kilobytes = 175.505111859650 q = 5 m = 5 n = 1770 s = 0 t = 24 u = 96 k = 1290 w = 60 ciphertext = [3, 1, 3, 1, 3, 2, 1, 3, 3, 1, 0, 2, 2, 1, 1, 3, 4, 3, 0, 0, 1, 4, 2, 4, 1, 1, 0, 0, 1, 1, 3, 4, 1, 3, 3, 0, 2, 3, 0, 0, 0, 0, 1, 3, 2, 4, 0, 1, 3, 1, 3, 0, 0, 3, 4, 0, 3, 2, 2, 2, 3, 2, 3, 2, 0, 3, 2, 0, 1, 1, 1, 1, 1, 4, 1, 2, 4, 2, 0, 2, 1, 0, 0, 0, 3, 1, 0, 2, 1, 3, 2, 0, 4, 2, 0, 4, 4, 4, 0, 2, 3, 3, 2, 4, 4, 4, 4, 1, 1, 1, 1, 2, 1, 3, 3, 2, 0, 2, 2, 2, 0, 0, 4, 3, 2, 0, 0, 3, 2, 4, 0, 1, 1, 3, 4, 3, 4, 0, 3, 3, 0, 2, 4, 4, 1, 1, 4, 4, 1, 2, 0, 3, 4, 2, 1, 4, 0, 3, 2, 2, 1, 2, 4, 2, 2, 0, 1, 4, 0, 2, 1, 0, 2, 4, 0, 2, 0, 4, 3, 4, 4, 1, 3, 0, 2, 4, 2, 2, 4, 3, 4, 1, 3, 0, 1, 3, 0, 3, 1, 3, 2, 1, 1, 2, 4, 0, 1, 2, 3, 4, 2, 4, 1, 3, 1, 2, 2, 4, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 4, 4, 2, 3, 4, 1, 3, 0, 2, 3, 0, 2, 2, 4, 3, 1, 2, 2, 3, 2, 2, 1, 1, 3, 1, 3, 3, 4, 4, 4, 3, 2, 2, 1, 0, 2, 3, 1, 1, 1, 4, 1, 0, 4, 2, 3, 0, 3, 1, 4, 1, 4, 2, 0, 4, 0, 4, 4, 1, 1, 0, 3, 4, 2, 3, 1, 4, 0, 0, 4, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 3, 4, 4, 2, 3, 2, 2, 1, 1, 3, 1, 3, 2, 1, 3, 0, 1, 1, 3, 0, 4, 4, 0, 1, 3, 4, 1, 0, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 1, 0, 0, 1, 4, 1, 2, 0, 1, 4, 3, 4, 4, 3, 0, 3, 1, 3, 3, 3, 1, 3, 2, 3, 0, 2, 0, 1, 2, 0, 0, 0, 3, 2, 2, 4, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 3, 3, 1, 0, 0, 2, 3, 1, 3, 0, 3, 3, 4, 0, 0, 2, 2, 1, 2, 2, 2, 4, 0, 4, 4, 1, 2, 0, 1, 0, 3, 3, 0, 4, 2, 3, 1, 0, 0, 2, 2, 2, 4, 4, 2, 4, 2, 2, 1, 2, 0, 1, 4, 2, 2, 3, 0, 4, 0, 3, 1, 2, 4, 2, 0, 0, 4, 2, 0, 1, 0, 4, 3, 3, 3, 2, 1, 1, 0, 0, 4, 3, 3, 3, 0, 1, 3] recovered_plaintext_using_secret_key = True pubkeycol480 = [0, 1, 3, 0, 1, 4, 0, 2, 2, 2, 0, 4, 2, 0, 1, 0, 1, 3, 0, 2, 2, 4, 4, 1, 0, 4, 3, 3, 1, 0, 1, 4, 4, 4, 1, 3, 2, 4, 0, 2, 0, 3, 4, 3, 2, 0, 4, 0, 1, 1, 2, 0, 1, 3, 2, 4, 1, 4, 0, 0, 1, 1, 4, 2, 3, 4, 4, 1, 4, 2, 3, 4, 0, 4, 1, 1, 3, 0, 2, 3, 1, 4, 0, 1, 2, 0, 2, 3, 2, 0, 4, 3, 3, 4, 3, 4, 0, 1, 3, 1, 0, 3, 2, 4, 2, 3, 2, 3, 2, 2, 4, 3, 0, 4, 2, 2, 2, 4, 2, 0, 1, 0, 1, 2, 1, 0, 4, 2, 4, 4, 0, 3, 0, 2, 4, 4, 4, 4, 3, 4, 2, 0, 4, 2, 3, 4, 3, 3, 3, 1, 1, 1, 4, 1, 1, 4, 4, 4, 4, 3, 2, 4, 1, 2, 0, 2, 1, 1, 2, 2, 4, 2, 0, 2, 3, 0, 4, 4, 1, 1, 0, 0, 3, 3, 2, 3, 4, 1, 1, 1, 3, 2, 4, 2, 3, 3, 2, 0, 0, 1, 0, 4, 3, 4, 1, 3, 4, 2, 1, 4, 2, 3, 4, 3, 2, 4, 1, 1, 1, 2, 1, 0, 2, 3, 3, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 4, 1, 0, 0, 4, 4, 3, 1, 1, 4, 1, 4, 1, 1, 4, 0, 3, 2, 2, 3, 1, 4, 4, 3, 1, 3, 0, 0, 0, 1, 1, 3, 0, 2, 1, 2, 2, 0, 4, 2, 3, 1, 3, 1, 4, 4, 2, 0, 2, 4, 0, 1, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 3, 3, 4, 0, 4, 1, 1, 1, 2, 1, 3, 4, 0, 0, 1, 3, 0, 4, 2, 2, 2, 2, 1, 3, 2, 4, 3, 4, 1, 3, 1, 1, 0, 2, 3, 2, 4, 2, 1, 4, 2, 3, 3, 1, 1, 2, 4, 1, 4, 2, 4, 4, 4, 2, 0, 4, 4, 4, 0, 0, 0, 3, 2, 2, 4, 0, 3, 1, 2, 4, 1, 0, 4, 1, 3, 1, 3, 4, 4, 4, 1, 4, 0, 3, 4, 2, 2, 0, 2, 0, 3, 2, 4, 1, 3, 1, 4, 4, 2, 0, 3, 4, 1, 4, 4, 0, 4, 4, 0, 0, 0, 1, 3, 1, 1, 1, 4, 3, 2, 2, 4, 2, 1, 3, 0, 3, 3, 1, 2, 0, 4, 4, 3, 0, 1, 3, 4, 2, 4, 4, 3, 4, 4, 1, 1, 0, 3, 1, 3, 0, 2, 3, 2, 2, 0, 1, 3, 3, 2, 3, 1, 2, 3, 0, 2, 1, 2, 0, 3, 4, 2, 0, 3, 4, 3, 0, 3, 2, 2, 3, 4, 4] pubkeycol481 = [1, 4, 0, 2, 3, 3, 3, 1, 1, 1, 0, 0, 3, 1, 4, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 4, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 3, 3, 3, 4, 0, 0, 1, 2, 4, 2, 2, 1, 0, 4, 0, 0, 1, 1, 3, 1, 1, 1, 1, 2, 4, 0, 4, 2, 4, 0, 1, 3, 3, 1, 1, 0, 4, 4, 3, 2, 3, 3, 1, 1, 2, 4, 1, 0, 3, 4, 0, 0, 3, 3, 2, 2, 0, 0, 4, 2, 0, 2, 1, 0, 2, 3, 4, 0, 3, 1, 2, 0, 2, 3, 0, 1, 3, 3, 3, 3, 1, 3, 1, 0, 4, 0, 2, 4, 2, 4, 1, 1, 1, 2, 2, 0, 4, 2, 1, 0, 2, 0, 2, 3, 2, 3, 2, 3, 4, 2, 3, 2, 0, 0, 0, 0, 1, 2, 0, 0, 3, 1, 1, 3, 0, 0, 2, 3, 2, 2, 2, 0, 1, 3, 0, 4, 0, 1, 1, 0, 2, 4, 0, 1, 4, 2, 1, 4, 1, 3, 0, 1, 2, 2, 1, 3, 0, 1, 4, 4, 1, 0, 4, 4, 3, 0, 3, 4, 3, 4, 2, 0, 4, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 3, 2, 2, 0, 1, 3, 0, 1, 0, 4, 0, 4, 3, 4, 0, 4, 3, 2, 0, 2, 1, 0, 2, 2, 3, 3, 0, 2, 3, 2, 1, 3, 3, 1, 1, 3, 4, 3, 2, 4, 2, 4, 4, 0, 1, 0, 0, 0, 0, 3, 4, 1, 1, 0, 3, 1, 3, 2, 0, 0, 4, 1, 4, 1, 3, 3, 3, 1, 3, 2, 1, 1, 2, 4, 3, 0, 1, 1, 3, 4, 4, 0, 4, 0, 2, 2, 1, 3, 2, 0, 1, 0, 4, 0, 0, 2, 1, 4, 0, 0, 3, 1, 4, 1, 4, 3, 2, 4, 4, 4, 4, 3, 0, 0, 4, 1, 0, 4, 4, 1, 4, 1, 1, 2, 1, 0, 1, 1, 3, 2, 0, 0, 4, 3, 0, 3, 2, 3, 4, 1, 2, 1, 4, 1, 0, 1, 4, 2, 4, 3, 0, 0, 2, 0, 4, 3, 4, 2, 4, 2, 3, 4, 3, 0, 0, 1, 0, 2, 2, 4, 2, 4, 0, 4, 2, 3, 2, 4, 2, 0, 3, 0, 0, 3, 1, 1, 4, 1, 3, 0, 4, 0, 1, 3, 3, 0, 4, 3, 0, 4, 1, 1, 2, 4, 0, 1, 1, 3, 3, 0, 2, 2, 0, 0, 1, 3, 3, 4, 2, 0, 3, 0, 2, 2, 1, 1, 3, 3, 3, 1, 3, 4, 3, 0, 4, 3, 0, 0, 0, 3, 4, 1, 3, 3, 1, 0, 1, 3, 4, 4, 1, 4, 4, 2, 3, 3, 4, 0] pubkeycol482 = [2, 0, 4, 3, 3, 2, 2, 1, 2, 0, 0, 3, 0, 4, 1, 0, 1, 1, 3, 4, 4, 3, 3, 0, 3, 3, 2, 0, 4, 3, 3, 2, 3, 0, 4, 4, 1, 1, 2, 2, 0, 0, 1, 0, 3, 0, 3, 2, 2, 3, 4, 3, 4, 1, 0, 4, 0, 2, 1, 0, 4, 1, 4, 3, 4, 0, 0, 1, 0, 1, 1, 3, 0, 1, 4, 2, 4, 3, 3, 1, 3, 1, 2, 2, 0, 3, 3, 1, 2, 1, 1, 2, 4, 3, 0, 2, 4, 3, 0, 1, 1, 3, 2, 3, 3, 4, 2, 2, 3, 4, 3, 4, 0, 0, 4, 3, 4, 1, 0, 3, 1, 2, 1, 3, 2, 0, 0, 2, 2, 4, 2, 4, 1, 0, 1, 3, 0, 3, 1, 1, 1, 2, 0, 3, 4, 0, 4, 0, 0, 2, 0, 1, 4, 4, 1, 4, 2, 2, 2, 0, 1, 0, 2, 3, 1, 2, 3, 1, 3, 1, 4, 0, 3, 1, 2, 4, 0, 1, 0, 1, 0, 0, 1, 0, 4, 4, 4, 4, 1, 0, 2, 2, 3, 3, 4, 0, 4, 2, 0, 4, 0, 3, 0, 1, 3, 0, 0, 4, 3, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 3, 3, 1, 4, 2, 4, 1, 1, 1, 3, 2, 1, 2, 3, 2, 4, 4, 3, 0, 4, 1, 2, 2, 1, 3, 3, 2, 4, 3, 0, 1, 4, 2, 1, 1, 3, 1, 3, 3, 2, 0, 1, 4, 0, 4, 0, 3, 4, 1, 4, 0, 1, 0, 2, 1, 4, 3, 4, 1, 1, 2, 0, 1, 4, 3, 0, 0, 4, 2, 3, 3, 1, 1, 4, 4, 1, 2, 4, 1, 3, 0, 0, 1, 0, 0, 3, 1, 0, 0, 3, 0, 1, 4, 3, 3, 1, 3, 3, 3, 4, 2, 4, 2, 3, 4, 2, 1, 4, 1, 0, 3, 3, 2, 4, 2, 3, 4, 2, 0, 3, 3, 4, 1, 1, 1, 0, 0, 2, 4, 4, 4, 1, 3, 2, 0, 4, 3, 4, 0, 2, 2, 3, 3, 1, 3, 4, 2, 1, 1, 2, 2, 1, 4, 0, 0, 1, 4, 0, 4, 1, 3, 4, 0, 2, 1, 0, 2, 0, 4, 2, 3, 0, 4, 4, 1, 3, 2, 0, 0, 1, 0, 1, 2, 1, 4, 2, 1, 3, 3, 0, 0, 4, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 3, 4, 3, 2, 1, 0, 4, 3, 1, 4, 0, 4, 0, 3, 1, 1, 4, 1, 0, 2, 3, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 3, 3, 1, 3, 0, 4, 4, 2, 4, 2, 4, 2, 1, 0, 3, 3, 1, 0, 3, 0, 2, 3, 2, 0] pubkeycol483 = [1, 2, 4, 3, 0, 1, 1, 0, 2, 1, 0, 2, 3, 3, 3, 0, 4, 0, 3, 4, 2, 0, 2, 1, 1, 1, 4, 0, 0, 4, 2, 0, 0, 1, 2, 1, 2, 3, 1, 4, 3, 3, 2, 3, 2, 1, 1, 1, 0, 2, 2, 4, 0, 4, 4, 0, 1, 0, 0, 3, 3, 1, 1, 0, 1, 3, 2, 1, 1, 4, 0, 4, 0, 2, 0, 0, 3, 3, 0, 2, 0, 2, 3, 2, 0, 0, 1, 1, 3, 0, 3, 3, 4, 3, 1, 2, 2, 4, 3, 3, 1, 1, 0, 3, 3, 1, 2, 1, 0, 4, 1, 1, 3, 2, 0, 3, 4, 2, 0, 2, 4, 2, 4, 3, 4, 2, 4, 0, 2, 1, 2, 3, 3, 3, 0, 2, 3, 0, 4, 3, 0, 1, 4, 4, 4, 4, 2, 1, 4, 0, 3, 4, 4, 2, 1, 2, 0, 1, 0, 1, 4, 2, 0, 1, 0, 3, 2, 0, 2, 1, 2, 3, 4, 0, 2, 2, 4, 1, 0, 1, 4, 3, 1, 2, 0, 2, 1, 2, 0, 1, 4, 0, 1, 4, 0, 1, 2, 1, 3, 4, 4, 3, 0, 4, 4, 1, 0, 2, 3, 4, 3, 2, 1, 0, 4, 1, 3, 1, 0, 3, 3, 1, 3, 2, 0, 3, 1, 2, 3, 2, 4, 3, 0, 0, 4, 4, 1, 0, 2, 4, 1, 4, 2, 0, 0, 4, 2, 0, 0, 2, 4, 0, 4, 0, 4, 1, 4, 4, 4, 4, 2, 4, 0, 1, 1, 3, 2, 2, 1, 0, 0, 0, 3, 3, 0, 4, 2, 1, 4, 2, 0, 1, 2, 1, 4, 0, 4, 0, 4, 3, 1, 0, 0, 2, 3, 0, 0, 1, 0, 3, 3, 0, 4, 0, 0, 4, 2, 0, 0, 0, 1, 3, 4, 1, 2, 0, 4, 0, 0, 2, 4, 4, 1, 2, 1, 3, 3, 3, 3, 0, 4, 0, 3, 0, 4, 4, 0, 3, 2, 0, 1, 1, 2, 3, 3, 2, 3, 1, 3, 0, 1, 4, 1, 4, 2, 2, 1, 3, 3, 2, 4, 2, 2, 4, 2, 3, 0, 3, 1, 4, 3, 3, 0, 1, 1, 3, 0, 1, 4, 3, 2, 1, 3, 2, 4, 3, 0, 0, 0, 4, 2, 4, 4, 2, 3, 0, 0, 3, 2, 3, 2, 1, 1, 0, 1, 0, 0, 1, 0, 4, 4, 3, 0, 1, 1, 2, 4, 4, 3, 3, 0, 3, 4, 1, 0, 3, 3, 1, 3, 0, 0, 4, 1, 3, 2, 2, 4, 3, 2, 0, 4, 4, 0, 4, 4, 1, 4, 4, 3, 4, 0, 1, 0, 1, 1, 3, 1, 4, 4, 2, 1, 2, 4, 1, 4, 3, 0, 0, 3, 0, 1, 4, 1, 1, 3, 0, 0, 0, 0, 2] pubkeycol484 = [2, 0, 4, 4, 1, 1, 2, 3, 2, 0, 4, 0, 3, 0, 3, 2, 1, 0, 0, 1, 2, 1, 4, 3, 4, 3, 2, 4, 3, 0, 0, 1, 0, 3, 2, 1, 4, 1, 4, 1, 3, 0, 0, 1, 2, 2, 3, 4, 2, 1, 4, 2, 3, 4, 2, 1, 0, 1, 1, 3, 4, 3, 1, 3, 4, 0, 0, 4, 4, 4, 4, 0, 2, 2, 3, 1, 0, 4, 1, 1, 4, 3, 1, 2, 1, 3, 2, 4, 1, 2, 1, 3, 2, 3, 4, 1, 1, 0, 3, 0, 1, 1, 1, 1, 0, 1, 3, 1, 3, 2, 2, 1, 2, 2, 0, 1, 4, 3, 1, 0, 3, 3, 1, 4, 3, 1, 1, 1, 1, 3, 1, 2, 1, 1, 4, 4, 1, 1, 0, 1, 3, 2, 4, 1, 1, 3, 0, 2, 1, 0, 1, 2, 0, 3, 2, 3, 4, 0, 3, 4, 0, 0, 2, 1, 0, 1, 3, 4, 2, 0, 3, 4, 3, 0, 1, 4, 2, 3, 2, 3, 1, 1, 4, 0, 2, 0, 0, 1, 3, 0, 1, 1, 2, 0, 3, 1, 0, 2, 4, 1, 4, 4, 3, 4, 2, 2, 3, 0, 1, 3, 4, 1, 1, 2, 2, 3, 2, 1, 0, 0, 3, 2, 4, 0, 3, 0, 0, 1, 2, 1, 1, 2, 3, 4, 1, 1, 2, 0, 0, 0, 0, 0, 1, 3, 2, 1, 4, 0, 3, 3, 0, 2, 4, 4, 4, 3, 0, 2, 1, 1, 3, 0, 0, 2, 3, 3, 0, 0, 2, 3, 2, 3, 2, 1, 4, 3, 0, 4, 2, 4, 1, 0, 0, 3, 2, 0, 2, 0, 3, 4, 0, 4, 1, 3, 0, 4, 2, 0, 3, 4, 1, 1, 2, 4, 4, 1, 2, 2, 1, 4, 2, 3, 0, 2, 3, 1, 3, 2, 4, 3, 0, 0, 3, 4, 1, 2, 0, 0, 4, 0, 1, 1, 0, 1, 4, 4, 1, 2, 4, 0, 4, 1, 0, 2, 2, 2, 1, 2, 1, 2, 4, 1, 0, 2, 3, 0, 4, 4, 1, 4, 3, 1, 3, 2, 2, 1, 0, 0, 1, 4, 4, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 3, 1, 0, 3, 2, 3, 0, 0, 4, 2, 4, 0, 4, 1, 0, 3, 4, 4, 1, 0, 2, 4, 3, 1, 4, 1, 1, 2, 2, 1, 4, 4, 4, 4, 0, 3, 4, 4, 2, 1, 2, 0, 0, 4, 1, 3, 0, 0, 4, 0, 2, 3, 3, 1, 4, 0, 4, 3, 3, 1, 4, 4, 3, 3, 2, 2, 3, 2, 0, 3, 2, 4, 1, 0, 1, 1, 2, 1, 2, 1, 2, 4, 4, 1, 0, 2, 4, 2, 2, 2, 3, 2, 2, 1, 0, 1, 2, 1] pubkeycol485 = [4, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 4, 3, 4, 3, 0, 1, 2, 0, 3, 2, 3, 1, 0, 1, 2, 0, 3, 1, 4, 2, 2, 1, 4, 3, 3, 3, 3, 2, 2, 3, 1, 2, 0, 0, 2, 2, 3, 1, 3, 2, 1, 2, 0, 4, 1, 1, 0, 4, 4, 3, 3, 4, 0, 4, 0, 4, 4, 2, 2, 0, 3, 3, 4, 4, 3, 3, 1, 4, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 3, 1, 4, 0, 1, 2, 0, 3, 4, 1, 4, 0, 3, 4, 4, 3, 0, 2, 2, 0, 0, 3, 3, 0, 4, 0, 3, 4, 2, 0, 3, 4, 3, 0, 0, 1, 3, 3, 2, 0, 3, 1, 0, 1, 0, 2, 4, 4, 4, 2, 4, 2, 0, 3, 0, 2, 4, 4, 1, 3, 3, 4, 1, 4, 2, 2, 1, 0, 2, 1, 0, 0, 1, 3, 3, 0, 3, 0, 2, 2, 3, 2, 4, 3, 4, 2, 3, 3, 2, 1, 4, 0, 3, 3, 3, 0, 0, 0, 1, 1, 3, 0, 4, 1, 3, 4, 1, 3, 0, 4, 2, 0, 1, 3, 3, 3, 4, 4, 0, 3, 4, 1, 0, 0, 1, 0, 0, 2, 0, 0, 3, 0, 4, 4, 0, 4, 2, 2, 1, 2, 4, 1, 1, 3, 3, 2, 1, 4, 0, 0, 3, 0, 3, 4, 4, 2, 1, 0, 2, 4, 3, 3, 0, 1, 2, 2, 1, 3, 3, 0, 1, 0, 1, 3, 0, 1, 3, 1, 0, 2, 1, 1, 0, 3, 4, 1, 2, 2, 4, 4, 0, 3, 2, 1, 1, 2, 3, 2, 1, 4, 3, 3, 0, 1, 0, 2, 4, 2, 4, 4, 3, 2, 1, 2, 4, 2, 1, 4, 2, 3, 0, 0, 0, 2, 1, 0, 0, 3, 0, 0, 4, 3, 3, 4, 3, 3, 0, 4, 4, 1, 4, 3, 4, 1, 1, 2, 2, 4, 2, 1, 2, 0, 3, 4, 1, 2, 3, 4, 2, 2, 2, 0, 4, 0, 0, 2, 0, 0, 4, 4, 3, 3, 1, 0, 4, 2, 2, 4, 3, 2, 0, 3, 3, 4, 3, 1, 0, 2, 3, 4, 3, 3, 2, 3, 1, 4, 4, 1, 1, 0, 1, 4, 3, 3, 0, 1, 2, 0, 2, 1, 1, 0, 3, 2, 2, 4, 3, 4, 0, 0, 3, 2, 3, 3, 3, 1, 4, 0, 4, 1, 4, 4, 0, 4, 2, 4, 0, 4, 2, 0, 4, 2, 2, 4, 0, 1, 0, 0, 0, 3, 1, 1, 3, 2, 2, 2, 3, 1, 1, 3, 0, 2, 2, 3, 2, 1, 1, 4, 3, 4, 3, 3, 4, 1, 2, 3, 4, 1, 4, 2, 3, 2] pubkeycol486 = [2, 4, 3, 0, 0, 1, 2, 2, 1, 4, 1, 3, 1, 1, 4, 4, 4, 0, 2, 4, 4, 1, 2, 2, 0, 4, 3, 2, 2, 3, 3, 2, 0, 4, 0, 3, 4, 1, 2, 4, 1, 1, 1, 4, 0, 4, 2, 1, 2, 4, 0, 2, 1, 1, 2, 2, 2, 2, 0, 4, 0, 4, 1, 1, 4, 3, 2, 2, 0, 1, 3, 0, 1, 1, 3, 2, 0, 2, 2, 4, 3, 1, 4, 4, 3, 1, 4, 3, 2, 3, 3, 2, 0, 4, 3, 2, 1, 1, 2, 4, 3, 2, 1, 3, 1, 2, 0, 2, 4, 4, 0, 0, 0, 3, 2, 0, 4, 1, 1, 0, 4, 1, 2, 0, 1, 4, 3, 2, 2, 2, 0, 1, 4, 4, 0, 4, 2, 4, 4, 4, 2, 4, 2, 4, 0, 0, 1, 1, 3, 0, 4, 1, 0, 0, 0, 4, 4, 1, 0, 4, 2, 0, 2, 1, 4, 4, 3, 0, 4, 3, 2, 3, 0, 3, 3, 4, 2, 2, 4, 3, 2, 2, 1, 3, 2, 3, 0, 1, 3, 2, 1, 2, 3, 1, 2, 1, 2, 4, 3, 4, 1, 1, 2, 3, 1, 2, 3, 2, 0, 1, 2, 0, 4, 2, 4, 4, 4, 1, 4, 4, 2, 2, 1, 1, 4, 0, 0, 3, 0, 2, 2, 2, 3, 0, 3, 1, 1, 0, 4, 1, 4, 4, 2, 1, 0, 2, 0, 3, 1, 0, 3, 2, 0, 3, 0, 0, 3, 3, 2, 2, 2, 2, 4, 2, 1, 4, 0, 3, 0, 3, 3, 1, 3, 4, 0, 3, 0, 1, 2, 0, 3, 1, 2, 0, 3, 0, 1, 1, 2, 3, 1, 0, 3, 3, 4, 2, 4, 0, 3, 4, 1, 0, 4, 4, 1, 2, 4, 2, 0, 3, 2, 0, 1, 4, 2, 3, 0, 4, 4, 4, 1, 2, 4, 4, 3, 0, 2, 0, 4, 4, 2, 3, 1, 3, 1, 3, 1, 4, 4, 4, 0, 0, 2, 3, 2, 1, 4, 4, 4, 0, 0, 3, 3, 4, 4, 1, 4, 3, 0, 2, 2, 2, 2, 4, 2, 3, 4, 3, 4, 0, 4, 0, 0, 1, 0, 0, 1, 3, 0, 4, 3, 0, 4, 1, 1, 3, 3, 3, 3, 1, 1, 0, 2, 3, 4, 3, 0, 2, 2, 3, 0, 3, 1, 3, 3, 4, 0, 0, 4, 2, 3, 3, 4, 2, 3, 1, 0, 3, 0, 0, 1, 3, 0, 0, 1, 2, 1, 1, 3, 4, 1, 3, 0, 2, 3, 4, 2, 3, 4, 0, 1, 1, 1, 1, 3, 1, 4, 1, 1, 3, 2, 4, 1, 0, 3, 2, 4, 2, 4, 3, 3, 0, 0, 2, 3, 0, 1, 0, 0, 3, 4, 4, 0, 2, 4, 4, 0, 2, 3, 2] pubkeycol487 = [4, 4, 3, 4, 3, 2, 2, 0, 2, 2, 0, 1, 2, 4, 1, 3, 0, 3, 3, 0, 1, 2, 2, 3, 2, 1, 2, 3, 0, 3, 1, 0, 1, 3, 4, 2, 3, 0, 1, 0, 3, 4, 3, 1, 1, 4, 1, 1, 2, 4, 3, 4, 4, 1, 2, 3, 3, 2, 2, 0, 0, 4, 2, 0, 3, 0, 1, 1, 2, 1, 4, 4, 4, 1, 0, 1, 2, 4, 1, 1, 3, 3, 1, 1, 3, 3, 2, 0, 2, 0, 4, 0, 2, 0, 2, 4, 1, 2, 1, 4, 2, 1, 2, 0, 3, 2, 3, 0, 0, 1, 4, 4, 2, 4, 4, 2, 0, 3, 1, 2, 1, 3, 4, 3, 3, 3, 0, 3, 0, 3, 0, 0, 2, 0, 4, 4, 1, 0, 1, 0, 4, 3, 2, 3, 0, 0, 0, 2, 4, 0, 2, 1, 0, 4, 4, 0, 4, 2, 0, 1, 4, 4, 4, 1, 1, 4, 3, 4, 0, 0, 4, 1, 3, 1, 4, 1, 0, 2, 4, 2, 2, 1, 2, 1, 3, 2, 0, 1, 0, 4, 3, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 4, 1, 0, 1, 3, 2, 3, 0, 0, 2, 1, 1, 4, 4, 3, 2, 3, 1, 0, 3, 3, 4, 0, 4, 3, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 3, 3, 3, 4, 1, 2, 2, 4, 4, 3, 4, 4, 0, 1, 2, 0, 4, 2, 4, 2, 0, 0, 4, 4, 0, 0, 4, 3, 4, 0, 0, 3, 4, 4, 3, 3, 2, 3, 0, 3, 2, 3, 4, 2, 0, 4, 1, 0, 3, 1, 2, 1, 3, 0, 0, 2, 4, 1, 3, 2, 4, 2, 0, 3, 1, 1, 2, 3, 0, 3, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 4, 2, 0, 0, 2, 4, 1, 0, 4, 4, 1, 2, 1, 2, 4, 0, 3, 4, 1, 4, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 4, 3, 4, 4, 3, 0, 4, 4, 0, 3, 1, 2, 1, 3, 3, 4, 0, 4, 2, 2, 2, 0, 1, 1, 3, 1, 1, 1, 3, 2, 3, 2, 2, 0, 4, 0, 3, 4, 2, 0, 1, 3, 0, 0, 0, 2, 4, 4, 4, 1, 0, 1, 3, 1, 2, 0, 4, 2, 0, 2, 1, 3, 0, 4, 4, 3, 3, 3, 3, 1, 4, 1, 2, 3, 0, 4, 4, 2, 4, 1, 2, 1, 0, 0, 4, 2, 3, 4, 4, 0, 3, 0, 2, 3, 4, 0, 4, 4, 3, 1, 1, 4, 2, 2, 2, 1, 0, 1, 0, 4, 3, 0, 4, 1, 1, 3, 4, 3, 1, 3, 1, 0, 4, 0, 3, 0, 1, 4, 0, 4] pubkeycol488 = [1, 0, 1, 4, 3, 0, 3, 3, 3, 4, 0, 3, 2, 3, 3, 1, 2, 2, 4, 1, 1, 2, 0, 2, 3, 0, 4, 2, 3, 0, 0, 3, 2, 4, 4, 0, 2, 3, 2, 2, 0, 0, 4, 3, 2, 2, 2, 2, 0, 4, 3, 3, 3, 4, 3, 3, 3, 2, 0, 4, 4, 4, 3, 3, 0, 0, 1, 1, 0, 2, 1, 3, 1, 0, 0, 1, 1, 1, 0, 4, 2, 3, 2, 3, 4, 0, 1, 1, 3, 0, 0, 4, 0, 1, 3, 0, 1, 3, 0, 4, 1, 4, 1, 3, 4, 1, 3, 0, 1, 3, 0, 4, 2, 4, 4, 1, 4, 4, 4, 4, 0, 1, 1, 4, 2, 2, 0, 4, 4, 0, 4, 4, 4, 3, 2, 0, 3, 0, 3, 4, 1, 1, 0, 3, 1, 4, 4, 2, 0, 1, 3, 3, 3, 0, 4, 1, 2, 3, 2, 0, 2, 4, 3, 4, 2, 1, 3, 0, 2, 3, 0, 4, 3, 3, 4, 1, 2, 2, 3, 3, 3, 3, 2, 4, 3, 0, 2, 0, 1, 4, 2, 0, 0, 1, 1, 1, 2, 0, 3, 2, 0, 2, 2, 3, 0, 0, 2, 1, 0, 1, 0, 0, 3, 1, 2, 2, 0, 4, 0, 0, 4, 3, 1, 1, 3, 3, 2, 2, 0, 1, 0, 3, 3, 0, 4, 0, 1, 0, 1, 0, 4, 2, 0, 0, 4, 1, 0, 3, 0, 0, 3, 2, 3, 3, 3, 4, 0, 2, 3, 2, 0, 2, 4, 3, 4, 0, 1, 2, 4, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 3, 2, 0, 4, 1, 2, 4, 4, 3, 2, 2, 0, 1, 0, 3, 2, 1, 1, 3, 2, 1, 2, 1, 0, 0, 0, 4, 0, 1, 0, 0, 2, 4, 4, 1, 2, 0, 4, 3, 0, 4, 2, 1, 4, 3, 0, 4, 0, 2, 3, 2, 1, 0, 4, 0, 4, 2, 3, 0, 1, 0, 1, 3, 0, 4, 4, 1, 0, 3, 4, 2, 1, 3, 3, 0, 4, 4, 3, 2, 4, 2, 2, 2, 0, 2, 1, 4, 4, 2, 4, 2, 1, 1, 0, 3, 0, 4, 3, 3, 0, 2, 1, 2, 1, 1, 4, 1, 3, 3, 0, 4, 4, 2, 0, 2, 3, 2, 4, 3, 1, 4, 2, 3, 2, 4, 3, 3, 3, 4, 4, 2, 3, 4, 2, 2, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 2, 4, 2, 0, 2, 0, 4, 4, 3, 4, 2, 3, 2, 4, 4, 0, 4, 1, 1, 4, 1, 3, 0, 3, 0, 4, 1, 2, 1, 0, 2, 2, 4, 3, 2, 3, 4, 4, 0, 1, 1, 3, 3, 1, 1, 3, 0, 3, 0, 1, 0, 0, 1, 3, 2] pubkeycol489 = [3, 0, 2, 4, 0, 4, 3, 0, 3, 0, 1, 4, 4, 4, 3, 3, 4, 4, 0, 3, 2, 4, 3, 4, 0, 2, 2, 3, 0, 1, 2, 2, 0, 0, 0, 4, 4, 2, 0, 1, 2, 2, 3, 4, 3, 0, 4, 0, 2, 3, 2, 4, 3, 1, 3, 4, 0, 4, 1, 3, 2, 0, 3, 0, 0, 2, 1, 4, 2, 0, 3, 4, 4, 4, 3, 4, 1, 3, 1, 2, 2, 3, 3, 1, 1, 2, 0, 4, 1, 2, 2, 4, 4, 0, 2, 1, 1, 4, 0, 2, 2, 0, 0, 4, 3, 1, 2, 4, 4, 3, 3, 4, 2, 1, 3, 3, 0, 2, 2, 2, 4, 3, 3, 2, 3, 4, 4, 0, 4, 1, 4, 3, 2, 4, 1, 0, 1, 3, 4, 1, 1, 0, 1, 4, 3, 1, 0, 3, 2, 0, 1, 0, 1, 1, 1, 3, 4, 2, 0, 3, 4, 2, 3, 3, 3, 0, 4, 4, 2, 0, 3, 4, 0, 2, 3, 2, 3, 4, 0, 1, 2, 3, 1, 4, 2, 1, 3, 2, 0, 3, 1, 2, 0, 0, 1, 2, 4, 0, 0, 0, 4, 3, 1, 4, 4, 1, 1, 4, 2, 3, 2, 1, 4, 0, 0, 2, 2, 2, 0, 1, 4, 1, 4, 2, 0, 4, 4, 3, 2, 4, 4, 1, 2, 4, 3, 2, 0, 2, 0, 0, 4, 0, 3, 1, 3, 2, 1, 1, 4, 3, 4, 4, 2, 0, 0, 3, 3, 2, 3, 2, 2, 1, 3, 3, 4, 0, 1, 1, 0, 4, 4, 4, 3, 3, 3, 3, 0, 0, 4, 3, 2, 0, 0, 0, 1, 4, 2, 3, 0, 1, 2, 1, 3, 0, 1, 2, 4, 4, 3, 0, 4, 1, 0, 0, 4, 3, 0, 0, 1, 3, 2, 2, 4, 2, 2, 2, 4, 3, 1, 4, 4, 4, 1, 1, 3, 3, 1, 3, 0, 0, 2, 1, 2, 4, 1, 2, 0, 0, 1, 0, 4, 0, 3, 0, 4, 4, 1, 3, 1, 1, 1, 4, 2, 0, 1, 4, 3, 4, 0, 3, 2, 2, 1, 1, 3, 4, 2, 4, 3, 4, 4, 3, 3, 2, 4, 0, 1, 1, 2, 2, 1, 3, 2, 3, 0, 1, 1, 1, 4, 0, 3, 2, 3, 1, 1, 4, 3, 1, 2, 4, 2, 2, 4, 4, 2, 2, 2, 0, 2, 1, 0, 0, 4, 1, 1, 1, 3, 4, 1, 1, 1, 2, 2, 2, 3, 0, 1, 3, 4, 1, 3, 1, 3, 1, 0, 2, 1, 1, 0, 3, 2, 1, 4, 4, 0, 3, 1, 3, 2, 1, 0, 1, 3, 3, 0, 3, 1, 1, 3, 3, 4, 1, 4, 3, 3, 4, 0, 3, 4, 2, 3, 0, 3, 3, 1, 3, 3, 1, 4, 1] pubkeycol490 = [2, 0, 2, 4, 1, 1, 3, 4, 3, 4, 4, 3, 0, 1, 1, 0, 3, 3, 0, 3, 4, 3, 0, 0, 0, 0, 0, 3, 0, 2, 1, 0, 3, 1, 1, 2, 2, 2, 0, 0, 2, 1, 3, 3, 2, 4, 4, 0, 3, 1, 0, 1, 3, 3, 0, 2, 3, 1, 1, 0, 1, 3, 4, 3, 0, 2, 2, 1, 1, 2, 0, 4, 2, 4, 0, 2, 3, 3, 2, 0, 4, 4, 2, 3, 2, 3, 2, 3, 0, 3, 3, 4, 4, 4, 0, 3, 0, 2, 3, 1, 0, 0, 0, 2, 0, 2, 3, 1, 3, 4, 4, 3, 3, 1, 0, 4, 4, 4, 3, 1, 2, 4, 3, 3, 3, 0, 2, 4, 1, 4, 4, 3, 4, 4, 4, 2, 2, 1, 2, 1, 4, 1, 4, 1, 2, 1, 2, 2, 0, 0, 4, 0, 3, 1, 4, 3, 3, 2, 0, 0, 1, 1, 0, 3, 0, 4, 3, 3, 4, 4, 1, 3, 3, 2, 0, 4, 1, 3, 4, 1, 4, 1, 3, 1, 1, 4, 0, 4, 1, 3, 2, 4, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 2, 0, 4, 1, 1, 4, 2, 4, 2, 0, 4, 1, 2, 3, 4, 0, 2, 1, 3, 2, 3, 2, 1, 3, 1, 2, 1, 2, 1, 1, 4, 0, 1, 2, 0, 4, 1, 0, 3, 1, 1, 0, 2, 3, 0, 3, 3, 0, 2, 4, 1, 0, 0, 1, 1, 3, 3, 1, 0, 1, 3, 4, 4, 0, 2, 2, 1, 4, 3, 4, 2, 1, 4, 4, 3, 4, 4, 4, 1, 1, 4, 0, 4, 2, 2, 1, 3, 3, 0, 0, 2, 3, 3, 4, 4, 2, 3, 3, 4, 2, 3, 1, 2, 1, 0, 1, 4, 2, 3, 1, 4, 0, 2, 0, 4, 3, 0, 2, 1, 2, 3, 3, 1, 2, 4, 1, 1, 3, 4, 2, 0, 0, 1, 4, 0, 3, 4, 2, 0, 4, 3, 1, 2, 3, 3, 4, 2, 3, 3, 1, 2, 2, 0, 1, 1, 0, 4, 2, 0, 4, 1, 3, 0, 3, 1, 4, 1, 0, 2, 0, 0, 0, 3, 4, 4, 2, 4, 4, 2, 0, 0, 4, 1, 4, 1, 2, 2, 2, 3, 3, 3, 3, 0, 4, 1, 3, 2, 4, 3, 4, 4, 1, 0, 4, 4, 3, 4, 0, 3, 2, 2, 4, 1, 0, 2, 4, 0, 4, 3, 2, 1, 2, 3, 1, 4, 0, 3, 0, 3, 3, 3, 2, 0, 3, 1, 0, 0, 0, 0, 1, 1, 3, 1, 3, 1, 4, 3, 3, 2, 3, 1, 3, 4, 0, 1, 4, 0, 3, 2, 1, 2, 4, 1, 0, 2, 3, 3, 2, 3, 4, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol491 = [0, 1, 0, 3, 4, 1, 4, 3, 4, 0, 2, 2, 4, 0, 4, 4, 1, 2, 2, 2, 2, 4, 0, 2, 3, 3, 2, 4, 1, 2, 4, 3, 2, 4, 0, 3, 0, 1, 0, 2, 2, 1, 1, 0, 3, 0, 0, 3, 2, 2, 2, 0, 3, 3, 4, 3, 2, 1, 2, 3, 2, 4, 3, 2, 0, 0, 0, 0, 1, 2, 4, 0, 0, 1, 3, 2, 3, 1, 0, 1, 1, 2, 3, 3, 1, 0, 1, 1, 3, 1, 3, 0, 0, 0, 2, 3, 2, 2, 0, 0, 0, 1, 3, 0, 0, 1, 1, 3, 4, 1, 4, 2, 4, 4, 0, 1, 0, 2, 4, 2, 0, 3, 1, 0, 2, 0, 0, 0, 4, 3, 1, 0, 3, 4, 0, 4, 0, 4, 1, 1, 0, 2, 2, 0, 2, 3, 3, 1, 2, 2, 4, 2, 1, 3, 3, 0, 4, 4, 4, 4, 1, 0, 2, 3, 1, 4, 3, 0, 2, 3, 2, 0, 3, 3, 4, 3, 3, 1, 4, 2, 0, 0, 3, 3, 2, 0, 2, 4, 3, 4, 3, 1, 1, 3, 2, 4, 2, 2, 0, 2, 1, 2, 0, 1, 3, 1, 3, 3, 3, 4, 4, 3, 2, 3, 4, 0, 0, 0, 2, 1, 4, 4, 3, 2, 1, 1, 1, 3, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 3, 0, 3, 1, 4, 3, 0, 0, 4, 4, 0, 3, 3, 3, 4, 2, 0, 3, 3, 3, 2, 0, 1, 0, 2, 4, 3, 2, 0, 4, 2, 1, 3, 2, 2, 3, 2, 2, 0, 4, 1, 2, 4, 2, 0, 1, 0, 0, 4, 0, 2, 2, 2, 2, 2, 3, 1, 1, 0, 0, 1, 4, 4, 3, 0, 2, 4, 1, 4, 2, 0, 1, 3, 1, 0, 1, 1, 2, 1, 4, 4, 3, 0, 2, 2, 3, 3, 0, 3, 4, 1, 0, 2, 1, 4, 4, 4, 0, 4, 2, 3, 2, 1, 4, 3, 2, 1, 1, 0, 4, 2, 4, 4, 1, 3, 1, 3, 4, 4, 0, 0, 2, 1, 2, 2, 0, 4, 2, 3, 3, 0, 1, 0, 4, 3, 3, 3, 4, 2, 4, 3, 4, 0, 0, 0, 1, 1, 0, 0, 0, 2, 4, 2, 0, 2, 2, 3, 4, 2, 1, 3, 4, 2, 2, 1, 3, 1, 0, 3, 3, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 0, 3, 3, 3, 3, 4, 4, 0, 1, 2, 3, 2, 0, 4, 0, 3, 0, 0, 2, 0, 1, 3, 4, 0, 2, 4, 0, 4, 4, 2, 4, 3, 4, 2, 0, 1, 0, 2, 2, 0, 0, 3, 2, 2, 4, 1, 1, 4, 0, 3, 3, 1, 0, 3, 3, 2, 0, 4, 1, 4, 2, 4] pubkeycol492 = [0, 3, 1, 3, 2, 1, 0, 2, 0, 3, 1, 3, 3, 3, 0, 4, 4, 3, 0, 1, 4, 2, 2, 2, 0, 4, 0, 0, 2, 4, 1, 2, 3, 4, 2, 0, 4, 3, 3, 4, 2, 2, 0, 1, 0, 2, 0, 0, 3, 3, 2, 4, 0, 2, 0, 3, 3, 2, 1, 1, 1, 3, 3, 0, 0, 3, 2, 1, 4, 0, 3, 2, 3, 0, 1, 4, 1, 1, 0, 1, 2, 3, 0, 2, 4, 4, 1, 2, 0, 0, 3, 4, 1, 3, 1, 3, 0, 0, 2, 0, 4, 1, 1, 1, 1, 1, 1, 2, 0, 4, 1, 3, 2, 4, 3, 0, 2, 1, 3, 3, 0, 2, 2, 2, 0, 3, 1, 1, 2, 0, 4, 0, 3, 2, 1, 4, 3, 2, 0, 3, 2, 4, 2, 1, 1, 1, 1, 2, 2, 1, 0, 3, 0, 0, 4, 2, 2, 3, 3, 1, 4, 2, 2, 0, 3, 1, 2, 4, 2, 4, 4, 0, 2, 4, 2, 0, 1, 3, 2, 1, 1, 3, 4, 2, 2, 0, 4, 3, 3, 2, 1, 0, 1, 1, 4, 3, 3, 2, 3, 3, 1, 2, 1, 2, 0, 2, 3, 2, 3, 3, 3, 3, 0, 3, 3, 1, 2, 1, 1, 1, 3, 1, 2, 3, 2, 0, 3, 3, 1, 0, 1, 3, 3, 3, 4, 1, 0, 1, 0, 1, 3, 4, 2, 2, 0, 1, 1, 0, 3, 4, 0, 2, 3, 3, 4, 4, 3, 4, 0, 3, 0, 2, 2, 4, 0, 1, 2, 2, 2, 0, 3, 1, 3, 4, 3, 2, 4, 0, 2, 0, 4, 3, 3, 0, 4, 3, 0, 1, 1, 3, 0, 3, 0, 4, 0, 3, 0, 4, 3, 3, 0, 1, 3, 1, 3, 4, 0, 2, 1, 3, 4, 1, 0, 4, 3, 1, 4, 3, 1, 2, 0, 3, 0, 0, 2, 0, 3, 4, 1, 3, 1, 3, 2, 4, 2, 3, 1, 0, 2, 1, 3, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 3, 2, 4, 1, 1, 3, 0, 1, 1, 4, 4, 1, 2, 2, 0, 1, 2, 0, 3, 1, 0, 0, 2, 0, 2, 2, 1, 2, 4, 2, 0, 4, 3, 0, 1, 0, 0, 3, 2, 2, 2, 1, 2, 1, 3, 3, 0, 4, 2, 0, 1, 1, 2, 3, 2, 4, 1, 4, 3, 4, 2, 2, 3, 3, 4, 2, 3, 3, 2, 1, 4, 4, 1, 1, 2, 1, 1, 4, 1, 2, 1, 1, 4, 3, 0, 1, 1, 2, 2, 1, 1, 1, 1, 3, 4, 2, 2, 2, 4, 4, 2, 3, 0, 4, 2, 2, 0, 2, 0, 3, 0, 2, 1, 4, 2, 4, 1, 0, 2, 0, 1, 4, 2, 3, 0, 2] pubkeycol493 = [0, 4, 3, 3, 0, 4, 3, 3, 1, 4, 3, 1, 2, 3, 3, 2, 4, 3, 0, 0, 0, 3, 1, 1, 2, 3, 4, 1, 0, 1, 2, 2, 0, 2, 4, 1, 4, 3, 1, 2, 1, 4, 0, 0, 1, 3, 3, 4, 0, 3, 3, 4, 4, 3, 2, 2, 4, 1, 3, 0, 0, 4, 0, 2, 0, 1, 2, 3, 1, 0, 3, 2, 2, 1, 3, 1, 3, 0, 4, 1, 2, 4, 0, 0, 2, 3, 0, 0, 1, 0, 1, 4, 4, 2, 1, 2, 1, 0, 2, 2, 3, 0, 4, 4, 2, 2, 2, 2, 4, 4, 3, 0, 0, 2, 3, 0, 1, 4, 1, 1, 1, 3, 4, 1, 1, 0, 3, 0, 0, 4, 3, 1, 3, 1, 2, 4, 4, 0, 0, 3, 0, 0, 3, 3, 1, 4, 3, 3, 1, 4, 1, 0, 4, 0, 2, 1, 2, 3, 4, 2, 2, 1, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 1, 3, 0, 2, 1, 1, 0, 1, 4, 2, 3, 1, 1, 2, 3, 0, 4, 2, 0, 4, 4, 0, 2, 3, 4, 1, 3, 2, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 1, 0, 2, 1, 3, 0, 3, 1, 3, 3, 4, 4, 4, 3, 2, 1, 0, 0, 2, 4, 1, 1, 3, 0, 4, 3, 0, 4, 0, 2, 1, 0, 0, 1, 4, 2, 1, 3, 0, 2, 4, 4, 1, 1, 2, 0, 2, 0, 0, 0, 3, 4, 4, 3, 0, 1, 3, 0, 4, 1, 0, 2, 2, 4, 1, 3, 3, 0, 4, 1, 3, 0, 0, 4, 1, 4, 2, 3, 4, 4, 2, 4, 3, 2, 2, 0, 1, 4, 2, 1, 1, 3, 1, 1, 2, 3, 2, 2, 0, 2, 1, 4, 4, 4, 4, 0, 4, 3, 4, 2, 4, 0, 0, 3, 2, 4, 2, 0, 2, 4, 3, 2, 4, 3, 4, 1, 0, 0, 1, 2, 2, 1, 3, 0, 2, 4, 2, 3, 3, 2, 2, 0, 4, 3, 0, 1, 1, 1, 2, 3, 4, 1, 2, 0, 4, 4, 0, 0, 3, 0, 4, 0, 0, 2, 2, 3, 1, 0, 4, 4, 2, 0, 1, 3, 4, 3, 3, 4, 4, 1, 2, 4, 2, 4, 2, 1, 3, 0, 3, 0, 4, 4, 0, 1, 3, 3, 3, 1, 0, 1, 0, 0, 1, 2, 1, 4, 1, 1, 3, 4, 0, 3, 0, 3, 3, 3, 4, 4, 2, 4, 0, 0, 3, 1, 4, 1, 0, 3, 2, 3, 1, 1, 1, 1, 1, 3, 3, 1, 3, 4, 4, 0, 2, 0, 4, 0, 1, 0, 1, 1, 3, 1, 0, 2, 4, 4, 3, 4, 0, 2, 3, 0, 1, 1, 0, 1] pubkeycol494 = [4, 1, 4, 0, 1, 2, 1, 1, 3, 0, 0, 4, 0, 4, 3, 2, 3, 3, 4, 2, 2, 4, 4, 0, 3, 1, 1, 4, 3, 4, 1, 1, 1, 0, 1, 4, 1, 2, 2, 0, 1, 3, 4, 3, 4, 0, 4, 