kilobytes = 183.897441087091 q = 3 m = 7 n = 2159 s = 0 t = 44 u = 88 k = 1543 w = 66 ciphertext = [1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol616 = [1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol617 = [1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol618 = [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol619 = [1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol620 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol621 = [0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol622 = [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol623 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol624 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol625 = [0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol626 = [0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol627 = [2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol628 = [1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol629 = [2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1] pubkeycol630 = [0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2] pubkeycol631 = [0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol632 = [0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol633 = [0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol634 = [0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol635 = [0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol636 = [0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol637 = [2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0] pubkeycol638 = [1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol639 = [0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol640 = [0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol641 = [0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol642 = [0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol643 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1] pubkeycol644 = [0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol645 = [0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol646 = [1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol647 = [1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol648 = [0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol649 = [1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1] pubkeycol650 = [2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol651 = [1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol652 = [1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol653 = [2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol654 = [0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol655 = [2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol656 = [0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol657 = [0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol658 = [2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol659 = [1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol660 = [0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol661 = [2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol662 = [1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1] pubkeycol663 = [1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0] pubkeycol664 = [0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol665 = [1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol666 = [0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol667 = [2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol668 = [0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol669 = [2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol670 = [2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol671 = [1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol672 = [1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0] pubkeycol673 = [1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol674 = [2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol675 = [2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol676 = [2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol677 = [2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol678 = [2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol679 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol680 = [1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol681 = [2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol682 = [1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1] pubkeycol683 = [2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol684 = [2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2] pubkeycol685 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1] pubkeycol686 = [0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol687 = [1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol688 = [1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol689 = [1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol690 = [1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol691 = [0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol692 = [2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol693 = [2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol694 = [2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol695 = [0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol696 = [2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol697 = [1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol698 = [2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2] pubkeycol699 = [0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol700 = [2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol701 = [0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol702 = [1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0] pubkeycol703 = [0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol704 = [1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol705 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol706 = [2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol707 = [0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol708 = [1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol709 = [1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1] pubkeycol710 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol711 = [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol712 = [1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol713 = [0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0] pubkeycol714 = [1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol715 = [2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol716 = [1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol717 = [0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol718 = [2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol719 = [0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol720 = [0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol721 = [2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol722 = [2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol723 = [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol724 = [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol725 = [2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0] pubkeycol726 = [1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol727 = [2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0] pubkeycol728 = [2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2] pubkeycol729 = [1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol730 = [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol731 = [1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol732 = [0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2] pubkeycol733 = [1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1] pubkeycol734 = [1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol735 = [2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol736 = [2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol737 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol738 = [1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol739 = [2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol740 = [2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol741 = [2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol742 = [0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0] pubkeycol743 = [1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0] pubkeycol744 = [0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol745 = [1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol746 = [2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2] pubkeycol747 = [2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2] pubkeycol748 = [1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol749 = [1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2] pubkeycol750 = [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol751 = [0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol752 = [0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol753 = [1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol754 = [2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol755 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol756 = [2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol757 = [2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol758 = [2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol759 = [0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol760 = [2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol761 = [2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol762 = [0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1] pubkeycol763 = [0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol764 = [2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol765 = [0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol766 = [2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol767 = [2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol768 = [0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol769 = [2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol770 = [2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol771 = [0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol772 = [1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol773 = [2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol774 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol775 = [0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol776 = [1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol777 = [0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol778 = [1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2] pubkeycol779 = [2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol780 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1] pubkeycol781 = [2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol782 = [2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol783 = [2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol784 = [0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol785 = [2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol786 = [1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1] pubkeycol787 = [2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1] pubkeycol788 = [0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0] pubkeycol789 = [0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol790 = [1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol791 = [1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol792 = [2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol793 = [2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol794 = [2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0] pubkeycol795 = [0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol796 = [1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol797 = [1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol798 = [1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2] pubkeycol799 = [0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol800 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol801 = [1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0] pubkeycol802 = [2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol803 = [2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol804 = [2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0] pubkeycol805 = [0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol806 = [2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2] pubkeycol807 = [0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0] pubkeycol808 = [1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol809 = [1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol810 = [2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol811 = [2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol812 = [1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2] pubkeycol813 = [1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol814 = [0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2] pubkeycol815 = [2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol816 = [1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol817 = [0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1] pubkeycol818 = [2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol819 = [2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1] pubkeycol820 = [2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol821 = [2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol822 = [2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol823 = [1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol824 = [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol825 = [0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol826 = [2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol827 = [2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1] pubkeycol828 = [0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol829 = [0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol830 = [1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2] pubkeycol831 = [0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol832 = [2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol833 = [2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1] pubkeycol834 = [0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol835 = [1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol836 = [1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1] pubkeycol837 = [0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0] pubkeycol838 = [0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1] pubkeycol839 = [0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol840 = [2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol841 = [0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol842 = [0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol843 = [1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol844 = [0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol845 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol846 = [2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol847 = [0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2] pubkeycol848 = [2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol849 = [2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol850 = [2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol851 = [0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol852 = [0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol853 = [2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1] pubkeycol854 = [2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol855 = [0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol856 = [0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1] pubkeycol857 = [0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1] pubkeycol858 = [0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol859 = [2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol860 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol861 = [0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0] pubkeycol862 = [2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol863 = [0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol864 = [2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol865 = [0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1] pubkeycol866 = [2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol867 = [1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol868 = [2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol869 = [2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol870 = [0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol871 = [1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2] pubkeycol872 = [0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol873 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol874 = [1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol875 = [0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol876 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol877 = [1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol878 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol879 = [0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1] pubkeycol880 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol881 = [2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol882 = [2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol883 = [0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol884 = [1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol885 = [0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol886 = [2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0] pubkeycol887 = [1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol888 = [0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol889 = [1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol890 = [1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1] pubkeycol891 = [0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol892 = [1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol893 = [0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol894 = [0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol895 = [2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol896 = [2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol897 = [0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol898 = [0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol899 = [2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol900 = [0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol901 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1] pubkeycol902 = [1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol903 = [1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol904 = [1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2] pubkeycol905 = [2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol906 = [0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0] pubkeycol907 = [2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol908 = [1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol909 = [1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol910 = [1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol911 = [1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol912 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol913 = [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol914 = [0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol915 = [0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol916 = [2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol917 = [1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol918 = [0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol919 = [1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol920 = [2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1] pubkeycol921 = [1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol922 = [2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol923 = [2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1] pubkeycol924 = [1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol925 = [1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2] pubkeycol926 = [2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol927 = [0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol928 = [0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol929 = [0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol930 = [0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol931 = [1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol932 = [0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol933 = [1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol934 = [1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol935 = [2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol936 = [0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol937 = [2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol938 = [1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1] pubkeycol939 = [2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol940 = [1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol941 = [1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol942 = [2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1] pubkeycol943 = [1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0] pubkeycol944 = [1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol945 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol946 = [0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol947 = [1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0] pubkeycol948 = [2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol949 = [1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol950 = [2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0] pubkeycol951 = [1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol952 = [2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol953 = [2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0] pubkeycol954 = [1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol955 = [2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol956 = [2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol957 = [2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol958 = [2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol959 = [0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0] pubkeycol960 = [2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol961 = [0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol962 = [1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol963 = [2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol964 = [0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1] pubkeycol965 = [0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol966 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1] pubkeycol967 = [1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0] pubkeycol968 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol969 = [0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol970 = [2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol971 = [0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1] pubkeycol972 = [1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol973 = [0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol974 = [2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol975 = [2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol976 = [0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2] pubkeycol977 = [1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2] pubkeycol978 = [0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2] pubkeycol979 = [2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol980 = [2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0] pubkeycol981 = [2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0] pubkeycol982 = [0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol983 = [0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol984 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol985 = [2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol986 = [1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol987 = [1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol988 = [0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol989 = [0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol990 = [1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol991 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0] pubkeycol992 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol993 = [2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol994 = [2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol995 = [0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol996 = [0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol997 = [1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0] pubkeycol998 = [0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol999 = [2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol1000 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1] pubkeycol1001 = [0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0] pubkeycol1002 = [1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1] pubkeycol1003 = [0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol1004 = [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol1005 = [2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol1006 = [0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol1007 = [0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol1008 = [1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol1009 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol1010 = [1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol1011 = [2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol1012 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol1013 = [2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol1014 = [1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol1015 = [0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol1016 = [2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol1017 = [0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol1018 = [1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol1019 = [0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol1020 = [1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol1021 = [0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol1022 = [2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1] pubkeycol1023 = [1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol1024 = [2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol1025 = [1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol1026 = [1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol1027 = [2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol1028 = [1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol1029 = [1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1] pubkeycol1030 = [0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol1031 = [2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2] pubkeycol1032 = [0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0] pubkeycol1033 = [1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol1034 = [0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol1035 = [2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol1036 = [2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1] pubkeycol1037 = [0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol1038 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol1039 = [1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol1040 = [2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol1041 = [1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol1042 = [2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2] pubkeycol1043 = [0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol1044 = [0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol1045 = [0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol1046 = [0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1] pubkeycol1047 = [1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol1048 = [1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol1049 = [2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol1050 = [0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol1051 = [0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol1052 = [1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1053 = [1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol1054 = [0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol1055 = [0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol1056 = [1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol1057 = [1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol1058 = [1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol1059 = [0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol1060 = [0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol1061 = [1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol1062 = [2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2] pubkeycol1063 = [0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol1064 = [0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol1065 = [1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0] pubkeycol1066 = [1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol1067 = [0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2] pubkeycol1068 = [2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol1069 = [2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol1070 = [1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol1071 = [2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol1072 = [2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol1073 = [1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1] pubkeycol1074 = [1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol1075 = [1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol1076 = [1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol1077 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1] pubkeycol1078 = [2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol1079 = [1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1] pubkeycol1080 = [0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol1081 = [1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol1082 = [1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol1083 = [0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2] pubkeycol1084 = [0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol1085 = [0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol1086 = [2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol1087 = [2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol1088 = [0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol1089 = [1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1090 = [1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol1091 = [2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1092 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol1093 = [0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol1094 = [0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol1095 = [0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2] pubkeycol1096 = [2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol1097 = [1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2] pubkeycol1098 = [1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol1099 = [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol1100 = [0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1] pubkeycol1101 = [0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol1102 = [2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol1103 = [1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol1104 = [2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol1105 = [1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol1106 = [2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol1107 = [0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol1108 = [2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol1109 = [2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol1110 = [0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol1111 = [1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol1112 = [0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol1113 = [2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol1114 = [2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol1115 = [0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol1116 = [2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol1117 = [0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol1118 = [1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1] pubkeycol1119 = [2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1] pubkeycol1120 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol1121 = [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol1122 = [1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol1123 = [0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2] pubkeycol1124 = [2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol1125 = [2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol1126 = [1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol1127 = [1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2] pubkeycol1128 = [1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol1129 = [1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol1130 = [2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol1131 = [2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol1132 = [1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol1133 = [1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol1134 = [2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol1135 = [1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol1136 = [0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0] pubkeycol1137 = [1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1] pubkeycol1138 = [1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol1139 = [1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol1140 = [2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1141 = [2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1] pubkeycol1142 = [0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol1143 = [2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1144 = [0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol1145 = [2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol1146 = [2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol1147 = [1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0] pubkeycol1148 = [2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol1149 = [2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol1150 = [2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2] pubkeycol1151 = [2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol1152 = [0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol1153 = [1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol1154 = [1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol1155 = [2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1] pubkeycol1156 = [0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol1157 = [1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol1158 = [1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol1159 = [1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol1160 = [2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol1161 = [2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0] pubkeycol1162 = [0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol1163 = [0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol1164 = [1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol1165 = [0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol1166 = [1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol1167 = [1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol1168 = [0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol1169 = [2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol1170 = [0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0] pubkeycol1171 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol1172 = [1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol1173 = [0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol1174 = [2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol1175 = [2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2] pubkeycol1176 = [1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2] pubkeycol1177 = [1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0] pubkeycol1178 = [1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol1179 = [0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0] pubkeycol1180 = [2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1] pubkeycol1181 = [2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol1182 = [1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1] pubkeycol1183 = [0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol1184 = [2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol1185 = [2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol1186 = [2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol1187 = [2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2] pubkeycol1188 = [2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1] pubkeycol1189 = [1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol1190 = [1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol1191 = [1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2] pubkeycol1192 = [0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol1193 = [0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol1194 = [1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2] pubkeycol1195 = [0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol1196 = [2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol1197 = [2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol1198 = [1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol1199 = [0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol1200 = [0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol1201 = [0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol1202 = [0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol1203 = [0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol1204 = [2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1] pubkeycol1205 = [1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol1206 = [1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol1207 = [2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol1208 = [0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0] pubkeycol1209 = [0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol1210 = [0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol1211 = [1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1] pubkeycol1212 = [2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol1213 = [0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1] pubkeycol1214 = [0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2] pubkeycol1215 = [0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1] pubkeycol1216 = [0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol1217 = [0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol1218 = [2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol1219 = [0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol1220 = [2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2] pubkeycol1221 = [0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol1222 = [0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2] pubkeycol1223 = [1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol1224 = [2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol1225 = [0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol1226 = [0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol1227 = [1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0] pubkeycol1228 = [0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol1229 = [1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol1230 = [2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol1231 = [2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol1232 = [1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol1233 = [0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol1234 = [0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0] pubkeycol1235 = [2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol1236 = [2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1] pubkeycol1237 = [1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0] pubkeycol1238 = [0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol1239 = [2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1] pubkeycol1240 = [1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0] pubkeycol1241 = [2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol1242 = [2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol1243 = [2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol1244 = [1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol1245 = [0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1] pubkeycol1246 = [1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol1247 = [1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol1248 = [2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1] pubkeycol1249 = [2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol1250 = [2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2] pubkeycol1251 = [0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol1252 = [0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol1253 = [0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2] pubkeycol1254 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0] pubkeycol1255 = [2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol1256 = [0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1] pubkeycol1257 = [1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol1258 = [0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol1259 = [1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol1260 = [2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol1261 = [1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol1262 = [0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol1263 = [2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol1264 = [0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0] pubkeycol1265 = [1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2] pubkeycol1266 = [0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol1267 = [1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol1268 = [1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0] pubkeycol1269 = [1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol1270 = [0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol1271 = [2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol1272 = [0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol1273 = [2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol1274 = [1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol1275 = [2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2] pubkeycol1276 = [2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol1277 = [2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0] pubkeycol1278 = [0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol1279 = [2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol1280 = [2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol1281 = [2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2] pubkeycol1282 = [2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2] pubkeycol1283 = [1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol1284 = [0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol1285 = [2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol1286 = [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol1287 = [1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol1288 = [2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol1289 = [1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol1290 = [0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol1291 = [2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1] pubkeycol1292 = [2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol1293 = [2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol1294 = [0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol1295 = [1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2] pubkeycol1296 = [1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol1297 = [0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol1298 = [2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol1299 = [0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0] pubkeycol1300 = [2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol1301 = [2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol1302 = [0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol1303 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol1304 = [0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol1305 = [2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2] pubkeycol1306 = [0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol1307 = [1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol1308 = [1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2] pubkeycol1309 = [0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol1310 = [0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol1311 = [1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2] pubkeycol1312 = [1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol1313 = [2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol1314 = [1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol1315 = [0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol1316 = [1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol1317 = [2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol1318 = [0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol1319 = [2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol1320 = [2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2] pubkeycol1321 = [2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol1322 = [1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol1323 = [1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2] pubkeycol1324 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2] pubkeycol1325 = [2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1] pubkeycol1326 = [1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0] pubkeycol1327 = [0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol1328 = [0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1] pubkeycol1329 = [0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol1330 = [1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol1331 = [0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1] pubkeycol1332 = [1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol1333 = [2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol1334 = [1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1] pubkeycol1335 = [1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0] pubkeycol1336 = [1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol1337 = [2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol1338 = [1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol1339 = [0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol1340 = [2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol1341 = [2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol1342 = [0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol1343 = [0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol1344 = [0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol1345 = [0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol1346 = [1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2] pubkeycol1347 = [0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol1348 = [1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol1349 = [0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol1350 = [1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol1351 = [0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1] pubkeycol1352 = [1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol1353 = [0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol1354 = [2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol1355 = [0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol1356 = [2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0] pubkeycol1357 = [1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol1358 = [0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol1359 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol1360 = [0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol1361 = [0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1] pubkeycol1362 = [0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol1363 = [2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol1364 = [0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol1365 = [1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0] pubkeycol1366 = [2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2] pubkeycol1367 = [1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol1368 = [1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol1369 = [0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol1370 = [2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1] pubkeycol1371 = [2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol1372 = [2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol1373 = [2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2] pubkeycol1374 = [2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0] pubkeycol1375 = [0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol1376 = [1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol1377 = [2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0] pubkeycol1378 = [1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0] pubkeycol1379 = [1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol1380 = [2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol1381 = [2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol1382 = [2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol1383 = [2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol1384 = [1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2] pubkeycol1385 = [1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0] pubkeycol1386 = [1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol1387 = [1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0] pubkeycol1388 = [0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol1389 = [2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1] pubkeycol1390 = [2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2] pubkeycol1391 = [0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0] pubkeycol1392 = [1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol1393 = [2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol1394 = [1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol1395 = [0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1] pubkeycol1396 = [1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol1397 = [1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1] pubkeycol1398 = [2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol1399 = [0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol1400 = [0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol1401 = [0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol1402 = [2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2] pubkeycol1403 = [1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2] pubkeycol1404 = [1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol1405 = [1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1] pubkeycol1406 = [1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol1407 = [2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol1408 = [2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol1409 = [1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol1410 = [0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0] pubkeycol1411 = [1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol1412 = [0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0] pubkeycol1413 = [2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol1414 = [0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0] pubkeycol1415 = [2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2] pubkeycol1416 = [0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2] pubkeycol1417 = [0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol1418 = [2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol1419 = [0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol1420 = [1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol1421 = [1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0] pubkeycol1422 = [2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol1423 = [2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol1424 = [0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol1425 = [1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol1426 = [1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol1427 = [2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol1428 = [1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0] pubkeycol1429 = [0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol1430 = [1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol1431 = [2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol1432 = [1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol1433 = [0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2] pubkeycol1434 = [1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1] pubkeycol1435 = [1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol1436 = [0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2] pubkeycol1437 = [2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol1438 = [2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol1439 = [1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1] pubkeycol1440 = [1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol1441 = [0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0] pubkeycol1442 = [1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0] pubkeycol1443 = [1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol1444 = [2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol1445 = [0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol1446 = [2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol1447 = [2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0] pubkeycol1448 = [1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol1449 = [0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1] pubkeycol1450 = [0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0] pubkeycol1451 = [2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol1452 = [2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0] pubkeycol1453 = [1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol1454 = [2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol1455 = [0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2] pubkeycol1456 = [1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol1457 = [0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol1458 = [1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2] pubkeycol1459 = [1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol1460 = [0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2] pubkeycol1461 = [0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol1462 = [0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol1463 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol1464 = [0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol1465 = [0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol1466 = [2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2] pubkeycol1467 = [1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol1468 = [0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol1469 = [1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol1470 = [0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0] pubkeycol1471 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol1472 = [2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0] pubkeycol1473 = [1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol1474 = [0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2] pubkeycol1475 = [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol1476 = [2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol1477 = [0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol1478 = [1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol1479 = [0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2] pubkeycol1480 = [1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol1481 = [1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol1482 = [1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol1483 = [0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol1484 = [1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol1485 = [1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2] pubkeycol1486 = [2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0] pubkeycol1487 = [0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol1488 = [2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1] pubkeycol1489 = [1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol1490 = [1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1] pubkeycol1491 = [1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol1492 = [0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol1493 = [2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2] pubkeycol1494 = [1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol1495 = [0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1] pubkeycol1496 = [1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol1497 = [1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0] pubkeycol1498 = [2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol1499 = [0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol1500 = [1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol1501 = [1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol1502 = [1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol1503 = [2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol1504 = [0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol1505 = [0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol1506 = [1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0] pubkeycol1507 = [0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol1508 = [0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol1509 = [1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol1510 = [2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol1511 = [1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol1512 = [0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0] pubkeycol1513 = [1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol1514 = [0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol1515 = [1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol1516 = [1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol1517 = [0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol1518 = [0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0] pubkeycol1519 = [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2] pubkeycol1520 = [0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol1521 = [1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol1522 = [1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol1523 = [0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol1524 = [2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol1525 = [0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol1526 = [2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol1527 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol1528 = [2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0] pubkeycol1529 = [1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2] pubkeycol1530 = [2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol1531 = [1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol1532 = [1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0] pubkeycol1533 = [0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol1534 = [0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol1535 = [1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol1536 = [0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol1537 = [2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0] pubkeycol1538 = [0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol1539 = [1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1] pubkeycol1540 = [1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol1541 = [1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol1542 = [1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0] pubkeycol1543 = [2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1544 = [0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0] pubkeycol1545 = [1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol1546 = [2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol1547 = [0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol1548 = [1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol1549 = [2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol1550 = [0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol1551 = [2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1] pubkeycol1552 = [2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol1553 = [2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol1554 = [0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2] pubkeycol1555 = [0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2] pubkeycol1556 = [0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol1557 = [1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol1558 = [2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol1559 = [0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2] pubkeycol1560 = [2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol1561 = [0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1] pubkeycol1562 = [2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol1563 = [0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol1564 = [2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol1565 = [2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol1566 = [0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol1567 = [1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol1568 = [2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol1569 = [0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol1570 = [0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol1571 = [2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol1572 = [1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol1573 = [1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol1574 = [2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol1575 = [2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0] pubkeycol1576 = [0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol1577 = [1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol1578 = [2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0] pubkeycol1579 = [2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol1580 = [2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol1581 = [0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol1582 = [2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol1583 = [2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol1584 = [1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1] pubkeycol1585 = [2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1] pubkeycol1586 = [2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol1587 = [2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0] pubkeycol1588 = [0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol1589 = [2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol1590 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2] pubkeycol1591 = [1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol1592 = [2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol1593 = [2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2] pubkeycol1594 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2] pubkeycol1595 = [0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol1596 = [2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2] pubkeycol1597 = [1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0] pubkeycol1598 = [0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol1599 = [0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol1600 = [2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol1601 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2] pubkeycol1602 = [1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol1603 = [2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol1604 = [0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol1605 = [2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol1606 = [1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol1607 = [0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1] pubkeycol1608 = [0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol1609 = [1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol1610 = [2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol1611 = [1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1] pubkeycol1612 = [0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol1613 = [1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol1614 = [1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol1615 = [2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol1616 = [0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol1617 = [1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0] pubkeycol1618 = [0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol1619 = [0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol1620 = [2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2] pubkeycol1621 = [1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0] pubkeycol1622 = [0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol1623 = [0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol1624 = [2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol1625 = [0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0] pubkeycol1626 = [1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol1627 = [0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0] pubkeycol1628 = [0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol1629 = [0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol1630 = [1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol1631 = [1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol1632 = [0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol1633 = [1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2] pubkeycol1634 = [2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2] pubkeycol1635 = [0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol1636 = [0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol1637 = [0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol1638 = [0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol1639 = [2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol1640 = [0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol1641 = [1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2] pubkeycol1642 = [1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol1643 = [2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1] pubkeycol1644 = [0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol1645 = [0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol1646 = [2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol1647 = [2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol1648 = [0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0] pubkeycol1649 = [1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1] pubkeycol1650 = [2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1] pubkeycol1651 = [0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol1652 = [0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol1653 = [1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0] pubkeycol1654 = [1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0] pubkeycol1655 = [2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol1656 = [1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol1657 = [1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol1658 = [1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol1659 = [1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol1660 = [1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol1661 = [2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol1662 = [2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol1663 = [1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol1664 = [1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol1665 = [0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0] pubkeycol1666 = [2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0] pubkeycol1667 = [2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol1668 = [0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol1669 = [0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol1670 = [1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol1671 = [2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol1672 = [2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0] pubkeycol1673 = [1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0] pubkeycol1674 = [0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0] pubkeycol1675 = [0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0] pubkeycol1676 = [0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol1677 = [2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2] pubkeycol1678 = [0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1] pubkeycol1679 = [2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol1680 = [1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol1681 = [2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2] pubkeycol1682 = [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol1683 = [2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1] pubkeycol1684 = [0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2] pubkeycol1685 = [2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0] pubkeycol1686 = [0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol1687 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0] pubkeycol1688 = [1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol1689 = [1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol1690 = [1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1] pubkeycol1691 = [1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol1692 = [2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol1693 = [0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol1694 = [0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2] pubkeycol1695 = [0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol1696 = [1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol1697 = [0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol1698 = [0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol1699 = [1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2] pubkeycol1700 = [0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol1701 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol1702 = [1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol1703 = [0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol1704 = [0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol1705 = [1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2] pubkeycol1706 = [0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol1707 = [2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol1708 = [2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2] pubkeycol1709 = [1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol1710 = [0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol1711 = [1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1] pubkeycol1712 = [2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol1713 = [0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol1714 = [2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol1715 = [0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0] pubkeycol1716 = [0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol1717 = [0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol1718 = [0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2] pubkeycol1719 = [2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol1720 = [0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol1721 = [2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2] pubkeycol1722 = [2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol1723 = [2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1724 = [1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol1725 = [0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol1726 = [2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol1727 = [0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol1728 = [2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol1729 = [0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol1730 = [2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1] pubkeycol1731 = [1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0] pubkeycol1732 = [1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1] pubkeycol1733 = [2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0] pubkeycol1734 = [1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol1735 = [0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1] pubkeycol1736 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol1737 = [1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0] pubkeycol1738 = [2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol1739 = [2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol1740 = [0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1] pubkeycol1741 = [0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol1742 = [2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0] pubkeycol1743 = [1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol1744 = [2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol1745 = [2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2] pubkeycol1746 = [0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol1747 = [0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol1748 = [2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol1749 = [1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1] pubkeycol1750 = [2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol1751 = [1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1] pubkeycol1752 = [2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol1753 = [2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol1754 = [2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol1755 = [0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol1756 = [0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol1757 = [0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol1758 = [2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol1759 = [1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol1760 = [1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol1761 = [0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol1762 = [0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol1763 = [0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol1764 = [2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol1765 = [0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol1766 = [1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2] pubkeycol1767 = [0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol1768 = [1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol1769 = [1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol1770 = [2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol1771 = [0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol1772 = [1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol1773 = [1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol1774 = [1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol1775 = [1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol1776 = [0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol1777 = [0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol1778 = [1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1] pubkeycol1779 = [1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol1780 = [0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol1781 = [2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol1782 = [2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol1783 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol1784 = [2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2] pubkeycol1785 = [0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol1786 = [1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol1787 = [2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol1788 = [1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol1789 = [0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol1790 = [1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol1791 = [0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol1792 = [0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1] pubkeycol1793 = [1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0] pubkeycol1794 = [0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1] pubkeycol1795 = [1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2] pubkeycol1796 = [1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1797 = [0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol1798 = [0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol1799 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol1800 = [1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol1801 = [2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol1802 = [2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2] pubkeycol1803 = [2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol1804 = [1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol1805 = [1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol1806 = [0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol1807 = [2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol1808 = [2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol1809 = [2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol1810 = [0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0] pubkeycol1811 = [0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2] pubkeycol1812 = [1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol1813 = [0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol1814 = [0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol1815 = [1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol1816 = [2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol1817 = [2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol1818 = [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol1819 = [0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2] pubkeycol1820 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1] pubkeycol1821 = [2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol1822 = [0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol1823 = [1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol1824 = [0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol1825 = [1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0] pubkeycol1826 = [1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol1827 = [0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2] pubkeycol1828 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1] pubkeycol1829 = [1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol1830 = [2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol1831 = [1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2] pubkeycol1832 = [1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol1833 = [0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol1834 = [0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol1835 = [2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol1836 = [2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol1837 = [1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol1838 = [2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol1839 = [0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2] pubkeycol1840 = [0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol1841 = [0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol1842 = [2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol1843 = [2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol1844 = [1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol1845 = [1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol1846 = [0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol1847 = [0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1] pubkeycol1848 = [1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol1849 = [1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol1850 = [1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol1851 = [1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol1852 = [1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol1853 = [1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol1854 = [2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1855 = [1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2] pubkeycol1856 = [1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol1857 = [2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2] pubkeycol1858 = [1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0] pubkeycol1859 = [0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol1860 = [1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0] pubkeycol1861 = [1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0] pubkeycol1862 = [2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol1863 = [2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2] pubkeycol1864 = [1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2] pubkeycol1865 = [2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2] pubkeycol1866 = [0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol1867 = [0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol1868 = [2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol1869 = [2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol1870 = [1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol1871 = [0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2] pubkeycol1872 = [2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol1873 = [1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol1874 = [2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol1875 = [0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol1876 = [2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2] pubkeycol1877 = [1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0] pubkeycol1878 = [0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol1879 = [0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol1880 = [0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2] pubkeycol1881 = [1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol1882 = [1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol1883 = [0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0] pubkeycol1884 = [0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol1885 = [2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol1886 = [2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol1887 = [2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0] pubkeycol1888 = [0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0] pubkeycol1889 = [2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1] pubkeycol1890 = [2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol1891 = [1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0] pubkeycol1892 = [2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] pubkeycol1893 = [0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol1894 = [0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1] pubkeycol1895 = [2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol1896 = [1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol1897 = [1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol1898 = [1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1] pubkeycol1899 = [0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol1900 = [2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol1901 = [0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0] pubkeycol1902 = [0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol1903 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol1904 = [1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0] pubkeycol1905 = [1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol1906 = [2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol1907 = [0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol1908 = [0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol1909 = [1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol1910 = [1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol1911 = [0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1912 = [2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol1913 = [2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol1914 = [1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2] pubkeycol1915 = [2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol1916 = [2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol1917 = [1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0] pubkeycol1918 = [0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol1919 = [1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol1920 = [0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2] pubkeycol1921 = [1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol1922 = [1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol1923 = [1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol1924 = [0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2] pubkeycol1925 = [2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2] pubkeycol1926 = [1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol1927 = [0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol1928 = [1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol1929 = [1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol1930 = [0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol1931 = [0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol1932 = [2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol1933 = [2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol1934 = [0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1] pubkeycol1935 = [0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol1936 = [0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol1937 = [2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol1938 = [0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol1939 = [1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2] pubkeycol1940 = [2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol1941 = [0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol1942 = [2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol1943 = [2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol1944 = [2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2] pubkeycol1945 = [1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol1946 = [0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1] pubkeycol1947 = [0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol1948 = [2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1] pubkeycol1949 = [0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol1950 = [1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol1951 = [1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1] pubkeycol1952 = [1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol1953 = [2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol1954 = [0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol1955 = [2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol1956 = [0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol1957 = [2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol1958 = [2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol1959 = [2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0] pubkeycol1960 = [1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol1961 = [2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0] pubkeycol1962 = [1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol1963 = [1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol1964 = [0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol1965 = [0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol1966 = [2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2] pubkeycol1967 = [0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol1968 = [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol1969 = [0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol1970 = [2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol1971 = [2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol1972 = [0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol1973 = [1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol1974 = [0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol1975 = [0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol1976 = [2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1] pubkeycol1977 = [1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol1978 = [1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol1979 = [1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol1980 = [0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol1981 = [0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol1982 = [2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol1983 = [1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol1984 = [1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol1985 = [2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol1986 = [2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0] pubkeycol1987 = [1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2] pubkeycol1988 = [0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol1989 = [0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol1990 = [0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol1991 = [0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol1992 = [2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0] pubkeycol1993 = [0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol1994 = [2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol1995 = [1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1] pubkeycol1996 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol1997 = [1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol1998 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0] pubkeycol1999 = [2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0] pubkeycol2000 = [1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1] pubkeycol2001 = [1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol2002 = [1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol2003 = [2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol2004 = [1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol2005 = [2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol2006 = [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol2007 = [2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol2008 = [1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol2009 = [0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2] pubkeycol2010 = [2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol2011 = [1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol2012 = [1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1] pubkeycol2013 = [1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol2014 = [0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol2015 = [0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol2016 = [0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0] pubkeycol2017 = [1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2] pubkeycol2018 = [0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol2019 = [2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol2020 = [2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol2021 = [2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol2022 = [1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol2023 = [1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol2024 = [2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol2025 = [2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1] pubkeycol2026 = [0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol2027 = [1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol2028 = [2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0] pubkeycol2029 = [0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol2030 = [1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol2031 = [0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol2032 = [0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol2033 = [0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2] pubkeycol2034 = [1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol2035 = [2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol2036 = [1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol2037 = [1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol2038 = [1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol2039 = [2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2] pubkeycol2040 = [2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol2041 = [2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol2042 = [2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1] pubkeycol2043 = [2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1] pubkeycol2044 = [1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1] pubkeycol2045 = [0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol2046 = [0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol2047 = [1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol2048 = [2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1] pubkeycol2049 = [0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0] pubkeycol2050 = [0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2] pubkeycol2051 = [0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1] pubkeycol2052 = [1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol2053 = [0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0] pubkeycol2054 = [2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol2055 = [1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol2056 = [1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol2057 = [1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol2058 = [0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol2059 = [0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0] pubkeycol2060 = [1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1] pubkeycol2061 = [1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol2062 = [1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2] pubkeycol2063 = [0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0] pubkeycol2064 = [2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol2065 = [2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol2066 = [2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol2067 = [2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol2068 = [2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol2069 = [2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol2070 = [0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2] pubkeycol2071 = [0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol2072 = [0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol2073 = [0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0] pubkeycol2074 = [2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol2075 = [0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol2076 = [1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0] pubkeycol2077 = [1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol2078 = [2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol2079 = [0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1] pubkeycol2080 = [2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1] pubkeycol2081 = [1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2] pubkeycol2082 = [0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol2083 = [2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol2084 = [1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol2085 = [0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol2086 = [1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol2087 = [1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1] pubkeycol2088 = [2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol2089 = [0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol2090 = [0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol2091 = [1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol2092 = [2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0] pubkeycol2093 = [0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol2094 = [2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol2095 = [1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol2096 = [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0] pubkeycol2097 = [2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0] pubkeycol2098 = [1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0] pubkeycol2099 = [1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol2100 = [0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol2101 = [0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1] pubkeycol2102 = [1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol2103 = [2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2] pubkeycol2104 = [1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol2105 = [0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1] pubkeycol2106 = [1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1] pubkeycol2107 = [2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2] pubkeycol2108 = [2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol2109 = [2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2] pubkeycol2110 = [1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol2111 = [0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol2112 = [1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol2113 = [0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol2114 = [1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol2115 = [2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol2116 = [2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol2117 = [1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol2118 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol2119 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0] pubkeycol2120 = [2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2] pubkeycol2121 = [2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2] pubkeycol2122 = [1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol2123 = [2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2] pubkeycol2124 = [0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol2125 = [0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol2126 = [0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol2127 = [2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol2128 = [2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol2129 = [0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2] pubkeycol2130 = [0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2] pubkeycol2131 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0] pubkeycol2132 = [0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0] pubkeycol2133 = [0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol2134 = [1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0] pubkeycol2135 = [1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1] pubkeycol2136 = [0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol2137 = [2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2] pubkeycol2138 = [2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol2139 = [1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol2140 = [1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2] pubkeycol2141 = [2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol2142 = [2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol2143 = [0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol2144 = [0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol2145 = [0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol2146 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol2147 = [0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol2148 = [0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0] pubkeycol2149 = [0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0] pubkeycol2150 = [2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol2151 = [0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol2152 = [1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol2153 = [1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1] pubkeycol2154 = [0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0] pubkeycol2155 = [2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1] pubkeycol2156 = [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1] pubkeycol2157 = [2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol2158 = [0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2]