0, 0, 3, 0, 0, 0, 2, 1, 3, 2, 0, 0, 0, 1, 1, 4, 0, 3, 0, 3, 1, 1, 3, 4, 0, 2, 1, 0, 0, 0, 2, 0, 3, 2, 4, 0, 2, 1, 4, 2, 4, 0, 2, 1, 3, 1, 1, 4, 4, 1, 3, 1, 4, 0, 0, 1, 0, 4, 0, 0, 1, 2, 1, 2, 4, 1, 2, 0, 1, 3, 0, 0, 3, 2, 1, 0, 0, 4, 0, 4, 3, 3, 2, 1, 0, 2, 4, 0, 0, 3, 0, 3, 3, 4, 1, 2, 4, 0, 2, 2, 1, 2, 4, 0, 3, 4, 3, 2, 0, 1, 0, 3, 0, 1, 1, 1, 3, 1, 1, 2, 3, 4, 3, 0, 0, 2, 3, 4, 4, 1, 3, 4, 3, 0, 2, 0, 0, 3, 2, 2, 0, 0, 1, 3, 4, 2, 4, 4, 3, 3, 1, 1, 3, 2, 3, 0, 4, 1, 4, 1, 3, 3, 1, 1, 2, 4, 3, 4, 1, 2, 2, 0, 2, 2, 0, 2, 3, 2, 3, 2, 1, 3, 0, 1, 4, 0, 3, 3, 0, 1, 2, 3, 4, 3, 2, 4, 2, 4, 1, 3, 4, 0, 0, 1, 4, 1, 0, 0, 0, 2, 2, 3, 4, 0, 2, 0, 4, 2, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 0, 4, 4, 0, 1, 2, 0, 4, 0, 2, 2, 3, 0, 1, 0, 0, 0, 4, 3, 1, 3, 3, 1, 1, 4, 2, 3, 2, 1, 0, 1, 4, 4, 0, 0, 0, 3, 4, 0, 4, 1, 3, 2, 1, 2, 4, 1, 0, 3, 4, 3, 3, 3, 1, 3, 3, 1, 2, 3, 4, 3, 1, 0, 1, 4, 1, 4, 0, 1, 3, 2, 2, 2, 4, 3, 3, 0, 3, 0, 2, 2, 3, 0, 2, 2, 3, 4, 0, 1, 0, 3, 4, 2, 2, 3, 4, 4, 3, 1, 0, 3, 2, 3, 2, 2, 0, 1, 1, 2, 0, 0, 3, 1, 1, 1, 2, 2, 0, 4, 4, 2, 2, 1, 3, 3, 2, 4, 3, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 4, 4, 0, 4, 3, 3, 0, 4, 2, 4, 1, 2, 4, 3, 0, 2, 0, 2, 2, 4, 0, 1, 3, 0, 3, 4, 2, 3, 4, 2, 4, 1, 4, 1, 0, 3, 2, 1, 3, 0, 1, 2, 4, 2, 4, 1, 4, 4, 4, 2, 0, 4, 2, 4, 0, 1, 3, 4, 3, 0, 2, 1, 0, 4, 3] pubkeycol495 = [4, 1, 2, 0, 3, 3, 0, 3, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 3, 4, 4, 1, 1, 0, 0, 2, 1, 3, 1, 2, 2, 1, 3, 4, 1, 2, 3, 3, 0, 3, 0, 1, 4, 2, 0, 3, 3, 2, 0, 4, 0, 0, 2, 1, 2, 0, 3, 3, 3, 0, 0, 0, 4, 0, 0, 2, 0, 0, 3, 2, 0, 2, 2, 2, 4, 1, 2, 1, 3, 4, 1, 0, 0, 2, 4, 3, 1, 0, 4, 0, 2, 4, 2, 1, 0, 1, 0, 4, 4, 2, 4, 0, 0, 1, 2, 2, 2, 0, 2, 1, 4, 1, 3, 4, 3, 3, 2, 4, 0, 1, 0, 3, 0, 4, 0, 3, 4, 1, 1, 4, 4, 1, 0, 4, 3, 0, 0, 0, 2, 4, 3, 2, 3, 4, 1, 4, 4, 2, 4, 3, 0, 1, 1, 3, 4, 0, 3, 4, 1, 0, 2, 2, 2, 2, 2, 2, 3, 0, 3, 3, 3, 2, 3, 0, 3, 3, 0, 2, 3, 1, 1, 2, 2, 1, 4, 3, 1, 3, 2, 3, 4, 4, 2, 1, 4, 3, 3, 2, 1, 0, 1, 4, 1, 4, 4, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 3, 3, 4, 4, 2, 1, 2, 4, 1, 2, 3, 1, 3, 1, 2, 1, 4, 3, 0, 0, 4, 3, 1, 2, 1, 3, 3, 1, 2, 2, 0, 3, 2, 0, 2, 4, 0, 2, 0, 0, 1, 2, 4, 2, 4, 3, 0, 0, 3, 4, 0, 4, 1, 4, 0, 1, 4, 2, 2, 4, 1, 3, 2, 1, 4, 4, 3, 2, 3, 3, 1, 4, 2, 4, 0, 2, 3, 0, 0, 4, 0, 3, 4, 3, 4, 0, 4, 0, 2, 1, 4, 1, 4, 3, 3, 2, 0, 1, 4, 4, 0, 1, 4, 3, 2, 1, 3, 1, 2, 0, 3, 2, 1, 1, 2, 0, 0, 2, 3, 3, 3, 4, 2, 4, 0, 2, 0, 1, 2, 4, 2, 3, 1, 0, 3, 3, 2, 4, 1, 3, 3, 4, 2, 0, 0, 1, 3, 0, 4, 4, 1, 1, 0, 1, 4, 0, 0, 0, 3, 0, 2, 1, 0, 0, 4, 4, 4, 0, 2, 3, 4, 1, 0, 2, 0, 3, 2, 4, 0, 0, 0, 1, 4, 2, 2, 1, 0, 3, 4, 0, 2, 3, 3, 1, 1, 3, 0, 3, 0, 4, 4, 4, 1, 1, 2, 0, 2, 3, 2, 0, 3, 3, 0, 4, 1, 1, 0, 0, 4, 4, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 3, 2, 0, 0, 2, 2, 1, 0, 3, 1, 4, 0, 3, 4, 2, 3, 3, 3, 3, 2, 1, 4, 3, 2, 3, 0, 4] pubkeycol496 = [4, 2, 3, 0, 3, 1, 3, 3, 2, 0, 2, 0, 0, 1, 2, 2, 4, 0, 3, 0, 0, 1, 1, 1, 2, 0, 3, 2, 4, 1, 3, 1, 2, 1, 4, 1, 0, 2, 4, 0, 0, 2, 1, 0, 3, 4, 2, 2, 4, 2, 1, 1, 2, 0, 0, 3, 3, 4, 3, 4, 1, 0, 2, 1, 3, 3, 2, 3, 3, 2, 4, 4, 0, 2, 3, 4, 0, 3, 0, 3, 2, 4, 0, 1, 1, 2, 2, 3, 0, 0, 4, 1, 0, 1, 1, 0, 4, 3, 4, 4, 2, 0, 0, 4, 4, 1, 2, 4, 3, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 3, 3, 0, 4, 1, 0, 0, 0, 2, 4, 0, 0, 2, 1, 2, 3, 3, 0, 0, 2, 4, 0, 0, 0, 3, 0, 0, 0, 2, 3, 2, 2, 4, 3, 2, 4, 0, 1, 0, 4, 3, 1, 1, 0, 1, 4, 4, 2, 0, 4, 3, 0, 0, 2, 3, 0, 3, 2, 2, 0, 3, 3, 1, 3, 3, 2, 4, 3, 1, 2, 2, 3, 2, 1, 1, 4, 1, 2, 2, 0, 0, 1, 4, 2, 3, 3, 2, 0, 3, 2, 1, 2, 1, 2, 4, 3, 3, 4, 1, 2, 2, 0, 1, 1, 2, 2, 4, 2, 4, 0, 3, 3, 3, 3, 4, 0, 0, 4, 1, 4, 3, 2, 1, 4, 1, 3, 2, 4, 1, 4, 4, 0, 1, 1, 0, 4, 0, 3, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 4, 0, 3, 3, 4, 3, 1, 4, 4, 0, 1, 0, 0, 0, 3, 2, 4, 0, 3, 4, 3, 3, 1, 3, 0, 3, 1, 0, 3, 0, 4, 3, 0, 0, 4, 1, 3, 3, 1, 3, 0, 1, 4, 2, 3, 4, 4, 2, 1, 3, 3, 3, 1, 0, 4, 1, 1, 2, 1, 0, 0, 1, 3, 4, 3, 3, 4, 0, 4, 3, 2, 0, 3, 4, 2, 3, 0, 0, 2, 3, 3, 4, 4, 4, 2, 2, 4, 1, 2, 2, 0, 3, 4, 3, 1, 0, 1, 1, 4, 0, 2, 0, 3, 0, 1, 1, 2, 3, 3, 0, 4, 2, 4, 0, 2, 2, 0, 3, 3, 1, 3, 1, 2, 2, 1, 2, 4, 4, 4, 0, 0, 3, 0, 4, 0, 3, 1, 2, 1, 1, 0, 0, 2, 1, 4, 2, 4, 2, 1, 3, 4, 3, 3, 2, 3, 3, 1, 0, 2, 2, 2, 1, 3, 0, 2, 0, 4, 3, 2, 0, 3, 4, 4, 3, 3, 1, 1, 1, 2, 4, 4, 0, 4, 2, 3, 4, 4, 4, 0, 4, 0, 3, 3, 1, 1, 0, 0, 2, 1, 0, 1, 4, 0, 1, 2, 3, 2, 2, 0, 0, 4, 1] pubkeycol497 = [4, 2, 4, 0, 1, 3, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 2, 3, 4, 3, 0, 1, 3, 0, 0, 4, 2, 0, 3, 3, 1, 4, 4, 1, 2, 0, 3, 3, 1, 0, 4, 3, 4, 4, 1, 0, 1, 3, 0, 4, 2, 2, 2, 0, 4, 1, 3, 0, 1, 3, 0, 2, 0, 0, 3, 4, 1, 0, 0, 3, 0, 0, 4, 1, 4, 2, 0, 0, 0, 3, 4, 2, 1, 0, 4, 2, 4, 0, 4, 4, 3, 3, 1, 4, 3, 4, 2, 3, 3, 2, 4, 3, 0, 1, 4, 2, 3, 1, 4, 4, 1, 3, 1, 2, 4, 3, 3, 3, 1, 3, 3, 1, 4, 4, 3, 3, 0, 0, 2, 1, 2, 3, 1, 4, 4, 1, 2, 4, 2, 3, 4, 3, 3, 0, 3, 1, 1, 4, 4, 4, 2, 2, 2, 4, 4, 2, 2, 3, 3, 4, 2, 3, 4, 3, 0, 1, 0, 3, 2, 1, 0, 4, 1, 4, 3, 2, 2, 0, 0, 0, 4, 1, 4, 1, 2, 2, 2, 1, 1, 1, 4, 0, 3, 1, 2, 2, 3, 4, 3, 4, 2, 4, 3, 1, 4, 3, 3, 3, 1, 4, 3, 1, 4, 0, 4, 4, 4, 1, 2, 3, 1, 4, 2, 0, 3, 4, 2, 4, 4, 0, 3, 1, 0, 4, 3, 2, 0, 2, 0, 4, 1, 3, 0, 4, 2, 3, 1, 1, 4, 3, 3, 3, 4, 2, 4, 1, 0, 4, 0, 3, 1, 1, 3, 0, 0, 1, 3, 4, 2, 4, 2, 2, 1, 1, 3, 2, 3, 4, 3, 4, 4, 0, 4, 2, 1, 2, 2, 0, 2, 4, 4, 4, 3, 4, 0, 0, 2, 1, 3, 1, 1, 2, 2, 3, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 3, 4, 0, 1, 4, 1, 3, 3, 1, 0, 3, 1, 2, 2, 0, 0, 1, 2, 3, 1, 0, 2, 2, 0, 4, 4, 1, 0, 2, 3, 0, 3, 0, 4, 0, 4, 4, 2, 0, 4, 2, 4, 0, 0, 2, 0, 3, 2, 2, 0, 4, 1, 4, 0, 0, 1, 0, 4, 2, 2, 4, 0, 1, 4, 0, 4, 4, 3, 3, 3, 3, 3, 0, 4, 2, 3, 1, 0, 3, 2, 4, 4, 2, 4, 4, 4, 2, 4, 2, 3, 1, 2, 3, 3, 2, 1, 2, 4, 4, 1, 1, 3, 4, 0, 2, 4, 4, 1, 1, 2, 1, 1, 4, 0, 1, 4, 2, 3, 3, 2, 2, 3, 3, 2, 3, 2, 1, 1, 2, 4, 0, 2, 1, 3, 4, 0, 1, 1, 1, 1, 3, 4, 0, 1, 4, 0, 2, 4, 1, 0, 4, 2, 1, 2, 1] pubkeycol498 = [1, 2, 2, 4, 1, 3, 3, 3, 4, 2, 2, 0, 3, 1, 3, 2, 4, 3, 3, 2, 2, 2, 0, 0, 2, 2, 2, 4, 1, 0, 1, 4, 0, 1, 2, 1, 4, 3, 1, 2, 0, 2, 3, 1, 3, 2, 0, 3, 0, 3, 2, 0, 4, 1, 3, 4, 4, 0, 0, 0, 4, 0, 3, 0, 4, 1, 1, 0, 1, 3, 1, 4, 2, 2, 4, 4, 2, 1, 0, 1, 3, 0, 2, 1, 3, 1, 0, 1, 0, 4, 1, 3, 2, 0, 4, 1, 3, 0, 4, 1, 3, 2, 4, 2, 0, 2, 3, 0, 0, 1, 0, 2, 1, 3, 4, 2, 3, 3, 2, 3, 4, 2, 4, 3, 0, 1, 0, 0, 1, 3, 2, 3, 2, 0, 2, 2, 2, 1, 0, 2, 3, 0, 3, 1, 3, 4, 0, 1, 4, 1, 4, 1, 2, 1, 0, 0, 4, 2, 2, 2, 1, 3, 3, 2, 3, 1, 1, 4, 2, 0, 1, 2, 1, 3, 1, 4, 0, 4, 4, 0, 0, 2, 2, 3, 1, 0, 0, 4, 4, 3, 3, 3, 2, 1, 4, 1, 1, 4, 0, 3, 0, 0, 3, 1, 2, 3, 3, 3, 0, 2, 1, 0, 4, 4, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 3, 3, 2, 3, 0, 3, 0, 0, 1, 1, 4, 1, 4, 0, 3, 0, 0, 1, 2, 4, 4, 1, 0, 3, 2, 1, 4, 1, 1, 4, 2, 4, 1, 1, 4, 4, 1, 3, 1, 0, 1, 0, 0, 3, 1, 3, 2, 2, 4, 2, 3, 0, 1, 3, 0, 4, 2, 3, 2, 0, 3, 0, 4, 1, 1, 0, 0, 1, 4, 2, 4, 4, 3, 3, 3, 1, 0, 2, 3, 4, 1, 0, 3, 1, 3, 2, 2, 2, 0, 2, 3, 4, 1, 1, 0, 2, 2, 1, 4, 3, 1, 1, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 0, 2, 3, 4, 2, 0, 2, 0, 0, 4, 1, 4, 4, 4, 3, 3, 3, 2, 4, 3, 3, 2, 1, 4, 4, 1, 1, 2, 3, 0, 2, 2, 1, 0, 4, 4, 1, 4, 1, 4, 4, 3, 2, 0, 1, 1, 1, 3, 0, 4, 3, 1, 1, 3, 3, 1, 1, 2, 1, 1, 4, 1, 3, 1, 2, 4, 2, 1, 2, 4, 2, 4, 1, 2, 4, 1, 1, 1, 0, 2, 2, 2, 3, 3, 4, 2, 2, 1, 2, 1, 3, 1, 3, 3, 0, 1, 3, 0, 1, 3, 0, 2, 0, 3, 0, 3, 4, 1, 0, 4, 2, 4, 0, 2, 3, 2, 1, 2, 1, 1, 2, 2, 3, 2, 0, 0, 2, 3, 2, 0, 0, 3, 2, 4, 4, 0, 1, 1, 0, 3, 2, 4, 1] pubkeycol499 = [0, 4, 0, 2, 0, 2, 0, 1, 4, 2, 1, 3, 0, 3, 0, 1, 0, 0, 4, 0, 0, 4, 1, 4, 3, 3, 2, 2, 0, 1, 2, 3, 3, 1, 0, 4, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 4, 2, 2, 4, 3, 3, 1, 4, 0, 2, 2, 1, 3, 0, 0, 1, 1, 3, 2, 0, 1, 4, 4, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 3, 2, 0, 1, 0, 0, 4, 2, 1, 1, 4, 0, 0, 1, 1, 2, 4, 3, 4, 0, 4, 2, 2, 1, 1, 0, 1, 4, 3, 3, 2, 2, 3, 2, 3, 1, 1, 4, 3, 0, 4, 0, 3, 0, 2, 0, 3, 0, 4, 4, 0, 3, 0, 1, 3, 0, 3, 4, 2, 1, 4, 0, 3, 2, 4, 2, 0, 3, 2, 1, 4, 4, 0, 1, 4, 1, 4, 4, 4, 3, 3, 0, 1, 2, 4, 1, 0, 2, 4, 0, 0, 2, 4, 0, 4, 2, 2, 1, 2, 2, 4, 3, 4, 0, 3, 4, 3, 1, 0, 3, 2, 2, 4, 3, 4, 1, 2, 1, 4, 0, 1, 4, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 0, 0, 0, 2, 0, 4, 0, 2, 0, 1, 3, 2, 0, 3, 1, 4, 1, 2, 4, 1, 2, 2, 1, 3, 2, 1, 4, 4, 3, 4, 0, 3, 1, 1, 4, 1, 2, 4, 1, 0, 0, 3, 1, 1, 2, 3, 4, 2, 1, 3, 0, 0, 4, 4, 1, 0, 3, 3, 3, 2, 4, 4, 1, 3, 4, 2, 3, 4, 2, 3, 3, 3, 3, 2, 2, 2, 0, 1, 3, 3, 3, 1, 4, 4, 4, 3, 3, 0, 2, 4, 3, 3, 2, 3, 1, 0, 0, 3, 4, 2, 3, 1, 0, 2, 4, 1, 3, 3, 2, 3, 1, 3, 0, 2, 2, 0, 0, 4, 4, 4, 3, 2, 0, 0, 4, 0, 4, 1, 4, 4, 2, 3, 4, 1, 0, 4, 3, 2, 0, 0, 2, 2, 1, 0, 0, 2, 4, 3, 2, 0, 2, 4, 1, 0, 0, 1, 0, 4, 4, 2, 0, 2, 0, 2, 1, 2, 2, 0, 4, 4, 4, 2, 4, 4, 2, 1, 1, 0, 2, 0, 3, 1, 1, 2, 3, 3, 2, 1, 4, 4, 2, 1, 1, 0, 1, 2, 2, 2, 1, 4, 2, 4, 4, 1, 1, 2, 2, 0, 0, 1, 2, 1, 4, 0, 3, 4, 4, 0, 1, 0, 4, 3, 2, 1, 1, 3, 3, 4, 0, 2, 2, 0, 1, 2, 2, 1, 3, 4, 2, 1, 2, 4, 4, 2, 0, 4, 0, 1, 2, 0, 4, 3, 1, 2, 0, 3, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol500 = [3, 2, 4, 1, 0, 1, 1, 0, 1, 4, 4, 2, 4, 3, 1, 4, 0, 0, 4, 0, 1, 0, 3, 3, 2, 1, 2, 2, 1, 4, 2, 4, 3, 4, 2, 1, 2, 0, 4, 4, 4, 2, 3, 2, 4, 4, 2, 4, 1, 2, 4, 1, 4, 0, 2, 0, 1, 3, 0, 2, 4, 1, 3, 1, 0, 0, 4, 1, 0, 2, 4, 0, 4, 3, 2, 3, 0, 3, 4, 1, 4, 0, 1, 4, 2, 1, 4, 1, 4, 2, 3, 0, 0, 3, 1, 2, 2, 3, 0, 3, 2, 1, 4, 2, 3, 2, 2, 4, 1, 3, 2, 1, 0, 1, 0, 4, 4, 3, 3, 0, 0, 2, 3, 3, 4, 1, 4, 1, 0, 1, 3, 4, 4, 2, 1, 1, 4, 1, 3, 4, 4, 4, 3, 2, 0, 4, 2, 4, 0, 0, 0, 3, 3, 1, 4, 4, 4, 3, 2, 1, 3, 3, 2, 2, 3, 2, 2, 2, 4, 1, 1, 2, 2, 0, 1, 2, 1, 4, 2, 1, 2, 0, 4, 2, 4, 3, 4, 0, 2, 2, 4, 1, 1, 1, 0, 3, 1, 2, 0, 4, 1, 4, 0, 4, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 4, 3, 3, 1, 3, 4, 3, 2, 2, 3, 2, 1, 3, 1, 0, 4, 1, 1, 0, 3, 4, 3, 0, 1, 4, 0, 4, 1, 4, 1, 0, 1, 2, 4, 1, 3, 2, 3, 3, 0, 0, 2, 2, 3, 2, 0, 0, 1, 2, 1, 3, 3, 3, 2, 2, 1, 0, 0, 3, 4, 4, 3, 2, 0, 0, 4, 0, 4, 3, 1, 2, 4, 4, 2, 4, 2, 4, 3, 1, 0, 0, 2, 4, 0, 3, 1, 3, 1, 3, 0, 0, 3, 0, 2, 4, 1, 3, 1, 1, 4, 2, 1, 1, 4, 1, 4, 4, 4, 1, 0, 1, 0, 2, 0, 4, 3, 3, 0, 2, 2, 3, 0, 3, 1, 2, 4, 1, 0, 3, 3, 1, 4, 4, 3, 0, 3, 1, 3, 0, 0, 4, 0, 3, 1, 4, 4, 4, 4, 0, 1, 0, 4, 2, 0, 4, 1, 4, 0, 1, 2, 4, 0, 2, 2, 4, 3, 0, 3, 1, 0, 2, 4, 2, 1, 0, 2, 3, 4, 0, 3, 4, 1, 3, 1, 2, 4, 4, 3, 0, 0, 2, 2, 3, 4, 1, 4, 0, 1, 4, 2, 3, 2, 3, 3, 3, 2, 0, 4, 1, 4, 1, 4, 0, 0, 1, 2, 1, 1, 2, 4, 4, 4, 3, 4, 3, 3, 4, 0, 1, 0, 3, 3, 2, 3, 4, 2, 2, 4, 3, 1, 0, 4, 4, 1, 1, 2, 4, 3, 1, 2, 4, 2, 0, 1, 2, 0, 2, 3, 3, 2, 0, 2, 4] pubkeycol501 = [1, 4, 0, 3, 3, 3, 1, 0, 3, 4, 4, 1, 0, 4, 0, 0, 4, 4, 2, 2, 3, 4, 4, 3, 2, 4, 0, 4, 1, 4, 0, 3, 0, 2, 4, 0, 4, 3, 3, 3, 1, 2, 3, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 3, 3, 2, 1, 4, 1, 4, 4, 1, 1, 0, 3, 3, 0, 3, 4, 4, 3, 4, 1, 3, 2, 1, 1, 0, 3, 4, 2, 1, 4, 0, 4, 3, 2, 4, 0, 2, 3, 2, 2, 1, 4, 0, 2, 1, 2, 4, 4, 4, 4, 3, 1, 4, 2, 3, 4, 1, 3, 3, 4, 1, 2, 0, 2, 2, 2, 0, 3, 0, 1, 1, 2, 0, 3, 3, 0, 0, 2, 1, 3, 1, 3, 4, 4, 3, 2, 0, 1, 0, 4, 3, 1, 3, 1, 4, 4, 4, 2, 1, 1, 3, 0, 3, 0, 3, 2, 1, 2, 2, 2, 4, 4, 1, 4, 1, 4, 1, 2, 4, 2, 1, 0, 0, 3, 3, 2, 1, 2, 2, 4, 3, 3, 3, 0, 2, 4, 2, 3, 2, 3, 1, 3, 1, 2, 1, 1, 4, 4, 4, 0, 4, 2, 2, 0, 0, 4, 2, 0, 1, 3, 0, 3, 0, 0, 4, 3, 3, 3, 4, 4, 3, 1, 3, 3, 0, 0, 2, 0, 4, 2, 0, 1, 1, 1, 3, 3, 1, 2, 1, 3, 4, 4, 0, 0, 1, 0, 3, 3, 1, 1, 0, 4, 1, 1, 4, 3, 1, 4, 1, 3, 2, 3, 2, 4, 0, 4, 4, 4, 2, 4, 0, 4, 3, 1, 1, 0, 4, 4, 4, 2, 4, 3, 3, 3, 4, 1, 2, 1, 3, 1, 0, 3, 0, 2, 1, 1, 4, 3, 4, 2, 2, 0, 3, 1, 2, 0, 2, 0, 4, 0, 4, 2, 0, 0, 1, 1, 1, 2, 0, 1, 3, 1, 3, 4, 4, 4, 2, 1, 0, 4, 3, 1, 1, 3, 2, 2, 1, 2, 4, 0, 3, 0, 3, 3, 3, 1, 3, 3, 4, 2, 2, 4, 0, 0, 1, 4, 0, 1, 2, 1, 2, 3, 1, 2, 0, 3, 2, 3, 3, 1, 4, 4, 1, 3, 0, 2, 2, 2, 4, 0, 4, 3, 2, 4, 3, 3, 0, 2, 1, 1, 0, 3, 4, 4, 0, 2, 1, 4, 0, 4, 4, 1, 4, 1, 4, 1, 2, 2, 4, 3, 2, 1, 1, 0, 2, 3, 4, 4, 1, 2, 2, 2, 2, 3, 1, 1, 4, 2, 4, 2, 3, 2, 1, 1, 3, 0, 4, 1, 3, 1, 1, 4, 0, 4, 3, 1, 3, 1, 4, 4, 2, 3, 4, 1, 1, 0, 2, 2, 3, 3, 0, 4, 2, 0, 1, 3, 1, 1, 4, 4, 1, 1, 2, 2, 3] pubkeycol502 = [4, 3, 1, 3, 1, 0, 0, 3, 0, 4, 2, 3, 4, 2, 2, 3, 1, 0, 1, 3, 3, 0, 4, 2, 0, 0, 2, 1, 2, 3, 0, 0, 1, 0, 2, 0, 0, 3, 3, 0, 2, 2, 2, 4, 1, 3, 2, 2, 1, 4, 4, 4, 3, 3, 4, 2, 0, 1, 2, 1, 2, 0, 4, 0, 3, 3, 0, 0, 1, 3, 4, 2, 0, 1, 2, 1, 1, 4, 2, 3, 0, 3, 3, 2, 4, 3, 1, 2, 3, 0, 2, 3, 2, 2, 0, 0, 1, 2, 1, 2, 3, 1, 3, 0, 2, 1, 2, 3, 1, 1, 3, 2, 1, 1, 4, 4, 0, 3, 3, 0, 2, 3, 3, 4, 4, 3, 4, 2, 1, 2, 1, 1, 1, 3, 4, 4, 0, 4, 1, 1, 0, 2, 0, 2, 1, 0, 4, 1, 1, 1, 0, 1, 0, 1, 0, 4, 2, 1, 4, 2, 1, 3, 4, 0, 2, 0, 0, 4, 3, 2, 4, 3, 3, 3, 3, 1, 1, 4, 0, 4, 3, 4, 0, 0, 3, 1, 0, 4, 0, 3, 4, 1, 0, 0, 3, 0, 1, 3, 2, 3, 4, 3, 1, 3, 1, 3, 0, 0, 4, 4, 4, 3, 3, 3, 3, 4, 2, 4, 2, 0, 1, 4, 4, 1, 0, 4, 0, 4, 3, 2, 1, 2, 1, 4, 4, 2, 3, 4, 1, 1, 2, 1, 3, 1, 0, 3, 4, 2, 1, 4, 3, 3, 0, 1, 2, 3, 2, 0, 0, 0, 1, 3, 2, 4, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 4, 1, 2, 2, 0, 1, 0, 4, 1, 0, 4, 3, 4, 4, 0, 2, 4, 1, 3, 4, 2, 0, 4, 3, 4, 4, 0, 0, 2, 3, 1, 1, 3, 2, 3, 2, 3, 1, 4, 3, 2, 0, 4, 1, 3, 3, 1, 3, 0, 2, 4, 2, 3, 2, 0, 4, 4, 0, 3, 2, 3, 0, 4, 3, 2, 1, 0, 2, 0, 3, 2, 1, 1, 0, 2, 3, 3, 4, 4, 2, 2, 0, 0, 0, 3, 3, 4, 4, 1, 2, 4, 2, 0, 3, 3, 4, 4, 0, 3, 0, 2, 2, 1, 1, 4, 4, 2, 1, 2, 2, 4, 0, 1, 4, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 4, 3, 3, 4, 1, 0, 0, 2, 3, 2, 2, 4, 3, 3, 1, 1, 3, 1, 0, 0, 1, 3, 3, 0, 3, 2, 3, 2, 1, 4, 2, 2, 4, 4, 1, 4, 4, 4, 0, 1, 2, 0, 4, 0, 1, 4, 4, 0, 2, 2, 0, 1, 0, 4, 1, 0, 2, 2, 0, 1, 0, 2, 1, 4, 4, 0, 1, 2, 2, 1, 1, 3, 0, 1, 0, 4, 4, 1, 1, 2] pubkeycol503 = [0, 2, 1, 3, 3, 4, 1, 1, 4, 0, 2, 0, 0, 4, 4, 3, 3, 3, 1, 0, 0, 1, 3, 3, 3, 1, 2, 4, 2, 0, 3, 3, 4, 3, 2, 4, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 4, 2, 2, 2, 1, 1, 4, 0, 0, 3, 1, 1, 2, 0, 2, 2, 3, 4, 0, 0, 4, 4, 2, 3, 1, 4, 4, 1, 0, 0, 2, 2, 0, 0, 3, 3, 0, 1, 0, 4, 1, 2, 2, 2, 4, 4, 2, 1, 4, 2, 1, 2, 1, 3, 2, 1, 1, 2, 4, 0, 4, 4, 3, 4, 4, 3, 3, 3, 0, 4, 0, 2, 4, 1, 3, 0, 3, 0, 3, 4, 2, 1, 0, 1, 3, 0, 0, 2, 0, 4, 0, 2, 4, 2, 0, 2, 4, 4, 1, 4, 1, 0, 2, 3, 0, 3, 2, 4, 0, 4, 3, 2, 1, 3, 4, 2, 1, 0, 1, 1, 3, 2, 2, 2, 0, 0, 3, 3, 0, 3, 2, 0, 0, 0, 0, 4, 0, 1, 4, 4, 4, 2, 4, 0, 3, 2, 0, 1, 4, 4, 3, 3, 3, 0, 0, 0, 1, 0, 0, 0, 3, 2, 0, 1, 3, 2, 0, 2, 0, 1, 0, 4, 4, 4, 4, 3, 1, 4, 4, 2, 0, 0, 4, 0, 1, 0, 2, 2, 3, 3, 0, 0, 0, 0, 1, 4, 0, 4, 3, 2, 1, 4, 1, 1, 3, 4, 3, 0, 2, 2, 4, 0, 0, 2, 2, 1, 4, 0, 4, 2, 0, 4, 3, 2, 1, 1, 1, 3, 4, 0, 3, 3, 4, 1, 3, 2, 1, 2, 1, 1, 3, 1, 4, 1, 2, 2, 0, 4, 4, 0, 3, 3, 0, 4, 2, 1, 2, 1, 3, 0, 3, 0, 3, 1, 2, 2, 4, 1, 2, 2, 4, 3, 3, 3, 3, 2, 4, 0, 0, 1, 4, 2, 1, 4, 0, 2, 4, 1, 4, 4, 2, 0, 0, 4, 3, 3, 2, 3, 0, 1, 2, 1, 4, 1, 1, 2, 3, 4, 3, 0, 2, 2, 1, 3, 1, 0, 4, 1, 1, 3, 2, 2, 4, 0, 4, 3, 3, 1, 0, 2, 3, 3, 1, 0, 2, 2, 2, 2, 0, 3, 1, 3, 1, 3, 2, 3, 4, 1, 0, 3, 2, 3, 4, 1, 3, 3, 2, 2, 1, 1, 0, 2, 1, 4, 4, 4, 2, 4, 0, 2, 2, 3, 3, 0, 4, 2, 2, 3, 0, 4, 3, 0, 3, 1, 0, 3, 2, 3, 4, 1, 4, 2, 3, 0, 2, 3, 3, 0, 0, 4, 2, 0, 4, 4, 0, 1, 3, 3, 0, 0, 0, 3, 1, 3, 3, 2, 0, 1, 3, 3, 2, 1, 2, 0, 4, 0, 4, 0, 1] pubkeycol504 = [3, 4, 1, 3, 3, 3, 2, 0, 0, 3, 4, 4, 4, 1, 3, 0, 3, 3, 0, 3, 0, 1, 0, 3, 3, 3, 0, 4, 1, 3, 4, 3, 1, 0, 4, 1, 0, 4, 2, 0, 4, 1, 0, 4, 1, 3, 4, 1, 1, 3, 2, 3, 4, 0, 1, 2, 2, 4, 0, 2, 0, 3, 4, 2, 0, 3, 2, 2, 0, 2, 3, 1, 1, 3, 3, 1, 2, 4, 2, 0, 2, 3, 1, 4, 0, 3, 4, 3, 4, 1, 3, 4, 4, 3, 4, 3, 0, 1, 0, 0, 3, 0, 0, 1, 0, 3, 2, 4, 2, 4, 1, 4, 1, 2, 0, 4, 2, 1, 3, 0, 1, 1, 1, 2, 2, 0, 4, 4, 3, 2, 2, 2, 0, 0, 2, 3, 4, 1, 1, 3, 4, 0, 1, 2, 4, 4, 1, 2, 2, 1, 4, 4, 0, 3, 1, 0, 1, 4, 0, 2, 4, 2, 4, 4, 3, 2, 1, 0, 3, 1, 3, 2, 3, 2, 4, 1, 3, 3, 3, 0, 2, 0, 1, 3, 1, 4, 1, 1, 1, 0, 4, 2, 1, 0, 2, 2, 4, 1, 2, 3, 3, 0, 2, 1, 4, 2, 1, 3, 4, 1, 0, 4, 0, 1, 0, 2, 1, 4, 2, 4, 3, 1, 3, 4, 2, 3, 2, 3, 0, 0, 1, 4, 4, 0, 1, 2, 3, 1, 3, 1, 1, 3, 4, 1, 0, 4, 4, 4, 1, 3, 4, 0, 3, 2, 4, 2, 4, 3, 0, 2, 2, 3, 4, 1, 2, 4, 1, 4, 1, 1, 4, 1, 3, 4, 2, 4, 2, 3, 2, 0, 1, 2, 3, 0, 4, 4, 2, 1, 2, 1, 4, 3, 2, 4, 0, 3, 2, 3, 0, 0, 3, 4, 2, 4, 1, 2, 0, 2, 4, 0, 3, 4, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 4, 2, 4, 4, 1, 3, 3, 2, 4, 4, 1, 1, 1, 4, 0, 3, 3, 1, 3, 1, 4, 4, 2, 4, 2, 2, 2, 3, 0, 2, 1, 0, 2, 0, 1, 2, 4, 1, 4, 3, 4, 0, 0, 0, 3, 0, 3, 1, 4, 3, 0, 2, 0, 1, 0, 0, 3, 0, 2, 3, 2, 4, 2, 4, 2, 1, 2, 4, 3, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 3, 4, 3, 1, 1, 4, 2, 2, 0, 3, 3, 4, 4, 3, 4, 1, 2, 4, 3, 1, 1, 0, 2, 0, 0, 0, 0, 3, 1, 2, 3, 2, 2, 3, 1, 0, 1, 1, 4, 1, 4, 1, 4, 4, 0, 0, 4, 3, 4, 3, 2, 1, 4, 2, 4, 4, 0, 4, 4, 4, 2, 1, 3, 3, 2, 3, 2, 3, 3] pubkeycol505 = [1, 3, 0, 1, 0, 0, 4, 0, 1, 3, 2, 3, 2, 4, 4, 3, 2, 3, 3, 4, 2, 3, 4, 1, 3, 1, 0, 0, 2, 1, 4, 2, 0, 3, 4, 0, 0, 2, 3, 2, 3, 1, 1, 3, 2, 2, 2, 2, 2, 4, 2, 3, 2, 0, 1, 0, 4, 1, 0, 4, 4, 2, 3, 0, 1, 1, 2, 0, 4, 4, 3, 2, 0, 2, 4, 0, 0, 1, 0, 2, 4, 4, 1, 2, 0, 2, 2, 4, 2, 3, 3, 0, 4, 1, 3, 0, 4, 1, 4, 0, 1, 3, 3, 1, 3, 0, 4, 3, 0, 1, 1, 1, 2, 0, 0, 0, 3, 0, 0, 1, 3, 4, 2, 0, 3, 4, 0, 1, 0, 2, 0, 1, 0, 3, 4, 4, 0, 1, 3, 3, 3, 3, 3, 0, 4, 1, 0, 4, 1, 4, 3, 2, 2, 2, 0, 3, 2, 0, 1, 2, 0, 4, 1, 0, 4, 0, 1, 1, 0, 2, 3, 2, 1, 1, 2, 1, 2, 3, 2, 2, 2, 2, 1, 0, 0, 1, 4, 1, 2, 0, 2, 3, 1, 4, 4, 2, 4, 4, 0, 2, 4, 1, 3, 4, 2, 0, 2, 0, 3, 1, 0, 4, 4, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 3, 1, 4, 1, 3, 2, 4, 3, 0, 0, 2, 1, 4, 0, 4, 1, 3, 4, 2, 4, 0, 2, 1, 3, 4, 1, 1, 1, 4, 3, 2, 2, 4, 4, 2, 3, 1, 2, 1, 4, 1, 1, 2, 1, 4, 1, 3, 4, 3, 2, 1, 0, 1, 0, 4, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 1, 4, 0, 3, 1, 3, 4, 4, 3, 3, 0, 0, 2, 3, 4, 4, 4, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 4, 1, 1, 2, 1, 0, 1, 4, 0, 1, 4, 4, 4, 1, 1, 3, 2, 3, 3, 4, 3, 4, 4, 2, 4, 3, 4, 0, 0, 2, 0, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 4, 4, 0, 0, 0, 3, 2, 4, 4, 1, 4, 2, 3, 4, 0, 0, 0, 3, 1, 1, 1, 4, 2, 2, 4, 1, 4, 4, 1, 3, 2, 2, 2, 2, 4, 2, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 3, 3, 0, 2, 4, 4, 4, 0, 4, 2, 1, 2, 1, 0, 2, 3, 2, 2, 4, 0, 3, 0, 3, 2, 2, 3, 2, 1, 1, 3, 1, 1, 3, 3, 1, 2, 2, 1, 1, 4, 4, 1, 2, 0, 2, 3, 3, 2, 2, 3, 2, 1, 0, 4, 0, 0, 4, 3, 2, 0, 2, 0, 3, 4, 0, 1] pubkeycol506 = [1, 3, 4, 4, 4, 1, 4, 2, 4, 0, 1, 4, 4, 3, 1, 4, 2, 0, 2, 0, 2, 4, 2, 4, 0, 3, 0, 2, 1, 4, 0, 0, 2, 3, 3, 0, 0, 1, 0, 1, 0, 0, 3, 0, 3, 2, 3, 2, 0, 1, 3, 4, 2, 2, 3, 2, 0, 3, 2, 1, 3, 2, 0, 2, 1, 4, 2, 2, 0, 4, 1, 2, 2, 4, 0, 4, 1, 1, 1, 4, 2, 4, 0, 0, 2, 4, 3, 0, 4, 2, 2, 4, 2, 0, 2, 2, 0, 4, 2, 2, 4, 4, 2, 2, 3, 3, 4, 4, 2, 0, 2, 4, 0, 0, 2, 3, 3, 4, 3, 0, 0, 1, 3, 3, 2, 1, 3, 4, 4, 4, 1, 4, 3, 0, 2, 1, 4, 3, 0, 1, 1, 1, 0, 2, 4, 4, 1, 2, 1, 2, 2, 1, 4, 3, 4, 3, 1, 1, 2, 2, 0, 0, 1, 3, 2, 0, 0, 1, 2, 3, 2, 0, 1, 2, 0, 4, 3, 0, 0, 2, 4, 2, 4, 0, 4, 4, 3, 3, 0, 3, 3, 0, 0, 3, 4, 1, 4, 1, 3, 1, 2, 0, 4, 0, 1, 2, 1, 2, 0, 0, 4, 3, 1, 1, 4, 4, 0, 2, 2, 2, 2, 3, 3, 0, 3, 2, 1, 1, 0, 2, 0, 3, 4, 2, 3, 2, 3, 0, 1, 0, 2, 4, 1, 3, 4, 4, 2, 2, 0, 2, 0, 1, 3, 1, 0, 1, 4, 1, 4, 0, 3, 1, 0, 1, 1, 2, 2, 2, 4, 1, 3, 2, 4, 1, 0, 1, 1, 3, 1, 0, 1, 4, 2, 3, 2, 4, 4, 4, 0, 1, 4, 0, 0, 3, 1, 4, 4, 0, 4, 3, 2, 2, 3, 0, 4, 2, 2, 0, 2, 2, 2, 4, 1, 1, 3, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 3, 3, 0, 2, 1, 4, 1, 4, 0, 3, 4, 3, 0, 3, 4, 4, 2, 0, 4, 0, 3, 0, 0, 2, 1, 1, 4, 0, 2, 0, 3, 4, 0, 0, 0, 1, 4, 0, 3, 4, 2, 0, 4, 4, 2, 0, 1, 3, 4, 4, 2, 3, 3, 3, 1, 2, 1, 2, 0, 3, 4, 2, 4, 2, 3, 1, 3, 4, 4, 1, 3, 3, 1, 2, 1, 0, 2, 1, 2, 4, 1, 3, 2, 3, 0, 0, 4, 3, 0, 2, 3, 0, 4, 3, 4, 4, 3, 3, 4, 0, 2, 2, 0, 3, 2, 3, 1, 2, 4, 4, 3, 1, 0, 1, 0, 0, 4, 4, 4, 3, 4, 1, 4, 4, 2, 1, 1, 2, 0, 2, 4, 3, 3, 0, 2, 3, 4, 2, 2, 3, 1, 2, 3, 1, 2, 1, 4, 2, 3, 2, 1, 3, 3, 4, 3] pubkeycol507 = [3, 4, 2, 3, 4, 1, 3, 3, 0, 2, 4, 1, 3, 0, 1, 4, 1, 0, 1, 2, 0, 0, 2, 1, 3, 4, 3, 1, 4, 0, 3, 4, 1, 3, 1, 0, 3, 1, 1, 3, 4, 3, 3, 3, 3, 2, 4, 2, 0, 4, 3, 1, 2, 1, 1, 0, 3, 4, 4, 3, 3, 0, 3, 3, 4, 3, 0, 2, 4, 2, 1, 3, 0, 4, 4, 4, 2, 4, 4, 3, 4, 0, 1, 0, 1, 3, 4, 2, 4, 1, 2, 3, 2, 0, 2, 3, 3, 3, 4, 3, 3, 1, 0, 1, 2, 0, 2, 1, 2, 1, 4, 3, 0, 2, 2, 0, 3, 4, 3, 4, 2, 1, 2, 3, 1, 0, 2, 4, 4, 1, 2, 1, 3, 1, 2, 0, 0, 1, 3, 2, 1, 1, 3, 4, 3, 3, 1, 2, 4, 3, 2, 2, 3, 4, 3, 3, 3, 1, 3, 0, 2, 3, 3, 3, 1, 3, 3, 0, 2, 1, 4, 0, 0, 4, 1, 2, 1, 3, 3, 4, 4, 3, 1, 0, 4, 4, 4, 3, 2, 4, 4, 0, 1, 0, 0, 0, 0, 4, 0, 4, 2, 1, 4, 0, 1, 1, 2, 0, 4, 2, 1, 2, 3, 2, 3, 4, 3, 2, 3, 4, 2, 3, 4, 4, 4, 3, 1, 3, 3, 3, 0, 4, 4, 2, 2, 0, 4, 2, 0, 1, 2, 1, 3, 3, 2, 4, 2, 2, 4, 4, 1, 1, 0, 2, 1, 4, 4, 4, 0, 2, 2, 2, 0, 1, 3, 3, 1, 1, 1, 4, 2, 2, 3, 2, 4, 1, 4, 4, 3, 0, 3, 4, 3, 0, 0, 3, 4, 1, 4, 0, 0, 4, 4, 3, 3, 4, 0, 1, 4, 0, 4, 4, 0, 3, 4, 4, 2, 1, 1, 3, 0, 2, 4, 2, 2, 1, 4, 4, 2, 1, 3, 0, 2, 0, 0, 0, 4, 3, 3, 1, 0, 1, 2, 0, 4, 3, 4, 3, 3, 2, 3, 4, 1, 2, 1, 1, 2, 0, 2, 4, 0, 4, 4, 1, 3, 1, 0, 1, 1, 2, 4, 1, 4, 3, 3, 0, 4, 2, 4, 3, 0, 3, 2, 4, 4, 0, 3, 1, 1, 1, 1, 0, 3, 1, 2, 0, 2, 3, 3, 2, 4, 1, 3, 2, 0, 3, 3, 2, 3, 3, 1, 4, 0, 2, 2, 0, 0, 2, 3, 0, 4, 0, 3, 4, 2, 1, 0, 0, 4, 3, 4, 4, 1, 1, 3, 2, 1, 1, 1, 1, 0, 1, 4, 1, 1, 1, 4, 2, 0, 0, 3, 2, 4, 3, 0, 3, 2, 1, 3, 3, 1, 4, 4, 2, 1, 1, 3, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 3, 3, 0, 2, 4, 3, 4, 1, 0, 1, 3, 2] pubkeycol508 = [2, 4, 3, 4, 0, 3, 3, 4, 1, 4, 4, 3, 1, 0, 1, 2, 1, 4, 0, 0, 1, 2, 3, 4, 0, 4, 1, 0, 4, 1, 3, 1, 3, 0, 1, 4, 0, 4, 3, 2, 1, 3, 3, 3, 1, 0, 1, 3, 4, 0, 3, 4, 1, 3, 3, 3, 4, 0, 0, 4, 1, 2, 0, 4, 4, 4, 0, 4, 2, 2, 2, 3, 3, 0, 2, 4, 2, 0, 4, 4, 1, 2, 1, 2, 0, 1, 0, 3, 3, 1, 0, 3, 2, 1, 3, 4, 0, 3, 4, 1, 2, 0, 2, 2, 3, 2, 0, 2, 0, 4, 0, 2, 3, 2, 4, 0, 3, 4, 1, 0, 4, 1, 1, 4, 4, 4, 1, 4, 1, 1, 2, 4, 4, 0, 0, 2, 1, 4, 2, 4, 1, 1, 2, 1, 3, 0, 0, 3, 4, 0, 1, 3, 3, 0, 3, 3, 3, 4, 4, 4, 2, 2, 2, 4, 1, 3, 4, 1, 2, 4, 0, 1, 3, 0, 2, 2, 0, 4, 4, 0, 3, 4, 3, 2, 4, 4, 3, 2, 2, 0, 4, 0, 2, 0, 0, 4, 2, 1, 4, 3, 4, 2, 0, 2, 0, 0, 2, 0, 4, 4, 3, 2, 3, 0, 1, 1, 3, 1, 3, 3, 1, 2, 2, 0, 1, 3, 2, 4, 3, 2, 0, 4, 0, 3, 2, 3, 1, 1, 3, 0, 0, 4, 4, 1, 4, 0, 3, 0, 3, 2, 2, 3, 3, 4, 3, 0, 1, 3, 0, 4, 4, 2, 3, 0, 2, 1, 1, 0, 0, 4, 1, 4, 2, 1, 4, 4, 0, 1, 0, 4, 2, 3, 4, 1, 1, 2, 3, 4, 3, 2, 3, 1, 0, 4, 4, 4, 3, 3, 1, 1, 1, 0, 3, 2, 1, 3, 0, 1, 3, 1, 0, 1, 3, 3, 3, 4, 3, 2, 4, 3, 1, 0, 0, 1, 4, 1, 3, 2, 2, 4, 1, 1, 0, 3, 0, 4, 0, 0, 2, 0, 2, 4, 0, 2, 1, 3, 3, 4, 1, 1, 0, 4, 3, 3, 1, 0, 4, 1, 3, 1, 1, 2, 4, 2, 1, 0, 2, 4, 1, 4, 1, 0, 0, 4, 3, 1, 2, 4, 3, 2, 0, 0, 2, 1, 1, 2, 3, 1, 1, 0, 3, 0, 1, 0, 3, 3, 0, 3, 3, 4, 2, 0, 3, 0, 0, 4, 0, 2, 1, 1, 4, 1, 0, 2, 4, 1, 4, 2, 1, 4, 1, 3, 1, 4, 1, 0, 3, 0, 1, 3, 1, 1, 2, 0, 4, 2, 0, 3, 4, 0, 0, 1, 0, 4, 3, 0, 0, 4, 1, 2, 2, 0, 0, 0, 1, 1, 3, 1, 2, 4, 2, 1, 3, 2, 1, 0, 1, 0, 4, 2, 0, 3, 4, 3, 0, 2, 4, 1, 1, 1] pubkeycol509 = [4, 4, 4, 3, 1, 2, 3, 1, 4, 0, 3, 0, 3, 2, 3, 3, 2, 2, 3, 4, 4, 0, 1, 3, 4, 1, 1, 2, 4, 1, 1, 1, 0, 4, 1, 2, 0, 1, 3, 2, 4, 0, 4, 0, 1, 2, 1, 0, 1, 3, 4, 2, 2, 4, 3, 2, 1, 2, 1, 1, 3, 3, 3, 4, 2, 3, 1, 3, 1, 2, 1, 4, 4, 3, 0, 1, 1, 4, 1, 0, 3, 2, 4, 1, 2, 2, 0, 2, 3, 4, 2, 2, 2, 2, 4, 4, 2, 1, 4, 4, 2, 4, 1, 4, 2, 4, 4, 3, 3, 1, 1, 1, 3, 4, 0, 4, 3, 2, 2, 2, 3, 2, 3, 1, 4, 1, 2, 4, 1, 4, 1, 0, 0, 1, 4, 4, 1, 4, 0, 0, 0, 2, 0, 0, 0, 0, 4, 2, 4, 4, 4, 0, 3, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 3, 1, 2, 1, 2, 2, 4, 1, 3, 0, 2, 1, 1, 0, 3, 1, 4, 4, 4, 3, 4, 1, 3, 3, 4, 4, 4, 1, 0, 0, 3, 4, 4, 2, 3, 2, 1, 1, 3, 4, 3, 3, 1, 3, 1, 3, 0, 1, 3, 0, 1, 2, 4, 2, 0, 0, 4, 3, 2, 2, 2, 0, 4, 1, 4, 2, 4, 1, 3, 4, 2, 1, 4, 0, 3, 1, 1, 1, 4, 4, 3, 3, 1, 3, 1, 4, 2, 3, 3, 4, 3, 0, 1, 0, 3, 4, 2, 2, 2, 3, 2, 4, 2, 3, 2, 0, 2, 1, 4, 1, 1, 2, 0, 1, 0, 4, 1, 3, 4, 1, 1, 0, 1, 2, 3, 2, 4, 1, 1, 1, 3, 0, 1, 3, 4, 3, 4, 3, 2, 0, 0, 2, 1, 0, 4, 1, 3, 2, 1, 0, 4, 0, 4, 1, 1, 2, 1, 4, 1, 1, 4, 2, 3, 4, 0, 3, 2, 3, 4, 4, 0, 2, 3, 1, 0, 2, 0, 2, 0, 4, 3, 4, 4, 0, 3, 0, 3, 3, 4, 2, 4, 0, 2, 2, 1, 4, 4, 3, 0, 2, 0, 2, 2, 3, 4, 4, 1, 4, 3, 3, 0, 0, 3, 0, 0, 1, 0, 4, 0, 0, 0, 3, 1, 2, 3, 3, 2, 1, 4, 2, 4, 1, 3, 3, 0, 4, 3, 3, 2, 4, 1, 4, 2, 4, 1, 2, 0, 2, 3, 0, 4, 0, 0, 1, 0, 3, 3, 0, 0, 0, 3, 2, 2, 1, 2, 2, 4, 0, 3, 1, 3, 3, 2, 4, 3, 0, 3, 1, 1, 2, 3, 4, 1, 1, 4, 4, 3, 4, 0, 3, 1, 0, 3, 3, 4, 2, 4, 4, 2, 1, 2, 1, 0, 4, 4, 4, 1, 2, 3, 3, 4, 2, 2, 1, 4, 2] pubkeycol510 = [1, 3, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 3, 4, 0, 3, 1, 3, 3, 2, 2, 3, 4, 2, 0, 0, 1, 2, 4, 3, 4, 1, 2, 1, 4, 0, 4, 3, 1, 1, 4, 0, 4, 1, 2, 1, 1, 3, 1, 1, 3, 1, 4, 0, 4, 0, 0, 4, 4, 3, 4, 1, 3, 3, 4, 4, 1, 3, 3, 4, 3, 3, 2, 2, 1, 3, 4, 3, 2, 4, 4, 3, 3, 1, 2, 4, 3, 2, 3, 0, 1, 0, 1, 2, 1, 2, 1, 4, 4, 1, 2, 3, 0, 1, 4, 0, 2, 0, 3, 3, 4, 4, 2, 4, 2, 0, 4, 4, 3, 4, 4, 4, 0, 1, 2, 3, 2, 4, 0, 3, 1, 1, 1, 1, 1, 0, 0, 0, 1, 4, 0, 3, 3, 4, 1, 1, 0, 0, 0, 4, 4, 1, 4, 4, 1, 2, 2, 1, 3, 2, 3, 2, 2, 0, 1, 1, 1, 1, 4, 4, 4, 3, 3, 2, 2, 3, 3, 1, 1, 1, 1, 2, 1, 4, 1, 4, 0, 1, 3, 4, 3, 1, 3, 4, 3, 2, 0, 4, 1, 3, 0, 2, 2, 4, 1, 3, 4, 4, 2, 4, 0, 3, 2, 0, 1, 3, 4, 4, 0, 1, 4, 4, 0, 3, 4, 2, 4, 0, 1, 2, 2, 4, 3, 4, 0, 1, 1, 0, 2, 2, 2, 3, 3, 1, 3, 3, 0, 3, 0, 4, 4, 4, 3, 3, 4, 1, 1, 1, 2, 2, 4, 2, 2, 1, 0, 0, 2, 1, 4, 4, 4, 1, 2, 2, 2, 0, 4, 4, 0, 4, 2, 3, 3, 0, 4, 3, 0, 2, 1, 4, 3, 1, 2, 0, 1, 4, 1, 0, 0, 2, 3, 3, 0, 4, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 2, 2, 2, 3, 1, 2, 1, 3, 2, 4, 3, 1, 3, 4, 3, 3, 0, 0, 3, 4, 0, 4, 3, 3, 2, 0, 4, 2, 1, 1, 0, 0, 1, 0, 3, 3, 1, 3, 4, 0, 1, 3, 2, 4, 4, 1, 0, 1, 1, 1, 2, 2, 3, 3, 3, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 4, 2, 3, 0, 3, 1, 3, 3, 0, 2, 0, 3, 0, 3, 0, 4, 4, 1, 0, 4, 3, 3, 2, 1, 1, 4, 2, 3, 3, 1, 1, 1, 3, 2, 2, 1, 1, 4, 2, 4, 1, 2, 3, 0, 3, 2, 3, 4, 2, 3, 1, 3, 1, 4, 1, 0, 1, 3, 3, 3, 1, 1, 3, 4, 4, 1, 1, 2, 3, 2, 1, 3, 3, 1, 0, 2, 4, 1, 1, 2, 1, 4, 0, 4, 3, 2, 4, 4, 3, 3, 3, 0, 0, 3, 4, 2, 1, 0, 4, 0] pubkeycol511 = [0, 3, 0, 0, 4, 1, 1, 1, 2, 3, 2, 0, 3, 4, 1, 2, 4, 3, 2, 3, 2, 0, 2, 2, 1, 3, 1, 0, 2, 2, 2, 0, 2, 2, 4, 3, 4, 0, 4, 2, 1, 2, 3, 0, 4, 2, 2, 3, 2, 0, 1, 4, 0, 3, 0, 3, 0, 2, 2, 1, 0, 0, 1, 3, 2, 0, 1, 0, 3, 2, 4, 1, 1, 0, 4, 4, 4, 4, 2, 1, 2, 2, 1, 2, 1, 0, 3, 1, 2, 3, 4, 3, 3, 3, 4, 0, 4, 3, 3, 0, 4, 3, 2, 4, 0, 3, 0, 1, 4, 4, 1, 3, 2, 4, 3, 0, 3, 1, 0, 4, 3, 2, 4, 1, 1, 2, 3, 3, 4, 2, 0, 3, 0, 2, 1, 3, 3, 0, 2, 0, 4, 1, 3, 1, 3, 2, 0, 0, 3, 0, 2, 4, 4, 1, 2, 3, 3, 2, 2, 3, 1, 1, 2, 4, 4, 0, 1, 2, 1, 1, 2, 4, 2, 3, 1, 3, 2, 3, 1, 4, 3, 0, 3, 2, 1, 3, 0, 2, 2, 4, 4, 2, 4, 4, 0, 4, 0, 1, 2, 3, 0, 1, 0, 1, 1, 2, 3, 2, 3, 4, 3, 3, 1, 0, 3, 4, 3, 2, 4, 4, 0, 2, 2, 1, 2, 3, 3, 2, 2, 0, 4, 3, 3, 1, 3, 1, 0, 0, 0, 4, 0, 2, 3, 2, 3, 1, 3, 3, 2, 4, 4, 2, 2, 3, 2, 2, 1, 0, 4, 4, 3, 2, 1, 0, 2, 4, 0, 0, 2, 4, 2, 2, 0, 3, 1, 4, 2, 3, 1, 2, 3, 1, 1, 0, 4, 2, 0, 4, 2, 1, 2, 4, 1, 4, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 0, 3, 3, 2, 3, 2, 0, 2, 3, 2, 4, 0, 1, 1, 2, 0, 0, 2, 0, 2, 4, 2, 2, 0, 3, 1, 4, 0, 1, 4, 2, 3, 4, 0, 3, 1, 3, 0, 1, 3, 1, 2, 3, 1, 1, 2, 0, 3, 4, 1, 1, 2, 1, 0, 3, 2, 0, 0, 4, 0, 1, 1, 1, 1, 0, 2, 4, 4, 4, 2, 4, 2, 2, 3, 0, 2, 2, 0, 1, 2, 1, 0, 2, 4, 0, 1, 1, 3, 2, 0, 3, 0, 1, 3, 1, 3, 4, 4, 4, 0, 4, 1, 0, 4, 1, 1, 0, 3, 1, 3, 3, 3, 3, 1, 0, 4, 1, 3, 1, 1, 0, 4, 1, 4, 0, 1, 0, 0, 3, 2, 1, 0, 4, 4, 1, 1, 3, 2, 0, 3, 2, 4, 0, 4, 3, 0, 0, 2, 4, 4, 3, 1, 0, 3, 1, 2, 0, 0, 2, 3, 0, 0, 3, 4, 0, 1, 4, 2, 1, 3] pubkeycol512 = [4, 1, 4, 4, 3, 2, 2, 3, 1, 4, 3, 0, 3, 1, 3, 1, 4, 1, 4, 2, 4, 4, 4, 3, 2, 3, 0, 1, 3, 3, 3, 4, 4, 0, 2, 3, 1, 3, 3, 3, 1, 1, 1, 1, 4, 4, 1, 0, 3, 0, 4, 0, 2, 1, 2, 2, 2, 0, 1, 3, 2, 0, 4, 4, 4, 4, 0, 3, 2, 2, 2, 1, 1, 3, 4, 0, 4, 3, 1, 3, 3, 4, 1, 0, 2, 0, 0, 0, 4, 1, 4, 0, 0, 2, 4, 1, 4, 3, 2, 2, 4, 3, 2, 1, 2, 1, 1, 3, 3, 1, 2, 0, 2, 4, 1, 2, 1, 1, 0, 2, 4, 1, 2, 2, 1, 2, 0, 0, 4, 2, 2, 3, 2, 0, 1, 3, 1, 4, 4, 3, 0, 1, 3, 4, 2, 4, 1, 4, 4, 0, 3, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 4, 4, 0, 1, 2, 2, 2, 3, 3, 0, 0, 3, 2, 2, 0, 0, 3, 2, 0, 2, 2, 1, 3, 1, 0, 4, 2, 3, 0, 1, 0, 0, 4, 4, 0, 3, 4, 0, 4, 3, 1, 3, 4, 2, 2, 4, 2, 4, 2, 0, 4, 2, 2, 3, 0, 2, 3, 1, 0, 1, 4, 2, 0, 0, 3, 4, 1, 3, 1, 2, 2, 4, 2, 3, 2, 3, 1, 1, 1, 3, 4, 2, 1, 2, 4, 4, 0, 1, 4, 3, 4, 3, 3, 4, 3, 2, 2, 4, 1, 0, 2, 3, 4, 0, 1, 0, 0, 4, 3, 0, 0, 1, 1, 4, 1, 2, 0, 2, 2, 1, 0, 0, 3, 4, 0, 4, 4, 2, 1, 2, 0, 1, 3, 0, 4, 3, 0, 3, 1, 2, 2, 0, 2, 0, 2, 4, 0, 1, 4, 3, 2, 2, 2, 0, 0, 2, 4, 2, 3, 4, 2, 2, 4, 3, 3, 1, 2, 2, 4, 3, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 4, 1, 1, 2, 3, 4, 3, 4, 4, 0, 2, 4, 0, 4, 1, 4, 2, 0, 4, 3, 4, 3, 4, 0, 1, 4, 3, 2, 2, 0, 1, 3, 4, 0, 1, 0, 3, 2, 1, 2, 2, 4, 1, 2, 3, 2, 0, 3, 4, 1, 2, 4, 4, 2, 2, 3, 2, 0, 4, 3, 2, 0, 3, 4, 4, 1, 0, 0, 2, 1, 3, 2, 3, 1, 0, 0, 0, 2, 0, 4, 2, 4, 2, 1, 2, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3, 1, 3, 2, 2, 2, 0, 0, 1, 2, 0, 1, 3, 3, 1, 0, 4, 1, 3, 3, 1, 4, 1, 4, 4, 4, 0, 3, 1, 0, 3, 2, 1, 0, 1, 2, 2, 1, 4, 4] pubkeycol513 = [2, 2, 2, 3, 1, 1, 4, 1, 0, 4, 4, 0, 4, 0, 3, 1, 2, 2, 2, 2, 0, 1, 2, 0, 4, 3, 0, 0, 2, 0, 0, 4, 0, 0, 2, 2, 2, 0, 3, 0, 0, 0, 4, 3, 3, 2, 4, 2, 1, 4, 1, 4, 1, 1, 2, 2, 4, 1, 0, 4, 4, 1, 1, 2, 1, 0, 1, 3, 0, 4, 3, 3, 3, 1, 0, 3, 4, 0, 3, 4, 0, 3, 3, 4, 3, 4, 3, 2, 0, 1, 2, 3, 0, 3, 1, 3, 1, 2, 1, 3, 4, 4, 4, 2, 0, 4, 4, 3, 0, 0, 2, 4, 1, 1, 1, 0, 4, 1, 1, 4, 1, 4, 3, 1, 3, 0, 2, 2, 3, 0, 4, 0, 0, 0, 4, 1, 4, 1, 1, 4, 0, 0, 4, 3, 0, 4, 0, 2, 0, 0, 3, 3, 0, 1, 4, 0, 1, 0, 4, 3, 2, 3, 4, 0, 1, 1, 0, 0, 3, 4, 1, 3, 0, 1, 2, 1, 0, 3, 4, 1, 3, 4, 4, 1, 1, 2, 4, 1, 2, 0, 0, 4, 1, 0, 0, 4, 0, 4, 2, 3, 2, 4, 2, 2, 3, 1, 4, 3, 1, 4, 4, 4, 4, 2, 2, 0, 0, 0, 3, 1, 1, 0, 0, 3, 2, 1, 2, 1, 2, 1, 2, 1, 4, 1, 1, 3, 0, 0, 0, 4, 4, 0, 4, 2, 2, 2, 1, 0, 3, 3, 2, 2, 2, 0, 2, 3, 4, 1, 3, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 3, 0, 1, 2, 0, 4, 4, 2, 4, 2, 2, 4, 0, 1, 3, 1, 4, 3, 3, 3, 1, 1, 2, 0, 3, 1, 0, 4, 4, 3, 2, 1, 3, 3, 4, 2, 1, 0, 4, 4, 0, 4, 4, 3, 1, 3, 3, 0, 0, 0, 1, 4, 4, 0, 0, 4, 2, 0, 3, 2, 3, 1, 1, 3, 1, 2, 1, 1, 2, 3, 3, 4, 2, 3, 2, 0, 1, 0, 3, 4, 0, 4, 3, 2, 4, 2, 2, 2, 2, 0, 1, 0, 0, 3, 0, 0, 4, 1, 3, 3, 0, 2, 1, 2, 1, 0, 4, 3, 1, 1, 3, 4, 2, 4, 3, 1, 2, 0, 1, 0, 1, 0, 4, 2, 2, 1, 2, 1, 2, 4, 3, 0, 2, 4, 2, 1, 3, 0, 1, 1, 0, 0, 3, 0, 1, 3, 3, 0, 1, 4, 0, 2, 4, 1, 1, 0, 0, 4, 1, 0, 3, 3, 1, 2, 0, 1, 0, 3, 4, 3, 2, 0, 4, 1, 1, 0, 4, 0, 0, 2, 4, 4, 3, 2, 3, 2, 3, 1, 1, 3, 2, 4, 0, 1, 0, 2, 1, 4, 1, 3, 2, 0, 3, 2, 0, 2, 4, 1, 3, 2, 3] pubkeycol514 = [0, 0, 4, 2, 0, 4, 0, 3, 2, 3, 1, 1, 3, 2, 3, 2, 0, 4, 1, 4, 4, 4, 4, 4, 4, 1, 3, 2, 2, 2, 0, 3, 2, 4, 4, 1, 0, 3, 2, 4, 1, 4, 2, 0, 1, 1, 1, 2, 4, 3, 1, 2, 1, 1, 2, 0, 2, 2, 3, 0, 4, 2, 1, 4, 3, 0, 3, 3, 2, 0, 3, 0, 4, 1, 4, 4, 4, 3, 1, 2, 3, 2, 0, 2, 2, 0, 2, 0, 0, 3, 0, 4, 2, 4, 1, 1, 0, 2, 4, 3, 4, 3, 2, 4, 3, 4, 3, 4, 3, 3, 0, 2, 0, 2, 3, 3, 1, 0, 0, 2, 0, 3, 2, 4, 1, 2, 0, 0, 4, 1, 2, 1, 3, 2, 4, 4, 0, 1, 4, 3, 4, 0, 4, 3, 2, 0, 3, 2, 3, 3, 2, 1, 0, 1, 3, 4, 3, 1, 3, 4, 3, 4, 1, 2, 0, 1, 3, 1, 0, 1, 0, 3, 2, 2, 1, 0, 0, 2, 1, 1, 0, 3, 2, 1, 4, 4, 4, 2, 0, 2, 4, 4, 4, 4, 4, 2, 2, 1, 4, 2, 3, 2, 1, 3, 1, 1, 1, 1, 2, 3, 3, 0, 4, 4, 2, 3, 4, 1, 4, 4, 4, 3, 1, 4, 3, 3, 4, 2, 4, 4, 3, 3, 3, 1, 1, 4, 1, 1, 2, 0, 4, 1, 3, 1, 4, 3, 0, 3, 1, 3, 2, 0, 0, 0, 2, 1, 3, 2, 0, 3, 3, 0, 4, 1, 0, 4, 0, 4, 0, 3, 3, 1, 4, 2, 2, 1, 4, 1, 1, 2, 3, 3, 2, 3, 2, 2, 1, 2, 0, 0, 2, 3, 2, 0, 2, 0, 3, 3, 2, 4, 4, 1, 1, 0, 1, 4, 1, 4, 2, 2, 4, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 3, 0, 3, 1, 2, 0, 4, 1, 0, 0, 1, 3, 4, 3, 3, 2, 0, 2, 1, 3, 3, 2, 3, 2, 3, 2, 4, 1, 2, 0, 3, 3, 4, 4, 1, 4, 3, 0, 0, 4, 4, 0, 1, 4, 3, 3, 4, 1, 3, 4, 0, 2, 4, 0, 0, 4, 3, 3, 1, 1, 1, 3, 3, 3, 1, 3, 0, 4, 0, 0, 0, 4, 0, 2, 3, 0, 4, 3, 1, 4, 4, 4, 0, 4, 4, 4, 1, 1, 3, 1, 1, 2, 3, 1, 0, 1, 4, 1, 4, 1, 2, 1, 1, 4, 2, 4, 1, 2, 2, 3, 2, 0, 0, 0, 0, 1, 2, 0, 0, 3, 4, 1, 0, 0, 0, 0, 0, 4, 3, 3, 0, 2, 3, 2, 3, 4, 1, 1, 2, 2, 1, 4, 4, 0, 1, 0, 4, 4, 0, 4, 4, 1, 0, 1, 3, 0] pubkeycol515 = [0, 3, 2, 1, 3, 1, 0, 3, 0, 3, 4, 3, 2, 3, 3, 2, 2, 0, 3, 2, 2, 0, 2, 2, 1, 3, 4, 1, 3, 2, 4, 0, 3, 1, 0, 3, 4, 1, 1, 3, 2, 2, 0, 4, 0, 2, 2, 3, 2, 4, 4, 1, 1, 4, 3, 2, 0, 1, 0, 4, 2, 0, 2, 2, 0, 4, 0, 3, 2, 1, 2, 4, 4, 3, 4, 3, 0, 0, 3, 1, 0, 1, 4, 4, 0, 3, 4, 2, 2, 0, 2, 0, 0, 4, 4, 4, 0, 1, 1, 0, 4, 2, 3, 0, 0, 0, 4, 1, 0, 2, 3, 2, 1, 1, 1, 0, 1, 3, 3, 2, 0, 2, 4, 1, 4, 0, 3, 2, 3, 4, 0, 4, 4, 4, 1, 4, 4, 1, 0, 4, 0, 0, 0, 1, 4, 2, 4, 3, 1, 4, 3, 2, 2, 1, 2, 2, 3, 1, 1, 0, 0, 4, 4, 0, 2, 2, 2, 3, 2, 4, 2, 4, 3, 1, 1, 0, 4, 4, 3, 1, 0, 2, 4, 4, 1, 0, 0, 3, 0, 3, 4, 1, 3, 1, 3, 0, 4, 2, 0, 2, 3, 3, 4, 1, 3, 2, 2, 4, 1, 2, 2, 2, 2, 4, 0, 2, 1, 2, 4, 2, 1, 1, 3, 4, 2, 1, 2, 4, 3, 1, 3, 2, 3, 1, 1, 3, 0, 0, 1, 3, 0, 0, 3, 0, 0, 3, 2, 0, 1, 3, 2, 0, 1, 3, 4, 2, 2, 3, 3, 0, 4, 0, 2, 3, 4, 1, 2, 3, 2, 0, 3, 4, 0, 4, 2, 2, 4, 1, 0, 1, 3, 3, 3, 0, 2, 1, 1, 2, 2, 0, 2, 3, 1, 4, 1, 4, 2, 0, 1, 4, 1, 3, 3, 1, 2, 4, 1, 2, 1, 1, 4, 3, 2, 2, 3, 2, 3, 1, 0, 2, 3, 0, 0, 1, 3, 4, 1, 0, 0, 2, 2, 0, 4, 4, 4, 2, 2, 0, 1, 4, 1, 2, 2, 1, 3, 1, 2, 2, 4, 3, 2, 0, 3, 1, 1, 4, 1, 4, 3, 2, 2, 0, 3, 0, 1, 0, 4, 4, 1, 0, 1, 0, 0, 3, 1, 2, 3, 1, 3, 0, 4, 3, 4, 2, 1, 2, 2, 2, 0, 3, 1, 0, 4, 3, 1, 0, 4, 2, 1, 1, 0, 2, 3, 4, 3, 1, 4, 4, 4, 2, 3, 3, 2, 4, 4, 2, 0, 3, 1, 1, 2, 0, 3, 3, 0, 0, 4, 2, 1, 2, 4, 4, 3, 4, 3, 2, 4, 3, 1, 3, 1, 1, 4, 3, 4, 1, 2, 4, 0, 0, 2, 3, 4, 2, 0, 1, 1, 3, 3, 4, 0, 0, 2, 4, 4, 4, 3, 2, 2, 3, 3, 0, 3, 4, 0, 0, 0, 2, 3, 3] pubkeycol516 = [2, 1, 0, 1, 4, 0, 0, 4, 3, 3, 2, 1, 4, 2, 4, 4, 4, 1, 3, 2, 1, 0, 1, 1, 0, 0, 0, 4, 4, 2, 3, 3, 3, 2, 4, 3, 0, 3, 2, 4, 0, 2, 0, 2, 0, 4, 4, 2, 3, 0, 1, 2, 4, 4, 1, 0, 3, 1, 0, 4, 1, 4, 0, 3, 2, 4, 3, 0, 1, 0, 1, 3, 4, 4, 1, 0, 3, 2, 2, 4, 2, 4, 1, 3, 3, 4, 0, 2, 3, 3, 4, 2, 4, 4, 2, 4, 4, 0, 4, 0, 0, 3, 1, 2, 0, 4, 1, 4, 2, 0, 3, 0, 1, 0, 0, 1, 4, 3, 0, 2, 3, 3, 4, 1, 0, 4, 3, 0, 1, 4, 3, 2, 0, 4, 1, 2, 4, 2, 3, 4, 1, 4, 0, 2, 0, 3, 0, 2, 4, 2, 1, 4, 3, 4, 2, 2, 3, 2, 0, 1, 3, 2, 4, 2, 0, 2, 1, 0, 0, 1, 2, 2, 3, 1, 2, 4, 1, 4, 2, 1, 1, 0, 1, 4, 3, 0, 0, 3, 4, 4, 3, 2, 1, 0, 2, 1, 4, 0, 4, 3, 0, 2, 1, 3, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 3, 1, 2, 3, 2, 4, 1, 0, 4, 4, 4, 0, 1, 0, 3, 1, 0, 1, 2, 4, 2, 1, 4, 0, 4, 2, 1, 2, 4, 0, 3, 4, 4, 4, 1, 4, 1, 2, 1, 2, 2, 1, 2, 3, 3, 4, 3, 3, 4, 1, 4, 0, 1, 4, 1, 1, 0, 1, 1, 4, 1, 4, 3, 3, 1, 3, 4, 4, 1, 2, 1, 0, 4, 0, 2, 0, 2, 2, 2, 4, 1, 2, 0, 0, 3, 1, 3, 3, 0, 3, 3, 2, 1, 2, 2, 4, 3, 2, 0, 2, 3, 2, 0, 4, 0, 3, 3, 0, 2, 1, 2, 0, 3, 0, 2, 2, 0, 1, 4, 2, 2, 1, 2, 4, 0, 3, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 0, 4, 1, 3, 4, 0, 4, 1, 1, 1, 0, 0, 3, 3, 2, 2, 4, 2, 2, 2, 2, 0, 1, 2, 0, 3, 2, 4, 2, 1, 0, 4, 3, 2, 1, 4, 1, 4, 1, 3, 3, 4, 2, 1, 3, 3, 0, 3, 3, 2, 1, 1, 2, 4, 0, 3, 3, 1, 2, 3, 1, 1, 3, 2, 1, 0, 2, 2, 2, 3, 4, 4, 0, 4, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 3, 0, 2, 4, 0, 3, 0, 2, 4, 3, 2, 4, 1, 2, 4, 3, 3, 3, 4, 3, 2, 1, 2, 0, 2, 3, 2, 4, 4, 3, 2, 2, 1, 1, 4, 1, 1, 0, 3, 1, 3, 0] pubkeycol517 = [1, 4, 2, 1, 2, 0, 2, 4, 4, 4, 0, 4, 0, 3, 3, 2, 0, 4, 4, 4, 3, 4, 2, 4, 0, 2, 0, 1, 0, 3, 4, 1, 1, 0, 0, 4, 2, 0, 0, 0, 1, 0, 4, 4, 4, 4, 2, 0, 1, 4, 2, 4, 4, 4, 4, 1, 2, 3, 1, 0, 4, 1, 3, 3, 1, 1, 3, 3, 2, 3, 3, 1, 3, 3, 4, 1, 1, 2, 4, 3, 0, 1, 4, 2, 0, 1, 3, 1, 0, 4, 4, 2, 0, 1, 3, 4, 0, 4, 0, 2, 4, 2, 1, 4, 1, 4, 0, 1, 3, 3, 0, 1, 4, 3, 2, 0, 3, 4, 3, 1, 0, 1, 4, 0, 1, 4, 0, 0, 0, 3, 4, 2, 2, 2, 1, 3, 2, 3, 3, 3, 1, 4, 1, 2, 2, 4, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 2, 3, 2, 1, 2, 2, 1, 4, 4, 4, 0, 1, 4, 2, 0, 0, 4, 2, 3, 0, 3, 2, 1, 4, 4, 2, 2, 1, 0, 4, 0, 0, 0, 4, 3, 0, 0, 0, 4, 2, 1, 0, 2, 2, 0, 0, 1, 1, 4, 4, 2, 0, 4, 3, 4, 4, 1, 4, 0, 1, 3, 1, 0, 2, 1, 2, 3, 0, 2, 3, 4, 2, 3, 2, 4, 1, 2, 3, 4, 4, 4, 2, 0, 1, 0, 0, 2, 4, 3, 4, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 4, 4, 4, 0, 3, 3, 4, 2, 4, 2, 1, 4, 3, 1, 2, 1, 0, 4, 2, 0, 4, 3, 3, 0, 1, 2, 4, 3, 0, 4, 2, 3, 3, 2, 2, 3, 0, 3, 0, 2, 3, 1, 1, 1, 2, 4, 0, 0, 4, 3, 2, 0, 0, 2, 1, 0, 0, 4, 4, 3, 0, 3, 1, 4, 0, 2, 0, 4, 1, 0, 0, 0, 0, 4, 3, 4, 4, 1, 4, 0, 3, 0, 0, 0, 3, 1, 0, 3, 4, 0, 1, 1, 1, 2, 0, 2, 3, 4, 4, 0, 2, 4, 1, 4, 0, 1, 1, 3, 2, 3, 3, 4, 4, 1, 3, 1, 0, 2, 0, 4, 2, 4, 2, 3, 4, 1, 4, 0, 1, 4, 4, 4, 3, 0, 2, 1, 0, 3, 1, 3, 1, 1, 2, 1, 3, 2, 2, 2, 0, 1, 4, 3, 2, 1, 3, 1, 1, 0, 4, 0, 1, 2, 2, 0, 3, 2, 4, 1, 0, 3, 1, 4, 0, 2, 4, 3, 2, 4, 3, 4, 3, 4, 1, 1, 0, 1, 1, 4, 4, 2, 2, 1, 0, 0, 0, 1, 3, 1, 4, 1, 1, 2, 2, 3, 2, 0, 4, 3, 1, 1, 2, 2, 0, 0, 0, 0, 4, 0, 1, 3, 3, 0, 3, 4] pubkeycol518 = [0, 0, 3, 2, 3, 0, 4, 3, 3, 4, 0, 3, 4, 3, 1, 1, 4, 3, 4, 4, 2, 2, 0, 1, 1, 4, 4, 1, 4, 2, 3, 3, 2, 1, 3, 4, 1, 1, 0, 0, 4, 3, 2, 1, 2, 0, 1, 4, 3, 2, 3, 3, 2, 1, 1, 0, 4, 4, 0, 1, 3, 4, 2, 4, 0, 2, 1, 4, 2, 3, 4, 4, 3, 0, 2, 1, 1, 4, 1, 0, 4, 4, 3, 1, 1, 1, 3, 4, 2, 2, 2, 4, 1, 4, 1, 0, 1, 0, 1, 3, 4, 4, 2, 0, 4, 3, 3, 0, 0, 1, 3, 4, 2, 0, 3, 2, 3, 0, 0, 0, 2, 0, 4, 1, 1, 1, 2, 3, 1, 1, 4, 2, 4, 4, 0, 3, 2, 4, 3, 0, 1, 0, 1, 0, 1, 4, 0, 4, 2, 4, 2, 4, 2, 3, 4, 3, 3, 1, 4, 2, 4, 3, 4, 3, 3, 1, 2, 2, 2, 4, 2, 1, 3, 0, 3, 1, 3, 1, 2, 1, 2, 3, 4, 0, 4, 3, 4, 2, 0, 4, 2, 0, 4, 2, 2, 0, 2, 3, 1, 2, 1, 1, 0, 0, 1, 3, 1, 0, 0, 1, 0, 3, 3, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 3, 1, 4, 3, 3, 2, 3, 4, 2, 4, 2, 0, 1, 1, 1, 3, 4, 4, 0, 4, 1, 3, 4, 0, 1, 4, 3, 0, 4, 1, 1, 4, 1, 3, 0, 0, 4, 4, 2, 3, 0, 2, 3, 0, 4, 1, 1, 4, 2, 0, 3, 0, 0, 2, 2, 1, 2, 1, 4, 0, 4, 2, 2, 0, 4, 4, 0, 4, 0, 1, 1, 2, 3, 2, 3, 4, 1, 4, 0, 4, 4, 2, 0, 0, 1, 4, 3, 2, 3, 2, 2, 2, 3, 1, 0, 3, 3, 2, 4, 2, 3, 3, 1, 1, 2, 2, 0, 0, 0, 4, 1, 2, 0, 0, 0, 2, 4, 2, 4, 4, 0, 0, 3, 2, 4, 3, 0, 0, 1, 4, 3, 3, 3, 0, 2, 0, 0, 2, 2, 4, 0, 2, 4, 1, 4, 3, 0, 3, 4, 4, 0, 3, 0, 2, 1, 1, 4, 4, 3, 1, 0, 0, 1, 2, 4, 3, 1, 3, 1, 2, 2, 2, 1, 2, 0, 2, 2, 4, 1, 4, 1, 0, 3, 2, 3, 0, 4, 1, 0, 2, 3, 1, 2, 3, 4, 2, 3, 0, 4, 1, 2, 2, 0, 3, 0, 1, 0, 2, 2, 0, 3, 1, 0, 2, 0, 4, 2, 3, 0, 0, 3, 2, 3, 4, 2, 1, 0, 0, 1, 0, 1, 4, 0, 1, 3, 4, 1, 4, 2, 1, 2, 4, 2, 0, 1, 0, 1, 3, 3, 3, 4, 0, 0, 1, 2, 0] pubkeycol519 = [1, 3, 2, 4, 3, 3, 4, 3, 1, 2, 2, 3, 3, 0, 3, 2, 4, 2, 1, 0, 0, 2, 1, 3, 4, 3, 4, 3, 2, 0, 2, 3, 1, 0, 1, 3, 3, 0, 1, 4, 3, 4, 1, 4, 2, 4, 0, 3, 0, 4, 0, 2, 1, 4, 1, 4, 0, 4, 1, 1, 1, 2, 1, 3, 1, 3, 2, 1, 4, 1, 4, 3, 4, 3, 3, 2, 0, 0, 2, 4, 2, 2, 3, 0, 2, 0, 3, 4, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 4, 1, 4, 2, 1, 3, 1, 0, 0, 2, 0, 3, 3, 4, 4, 1, 1, 1, 4, 0, 2, 3, 2, 4, 2, 4, 1, 2, 2, 2, 2, 2, 0, 4, 0, 4, 2, 4, 0, 1, 2, 1, 0, 0, 2, 3, 3, 3, 0, 2, 4, 0, 2, 0, 1, 1, 2, 1, 2, 4, 2, 4, 1, 2, 0, 2, 3, 2, 2, 1, 0, 3, 1, 0, 2, 1, 4, 4, 0, 0, 3, 2, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 3, 1, 2, 2, 0, 3, 1, 0, 2, 0, 1, 2, 4, 1, 2, 2, 4, 3, 2, 0, 1, 3, 1, 0, 0, 1, 4, 4, 0, 3, 0, 0, 1, 2, 4, 3, 0, 1, 4, 4, 4, 4, 2, 2, 2, 1, 3, 0, 3, 2, 1, 3, 2, 1, 0, 1, 4, 3, 0, 0, 2, 2, 4, 0, 1, 1, 4, 3, 3, 0, 3, 2, 2, 3, 2, 1, 3, 2, 1, 1, 0, 2, 1, 3, 3, 0, 2, 4, 0, 3, 0, 0, 2, 3, 1, 3, 4, 3, 2, 2, 3, 4, 3, 2, 4, 4, 1, 3, 3, 1, 3, 2, 3, 3, 4, 3, 4, 2, 3, 2, 1, 0, 3, 1, 3, 0, 3, 0, 0, 2, 0, 4, 3, 0, 4, 0, 4, 4, 1, 1, 4, 2, 0, 0, 3, 2, 3, 4, 0, 1, 1, 3, 4, 1, 3, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 3, 0, 4, 3, 1, 4, 1, 4, 4, 4, 1, 4, 4, 1, 3, 3, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 3, 1, 3, 2, 2, 4, 3, 3, 4, 4, 4, 0, 4, 3, 3, 1, 0, 2, 2, 4, 3, 3, 0, 3, 2, 4, 3, 3, 3, 3, 2, 2, 0, 3, 3, 1, 3, 3, 3, 3, 4, 2, 0, 3, 0, 3, 3, 3, 0, 3, 3, 4, 3, 3, 4, 4, 2, 3, 2, 4, 0, 3, 4, 1, 4, 3, 3, 1, 2, 1, 2, 0, 1, 3, 1, 2, 1, 3, 1, 0, 0, 2, 2, 4, 4, 2, 0, 2, 1, 0, 4, 3, 0, 2, 3, 3, 2] pubkeycol520 = [2, 1, 4, 2, 1, 2, 2, 0, 3, 4, 1, 4, 2, 4, 2, 3, 4, 0, 0, 0, 3, 0, 1, 2, 1, 0, 3, 2, 0, 3, 0, 0, 4, 4, 1, 2, 3, 3, 3, 2, 1, 3, 2, 1, 3, 4, 4, 4, 2, 1, 1, 1, 1, 4, 4, 0, 1, 3, 1, 0, 4, 2, 3, 1, 0, 2, 2, 0, 4, 3, 1, 0, 2, 3, 0, 0, 2, 1, 2, 2, 0, 4, 1, 4, 3, 1, 4, 0, 3, 3, 1, 0, 4, 1, 2, 0, 2, 4, 2, 4, 0, 0, 3, 4, 3, 4, 4, 4, 1, 1, 4, 1, 2, 0, 1, 4, 3, 3, 2, 2, 1, 4, 2, 4, 2, 0, 4, 0, 0, 1, 3, 4, 3, 0, 4, 0, 2, 1, 4, 4, 4, 4, 0, 2, 0, 4, 4, 1, 1, 2, 3, 3, 3, 4, 0, 4, 4, 2, 3, 0, 2, 4, 0, 2, 4, 2, 1, 4, 3, 2, 4, 3, 2, 4, 1, 2, 0, 4, 4, 4, 1, 3, 4, 3, 3, 0, 1, 1, 4, 4, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 4, 4, 3, 3, 2, 4, 3, 3, 4, 3, 1, 3, 2, 2, 4, 4, 1, 2, 0, 3, 2, 4, 4, 0, 2, 0, 4, 2, 0, 3, 0, 3, 2, 1, 3, 2, 0, 4, 4, 3, 3, 2, 4, 3, 2, 1, 0, 0, 1, 0, 3, 1, 1, 4, 0, 2, 2, 3, 2, 2, 0, 0, 3, 3, 0, 0, 0, 3, 2, 1, 3, 1, 0, 0, 3, 4, 3, 2, 0, 0, 2, 2, 2, 1, 2, 3, 0, 4, 2, 4, 4, 1, 4, 0, 0, 0, 2, 3, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 4, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 3, 0, 4, 2, 4, 1, 2, 0, 2, 0, 2, 3, 4, 4, 0, 1, 0, 3, 3, 2, 2, 0, 2, 0, 1, 2, 4, 4, 1, 1, 2, 2, 1, 2, 3, 3, 2, 4, 2, 1, 4, 4, 0, 3, 3, 4, 2, 4, 0, 3, 1, 0, 3, 0, 3, 0, 2, 3, 4, 0, 0, 2, 0, 3, 1, 2, 0, 0, 0, 1, 3, 3, 1, 2, 4, 2, 4, 0, 1, 2, 2, 4, 2, 4, 1, 1, 4, 0, 2, 4, 1, 4, 4, 4, 3, 2, 1, 1, 2, 2, 0, 4, 0, 1, 1, 2, 2, 3, 4, 0, 2, 4, 1, 4, 0, 4, 1, 0, 2, 1, 0, 0, 2, 4, 3, 1, 3, 4, 3, 4, 2, 4, 0, 1, 3, 4, 4, 0, 1, 4, 2, 1, 1, 4, 3, 2, 0, 0, 4, 1, 0, 0, 1, 0, 3, 2, 2, 1, 2] pubkeycol521 = [3, 2, 0, 4, 3, 4, 1, 2, 2, 3, 2, 3, 0, 0, 3, 4, 3, 4, 0, 4, 2, 0, 0, 3, 1, 3, 0, 1, 1, 3, 0, 2, 3, 4, 2, 1, 1, 3, 4, 2, 3, 3, 4, 4, 0, 4, 2, 1, 3, 1, 0, 4, 1, 3, 0, 3, 3, 3, 0, 0, 1, 2, 0, 0, 4, 4, 3, 3, 3, 2, 4, 1, 2, 1, 1, 0, 1, 1, 3, 2, 2, 4, 4, 3, 1, 4, 4, 2, 2, 1, 3, 2, 4, 4, 3, 3, 0, 2, 4, 1, 3, 3, 2, 3, 3, 4, 4, 1, 1, 2, 1, 3, 2, 0, 0, 2, 0, 3, 1, 3, 2, 4, 3, 1, 2, 0, 2, 1, 2, 4, 4, 1, 4, 4, 3, 2, 0, 0, 2, 1, 0, 1, 4, 3, 3, 2, 2, 1, 3, 0, 0, 1, 4, 3, 3, 4, 0, 4, 4, 0, 2, 1, 3, 2, 3, 4, 1, 0, 0, 3, 3, 4, 4, 1, 3, 2, 4, 1, 0, 0, 2, 0, 0, 3, 2, 2, 1, 2, 0, 4, 3, 1, 0, 0, 2, 3, 0, 0, 3, 0, 4, 1, 4, 3, 1, 0, 4, 2, 3, 1, 3, 2, 3, 0, 4, 3, 0, 3, 0, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 3, 2, 2, 1, 0, 2, 0, 0, 4, 2, 2, 4, 0, 4, 2, 2, 2, 3, 3, 2, 1, 3, 4, 1, 0, 4, 4, 4, 1, 0, 1, 2, 0, 0, 3, 1, 4, 0, 0, 0, 0, 0, 4, 0, 1, 3, 0, 3, 4, 2, 0, 1, 4, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 2, 4, 3, 4, 2, 4, 2, 1, 4, 3, 3, 3, 2, 4, 0, 0, 2, 2, 1, 1, 2, 1, 1, 4, 1, 1, 1, 0, 2, 1, 4, 2, 0, 3, 0, 0, 1, 3, 4, 2, 4, 3, 1, 1, 0, 0, 0, 1, 1, 1, 4, 1, 1, 2, 4, 3, 3, 4, 0, 1, 2, 1, 1, 0, 2, 2, 4, 2, 1, 4, 4, 3, 0, 2, 2, 1, 3, 1, 2, 4, 1, 4, 4, 2, 3, 1, 2, 0, 4, 1, 1, 0, 4, 4, 3, 0, 3, 4, 2, 3, 4, 4, 3, 3, 3, 0, 3, 0, 2, 2, 4, 3, 0, 2, 4, 3, 4, 1, 3, 1, 4, 1, 2, 0, 0, 4, 0, 3, 3, 0, 0, 0, 0, 4, 3, 2, 1, 3, 3, 0, 0, 2, 1, 4, 1, 2, 4, 4, 0, 3, 1, 3, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 3, 2, 2, 1, 4, 1, 2, 1, 1, 3, 3, 2, 4, 2, 4, 0, 4, 4, 0, 1, 0] pubkeycol522 = [1, 4, 3, 0, 4, 3, 3, 2, 0, 2, 0, 1, 4, 3, 3, 1, 0, 0, 2, 4, 2, 4, 1, 3, 1, 0, 1, 1, 1, 2, 3, 1, 0, 4, 2, 2, 1, 3, 2, 3, 1, 2, 3, 4, 0, 1, 4, 2, 4, 4, 1, 4, 4, 4, 2, 2, 1, 4, 2, 2, 0, 0, 1, 4, 0, 0, 2, 3, 2, 4, 2, 0, 2, 2, 3, 1, 4, 2, 3, 3, 1, 4, 1, 0, 4, 3, 1, 1, 0, 4, 0, 1, 1, 1, 0, 3, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 3, 3, 2, 2, 4, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 3, 3, 2, 1, 3, 1, 2, 4, 4, 0, 0, 2, 0, 2, 0, 0, 2, 3, 0, 4, 2, 4, 0, 4, 4, 0, 0, 2, 2, 4, 0, 1, 4, 0, 2, 1, 4, 0, 4, 0, 1, 2, 4, 3, 0, 4, 3, 1, 3, 3, 3, 0, 2, 3, 0, 1, 2, 2, 0, 4, 4, 0, 2, 1, 3, 2, 1, 2, 0, 4, 3, 1, 1, 4, 1, 1, 2, 0, 4, 0, 3, 4, 4, 1, 3, 2, 0, 1, 2, 0, 2, 2, 4, 4, 4, 4, 2, 4, 1, 4, 3, 4, 2, 3, 0, 2, 4, 3, 4, 3, 1, 0, 0, 0, 0, 3, 0, 0, 1, 1, 4, 2, 3, 2, 4, 3, 1, 2, 3, 4, 2, 2, 3, 1, 0, 0, 0, 2, 3, 2, 1, 2, 1, 3, 2, 4, 3, 3, 4, 1, 4, 0, 1, 2, 0, 3, 4, 1, 3, 2, 2, 0, 3, 4, 1, 2, 2, 2, 3, 2, 1, 1, 2, 4, 2, 3, 4, 0, 1, 2, 2, 1, 3, 3, 4, 4, 3, 4, 2, 2, 1, 0, 4, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 3, 4, 1, 0, 4, 4, 1, 2, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 2, 4, 3, 0, 0, 2, 0, 2, 0, 3, 3, 3, 1, 4, 1, 1, 4, 0, 3, 2, 4, 1, 2, 3, 4, 4, 3, 2, 4, 3, 1, 0, 4, 1, 1, 3, 2, 1, 3, 2, 2, 1, 4, 4, 2, 2, 2, 3, 3, 0, 2, 2, 2, 3, 0, 2, 3, 1, 2, 0, 0, 1, 2, 3, 0, 0, 3, 0, 2, 4, 2, 0, 2, 1, 4, 3, 3, 4, 2, 3, 4, 0, 1, 4, 1, 0, 1, 4, 3, 2, 0, 1, 2, 4, 3, 0, 3, 0, 3, 2, 0, 0, 2, 1, 4, 1, 2, 3, 0, 0, 2, 0, 4, 4, 0, 1, 4, 4, 1, 4, 4, 0, 1, 2, 1, 4, 0, 2, 4, 0, 3, 1, 0, 0] pubkeycol523 = [4, 0, 2, 4, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 4, 4, 2, 4, 0, 1, 0, 3, 1, 3, 2, 1, 2, 1, 1, 2, 2, 3, 3, 1, 0, 3, 3, 2, 3, 3, 0, 0, 4, 2, 3, 0, 1, 4, 4, 3, 3, 3, 1, 0, 4, 3, 3, 0, 0, 3, 1, 3, 4, 2, 1, 3, 1, 3, 0, 1, 3, 3, 2, 3, 0, 3, 1, 2, 2, 4, 2, 4, 0, 3, 2, 2, 0, 2, 4, 3, 1, 4, 1, 1, 3, 3, 0, 1, 2, 3, 4, 1, 0, 1, 3, 2, 3, 3, 1, 1, 0, 3, 0, 3, 1, 2, 2, 2, 1, 3, 4, 3, 3, 2, 1, 3, 4, 3, 2, 4, 2, 3, 2, 0, 4, 0, 0, 3, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 3, 4, 4, 1, 0, 4, 2, 3, 4, 3, 2, 1, 2, 1, 1, 0, 3, 1, 3, 4, 2, 0, 0, 0, 2, 1, 2, 3, 3, 0, 3, 1, 0, 0, 2, 0, 1, 1, 1, 4, 3, 4, 2, 2, 2, 2, 0, 2, 3, 2, 3, 1, 1, 0, 3, 0, 4, 3, 3, 1, 4, 4, 2, 0, 0, 0, 1, 2, 0, 4, 0, 3, 3, 1, 1, 2, 3, 2, 1, 3, 0, 3, 1, 4, 3, 4, 1, 3, 3, 0, 3, 4, 1, 0, 4, 1, 1, 3, 1, 4, 2, 2, 1, 0, 0, 0, 0, 1, 1, 3, 0, 2, 3, 2, 4, 0, 0, 2, 4, 3, 3, 2, 1, 4, 0, 0, 2, 2, 4, 1, 0, 2, 3, 0, 3, 1, 0, 4, 2, 4, 3, 0, 4, 1, 4, 4, 4, 3, 1, 3, 1, 4, 3, 0, 3, 2, 2, 4, 3, 3, 2, 2, 2, 2, 3, 3, 4, 1, 1, 1, 4, 4, 2, 1, 2, 4, 3, 1, 0, 4, 3, 1, 3, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 4, 0, 0, 2, 0, 1, 4, 1, 4, 4, 4, 4, 1, 3, 2, 0, 3, 1, 0, 0, 2, 0, 3, 2, 4, 4, 3, 3, 1, 1, 1, 4, 1, 2, 1, 2, 2, 4, 0, 0, 0, 2, 4, 4, 0, 0, 2, 4, 2, 1, 0, 0, 0, 4, 2, 1, 2, 0, 1, 2, 0, 2, 3, 4, 4, 4, 2, 3, 4, 3, 1, 1, 3, 4, 2, 2, 3, 3, 0, 3, 1, 4, 1, 0, 1, 1, 0, 0, 0, 0, 1, 4, 1, 3, 3, 1, 0, 4, 1, 3, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 3, 2, 3, 3, 1, 4, 3, 2, 1, 0, 0, 0, 4, 0, 2, 4, 1, 2, 1, 1] pubkeycol524 = [1, 1, 2, 4, 1, 0, 0, 0, 0, 1, 3, 2, 1, 3, 2, 1, 0, 3, 4, 2, 2, 1, 3, 2, 4, 4, 2, 3, 1, 1, 1, 0, 0, 1, 2, 0, 4, 1, 2, 2, 0, 4, 0, 1, 2, 3, 3, 0, 2, 3, 1, 3, 3, 1, 1, 0, 1, 4, 1, 4, 2, 2, 1, 3, 1, 4, 3, 2, 3, 3, 2, 4, 3, 1, 0, 4, 2, 4, 3, 1, 1, 2, 3, 1, 0, 4, 3, 1, 3, 1, 2, 4, 2, 2, 2, 3, 0, 0, 3, 4, 2, 3, 4, 1, 0, 3, 3, 0, 3, 3, 4, 1, 1, 3, 0, 1, 4, 4, 4, 0, 1, 0, 1, 0, 4, 1, 2, 2, 1, 3, 2, 0, 4, 3, 4, 1, 3, 4, 1, 3, 0, 3, 4, 1, 1, 2, 3, 1, 0, 2, 3, 2, 4, 3, 2, 0, 4, 4, 1, 1, 3, 1, 4, 4, 1, 4, 3, 3, 4, 4, 0, 1, 1, 2, 3, 0, 3, 4, 0, 3, 1, 1, 4, 3, 0, 3, 1, 4, 2, 1, 4, 3, 0, 0, 0, 3, 1, 2, 3, 1, 3, 3, 0, 1, 2, 3, 3, 4, 3, 0, 2, 1, 4, 4, 3, 2, 2, 0, 3, 3, 1, 1, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 4, 2, 3, 0, 1, 4, 3, 1, 1, 4, 4, 2, 3, 3, 2, 1, 1, 2, 3, 0, 2, 1, 3, 1, 4, 1, 2, 4, 1, 4, 3, 2, 3, 1, 0, 2, 0, 2, 4, 4, 4, 3, 0, 2, 4, 0, 2, 1, 1, 3, 1, 4, 2, 3, 4, 2, 2, 2, 1, 4, 1, 2, 0, 0, 2, 2, 0, 1, 4, 2, 0, 2, 1, 0, 1, 4, 0, 1, 3, 1, 0, 1, 3, 1, 0, 2, 1, 3, 0, 0, 2, 0, 4, 0, 1, 2, 4, 3, 2, 0, 2, 2, 3, 4, 1, 4, 0, 1, 3, 3, 3, 3, 1, 4, 1, 4, 4, 0, 2, 3, 2, 2, 0, 1, 0, 3, 3, 4, 1, 1, 3, 3, 1, 2, 4, 3, 2, 2, 2, 4, 4, 3, 0, 0, 1, 4, 0, 2, 3, 3, 4, 2, 3, 1, 3, 4, 2, 0, 2, 3, 0, 4, 2, 1, 1, 1, 2, 2, 3, 0, 1, 4, 0, 4, 4, 0, 1, 3, 1, 2, 3, 4, 3, 4, 0, 0, 3, 1, 0, 0, 1, 1, 1, 3, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 3, 4, 3, 2, 3, 3, 1, 4, 3, 1, 0, 0, 4, 0, 1, 3, 0, 4, 1, 0, 4, 0, 4, 4, 1, 2, 1, 3, 3, 3, 2, 1, 3, 4, 3, 4, 0, 0, 1, 0] pubkeycol525 = [0, 4, 2, 1, 0, 0, 2, 1, 3, 4, 3, 3, 2, 4, 0, 2, 1, 3, 4, 4, 2, 0, 1, 2, 3, 2, 2, 4, 3, 3, 0, 0, 1, 0, 0, 4, 3, 3, 4, 1, 4, 2, 4, 3, 1, 0, 3, 0, 0, 1, 2, 0, 2, 0, 2, 0, 3, 0, 4, 3, 2, 1, 1, 1, 3, 1, 1, 2, 2, 1, 1, 3, 0, 0, 4, 2, 2, 4, 1, 0, 0, 2, 1, 1, 2, 2, 3, 4, 2, 4, 0, 1, 2, 3, 3, 1, 2, 4, 3, 0, 1, 3, 0, 2, 2, 1, 1, 4, 3, 4, 4, 0, 3, 2, 2, 1, 3, 1, 2, 2, 0, 3, 1, 3, 3, 2, 1, 0, 3, 3, 4, 3, 3, 2, 2, 0, 0, 1, 3, 1, 1, 4, 4, 2, 4, 1, 4, 4, 2, 3, 2, 0, 2, 4, 2, 3, 3, 2, 0, 2, 4, 2, 2, 1, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 3, 3, 0, 2, 1, 2, 2, 0, 4, 4, 1, 4, 4, 4, 0, 2, 4, 1, 0, 4, 0, 1, 1, 1, 0, 3, 2, 0, 3, 0, 3, 2, 2, 2, 3, 1, 2, 4, 1, 3, 1, 0, 0, 4, 2, 2, 1, 3, 3, 0, 0, 4, 1, 4, 2, 4, 0, 3, 0, 3, 4, 3, 1, 0, 0, 2, 0, 3, 4, 3, 4, 4, 2, 3, 4, 1, 3, 2, 0, 1, 1, 1, 2, 4, 4, 0, 4, 4, 1, 3, 0, 0, 0, 3, 1, 2, 4, 1, 0, 4, 4, 1, 4, 1, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 2, 3, 4, 2, 4, 2, 2, 3, 3, 0, 2, 0, 2, 4, 0, 1, 0, 4, 2, 0, 4, 1, 0, 3, 4, 4, 4, 3, 3, 0, 0, 0, 0, 2, 1, 0, 4, 3, 0, 2, 2, 2, 4, 4, 1, 1, 0, 4, 4, 1, 0, 4, 3, 1, 3, 2, 0, 1, 0, 2, 3, 4, 2, 3, 4, 3, 0, 0, 4, 4, 1, 4, 2, 0, 4, 3, 2, 2, 0, 3, 4, 1, 1, 2, 4, 2, 1, 0, 2, 1, 1, 4, 1, 2, 2, 0, 3, 3, 1, 2, 1, 2, 0, 1, 0, 4, 0, 0, 2, 3, 2, 0, 1, 3, 1, 3, 1, 4, 0, 1, 1, 2, 0, 4, 1, 4, 1, 2, 1, 1, 0, 3, 0, 3, 4, 3, 4, 4, 4, 4, 2, 3, 4, 0, 1, 0, 2, 2, 1, 2, 1, 0, 4, 0, 2, 1, 2, 2, 4, 4, 2, 0, 0, 4, 0, 0, 4, 3, 4, 1, 2, 3, 3, 3, 0, 4, 3, 2, 3, 3] pubkeycol526 = [1, 0, 2, 0, 2, 0, 2, 2, 4, 2, 4, 1, 4, 4, 0, 0, 3, 3, 0, 4, 2, 2, 2, 4, 2, 0, 2, 1, 0, 3, 4, 0, 2, 1, 4, 2, 1, 0, 4, 2, 2, 4, 1, 0, 0, 1, 2, 2, 1, 4, 0, 0, 0, 2, 4, 4, 4, 2, 2, 2, 0, 1, 2, 4, 4, 2, 4, 3, 3, 3, 1, 3, 4, 3, 0, 3, 0, 4, 3, 1, 0, 0, 4, 3, 3, 4, 0, 0, 4, 3, 2, 1, 1, 4, 2, 1, 3, 4, 4, 4, 0, 1, 4, 1, 4, 0, 4, 3, 1, 4, 2, 2, 1, 0, 0, 0, 2, 4, 1, 2, 0, 4, 4, 0, 1, 2, 0, 1, 0, 1, 4, 2, 1, 2, 4, 4, 1, 1, 4, 0, 2, 4, 0, 3, 3, 3, 2, 2, 2, 0, 2, 2, 3, 0, 1, 2, 0, 4, 0, 0, 2, 1, 3, 4, 3, 0, 2, 3, 2, 0, 2, 0, 4, 0, 3, 3, 3, 0, 4, 4, 3, 4, 2, 4, 0, 2, 2, 1, 1, 3, 3, 4, 2, 2, 3, 2, 4, 0, 0, 4, 4, 4, 3, 4, 2, 0, 3, 1, 1, 2, 1, 1, 2, 4, 1, 4, 0, 3, 2, 4, 4, 3, 0, 1, 4, 1, 4, 1, 3, 3, 2, 4, 3, 1, 2, 4, 1, 2, 2, 0, 0, 1, 1, 3, 2, 1, 1, 0, 4, 2, 2, 3, 2, 3, 1, 4, 4, 2, 1, 4, 2, 0, 4, 3, 4, 2, 3, 1, 1, 4, 2, 2, 3, 0, 3, 3, 2, 0, 2, 0, 4, 3, 0, 4, 1, 3, 2, 1, 4, 1, 4, 2, 4, 2, 3, 4, 1, 1, 0, 4, 4, 4, 1, 3, 1, 3, 2, 1, 2, 4, 3, 0, 4, 4, 0, 1, 3, 2, 3, 3, 4, 0, 2, 0, 3, 1, 3, 2, 1, 3, 1, 0, 1, 3, 0, 0, 4, 1, 4, 3, 2, 3, 4, 3, 0, 4, 0, 2, 0, 1, 4, 0, 2, 1, 2, 0, 4, 1, 0, 3, 0, 4, 3, 0, 0, 3, 0, 3, 2, 4, 2, 4, 3, 2, 4, 3, 0, 2, 2, 4, 1, 0, 2, 4, 3, 3, 3, 1, 3, 0, 2, 2, 0, 3, 1, 4, 2, 0, 3, 0, 0, 1, 0, 4, 0, 2, 1, 2, 2, 4, 3, 3, 3, 4, 3, 2, 3, 2, 2, 0, 0, 1, 2, 3, 0, 4, 1, 3, 3, 0, 1, 1, 1, 4, 1, 4, 2, 3, 2, 4, 0, 2, 2, 2, 2, 3, 2, 0, 0, 3, 4, 3, 1, 2, 3, 4, 4, 4, 2, 2, 3, 4, 0, 2, 4, 2, 1, 2, 0, 4, 1, 3, 2, 2, 1, 0, 0, 2, 3, 3] pubkeycol527 = [2, 4, 2, 2, 2, 2, 3, 3, 4, 1, 2, 1, 2, 3, 4, 4, 4, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 0, 2, 0, 4, 0, 1, 4, 0, 3, 2, 4, 1, 4, 0, 1, 4, 1, 3, 4, 4, 0, 3, 0, 3, 4, 2, 3, 4, 3, 3, 1, 3, 0, 1, 0, 2, 4, 3, 4, 2, 3, 3, 1, 4, 0, 3, 3, 4, 3, 3, 4, 2, 1, 1, 2, 1, 1, 3, 4, 1, 3, 0, 3, 4, 1, 2, 1, 3, 3, 1, 1, 4, 1, 4, 3, 2, 0, 1, 2, 2, 3, 0, 4, 2, 4, 3, 4, 4, 2, 0, 0, 1, 0, 2, 2, 2, 3, 4, 2, 4, 2, 4, 1, 4, 0, 0, 3, 1, 0, 2, 0, 2, 3, 0, 0, 4, 0, 1, 1, 3, 4, 3, 4, 0, 1, 2, 3, 1, 1, 3, 4, 1, 2, 0, 2, 1, 1, 1, 1, 3, 0, 3, 2, 0, 4, 2, 3, 4, 2, 2, 1, 3, 0, 1, 3, 0, 1, 2, 4, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 4, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 4, 4, 3, 1, 2, 1, 2, 4, 4, 3, 2, 4, 2, 2, 1, 0, 4, 3, 3, 4, 0, 2, 4, 3, 4, 2, 0, 0, 1, 0, 4, 0, 1, 0, 4, 2, 1, 1, 4, 0, 4, 1, 1, 2, 3, 3, 4, 4, 0, 3, 1, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 0, 3, 1, 2, 1, 2, 0, 4, 4, 2, 1, 4, 0, 2, 3, 2, 2, 3, 1, 2, 4, 0, 3, 3, 2, 3, 2, 3, 1, 0, 2, 4, 0, 3, 1, 1, 2, 4, 4, 4, 3, 0, 1, 1, 3, 2, 1, 4, 0, 0, 3, 4, 1, 0, 4, 1, 4, 1, 4, 1, 4, 3, 4, 2, 3, 1, 2, 3, 4, 4, 4, 3, 3, 2, 4, 0, 0, 0, 2, 0, 3, 1, 3, 4, 4, 0, 1, 3, 2, 4, 1, 3, 0, 4, 4, 2, 0, 4, 0, 2, 3, 0, 1, 1, 1, 3, 4, 1, 3, 1, 0, 3, 1, 3, 2, 4, 2, 4, 4, 1, 4, 2, 3, 0, 2, 3, 1, 0, 1, 3, 0, 1, 1, 1, 0, 3, 3, 1, 2, 4, 2, 0, 2, 0, 4, 1, 2, 0, 2, 4, 1, 4, 3, 3, 2, 4, 1, 0, 3, 3, 1, 0, 3, 4, 0, 0, 3, 4, 1, 4, 1, 4, 4, 3, 1, 3, 2, 3, 3, 2, 2, 0, 0, 0, 2, 4, 0, 4, 2, 4, 3, 4, 2, 3, 3, 2, 1, 4, 1, 2, 3, 4, 3, 2, 3, 1, 4, 0, 2, 0] pubkeycol528 = [1, 2, 1, 1, 1, 0, 2, 4, 2, 0, 4, 1, 0, 4, 1, 2, 0, 4, 3, 2, 4, 2, 4, 0, 3, 2, 4, 4, 1, 2, 1, 2, 1, 2, 3, 3, 4, 3, 0, 0, 3, 1, 3, 1, 4, 4, 0, 3, 1, 0, 2, 0, 0, 1, 4, 3, 1, 4, 0, 3, 3, 2, 4, 4, 1, 2, 0, 2, 2, 1, 2, 1, 2, 4, 1, 0, 3, 4, 2, 4, 3, 1, 1, 3, 2, 2, 1, 4, 1, 2, 3, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 2, 4, 2, 2, 0, 2, 2, 0, 3, 3, 1, 0, 4, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 4, 4, 4, 2, 1, 1, 2, 1, 4, 4, 4, 0, 4, 4, 4, 2, 2, 0, 4, 1, 4, 2, 3, 2, 1, 2, 1, 4, 0, 4, 1, 1, 1, 4, 0, 4, 0, 2, 2, 0, 4, 3, 1, 0, 0, 3, 0, 0, 3, 3, 2, 2, 1, 4, 1, 0, 0, 4, 3, 2, 4, 3, 1, 4, 3, 1, 1, 1, 0, 3, 2, 1, 2, 3, 0, 4, 2, 0, 2, 4, 0, 0, 2, 2, 3, 1, 1, 4, 3, 0, 4, 1, 1, 1, 0, 0, 2, 3, 4, 4, 0, 1, 3, 0, 1, 1, 2, 1, 4, 2, 0, 4, 0, 2, 0, 2, 0, 4, 1, 0, 0, 1, 3, 3, 4, 0, 4, 3, 3, 1, 3, 2, 4, 3, 1, 2, 4, 0, 4, 2, 0, 4, 0, 3, 0, 3, 3, 0, 2, 4, 4, 3, 1, 1, 0, 0, 3, 1, 2, 4, 2, 4, 3, 4, 3, 2, 4, 2, 3, 3, 4, 3, 2, 2, 3, 0, 3, 3, 4, 3, 3, 0, 2, 2, 1, 4, 2, 4, 0, 1, 4, 4, 2, 4, 3, 1, 0, 1, 4, 1, 4, 1, 3, 0, 4, 4, 0, 3, 2, 0, 4, 3, 3, 2, 0, 3, 1, 0, 3, 1, 4, 3, 3, 3, 4, 2, 4, 4, 4, 2, 3, 4, 1, 4, 1, 0, 2, 2, 2, 0, 4, 3, 1, 1, 0, 4, 0, 2, 1, 4, 0, 3, 4, 3, 2, 1, 2, 2, 2, 0, 1, 3, 1, 4, 1, 4, 3, 4, 2, 4, 4, 3, 4, 4, 3, 2, 3, 1, 1, 1, 0, 3, 3, 4, 3, 0, 0, 2, 4, 0, 1, 3, 2, 4, 0, 4, 4, 2, 4, 4, 3, 3, 0, 4, 4, 0, 4, 0, 3, 4, 2, 2, 0, 2, 2, 3, 3, 2, 4, 4, 0, 0, 3, 2, 2, 4, 3, 1, 2, 1, 0, 2, 1, 0, 2, 2, 3, 4, 3, 2, 3, 4, 2, 4, 0, 0, 0, 1, 4, 3, 3, 1, 1] pubkeycol529 = [3, 0, 1, 1, 0, 2, 1, 4, 2, 4, 1, 4, 2, 1, 2, 2, 4, 4, 2, 2, 2, 0, 4, 2, 4, 3, 3, 2, 2, 0, 1, 1, 2, 3, 1, 0, 4, 3, 4, 1, 0, 1, 4, 3, 4, 3, 1, 1, 3, 4, 0, 2, 3, 3, 2, 0, 4, 2, 3, 3, 2, 3, 0, 1, 0, 1, 4, 4, 4, 0, 0, 0, 0, 2, 3, 0, 0, 0, 2, 3, 0, 0, 4, 0, 4, 1, 1, 0, 0, 4, 1, 4, 2, 4, 3, 4, 1, 0, 0, 3, 0, 1, 1, 0, 1, 0, 3, 2, 4, 0, 4, 2, 2, 4, 3, 2, 0, 2, 2, 3, 1, 0, 2, 4, 1, 2, 2, 3, 0, 3, 0, 4, 0, 2, 2, 3, 1, 0, 4, 3, 3, 3, 3, 4, 1, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 2, 0, 2, 2, 2, 0, 3, 1, 4, 1, 1, 1, 1, 4, 3, 0, 1, 3, 2, 3, 1, 3, 2, 0, 1, 2, 2, 3, 0, 1, 4, 4, 3, 1, 0, 0, 0, 2, 2, 3, 2, 4, 0, 2, 1, 0, 1, 2, 3, 1, 4, 3, 1, 4, 4, 2, 0, 2, 2, 4, 4, 1, 0, 1, 0, 2, 0, 1, 3, 0, 4, 0, 4, 3, 3, 2, 1, 3, 3, 4, 3, 1, 4, 3, 0, 4, 1, 0, 2, 2, 1, 3, 3, 1, 3, 2, 4, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 2, 0, 0, 2, 1, 1, 2, 3, 2, 3, 0, 4, 2, 0, 3, 0, 4, 3, 0, 4, 1, 0, 0, 2, 2, 4, 2, 4, 4, 0, 1, 3, 3, 0, 3, 3, 4, 1, 2, 3, 0, 3, 2, 2, 4, 1, 4, 1, 4, 0, 2, 1, 4, 1, 3, 0, 2, 3, 4, 1, 0, 3, 1, 0, 0, 1, 0, 2, 0, 1, 4, 2, 3, 3, 0, 3, 4, 1, 0, 0, 3, 3, 0, 1, 2, 0, 2, 0, 2, 4, 0, 2, 2, 2, 3, 3, 4, 2, 3, 3, 3, 4, 4, 4, 2, 2, 4, 4, 1, 3, 1, 1, 2, 2, 0, 0, 4, 3, 3, 0, 3, 3, 0, 1, 0, 4, 2, 1, 0, 3, 0, 1, 1, 1, 0, 0, 1, 2, 2, 3, 0, 4, 1, 4, 0, 2, 3, 4, 2, 2, 3, 3, 0, 3, 1, 4, 4, 0, 2, 2, 4, 1, 0, 0, 4, 2, 3, 3, 0, 4, 4, 4, 4, 0, 3, 0, 4, 4, 2, 1, 3, 2, 4, 1, 3, 3, 2, 2, 4, 0, 2, 0, 0, 3, 3, 1, 4, 0, 4, 4, 1, 4, 3, 2, 3, 4, 4, 4, 1, 4, 4, 3, 0, 1, 4, 1, 2, 0] pubkeycol530 = [1, 3, 3, 3, 0, 0, 1, 2, 4, 1, 2, 4, 2, 4, 4, 3, 2, 4, 1, 4, 3, 1, 1, 2, 2, 2, 3, 3, 1, 3, 2, 4, 3, 4, 4, 3, 3, 3, 3, 3, 0, 4, 2, 4, 0, 0, 3, 4, 0, 1, 1, 3, 1, 3, 3, 0, 1, 3, 4, 2, 3, 0, 4, 0, 1, 0, 0, 1, 3, 4, 2, 3, 2, 4, 1, 0, 2, 3, 3, 3, 2, 3, 0, 2, 3, 1, 3, 2, 1, 1, 2, 2, 0, 4, 2, 3, 1, 4, 3, 1, 1, 3, 3, 2, 1, 0, 4, 1, 3, 2, 3, 4, 3, 2, 2, 0, 3, 2, 4, 1, 0, 1, 0, 2, 0, 4, 4, 3, 3, 3, 2, 2, 0, 4, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 1, 3, 0, 4, 0, 1, 4, 2, 4, 3, 3, 3, 0, 3, 0, 4, 1, 4, 4, 1, 4, 1, 2, 2, 4, 2, 4, 2, 3, 2, 2, 2, 4, 4, 3, 4, 2, 2, 3, 2, 0, 2, 4, 3, 1, 2, 0, 4, 4, 4, 0, 3, 0, 2, 0, 3, 2, 4, 2, 4, 0, 1, 2, 1, 2, 3, 1, 0, 3, 4, 1, 3, 0, 2, 3, 0, 1, 1, 2, 3, 1, 4, 1, 1, 0, 1, 4, 1, 4, 1, 4, 3, 0, 1, 2, 3, 4, 0, 2, 4, 1, 0, 3, 3, 2, 3, 3, 2, 2, 2, 1, 3, 2, 4, 0, 1, 2, 2, 2, 3, 1, 2, 4, 3, 2, 3, 0, 4, 3, 0, 4, 0, 1, 2, 2, 3, 3, 2, 2, 1, 4, 2, 1, 2, 3, 4, 2, 1, 2, 1, 4, 3, 4, 0, 3, 4, 4, 1, 1, 1, 3, 4, 4, 4, 1, 3, 3, 4, 1, 0, 4, 4, 0, 0, 2, 3, 2, 1, 3, 3, 4, 2, 4, 0, 3, 2, 1, 2, 3, 1, 0, 1, 0, 4, 2, 2, 3, 4, 0, 3, 4, 3, 3, 3, 2, 2, 4, 2, 2, 2, 1, 2, 2, 3, 4, 0, 4, 2, 4, 3, 2, 2, 3, 3, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 4, 3, 2, 0, 3, 4, 4, 4, 0, 4, 0, 3, 1, 1, 2, 2, 0, 2, 3, 1, 1, 4, 2, 2, 3, 4, 2, 4, 2, 3, 2, 4, 3, 4, 0, 1, 2, 4, 4, 3, 3, 2, 1, 3, 4, 1, 0, 0, 2, 2, 1, 4, 3, 2, 1, 2, 3, 0, 2, 3, 0, 2, 4, 4, 3, 0, 0, 3, 4, 1, 2, 0, 2, 4, 0, 4, 0, 4, 0, 3, 0, 4, 2, 3, 3, 2, 2, 1, 0, 3, 2, 4, 3, 2, 4, 0, 0, 0, 0, 2, 1, 3] pubkeycol531 = [2, 1, 4, 3, 1, 1, 1, 1, 2, 1, 2, 4, 2, 1, 0, 1, 4, 1, 3, 0, 0, 3, 1, 1, 0, 1, 0, 4, 2, 4, 1, 4, 0, 4, 4, 3, 1, 3, 3, 4, 2, 3, 3, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 0, 0, 2, 0, 0, 1, 1, 4, 4, 4, 4, 3, 3, 1, 1, 3, 4, 2, 3, 1, 2, 2, 3, 2, 4, 3, 1, 3, 1, 3, 2, 4, 2, 3, 4, 3, 4, 4, 1, 1, 4, 3, 1, 4, 2, 0, 1, 1, 0, 4, 4, 4, 4, 0, 3, 3, 2, 3, 1, 2, 2, 4, 2, 4, 2, 2, 3, 0, 1, 0, 3, 3, 2, 1, 3, 1, 3, 1, 4, 1, 2, 3, 3, 4, 3, 0, 3, 0, 4, 1, 1, 1, 1, 1, 1, 4, 1, 4, 2, 0, 0, 0, 3, 4, 4, 0, 4, 1, 1, 4, 1, 0, 0, 4, 0, 4, 1, 3, 3, 3, 4, 1, 1, 3, 2, 0, 3, 4, 2, 0, 3, 1, 0, 4, 0, 3, 4, 1, 4, 1, 2, 3, 4, 2, 2, 4, 4, 3, 0, 3, 2, 4, 4, 0, 3, 3, 0, 2, 3, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 0, 3, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 0, 4, 2, 0, 0, 4, 3, 2, 2, 4, 3, 4, 2, 3, 0, 3, 0, 2, 4, 0, 0, 1, 2, 0, 1, 2, 1, 3, 0, 4, 1, 3, 4, 1, 2, 3, 2, 4, 3, 2, 3, 3, 4, 1, 4, 1, 2, 4, 1, 4, 1, 2, 2, 3, 0, 0, 3, 1, 1, 1, 4, 1, 3, 2, 0, 1, 0, 4, 0, 3, 1, 1, 2, 1, 1, 3, 0, 4, 2, 4, 2, 1, 1, 4, 4, 1, 0, 3, 3, 3, 3, 4, 0, 0, 0, 4, 3, 2, 1, 3, 2, 2, 2, 3, 4, 0, 3, 1, 0, 2, 1, 3, 3, 2, 1, 3, 2, 4, 3, 3, 4, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 4, 2, 1, 1, 4, 1, 1, 3, 0, 4, 0, 4, 3, 3, 4, 2, 1, 0, 3, 2, 2, 2, 0, 3, 4, 1, 0, 3, 2, 2, 4, 0, 3, 1, 4, 3, 2, 4, 1, 2, 0, 2, 3, 1, 3, 0, 0, 4, 1, 3, 4, 2, 3, 3, 4, 3, 0, 1, 0, 0, 4, 3, 1, 3, 3, 3, 0, 2, 3, 0, 0, 2, 0, 1, 4, 4, 2, 1, 2, 2, 4, 3, 1, 1, 1, 4, 0, 2, 4, 4, 3, 0, 4, 4, 3, 3, 0, 4, 0, 2, 0, 1, 0, 0, 4, 4] pubkeycol532 = [0, 4, 0, 1, 2, 1, 0, 1, 0, 3, 1, 1, 2, 3, 1, 1, 3, 4, 4, 3, 0, 4, 1, 4, 0, 1, 3, 0, 2, 0, 4, 2, 1, 0, 1, 4, 3, 2, 2, 2, 1, 0, 1, 0, 4, 3, 0, 4, 1, 4, 3, 1, 0, 1, 2, 4, 4, 0, 0, 4, 1, 3, 4, 0, 4, 0, 2, 2, 4, 4, 4, 2, 4, 3, 0, 4, 0, 4, 0, 1, 2, 1, 1, 3, 2, 3, 3, 1, 0, 1, 2, 3, 4, 4, 3, 4, 0, 4, 3, 2, 2, 4, 2, 1, 3, 1, 3, 3, 0, 1, 4, 1, 3, 4, 3, 0, 4, 2, 3, 2, 4, 2, 4, 1, 0, 4, 1, 3, 4, 0, 3, 0, 0, 0, 4, 2, 0, 2, 4, 0, 3, 1, 3, 1, 2, 1, 0, 3, 0, 0, 3, 3, 2, 1, 2, 1, 0, 1, 4, 3, 1, 2, 4, 0, 2, 2, 1, 2, 2, 1, 2, 3, 4, 4, 0, 2, 3, 3, 4, 1, 3, 3, 3, 0, 2, 4, 3, 2, 1, 0, 4, 3, 1, 2, 4, 4, 4, 1, 0, 0, 1, 0, 1, 4, 2, 1, 3, 2, 1, 1, 1, 3, 1, 3, 0, 3, 4, 0, 0, 0, 0, 1, 2, 1, 3, 2, 3, 4, 2, 2, 1, 1, 3, 2, 2, 4, 2, 1, 3, 4, 2, 2, 0, 3, 4, 0, 4, 1, 3, 4, 2, 3, 0, 0, 2, 3, 1, 1, 3, 1, 1, 4, 1, 1, 4, 4, 2, 3, 0, 2, 4, 4, 3, 0, 0, 4, 0, 3, 0, 4, 1, 0, 3, 1, 1, 3, 0, 1, 3, 0, 0, 4, 2, 4, 4, 3, 3, 4, 4, 1, 1, 2, 0, 3, 3, 2, 4, 0, 3, 1, 0, 4, 1, 2, 1, 1, 2, 4, 1, 1, 4, 0, 2, 2, 0, 2, 0, 1, 2, 3, 1, 4, 2, 4, 4, 3, 3, 3, 3, 1, 4, 0, 1, 2, 3, 0, 3, 3, 3, 2, 4, 2, 1, 3, 4, 2, 1, 2, 2, 1, 3, 3, 4, 3, 4, 4, 2, 4, 1, 1, 1, 3, 1, 3, 0, 0, 2, 0, 0, 2, 4, 3, 0, 4, 4, 2, 1, 3, 3, 4, 3, 1, 1, 4, 4, 1, 3, 4, 4, 2, 2, 0, 4, 2, 2, 4, 2, 3, 0, 2, 0, 1, 3, 1, 2, 4, 2, 0, 1, 4, 2, 0, 0, 0, 0, 3, 2, 2, 3, 3, 4, 2, 2, 0, 2, 2, 3, 1, 2, 1, 4, 3, 3, 4, 4, 3, 2, 2, 2, 2, 4, 2, 3, 4, 2, 4, 4, 3, 0, 4, 0, 0, 0, 1, 1, 4, 3, 0, 3, 0, 0, 2, 1, 1, 3, 3, 3, 1, 1, 2] pubkeycol533 = [2, 2, 1, 1, 4, 0, 4, 1, 0, 4, 1, 3, 1, 4, 4, 2, 4, 2, 3, 2, 3, 1, 1, 2, 1, 4, 2, 0, 0, 1, 2, 1, 2, 0, 4, 3, 3, 0, 0, 4, 1, 4, 1, 1, 0, 2, 1, 1, 2, 4, 4, 4, 4, 1, 0, 4, 3, 3, 1, 4, 2, 3, 3, 1, 0, 3, 0, 4, 1, 0, 1, 3, 0, 0, 4, 4, 2, 2, 4, 3, 2, 0, 4, 3, 0, 4, 4, 0, 4, 2, 1, 0, 1, 1, 4, 3, 1, 0, 1, 1, 1, 3, 2, 3, 4, 0, 3, 0, 0, 1, 1, 0, 4, 1, 0, 0, 3, 1, 1, 3, 4, 3, 4, 0, 2, 3, 4, 1, 2, 3, 0, 4, 4, 0, 1, 2, 4, 3, 4, 3, 1, 4, 4, 4, 1, 1, 1, 2, 3, 3, 2, 0, 3, 1, 1, 2, 1, 0, 2, 3, 4, 1, 1, 4, 3, 2, 0, 4, 3, 1, 1, 3, 3, 1, 3, 3, 4, 3, 4, 2, 2, 0, 4, 0, 0, 1, 1, 4, 2, 2, 2, 3, 0, 2, 0, 4, 2, 4, 4, 3, 4, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 4, 3, 2, 3, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 3, 0, 1, 0, 2, 3, 3, 1, 1, 2, 1, 1, 3, 2, 1, 3, 0, 1, 2, 3, 4, 1, 3, 3, 1, 4, 1, 2, 1, 2, 2, 0, 2, 3, 1, 0, 1, 1, 4, 1, 3, 0, 2, 3, 2, 1, 3, 1, 4, 0, 2, 4, 3, 1, 1, 1, 4, 0, 4, 2, 4, 3, 1, 1, 4, 1, 1, 4, 1, 1, 0, 2, 1, 4, 4, 4, 1, 0, 3, 4, 1, 4, 4, 2, 1, 3, 4, 2, 4, 2, 0, 2, 3, 3, 1, 3, 2, 1, 0, 2, 2, 3, 0, 4, 0, 1, 2, 3, 2, 3, 2, 3, 1, 0, 2, 1, 4, 0, 2, 3, 1, 2, 2, 1, 4, 1, 4, 4, 0, 2, 1, 1, 2, 2, 4, 0, 1, 0, 4, 3, 2, 4, 3, 0, 0, 3, 0, 1, 1, 1, 4, 3, 0, 1, 3, 4, 4, 0, 4, 1, 2, 1, 4, 2, 1, 0, 2, 1, 4, 2, 2, 3, 3, 1, 1, 2, 2, 2, 4, 0, 3, 0, 3, 0, 2, 2, 0, 3, 1, 4, 1, 0, 3, 1, 4, 2, 2, 4, 4, 1, 3, 0, 2, 1, 0, 2, 0, 3, 1, 0, 3, 1, 2, 4, 4, 3, 1, 3, 2, 3, 2, 3, 0, 2, 2, 4, 3, 2, 2, 3, 1, 1, 1, 4, 3, 2, 0, 0, 1, 4, 1, 4, 1, 0, 4, 0, 2, 2, 0, 2, 2] pubkeycol534 = [4, 0, 4, 1, 2, 1, 4, 2, 0, 4, 3, 3, 0, 4, 2, 4, 1, 3, 1, 3, 1, 3, 1, 4, 4, 1, 3, 2, 1, 1, 0, 0, 4, 4, 3, 1, 4, 0, 4, 1, 1, 3, 1, 0, 4, 2, 0, 1, 3, 1, 4, 3, 3, 0, 4, 1, 4, 2, 2, 3, 3, 1, 2, 4, 1, 4, 2, 1, 2, 1, 4, 4, 1, 4, 1, 3, 4, 1, 4, 2, 0, 1, 1, 1, 0, 4, 0, 3, 0, 3, 0, 0, 1, 1, 0, 1, 3, 1, 1, 4, 1, 0, 3, 0, 1, 4, 2, 2, 4, 2, 1, 4, 4, 1, 2, 4, 4, 3, 3, 2, 1, 4, 2, 1, 2, 3, 4, 1, 1, 2, 1, 3, 4, 4, 0, 4, 2, 3, 3, 2, 1, 0, 2, 1, 2, 4, 1, 2, 2, 2, 4, 0, 2, 0, 4, 2, 3, 2, 4, 3, 1, 2, 1, 2, 0, 1, 0, 1, 1, 4, 0, 0, 3, 0, 3, 4, 1, 1, 1, 2, 1, 0, 4, 1, 3, 3, 0, 4, 2, 3, 4, 0, 1, 1, 1, 2, 4, 3, 0, 4, 0, 3, 4, 4, 3, 2, 2, 3, 0, 4, 0, 2, 4, 2, 0, 4, 0, 2, 1, 2, 1, 4, 2, 0, 4, 0, 0, 3, 2, 1, 3, 3, 3, 2, 4, 1, 2, 3, 1, 4, 4, 2, 2, 3, 1, 4, 4, 4, 4, 3, 3, 0, 1, 1, 0, 1, 0, 3, 2, 0, 0, 4, 0, 3, 3, 0, 2, 3, 1, 1, 3, 4, 1, 0, 2, 3, 4, 0, 4, 4, 4, 0, 0, 0, 3, 1, 1, 2, 0, 0, 1, 2, 3, 1, 0, 1, 0, 3, 0, 3, 1, 0, 4, 3, 2, 3, 0, 1, 4, 3, 1, 1, 2, 2, 0, 4, 3, 3, 2, 3, 1, 3, 0, 2, 3, 0, 4, 4, 0, 1, 1, 4, 2, 0, 1, 2, 0, 1, 3, 1, 0, 1, 0, 3, 2, 4, 0, 2, 1, 2, 1, 3, 3, 3, 4, 3, 3, 0, 2, 2, 3, 2, 3, 2, 4, 0, 2, 0, 3, 4, 1, 4, 2, 3, 2, 2, 4, 4, 0, 4, 2, 3, 3, 1, 0, 1, 1, 3, 4, 4, 3, 1, 0, 3, 1, 4, 3, 4, 4, 0, 2, 3, 0, 4, 0, 4, 1, 2, 0, 2, 1, 0, 2, 4, 4, 3, 2, 3, 0, 4, 4, 1, 2, 0, 1, 4, 1, 2, 3, 0, 3, 2, 3, 1, 0, 4, 0, 3, 2, 2, 2, 3, 1, 0, 2, 1, 0, 0, 4, 0, 0, 2, 4, 3, 1, 1, 4, 4, 3, 1, 2, 0, 3, 4, 0, 3, 4, 3, 2, 0, 1, 3, 2, 1, 2, 1, 0, 0, 1, 2] pubkeycol535 = [4, 3, 3, 3, 3, 3, 3, 3, 2, 4, 1, 0, 4, 4, 2, 3, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 3, 0, 2, 2, 4, 4, 0, 1, 4, 3, 3, 4, 3, 3, 1, 1, 0, 0, 0, 1, 1, 0, 4, 4, 3, 1, 0, 1, 4, 3, 2, 1, 4, 0, 3, 2, 4, 0, 1, 4, 2, 3, 1, 4, 2, 2, 3, 3, 0, 3, 4, 2, 0, 2, 1, 2, 3, 4, 3, 4, 3, 1, 0, 0, 1, 3, 0, 4, 3, 3, 4, 0, 1, 4, 1, 3, 3, 1, 1, 2, 2, 0, 2, 3, 2, 1, 2, 1, 0, 4, 2, 1, 1, 0, 1, 4, 2, 0, 1, 0, 1, 1, 4, 0, 2, 1, 3, 0, 3, 1, 2, 0, 4, 3, 3, 0, 1, 4, 4, 2, 4, 0, 4, 0, 1, 1, 3, 2, 4, 2, 1, 1, 0, 1, 0, 0, 0, 3, 2, 4, 0, 2, 3, 3, 3, 2, 1, 3, 2, 0, 4, 1, 2, 4, 0, 3, 4, 0, 0, 3, 2, 3, 1, 1, 4, 1, 1, 0, 1, 0, 4, 0, 0, 1, 3, 0, 3, 2, 2, 1, 1, 1, 4, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 3, 2, 1, 0, 0, 3, 3, 2, 2, 0, 0, 0, 0, 0, 1, 0, 4, 0, 4, 2, 0, 1, 2, 3, 0, 3, 3, 2, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 2, 1, 3, 1, 0, 2, 0, 2, 3, 4, 2, 1, 0, 2, 4, 4, 4, 4, 4, 0, 4, 3, 3, 0, 2, 3, 4, 2, 2, 2, 1, 2, 4, 3, 1, 3, 3, 1, 2, 4, 3, 4, 3, 3, 4, 3, 2, 4, 3, 1, 3, 0, 3, 3, 4, 1, 2, 2, 2, 4, 2, 1, 4, 0, 3, 4, 4, 4, 3, 1, 1, 4, 2, 2, 1, 0, 3, 1, 0, 1, 3, 0, 1, 4, 2, 4, 3, 0, 4, 1, 4, 1, 0, 3, 3, 1, 1, 4, 0, 3, 2, 0, 4, 1, 3, 4, 4, 0, 1, 0, 3, 0, 3, 2, 0, 2, 1, 4, 0, 3, 4, 2, 1, 4, 0, 4, 1, 2, 2, 1, 1, 3, 1, 4, 2, 3, 4, 4, 0, 4, 3, 2, 1, 4, 1, 4, 1, 4, 0, 0, 1, 1, 2, 4, 1, 2, 2, 4, 3, 3, 3, 4, 2, 2, 0, 4, 1, 4, 2, 3, 0, 2, 3, 2, 4, 0, 2, 3, 1, 1, 1, 0, 4, 2, 0, 1, 0, 4, 2, 1, 3, 2, 2, 2, 0, 2, 1, 2, 3, 0, 0, 3, 2, 0, 3, 4, 1, 2, 4, 3, 1, 0, 2, 1, 4] pubkeycol536 = [1, 1, 4, 1, 3, 3, 0, 1, 2, 0, 1, 1, 1, 4, 0, 2, 4, 3, 3, 4, 4, 1, 4, 2, 4, 2, 1, 1, 3, 1, 3, 3, 2, 0, 0, 3, 0, 3, 1, 1, 4, 2, 2, 2, 1, 2, 0, 4, 2, 1, 4, 3, 4, 1, 0, 2, 1, 2, 1, 3, 3, 0, 1, 4, 0, 0, 2, 3, 2, 1, 0, 2, 1, 1, 2, 0, 1, 3, 3, 0, 4, 0, 1, 4, 1, 3, 1, 4, 2, 4, 1, 2, 3, 1, 2, 4, 0, 4, 3, 4, 3, 4, 0, 0, 2, 0, 4, 1, 1, 0, 4, 4, 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 4, 1, 4, 2, 4, 4, 1, 4, 1, 3, 2, 0, 3, 3, 2, 4, 1, 3, 3, 0, 0, 2, 3, 0, 1, 1, 4, 0, 4, 3, 2, 2, 1, 0, 4, 3, 3, 3, 4, 2, 4, 4, 4, 2, 3, 4, 2, 3, 3, 1, 1, 1, 4, 2, 2, 0, 0, 1, 3, 1, 1, 3, 1, 1, 1, 0, 3, 2, 1, 1, 4, 3, 0, 2, 1, 3, 3, 3, 2, 1, 1, 2, 0, 2, 0, 2, 4, 4, 4, 2, 2, 0, 4, 1, 2, 3, 4, 4, 2, 1, 2, 3, 4, 1, 0, 2, 3, 0, 3, 1, 4, 3, 0, 0, 3, 3, 2, 3, 2, 4, 3, 1, 4, 4, 4, 2, 0, 2, 2, 1, 1, 0, 1, 0, 4, 4, 3, 3, 4, 3, 1, 2, 1, 2, 3, 3, 3, 1, 1, 3, 1, 3, 1, 3, 2, 4, 1, 1, 2, 0, 0, 0, 1, 0, 3, 2, 0, 0, 2, 2, 4, 0, 0, 4, 4, 3, 1, 2, 3, 4, 0, 1, 4, 2, 0, 0, 3, 4, 1, 0, 4, 2, 0, 1, 1, 4, 0, 1, 0, 3, 1, 1, 2, 2, 3, 2, 1, 1, 1, 0, 4, 4, 2, 4, 3, 2, 2, 1, 0, 2, 1, 3, 1, 3, 3, 1, 3, 3, 2, 2, 3, 3, 0, 1, 1, 3, 0, 1, 2, 0, 1, 0, 3, 4, 3, 2, 0, 1, 0, 0, 1, 3, 4, 2, 3, 3, 1, 0, 2, 2, 1, 4, 0, 3, 2, 1, 4, 0, 0, 3, 1, 1, 2, 3, 3, 1, 3, 3, 1, 3, 3, 2, 1, 3, 2, 4, 4, 1, 0, 3, 2, 3, 1, 0, 0, 1, 4, 2, 1, 2, 2, 3, 4, 1, 2, 1, 1, 4, 1, 4, 2, 0, 4, 2, 1, 0, 2, 2, 2, 1, 0, 4, 1, 2, 1, 3, 0, 2, 3, 1, 0, 2, 4, 4, 2, 3, 1, 4, 0, 1, 0, 1, 4, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 4, 2, 4, 0, 3] pubkeycol537 = [4, 4, 0, 2, 0, 0, 2, 2, 1, 3, 1, 2, 1, 2, 1, 2, 3, 0, 3, 4, 2, 0, 3, 0, 2, 2, 3, 1, 0, 3, 4, 2, 4, 0, 0, 4, 2, 1, 1, 4, 1, 4, 0, 0, 1, 0, 2, 4, 4, 3, 4, 4, 1, 3, 4, 2, 2, 2, 3, 1, 2, 0, 4, 3, 0, 1, 0, 3, 3, 4, 4, 1, 4, 4, 2, 1, 0, 1, 2, 2, 1, 4, 3, 0, 2, 2, 3, 4, 4, 2, 0, 0, 4, 4, 1, 2, 3, 1, 3, 0, 4, 0, 4, 3, 3, 1, 1, 3, 1, 1, 1, 3, 0, 4, 3, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 1, 4, 0, 4, 0, 4, 0, 4, 0, 2, 1, 2, 4, 3, 0, 4, 3, 0, 1, 4, 1, 1, 2, 4, 2, 2, 3, 1, 1, 3, 0, 4, 3, 2, 4, 4, 1, 2, 0, 4, 2, 4, 2, 1, 4, 0, 2, 2, 4, 4, 2, 4, 1, 2, 2, 3, 1, 0, 0, 2, 2, 3, 1, 4, 1, 3, 0, 1, 1, 2, 3, 4, 1, 4, 1, 1, 0, 2, 0, 1, 3, 1, 0, 0, 3, 1, 0, 1, 3, 1, 4, 2, 2, 2, 0, 1, 3, 3, 0, 1, 2, 4, 1, 3, 0, 1, 3, 2, 3, 4, 3, 2, 3, 2, 0, 0, 3, 4, 4, 3, 1, 4, 0, 2, 2, 4, 0, 1, 0, 1, 2, 0, 4, 0, 2, 4, 0, 1, 1, 1, 0, 1, 3, 4, 2, 3, 2, 4, 3, 2, 3, 0, 3, 0, 4, 1, 3, 0, 2, 1, 3, 1, 3, 3, 4, 1, 3, 0, 0, 4, 1, 4, 4, 0, 1, 2, 4, 3, 2, 1, 0, 2, 3, 0, 4, 3, 1, 3, 0, 4, 1, 0, 0, 0, 3, 4, 4, 3, 0, 0, 0, 3, 1, 3, 0, 0, 0, 1, 0, 2, 3, 4, 1, 2, 2, 4, 3, 1, 2, 0, 2, 3, 3, 0, 1, 4, 0, 2, 4, 2, 3, 2, 1, 4, 1, 4, 3, 2, 3, 2, 2, 1, 4, 2, 3, 1, 0, 2, 4, 0, 1, 2, 3, 2, 0, 3, 1, 0, 3, 1, 2, 0, 3, 4, 0, 2, 1, 4, 0, 1, 3, 1, 2, 1, 4, 2, 2, 2, 2, 3, 1, 1, 1, 4, 3, 4, 3, 2, 2, 0, 1, 1, 3, 3, 3, 1, 0, 1, 2, 0, 2, 3, 3, 4, 3, 0, 1, 0, 3, 1, 3, 2, 1, 3, 0, 3, 3, 1, 1, 1, 2, 3, 1, 3, 1, 1, 2, 0, 2, 0, 1, 0, 4, 0, 4, 4, 2, 1, 1, 4, 0, 0, 3, 4, 1, 0, 2, 0, 0, 4, 0, 3, 2, 3, 2] pubkeycol538 = [1, 2, 0, 2, 4, 2, 0, 4, 2, 3, 2, 3, 4, 1, 0, 2, 1, 1, 0, 0, 0, 3, 3, 0, 2, 2, 0, 3, 1, 2, 3, 4, 3, 2, 4, 4, 3, 2, 3, 3, 3, 4, 2, 1, 2, 3, 1, 4, 4, 1, 2, 2, 4, 4, 1, 1, 2, 2, 4, 4, 2, 0, 3, 3, 3, 1, 3, 2, 3, 2, 3, 4, 1, 3, 0, 1, 1, 4, 1, 4, 0, 1, 4, 0, 2, 0, 4, 0, 1, 4, 4, 1, 2, 1, 1, 2, 0, 0, 4, 3, 2, 2, 2, 0, 0, 1, 0, 3, 4, 1, 1, 1, 0, 1, 3, 3, 3, 4, 2, 3, 1, 1, 2, 4, 1, 3, 1, 2, 0, 1, 2, 0, 1, 3, 1, 3, 4, 3, 2, 3, 0, 2, 1, 2, 2, 1, 2, 4, 3, 1, 2, 3, 4, 0, 4, 0, 1, 3, 2, 4, 3, 2, 3, 1, 3, 3, 1, 4, 1, 1, 4, 0, 1, 3, 3, 3, 0, 2, 2, 1, 2, 1, 1, 1, 4, 3, 2, 4, 4, 4, 4, 4, 4, 0, 4, 0, 3, 2, 2, 2, 0, 2, 1, 3, 3, 0, 2, 2, 3, 3, 2, 4, 2, 4, 2, 1, 0, 1, 1, 4, 0, 1, 0, 3, 2, 3, 4, 3, 2, 1, 1, 0, 4, 4, 4, 3, 2, 1, 2, 1, 2, 4, 3, 0, 4, 2, 2, 3, 1, 2, 3, 0, 1, 1, 2, 1, 2, 0, 3, 2, 0, 1, 3, 2, 2, 0, 4, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 4, 2, 0, 1, 1, 1, 4, 0, 0, 0, 3, 2, 4, 3, 2, 4, 2, 1, 2, 2, 0, 1, 2, 4, 4, 4, 2, 3, 4, 0, 0, 3, 2, 1, 3, 2, 4, 0, 4, 4, 1, 1, 0, 4, 0, 1, 2, 2, 4, 2, 1, 0, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 4, 4, 2, 4, 4, 0, 2, 2, 0, 4, 4, 3, 2, 3, 0, 3, 2, 1, 0, 1, 2, 4, 3, 3, 3, 0, 2, 3, 0, 3, 1, 2, 2, 1, 0, 2, 1, 1, 2, 3, 2, 1, 0, 3, 3, 1, 0, 0, 3, 0, 2, 1, 2, 2, 4, 0, 3, 0, 2, 2, 0, 3, 4, 0, 2, 0, 1, 1, 4, 0, 3, 4, 1, 4, 3, 3, 4, 2, 1, 4, 3, 4, 3, 2, 0, 3, 0, 2, 2, 1, 4, 4, 3, 0, 1, 4, 0, 2, 3, 2, 3, 1, 3, 1, 4, 0, 0, 2, 3, 0, 3, 3, 0, 0, 3, 2, 2, 3, 3, 1, 2, 0, 2, 4, 1, 2, 1, 4, 2, 4, 2, 4, 3, 4, 2, 3, 0, 0, 1, 3, 4] pubkeycol539 = [3, 1, 4, 4, 0, 4, 2, 2, 3, 1, 0, 3, 1, 4, 2, 1, 4, 1, 0, 2, 0, 0, 3, 3, 4, 2, 4, 1, 3, 1, 4, 1, 2, 1, 0, 2, 2, 4, 4, 0, 0, 2, 1, 2, 2, 4, 4, 0, 1, 2, 0, 0, 0, 3, 2, 4, 3, 2, 1, 3, 1, 0, 0, 3, 1, 0, 2, 4, 1, 3, 1, 1, 3, 3, 2, 3, 0, 0, 2, 0, 4, 4, 3, 3, 1, 3, 3, 3, 4, 3, 3, 0, 3, 1, 1, 1, 4, 3, 1, 4, 1, 0, 3, 1, 1, 4, 4, 1, 2, 1, 2, 1, 3, 2, 1, 1, 3, 0, 2, 4, 3, 3, 3, 0, 3, 4, 3, 2, 1, 3, 3, 2, 1, 0, 1, 4, 2, 3, 1, 2, 4, 2, 4, 2, 4, 4, 0, 2, 2, 1, 0, 2, 1, 3, 3, 4, 4, 1, 2, 4, 1, 3, 1, 2, 0, 1, 0, 3, 2, 1, 1, 3, 3, 0, 1, 2, 3, 3, 4, 2, 3, 4, 2, 1, 2, 3, 2, 0, 1, 0, 2, 0, 4, 4, 0, 3, 1, 1, 1, 2, 1, 0, 4, 3, 2, 3, 4, 2, 3, 4, 2, 1, 1, 1, 0, 4, 2, 1, 1, 0, 1, 4, 3, 4, 1, 2, 0, 1, 0, 2, 1, 0, 4, 4, 2, 2, 3, 2, 0, 0, 3, 0, 0, 3, 2, 1, 3, 0, 3, 3, 3, 0, 3, 1, 2, 3, 3, 2, 0, 3, 3, 1, 3, 1, 3, 1, 2, 3, 2, 4, 4, 0, 0, 0, 4, 1, 0, 1, 1, 2, 4, 4, 1, 2, 1, 4, 2, 0, 2, 2, 4, 0, 0, 0, 2, 0, 3, 2, 0, 2, 3, 1, 4, 0, 2, 0, 2, 3, 1, 4, 4, 1, 4, 4, 0, 1, 2, 1, 3, 0, 2, 2, 3, 4, 1, 4, 2, 3, 3, 2, 4, 0, 4, 0, 0, 2, 4, 4, 4, 1, 0, 2, 2, 0, 3, 2, 4, 3, 4, 1, 0, 1, 4, 2, 3, 4, 1, 3, 3, 3, 2, 4, 2, 4, 4, 4, 1, 0, 2, 3, 0, 2, 2, 3, 3, 3, 1, 1, 0, 4, 4, 4, 4, 3, 2, 3, 3, 4, 1, 1, 2, 4, 2, 4, 2, 2, 0, 2, 1, 4, 3, 3, 2, 2, 1, 4, 1, 2, 1, 2, 4, 4, 1, 4, 1, 2, 3, 2, 3, 2, 2, 4, 0, 0, 2, 4, 2, 0, 2, 3, 1, 3, 4, 0, 0, 3, 2, 4, 1, 3, 1, 3, 0, 0, 2, 4, 4, 3, 2, 1, 3, 1, 0, 0, 2, 1, 1, 1, 0, 1, 3, 2, 4, 3, 4, 0, 0, 0, 3, 4, 0, 4, 0, 3, 3, 0, 2, 0, 3, 0] pubkeycol540 = [2, 1, 2, 4, 0, 4, 0, 0, 1, 3, 0, 4, 4, 1, 2, 2, 3, 4, 4, 3, 4, 0, 1, 3, 0, 2, 4, 2, 2, 3, 0, 4, 4, 0, 0, 4, 2, 0, 0, 0, 1, 2, 3, 4, 0, 2, 4, 2, 1, 1, 1, 3, 1, 2, 0, 4, 1, 0, 4, 0, 1, 0, 1, 1, 4, 0, 3, 3, 1, 2, 3, 4, 2, 4, 4, 0, 3, 3, 0, 4, 3, 3, 1, 1, 1, 3, 0, 0, 2, 0, 3, 2, 0, 4, 0, 1, 3, 0, 3, 0, 1, 3, 2, 4, 4, 0, 1, 3, 2, 4, 4, 0, 1, 1, 0, 3, 1, 0, 3, 2, 3, 0, 1, 0, 0, 4, 0, 2, 2, 2, 3, 0, 0, 3, 1, 4, 0, 2, 1, 3, 3, 2, 1, 4, 1, 2, 2, 2, 4, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 4, 1, 2, 2, 0, 3, 2, 1, 1, 2, 4, 2, 3, 3, 0, 3, 1, 2, 4, 3, 4, 4, 0, 0, 3, 2, 2, 2, 0, 3, 3, 3, 3, 3, 4, 3, 0, 0, 0, 1, 2, 0, 4, 0, 1, 3, 1, 2, 3, 3, 3, 2, 1, 0, 3, 4, 4, 1, 4, 1, 2, 0, 3, 2, 0, 1, 3, 2, 3, 3, 4, 3, 4, 4, 3, 0, 0, 3, 1, 2, 4, 0, 4, 2, 1, 3, 1, 4, 0, 4, 3, 3, 2, 1, 0, 4, 4, 2, 3, 4, 0, 1, 0, 4, 0, 3, 0, 2, 2, 4, 2, 3, 4, 4, 4, 3, 2, 2, 3, 0, 0, 4, 0, 4, 4, 0, 3, 1, 0, 3, 0, 0, 3, 1, 2, 1, 2, 1, 2, 4, 0, 1, 4, 4, 3, 0, 4, 3, 3, 1, 1, 3, 2, 1, 3, 0, 0, 3, 2, 3, 4, 4, 0, 3, 3, 0, 3, 3, 0, 1, 2, 1, 1, 3, 4, 2, 0, 2, 1, 0, 1, 1, 2, 2, 3, 1, 1, 1, 0, 3, 0, 2, 4, 1, 1, 2, 4, 1, 3, 1, 2, 3, 4, 4, 0, 0, 4, 0, 4, 0, 4, 1, 1, 0, 4, 0, 2, 1, 1, 3, 0, 4, 3, 1, 2, 1, 4, 0, 4, 1, 0, 1, 4, 2, 1, 3, 3, 2, 1, 2, 3, 0, 2, 3, 4, 1, 2, 0, 1, 1, 4, 3, 3, 1, 3, 4, 3, 3, 2, 2, 3, 0, 0, 2, 4, 4, 0, 2, 1, 4, 0, 0, 0, 1, 0, 0, 4, 3, 0, 2, 1, 2, 1, 3, 1, 0, 4, 4, 1, 2, 3, 3, 4, 1, 3, 1, 4, 3, 1, 4, 4, 4, 2, 4, 1, 3, 1, 0, 0, 4, 0, 1, 0, 1, 4, 3, 0, 4, 4, 2] pubkeycol541 = [3, 2, 4, 4, 3, 3, 3, 1, 3, 0, 2, 3, 0, 4, 4, 0, 3, 1, 4, 0, 4, 3, 2, 0, 1, 4, 0, 4, 2, 0, 1, 2, 1, 2, 4, 3, 0, 3, 4, 1, 0, 0, 0, 0, 3, 3, 4, 1, 2, 2, 4, 2, 0, 1, 3, 4, 2, 2, 1, 4, 2, 1, 1, 2, 1, 4, 4, 3, 3, 2, 1, 2, 4, 1, 4, 1, 3, 1, 1, 4, 0, 0, 0, 3, 0, 2, 0, 2, 3, 2, 1, 4, 3, 3, 2, 4, 0, 3, 2, 1, 1, 3, 2, 1, 3, 3, 4, 3, 4, 4, 2, 3, 0, 3, 2, 1, 1, 1, 0, 3, 0, 4, 0, 1, 0, 4, 0, 1, 2, 1, 0, 4, 2, 4, 1, 4, 0, 2, 4, 3, 0, 3, 4, 0, 4, 1, 3, 2, 2, 2, 0, 3, 2, 2, 2, 1, 3, 0, 3, 1, 2, 3, 1, 1, 3, 0, 0, 4, 4, 2, 3, 3, 4, 0, 1, 1, 4, 3, 2, 0, 4, 3, 4, 2, 4, 2, 3, 0, 2, 0, 4, 1, 3, 4, 3, 1, 2, 3, 3, 1, 1, 0, 3, 3, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 3, 2, 1, 2, 1, 1, 2, 2, 4, 2, 4, 4, 4, 4, 1, 0, 3, 4, 0, 3, 2, 2, 2, 2, 4, 3, 0, 2, 1, 3, 2, 1, 1, 1, 1, 2, 4, 3, 0, 0, 1, 1, 2, 4, 1, 2, 4, 1, 1, 1, 3, 4, 3, 4, 1, 0, 4, 1, 1, 4, 2, 0, 3, 2, 1, 0, 4, 1, 0, 3, 1, 1, 3, 3, 3, 1, 2, 2, 1, 4, 3, 4, 1, 0, 2, 2, 2, 0, 4, 2, 2, 1, 3, 2, 2, 4, 0, 2, 0, 3, 3, 3, 4, 4, 0, 0, 1, 3, 1, 1, 0, 0, 1, 4, 1, 2, 1, 2, 3, 4, 3, 3, 4, 2, 0, 3, 0, 0, 4, 1, 4, 0, 1, 2, 0, 4, 3, 0, 3, 3, 0, 1, 3, 1, 2, 1, 4, 1, 0, 0, 4, 0, 0, 4, 2, 0, 2, 2, 0, 1, 4, 3, 4, 1, 4, 1, 1, 0, 0, 3, 2, 0, 1, 4, 1, 0, 2, 3, 1, 1, 4, 1, 4, 4, 1, 2, 3, 3, 1, 2, 0, 3, 1, 4, 4, 3, 2, 1, 0, 3, 4, 4, 0, 2, 1, 2, 4, 4, 4, 1, 1, 3, 4, 3, 0, 2, 0, 3, 4, 0, 1, 0, 1, 0, 0, 0, 4, 2, 2, 0, 4, 3, 0, 3, 3, 0, 4, 1, 1, 1, 4, 4, 0, 0, 2, 3, 0, 1, 1, 0, 2, 4, 0, 4, 4, 1, 4, 0, 3, 4, 1, 3, 4, 4, 2] pubkeycol542 = [0, 2, 1, 4, 2, 3, 2, 0, 2, 3, 3, 4, 3, 4, 0, 0, 1, 3, 1, 2, 3, 0, 4, 2, 4, 3, 2, 0, 3, 3, 3, 0, 1, 4, 1, 3, 1, 4, 2, 3, 3, 4, 4, 2, 1, 2, 2, 3, 3, 2, 4, 0, 3, 3, 0, 1, 0, 3, 0, 3, 0, 1, 0, 3, 2, 4, 4, 0, 2, 2, 2, 0, 2, 2, 3, 1, 3, 2, 4, 0, 0, 2, 0, 1, 3, 4, 3, 0, 4, 3, 3, 0, 1, 4, 0, 1, 0, 1, 0, 2, 0, 4, 0, 1, 0, 3, 2, 0, 1, 1, 3, 1, 4, 0, 4, 3, 4, 1, 0, 1, 4, 4, 3, 3, 1, 2, 2, 2, 4, 2, 0, 3, 4, 4, 2, 2, 3, 1, 3, 3, 2, 4, 0, 0, 0, 1, 4, 3, 4, 0, 3, 1, 4, 3, 3, 1, 4, 3, 0, 2, 4, 4, 0, 0, 3, 1, 3, 2, 4, 2, 2, 2, 2, 3, 4, 0, 2, 1, 4, 1, 2, 0, 3, 0, 1, 3, 4, 1, 0, 1, 2, 1, 2, 0, 4, 0, 0, 0, 0, 0, 3, 4, 2, 1, 2, 2, 3, 4, 1, 3, 3, 3, 0, 3, 1, 3, 4, 3, 2, 1, 1, 3, 3, 4, 1, 4, 1, 1, 3, 2, 0, 4, 1, 3, 0, 1, 0, 2, 1, 4, 2, 1, 0, 1, 2, 2, 3, 1, 1, 3, 2, 1, 4, 1, 3, 1, 2, 4, 0, 0, 1, 4, 1, 2, 0, 2, 3, 4, 2, 0, 2, 4, 0, 3, 2, 0, 2, 1, 0, 0, 0, 4, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 4, 3, 2, 2, 0, 2, 1, 3, 1, 1, 1, 3, 2, 2, 2, 4, 2, 1, 0, 3, 1, 3, 0, 0, 3, 0, 2, 2, 1, 1, 3, 1, 3, 4, 3, 2, 3, 4, 3, 2, 3, 0, 1, 1, 2, 4, 4, 0, 0, 2, 0, 0, 4, 0, 0, 1, 2, 2, 3, 4, 0, 2, 0, 3, 1, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 1, 1, 3, 0, 4, 2, 2, 4, 2, 3, 4, 2, 0, 4, 0, 4, 1, 4, 0, 1, 1, 2, 0, 0, 3, 1, 0, 1, 2, 1, 0, 3, 0, 4, 1, 0, 2, 1, 4, 4, 3, 1, 2, 3, 4, 3, 3, 2, 3, 0, 1, 1, 0, 4, 4, 3, 2, 2, 3, 3, 4, 2, 4, 0, 4, 2, 4, 2, 1, 0, 0, 0, 1, 0, 3, 0, 2, 1, 0, 3, 3, 3, 0, 0, 2, 4, 1, 4, 3, 4, 1, 4, 3, 4, 0, 2, 1, 0, 2, 4, 4, 2, 4, 3, 0, 0, 4, 0, 1, 1, 2, 4, 1] pubkeycol543 = [3, 4, 3, 1, 2, 0, 3, 2, 3, 4, 4, 1, 1, 3, 4, 2, 4, 2, 2, 0, 2, 3, 2, 0, 2, 1, 0, 2, 1, 0, 0, 4, 0, 2, 4, 4, 4, 0, 4, 0, 2, 0, 1, 4, 1, 3, 0, 0, 3, 2, 2, 1, 1, 2, 3, 3, 4, 4, 3, 4, 2, 0, 1, 4, 2, 1, 0, 1, 0, 0, 2, 4, 3, 2, 0, 1, 0, 3, 2, 1, 4, 1, 2, 2, 1, 0, 0, 4, 1, 3, 0, 4, 0, 0, 1, 4, 1, 4, 3, 3, 3, 3, 2, 0, 2, 4, 1, 1, 4, 0, 2, 3, 3, 4, 3, 3, 3, 1, 3, 4, 2, 3, 0, 0, 3, 1, 3, 1, 2, 2, 2, 3, 0, 4, 0, 2, 2, 0, 3, 2, 2, 2, 4, 2, 2, 1, 1, 0, 0, 0, 3, 2, 3, 1, 2, 4, 2, 0, 4, 0, 1, 0, 4, 0, 3, 1, 0, 2, 1, 0, 0, 3, 0, 0, 0, 0, 4, 2, 1, 2, 0, 1, 0, 3, 4, 4, 4, 4, 3, 3, 3, 2, 0, 2, 3, 4, 0, 1, 4, 1, 3, 0, 3, 0, 4, 4, 2, 2, 1, 0, 3, 3, 4, 0, 0, 4, 1, 2, 2, 1, 1, 4, 3, 2, 4, 4, 2, 4, 2, 4, 1, 2, 3, 0, 0, 4, 0, 0, 3, 3, 0, 1, 0, 2, 1, 4, 3, 0, 1, 4, 4, 3, 2, 1, 2, 4, 1, 1, 0, 4, 3, 0, 4, 3, 4, 3, 3, 4, 2, 2, 3, 4, 2, 1, 0, 2, 0, 4, 1, 4, 4, 1, 3, 0, 1, 4, 1, 1, 1, 1, 4, 2, 2, 1, 2, 1, 0, 3, 1, 3, 1, 1, 2, 0, 0, 0, 1, 3, 4, 1, 2, 4, 0, 1, 3, 0, 1, 1, 4, 2, 1, 3, 4, 2, 0, 1, 2, 1, 0, 0, 0, 4, 3, 2, 0, 1, 4, 3, 2, 4, 4, 2, 1, 3, 3, 0, 1, 0, 2, 2, 4, 0, 0, 0, 1, 1, 2, 2, 0, 0, 3, 2, 1, 1, 2, 1, 2, 0, 2, 3, 2, 3, 4, 1, 2, 0, 1, 4, 2, 3, 2, 0, 3, 4, 1, 0, 0, 4, 0, 3, 1, 0, 2, 0, 0, 1, 3, 3, 1, 3, 0, 2, 2, 3, 1, 0, 3, 3, 4, 3, 0, 3, 3, 4, 4, 3, 1, 4, 2, 0, 4, 4, 0, 4, 3, 0, 1, 3, 1, 2, 1, 4, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 0, 0, 4, 0, 2, 1, 0, 3, 2, 0, 0, 3, 1, 2, 1, 0, 2, 3, 0, 3, 4, 2, 4, 2, 4, 1, 3, 1, 3, 0, 3, 0, 2, 4, 4, 2, 4, 2] pubkeycol544 = [3, 0, 4, 1, 4, 0, 3, 1, 2, 0, 2, 2, 3, 1, 3, 3, 2, 2, 0, 3, 3, 0, 2, 3, 1, 2, 2, 2, 1, 4, 1, 0, 2, 3, 2, 0, 3, 2, 0, 0, 1, 3, 4, 0, 4, 4, 0, 1, 4, 2, 2, 2, 3, 1, 1, 3, 4, 3, 4, 0, 4, 4, 2, 0, 4, 4, 3, 2, 0, 2, 0, 2, 1, 1, 4, 2, 0, 2, 2, 4, 1, 3, 1, 4, 1, 1, 2, 3, 2, 3, 0, 3, 0, 1, 1, 0, 2, 1, 2, 0, 3, 2, 1, 4, 0, 1, 2, 1, 4, 4, 4, 3, 3, 4, 0, 4, 0, 1, 4, 3, 4, 3, 2, 3, 2, 3, 3, 1, 2, 1, 1, 0, 1, 1, 2, 4, 1, 3, 2, 2, 4, 4, 2, 3, 4, 0, 1, 4, 0, 2, 0, 3, 4, 3, 0, 1, 1, 2, 1, 1, 2, 1, 4, 1, 4, 1, 3, 0, 4, 3, 0, 1, 4, 1, 3, 2, 0, 4, 1, 3, 2, 3, 3, 4, 3, 3, 0, 1, 4, 2, 0, 3, 3, 3, 2, 4, 2, 4, 2, 1, 1, 2, 4, 1, 0, 1, 1, 2, 3, 4, 1, 2, 3, 1, 2, 1, 2, 4, 0, 3, 4, 4, 4, 0, 2, 2, 1, 0, 4, 2, 0, 4, 3, 4, 1, 3, 3, 2, 2, 4, 1, 0, 2, 2, 1, 4, 1, 4, 2, 4, 4, 3, 4, 2, 3, 1, 1, 2, 2, 1, 0, 0, 1, 4, 2, 1, 0, 2, 0, 4, 3, 1, 0, 0, 2, 1, 2, 0, 0, 2, 3, 2, 1, 0, 0, 1, 3, 2, 3, 2, 3, 3, 2, 0, 1, 3, 0, 3, 2, 1, 1, 0, 4, 1, 0, 4, 4, 3, 1, 4, 1, 1, 1, 4, 4, 2, 4, 0, 4, 4, 2, 4, 1, 1, 2, 2, 0, 3, 3, 4, 2, 4, 1, 0, 1, 0, 3, 3, 0, 4, 0, 1, 4, 0, 3, 4, 2, 1, 3, 0, 1, 3, 2, 4, 4, 0, 3, 0, 3, 0, 1, 3, 3, 3, 3, 2, 4, 1, 0, 3, 1, 4, 3, 2, 2, 0, 1, 2, 2, 2, 1, 4, 0, 1, 1, 0, 4, 4, 3, 4, 0, 2, 1, 1, 3, 3, 1, 4, 3, 3, 1, 2, 1, 4, 0, 1, 3, 0, 4, 0, 0, 4, 1, 1, 3, 1, 1, 4, 3, 4, 4, 1, 0, 4, 3, 0, 1, 2, 3, 4, 0, 3, 0, 3, 1, 2, 2, 2, 2, 3, 0, 1, 4, 4, 1, 0, 3, 4, 0, 2, 1, 1, 4, 4, 3, 4, 4, 4, 1, 4, 1, 4, 0, 4, 2, 3, 3, 4, 0, 4, 3, 1, 0, 1, 4, 2, 4, 4, 2, 1] pubkeycol545 = [4, 0, 3, 2, 4, 3, 4, 0, 4, 2, 3, 0, 0, 2, 0, 4, 3, 1, 2, 3, 1, 1, 1, 3, 3, 4, 0, 2, 0, 2, 2, 3, 1, 0, 3, 2, 3, 4, 4, 1, 2, 4, 2, 3, 3, 1, 3, 1, 1, 3, 4, 1, 3, 1, 4, 0, 3, 4, 0, 4, 3, 3, 3, 0, 0, 2, 0, 3, 4, 2, 2, 4, 2, 0, 1, 4, 1, 1, 2, 1, 0, 1, 0, 0, 0, 3, 0, 1, 3, 0, 0, 4, 3, 0, 2, 0, 0, 2, 4, 1, 2, 2, 4, 3, 3, 4, 4, 4, 3, 3, 4, 1, 0, 1, 2, 1, 0, 4, 1, 2, 0, 0, 0, 2, 4, 0, 0, 4, 1, 4, 2, 1, 4, 2, 3, 1, 4, 3, 3, 3, 2, 1, 2, 0, 0, 2, 3, 3, 3, 3, 2, 3, 3, 3, 0, 4, 1, 2, 2, 2, 0, 2, 4, 0, 1, 4, 0, 3, 4, 3, 3, 4, 1, 1, 2, 3, 3, 0, 4, 3, 4, 3, 4, 3, 2, 0, 0, 1, 4, 1, 3, 2, 4, 4, 3, 0, 4, 3, 1, 1, 1, 1, 4, 3, 0, 0, 3, 4, 1, 1, 4, 1, 0, 3, 2, 4, 4, 2, 4, 0, 3, 0, 4, 1, 1, 4, 1, 1, 0, 3, 0, 1, 0, 0, 0, 0, 1, 3, 1, 4, 4, 3, 2, 0, 0, 3, 0, 2, 4, 3, 0, 0, 1, 1, 0, 1, 0, 0, 2, 3, 2, 2, 0, 1, 3, 3, 0, 4, 1, 0, 2, 2, 0, 0, 2, 1, 0, 4, 4, 4, 3, 2, 2, 0, 1, 0, 3, 3, 1, 4, 2, 1, 2, 0, 2, 3, 2, 2, 4, 4, 2, 0, 0, 4, 1, 0, 3, 0, 2, 0, 0, 2, 4, 4, 1, 0, 4, 2, 3, 2, 0, 3, 1, 3, 4, 2, 2, 4, 0, 4, 3, 0, 2, 0, 1, 3, 1, 2, 4, 1, 4, 4, 1, 1, 1, 4, 4, 0, 4, 2, 2, 1, 0, 2, 4, 3, 1, 2, 3, 1, 0, 3, 0, 2, 4, 1, 4, 3, 0, 4, 3, 1, 3, 1, 3, 2, 0, 4, 1, 2, 3, 3, 0, 0, 2, 3, 2, 0, 2, 1, 2, 1, 1, 4, 1, 3, 1, 4, 3, 0, 2, 0, 1, 1, 1, 4, 2, 1, 2, 2, 2, 4, 4, 4, 3, 2, 2, 1, 0, 0, 4, 2, 1, 2, 3, 0, 2, 0, 0, 4, 2, 4, 0, 2, 4, 2, 1, 0, 3, 4, 1, 3, 4, 4, 0, 1, 1, 4, 1, 3, 3, 1, 4, 0, 3, 4, 0, 0, 3, 2, 3, 4, 0, 2, 3, 4, 1, 0, 1, 3, 2, 3, 2, 1, 2, 2, 0, 0, 4, 4] pubkeycol546 = [4, 2, 3, 2, 1, 1, 3, 4, 1, 3, 0, 0, 2, 4, 1, 4, 0, 2, 2, 4, 1, 4, 2, 2, 3, 0, 4, 4, 1, 2, 3, 2, 0, 3, 4, 2, 3, 3, 0, 4, 4, 1, 4, 2, 1, 2, 0, 2, 1, 0, 0, 4, 3, 4, 0, 3, 3, 3, 3, 4, 2, 0, 2, 3, 3, 1, 2, 4, 3, 1, 2, 0, 2, 3, 2, 0, 1, 4, 2, 4, 4, 4, 0, 2, 2, 2, 1, 4, 3, 4, 1, 4, 0, 0, 3, 4, 2, 1, 2, 1, 2, 1, 4, 2, 0, 0, 3, 0, 4, 1, 0, 4, 1, 0, 3, 3, 1, 1, 2, 3, 1, 1, 4, 2, 4, 0, 1, 2, 1, 3, 3, 1, 0, 0, 1, 0, 3, 4, 1, 1, 1, 3, 2, 1, 3, 2, 1, 0, 0, 2, 2, 4, 3, 1, 4, 4, 0, 4, 2, 3, 3, 1, 2, 3, 0, 0, 2, 3, 1, 3, 4, 4, 1, 2, 1, 0, 0, 4, 3, 0, 2, 1, 2, 0, 1, 0, 2, 2, 4, 1, 1, 1, 4, 0, 4, 4, 0, 3, 1, 2, 1, 0, 2, 4, 1, 2, 1, 3, 3, 4, 0, 0, 4, 3, 0, 1, 3, 4, 3, 0, 2, 2, 2, 3, 3, 2, 0, 4, 1, 0, 1, 2, 3, 0, 2, 1, 0, 2, 3, 2, 4, 4, 3, 2, 4, 4, 3, 2, 1, 2, 3, 4, 2, 4, 4, 2, 1, 4, 1, 2, 1, 1, 1, 1, 1, 2, 0, 4, 1, 4, 3, 0, 0, 4, 0, 4, 0, 2, 0, 0, 4, 1, 3, 3, 2, 0, 1, 4, 1, 0, 4, 3, 3, 4, 1, 1, 4, 2, 3, 2, 0, 0, 1, 1, 3, 0, 4, 0, 2, 2, 0, 3, 4, 4, 3, 4, 4, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 4, 1, 3, 1, 4, 0, 1, 2, 3, 4, 1, 0, 0, 0, 4, 0, 4, 0, 3, 3, 2, 3, 4, 4, 1, 2, 1, 4, 1, 0, 2, 0, 0, 3, 0, 4, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 4, 3, 1, 2, 0, 0, 1, 3, 4, 2, 0, 1, 1, 2, 0, 4, 3, 0, 1, 1, 1, 2, 4, 2, 0, 4, 3, 3, 3, 0, 1, 2, 4, 2, 3, 4, 3, 0, 2, 2, 0, 4, 3, 1, 0, 4, 3, 2, 1, 2, 4, 2, 3, 2, 1, 0, 2, 3, 1, 1, 3, 0, 2, 0, 2, 0, 3, 3, 0, 0, 3, 0, 3, 1, 3, 0, 4, 1, 1, 4, 3, 2, 4, 4, 4, 2, 0, 0, 3, 1, 1, 0, 4, 3, 4, 3, 4, 2, 1, 1, 3, 0, 3, 2, 4] pubkeycol547 = [4, 2, 1, 2, 0, 4, 1, 4, 2, 0, 1, 3, 1, 1, 4, 0, 4, 2, 1, 0, 2, 0, 1, 0, 0, 3, 2, 0, 3, 2, 1, 0, 4, 3, 1, 1, 4, 3, 0, 4, 2, 0, 2, 4, 2, 4, 2, 0, 2, 2, 3, 0, 1, 0, 0, 0, 2, 1, 4, 0, 2, 0, 4, 1, 2, 3, 3, 2, 2, 3, 4, 4, 1, 0, 1, 1, 3, 3, 1, 3, 4, 2, 1, 1, 0, 3, 3, 3, 4, 3, 2, 4, 1, 2, 2, 0, 2, 1, 1, 4, 3, 2, 3, 2, 1, 4, 4, 4, 0, 4, 1, 3, 4, 4, 3, 2, 2, 3, 3, 4, 0, 1, 0, 2, 3, 0, 2, 4, 4, 3, 1, 3, 4, 0, 0, 3, 1, 0, 4, 0, 3, 4, 4, 0, 0, 0, 0, 4, 0, 1, 4, 3, 1, 0, 1, 0, 3, 1, 2, 4, 4, 2, 1, 3, 1, 3, 3, 4, 2, 1, 4, 4, 4, 1, 0, 1, 1, 4, 3, 1, 2, 2, 2, 4, 4, 0, 4, 3, 2, 3, 1, 4, 0, 2, 2, 1, 2, 2, 2, 0, 1, 4, 4, 0, 2, 0, 3, 0, 4, 1, 3, 2, 4, 3, 1, 3, 2, 2, 1, 2, 3, 4, 0, 4, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 3, 1, 0, 1, 0, 2, 0, 1, 3, 4, 0, 2, 0, 4, 1, 2, 0, 4, 3, 1, 1, 2, 4, 4, 2, 4, 1, 1, 4, 4, 0, 1, 0, 3, 4, 3, 3, 2, 2, 2, 0, 2, 0, 0, 2, 3, 2, 3, 1, 1, 3, 1, 4, 3, 1, 4, 1, 3, 4, 2, 3, 2, 0, 1, 0, 4, 1, 0, 2, 1, 1, 3, 0, 3, 4, 2, 4, 2, 2, 2, 4, 3, 2, 4, 4, 1, 0, 1, 2, 4, 3, 4, 2, 4, 3, 4, 3, 1, 0, 0, 0, 4, 2, 0, 0, 1, 4, 0, 0, 3, 1, 1, 4, 1, 1, 4, 3, 2, 4, 2, 4, 1, 1, 1, 4, 0, 3, 1, 0, 0, 1, 3, 0, 3, 3, 1, 4, 4, 0, 0, 4, 3, 1, 4, 4, 4, 1, 0, 3, 2, 2, 1, 0, 2, 1, 4, 1, 4, 4, 0, 1, 3, 4, 1, 1, 3, 4, 4, 0, 3, 4, 0, 0, 3, 2, 1, 4, 0, 3, 4, 4, 2, 3, 2, 3, 2, 4, 4, 3, 4, 3, 1, 3, 3, 1, 3, 1, 3, 1, 3, 3, 3, 3, 1, 4, 2, 0, 4, 4, 4, 0, 2, 0, 4, 3, 4, 4, 0, 1, 2, 1, 3, 2, 4, 2, 1, 3, 3, 1, 3, 3, 2, 1, 1, 3, 0, 1, 3, 1, 4, 0, 4, 0] pubkeycol548 = [4, 1, 3, 2, 1, 3, 1, 3, 1, 2, 3, 4, 3, 1, 2, 0, 2, 1, 4, 0, 2, 0, 2, 0, 1, 4, 3, 2, 3, 2, 0, 3, 2, 3, 1, 2, 1, 4, 1, 1, 2, 0, 3, 1, 3, 2, 3, 1, 4, 1, 0, 4, 3, 2, 4, 3, 0, 0, 2, 4, 3, 3, 3, 1, 0, 1, 3, 1, 3, 2, 2, 2, 3, 4, 3, 0, 2, 2, 1, 0, 4, 3, 3, 3, 3, 0, 2, 2, 3, 0, 2, 2, 4, 3, 1, 0, 0, 2, 3, 0, 2, 2, 3, 3, 0, 3, 0, 1, 2, 1, 2, 3, 4, 1, 4, 1, 0, 0, 1, 1, 0, 3, 0, 0, 1, 0, 2, 2, 2, 1, 3, 0, 0, 2, 3, 1, 4, 1, 3, 0, 1, 2, 0, 0, 1, 0, 1, 3, 3, 3, 3, 1, 0, 0, 0, 4, 3, 3, 1, 0, 4, 3, 1, 4, 3, 1, 1, 1, 4, 0, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 2, 0, 3, 3, 2, 1, 4, 0, 0, 0, 3, 2, 3, 4, 2, 4, 1, 0, 1, 0, 3, 1, 0, 4, 0, 3, 1, 4, 2, 1, 3, 4, 2, 1, 0, 4, 4, 3, 4, 1, 0, 4, 2, 3, 1, 1, 0, 3, 3, 3, 3, 0, 3, 1, 4, 2, 4, 3, 3, 3, 4, 0, 4, 1, 3, 0, 4, 1, 3, 2, 3, 4, 2, 1, 4, 2, 4, 0, 2, 4, 2, 2, 2, 4, 0, 1, 3, 0, 1, 3, 3, 1, 0, 2, 1, 0, 1, 4, 2, 4, 3, 1, 2, 0, 4, 4, 1, 2, 4, 3, 3, 0, 4, 3, 1, 3, 1, 4, 2, 3, 0, 4, 1, 1, 3, 1, 4, 1, 1, 0, 2, 3, 1, 1, 2, 1, 1, 3, 1, 0, 3, 2, 4, 1, 4, 4, 2, 2, 2, 1, 2, 3, 0, 1, 4, 0, 1, 2, 1, 4, 4, 1, 3, 4, 0, 3, 4, 2, 2, 1, 3, 2, 1, 2, 0, 4, 4, 4, 3, 4, 4, 4, 2, 1, 0, 2, 3, 4, 2, 0, 0, 0, 2, 0, 1, 4, 1, 0, 2, 1, 1, 3, 3, 0, 1, 2, 1, 0, 1, 1, 1, 4, 0, 0, 0, 2, 4, 3, 0, 1, 1, 0, 3, 0, 3, 2, 1, 1, 4, 3, 3, 2, 4, 0, 1, 3, 0, 4, 2, 3, 1, 2, 3, 1, 0, 1, 0, 4, 4, 1, 2, 2, 1, 1, 1, 3, 3, 0, 1, 0, 3, 4, 4, 4, 4, 4, 2, 0, 3, 0, 3, 4, 3, 2, 4, 1, 3, 2, 0, 1, 3, 1, 0, 3, 2, 4, 4, 0, 3, 2, 3, 1, 4, 3, 3, 4] pubkeycol549 = [4, 2, 2, 0, 0, 4, 0, 2, 2, 3, 0, 1, 2, 0, 2, 1, 4, 4, 0, 0, 1, 4, 4, 2, 1, 2, 4, 2, 4, 4, 4, 4, 1, 2, 2, 4, 4, 4, 2, 4, 0, 4, 2, 4, 0, 3, 3, 3, 2, 1, 4, 4, 4, 2, 3, 3, 0, 1, 3, 0, 0, 3, 3, 1, 1, 3, 4, 1, 3, 4, 1, 3, 1, 1, 0, 0, 3, 3, 2, 0, 2, 2, 1, 1, 0, 3, 4, 1, 4, 3, 4, 4, 0, 4, 4, 0, 4, 4, 3, 2, 2, 4, 1, 4, 1, 2, 3, 4, 1, 4, 0, 3, 1, 4, 1, 1, 0, 4, 2, 4, 3, 2, 4, 0, 0, 3, 4, 4, 1, 0, 0, 3, 2, 4, 4, 1, 2, 2, 2, 3, 4, 0, 0, 1, 3, 2, 3, 3, 0, 1, 3, 0, 3, 4, 0, 0, 2, 3, 0, 1, 4, 0, 0, 0, 3, 4, 0, 3, 1, 3, 4, 2, 0, 2, 2, 3, 0, 1, 3, 4, 3, 3, 1, 0, 2, 1, 3, 3, 3, 4, 4, 4, 1, 2, 2, 4, 2, 1, 1, 4, 1, 0, 1, 1, 2, 1, 1, 3, 1, 2, 4, 3, 0, 4, 4, 1, 4, 4, 3, 1, 4, 3, 4, 3, 1, 3, 4, 2, 4, 1, 2, 4, 2, 0, 0, 3, 1, 1, 3, 1, 3, 3, 4, 2, 2, 2, 2, 1, 0, 3, 0, 3, 1, 4, 0, 4, 2, 1, 4, 4, 3, 1, 0, 4, 2, 2, 1, 3, 2, 4, 1, 2, 1, 1, 1, 3, 1, 0, 2, 4, 4, 2, 1, 3, 4, 2, 3, 3, 0, 2, 2, 3, 2, 3, 2, 1, 3, 0, 2, 2, 1, 2, 4, 3, 4, 2, 0, 2, 2, 4, 1, 3, 0, 0, 2, 4, 1, 3, 0, 4, 3, 2, 0, 3, 2, 4, 1, 2, 4, 2, 4, 3, 3, 4, 0, 4, 1, 4, 3, 3, 0, 0, 4, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 4, 2, 2, 3, 3, 0, 2, 2, 1, 0, 1, 0, 4, 1, 0, 0, 0, 4, 2, 1, 0, 1, 0, 3, 0, 1, 2, 4, 2, 1, 4, 4, 2, 3, 4, 0, 1, 4, 3, 2, 3, 2, 2, 3, 4, 3, 1, 4, 2, 1, 0, 0, 2, 3, 4, 3, 2, 0, 4, 3, 0, 1, 3, 3, 1, 4, 4, 1, 4, 1, 1, 2, 3, 0, 1, 2, 4, 1, 1, 4, 2, 3, 4, 1, 0, 0, 4, 4, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 4, 4, 0, 0, 4, 2, 4, 3, 4] pubkeycol550 = [1, 1, 2, 3, 2, 2, 1, 0, 1, 2, 3, 1, 3, 3, 1, 2, 3, 2, 1, 1, 3, 2, 4, 4, 3, 0, 3, 4, 4, 4, 1, 3, 0, 3, 3, 1, 3, 4, 3, 4, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 4, 2, 4, 3, 0, 1, 1, 0, 0, 2, 1, 1, 4, 4, 3, 2, 3, 1, 1, 1, 2, 1, 0, 0, 3, 3, 2, 1, 3, 2, 1, 1, 3, 2, 1, 2, 0, 0, 4, 3, 3, 0, 3, 1, 4, 3, 1, 3, 2, 1, 0, 0, 3, 1, 2, 2, 3, 3, 2, 4, 1, 0, 2, 2, 1, 1, 2, 2, 4, 2, 1, 4, 1, 4, 3, 2, 1, 2, 4, 0, 0, 3, 3, 4, 2, 2, 4, 3, 4, 4, 0, 4, 2, 0, 2, 1, 4, 3, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 4, 3, 0, 3, 1, 0, 1, 1, 2, 4, 0, 2, 0, 4, 2, 2, 4, 1, 0, 4, 2, 0, 2, 2, 3, 4, 4, 4, 1, 1, 1, 2, 3, 0, 2, 1, 4, 4, 1, 2, 1, 2, 4, 2, 0, 2, 0, 1, 0, 3, 4, 1, 4, 2, 0, 1, 1, 0, 0, 2, 2, 3, 0, 0, 4, 1, 3, 1, 4, 3, 1, 1, 4, 1, 0, 2, 4, 4, 0, 3, 4, 1, 1, 1, 3, 2, 2, 1, 1, 3, 3, 4, 1, 4, 1, 2, 3, 4, 1, 3, 1, 2, 4, 1, 4, 0, 1, 1, 1, 2, 3, 3, 3, 3, 3, 1, 4, 3, 3, 4, 0, 4, 4, 2, 3, 2, 3, 0, 2, 1, 3, 0, 4, 1, 2, 3, 2, 2, 1, 1, 2, 0, 4, 4, 4, 3, 3, 3, 4, 3, 0, 0, 2, 4, 2, 2, 0, 4, 3, 1, 2, 2, 0, 0, 1, 3, 0, 3, 0, 2, 2, 3, 1, 1, 4, 3, 0, 1, 1, 1, 2, 2, 0, 1, 3, 4, 1, 1, 4, 3, 4, 1, 0, 4, 4, 0, 4, 3, 3, 2, 1, 3, 0, 4, 1, 0, 0, 0, 3, 4, 1, 4, 2, 3, 1, 1, 1, 4, 1, 1, 0, 2, 3, 2, 1, 0, 2, 4, 3, 0, 2, 0, 0, 2, 1, 3, 1, 3, 1, 3, 0, 1, 4, 0, 4, 4, 2, 0, 3, 2, 1, 4, 4, 4, 4, 4, 0, 0, 2, 2, 1, 2, 4, 1, 3, 1, 4, 3, 0, 2, 3, 3, 0, 4, 3, 2, 0, 0, 2, 0, 0, 3, 3, 4, 2, 1, 2, 2, 3, 3, 0, 0, 1, 4, 3, 0, 2, 3, 0, 1, 2, 2, 1, 2, 3, 3, 1, 4, 2, 2, 4, 0, 1, 3, 0, 0, 4, 2, 1, 0, 3, 2] pubkeycol551 = [2, 3, 2, 4, 1, 3, 2, 3, 0, 3, 3, 3, 0, 3, 1, 3, 4, 3, 4, 3, 1, 2, 4, 4, 3, 0, 2, 2, 0, 3, 0, 0, 2, 0, 3, 3, 4, 3, 0, 0, 3, 2, 3, 1, 0, 4, 3, 4, 2, 3, 2, 0, 2, 4, 2, 0, 4, 3, 2, 2, 1, 3, 4, 4, 0, 3, 3, 2, 0, 1, 0, 3, 3, 3, 2, 0, 4, 1, 4, 4, 3, 0, 3, 0, 0, 0, 1, 3, 1, 0, 3, 3, 2, 3, 0, 0, 2, 3, 3, 4, 3, 4, 0, 1, 2, 4, 1, 1, 3, 4, 3, 3, 0, 4, 4, 3, 3, 1, 0, 0, 4, 1, 3, 4, 2, 2, 4, 1, 1, 1, 1, 4, 2, 0, 3, 0, 0, 1, 4, 4, 4, 4, 0, 3, 4, 4, 0, 3, 1, 1, 2, 0, 0, 2, 4, 4, 4, 3, 4, 3, 4, 1, 4, 0, 4, 4, 4, 2, 3, 3, 2, 0, 2, 0, 0, 2, 3, 4, 2, 3, 4, 3, 0, 3, 3, 1, 4, 3, 2, 0, 1, 1, 0, 2, 3, 1, 4, 3, 0, 4, 0, 2, 2, 0, 2, 1, 3, 3, 0, 0, 1, 0, 4, 0, 0, 2, 3, 4, 0, 2, 3, 2, 0, 0, 2, 3, 2, 4, 4, 0, 4, 1, 4, 2, 1, 0, 3, 3, 2, 3, 3, 4, 1, 2, 3, 1, 3, 1, 3, 1, 1, 0, 1, 2, 0, 3, 4, 2, 3, 2, 4, 1, 4, 0, 0, 4, 0, 0, 0, 4, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 1, 3, 3, 0, 0, 3, 4, 4, 4, 3, 1, 4, 1, 2, 2, 0, 1, 4, 3, 4, 1, 1, 3, 2, 0, 4, 0, 4, 2, 4, 0, 0, 1, 1, 4, 1, 2, 0, 4, 4, 3, 4, 1, 1, 1, 4, 1, 4, 2, 2, 3, 1, 1, 0, 4, 2, 2, 0, 0, 0, 4, 0, 2, 0, 2, 1, 4, 0, 1, 1, 4, 1, 4, 3, 2, 2, 3, 4, 2, 2, 2, 1, 2, 3, 3, 0, 1, 0, 0, 4, 3, 3, 0, 3, 2, 2, 4, 2, 3, 2, 2, 4, 0, 2, 1, 1, 3, 2, 0, 0, 2, 2, 1, 2, 1, 3, 0, 4, 2, 3, 3, 4, 2, 2, 0, 0, 3, 0, 3, 1, 4, 1, 3, 0, 0, 4, 3, 3, 2, 4, 4, 0, 3, 0, 3, 4, 3, 2, 4, 2, 1, 1, 2, 0, 2, 2, 4, 4, 2, 3, 3, 4, 1, 1, 4, 2, 3, 4, 0, 3, 3, 0, 0, 4, 4, 3, 1, 3, 3, 4, 4, 0, 0, 4, 0, 1, 0, 3, 2, 2, 1, 1, 2, 2, 4, 2, 3, 1, 0, 1] pubkeycol552 = [1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 3, 2, 2, 4, 1, 3, 2, 3, 0, 1, 3, 1, 2, 0, 3, 1, 1, 3, 2, 4, 4, 0, 4, 1, 1, 0, 3, 3, 1, 1, 3, 2, 3, 1, 2, 3, 2, 1, 1, 1, 0, 0, 3, 4, 4, 2, 0, 1, 0, 3, 4, 2, 0, 4, 3, 4, 4, 3, 2, 2, 2, 4, 2, 2, 3, 2, 4, 2, 0, 4, 1, 2, 4, 2, 4, 3, 1, 0, 4, 3, 1, 2, 1, 1, 2, 2, 0, 0, 3, 4, 4, 0, 3, 0, 4, 0, 1, 3, 0, 3, 0, 3, 3, 0, 3, 1, 2, 4, 2, 1, 2, 2, 4, 4, 2, 2, 1, 3, 2, 2, 2, 0, 0, 1, 4, 4, 3, 4, 2, 2, 3, 1, 1, 1, 1, 0, 4, 2, 4, 3, 0, 0, 4, 0, 1, 4, 2, 3, 1, 2, 0, 2, 4, 4, 4, 1, 1, 4, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 4, 1, 4, 3, 3, 4, 1, 2, 4, 0, 2, 4, 3, 3, 4, 0, 0, 3, 3, 0, 4, 0, 4, 0, 4, 3, 3, 4, 1, 3, 4, 0, 3, 1, 1, 0, 2, 2, 4, 4, 3, 0, 3, 4, 1, 0, 3, 4, 2, 0, 4, 1, 0, 2, 4, 3, 2, 3, 1, 2, 0, 0, 0, 3, 4, 2, 3, 1, 4, 2, 2, 4, 2, 3, 1, 4, 1, 1, 0, 3, 3, 4, 2, 0, 2, 1, 4, 4, 0, 2, 0, 3, 4, 0, 0, 1, 1, 3, 4, 1, 4, 4, 0, 2, 2, 0, 3, 2, 3, 2, 1, 4, 3, 3, 0, 1, 4, 1, 0, 4, 2, 0, 2, 3, 3, 2, 3, 2, 2, 3, 4, 3, 0, 4, 3, 0, 2, 0, 3, 3, 1, 2, 4, 4, 1, 2, 3, 0, 3, 2, 2, 1, 0, 2, 0, 3, 0, 1, 2, 3, 3, 0, 0, 4, 1, 2, 0, 3, 3, 1, 3, 4, 1, 1, 2, 0, 0, 1, 4, 2, 4, 3, 4, 2, 1, 4, 0, 1, 3, 2, 4, 3, 2, 3, 2, 0, 4, 1, 2, 4, 4, 1, 4, 0, 1, 0, 3, 0, 4, 1, 3, 3, 2, 1, 2, 2, 3, 1, 0, 1, 3, 0, 2, 0, 4, 2, 4, 0, 2, 3, 2, 2, 2, 0, 3, 4, 4, 4, 4, 2, 2, 2, 1, 2, 4, 1, 1, 3, 0, 3, 3, 0, 0, 3, 2, 2, 4, 4, 1, 2, 2, 4, 3, 0, 0, 2, 1, 0, 1, 0, 4, 1, 4, 2, 4, 3, 3, 3, 0, 1, 2, 2, 4, 4, 3, 0, 4, 4, 1, 0, 4, 0, 2, 0, 2, 2, 3] pubkeycol553 = [4, 0, 4, 2, 3, 1, 4, 1, 4, 2, 2, 1, 3, 4, 2, 1, 1, 4, 1, 0, 2, 2, 0, 3, 4, 2, 2, 1, 1, 1, 2, 4, 2, 2, 1, 3, 0, 4, 2, 2, 0, 3, 0, 0, 1, 1, 2, 4, 3, 4, 1, 4, 0, 0, 0, 0, 1, 0, 4, 2, 2, 0, 0, 1, 3, 3, 3, 4, 4, 2, 0, 4, 4, 4, 0, 1, 1, 2, 1, 0, 0, 4, 0, 2, 4, 1, 0, 1, 0, 0, 2, 3, 2, 0, 1, 4, 4, 3, 1, 3, 0, 3, 3, 3, 1, 3, 0, 0, 2, 2, 1, 1, 1, 4, 3, 2, 1, 4, 2, 0, 1, 1, 3, 1, 2, 2, 1, 3, 0, 2, 4, 3, 4, 4, 4, 4, 4, 4, 1, 4, 4, 0, 2, 0, 3, 4, 3, 2, 1, 2, 4, 0, 4, 4, 0, 4, 4, 3, 0, 4, 0, 2, 4, 1, 4, 0, 0, 3, 3, 2, 2, 2, 4, 1, 4, 4, 0, 1, 4, 0, 4, 3, 1, 4, 4, 3, 3, 3, 2, 0, 3, 0, 1, 0, 4, 0, 3, 2, 0, 1, 3, 1, 1, 0, 3, 1, 1, 0, 2, 2, 4, 2, 4, 2, 2, 4, 1, 2, 4, 2, 3, 1, 3, 0, 1, 3, 3, 4, 1, 1, 2, 2, 2, 3, 3, 1, 1, 0, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 0, 4, 2, 1, 1, 3, 2, 0, 2, 4, 2, 0, 1, 0, 3, 3, 0, 4, 1, 3, 4, 2, 0, 1, 2, 3, 1, 2, 1, 3, 2, 2, 0, 3, 0, 2, 0, 2, 1, 2, 1, 0, 1, 4, 2, 0, 2, 4, 1, 4, 1, 2, 3, 1, 4, 1, 1, 4, 4, 3, 0, 4, 1, 3, 1, 0, 3, 0, 1, 4, 3, 0, 2, 2, 3, 1, 1, 3, 3, 4, 4, 1, 0, 1, 1, 0, 3, 4, 2, 2, 1, 0, 4, 0, 1, 3, 4, 4, 4, 1, 4, 3, 2, 3, 1, 0, 4, 4, 3, 2, 2, 1, 3, 3, 0, 2, 2, 0, 3, 2, 1, 0, 2, 2, 0, 3, 1, 4, 4, 0, 3, 2, 1, 2, 4, 3, 2, 1, 4, 0, 2, 1, 2, 1, 1, 3, 3, 2, 4, 0, 0, 4, 4, 2, 3, 4, 2, 0, 2, 1, 3, 2, 3, 2, 1, 1, 4, 2, 3, 4, 1, 4, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 4, 0, 2, 4, 1, 4, 3, 0, 1, 0, 4, 0, 3, 1, 1, 0, 3, 3, 3, 1, 4, 1, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 3, 0, 0, 1, 3, 3, 3, 0] pubkeycol554 = [3, 2, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 4, 3, 0, 1, 2, 1, 3, 3, 4, 1, 0, 3, 0, 3, 4, 0, 3, 1, 4, 3, 4, 2, 2, 0, 3, 3, 1, 3, 1, 3, 2, 3, 1, 3, 1, 0, 1, 4, 4, 2, 3, 2, 0, 3, 1, 1, 1, 2, 3, 3, 1, 0, 4, 1, 4, 1, 0, 3, 3, 0, 0, 2, 4, 1, 2, 2, 1, 2, 3, 1, 3, 4, 2, 3, 2, 0, 3, 4, 0, 1, 2, 4, 3, 0, 2, 0, 4, 0, 2, 2, 4, 0, 4, 4, 1, 4, 3, 2, 0, 4, 1, 3, 2, 3, 4, 3, 2, 0, 1, 0, 4, 4, 2, 0, 1, 4, 2, 3, 0, 3, 4, 4, 4, 4, 4, 0, 1, 0, 4, 4, 1, 1, 2, 2, 4, 0, 3, 3, 4, 0, 3, 4, 1, 4, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 2, 1, 3, 2, 3, 4, 4, 2, 4, 4, 2, 4, 3, 0, 1, 4, 2, 3, 1, 3, 1, 4, 4, 4, 2, 0, 2, 4, 3, 2, 2, 4, 0, 3, 2, 1, 0, 3, 1, 4, 0, 1, 0, 3, 2, 3, 3, 3, 4, 1, 2, 1, 1, 2, 2, 0, 0, 1, 3, 1, 3, 3, 2, 0, 0, 1, 2, 4, 3, 3, 1, 4, 0, 0, 2, 0, 2, 3, 2, 1, 0, 0, 4, 2, 4, 2, 1, 4, 4, 0, 1, 3, 2, 4, 3, 1, 3, 2, 1, 3, 4, 2, 4, 3, 2, 2, 4, 3, 4, 4, 0, 1, 0, 4, 3, 3, 1, 4, 2, 4, 3, 2, 0, 4, 2, 0, 4, 4, 4, 3, 3, 0, 1, 2, 3, 3, 2, 2, 4, 2, 2, 0, 1, 3, 0, 3, 0, 3, 0, 0, 1, 0, 2, 1, 2, 0, 0, 4, 0, 4, 3, 3, 1, 1, 3, 4, 1, 3, 3, 3, 4, 1, 2, 3, 3, 2, 1, 2, 4, 0, 1, 0, 4, 4, 2, 3, 0, 1, 4, 2, 0, 2, 4, 3, 0, 3, 0, 4, 4, 3, 3, 1, 1, 0, 3, 2, 0, 2, 0, 3, 0, 2, 2, 0, 3, 1, 0, 1, 1, 4, 2, 4, 0, 0, 4, 1, 2, 3, 0, 0, 2, 1, 4, 2, 1, 3, 2, 1, 0, 4, 4, 0, 3, 0, 0, 1, 3, 1, 2, 3, 1, 4, 1, 2, 0, 1, 4, 3, 4, 4, 0, 4, 0, 4, 1, 3, 0, 0, 4, 4, 2, 4, 2, 2, 3, 4, 2, 2, 3, 4, 4, 3, 2, 2, 2, 4, 3, 3, 4, 2, 3, 4, 3, 2, 2, 2, 0, 0, 2, 4, 2, 0, 1, 0, 2, 2, 2, 4, 3, 0, 3, 4] pubkeycol555 = [4, 2, 3, 2, 3, 0, 3, 0, 1, 2, 1, 0, 0, 2, 2, 3, 4, 0, 2, 2, 1, 2, 3, 3, 1, 0, 0, 4, 2, 0, 4, 1, 2, 3, 3, 3, 2, 1, 4, 2, 0, 2, 1, 0, 1, 4, 0, 4, 2, 0, 3, 0, 0, 4, 3, 1, 4, 0, 3, 4, 2, 2, 1, 4, 4, 4, 1, 0, 0, 1, 3, 0, 4, 3, 3, 4, 0, 1, 0, 2, 4, 0, 1, 2, 2, 4, 2, 2, 2, 4, 1, 1, 3, 0, 1, 3, 3, 2, 2, 1, 4, 3, 0, 2, 4, 0, 2, 4, 1, 0, 0, 1, 3, 3, 2, 4, 3, 3, 2, 1, 2, 3, 1, 0, 0, 3, 2, 0, 2, 1, 0, 1, 4, 3, 1, 3, 4, 1, 3, 4, 2, 3, 4, 2, 3, 0, 0, 0, 1, 0, 2, 4, 2, 3, 1, 0, 3, 0, 2, 4, 3, 2, 1, 2, 1, 4, 2, 4, 1, 0, 3, 0, 1, 4, 2, 1, 4, 0, 3, 1, 3, 4, 4, 3, 1, 0, 2, 1, 3, 0, 3, 3, 1, 1, 4, 0, 3, 4, 0, 1, 4, 0, 0, 4, 4, 4, 2, 0, 0, 4, 1, 3, 0, 1, 3, 0, 1, 2, 4, 4, 2, 0, 0, 4, 0, 3, 3, 2, 2, 1, 4, 1, 1, 2, 4, 0, 3, 4, 4, 2, 1, 4, 0, 4, 4, 4, 3, 2, 3, 0, 3, 3, 4, 1, 0, 2, 4, 0, 3, 4, 3, 4, 1, 3, 0, 1, 0, 1, 0, 2, 0, 3, 4, 3, 4, 2, 0, 4, 1, 0, 0, 4, 3, 4, 1, 2, 0, 4, 3, 4, 0, 4, 2, 3, 3, 1, 0, 4, 2, 2, 4, 3, 4, 4, 3, 3, 1, 0, 0, 2, 2, 4, 2, 0, 1, 1, 0, 1, 3, 3, 0, 3, 0, 3, 3, 4, 3, 2, 0, 3, 3, 1, 4, 4, 0, 1, 2, 0, 0, 4, 0, 2, 0, 3, 3, 2, 4, 3, 4, 1, 2, 2, 4, 4, 4, 0, 2, 2, 2, 2, 3, 1, 0, 1, 1, 1, 1, 2, 4, 3, 3, 3, 0, 1, 2, 4, 0, 3, 4, 0, 0, 2, 0, 2, 4, 3, 2, 2, 2, 4, 3, 2, 2, 2, 1, 1, 2, 2, 1, 4, 3, 3, 3, 0, 4, 2, 0, 1, 2, 0, 4, 4, 2, 1, 1, 4, 0, 3, 2, 3, 3, 0, 3, 2, 4, 0, 0, 2, 4, 0, 3, 0, 1, 1, 0, 3, 0, 3, 4, 1, 3, 3, 1, 2, 3, 0, 2, 2, 4, 2, 1, 3, 4, 0, 4, 4, 0, 4, 2, 0, 1, 1, 2, 2, 3, 2, 1, 2, 1, 4, 2, 0, 0, 4, 3, 1, 2, 0, 0, 0] pubkeycol556 = [3, 0, 1, 1, 3, 3, 4, 2, 2, 4, 4, 3, 4, 2, 4, 0, 0, 3, 1, 2, 2, 2, 0, 0, 1, 4, 1, 3, 3, 1, 2, 2, 3, 3, 4, 0, 1, 2, 3, 2, 2, 3, 1, 4, 4, 4, 4, 4, 1, 0, 3, 3, 2, 4, 3, 0, 4, 2, 4, 1, 0, 3, 2, 0, 2, 1, 4, 1, 4, 3, 3, 0, 3, 4, 3, 1, 3, 3, 0, 2, 2, 2, 3, 1, 0, 2, 4, 2, 4, 2, 1, 0, 1, 1, 3, 3, 3, 3, 0, 4, 1, 1, 0, 0, 4, 0, 3, 0, 1, 4, 2, 2, 3, 1, 2, 3, 0, 3, 0, 2, 0, 0, 4, 4, 0, 4, 3, 2, 3, 0, 1, 2, 4, 3, 3, 0, 4, 1, 4, 2, 4, 1, 2, 3, 2, 2, 3, 4, 2, 3, 1, 4, 3, 1, 0, 2, 3, 3, 1, 3, 2, 4, 1, 2, 1, 4, 1, 3, 0, 3, 1, 1, 3, 1, 1, 0, 4, 3, 3, 4, 4, 1, 3, 2, 0, 0, 2, 3, 4, 0, 2, 2, 3, 3, 4, 0, 3, 1, 1, 1, 0, 0, 0, 1, 1, 4, 3, 0, 3, 3, 1, 4, 4, 2, 0, 1, 0, 2, 1, 3, 4, 2, 2, 2, 4, 0, 3, 2, 1, 1, 1, 3, 3, 1, 3, 1, 4, 4, 0, 1, 3, 3, 1, 4, 0, 2, 1, 3, 0, 3, 2, 1, 0, 1, 1, 0, 0, 1, 0, 3, 4, 4, 2, 0, 3, 1, 1, 0, 2, 0, 1, 4, 1, 2, 4, 3, 1, 4, 4, 0, 4, 4, 0, 2, 2, 4, 3, 3, 1, 2, 4, 1, 2, 3, 1, 1, 1, 0, 4, 2, 1, 1, 0, 1, 1, 2, 4, 4, 2, 1, 0, 1, 3, 3, 1, 1, 4, 2, 1, 4, 1, 0, 3, 1, 2, 2, 0, 3, 3, 4, 3, 4, 1, 0, 2, 0, 3, 3, 1, 0, 0, 3, 3, 0, 4, 0, 4, 4, 2, 0, 0, 3, 3, 2, 1, 4, 0, 3, 0, 4, 4, 3, 1, 1, 3, 1, 1, 0, 3, 4, 3, 2, 0, 2, 4, 1, 2, 1, 2, 2, 1, 3, 4, 2, 3, 4, 0, 3, 3, 3, 1, 2, 3, 4, 0, 0, 3, 1, 4, 0, 2, 3, 1, 3, 4, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 3, 0, 3, 1, 0, 2, 0, 3, 2, 0, 2, 4, 3, 3, 3, 3, 0, 0, 2, 1, 4, 3, 4, 3, 4, 0, 3, 3, 3, 2, 0, 4, 2, 4, 2, 3, 4, 2, 3, 0, 1, 4, 3, 2, 4, 2, 0, 0, 1, 1, 2, 3, 3, 0, 3, 1, 2, 1, 2, 3, 2, 1, 3, 3] pubkeycol557 = [0, 1, 1, 3, 0, 3, 4, 0, 3, 1, 1, 4, 1, 4, 1, 1, 4, 0, 4, 2, 3, 3, 1, 3, 3, 1, 1, 0, 1, 3, 4, 1, 3, 4, 4, 4, 1, 2, 2, 4, 1, 0, 3, 2, 0, 1, 4, 3, 2, 0, 1, 1, 4, 3, 0, 4, 1, 2, 4, 0, 4, 3, 2, 2, 1, 1, 0, 0, 2, 1, 0, 4, 3, 4, 1, 2, 0, 3, 1, 1, 2, 4, 0, 0, 0, 1, 1, 0, 0, 2, 3, 0, 2, 1, 3, 3, 2, 0, 3, 0, 0, 2, 0, 3, 2, 2, 0, 4, 4, 2, 0, 3, 1, 3, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 4, 3, 3, 2, 3, 4, 2, 2, 4, 4, 3, 3, 2, 4, 3, 4, 4, 2, 0, 2, 4, 1, 3, 2, 2, 4, 4, 1, 0, 2, 3, 3, 3, 3, 3, 4, 2, 2, 4, 2, 0, 3, 3, 4, 3, 3, 3, 1, 2, 2, 4, 1, 2, 3, 1, 3, 2, 1, 3, 2, 4, 0, 2, 3, 2, 3, 0, 4, 1, 2, 1, 4, 2, 3, 4, 0, 2, 2, 2, 4, 3, 3, 2, 2, 1, 0, 4, 2, 3, 3, 4, 2, 1, 1, 2, 0, 4, 2, 3, 0, 4, 4, 3, 2, 0, 1, 1, 2, 3, 4, 4, 2, 1, 0, 2, 2, 1, 0, 3, 4, 2, 1, 4, 1, 4, 4, 4, 0, 2, 4, 1, 0, 1, 1, 0, 0, 3, 3, 2, 1, 0, 4, 0, 3, 1, 0, 4, 4, 0, 0, 1, 4, 4, 4, 2, 0, 1, 2, 2, 4, 1, 0, 0, 0, 4, 1, 2, 0, 3, 1, 4, 4, 0, 4, 4, 2, 4, 4, 1, 0, 2, 1, 1, 4, 3, 3, 1, 2, 3, 2, 2, 0, 0, 3, 2, 3, 0, 4, 3, 1, 1, 3, 2, 3, 4, 3, 0, 4, 1, 4, 3, 3, 4, 2, 1, 3, 0, 1, 0, 0, 1, 3, 4, 4, 4, 2, 4, 4, 1, 1, 2, 1, 1, 4, 1, 4, 2, 2, 3, 1, 4, 2, 2, 4, 0, 2, 0, 0, 3, 0, 4, 1, 3, 0, 1, 2, 4, 3, 2, 3, 0, 4, 4, 4, 4, 1, 2, 2, 2, 1, 4, 3, 2, 1, 3, 0, 2, 3, 1, 0, 3, 1, 3, 1, 0, 1, 3, 4, 1, 2, 3, 3, 3, 2, 1, 1, 0, 4, 2, 3, 0, 2, 2, 3, 4, 3, 1, 4, 3, 1, 1, 3, 3, 3, 1, 4, 4, 1, 4, 0, 0, 2, 4, 1, 0, 1, 1, 1, 3, 0, 0, 2, 2, 2, 2, 0, 4, 0, 4, 0, 2, 0, 4, 2, 2, 0, 0, 1, 4, 4, 0, 3, 3, 3] pubkeycol558 = [2, 2, 4, 3, 4, 3, 0, 3, 0, 4, 1, 1, 2, 4, 4, 0, 1, 3, 3, 2, 1, 2, 4, 3, 1, 2, 2, 0, 2, 0, 3, 0, 0, 3, 3, 2, 4, 4, 3, 4, 2, 2, 1, 3, 0, 3, 0, 0, 0, 4, 3, 1, 3, 4, 4, 2, 3, 1, 3, 3, 3, 3, 1, 4, 3, 1, 4, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 4, 0, 2, 4, 2, 1, 0, 2, 2, 4, 0, 0, 3, 4, 0, 0, 3, 3, 4, 2, 2, 0, 0, 4, 3, 4, 0, 3, 1, 3, 1, 4, 0, 4, 2, 1, 0, 0, 0, 1, 1, 4, 0, 1, 0, 2, 3, 1, 0, 1, 0, 4, 3, 0, 0, 4, 1, 4, 1, 0, 2, 1, 2, 0, 0, 4, 3, 4, 3, 2, 4, 3, 3, 0, 0, 2, 1, 4, 1, 3, 2, 4, 1, 0, 4, 0, 2, 2, 1, 2, 3, 4, 1, 1, 4, 4, 0, 1, 2, 4, 2, 1, 0, 3, 4, 4, 2, 3, 1, 0, 3, 2, 2, 2, 0, 1, 2, 2, 3, 2, 1, 1, 1, 1, 2, 3, 1, 4, 4, 2, 1, 0, 2, 1, 1, 4, 0, 0, 4, 2, 1, 0, 4, 3, 4, 1, 3, 3, 1, 4, 3, 1, 0, 0, 1, 2, 4, 4, 4, 2, 0, 0, 2, 1, 0, 4, 0, 1, 3, 0, 4, 4, 0, 4, 2, 3, 1, 1, 4, 3, 2, 4, 3, 3, 0, 3, 1, 0, 1, 4, 1, 1, 3, 0, 0, 1, 0, 3, 3, 1, 0, 1, 1, 3, 3, 3, 0, 4, 2, 3, 3, 2, 2, 0, 3, 1, 0, 4, 4, 0, 2, 0, 0, 1, 4, 4, 1, 4, 3, 3, 0, 3, 0, 1, 4, 1, 3, 3, 2, 4, 4, 4, 4, 1, 2, 0, 3, 3, 2, 2, 1, 0, 1, 2, 4, 4, 1, 3, 2, 2, 1, 4, 1, 4, 3, 2, 0, 1, 0, 2, 1, 1, 0, 4, 3, 2, 4, 0, 3, 3, 1, 0, 4, 0, 0, 2, 0, 4, 0, 2, 3, 4, 2, 0, 4, 4, 2, 1, 0, 2, 3, 4, 4, 2, 3, 4, 4, 4, 1, 3, 0, 3, 1, 3, 0, 1, 3, 1, 3, 3, 0, 3, 2, 3, 4, 2, 4, 0, 2, 2, 4, 0, 3, 3, 4, 4, 0, 3, 0, 1, 1, 1, 4, 4, 4, 4, 1, 2, 1, 1, 2, 4, 3, 0, 1, 0, 4, 2, 2, 2, 3, 1, 3, 0, 0, 2, 0, 3, 1, 1, 3, 4, 4, 4, 2, 0, 1, 3, 0, 0, 1, 0, 3, 1, 1, 0, 2, 0, 2, 3, 4, 4, 0, 2, 4, 4] pubkeycol559 = [0, 4, 3, 4, 2, 2, 2, 1, 2, 2, 4, 3, 2, 3, 0, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 0, 3, 2, 2, 0, 4, 3, 4, 4, 2, 2, 4, 4, 1, 4, 3, 1, 3, 1, 0, 0, 0, 3, 1, 2, 0, 1, 4, 2, 2, 0, 3, 4, 3, 1, 2, 2, 1, 2, 4, 2, 2, 2, 0, 3, 4, 3, 2, 1, 4, 0, 1, 1, 0, 1, 3, 0, 3, 4, 3, 3, 0, 4, 2, 4, 4, 0, 1, 3, 0, 4, 1, 1, 1, 2, 2, 1, 0, 2, 1, 3, 4, 0, 2, 1, 0, 1, 0, 4, 3, 3, 3, 0, 3, 3, 4, 4, 0, 1, 0, 3, 3, 4, 3, 3, 3, 3, 4, 3, 2, 0, 0, 2, 1, 2, 2, 4, 4, 3, 1, 4, 4, 3, 2, 4, 0, 2, 3, 2, 2, 3, 0, 1, 3, 1, 3, 3, 1, 1, 0, 1, 0, 0, 0, 3, 4, 3, 4, 0, 3, 2, 0, 4, 0, 0, 0, 0, 1, 3, 4, 3, 1, 1, 0, 2, 3, 4, 0, 1, 4, 0, 1, 2, 4, 2, 4, 0, 3, 0, 0, 3, 1, 3, 1, 0, 0, 1, 1, 3, 4, 2, 1, 2, 2, 1, 2, 3, 0, 4, 0, 2, 3, 1, 2, 4, 2, 0, 3, 0, 3, 4, 1, 3, 0, 2, 2, 0, 0, 2, 0, 1, 3, 2, 4, 0, 0, 3, 0, 4, 0, 1, 3, 3, 3, 4, 0, 3, 3, 4, 3, 2, 1, 1, 1, 2, 1, 4, 4, 2, 4, 0, 3, 2, 1, 3, 0, 0, 3, 4, 4, 1, 4, 2, 2, 1, 3, 1, 0, 1, 2, 1, 3, 2, 2, 3, 3, 0, 3, 1, 2, 3, 4, 4, 0, 3, 1, 2, 0, 1, 1, 2, 3, 1, 0, 1, 0, 2, 3, 3, 4, 4, 1, 0, 4, 2, 3, 3, 4, 3, 2, 4, 2, 3, 1, 4, 2, 3, 2, 1, 2, 0, 0, 3, 0, 0, 2, 2, 0, 3, 3, 0, 0, 2, 3, 0, 4, 2, 4, 2, 4, 1, 3, 4, 1, 2, 1, 3, 2, 3, 4, 4, 0, 2, 0, 2, 1, 4, 1, 3, 4, 1, 2, 4, 0, 4, 2, 3, 1, 1, 0, 0, 2, 2, 0, 4, 3, 4, 2, 0, 3, 3, 3, 4, 3, 2, 1, 2, 1, 4, 0, 2, 2, 4, 1, 2, 1, 1, 4, 0, 4, 1, 1, 0, 4, 4, 3, 4, 2, 4, 3, 1, 3, 1, 0, 0, 1, 1, 0, 3, 4, 4, 1, 0, 2, 1, 2, 1, 4, 2, 2, 4, 0, 3, 3, 1, 3, 4, 1, 3, 4, 2, 1, 0, 3, 4, 0, 3, 0, 0, 2, 0, 0, 1, 1, 4] pubkeycol560 = [2, 1, 2, 3, 2, 4, 3, 1, 1, 4, 1, 1, 4, 1, 2, 3, 1, 4, 3, 3, 4, 4, 3, 2, 4, 3, 1, 2, 4, 4, 1, 4, 1, 1, 0, 4, 3, 3, 4, 3, 4, 1, 0, 4, 4, 0, 4, 4, 2, 3, 1, 2, 4, 2, 1, 3, 0, 1, 0, 3, 1, 3, 4, 3, 3, 4, 2, 2, 1, 4, 1, 3, 0, 2, 1, 4, 4, 2, 2, 2, 1, 3, 0, 2, 3, 1, 4, 4, 0, 3, 2, 3, 3, 0, 0, 4, 4, 4, 2, 2, 4, 0, 2, 1, 2, 2, 3, 2, 3, 1, 4, 3, 4, 3, 3, 0, 0, 2, 3, 2, 4, 1, 0, 1, 2, 3, 1, 0, 2, 2, 2, 4, 3, 0, 2, 4, 4, 4, 2, 2, 4, 1, 4, 2, 0, 1, 4, 4, 2, 3, 0, 1, 4, 2, 1, 4, 2, 1, 4, 4, 2, 0, 3, 4, 2, 1, 1, 1, 1, 2, 2, 4, 2, 4, 2, 0, 2, 1, 3, 0, 2, 1, 3, 4, 1, 0, 1, 4, 0, 0, 0, 2, 2, 2, 3, 3, 3, 4, 0, 3, 2, 3, 1, 2, 2, 4, 4, 3, 0, 1, 3, 0, 4, 2, 1, 3, 4, 2, 2, 4, 1, 0, 4, 1, 4, 0, 1, 2, 4, 1, 4, 2, 2, 2, 3, 3, 0, 3, 4, 0, 2, 2, 3, 4, 3, 2, 0, 4, 0, 2, 3, 2, 3, 1, 3, 4, 0, 2, 4, 4, 2, 4, 3, 2, 3, 1, 4, 4, 2, 2, 0, 3, 4, 1, 2, 4, 3, 1, 3, 4, 2, 4, 1, 0, 0, 0, 2, 2, 4, 0, 3, 0, 0, 0, 4, 1, 3, 2, 1, 2, 0, 4, 3, 1, 1, 0, 4, 4, 0, 3, 3, 0, 4, 0, 4, 2, 0, 4, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 3, 0, 3, 2, 2, 1, 4, 0, 3, 0, 3, 3, 2, 2, 3, 0, 2, 0, 0, 4, 3, 3, 0, 4, 2, 4, 3, 0, 4, 3, 4, 4, 2, 0, 0, 3, 1, 4, 2, 2, 4, 0, 1, 4, 3, 0, 3, 2, 2, 4, 3, 0, 2, 1, 4, 2, 2, 4, 2, 3, 2, 3, 1, 0, 3, 3, 0, 0, 0, 4, 0, 2, 2, 1, 3, 1, 0, 1, 0, 3, 3, 2, 4, 4, 2, 2, 2, 4, 3, 3, 0, 4, 4, 3, 4, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3, 2, 2, 0, 2, 4, 0, 0, 3, 2, 1, 1, 4, 2, 4, 2, 0, 2, 4, 2, 0, 2, 1, 1, 4, 1, 2, 2, 4, 3, 0, 1, 1, 0, 2, 0, 4, 3, 4, 3, 4, 4, 0, 4, 2, 1, 4, 1] pubkeycol561 = [3, 1, 0, 2, 2, 3, 3, 1, 4, 0, 0, 1, 3, 3, 3, 2, 0, 4, 4, 3, 1, 4, 1, 3, 0, 2, 0, 2, 0, 4, 2, 3, 0, 4, 0, 0, 3, 2, 1, 0, 1, 1, 0, 1, 1, 4, 3, 4, 4, 3, 1, 0, 0, 1, 4, 3, 1, 1, 0, 3, 4, 2, 1, 0, 4, 3, 3, 2, 0, 1, 4, 1, 1, 1, 4, 3, 2, 1, 3, 4, 0, 2, 4, 3, 3, 1, 2, 3, 2, 1, 4, 4, 1, 2, 2, 4, 4, 0, 0, 0, 0, 3, 0, 4, 3, 3, 0, 4, 3, 2, 3, 0, 3, 1, 0, 3, 0, 4, 3, 0, 2, 2, 4, 0, 4, 3, 2, 2, 0, 3, 3, 3, 2, 3, 2, 2, 1, 2, 3, 4, 3, 2, 1, 1, 2, 4, 0, 2, 1, 0, 1, 3, 1, 2, 3, 4, 0, 0, 4, 3, 4, 1, 2, 3, 0, 3, 2, 1, 1, 3, 3, 4, 0, 4, 0, 0, 1, 0, 3, 3, 2, 2, 1, 0, 1, 4, 3, 1, 1, 4, 1, 1, 3, 4, 4, 0, 1, 2, 4, 4, 2, 4, 3, 0, 1, 0, 4, 3, 2, 1, 1, 2, 1, 0, 2, 4, 1, 0, 0, 2, 0, 2, 4, 4, 4, 4, 2, 1, 2, 4, 0, 3, 2, 0, 2, 4, 1, 2, 4, 2, 1, 3, 4, 3, 0, 3, 0, 3, 0, 3, 4, 3, 0, 1, 1, 1, 4, 1, 2, 2, 2, 2, 1, 3, 2, 0, 4, 1, 0, 3, 3, 4, 2, 2, 2, 2, 3, 1, 1, 4, 1, 0, 4, 1, 1, 4, 0, 1, 3, 2, 2, 1, 1, 1, 1, 2, 2, 3, 4, 0, 4, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 4, 3, 3, 4, 0, 0, 3, 3, 1, 3, 4, 2, 0, 0, 3, 1, 4, 2, 2, 0, 0, 2, 3, 1, 3, 4, 0, 3, 0, 0, 3, 3, 0, 0, 2, 3, 0, 2, 0, 2, 0, 0, 1, 1, 3, 4, 0, 3, 4, 1, 4, 4, 3, 4, 2, 4, 2, 3, 3, 4, 2, 4, 0, 3, 0, 3, 2, 0, 2, 4, 4, 0, 0, 0, 4, 0, 2, 1, 2, 4, 4, 3, 3, 3, 2, 4, 3, 1, 0, 1, 4, 4, 1, 4, 0, 4, 3, 2, 3, 1, 0, 1, 1, 1, 3, 2, 3, 3, 4, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 1, 3, 0, 1, 4, 2, 4, 3, 0, 4, 2, 1, 2, 3, 3, 4, 1, 0, 0, 1, 4, 4, 0, 0, 4, 2, 1, 1, 4, 3, 4, 2, 2, 1, 0, 4, 3, 2, 0, 3, 2, 0, 2, 2, 1, 1] pubkeycol562 = [4, 2, 2, 0, 0, 1, 1, 0, 2, 3, 3, 2, 3, 4, 4, 0, 2, 2, 4, 0, 1, 2, 1, 1, 1, 2, 0, 4, 2, 0, 2, 0, 2, 0, 4, 4, 4, 4, 2, 4, 3, 3, 2, 0, 3, 4, 3, 3, 3, 2, 3, 0, 0, 4, 2, 1, 1, 3, 0, 0, 0, 4, 1, 1, 0, 1, 3, 3, 3, 4, 2, 0, 4, 2, 4, 2, 0, 3, 3, 0, 4, 3, 4, 0, 4, 2, 3, 2, 4, 2, 1, 3, 4, 2, 2, 2, 1, 0, 2, 4, 2, 4, 1, 1, 4, 1, 1, 2, 2, 0, 4, 3, 2, 0, 2, 0, 4, 1, 2, 3, 4, 2, 2, 0, 3, 2, 0, 0, 4, 3, 3, 2, 0, 3, 1, 3, 2, 1, 4, 2, 3, 0, 2, 1, 3, 3, 1, 3, 2, 0, 4, 4, 0, 3, 4, 0, 1, 1, 0, 0, 4, 2, 4, 4, 4, 4, 1, 0, 3, 2, 1, 4, 2, 4, 4, 4, 3, 2, 0, 0, 3, 0, 2, 3, 0, 0, 0, 1, 4, 0, 3, 2, 1, 1, 1, 4, 1, 0, 0, 0, 1, 0, 3, 4, 1, 4, 4, 0, 0, 4, 1, 3, 4, 1, 4, 2, 1, 1, 0, 1, 3, 4, 3, 1, 4, 2, 4, 2, 1, 1, 3, 0, 2, 0, 4, 4, 4, 3, 0, 4, 0, 0, 3, 2, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 4, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 2, 2, 1, 1, 3, 0, 0, 4, 4, 1, 1, 2, 3, 1, 1, 0, 2, 0, 2, 3, 2, 2, 2, 4, 2, 1, 3, 1, 2, 1, 0, 3, 2, 2, 2, 2, 2, 3, 1, 4, 0, 2, 0, 0, 4, 2, 0, 3, 3, 3, 4, 3, 0, 1, 1, 3, 2, 0, 4, 1, 4, 3, 0, 0, 4, 0, 4, 4, 2, 0, 4, 1, 1, 2, 3, 0, 4, 4, 2, 0, 4, 4, 0, 4, 0, 2, 3, 2, 2, 1, 0, 3, 1, 2, 3, 4, 4, 4, 1, 1, 3, 1, 4, 1, 0, 3, 3, 4, 2, 3, 4, 1, 4, 0, 2, 0, 3, 0, 2, 2, 1, 2, 2, 0, 2, 3, 3, 3, 2, 3, 4, 4, 2, 4, 3, 0, 3, 4, 1, 2, 2, 4, 1, 2, 2, 4, 1, 4, 0, 0, 4, 0, 0, 4, 2, 0, 4, 4, 4, 2, 1, 3, 2, 2, 4, 2, 0, 0, 3, 1, 1, 1, 1, 3, 0, 0, 3, 2, 0, 0, 4, 0, 1, 3, 3, 0, 3, 3, 2, 1, 0, 2, 2, 4, 1, 1, 1, 4, 2, 4, 3, 4, 0, 1, 2, 4, 0, 0, 3, 3, 4, 3, 4, 1, 1] pubkeycol563 = [3, 3, 3, 2, 0, 4, 0, 1, 0, 0, 2, 1, 4, 2, 3, 1, 4, 2, 4, 4, 4, 3, 4, 0, 2, 3, 3, 1, 0, 3, 4, 2, 2, 0, 0, 0, 2, 3, 3, 2, 3, 1, 0, 1, 0, 0, 1, 2, 1, 2, 3, 1, 4, 3, 2, 3, 4, 2, 1, 4, 4, 1, 3, 1, 1, 4, 3, 1, 4, 4, 3, 2, 3, 3, 3, 4, 1, 1, 2, 1, 0, 0, 0, 3, 0, 4, 3, 4, 0, 2, 2, 3, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 3, 4, 0, 0, 2, 3, 1, 3, 4, 3, 1, 4, 1, 1, 1, 3, 4, 1, 4, 2, 2, 1, 2, 0, 3, 4, 0, 1, 3, 3, 0, 2, 4, 1, 0, 4, 3, 4, 4, 3, 4, 1, 1, 3, 2, 1, 1, 3, 3, 4, 2, 2, 4, 1, 0, 2, 4, 1, 0, 1, 1, 3, 4, 1, 4, 1, 1, 0, 4, 3, 4, 4, 1, 3, 3, 1, 3, 4, 3, 1, 0, 4, 1, 1, 0, 0, 2, 3, 0, 3, 1, 4, 1, 3, 3, 0, 4, 0, 2, 4, 3, 4, 1, 4, 1, 1, 3, 4, 4, 2, 1, 3, 4, 4, 0, 1, 3, 4, 2, 1, 1, 3, 1, 0, 4, 0, 0, 2, 0, 1, 3, 2, 1, 0, 1, 2, 2, 2, 4, 1, 2, 0, 2, 0, 2, 3, 4, 4, 0, 3, 3, 0, 0, 4, 1, 4, 2, 3, 2, 1, 4, 1, 0, 4, 0, 0, 2, 0, 0, 0, 1, 1, 4, 1, 2, 3, 0, 4, 0, 2, 4, 1, 2, 4, 1, 0, 0, 4, 2, 0, 0, 2, 2, 1, 1, 1, 4, 0, 1, 4, 0, 1, 3, 4, 2, 0, 0, 4, 1, 0, 2, 1, 2, 3, 4, 3, 1, 1, 4, 1, 3, 3, 2, 3, 2, 4, 2, 4, 4, 1, 0, 4, 1, 1, 0, 4, 3, 0, 4, 3, 2, 4, 0, 4, 0, 0, 4, 1, 1, 1, 3, 4, 4, 2, 0, 2, 1, 3, 2, 1, 0, 1, 4, 3, 3, 1, 3, 3, 1, 4, 2, 0, 3, 0, 4, 3, 3, 3, 1, 0, 2, 2, 4, 2, 4, 0, 4, 0, 3, 0, 1, 0, 2, 4, 0, 1, 4, 1, 2, 0, 3, 3, 2, 1, 4, 2, 2, 0, 2, 4, 2, 2, 4, 2, 0, 2, 0, 1, 0, 1, 0, 2, 4, 1, 3, 2, 0, 0, 1, 1, 2, 4, 1, 1, 1, 2, 1, 4, 3, 2, 2, 0, 1, 3, 1, 0, 1, 3, 4, 0, 4, 1, 3, 3, 3, 2, 4, 4, 1, 3, 0, 0, 0, 2, 2, 2, 2, 2, 3, 4, 2, 3, 4, 1, 4] pubkeycol564 = [4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 3, 2, 4, 0, 0, 3, 0, 2, 0, 3, 0, 1, 4, 1, 4, 1, 1, 0, 3, 2, 1, 0, 3, 4, 0, 1, 1, 1, 2, 0, 2, 0, 3, 3, 0, 1, 1, 2, 4, 0, 1, 4, 2, 3, 0, 0, 0, 4, 3, 3, 2, 3, 4, 1, 0, 0, 1, 4, 4, 4, 0, 2, 2, 1, 4, 4, 2, 2, 3, 4, 1, 0, 0, 4, 3, 3, 1, 2, 1, 0, 1, 1, 4, 3, 1, 2, 1, 1, 1, 3, 1, 2, 1, 0, 2, 3, 0, 0, 0, 1, 4, 2, 3, 2, 1, 0, 1, 2, 4, 4, 4, 4, 1, 0, 0, 4, 3, 3, 1, 2, 0, 1, 4, 1, 4, 3, 1, 4, 2, 3, 4, 3, 0, 4, 3, 4, 2, 4, 3, 1, 3, 2, 3, 3, 2, 3, 3, 4, 2, 2, 4, 1, 2, 0, 0, 2, 3, 4, 4, 3, 4, 1, 2, 4, 1, 2, 2, 1, 2, 1, 4, 4, 2, 1, 4, 3, 4, 2, 4, 0, 4, 2, 3, 2, 0, 4, 1, 3, 4, 2, 1, 1, 3, 4, 0, 0, 0, 0, 3, 2, 0, 1, 2, 1, 0, 4, 3, 0, 2, 3, 0, 1, 2, 1, 0, 1, 3, 0, 4, 3, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 3, 0, 0, 2, 2, 1, 4, 1, 3, 0, 4, 2, 3, 4, 1, 2, 2, 4, 1, 3, 0, 3, 4, 0, 0, 0, 1, 1, 0, 2, 4, 0, 3, 3, 2, 2, 1, 1, 1, 1, 1, 0, 3, 2, 1, 4, 2, 4, 0, 2, 1, 0, 3, 2, 3, 1, 4, 1, 4, 1, 4, 1, 2, 1, 4, 0, 3, 4, 2, 4, 3, 3, 2, 3, 4, 2, 1, 2, 2, 4, 0, 2, 0, 1, 4, 0, 3, 0, 1, 2, 2, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 4, 0, 0, 4, 4, 1, 1, 1, 0, 2, 4, 4, 1, 0, 3, 4, 1, 4, 2, 2, 3, 0, 3, 2, 1, 3, 2, 0, 0, 2, 0, 3, 3, 2, 0, 1, 3, 2, 3, 3, 1, 3, 0, 1, 2, 1, 4, 2, 1, 1, 3, 3, 4, 4, 0, 2, 0, 1, 1, 4, 3, 3, 4, 2, 0, 4, 0, 0, 2, 3, 4, 3, 2, 1, 1, 2, 1, 4, 0, 0, 0, 1, 0, 3, 2, 3, 1, 0, 0, 4, 1, 1, 2, 2, 4, 0, 2, 2, 0, 2, 0, 4, 3, 4, 3, 2, 1, 1, 2, 2, 4, 1, 3, 4, 0, 3, 0, 1, 3, 3, 3, 2, 2, 2, 2, 4, 1, 0, 3, 1, 2, 1, 3] pubkeycol565 = [2, 0, 4, 4, 1, 2, 0, 1, 1, 1, 4, 2, 0, 4, 3, 2, 0, 2, 2, 0, 3, 0, 1, 4, 2, 1, 1, 1, 2, 1, 0, 2, 1, 3, 0, 3, 4, 4, 1, 4, 1, 4, 3, 4, 4, 0, 2, 1, 3, 1, 2, 3, 4, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 4, 4, 4, 4, 4, 3, 3, 4, 4, 0, 2, 3, 4, 0, 1, 3, 3, 2, 0, 4, 3, 4, 0, 4, 1, 3, 3, 3, 0, 0, 1, 4, 2, 0, 3, 3, 2, 0, 0, 2, 3, 1, 1, 0, 3, 3, 0, 3, 3, 1, 0, 0, 4, 2, 0, 2, 2, 3, 1, 2, 1, 2, 0, 4, 2, 1, 4, 4, 0, 4, 4, 2, 4, 2, 0, 0, 4, 1, 3, 0, 1, 2, 2, 4, 2, 0, 1, 0, 0, 3, 1, 1, 2, 4, 2, 2, 4, 3, 2, 4, 3, 1, 2, 0, 2, 3, 3, 0, 2, 3, 3, 2, 3, 3, 3, 3, 4, 1, 3, 3, 2, 4, 2, 4, 2, 0, 2, 2, 3, 2, 0, 0, 0, 1, 4, 0, 3, 0, 4, 1, 3, 3, 0, 3, 4, 1, 2, 4, 0, 2, 1, 2, 1, 3, 3, 3, 1, 3, 4, 3, 2, 3, 2, 1, 1, 2, 0, 0, 4, 3, 4, 3, 2, 3, 0, 1, 3, 2, 3, 0, 4, 3, 2, 2, 0, 4, 0, 4, 3, 1, 4, 0, 0, 3, 1, 4, 4, 0, 0, 1, 1, 3, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 4, 0, 2, 1, 1, 1, 4, 3, 1, 1, 4, 3, 0, 3, 0, 3, 3, 1, 0, 1, 0, 1, 3, 0, 2, 3, 1, 3, 4, 3, 1, 2, 2, 0, 4, 3, 4, 4, 4, 1, 2, 0, 0, 1, 1, 4, 1, 2, 0, 0, 4, 4, 3, 1, 2, 3, 2, 3, 3, 1, 1, 3, 4, 3, 2, 4, 0, 0, 0, 4, 2, 3, 2, 4, 1, 1, 0, 4, 1, 0, 2, 1, 4, 0, 3, 2, 2, 1, 1, 3, 3, 3, 0, 4, 3, 3, 2, 4, 1, 3, 2, 4, 3, 1, 2, 1, 3, 4, 1, 0, 3, 3, 1, 1, 0, 4, 4, 1, 1, 4, 0, 2, 1, 1, 1, 3, 3, 1, 1, 3, 4, 2, 3, 4, 3, 1, 4, 2, 2, 2, 0, 2, 4, 1, 3, 4, 3, 1, 1, 4, 4, 3, 1, 4, 1, 4, 3, 3, 4, 2, 3, 3, 2, 2, 2, 1, 2, 2, 4, 3, 2, 0, 0, 1, 0, 3, 2, 2, 3, 2, 4, 3, 3, 4, 1, 0, 1, 1, 0, 3, 3, 4, 3, 4, 3, 1, 4, 4, 2, 0, 4, 4, 0, 2, 0] pubkeycol566 = [0, 2, 1, 4, 2, 1, 2, 0, 4, 4, 4, 1, 3, 2, 0, 1, 3, 3, 0, 2, 4, 4, 1, 0, 3, 3, 1, 1, 0, 2, 4, 1, 2, 1, 2, 3, 2, 2, 4, 3, 2, 4, 2, 1, 2, 2, 4, 1, 0, 0, 3, 3, 4, 1, 1, 2, 1, 1, 4, 3, 2, 1, 4, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 4, 1, 3, 3, 2, 3, 4, 0, 1, 0, 2, 3, 1, 3, 3, 0, 4, 1, 4, 0, 1, 4, 0, 4, 1, 3, 1, 0, 0, 1, 4, 4, 2, 4, 1, 2, 1, 2, 3, 4, 4, 1, 3, 4, 1, 3, 4, 3, 0, 4, 2, 1, 0, 3, 4, 0, 1, 1, 0, 1, 3, 1, 0, 4, 3, 1, 2, 4, 4, 1, 1, 3, 3, 1, 2, 2, 2, 1, 0, 2, 4, 2, 2, 4, 0, 2, 0, 4, 1, 1, 4, 2, 2, 3, 4, 3, 2, 2, 3, 2, 4, 1, 0, 3, 0, 2, 1, 1, 1, 2, 0, 1, 0, 4, 1, 3, 1, 0, 0, 1, 3, 1, 4, 3, 2, 0, 1, 3, 1, 0, 2, 0, 3, 1, 3, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 3, 2, 0, 0, 4, 1, 2, 4, 1, 1, 0, 2, 3, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 3, 4, 4, 3, 2, 1, 2, 4, 1, 3, 3, 4, 1, 3, 2, 4, 2, 3, 3, 0, 0, 1, 3, 1, 4, 0, 4, 2, 1, 0, 1, 0, 0, 2, 4, 3, 0, 2, 1, 2, 4, 2, 0, 1, 1, 1, 4, 1, 2, 3, 0, 1, 3, 1, 4, 1, 2, 2, 4, 3, 0, 1, 2, 3, 4, 2, 3, 1, 2, 3, 0, 4, 1, 2, 4, 4, 4, 0, 1, 3, 3, 4, 3, 0, 1, 4, 1, 3, 3, 3, 3, 2, 3, 4, 2, 1, 3, 1, 0, 4, 3, 3, 1, 1, 2, 0, 0, 3, 3, 0, 0, 0, 1, 3, 0, 0, 3, 2, 2, 0, 1, 2, 0, 3, 1, 3, 1, 1, 2, 4, 2, 0, 4, 1, 2, 3, 1, 3, 4, 1, 2, 4, 1, 1, 0, 4, 1, 4, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 4, 3, 4, 4, 3, 2, 4, 0, 4, 4, 4, 1, 4, 0, 3, 0, 2, 4, 2, 3, 2, 4, 2, 3, 4, 1, 1, 2, 2, 3, 4, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 4, 1, 4, 1, 1, 2, 3, 4, 4, 3, 4, 1, 0, 1, 2, 2, 4, 3, 3, 2, 2, 0, 3, 2, 3, 3, 3, 0, 4, 1, 2, 0, 4] pubkeycol567 = [3, 1, 0, 0, 4, 3, 0, 2, 1, 2, 2, 0, 4, 2, 3, 4, 2, 1, 4, 2, 1, 4, 2, 0, 3, 1, 3, 1, 2, 2, 3, 4, 0, 1, 4, 1, 3, 3, 3, 1, 0, 4, 0, 2, 4, 3, 2, 0, 4, 3, 4, 4, 2, 3, 3, 1, 4, 3, 0, 2, 4, 0, 1, 1, 3, 4, 3, 2, 1, 2, 4, 0, 3, 1, 2, 0, 0, 2, 2, 1, 3, 3, 4, 0, 1, 3, 4, 2, 2, 0, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 1, 2, 4, 3, 1, 0, 3, 1, 0, 0, 2, 4, 3, 2, 1, 1, 2, 1, 3, 4, 2, 3, 2, 2, 1, 1, 1, 4, 4, 2, 4, 0, 3, 1, 2, 2, 2, 4, 4, 3, 2, 4, 3, 0, 3, 2, 0, 2, 2, 2, 0, 1, 4, 1, 2, 4, 2, 3, 3, 0, 4, 2, 2, 2, 3, 2, 1, 1, 3, 2, 2, 3, 4, 4, 4, 1, 4, 1, 0, 3, 0, 0, 3, 1, 4, 3, 4, 0, 2, 4, 0, 1, 4, 0, 1, 3, 2, 2, 1, 4, 2, 1, 3, 4, 2, 0, 2, 3, 4, 1, 1, 3, 1, 2, 0, 3, 1, 4, 4, 4, 1, 4, 0, 1, 2, 4, 4, 4, 0, 0, 2, 0, 0, 0, 0, 4, 4, 2, 0, 1, 4, 3, 1, 3, 3, 2, 3, 1, 4, 0, 1, 0, 1, 0, 0, 4, 1, 0, 0, 4, 4, 0, 2, 4, 1, 2, 2, 0, 2, 4, 0, 2, 3, 1, 2, 2, 1, 3, 0, 1, 0, 4, 4, 1, 0, 0, 4, 4, 0, 2, 1, 4, 0, 4, 1, 2, 4, 4, 3, 0, 4, 2, 3, 3, 4, 3, 2, 1, 1, 3, 1, 4, 1, 0, 3, 0, 3, 2, 1, 1, 4, 3, 4, 4, 3, 3, 2, 0, 4, 4, 3, 0, 4, 4, 2, 1, 2, 2, 3, 0, 2, 4, 4, 3, 4, 2, 3, 2, 4, 0, 1, 0, 1, 4, 4, 1, 1, 3, 0, 0, 2, 1, 2, 2, 4, 2, 3, 0, 3, 2, 1, 3, 2, 3, 1, 3, 4, 1, 0, 1, 3, 3, 1, 1, 2, 2, 0, 4, 3, 3, 0, 3, 3, 4, 1, 3, 2, 1, 0, 4, 0, 1, 3, 1, 0, 2, 2, 4, 4, 0, 2, 2, 3, 1, 0, 3, 4, 4, 3, 4, 0, 0, 4, 2, 1, 4, 0, 3, 2, 3, 1, 3, 1, 2, 0, 0, 1, 1, 1, 3, 2, 3, 3, 2, 0, 0, 0, 1, 0, 4, 1, 0, 0, 4, 0, 0, 3, 3, 0, 3, 4, 3, 0, 3, 1, 2, 4, 3, 3, 4, 0, 2, 3, 0, 2, 1, 2, 4] pubkeycol568 = [0, 0, 2, 3, 2, 3, 4, 4, 0, 4, 0, 2, 4, 2, 1, 0, 1, 4, 4, 3, 1, 1, 0, 1, 1, 1, 4, 0, 3, 3, 0, 4, 0, 4, 2, 0, 3, 0, 1, 2, 3, 1, 1, 2, 4, 1, 2, 0, 2, 1, 2, 3, 2, 4, 3, 3, 4, 0, 3, 4, 1, 3, 3, 1, 4, 1, 2, 4, 0, 4, 0, 0, 0, 0, 2, 1, 1, 0, 4, 3, 0, 2, 2, 1, 4, 4, 3, 0, 1, 2, 1, 3, 2, 1, 4, 4, 0, 4, 3, 3, 1, 2, 3, 2, 0, 0, 1, 2, 1, 0, 1, 3, 2, 0, 4, 4, 0, 0, 4, 3, 3, 4, 2, 3, 4, 3, 0, 4, 2, 2, 4, 2, 1, 4, 3, 4, 2, 0, 2, 0, 0, 0, 0, 3, 2, 0, 1, 3, 4, 0, 4, 4, 2, 0, 0, 2, 4, 0, 0, 2, 0, 0, 3, 4, 1, 0, 0, 4, 2, 1, 2, 4, 0, 1, 0, 0, 2, 2, 3, 3, 1, 4, 1, 4, 3, 2, 4, 3, 0, 0, 0, 1, 3, 3, 1, 3, 0, 0, 0, 4, 2, 2, 2, 3, 1, 1, 2, 3, 0, 2, 3, 3, 0, 2, 4, 0, 4, 2, 4, 1, 0, 4, 1, 0, 1, 2, 2, 4, 2, 1, 0, 4, 2, 3, 2, 1, 2, 3, 0, 0, 1, 1, 1, 2, 4, 3, 2, 0, 0, 2, 3, 0, 2, 3, 3, 3, 1, 3, 1, 3, 3, 1, 4, 1, 3, 1, 4, 0, 0, 4, 0, 2, 1, 3, 1, 3, 1, 4, 2, 0, 4, 2, 1, 0, 3, 4, 3, 4, 4, 2, 4, 4, 0, 0, 2, 2, 4, 2, 0, 3, 1, 3, 2, 2, 3, 3, 4, 3, 1, 2, 2, 1, 0, 1, 0, 4, 3, 2, 0, 0, 3, 4, 0, 3, 1, 3, 3, 2, 3, 4, 1, 3, 0, 3, 3, 2, 1, 3, 3, 0, 1, 4, 4, 4, 3, 4, 2, 2, 0, 0, 4, 3, 4, 4, 0, 4, 0, 3, 3, 1, 0, 4, 2, 0, 1, 0, 3, 2, 4, 0, 2, 0, 3, 3, 1, 0, 3, 0, 3, 1, 3, 3, 2, 4, 4, 3, 1, 4, 0, 1, 0, 4, 4, 0, 1, 4, 2, 4, 4, 4, 1, 2, 0, 4, 3, 1, 2, 1, 2, 1, 0, 3, 0, 3, 3, 4, 4, 0, 2, 2, 3, 3, 3, 1, 2, 4, 2, 3, 4, 1, 1, 0, 4, 0, 2, 3, 4, 4, 1, 3, 0, 1, 2, 1, 3, 0, 4, 1, 1, 4, 0, 3, 2, 3, 3, 0, 4, 2, 2, 1, 1, 2, 4, 2, 1, 4, 1, 2, 3, 4, 0, 1, 0, 3, 0, 2, 1, 2, 4, 1] pubkeycol569 = [3, 1, 2, 2, 0, 2, 4, 0, 4, 0, 3, 0, 1, 0, 4, 4, 2, 4, 0, 4, 2, 2, 3, 2, 2, 0, 2, 1, 0, 0, 4, 0, 2, 3, 1, 3, 2, 2, 4, 0, 3, 2, 4, 4, 2, 4, 1, 1, 3, 1, 1, 0, 1, 2, 1, 2, 2, 4, 1, 1, 3, 3, 3, 1, 0, 1, 1, 3, 0, 1, 2, 4, 4, 4, 4, 4, 3, 1, 3, 1, 0, 0, 0, 3, 4, 2, 3, 3, 2, 0, 0, 1, 2, 3, 1, 1, 1, 1, 3, 1, 3, 4, 2, 1, 4, 4, 0, 2, 2, 0, 2, 3, 3, 0, 0, 3, 1, 2, 1, 3, 4, 3, 1, 2, 0, 2, 1, 0, 3, 1, 4, 1, 3, 2, 1, 3, 0, 3, 2, 0, 3, 1, 4, 1, 1, 4, 2, 0, 4, 3, 1, 4, 3, 0, 0, 3, 2, 1, 3, 1, 3, 3, 0, 0, 0, 1, 4, 0, 4, 2, 4, 4, 1, 0, 4, 0, 0, 4, 0, 2, 1, 2, 4, 2, 3, 0, 1, 4, 3, 4, 1, 1, 1, 2, 2, 1, 3, 0, 1, 2, 1, 4, 2, 4, 0, 1, 4, 0, 1, 2, 3, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 3, 0, 0, 3, 1, 1, 3, 3, 4, 1, 4, 4, 3, 1, 3, 2, 0, 3, 2, 2, 2, 4, 1, 0, 4, 0, 3, 1, 2, 3, 3, 3, 1, 2, 0, 2, 2, 3, 4, 0, 1, 3, 2, 2, 2, 1, 2, 3, 1, 4, 4, 4, 2, 0, 0, 2, 1, 1, 1, 1, 0, 4, 0, 0, 1, 4, 0, 1, 2, 0, 0, 4, 3, 4, 3, 2, 3, 0, 4, 3, 3, 4, 1, 4, 4, 2, 3, 1, 2, 3, 0, 0, 2, 0, 3, 0, 2, 4, 1, 1, 1, 2, 2, 3, 0, 2, 4, 1, 2, 4, 1, 0, 0, 1, 4, 1, 1, 1, 2, 3, 0, 0, 3, 0, 2, 1, 0, 3, 4, 2, 4, 1, 4, 4, 2, 3, 3, 1, 4, 1, 1, 1, 1, 2, 0, 0, 0, 2, 3, 1, 1, 4, 3, 0, 1, 4, 4, 2, 0, 3, 0, 1, 2, 1, 3, 3, 1, 2, 1, 4, 3, 1, 2, 2, 3, 2, 0, 2, 3, 3, 1, 1, 4, 3, 2, 1, 3, 0, 3, 2, 2, 3, 2, 0, 0, 3, 2, 3, 0, 2, 2, 2, 2, 1, 0, 3, 3, 4, 1, 4, 3, 1, 1, 3, 0, 3, 1, 4, 3, 1, 4, 2, 2, 1, 1, 4, 1, 4, 3, 0, 4, 3, 4, 2, 0, 3, 0, 0, 3, 3, 1, 2, 0, 2, 4, 3, 3, 2, 2, 4, 1, 0, 0, 0, 2] pubkeycol570 = [3, 1, 4, 4, 4, 0, 2, 4, 4, 0, 1, 4, 0, 1, 0, 3, 1, 3, 1, 2, 3, 2, 2, 4, 2, 4, 3, 3, 0, 2, 4, 0, 0, 3, 4, 0, 4, 4, 2, 1, 2, 1, 4, 2, 1, 2, 3, 0, 3, 4, 0, 4, 4, 1, 0, 3, 3, 3, 4, 1, 2, 1, 0, 4, 0, 2, 4, 3, 0, 0, 0, 3, 3, 3, 3, 4, 3, 1, 1, 2, 0, 2, 2, 4, 4, 3, 1, 0, 3, 1, 0, 3, 1, 0, 3, 3, 2, 2, 3, 2, 0, 3, 3, 0, 1, 0, 4, 3, 0, 2, 3, 2, 2, 4, 2, 1, 4, 4, 3, 2, 2, 3, 3, 4, 3, 4, 0, 3, 2, 2, 3, 2, 4, 3, 4, 4, 0, 4, 3, 1, 2, 0, 3, 1, 4, 0, 3, 3, 3, 3, 1, 3, 4, 0, 0, 4, 1, 0, 2, 2, 2, 3, 3, 4, 4, 0, 0, 0, 3, 2, 0, 0, 0, 3, 4, 3, 4, 1, 4, 4, 1, 0, 1, 1, 0, 4, 2, 3, 4, 4, 4, 1, 2, 1, 2, 4, 3, 1, 4, 2, 1, 2, 1, 3, 3, 3, 2, 4, 2, 4, 2, 2, 3, 4, 1, 3, 3, 0, 4, 0, 4, 4, 4, 4, 0, 2, 1, 2, 3, 0, 1, 3, 1, 1, 3, 3, 1, 0, 3, 4, 4, 2, 4, 2, 3, 2, 2, 0, 3, 4, 1, 1, 3, 0, 4, 4, 2, 3, 1, 1, 3, 3, 0, 3, 1, 0, 1, 3, 2, 4, 0, 1, 2, 2, 3, 2, 0, 0, 4, 4, 0, 0, 2, 2, 1, 4, 3, 4, 4, 4, 1, 4, 4, 2, 1, 3, 3, 0, 0, 3, 4, 1, 1, 1, 2, 2, 2, 3, 4, 3, 1, 4, 4, 3, 0, 4, 2, 3, 2, 2, 4, 0, 0, 4, 1, 0, 3, 0, 3, 4, 0, 2, 2, 2, 1, 3, 3, 0, 1, 4, 4, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 4, 0, 0, 4, 4, 0, 3, 1, 1, 0, 0, 4, 4, 0, 3, 2, 1, 4, 4, 0, 2, 0, 3, 0, 3, 0, 4, 3, 2, 0, 1, 3, 1, 4, 1, 2, 0, 0, 3, 0, 4, 2, 0, 4, 1, 0, 2, 3, 1, 4, 2, 4, 1, 3, 2, 0, 4, 2, 0, 1, 3, 3, 2, 2, 0, 0, 2, 1, 0, 2, 4, 4, 1, 2, 2, 3, 4, 1, 4, 3, 0, 1, 3, 3, 2, 2, 2, 1, 0, 2, 0, 4, 2, 3, 1, 3, 1, 4, 0, 1, 2, 0, 3, 1, 4, 4, 2, 2, 2, 0, 0, 3, 1, 0, 4, 0, 2, 4, 1, 0, 2, 4, 4, 1, 4, 1] pubkeycol571 = [1, 1, 3, 2, 2, 2, 4, 3, 0, 0, 0, 0, 4, 1, 2, 4, 3, 2, 0, 2, 4, 1, 0, 1, 2, 2, 4, 2, 3, 0, 1, 2, 2, 3, 4, 0, 1, 1, 0, 1, 0, 4, 4, 1, 3, 4, 4, 4, 3, 0, 0, 2, 0, 4, 0, 1, 4, 2, 2, 2, 4, 2, 4, 0, 0, 2, 0, 3, 3, 4, 1, 0, 3, 0, 4, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 3, 3, 4, 2, 2, 3, 0, 2, 0, 3, 1, 0, 4, 4, 3, 3, 4, 3, 2, 0, 3, 3, 4, 1, 2, 0, 1, 0, 0, 1, 4, 4, 4, 0, 3, 2, 2, 2, 2, 3, 0, 1, 1, 0, 3, 4, 3, 3, 2, 4, 0, 2, 1, 2, 1, 0, 0, 4, 1, 1, 4, 4, 3, 2, 0, 4, 2, 2, 4, 1, 1, 2, 4, 0, 0, 3, 4, 3, 2, 3, 0, 4, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 3, 1, 4, 0, 0, 0, 0, 4, 2, 0, 3, 4, 2, 2, 4, 1, 3, 4, 0, 1, 3, 4, 0, 1, 0, 0, 2, 3, 4, 2, 2, 4, 4, 0, 1, 3, 4, 2, 0, 2, 1, 2, 2, 1, 0, 3, 4, 4, 1, 0, 3, 2, 1, 3, 4, 0, 0, 2, 1, 3, 4, 4, 3, 2, 0, 0, 3, 3, 3, 2, 1, 0, 0, 0, 1, 3, 0, 0, 3, 3, 1, 0, 3, 3, 0, 0, 3, 2, 0, 3, 0, 3, 1, 0, 2, 1, 3, 3, 1, 0, 3, 1, 2, 2, 2, 0, 2, 2, 2, 3, 0, 2, 4, 2, 1, 0, 0, 2, 2, 1, 0, 4, 0, 0, 3, 4, 3, 2, 3, 1, 1, 0, 4, 0, 1, 1, 3, 4, 0, 1, 0, 4, 1, 1, 3, 1, 0, 3, 0, 1, 2, 3, 3, 3, 3, 1, 4, 1, 2, 3, 1, 1, 0, 3, 4, 1, 1, 2, 4, 1, 3, 2, 0, 4, 0, 1, 4, 1, 1, 2, 0, 0, 2, 0, 2, 4, 4, 2, 3, 2, 3, 4, 0, 3, 0, 2, 2, 0, 4, 0, 1, 4, 3, 3, 4, 1, 2, 3, 1, 0, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 1, 3, 3, 3, 3, 1, 3, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 2, 0, 1, 3, 0, 2, 3, 2, 2, 1, 0, 1, 4, 0, 4, 4, 0, 4, 4, 1, 0, 0, 2, 1, 2, 2, 2, 2, 4, 1, 4, 1, 3, 3, 3, 3, 2, 4, 1, 4, 2, 2, 2, 0, 3, 0, 4, 3, 2, 0, 3, 4, 1, 4, 0, 1, 2, 3, 1, 4, 2, 0, 3, 2] pubkeycol572 = [2, 0, 1, 4, 1, 3, 3, 0, 2, 0, 4, 1, 1, 4, 4, 1, 1, 3, 0, 2, 2, 1, 1, 3, 1, 3, 4, 4, 3, 0, 2, 3, 3, 4, 1, 4, 1, 3, 1, 3, 3, 1, 3, 4, 1, 2, 0, 2, 1, 4, 0, 2, 0, 2, 4, 4, 0, 2, 2, 0, 3, 3, 0, 0, 1, 4, 4, 0, 2, 0, 4, 0, 1, 3, 2, 2, 2, 3, 3, 1, 2, 1, 0, 3, 3, 3, 2, 4, 0, 1, 1, 3, 0, 0, 1, 2, 3, 3, 2, 3, 0, 0, 4, 2, 2, 4, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 3, 3, 4, 0, 4, 4, 2, 0, 3, 4, 0, 1, 3, 0, 1, 1, 3, 1, 0, 2, 1, 1, 3, 1, 0, 4, 3, 4, 0, 1, 1, 3, 2, 3, 2, 3, 2, 0, 2, 3, 4, 3, 4, 4, 3, 1, 1, 2, 2, 4, 2, 4, 0, 3, 4, 4, 4, 3, 3, 3, 2, 0, 1, 2, 4, 0, 3, 4, 0, 3, 3, 0, 1, 0, 2, 4, 0, 4, 3, 3, 0, 3, 3, 3, 1, 1, 2, 2, 1, 0, 4, 3, 0, 2, 4, 3, 4, 4, 3, 4, 0, 1, 4, 0, 3, 4, 1, 4, 4, 2, 3, 2, 4, 4, 0, 1, 2, 2, 0, 1, 2, 4, 3, 0, 4, 0, 2, 0, 3, 4, 3, 1, 2, 2, 1, 2, 0, 0, 1, 3, 2, 1, 0, 2, 2, 1, 0, 1, 3, 0, 0, 3, 1, 4, 2, 0, 2, 4, 1, 3, 4, 3, 3, 3, 3, 0, 3, 0, 3, 1, 1, 3, 2, 3, 4, 3, 4, 0, 0, 0, 4, 3, 4, 1, 1, 3, 4, 2, 4, 0, 0, 4, 0, 1, 4, 3, 3, 2, 3, 2, 1, 3, 2, 1, 1, 0, 3, 2, 1, 1, 1, 2, 1, 3, 4, 1, 4, 1, 1, 1, 2, 4, 0, 1, 3, 4, 0, 3, 1, 0, 4, 4, 4, 4, 1, 3, 0, 3, 3, 4, 3, 2, 4, 1, 1, 2, 0, 3, 1, 1, 3, 2, 0, 4, 0, 1, 1, 4, 4, 0, 1, 1, 4, 2, 1, 2, 3, 1, 1, 4, 1, 1, 1, 2, 4, 1, 3, 1, 3, 3, 1, 1, 1, 0, 0, 2, 4, 4, 1, 1, 1, 0, 0, 1, 1, 3, 0, 1, 4, 4, 3, 0, 1, 1, 0, 1, 1, 1, 4, 3, 0, 4, 2, 1, 4, 3, 3, 2, 0, 3, 3, 4, 1, 3, 4, 1, 4, 0, 4, 4, 4, 0, 2, 4, 1, 0, 3, 1, 3, 1, 0, 4, 0, 0, 0, 0, 0, 0, 1, 1, 3, 2, 2, 4, 0, 1, 1, 4, 3, 2, 4, 3] pubkeycol573 = [3, 3, 1, 4, 4, 3, 4, 1, 2, 1, 2, 0, 0, 0, 0, 1, 3, 0, 3, 1, 3, 1, 0, 0, 1, 1, 3, 1, 1, 3, 3, 3, 4, 0, 3, 0, 4, 4, 2, 3, 2, 0, 1, 3, 0, 1, 0, 4, 1, 3, 1, 3, 3, 2, 3, 3, 1, 4, 1, 4, 2, 1, 2, 0, 3, 1, 0, 0, 1, 2, 3, 0, 1, 1, 2, 1, 3, 4, 3, 4, 3, 3, 1, 1, 2, 2, 4, 1, 3, 0, 0, 0, 0, 1, 3, 0, 0, 1, 0, 2, 4, 4, 0, 2, 1, 1, 0, 3, 0, 0, 2, 3, 2, 2, 0, 1, 4, 2, 3, 4, 0, 2, 2, 1, 3, 3, 4, 2, 3, 1, 3, 2, 2, 4, 0, 3, 1, 4, 4, 1, 4, 3, 4, 0, 4, 1, 4, 3, 2, 4, 2, 4, 1, 3, 3, 0, 3, 3, 4, 3, 0, 1, 4, 3, 1, 2, 3, 3, 1, 4, 0, 1, 2, 0, 1, 2, 0, 1, 4, 1, 4, 1, 1, 3, 1, 1, 4, 1, 0, 1, 4, 1, 4, 2, 2, 2, 0, 3, 3, 2, 0, 0, 3, 2, 3, 1, 4, 4, 2, 2, 3, 0, 1, 1, 3, 4, 3, 2, 1, 4, 1, 4, 2, 0, 4, 3, 4, 0, 4, 4, 1, 2, 1, 3, 0, 3, 3, 0, 2, 4, 4, 0, 2, 2, 3, 0, 1, 0, 3, 4, 1, 1, 2, 4, 0, 2, 3, 2, 0, 4, 1, 3, 1, 1, 4, 0, 0, 3, 2, 1, 3, 3, 4, 3, 2, 4, 2, 0, 0, 1, 2, 3, 2, 4, 0, 1, 0, 4, 0, 0, 4, 1, 0, 3, 3, 4, 3, 4, 2, 1, 3, 4, 4, 0, 2, 3, 3, 2, 3, 0, 3, 2, 4, 1, 0, 2, 2, 4, 2, 1, 1, 1, 3, 3, 2, 3, 1, 4, 0, 1, 1, 3, 2, 1, 4, 3, 1, 0, 3, 3, 1, 4, 0, 2, 3, 2, 2, 1, 1, 0, 1, 4, 2, 0, 4, 3, 0, 0, 1, 1, 4, 0, 1, 3, 3, 0, 1, 1, 1, 4, 1, 1, 4, 4, 1, 1, 4, 2, 4, 3, 1, 3, 0, 4, 3, 3, 4, 4, 4, 4, 2, 0, 0, 0, 3, 0, 2, 1, 0, 2, 3, 2, 3, 4, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 4, 0, 2, 4, 3, 1, 1, 0, 0, 0, 1, 1, 0, 3, 2, 1, 3, 3, 0, 0, 1, 2, 4, 0, 4, 0, 0, 2, 0, 2, 3, 1, 2, 4, 2, 1, 4, 1, 3, 2, 1, 3, 0, 2, 4, 4, 3, 4, 3, 2, 4, 0, 4, 2, 4, 0, 1, 3, 2, 2, 3, 4, 1, 3, 3] pubkeycol574 = [2, 4, 1, 4, 2, 0, 3, 4, 4, 0, 4, 2, 1, 4, 4, 0, 3, 2, 4, 4, 1, 2, 3, 0, 0, 1, 4, 2, 3, 0, 2, 1, 4, 4, 2, 2, 3, 1, 4, 3, 2, 4, 2, 1, 1, 3, 4, 1, 1, 0, 3, 1, 3, 0, 4, 1, 2, 3, 1, 2, 1, 3, 2, 4, 4, 4, 2, 2, 4, 1, 2, 0, 0, 4, 0, 4, 3, 1, 3, 1, 4, 1, 0, 3, 0, 1, 0, 4, 0, 0, 0, 1, 2, 0, 3, 2, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 3, 4, 2, 4, 0, 2, 2, 2, 4, 3, 3, 3, 3, 0, 3, 3, 3, 1, 4, 0, 1, 1, 3, 2, 2, 2, 3, 4, 4, 0, 1, 1, 1, 3, 2, 1, 0, 3, 1, 4, 0, 4, 2, 2, 1, 4, 2, 4, 0, 4, 4, 1, 0, 2, 4, 2, 3, 1, 1, 2, 1, 1, 1, 3, 4, 2, 3, 0, 4, 3, 2, 2, 2, 0, 2, 1, 0, 2, 0, 3, 2, 4, 2, 3, 4, 4, 0, 2, 3, 0, 4, 1, 2, 3, 4, 1, 1, 4, 4, 2, 3, 3, 1, 0, 3, 1, 3, 4, 0, 2, 3, 3, 4, 1, 1, 4, 2, 3, 0, 2, 0, 1, 3, 4, 3, 0, 0, 2, 0, 1, 3, 1, 4, 2, 1, 4, 1, 4, 1, 0, 3, 4, 3, 0, 3, 0, 2, 1, 2, 2, 2, 0, 3, 1, 0, 4, 3, 3, 1, 4, 3, 2, 0, 3, 3, 4, 0, 3, 0, 4, 3, 3, 2, 3, 3, 4, 2, 2, 2, 4, 0, 3, 0, 4, 3, 0, 2, 4, 4, 1, 4, 1, 0, 1, 0, 4, 4, 0, 3, 4, 2, 2, 4, 3, 4, 4, 1, 1, 3, 0, 1, 2, 3, 3, 2, 2, 0, 1, 1, 3, 3, 3, 4, 3, 1, 4, 1, 4, 2, 2, 0, 4, 2, 1, 4, 2, 0, 1, 1, 0, 1, 0, 1, 4, 1, 1, 4, 4, 3, 2, 3, 0, 2, 3, 0, 1, 0, 1, 2, 3, 0, 0, 1, 4, 4, 0, 3, 2, 4, 2, 0, 4, 3, 4, 4, 2, 4, 1, 1, 2, 4, 4, 2, 1, 4, 2, 2, 4, 3, 4, 3, 2, 2, 0, 0, 1, 4, 1, 0, 2, 1, 4, 0, 4, 4, 0, 2, 1, 3, 3, 4, 1, 4, 2, 0, 0, 1, 4, 3, 1, 4, 1, 3, 2, 2, 1, 1, 0, 1, 1, 0, 3, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 4, 4, 2, 3, 0, 3, 3, 2, 2, 4, 3, 4, 2, 2, 0, 1, 4, 0, 3, 0, 0, 2, 0, 3, 4, 4, 3, 0, 1, 2] pubkeycol575 = [4, 0, 4, 4, 2, 3, 1, 4, 1, 3, 3, 1, 1, 1, 4, 3, 1, 4, 2, 0, 2, 2, 2, 3, 0, 2, 0, 3, 0, 4, 2, 0, 2, 4, 4, 0, 0, 3, 3, 2, 1, 0, 1, 4, 0, 2, 2, 0, 1, 4, 0, 1, 1, 1, 0, 0, 3, 2, 4, 3, 0, 2, 4, 3, 2, 0, 2, 0, 4, 2, 2, 3, 2, 0, 4, 0, 1, 0, 2, 4, 0, 2, 3, 4, 2, 0, 2, 4, 0, 1, 3, 0, 2, 1, 0, 4, 1, 0, 4, 2, 0, 0, 2, 3, 1, 3, 1, 2, 3, 3, 2, 4, 1, 4, 2, 4, 0, 0, 2, 2, 4, 0, 0, 2, 1, 3, 3, 3, 0, 2, 3, 0, 2, 4, 0, 3, 2, 3, 1, 3, 2, 2, 4, 1, 2, 0, 2, 1, 3, 2, 0, 3, 0, 1, 0, 3, 1, 0, 1, 4, 3, 1, 1, 3, 1, 1, 4, 0, 2, 3, 2, 1, 4, 4, 4, 4, 3, 4, 2, 1, 3, 1, 3, 2, 3, 1, 0, 1, 1, 0, 0, 0, 0, 1, 3, 3, 2, 3, 0, 1, 1, 4, 4, 0, 2, 3, 3, 1, 2, 2, 2, 0, 1, 2, 3, 2, 3, 0, 0, 1, 1, 4, 4, 2, 1, 3, 1, 2, 1, 2, 4, 1, 4, 0, 1, 0, 3, 1, 1, 3, 0, 1, 2, 4, 3, 2, 3, 4, 2, 2, 3, 4, 0, 3, 3, 4, 2, 4, 4, 3, 2, 4, 0, 3, 3, 4, 2, 1, 2, 2, 4, 0, 1, 2, 4, 1, 1, 0, 2, 3, 0, 3, 2, 0, 3, 2, 3, 3, 4, 0, 2, 0, 2, 0, 4, 2, 0, 3, 2, 1, 4, 1, 4, 3, 4, 2, 3, 0, 4, 1, 4, 4, 4, 4, 0, 0, 0, 2, 0, 0, 3, 2, 1, 0, 0, 0, 2, 3, 2, 2, 3, 1, 3, 1, 0, 1, 0, 2, 2, 4, 1, 1, 1, 4, 3, 2, 4, 3, 0, 0, 4, 1, 3, 0, 4, 0, 0, 3, 0, 0, 4, 4, 1, 2, 4, 2, 2, 2, 3, 0, 4, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 4, 4, 3, 2, 2, 3, 4, 2, 3, 0, 3, 3, 2, 0, 4, 1, 0, 3, 3, 0, 1, 3, 3, 0, 2, 0, 2, 1, 2, 4, 3, 2, 2, 0, 2, 4, 2, 0, 2, 3, 0, 0, 4, 4, 2, 0, 2, 3, 2, 0, 3, 4, 3, 1, 3, 1, 2, 3, 1, 0, 4, 0, 3, 3, 3, 2, 3, 0, 4, 4, 2, 3, 2, 4, 0, 1, 1, 3, 1, 1, 2, 2, 4, 4, 0, 4, 2, 2, 4, 0, 0, 2, 0, 1, 0, 3, 0, 1, 1] pubkeycol576 = [4, 4, 4, 4, 4, 2, 0, 0, 1, 3, 3, 4, 3, 4, 2, 1, 0, 4, 0, 1, 0, 2, 2, 1, 1, 0, 3, 3, 3, 4, 0, 3, 3, 4, 2, 3, 0, 0, 2, 3, 0, 1, 1, 1, 1, 4, 3, 3, 2, 3, 2, 4, 2, 2, 1, 3, 4, 4, 0, 2, 1, 3, 3, 1, 2, 1, 0, 2, 3, 1, 0, 4, 3, 4, 2, 2, 1, 2, 2, 3, 3, 0, 1, 4, 4, 3, 3, 4, 3, 1, 0, 0, 4, 4, 1, 2, 4, 3, 4, 3, 2, 2, 2, 0, 3, 4, 0, 4, 0, 3, 4, 2, 2, 1, 2, 4, 1, 1, 4, 4, 3, 1, 1, 2, 4, 3, 0, 1, 3, 1, 3, 2, 0, 0, 2, 1, 4, 3, 4, 4, 0, 1, 0, 2, 3, 1, 1, 1, 4, 3, 2, 4, 3, 0, 1, 0, 0, 1, 4, 4, 4, 4, 2, 4, 1, 4, 0, 1, 1, 1, 4, 0, 0, 2, 2, 3, 4, 0, 4, 1, 3, 4, 3, 1, 4, 4, 3, 2, 1, 0, 3, 4, 1, 3, 4, 4, 2, 4, 4, 2, 4, 0, 3, 0, 4, 3, 2, 3, 3, 1, 2, 1, 4, 1, 1, 0, 4, 2, 2, 1, 3, 0, 0, 1, 0, 1, 1, 0, 4, 2, 0, 4, 4, 4, 4, 3, 2, 3, 1, 4, 0, 3, 2, 3, 0, 4, 1, 4, 1, 0, 3, 4, 1, 1, 2, 2, 3, 1, 1, 3, 4, 2, 4, 2, 4, 1, 1, 0, 0, 3, 1, 1, 2, 0, 4, 1, 4, 4, 1, 4, 3, 1, 2, 2, 0, 4, 3, 3, 0, 2, 3, 4, 2, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 1, 4, 1, 3, 2, 0, 0, 4, 4, 2, 0, 3, 4, 3, 1, 4, 1, 1, 3, 0, 4, 4, 3, 0, 2, 0, 0, 4, 2, 0, 1, 4, 3, 2, 2, 1, 3, 1, 2, 3, 1, 4, 4, 0, 4, 2, 4, 0, 3, 1, 2, 4, 1, 0, 0, 4, 3, 3, 4, 0, 0, 3, 0, 0, 3, 1, 3, 3, 4, 3, 1, 3, 0, 3, 1, 0, 0, 3, 0, 3, 1, 2, 2, 4, 4, 2, 4, 2, 2, 0, 1, 0, 4, 1, 1, 3, 0, 4, 3, 0, 3, 1, 1, 4, 4, 4, 2, 1, 2, 4, 3, 3, 0, 0, 1, 3, 3, 2, 0, 3, 3, 0, 1, 1, 4, 2, 1, 1, 2, 2, 0, 3, 0, 3, 1, 0, 0, 4, 1, 2, 2, 1, 0, 1, 3, 0, 3, 1, 2, 2, 0, 1, 4, 4, 0, 0, 4, 3, 2, 0, 1, 0, 4, 4, 1, 0, 2, 0, 4, 2, 3, 4, 0, 0, 4, 4, 2] pubkeycol577 = [1, 2, 4, 2, 0, 3, 3, 3, 2, 0, 3, 1, 0, 3, 1, 0, 4, 0, 0, 3, 0, 2, 3, 2, 4, 3, 2, 0, 1, 0, 1, 2, 3, 1, 2, 4, 0, 3, 2, 0, 2, 1, 1, 4, 1, 0, 0, 3, 1, 4, 3, 4, 2, 0, 2, 4, 4, 1, 1, 0, 4, 3, 1, 2, 4, 4, 1, 1, 1, 3, 0, 2, 3, 3, 4, 2, 3, 4, 4, 2, 1, 1, 1, 3, 1, 2, 4, 0, 0, 0, 3, 2, 4, 2, 3, 3, 4, 0, 4, 2, 0, 3, 2, 1, 2, 2, 0, 3, 3, 0, 4, 1, 3, 0, 1, 2, 4, 2, 1, 4, 0, 3, 4, 0, 3, 3, 2, 4, 2, 2, 2, 2, 0, 2, 2, 4, 1, 3, 2, 3, 0, 1, 2, 1, 1, 0, 2, 2, 0, 3, 1, 4, 3, 2, 2, 4, 2, 1, 4, 3, 0, 0, 4, 1, 3, 1, 4, 0, 1, 0, 1, 4, 2, 0, 1, 4, 0, 4, 4, 0, 0, 1, 2, 3, 0, 1, 3, 1, 4, 2, 3, 2, 2, 2, 0, 2, 4, 2, 1, 2, 0, 1, 0, 4, 1, 2, 0, 0, 2, 0, 1, 0, 1, 3, 2, 1, 0, 1, 4, 3, 0, 3, 0, 1, 3, 2, 2, 3, 2, 3, 3, 2, 1, 0, 4, 4, 3, 0, 3, 0, 4, 4, 3, 1, 1, 3, 2, 4, 0, 2, 0, 2, 2, 0, 1, 3, 1, 1, 4, 2, 4, 1, 0, 1, 2, 2, 2, 0, 2, 0, 3, 1, 0, 3, 4, 2, 3, 0, 0, 1, 1, 3, 4, 0, 4, 3, 3, 4, 1, 1, 0, 3, 0, 3, 4, 1, 1, 4, 0, 0, 0, 3, 0, 3, 2, 2, 0, 4, 1, 0, 2, 3, 3, 2, 3, 4, 2, 4, 3, 0, 0, 0, 1, 2, 0, 3, 0, 3, 3, 2, 0, 2, 1, 4, 2, 4, 2, 0, 0, 1, 0, 0, 2, 1, 4, 3, 4, 4, 3, 4, 2, 0, 4, 0, 2, 0, 1, 2, 4, 4, 0, 3, 1, 1, 4, 3, 0, 4, 3, 3, 4, 1, 1, 4, 3, 1, 1, 0, 1, 2, 3, 2, 2, 2, 4, 4, 1, 1, 2, 1, 3, 3, 0, 0, 1, 4, 4, 3, 2, 3, 1, 3, 3, 3, 0, 4, 2, 2, 2, 1, 0, 1, 2, 4, 4, 0, 3, 3, 4, 4, 4, 4, 1, 3, 0, 2, 0, 3, 4, 4, 4, 2, 2, 3, 4, 2, 1, 2, 0, 2, 0, 4, 1, 2, 3, 4, 1, 0, 4, 0, 4, 1, 3, 0, 4, 3, 1, 2, 0, 4, 2, 0, 1, 1, 2, 3, 2, 0, 3, 2, 2, 3, 1, 1, 3, 0, 2, 0, 2, 3] pubkeycol578 = [1, 4, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 3, 2, 2, 1, 3, 4, 1, 4, 4, 0, 0, 0, 1, 1, 2, 3, 0, 1, 3, 2, 0, 1, 1, 2, 2, 4, 3, 0, 0, 1, 0, 2, 2, 0, 2, 3, 4, 2, 1, 0, 4, 4, 2, 1, 1, 4, 0, 4, 2, 0, 1, 3, 3, 3, 1, 1, 0, 4, 3, 2, 2, 1, 3, 2, 4, 2, 1, 2, 1, 0, 4, 2, 1, 0, 2, 4, 1, 4, 1, 1, 0, 2, 4, 4, 2, 1, 2, 3, 0, 2, 4, 2, 3, 1, 4, 1, 2, 4, 0, 3, 0, 2, 4, 1, 3, 3, 3, 3, 0, 4, 1, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 3, 3, 1, 0, 4, 0, 1, 3, 3, 4, 0, 0, 0, 1, 3, 0, 4, 0, 1, 4, 3, 0, 2, 2, 4, 2, 2, 3, 4, 2, 4, 1, 1, 0, 1, 1, 2, 1, 4, 4, 3, 0, 3, 1, 1, 2, 3, 2, 0, 2, 2, 4, 2, 0, 0, 4, 3, 4, 4, 3, 2, 1, 2, 0, 0, 2, 2, 0, 0, 3, 0, 2, 1, 4, 3, 0, 3, 0, 2, 4, 0, 2, 1, 1, 1, 4, 2, 2, 2, 3, 4, 1, 3, 0, 1, 4, 2, 4, 1, 0, 3, 0, 1, 1, 4, 1, 1, 0, 4, 4, 4, 2, 4, 3, 1, 4, 2, 1, 0, 0, 4, 4, 2, 0, 0, 3, 2, 2, 0, 2, 3, 3, 2, 4, 1, 2, 4, 0, 3, 3, 2, 2, 2, 2, 0, 2, 2, 3, 1, 0, 0, 0, 0, 4, 2, 2, 2, 2, 1, 4, 0, 3, 1, 3, 2, 0, 0, 3, 4, 2, 4, 0, 2, 1, 4, 1, 3, 4, 0, 3, 0, 0, 4, 2, 0, 0, 1, 3, 2, 3, 2, 3, 3, 0, 3, 3, 4, 4, 3, 3, 0, 1, 3, 2, 4, 0, 2, 2, 1, 3, 1, 3, 4, 0, 3, 3, 4, 1, 0, 1, 2, 4, 1, 4, 1, 0, 0, 4, 1, 3, 2, 4, 2, 4, 3, 3, 0, 0, 0, 4, 0, 3, 0, 3, 4, 2, 0, 2, 0, 2, 0, 4, 3, 1, 4, 1, 0, 4, 4, 0, 1, 4, 4, 2, 2, 1, 0, 4, 3, 2, 0, 4, 0, 2, 0, 3, 2, 1, 4, 3, 1, 0, 3, 0, 1, 4, 3, 3, 2, 4, 1, 0, 4, 2, 3, 0, 1, 0, 4, 4, 4, 3, 2, 2, 1, 2, 3, 0, 0, 0, 3, 4, 2, 2, 4, 4, 0, 3, 0, 1, 1, 0, 0, 1, 4, 1, 4, 0, 1, 1, 2, 0, 3, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 3, 3, 0] pubkeycol579 = [0, 0, 2, 2, 3, 3, 0, 4, 2, 4, 2, 3, 3, 4, 0, 3, 0, 2, 1, 3, 4, 2, 2, 0, 0, 0, 2, 2, 1, 3, 1, 3, 2, 1, 1, 1, 0, 1, 4, 2, 1, 4, 1, 2, 3, 0, 4, 3, 2, 4, 1, 0, 0, 3, 3, 1, 3, 0, 4, 3, 1, 1, 2, 4, 4, 1, 4, 1, 1, 4, 4, 3, 0, 1, 3, 0, 1, 4, 2, 3, 1, 1, 1, 4, 4, 4, 0, 3, 4, 2, 1, 3, 4, 0, 4, 0, 4, 4, 2, 0, 4, 0, 3, 1, 2, 1, 3, 1, 3, 3, 3, 4, 2, 1, 2, 4, 2, 2, 4, 2, 4, 0, 2, 3, 2, 2, 4, 2, 4, 0, 1, 4, 0, 0, 1, 1, 0, 3, 1, 2, 2, 1, 1, 3, 2, 2, 3, 3, 0, 1, 0, 4, 4, 2, 0, 1, 0, 0, 1, 0, 2, 1, 4, 1, 1, 2, 4, 3, 4, 2, 3, 3, 2, 3, 3, 2, 4, 3, 2, 3, 1, 1, 3, 4, 1, 4, 4, 3, 3, 3, 0, 4, 1, 4, 3, 4, 4, 0, 3, 2, 0, 4, 4, 4, 2, 1, 3, 0, 3, 0, 3, 4, 4, 3, 3, 4, 3, 2, 4, 2, 0, 2, 3, 3, 2, 4, 1, 1, 2, 4, 2, 2, 1, 2, 3, 3, 0, 1, 3, 2, 3, 2, 1, 3, 3, 4, 1, 2, 3, 0, 3, 4, 3, 1, 3, 0, 0, 4, 4, 1, 4, 1, 3, 0, 0, 1, 1, 4, 1, 3, 2, 4, 4, 0, 3, 0, 1, 3, 3, 2, 4, 4, 3, 1, 0, 3, 1, 4, 4, 1, 3, 0, 1, 3, 4, 2, 1, 3, 3, 3, 0, 4, 1, 3, 4, 4, 0, 2, 1, 1, 2, 1, 0, 2, 4, 3, 2, 4, 4, 0, 2, 1, 0, 3, 2, 1, 3, 0, 3, 0, 0, 3, 1, 3, 3, 1, 2, 2, 1, 0, 1, 3, 0, 1, 4, 2, 1, 0, 3, 4, 1, 1, 1, 4, 3, 3, 4, 0, 4, 0, 1, 1, 1, 2, 3, 4, 2, 3, 2, 2, 4, 3, 4, 0, 4, 0, 3, 0, 0, 4, 3, 4, 2, 1, 3, 1, 2, 3, 4, 4, 4, 4, 1, 3, 0, 1, 0, 0, 1, 3, 2, 0, 2, 0, 4, 4, 2, 2, 0, 2, 2, 1, 4, 0, 4, 3, 0, 3, 4, 4, 3, 1, 2, 2, 1, 4, 0, 1, 3, 3, 3, 4, 4, 2, 3, 4, 0, 0, 3, 2, 2, 0, 0, 3, 3, 4, 2, 2, 2, 1, 3, 3, 1, 3, 4, 0, 0, 1, 2, 0, 4, 1, 3, 3, 2, 4, 0, 0, 0, 2, 2, 4, 3, 4, 2, 2, 3, 4, 1, 2] pubkeycol580 = [2, 0, 1, 4, 4, 0, 3, 2, 3, 3, 1, 1, 4, 4, 4, 3, 0, 1, 3, 4, 1, 4, 4, 4, 4, 3, 0, 4, 2, 4, 2, 2, 2, 0, 4, 2, 4, 1, 4, 0, 4, 1, 2, 3, 1, 1, 0, 2, 1, 4, 0, 4, 3, 2, 2, 2, 3, 0, 2, 4, 2, 0, 0, 0, 3, 0, 2, 0, 2, 3, 3, 2, 3, 1, 4, 0, 2, 4, 2, 4, 0, 2, 1, 2, 0, 0, 2, 3, 1, 1, 3, 2, 2, 4, 2, 3, 4, 1, 3, 1, 4, 0, 4, 4, 2, 2, 4, 0, 0, 4, 2, 4, 3, 4, 3, 4, 4, 2, 2, 1, 1, 4, 0, 1, 2, 2, 3, 1, 4, 2, 0, 2, 0, 3, 2, 3, 3, 2, 2, 3, 4, 0, 1, 3, 0, 2, 1, 2, 0, 4, 4, 2, 4, 4, 1, 4, 1, 4, 1, 0, 4, 4, 0, 1, 1, 0, 2, 1, 0, 2, 3, 3, 1, 0, 0, 4, 1, 0, 0, 0, 4, 2, 3, 1, 1, 2, 1, 2, 4, 0, 2, 1, 4, 3, 0, 1, 1, 2, 1, 0, 4, 0, 2, 4, 3, 4, 2, 0, 3, 1, 4, 1, 4, 0, 4, 0, 4, 0, 0, 4, 1, 3, 4, 4, 2, 1, 3, 1, 4, 3, 1, 1, 0, 2, 4, 0, 2, 1, 4, 0, 2, 2, 3, 0, 1, 2, 4, 4, 3, 3, 3, 1, 3, 0, 3, 4, 1, 4, 3, 0, 4, 2, 4, 1, 2, 1, 3, 3, 1, 2, 3, 2, 1, 2, 2, 4, 4, 4, 0, 0, 4, 3, 0, 3, 4, 1, 0, 4, 2, 0, 3, 3, 3, 4, 3, 1, 2, 1, 0, 3, 1, 1, 1, 3, 0, 4, 4, 1, 0, 4, 1, 1, 2, 1, 4, 4, 4, 2, 1, 2, 1, 1, 3, 4, 4, 0, 0, 3, 0, 3, 3, 2, 0, 3, 2, 3, 2, 2, 0, 3, 2, 2, 1, 3, 1, 0, 3, 1, 1, 2, 0, 0, 2, 1, 2, 1, 3, 2, 2, 1, 3, 2, 0, 3, 4, 1, 3, 0, 1, 3, 0, 0, 2, 4, 2, 2, 1, 1, 1, 4, 1, 4, 2, 2, 3, 4, 4, 3, 1, 0, 3, 2, 3, 2, 3, 1, 2, 3, 0, 0, 3, 2, 2, 1, 0, 0, 0, 3, 2, 4, 0, 3, 1, 4, 3, 1, 1, 0, 2, 1, 1, 4, 2, 0, 1, 3, 1, 4, 3, 2, 4, 1, 1, 2, 4, 4, 2, 4, 3, 4, 0, 4, 3, 1, 2, 1, 2, 4, 4, 3, 2, 2, 1, 4, 2, 1, 1, 0, 2, 1, 1, 3, 4, 2, 2, 1, 0, 2, 4, 1, 1, 0, 0, 2, 3, 0, 4, 1, 1, 2] pubkeycol581 = [1, 2, 0, 1, 1, 1, 3, 2, 2, 4, 2, 4, 4, 2, 2, 2, 2, 1, 2, 1, 4, 2, 2, 4, 3, 3, 1, 4, 0, 1, 3, 2, 0, 1, 0, 0, 0, 2, 0, 1, 4, 2, 1, 4, 1, 2, 2, 1, 0, 1, 1, 1, 4, 0, 2, 1, 2, 2, 2, 2, 4, 1, 2, 1, 0, 4, 1, 2, 1, 1, 4, 3, 0, 1, 0, 4, 1, 1, 1, 3, 3, 3, 2, 2, 0, 4, 0, 1, 4, 2, 0, 0, 4, 1, 4, 0, 1, 2, 4, 2, 3, 4, 0, 1, 0, 1, 3, 2, 0, 0, 0, 3, 2, 3, 4, 1, 4, 0, 1, 2, 2, 4, 0, 3, 4, 3, 2, 1, 1, 4, 4, 4, 2, 3, 3, 4, 4, 1, 0, 1, 1, 4, 0, 2, 0, 4, 0, 4, 0, 2, 4, 2, 1, 1, 2, 1, 3, 3, 0, 4, 1, 2, 2, 4, 4, 0, 4, 4, 2, 2, 2, 1, 0, 1, 2, 0, 4, 3, 4, 2, 2, 4, 1, 4, 3, 3, 0, 0, 2, 3, 0, 0, 0, 3, 0, 4, 0, 1, 4, 1, 2, 3, 1, 0, 2, 1, 1, 4, 2, 3, 0, 4, 1, 0, 3, 1, 3, 2, 1, 4, 1, 2, 3, 4, 1, 2, 0, 0, 0, 3, 0, 3, 0, 4, 0, 2, 3, 2, 1, 2, 2, 0, 4, 4, 2, 0, 0, 3, 1, 4, 3, 3, 4, 2, 0, 4, 1, 3, 4, 3, 3, 0, 0, 3, 4, 1, 3, 2, 4, 0, 3, 2, 2, 4, 2, 3, 0, 3, 4, 1, 4, 3, 4, 0, 2, 3, 2, 2, 3, 0, 4, 3, 1, 3, 2, 3, 3, 4, 0, 4, 2, 1, 1, 4, 4, 0, 2, 2, 2, 4, 2, 1, 2, 1, 1, 3, 1, 0, 4, 3, 0, 4, 1, 1, 4, 2, 4, 0, 0, 2, 4, 4, 2, 3, 3, 4, 3, 4, 0, 2, 4, 1, 0, 4, 1, 4, 3, 3, 1, 2, 4, 2, 4, 0, 3, 1, 0, 1, 3, 4, 3, 4, 1, 1, 3, 3, 0, 1, 3, 4, 1, 1, 0, 0, 2, 2, 1, 2, 4, 3, 0, 3, 2, 2, 2, 0, 0, 0, 1, 3, 3, 0, 1, 1, 1, 0, 4, 3, 2, 1, 4, 1, 0, 0, 1, 1, 0, 1, 1, 2, 4, 2, 4, 1, 1, 4, 2, 2, 1, 0, 1, 0, 4, 0, 0, 2, 2, 3, 0, 4, 4, 0, 0, 3, 3, 0, 2, 4, 1, 2, 0, 4, 2, 2, 3, 1, 2, 2, 0, 4, 0, 4, 3, 3, 3, 4, 4, 0, 0, 2, 1, 3, 3, 3, 0, 0, 1, 2, 1, 0, 4, 3, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol582 = [3, 4, 0, 4, 4, 0, 1, 1, 0, 1, 4, 3, 0, 0, 2, 0, 3, 2, 3, 3, 4, 0, 4, 0, 2, 3, 0, 2, 1, 3, 0, 0, 2, 1, 4, 0, 1, 2, 3, 2, 2, 1, 0, 3, 4, 3, 2, 1, 4, 2, 0, 3, 1, 4, 1, 0, 3, 0, 4, 0, 0, 0, 1, 4, 0, 0, 1, 3, 2, 3, 0, 1, 3, 4, 4, 1, 3, 3, 3, 3, 3, 4, 4, 3, 2, 4, 0, 2, 2, 2, 0, 2, 3, 4, 4, 0, 0, 3, 2, 0, 4, 2, 3, 4, 0, 3, 4, 4, 0, 1, 4, 1, 2, 2, 0, 3, 3, 3, 2, 4, 0, 3, 3, 0, 0, 4, 0, 2, 0, 4, 4, 2, 0, 4, 4, 0, 3, 1, 0, 3, 2, 2, 2, 0, 3, 4, 2, 4, 4, 1, 0, 3, 2, 3, 4, 4, 4, 3, 0, 4, 2, 1, 2, 1, 3, 1, 4, 1, 2, 2, 2, 0, 0, 3, 4, 4, 4, 2, 3, 0, 2, 1, 4, 1, 2, 1, 3, 1, 3, 1, 4, 1, 3, 2, 1, 0, 4, 0, 4, 2, 2, 1, 0, 1, 1, 0, 4, 1, 4, 2, 0, 3, 2, 1, 1, 1, 3, 1, 4, 1, 0, 0, 4, 3, 4, 3, 0, 4, 0, 2, 2, 0, 0, 2, 1, 0, 2, 4, 1, 3, 4, 1, 0, 1, 0, 2, 3, 4, 1, 0, 3, 1, 3, 0, 0, 2, 0, 3, 3, 0, 3, 3, 2, 0, 0, 4, 3, 3, 4, 0, 2, 4, 3, 2, 4, 2, 3, 0, 2, 1, 0, 3, 0, 3, 2, 2, 4, 0, 4, 3, 1, 3, 1, 0, 3, 1, 4, 1, 0, 0, 1, 4, 1, 3, 3, 1, 0, 4, 3, 3, 1, 1, 3, 1, 1, 4, 4, 1, 3, 1, 3, 1, 3, 2, 1, 1, 4, 2, 0, 3, 4, 0, 4, 3, 2, 4, 2, 0, 4, 2, 4, 1, 3, 2, 4, 2, 1, 2, 0, 2, 1, 0, 3, 3, 3, 4, 2, 2, 0, 2, 3, 1, 4, 1, 1, 4, 3, 1, 1, 2, 1, 0, 3, 2, 3, 3, 4, 3, 0, 0, 4, 1, 3, 0, 0, 4, 0, 1, 1, 2, 3, 1, 1, 0, 4, 0, 3, 0, 1, 4, 4, 0, 2, 2, 0, 3, 3, 2, 4, 1, 2, 2, 1, 1, 4, 0, 3, 0, 1, 2, 2, 2, 2, 4, 3, 1, 0, 2, 1, 0, 3, 0, 4, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 2, 3, 4, 3, 3, 2, 4, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 3, 3, 1, 2, 0, 4, 1, 3, 1, 3, 4, 0, 1, 2, 1, 1, 2] pubkeycol583 = [2, 1, 3, 0, 3, 4, 4, 1, 2, 0, 3, 2, 3, 0, 2, 0, 1, 2, 0, 4, 3, 1, 4, 3, 4, 3, 4, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 1, 4, 0, 3, 2, 1, 3, 1, 1, 4, 2, 1, 2, 1, 1, 3, 3, 3, 2, 2, 1, 2, 2, 4, 3, 3, 0, 3, 3, 1, 1, 1, 1, 1, 0, 0, 1, 4, 1, 1, 4, 1, 2, 4, 2, 0, 4, 2, 1, 4, 4, 3, 3, 4, 3, 3, 2, 0, 1, 3, 1, 3, 3, 4, 1, 4, 1, 3, 2, 0, 3, 4, 3, 4, 3, 1, 3, 4, 1, 3, 3, 3, 3, 0, 2, 0, 2, 1, 2, 1, 1, 3, 3, 1, 4, 0, 4, 3, 0, 1, 4, 3, 3, 4, 3, 4, 4, 0, 1, 1, 4, 1, 1, 1, 4, 0, 4, 2, 4, 4, 3, 1, 1, 3, 0, 4, 0, 4, 0, 1, 0, 4, 3, 4, 1, 4, 2, 4, 0, 0, 2, 0, 0, 0, 3, 0, 1, 4, 1, 1, 3, 2, 0, 2, 0, 3, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 3, 0, 0, 3, 4, 3, 1, 1, 4, 1, 4, 1, 4, 2, 0, 4, 0, 4, 2, 4, 0, 4, 2, 1, 2, 4, 3, 4, 2, 2, 0, 1, 3, 0, 1, 0, 2, 2, 2, 1, 4, 4, 1, 4, 1, 4, 4, 0, 0, 4, 2, 0, 1, 1, 4, 1, 1, 2, 1, 2, 4, 1, 1, 4, 1, 1, 2, 3, 4, 2, 2, 1, 2, 1, 4, 3, 3, 0, 0, 2, 3, 1, 0, 2, 3, 4, 0, 2, 0, 4, 3, 2, 2, 0, 4, 0, 3, 4, 3, 2, 1, 3, 0, 4, 1, 2, 0, 0, 2, 0, 2, 2, 0, 3, 3, 0, 2, 0, 0, 2, 1, 1, 4, 1, 0, 4, 1, 3, 4, 4, 0, 1, 2, 2, 0, 1, 0, 2, 2, 3, 1, 3, 1, 1, 3, 3, 1, 4, 4, 1, 2, 2, 1, 2, 2, 0, 3, 1, 1, 3, 3, 4, 1, 1, 1, 4, 2, 4, 2, 3, 1, 2, 3, 3, 3, 2, 1, 3, 3, 0, 4, 3, 2, 3, 0, 4, 0, 4, 0, 2, 0, 3, 2, 4, 1, 3, 0, 2, 3, 1, 2, 2, 1, 4, 3, 0, 4, 3, 1, 3, 0, 1, 4, 1, 2, 1, 3, 4, 2, 1, 1, 1, 2, 2, 3, 4, 2, 1, 2, 2, 0, 0, 1, 1, 2, 3, 1, 4, 1, 4, 1, 2, 4, 2, 3, 1, 0, 1, 0, 1, 1, 3, 2, 0, 4, 3, 3, 2, 4, 3, 3, 0, 0, 1, 0, 0, 1, 4, 0, 0, 2, 1, 0, 2] pubkeycol584 = [2, 4, 4, 4, 0, 1, 1, 1, 2, 1, 1, 4, 0, 0, 0, 4, 3, 1, 4, 4, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 4, 0, 1, 2, 4, 1, 1, 2, 3, 1, 3, 4, 0, 3, 3, 3, 3, 1, 0, 4, 2, 4, 0, 2, 2, 3, 3, 4, 3, 0, 0, 4, 0, 3, 3, 0, 3, 2, 4, 1, 3, 2, 3, 1, 1, 2, 3, 1, 0, 1, 3, 3, 2, 0, 1, 0, 4, 1, 1, 3, 0, 2, 4, 1, 0, 4, 2, 4, 1, 3, 1, 0, 2, 4, 2, 4, 2, 2, 3, 3, 2, 1, 0, 1, 2, 4, 1, 1, 4, 4, 1, 0, 4, 4, 3, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 3, 0, 1, 1, 2, 3, 1, 3, 4, 0, 3, 2, 3, 2, 1, 4, 0, 3, 3, 2, 1, 4, 2, 4, 1, 3, 0, 4, 0, 2, 4, 4, 3, 4, 3, 3, 4, 1, 4, 0, 3, 0, 0, 0, 1, 3, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 2, 2, 2, 1, 3, 2, 0, 4, 1, 4, 4, 2, 0, 1, 1, 4, 1, 4, 2, 0, 3, 0, 2, 3, 3, 1, 0, 1, 2, 2, 2, 4, 0, 2, 1, 1, 3, 2, 2, 3, 1, 3, 3, 2, 2, 2, 4, 2, 3, 0, 0, 3, 3, 2, 4, 1, 3, 2, 3, 0, 4, 0, 0, 1, 1, 4, 0, 1, 3, 0, 4, 2, 4, 0, 0, 0, 0, 2, 4, 4, 0, 1, 3, 1, 1, 3, 4, 4, 1, 1, 1, 4, 0, 1, 0, 0, 4, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 4, 3, 3, 4, 3, 0, 0, 4, 1, 3, 2, 3, 3, 3, 0, 0, 2, 0, 3, 2, 3, 0, 2, 3, 2, 3, 0, 1, 0, 2, 2, 0, 4, 0, 4, 0, 2, 3, 4, 0, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 4, 1, 4, 3, 2, 4, 2, 0, 1, 1, 2, 4, 0, 3, 2, 1, 0, 2, 0, 4, 2, 4, 2, 3, 1, 2, 1, 3, 4, 1, 2, 0, 4, 2, 4, 0, 4, 2, 1, 3, 0, 3, 1, 1, 1, 3, 3, 4, 3, 4, 1, 0, 3, 0, 0, 4, 4, 4, 4, 0, 2, 4, 1, 4, 2, 1, 1, 1, 0, 3, 1, 2, 1, 0, 1, 4, 4, 3, 3, 1, 3, 4, 1, 0, 3, 2, 0, 1, 1, 1, 3, 0, 3, 1, 2, 4, 2, 3, 0, 4, 0, 2, 3, 2, 2, 3, 4, 1, 3, 2, 0, 2, 1, 4, 1, 2, 3, 0, 0, 4, 0, 0, 1, 1, 4, 3, 3, 2] pubkeycol585 = [4, 2, 2, 2, 4, 3, 1, 2, 4, 1, 2, 2, 1, 3, 4, 2, 2, 3, 4, 2, 3, 4, 0, 3, 0, 3, 4, 4, 3, 2, 0, 4, 3, 3, 2, 4, 3, 1, 2, 2, 2, 1, 0, 0, 3, 4, 3, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 4, 2, 0, 0, 2, 1, 2, 4, 2, 2, 3, 0, 2, 1, 0, 0, 1, 0, 4, 1, 3, 4, 2, 2, 1, 3, 3, 2, 0, 0, 0, 0, 0, 0, 2, 4, 0, 1, 1, 3, 2, 0, 1, 3, 2, 0, 1, 3, 0, 0, 4, 1, 3, 4, 1, 3, 4, 4, 1, 3, 2, 4, 2, 0, 4, 2, 3, 3, 4, 0, 2, 0, 4, 0, 1, 1, 0, 0, 1, 3, 1, 0, 4, 3, 2, 3, 2, 2, 4, 2, 2, 0, 3, 4, 0, 4, 2, 2, 1, 0, 2, 3, 4, 0, 3, 1, 2, 0, 1, 3, 2, 2, 4, 3, 0, 0, 1, 2, 0, 4, 2, 3, 4, 0, 4, 2, 3, 2, 2, 2, 1, 2, 3, 3, 1, 0, 0, 1, 2, 2, 4, 4, 2, 1, 3, 1, 3, 4, 1, 0, 4, 0, 3, 0, 0, 0, 2, 1, 3, 3, 2, 2, 3, 2, 4, 1, 0, 0, 3, 3, 3, 0, 4, 4, 0, 2, 2, 4, 2, 2, 3, 1, 3, 2, 0, 0, 0, 1, 2, 3, 2, 3, 3, 3, 4, 0, 3, 4, 2, 4, 0, 2, 4, 2, 3, 2, 1, 0, 1, 1, 0, 0, 2, 2, 3, 3, 4, 0, 2, 2, 0, 2, 0, 0, 1, 2, 3, 1, 4, 1, 1, 1, 1, 4, 3, 1, 3, 3, 1, 2, 4, 0, 2, 0, 1, 2, 2, 1, 1, 2, 3, 3, 0, 0, 2, 4, 0, 0, 3, 1, 1, 3, 0, 0, 2, 4, 2, 0, 4, 0, 3, 0, 4, 4, 3, 4, 4, 0, 1, 0, 1, 0, 2, 0, 1, 1, 3, 4, 1, 1, 4, 4, 1, 3, 4, 0, 4, 1, 2, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 3, 2, 0, 3, 3, 2, 1, 2, 3, 2, 3, 3, 3, 2, 4, 1, 0, 4, 2, 0, 0, 2, 4, 0, 4, 1, 4, 2, 3, 4, 4, 3, 1, 0, 3, 3, 4, 2, 4, 2, 4, 1, 2, 2, 3, 4, 3, 3, 4, 4, 2, 4, 2, 2, 1, 1, 4, 3, 0, 3, 2, 4, 3, 4, 0, 4, 3, 2, 1, 0, 2, 2, 1, 0, 3, 3, 2, 0, 0, 1, 3, 4, 2, 0, 1, 0, 2, 4, 2, 1, 3, 4, 1, 3, 0, 1, 0, 2, 4, 4, 4, 1] pubkeycol586 = [2, 0, 4, 1, 1, 2, 4, 2, 0, 0, 0, 2, 4, 2, 0, 1, 2, 1, 0, 4, 2, 1, 1, 0, 1, 1, 3, 0, 3, 4, 1, 0, 2, 0, 3, 4, 0, 1, 3, 0, 3, 2, 2, 1, 1, 4, 4, 3, 4, 0, 4, 3, 2, 0, 2, 0, 0, 4, 2, 2, 4, 0, 4, 1, 2, 1, 1, 3, 1, 2, 1, 3, 1, 2, 1, 2, 0, 0, 3, 3, 1, 3, 2, 1, 1, 2, 2, 4, 1, 2, 2, 0, 2, 0, 3, 3, 3, 3, 3, 4, 0, 1, 3, 3, 2, 1, 3, 2, 1, 2, 4, 2, 4, 3, 4, 0, 3, 3, 4, 3, 3, 3, 1, 2, 4, 1, 4, 2, 1, 1, 2, 2, 0, 4, 4, 1, 1, 3, 4, 1, 0, 2, 4, 3, 0, 4, 2, 3, 2, 4, 0, 1, 3, 3, 0, 3, 1, 3, 1, 3, 1, 3, 3, 3, 4, 2, 4, 4, 3, 3, 2, 2, 2, 4, 2, 1, 0, 1, 4, 4, 3, 3, 3, 3, 3, 0, 3, 3, 2, 3, 0, 0, 2, 1, 3, 1, 3, 2, 0, 1, 0, 2, 2, 3, 1, 1, 3, 1, 4, 0, 1, 2, 2, 2, 0, 2, 1, 3, 1, 1, 4, 3, 0, 4, 3, 2, 3, 2, 0, 4, 2, 2, 1, 2, 4, 3, 4, 2, 4, 0, 4, 2, 1, 4, 4, 1, 3, 3, 2, 3, 1, 1, 0, 1, 0, 4, 2, 2, 3, 0, 3, 1, 3, 3, 4, 4, 2, 4, 1, 2, 1, 2, 2, 4, 4, 0, 4, 4, 1, 1, 3, 2, 4, 1, 1, 4, 0, 2, 1, 4, 2, 2, 2, 3, 0, 0, 1, 0, 3, 1, 0, 1, 4, 0, 2, 2, 0, 4, 3, 1, 4, 1, 4, 0, 4, 3, 3, 1, 2, 3, 4, 4, 1, 0, 3, 4, 4, 4, 0, 4, 1, 3, 3, 1, 3, 0, 1, 4, 1, 4, 4, 4, 1, 1, 0, 1, 0, 4, 2, 3, 2, 0, 2, 3, 1, 4, 1, 0, 2, 0, 3, 0, 3, 2, 4, 2, 1, 4, 0, 1, 4, 2, 1, 1, 2, 2, 0, 2, 3, 0, 3, 4, 1, 3, 3, 0, 1, 4, 3, 2, 1, 3, 2, 0, 3, 0, 2, 4, 3, 1, 4, 4, 1, 3, 0, 1, 3, 1, 0, 4, 1, 1, 1, 0, 4, 3, 3, 4, 4, 0, 0, 3, 0, 2, 0, 3, 3, 4, 2, 1, 3, 2, 0, 1, 4, 0, 0, 1, 4, 4, 2, 0, 0, 4, 0, 2, 1, 4, 1, 4, 2, 4, 2, 4, 4, 3, 2, 2, 1, 4, 3, 4, 3, 0, 0, 0, 0, 2, 1, 1, 0, 0, 4, 1, 4, 0, 2, 0, 1, 1] pubkeycol587 = [2, 1, 1, 0, 4, 2, 3, 1, 2, 4, 4, 1, 4, 0, 3, 1, 2, 3, 3, 0, 0, 0, 0, 3, 3, 4, 2, 3, 2, 4, 4, 3, 4, 4, 3, 0, 3, 1, 0, 0, 3, 2, 2, 1, 0, 3, 4, 1, 3, 1, 0, 1, 1, 4, 4, 0, 4, 4, 4, 4, 2, 2, 0, 3, 0, 3, 4, 2, 4, 4, 4, 0, 3, 3, 1, 4, 0, 2, 1, 0, 0, 3, 2, 3, 0, 3, 3, 1, 0, 4, 4, 2, 3, 1, 1, 2, 2, 1, 1, 3, 1, 1, 0, 0, 0, 1, 0, 3, 2, 2, 1, 2, 2, 0, 3, 4, 4, 1, 0, 1, 0, 2, 0, 2, 1, 4, 1, 3, 2, 3, 4, 3, 3, 0, 4, 4, 3, 4, 4, 3, 4, 4, 3, 2, 2, 3, 4, 0, 4, 0, 0, 2, 3, 4, 0, 4, 0, 3, 4, 4, 3, 2, 1, 2, 4, 0, 4, 0, 3, 3, 2, 4, 1, 0, 3, 4, 3, 2, 2, 4, 3, 1, 2, 2, 3, 4, 1, 0, 3, 2, 2, 1, 1, 4, 4, 1, 0, 0, 3, 0, 0, 3, 0, 4, 1, 1, 1, 1, 2, 3, 2, 0, 4, 1, 3, 4, 1, 2, 2, 3, 2, 4, 3, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 3, 2, 2, 2, 2, 0, 0, 4, 2, 4, 0, 2, 0, 1, 2, 3, 4, 2, 0, 0, 4, 2, 3, 4, 2, 2, 3, 0, 0, 4, 3, 2, 2, 4, 1, 1, 1, 1, 1, 2, 4, 3, 4, 3, 0, 2, 1, 2, 4, 4, 3, 3, 3, 4, 4, 2, 0, 0, 4, 3, 3, 3, 0, 2, 1, 1, 1, 3, 4, 2, 0, 1, 4, 3, 2, 0, 4, 2, 3, 4, 3, 2, 0, 0, 2, 1, 2, 0, 3, 2, 4, 1, 2, 2, 0, 2, 3, 1, 0, 3, 0, 4, 1, 0, 4, 1, 1, 0, 3, 2, 3, 1, 1, 2, 2, 4, 0, 2, 0, 0, 0, 0, 2, 3, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 3, 4, 3, 1, 2, 1, 0, 3, 3, 1, 0, 0, 1, 0, 3, 2, 0, 2, 3, 3, 0, 4, 2, 0, 4, 1, 3, 0, 1, 1, 4, 0, 1, 4, 0, 1, 2, 1, 3, 3, 3, 0, 4, 4, 2, 2, 4, 3, 3, 0, 1, 4, 1, 0, 4, 3, 4, 1, 4, 0, 1, 0, 0, 3, 1, 3, 0, 4, 3, 1, 4, 4, 0, 4, 1, 3, 2, 2, 3, 3, 0, 0, 0, 0, 3, 0, 4, 1, 3, 0, 1, 3, 4, 3, 0, 0, 0, 1, 2, 2, 3, 0, 3, 4, 0, 3, 4, 1, 1, 1] pubkeycol588 = [4, 4, 4, 2, 2, 2, 4, 4, 0, 1, 3, 3, 1, 0, 0, 1, 0, 0, 0, 4, 1, 1, 1, 1, 3, 4, 0, 3, 1, 2, 0, 1, 0, 3, 2, 1, 0, 2, 3, 3, 0, 2, 1, 3, 2, 4, 4, 3, 1, 3, 0, 3, 0, 1, 0, 2, 1, 4, 3, 2, 1, 4, 3, 2, 2, 1, 3, 0, 1, 4, 4, 2, 2, 3, 2, 3, 0, 4, 3, 2, 3, 2, 2, 4, 4, 0, 4, 4, 0, 3, 1, 2, 0, 1, 1, 2, 0, 2, 3, 2, 0, 4, 0, 4, 1, 1, 0, 1, 0, 1, 1, 4, 1, 2, 3, 0, 2, 3, 1, 1, 0, 2, 0, 4, 3, 1, 2, 1, 1, 2, 1, 1, 1, 3, 2, 2, 3, 4, 0, 4, 1, 0, 3, 3, 0, 4, 4, 0, 3, 0, 3, 1, 3, 0, 0, 0, 2, 3, 0, 0, 0, 0, 1, 1, 0, 0, 3, 2, 1, 2, 0, 3, 4, 2, 4, 3, 1, 1, 4, 0, 1, 3, 4, 0, 4, 0, 4, 1, 4, 1, 1, 2, 3, 2, 2, 4, 4, 0, 1, 1, 2, 3, 3, 4, 1, 1, 1, 1, 2, 4, 1, 2, 2, 0, 2, 0, 4, 0, 3, 4, 3, 3, 0, 4, 1, 0, 2, 4, 2, 4, 1, 2, 4, 2, 3, 0, 2, 4, 1, 1, 0, 1, 4, 1, 3, 3, 0, 2, 1, 0, 0, 2, 0, 1, 4, 2, 0, 4, 3, 0, 1, 1, 1, 0, 3, 2, 1, 3, 4, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 3, 4, 0, 2, 4, 4, 2, 4, 2, 4, 4, 4, 0, 0, 3, 2, 0, 3, 2, 3, 2, 4, 1, 3, 4, 1, 2, 0, 3, 0, 2, 0, 2, 1, 3, 1, 4, 3, 3, 2, 0, 0, 3, 0, 2, 2, 4, 1, 4, 4, 2, 1, 3, 2, 2, 3, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 3, 4, 4, 0, 3, 4, 3, 1, 1, 1, 2, 2, 4, 4, 0, 4, 3, 3, 1, 4, 2, 1, 2, 3, 2, 0, 3, 2, 2, 1, 3, 1, 0, 3, 4, 2, 3, 2, 1, 2, 0, 3, 0, 3, 0, 3, 4, 2, 1, 2, 1, 2, 0, 2, 0, 0, 3, 0, 4, 3, 3, 4, 2, 4, 0, 4, 3, 4, 3, 2, 4, 0, 3, 3, 3, 1, 4, 0, 0, 1, 1, 2, 1, 1, 1, 3, 1, 3, 0, 3, 3, 2, 1, 0, 1, 1, 3, 1, 3, 2, 0, 2, 3, 2, 4, 4, 0, 0, 1, 4, 0, 0, 0, 0, 0, 3, 1, 1, 3, 2, 3, 1, 3, 0] pubkeycol589 = [2, 4, 1, 1, 0, 2, 3, 1, 2, 4, 0, 0, 1, 4, 2, 0, 0, 3, 4, 0, 2, 0, 4, 2, 4, 0, 3, 0, 4, 3, 3, 0, 2, 0, 4, 0, 2, 0, 2, 1, 1, 0, 3, 2, 4, 4, 1, 1, 4, 4, 2, 4, 4, 2, 2, 3, 3, 0, 4, 1, 1, 4, 1, 4, 3, 0, 0, 4, 1, 3, 3, 2, 0, 2, 1, 1, 2, 4, 0, 4, 4, 0, 4, 3, 4, 2, 3, 3, 2, 3, 1, 2, 2, 3, 0, 2, 0, 4, 1, 2, 1, 0, 0, 3, 3, 3, 4, 0, 3, 1, 2, 0, 1, 4, 0, 4, 0, 2, 4, 1, 4, 1, 3, 1, 3, 1, 1, 0, 0, 2, 2, 1, 3, 0, 2, 4, 2, 4, 4, 4, 2, 4, 4, 0, 2, 4, 2, 1, 2, 2, 0, 4, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 3, 4, 0, 4, 2, 0, 2, 2, 3, 1, 1, 1, 3, 1, 4, 2, 2, 2, 2, 0, 3, 2, 4, 1, 4, 4, 0, 2, 0, 3, 2, 1, 2, 0, 2, 3, 0, 1, 3, 0, 1, 0, 0, 0, 4, 2, 4, 3, 1, 3, 2, 4, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 4, 2, 3, 2, 3, 0, 0, 4, 1, 2, 2, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 4, 4, 4, 3, 2, 2, 0, 0, 2, 3, 3, 1, 3, 3, 1, 2, 4, 4, 0, 1, 2, 3, 2, 3, 0, 0, 1, 2, 4, 1, 2, 3, 2, 2, 1, 4, 2, 1, 4, 2, 2, 4, 4, 3, 4, 1, 0, 0, 4, 4, 3, 4, 2, 1, 1, 1, 1, 2, 4, 1, 0, 4, 4, 4, 2, 2, 2, 0, 1, 2, 4, 4, 4, 0, 2, 2, 3, 0, 4, 4, 3, 2, 0, 4, 1, 1, 2, 0, 2, 3, 3, 2, 2, 3, 1, 2, 4, 1, 1, 0, 4, 1, 1, 0, 4, 2, 0, 1, 4, 1, 4, 2, 2, 2, 0, 0, 3, 3, 2, 3, 0, 0, 2, 3, 1, 0, 0, 3, 2, 2, 2, 3, 1, 2, 4, 1, 2, 2, 3, 1, 1, 2, 1, 4, 4, 1, 0, 0, 0, 3, 2, 0, 3, 2, 1, 2, 4, 4, 2, 3, 0, 4, 4, 1, 2, 2, 4, 1, 1, 4, 4, 1, 4, 4, 1, 3, 3, 3, 0, 0, 2, 2, 2, 3, 2, 1, 0, 3, 0, 4, 4, 0, 4, 0, 3, 2, 1, 0, 3, 3, 3, 0, 1, 1, 4, 3, 1, 0, 4, 2, 0, 2, 2, 2, 1, 4, 4, 2, 2, 4, 0, 0, 4, 4, 2, 1, 1, 2, 2, 4, 1, 2, 3] pubkeycol590 = [3, 0, 1, 3, 1, 1, 0, 0, 3, 4, 0, 3, 1, 1, 4, 4, 2, 3, 2, 1, 3, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 4, 2, 1, 3, 2, 2, 1, 1, 0, 2, 3, 2, 3, 3, 0, 3, 3, 0, 3, 2, 3, 1, 0, 0, 2, 0, 4, 2, 1, 1, 0, 1, 3, 0, 1, 3, 1, 0, 4, 0, 4, 1, 1, 3, 3, 1, 2, 2, 3, 0, 3, 0, 2, 1, 1, 0, 0, 0, 1, 3, 4, 1, 3, 3, 4, 4, 3, 1, 3, 0, 0, 2, 3, 2, 2, 3, 4, 2, 2, 1, 3, 0, 2, 0, 2, 2, 0, 2, 0, 4, 1, 0, 0, 2, 0, 3, 3, 2, 2, 3, 3, 4, 4, 1, 0, 3, 2, 4, 3, 4, 1, 3, 0, 1, 3, 4, 0, 3, 4, 4, 0, 1, 3, 4, 3, 0, 0, 1, 0, 0, 4, 3, 1, 3, 3, 0, 0, 1, 0, 3, 3, 0, 0, 0, 4, 3, 0, 2, 2, 1, 1, 4, 1, 4, 2, 3, 4, 2, 2, 0, 2, 1, 1, 3, 3, 2, 1, 1, 1, 3, 2, 1, 3, 0, 4, 4, 4, 4, 4, 4, 3, 2, 3, 3, 4, 1, 2, 0, 2, 0, 2, 1, 3, 3, 2, 2, 4, 3, 1, 2, 2, 2, 3, 3, 4, 1, 3, 2, 4, 3, 3, 1, 2, 0, 2, 3, 0, 0, 1, 3, 2, 1, 4, 4, 1, 1, 4, 2, 2, 0, 1, 2, 1, 1, 0, 0, 3, 1, 4, 2, 2, 0, 1, 0, 3, 3, 3, 2, 1, 4, 3, 4, 3, 2, 3, 3, 1, 2, 2, 4, 4, 3, 2, 2, 4, 4, 0, 3, 3, 3, 1, 0, 4, 3, 1, 4, 2, 3, 1, 3, 2, 4, 1, 3, 2, 0, 2, 3, 3, 0, 1, 2, 0, 2, 1, 2, 1, 3, 3, 1, 1, 0, 1, 0, 4, 4, 3, 1, 1, 4, 4, 2, 0, 4, 1, 3, 2, 2, 4, 2, 3, 4, 2, 0, 4, 0, 4, 1, 3, 0, 4, 1, 3, 2, 3, 4, 0, 3, 1, 3, 1, 3, 1, 3, 3, 2, 3, 4, 3, 4, 4, 3, 0, 2, 1, 2, 2, 2, 3, 3, 1, 1, 4, 2, 1, 4, 2, 2, 0, 3, 4, 3, 3, 4, 2, 2, 3, 2, 3, 2, 4, 3, 2, 0, 4, 2, 4, 2, 3, 1, 3, 3, 3, 1, 0, 3, 2, 3, 0, 0, 1, 1, 4, 1, 3, 0, 4, 4, 4, 3, 2, 2, 4, 4, 2, 2, 3, 4, 4, 1, 3, 4, 4, 1, 1, 2, 4, 3, 4, 4, 2, 2, 2, 4, 3, 2, 4, 1, 3, 3, 3, 0, 3] pubkeycol591 = [0, 3, 0, 1, 1, 3, 1, 3, 1, 3, 4, 1, 4, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 4, 4, 1, 3, 0, 0, 2, 4, 2, 1, 2, 2, 4, 0, 2, 3, 1, 1, 1, 3, 2, 1, 0, 3, 4, 4, 1, 4, 0, 3, 1, 4, 4, 4, 0, 3, 2, 2, 2, 3, 1, 2, 2, 0, 2, 3, 1, 1, 4, 2, 2, 4, 4, 4, 1, 4, 4, 2, 2, 1, 2, 0, 4, 1, 0, 3, 4, 1, 4, 4, 4, 2, 4, 2, 3, 4, 1, 4, 0, 3, 2, 3, 0, 3, 3, 0, 2, 3, 3, 4, 4, 3, 4, 0, 0, 0, 3, 0, 0, 4, 0, 2, 0, 2, 1, 4, 1, 1, 2, 1, 2, 4, 0, 2, 4, 1, 2, 3, 1, 3, 0, 2, 1, 3, 1, 1, 4, 2, 3, 4, 3, 1, 2, 1, 4, 4, 2, 2, 3, 1, 4, 3, 4, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 4, 4, 4, 4, 0, 3, 3, 3, 1, 1, 0, 1, 2, 0, 2, 1, 4, 4, 3, 1, 2, 0, 4, 4, 1, 2, 1, 3, 2, 0, 1, 4, 2, 1, 4, 0, 4, 2, 4, 1, 3, 2, 0, 3, 1, 2, 1, 4, 0, 3, 0, 3, 2, 1, 4, 4, 1, 4, 2, 2, 3, 4, 4, 3, 1, 4, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 3, 2, 0, 3, 0, 0, 4, 2, 4, 3, 2, 4, 0, 3, 4, 4, 1, 2, 1, 1, 3, 4, 1, 3, 3, 4, 4, 2, 3, 4, 0, 0, 2, 3, 2, 2, 1, 1, 1, 2, 1, 4, 2, 4, 0, 3, 1, 3, 0, 2, 0, 1, 2, 1, 1, 4, 1, 2, 3, 0, 1, 2, 1, 2, 3, 3, 4, 0, 0, 3, 0, 2, 4, 0, 2, 2, 3, 3, 2, 4, 1, 2, 4, 3, 4, 4, 4, 0, 1, 3, 0, 0, 3, 3, 1, 2, 4, 1, 4, 4, 4, 0, 1, 4, 3, 2, 3, 1, 3, 3, 0, 1, 4, 4, 0, 1, 2, 0, 2, 4, 2, 2, 3, 1, 0, 2, 1, 3, 0, 3, 3, 2, 2, 2, 4, 3, 1, 2, 1, 1, 3, 2, 4, 3, 0, 3, 4, 4, 2, 1, 1, 4, 4, 4, 0, 2, 4, 2, 2, 0, 4, 4, 4, 1, 3, 0, 1, 2, 3, 0, 2, 0, 0, 4, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 4, 2, 4, 3, 1, 4, 1, 2, 4, 4, 4, 1, 1, 3, 3, 0, 0, 0, 4, 1, 1, 2, 0, 3, 0, 3, 4, 1, 1, 2, 3, 3, 1, 1, 3, 2, 4] pubkeycol592 = [2, 2, 2, 1, 4, 0, 1, 2, 3, 0, 2, 1, 3, 2, 4, 3, 4, 1, 4, 4, 3, 2, 4, 1, 2, 3, 3, 1, 1, 0, 1, 2, 0, 1, 0, 1, 4, 2, 3, 1, 0, 0, 3, 1, 2, 4, 1, 0, 3, 1, 3, 2, 0, 2, 4, 3, 3, 1, 4, 0, 3, 2, 4, 4, 3, 4, 4, 3, 2, 0, 3, 1, 2, 3, 2, 3, 4, 3, 2, 4, 0, 1, 2, 0, 3, 4, 4, 4, 1, 0, 1, 0, 2, 2, 3, 4, 3, 1, 3, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 4, 1, 0, 3, 4, 3, 0, 2, 4, 0, 0, 0, 0, 1, 0, 3, 2, 4, 0, 1, 4, 0, 1, 0, 3, 1, 4, 0, 4, 4, 0, 2, 4, 2, 0, 0, 4, 0, 3, 3, 3, 3, 2, 4, 2, 4, 2, 1, 4, 3, 1, 3, 2, 2, 1, 1, 3, 4, 3, 4, 1, 0, 4, 0, 1, 2, 0, 0, 4, 4, 1, 1, 1, 3, 1, 2, 1, 0, 0, 1, 4, 4, 1, 4, 2, 3, 0, 3, 3, 4, 2, 3, 0, 0, 4, 1, 1, 0, 3, 0, 3, 0, 4, 2, 3, 3, 3, 1, 0, 3, 4, 2, 0, 3, 3, 4, 2, 3, 0, 3, 2, 4, 2, 2, 0, 1, 4, 1, 4, 3, 4, 3, 1, 3, 4, 2, 0, 4, 0, 4, 1, 3, 1, 0, 0, 0, 3, 2, 2, 0, 1, 2, 0, 0, 3, 4, 4, 3, 1, 2, 3, 1, 4, 0, 2, 3, 1, 2, 2, 3, 2, 3, 3, 2, 4, 2, 0, 4, 0, 3, 4, 1, 0, 4, 1, 4, 1, 3, 1, 2, 2, 4, 1, 4, 0, 3, 3, 0, 0, 0, 2, 0, 1, 4, 1, 2, 2, 1, 3, 0, 1, 3, 1, 2, 4, 1, 1, 3, 1, 2, 1, 0, 3, 2, 3, 4, 0, 2, 4, 4, 1, 4, 4, 2, 3, 1, 3, 0, 4, 3, 4, 0, 0, 3, 0, 2, 3, 4, 2, 4, 3, 0, 4, 1, 3, 3, 1, 2, 0, 4, 3, 4, 4, 3, 0, 4, 4, 0, 0, 0, 1, 2, 2, 4, 2, 0, 0, 4, 4, 3, 3, 2, 4, 2, 3, 3, 4, 1, 3, 3, 1, 4, 4, 3, 2, 1, 0, 0, 2, 1, 0, 1, 4, 0, 3, 4, 4, 1, 0, 2, 4, 2, 0, 4, 3, 3, 0, 2, 1, 3, 1, 4, 2, 1, 4, 0, 4, 4, 3, 4, 1, 2, 1, 1, 2, 3, 4, 2, 4, 2, 3, 3, 1, 3, 0, 0, 4, 4, 4, 3, 1, 3, 3, 0, 2, 3, 0, 3, 3, 3, 1, 3, 2, 3, 1, 0, 3, 1] pubkeycol593 = [0, 0, 4, 1, 1, 4, 3, 4, 4, 1, 3, 0, 1, 0, 2, 3, 3, 2, 2, 0, 3, 2, 1, 0, 2, 4, 1, 1, 4, 1, 4, 4, 2, 0, 3, 2, 2, 3, 1, 3, 2, 0, 4, 0, 2, 0, 3, 2, 1, 2, 1, 0, 1, 2, 3, 0, 2, 3, 0, 1, 0, 2, 2, 1, 4, 4, 1, 3, 2, 1, 4, 2, 4, 4, 1, 4, 3, 2, 4, 0, 2, 1, 0, 3, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 4, 4, 3, 2, 0, 2, 2, 1, 3, 4, 0, 2, 1, 2, 4, 3, 4, 1, 3, 3, 2, 1, 3, 3, 4, 2, 1, 0, 4, 1, 2, 1, 2, 4, 3, 4, 0, 4, 1, 1, 2, 4, 2, 3, 2, 1, 0, 2, 2, 2, 4, 1, 4, 3, 1, 0, 4, 2, 4, 2, 1, 3, 0, 2, 2, 1, 4, 3, 0, 1, 4, 1, 4, 0, 4, 4, 3, 4, 4, 3, 2, 1, 2, 2, 2, 4, 3, 3, 4, 2, 4, 4, 3, 2, 4, 0, 1, 3, 4, 0, 4, 4, 4, 3, 0, 0, 0, 3, 4, 2, 1, 0, 3, 0, 4, 3, 0, 0, 0, 3, 3, 2, 2, 4, 0, 0, 4, 2, 2, 0, 4, 0, 3, 2, 4, 3, 2, 2, 3, 0, 2, 0, 4, 4, 3, 3, 1, 1, 2, 0, 2, 2, 3, 2, 3, 0, 3, 0, 3, 1, 4, 4, 2, 3, 4, 0, 0, 2, 2, 2, 4, 0, 0, 0, 3, 4, 1, 4, 2, 2, 2, 3, 2, 0, 0, 0, 4, 1, 4, 0, 2, 3, 1, 0, 2, 1, 1, 0, 1, 2, 3, 4, 0, 1, 2, 2, 3, 3, 0, 4, 2, 0, 3, 2, 4, 1, 3, 0, 4, 4, 1, 1, 3, 0, 4, 2, 3, 4, 4, 4, 1, 4, 0, 4, 3, 3, 3, 1, 4, 4, 3, 1, 0, 1, 2, 3, 4, 1, 1, 4, 4, 3, 1, 1, 2, 0, 3, 4, 0, 1, 0, 2, 3, 2, 1, 4, 0, 4, 2, 3, 1, 3, 2, 2, 3, 3, 0, 3, 2, 4, 2, 0, 0, 4, 2, 3, 0, 4, 2, 0, 1, 4, 4, 1, 4, 4, 2, 2, 2, 1, 4, 4, 0, 4, 1, 3, 0, 4, 0, 3, 3, 1, 0, 0, 2, 1, 3, 3, 3, 4, 2, 0, 4, 2, 1, 2, 4, 2, 4, 4, 4, 1, 0, 1, 1, 1, 1, 3, 2, 3, 3, 4, 4, 0, 4, 2, 0, 3, 4, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 4, 3, 3, 0, 4, 4, 2, 1, 4, 4, 4, 4, 2, 2, 4, 1, 0, 2, 0, 3, 3, 0, 1, 3] pubkeycol594 = [4, 1, 0, 4, 4, 4, 3, 3, 0, 0, 2, 2, 1, 1, 2, 0, 0, 4, 2, 0, 0, 4, 1, 0, 2, 4, 0, 0, 0, 4, 3, 3, 1, 4, 3, 3, 0, 0, 4, 4, 3, 3, 3, 3, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 3, 0, 0, 1, 2, 2, 2, 0, 2, 1, 3, 2, 4, 2, 2, 1, 2, 0, 2, 3, 4, 0, 1, 2, 0, 3, 4, 0, 4, 2, 0, 1, 0, 3, 1, 1, 2, 2, 4, 3, 3, 4, 1, 0, 0, 4, 0, 3, 1, 4, 1, 2, 4, 4, 4, 4, 2, 4, 2, 0, 3, 2, 1, 2, 0, 4, 4, 2, 4, 2, 3, 1, 3, 3, 4, 0, 4, 2, 4, 4, 1, 2, 1, 1, 1, 0, 2, 2, 2, 4, 3, 2, 3, 0, 3, 0, 1, 4, 3, 4, 1, 2, 4, 2, 1, 2, 0, 0, 1, 4, 2, 4, 1, 3, 3, 4, 4, 2, 3, 2, 4, 0, 4, 3, 1, 3, 4, 2, 3, 3, 2, 3, 4, 1, 3, 1, 2, 1, 4, 0, 0, 3, 2, 1, 2, 0, 4, 4, 4, 4, 4, 2, 3, 0, 1, 4, 1, 4, 4, 2, 4, 2, 4, 0, 0, 3, 4, 3, 0, 2, 1, 2, 2, 2, 0, 1, 4, 2, 2, 3, 4, 2, 4, 2, 3, 0, 3, 0, 3, 2, 4, 1, 2, 4, 4, 2, 1, 4, 0, 1, 3, 2, 2, 3, 4, 0, 4, 2, 0, 1, 1, 4, 2, 3, 4, 1, 1, 0, 1, 3, 3, 0, 3, 1, 1, 4, 3, 1, 0, 3, 1, 1, 0, 4, 4, 2, 4, 1, 3, 1, 4, 4, 2, 0, 3, 3, 4, 4, 1, 0, 1, 4, 1, 4, 1, 1, 0, 3, 3, 2, 4, 3, 2, 4, 2, 3, 4, 0, 1, 0, 1, 1, 2, 2, 4, 1, 3, 2, 2, 4, 3, 2, 0, 1, 2, 0, 0, 4, 3, 1, 0, 0, 1, 4, 1, 2, 3, 4, 3, 4, 4, 4, 3, 1, 2, 0, 0, 0, 1, 3, 1, 2, 3, 4, 3, 4, 1, 2, 4, 3, 4, 4, 1, 0, 3, 3, 3, 0, 0, 2, 0, 4, 2, 4, 4, 3, 3, 4, 4, 3, 3, 4, 0, 1, 2, 4, 4, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 3, 0, 3, 4, 3, 4, 4, 0, 3, 1, 2, 2, 3, 1, 3, 0, 2, 4, 4, 4, 4, 3, 0, 2, 2, 3, 3, 3, 4, 1, 0, 1, 4, 2, 0, 0, 0, 3, 2, 1, 0, 4, 3, 0, 4, 4, 3, 0, 2, 2, 3, 1, 4, 0, 2, 0, 0, 0, 2, 1, 4, 1, 2, 3, 4, 4, 0, 3] pubkeycol595 = [3, 3, 4, 4, 2, 2, 2, 4, 2, 4, 4, 1, 0, 1, 0, 3, 0, 4, 4, 4, 4, 2, 1, 2, 2, 0, 0, 4, 0, 0, 4, 3, 4, 3, 4, 0, 3, 2, 4, 1, 2, 3, 1, 1, 0, 3, 2, 2, 3, 4, 1, 2, 3, 4, 2, 1, 1, 1, 4, 3, 0, 1, 0, 2, 2, 4, 1, 2, 2, 4, 1, 3, 2, 3, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 4, 0, 2, 1, 2, 1, 4, 2, 0, 4, 3, 1, 4, 1, 4, 3, 1, 3, 0, 2, 0, 2, 2, 4, 0, 2, 1, 4, 1, 1, 1, 1, 1, 3, 2, 4, 4, 4, 3, 3, 3, 4, 0, 3, 1, 4, 2, 1, 2, 1, 4, 3, 3, 2, 1, 1, 1, 3, 1, 2, 1, 4, 3, 1, 3, 3, 4, 2, 3, 1, 2, 1, 0, 4, 2, 2, 1, 2, 0, 1, 3, 2, 1, 0, 4, 1, 3, 0, 2, 0, 1, 3, 1, 3, 4, 3, 2, 4, 3, 3, 4, 1, 4, 3, 1, 4, 4, 1, 2, 0, 2, 3, 1, 3, 4, 0, 4, 1, 2, 0, 1, 4, 3, 1, 2, 2, 3, 2, 2, 1, 3, 1, 0, 4, 4, 0, 4, 1, 3, 3, 1, 1, 2, 4, 0, 2, 3, 1, 4, 2, 3, 0, 1, 3, 4, 1, 0, 2, 2, 4, 1, 1, 2, 0, 4, 1, 0, 0, 1, 3, 2, 1, 0, 3, 0, 4, 2, 2, 0, 0, 4, 2, 1, 0, 0, 1, 0, 4, 1, 3, 1, 4, 1, 2, 3, 2, 4, 4, 0, 2, 2, 3, 3, 0, 3, 2, 2, 1, 2, 3, 3, 0, 1, 4, 4, 4, 3, 0, 4, 2, 1, 1, 0, 1, 3, 4, 2, 2, 1, 1, 4, 4, 2, 1, 3, 0, 0, 2, 3, 3, 3, 4, 1, 2, 1, 3, 1, 0, 1, 0, 0, 1, 4, 4, 0, 2, 2, 1, 2, 3, 1, 0, 0, 4, 2, 0, 0, 2, 0, 3, 1, 2, 4, 1, 0, 4, 4, 4, 4, 1, 0, 0, 0, 0, 3, 1, 3, 3, 0, 4, 1, 1, 2, 1, 3, 2, 4, 4, 3, 4, 2, 4, 4, 2, 1, 3, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 4, 4, 3, 4, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 3, 2, 0, 0, 4, 0, 2, 1, 1, 0, 3, 2, 2, 0, 3, 1, 0, 3, 1, 0, 4, 3, 4, 4, 0, 0, 4, 1, 1, 0, 0, 0, 3, 0, 3, 1, 1, 3, 3, 4, 2, 3, 0, 1, 3, 0, 0, 3, 4, 0, 0, 3, 1, 2, 0, 1, 4, 0, 2, 3, 4, 2, 3] pubkeycol596 = [3, 3, 4, 1, 2, 2, 0, 2, 1, 3, 1, 0, 4, 3, 4, 4, 0, 2, 3, 1, 2, 4, 0, 0, 0, 3, 0, 0, 4, 2, 0, 4, 4, 0, 1, 2, 0, 2, 1, 3, 4, 0, 4, 0, 1, 4, 0, 3, 1, 2, 0, 0, 0, 1, 3, 0, 4, 3, 2, 3, 2, 0, 4, 3, 2, 3, 0, 0, 3, 1, 3, 0, 0, 0, 0, 2, 1, 0, 0, 4, 0, 3, 4, 4, 3, 0, 3, 1, 4, 4, 3, 2, 3, 1, 4, 0, 4, 4, 3, 3, 3, 1, 0, 4, 3, 1, 2, 3, 3, 2, 2, 1, 4, 4, 0, 0, 3, 3, 2, 1, 2, 4, 2, 3, 1, 2, 1, 4, 1, 2, 0, 3, 0, 0, 3, 4, 2, 2, 0, 0, 4, 1, 4, 3, 2, 2, 3, 3, 4, 3, 3, 4, 3, 1, 2, 3, 4, 4, 1, 2, 0, 3, 1, 3, 2, 0, 4, 0, 0, 0, 1, 4, 4, 3, 3, 4, 0, 3, 0, 4, 2, 1, 2, 4, 1, 3, 4, 2, 3, 2, 2, 1, 0, 4, 4, 2, 0, 2, 4, 0, 3, 1, 2, 4, 0, 1, 4, 1, 0, 1, 1, 2, 3, 4, 3, 3, 3, 1, 0, 2, 0, 3, 0, 2, 0, 2, 3, 0, 4, 2, 3, 3, 3, 4, 1, 4, 2, 1, 2, 2, 0, 0, 1, 3, 2, 1, 0, 1, 2, 3, 0, 4, 3, 2, 2, 2, 0, 0, 2, 4, 2, 0, 0, 1, 1, 3, 3, 4, 0, 0, 3, 1, 0, 1, 2, 1, 0, 3, 1, 4, 3, 3, 1, 4, 3, 0, 3, 3, 3, 2, 3, 3, 2, 4, 1, 0, 1, 0, 0, 3, 2, 2, 4, 0, 3, 0, 2, 2, 3, 3, 4, 0, 3, 0, 1, 3, 3, 3, 1, 0, 4, 3, 3, 1, 2, 2, 0, 4, 4, 4, 4, 4, 2, 2, 1, 4, 4, 0, 1, 0, 1, 1, 4, 3, 3, 3, 1, 3, 2, 3, 1, 0, 1, 0, 3, 1, 0, 2, 2, 2, 2, 2, 3, 4, 3, 4, 0, 3, 4, 3, 1, 1, 2, 1, 4, 4, 0, 2, 3, 2, 3, 0, 1, 2, 3, 0, 0, 4, 3, 3, 3, 3, 0, 4, 2, 3, 3, 0, 4, 1, 2, 1, 2, 2, 4, 1, 2, 0, 4, 2, 4, 4, 4, 2, 1, 3, 3, 4, 1, 4, 3, 1, 3, 2, 2, 2, 0, 0, 4, 0, 0, 2, 2, 3, 0, 1, 3, 3, 3, 0, 4, 0, 4, 2, 3, 3, 3, 2, 4, 3, 3, 0, 4, 1, 0, 0, 1, 0, 2, 1, 2, 1, 4, 1, 4, 3, 3, 4, 2, 2, 1, 4, 2, 0, 3, 0, 0, 1, 1, 4] pubkeycol597 = [0, 2, 2, 4, 2, 0, 3, 4, 1, 0, 3, 0, 4, 0, 3, 1, 0, 0, 3, 0, 3, 3, 4, 0, 2, 3, 1, 0, 3, 2, 4, 4, 0, 2, 2, 1, 0, 2, 2, 2, 4, 0, 1, 3, 0, 3, 3, 0, 0, 4, 1, 4, 1, 3, 2, 4, 3, 3, 1, 1, 2, 2, 2, 2, 3, 0, 2, 4, 0, 4, 1, 4, 4, 4, 0, 2, 1, 3, 4, 1, 1, 4, 3, 2, 2, 3, 0, 4, 2, 3, 2, 1, 4, 3, 1, 4, 2, 1, 4, 1, 0, 3, 0, 3, 2, 4, 1, 3, 1, 3, 1, 3, 0, 4, 4, 1, 0, 1, 2, 1, 3, 1, 1, 4, 1, 4, 2, 0, 2, 1, 3, 1, 0, 4, 4, 3, 1, 4, 2, 2, 1, 2, 1, 2, 2, 1, 2, 4, 4, 4, 3, 0, 1, 2, 4, 2, 4, 0, 0, 3, 3, 0, 1, 4, 0, 3, 1, 1, 4, 4, 2, 3, 2, 2, 0, 4, 2, 1, 4, 2, 2, 1, 1, 4, 1, 1, 1, 4, 1, 1, 2, 3, 4, 0, 4, 0, 3, 3, 4, 2, 2, 4, 1, 1, 3, 4, 1, 2, 0, 3, 4, 1, 0, 2, 0, 0, 1, 3, 0, 2, 3, 4, 2, 4, 1, 1, 2, 4, 1, 0, 0, 4, 2, 3, 2, 3, 1, 2, 3, 0, 2, 4, 2, 1, 1, 0, 1, 1, 1, 2, 1, 4, 1, 3, 4, 2, 4, 4, 2, 0, 0, 2, 0, 0, 3, 0, 4, 0, 0, 3, 0, 4, 0, 2, 1, 4, 3, 4, 1, 1, 2, 4, 0, 4, 3, 3, 1, 3, 4, 0, 0, 0, 0, 4, 4, 4, 2, 0, 0, 1, 1, 3, 2, 0, 4, 3, 3, 4, 0, 3, 0, 3, 2, 4, 2, 0, 1, 2, 4, 4, 2, 2, 4, 4, 3, 0, 4, 3, 3, 0, 3, 0, 2, 0, 1, 3, 2, 2, 0, 2, 4, 2, 2, 3, 2, 1, 3, 2, 1, 2, 1, 0, 1, 4, 0, 4, 4, 4, 1, 4, 3, 2, 4, 0, 2, 0, 2, 4, 0, 2, 4, 0, 4, 4, 2, 3, 1, 0, 2, 2, 0, 3, 1, 2, 2, 2, 0, 4, 0, 2, 1, 4, 3, 1, 4, 3, 2, 4, 4, 1, 2, 3, 3, 2, 0, 1, 3, 0, 4, 3, 2, 1, 1, 4, 1, 4, 0, 2, 1, 0, 3, 3, 1, 0, 0, 0, 0, 3, 0, 0, 3, 4, 2, 4, 2, 2, 1, 0, 0, 0, 0, 1, 4, 0, 4, 0, 2, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 2, 4, 0, 2, 3, 2, 3, 0, 2, 1, 2, 1, 2, 0, 3, 3, 4, 3, 0, 3, 2, 1, 3] pubkeycol598 = [1, 4, 4, 4, 1, 3, 1, 0, 0, 2, 0, 4, 2, 2, 2, 1, 2, 0, 1, 0, 2, 4, 4, 2, 3, 3, 3, 3, 4, 3, 0, 0, 1, 0, 4, 1, 4, 2, 1, 1, 2, 1, 1, 1, 2, 1, 4, 1, 0, 4, 2, 2, 0, 0, 4, 3, 3, 0, 1, 1, 3, 1, 4, 0, 4, 1, 2, 2, 2, 0, 4, 1, 4, 2, 0, 0, 4, 0, 1, 0, 2, 3, 3, 2, 4, 0, 2, 1, 4, 2, 0, 2, 1, 1, 0, 0, 4, 3, 3, 1, 0, 4, 4, 1, 3, 2, 3, 1, 1, 3, 0, 2, 1, 0, 0, 4, 2, 1, 1, 4, 3, 3, 4, 4, 2, 1, 1, 3, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 4, 1, 4, 1, 4, 0, 2, 3, 4, 2, 3, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 4, 1, 4, 0, 3, 2, 4, 3, 4, 1, 2, 2, 1, 0, 0, 3, 4, 1, 3, 0, 2, 2, 0, 2, 0, 3, 4, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 0, 0, 1, 4, 2, 1, 2, 3, 1, 1, 3, 0, 2, 0, 2, 1, 2, 4, 1, 0, 2, 4, 3, 2, 4, 0, 2, 3, 4, 1, 1, 2, 3, 2, 4, 1, 4, 1, 3, 0, 0, 1, 1, 3, 0, 0, 3, 0, 0, 0, 2, 1, 3, 4, 1, 0, 2, 1, 1, 3, 0, 2, 3, 0, 0, 4, 0, 4, 1, 3, 4, 3, 3, 3, 1, 0, 1, 0, 3, 0, 2, 4, 4, 2, 2, 0, 3, 1, 0, 1, 1, 0, 1, 4, 2, 2, 0, 4, 0, 1, 2, 1, 4, 1, 2, 4, 4, 3, 1, 4, 4, 4, 3, 2, 2, 3, 3, 2, 0, 3, 0, 4, 2, 3, 3, 4, 2, 1, 2, 2, 3, 2, 4, 0, 4, 2, 4, 2, 4, 2, 2, 0, 0, 0, 0, 3, 0, 2, 3, 0, 0, 3, 3, 2, 3, 4, 1, 4, 2, 4, 4, 3, 4, 4, 0, 0, 3, 4, 0, 1, 0, 2, 2, 2, 0, 0, 4, 2, 2, 3, 0, 0, 0, 0, 3, 2, 2, 1, 2, 4, 0, 3, 1, 3, 3, 3, 3, 0, 0, 0, 0, 1, 4, 4, 0, 2, 4, 4, 0, 3, 3, 1, 0, 1, 1, 2, 3, 1, 4, 2, 2, 1, 2, 0, 4, 3, 3, 4, 0, 1, 3, 1, 1, 2, 2, 4, 3, 4, 0, 3, 4, 1, 4, 1, 3, 1, 2, 4, 3, 4, 1, 2, 4, 4, 4, 4, 4, 3, 4, 1, 4, 4, 1, 0, 4, 2, 1, 2, 2, 0, 1, 3, 2, 0, 4, 0, 3, 1, 3, 0, 0, 3] pubkeycol599 = [0, 1, 0, 4, 4, 1, 2, 4, 3, 4, 3, 3, 4, 0, 2, 4, 2, 2, 1, 3, 0, 3, 0, 0, 2, 4, 2, 0, 1, 1, 1, 1, 2, 1, 3, 0, 1, 1, 1, 1, 1, 2, 4, 0, 2, 1, 4, 1, 3, 2, 0, 3, 3, 0, 4, 4, 2, 0, 0, 4, 4, 1, 2, 0, 2, 3, 2, 0, 4, 4, 3, 2, 4, 0, 0, 4, 2, 2, 3, 3, 1, 2, 2, 3, 0, 1, 3, 1, 3, 0, 1, 3, 4, 2, 1, 1, 2, 2, 0, 0, 3, 1, 0, 2, 2, 1, 1, 4, 4, 4, 1, 1, 1, 3, 3, 3, 1, 3, 1, 4, 2, 3, 0, 1, 3, 1, 3, 0, 4, 3, 1, 0, 1, 3, 3, 0, 0, 3, 1, 3, 4, 0, 1, 4, 4, 4, 3, 4, 1, 0, 4, 3, 4, 0, 1, 1, 3, 2, 2, 2, 4, 0, 2, 0, 3, 2, 2, 0, 4, 3, 2, 4, 4, 4, 2, 4, 2, 2, 3, 1, 4, 0, 0, 4, 1, 4, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 3, 4, 2, 4, 1, 4, 2, 0, 4, 1, 2, 2, 1, 1, 3, 3, 1, 3, 4, 0, 3, 3, 0, 2, 3, 1, 0, 2, 1, 3, 3, 3, 2, 4, 0, 1, 2, 4, 0, 4, 0, 2, 1, 0, 3, 0, 2, 3, 0, 2, 2, 1, 0, 2, 0, 4, 3, 3, 1, 2, 1, 4, 1, 0, 2, 0, 0, 1, 2, 3, 1, 2, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 0, 1, 2, 2, 2, 3, 1, 0, 1, 0, 0, 2, 1, 1, 1, 3, 3, 4, 0, 1, 2, 1, 4, 2, 4, 0, 4, 3, 2, 3, 0, 1, 3, 4, 1, 3, 1, 4, 4, 0, 3, 1, 4, 3, 0, 1, 0, 1, 1, 1, 3, 4, 3, 1, 1, 3, 2, 3, 3, 3, 1, 0, 4, 4, 2, 4, 0, 1, 3, 0, 4, 4, 3, 3, 4, 4, 4, 3, 3, 2, 3, 1, 3, 4, 3, 0, 2, 4, 0, 3, 1, 4, 3, 2, 3, 4, 4, 1, 1, 3, 3, 2, 0, 3, 1, 4, 0, 0, 0, 3, 4, 2, 1, 2, 2, 2, 0, 1, 3, 2, 0, 0, 4, 2, 0, 1, 4, 3, 1, 3, 1, 0, 2, 1, 0, 1, 2, 2, 0, 4, 0, 1, 0, 0, 3, 4, 3, 3, 2, 3, 2, 3, 2, 0, 3, 4, 0, 3, 0, 3, 4, 3, 0, 3, 1, 2, 4, 1, 2, 0, 3, 1, 3, 0, 3, 4, 2, 3, 0, 1, 1, 3, 0, 2, 4, 4, 2, 1, 1, 3, 1, 0, 4, 3, 4, 0, 1, 2, 4, 3, 1, 2] pubkeycol600 = [2, 1, 3, 3, 4, 3, 3, 1, 3, 2, 0, 0, 1, 4, 0, 3, 3, 3, 1, 4, 2, 3, 0, 3, 4, 3, 4, 1, 2, 3, 1, 4, 1, 1, 4, 0, 4, 0, 3, 3, 1, 1, 0, 2, 0, 0, 3, 0, 3, 2, 3, 1, 0, 3, 1, 1, 3, 1, 3, 4, 2, 3, 0, 0, 0, 3, 4, 2, 2, 3, 4, 1, 1, 1, 2, 4, 1, 2, 2, 2, 2, 1, 4, 1, 0, 4, 2, 4, 0, 0, 1, 3, 1, 4, 4, 4, 0, 4, 2, 1, 4, 3, 1, 4, 2, 3, 2, 2, 0, 2, 1, 1, 1, 2, 0, 4, 1, 4, 1, 4, 2, 2, 2, 2, 1, 4, 3, 3, 2, 0, 3, 3, 2, 1, 2, 3, 4, 1, 4, 3, 1, 3, 1, 1, 0, 2, 3, 3, 1, 3, 2, 2, 4, 1, 1, 2, 3, 3, 4, 2, 0, 4, 0, 0, 2, 3, 2, 4, 4, 2, 3, 4, 1, 2, 1, 4, 1, 1, 2, 3, 2, 4, 0, 1, 4, 1, 3, 3, 0, 0, 1, 4, 3, 4, 0, 0, 2, 4, 2, 3, 1, 0, 3, 1, 4, 3, 3, 3, 3, 1, 2, 2, 2, 1, 1, 1, 4, 2, 0, 3, 1, 4, 0, 3, 2, 3, 0, 3, 3, 2, 3, 0, 2, 1, 1, 0, 4, 3, 1, 0, 1, 1, 0, 3, 2, 4, 2, 2, 0, 1, 3, 4, 2, 2, 2, 2, 2, 1, 4, 0, 3, 4, 0, 4, 0, 0, 0, 0, 3, 3, 2, 2, 1, 2, 2, 0, 3, 0, 0, 4, 1, 2, 1, 4, 4, 1, 1, 1, 3, 0, 3, 0, 3, 2, 2, 2, 3, 2, 1, 4, 4, 4, 0, 4, 2, 4, 0, 3, 2, 0, 1, 2, 0, 0, 2, 2, 3, 0, 4, 4, 1, 3, 1, 1, 0, 4, 2, 3, 1, 1, 4, 4, 1, 4, 2, 3, 4, 3, 4, 3, 2, 0, 0, 1, 3, 0, 4, 3, 1, 2, 4, 0, 2, 4, 0, 3, 0, 1, 4, 0, 1, 1, 3, 4, 0, 2, 3, 4, 1, 3, 2, 2, 1, 2, 4, 2, 2, 4, 1, 0, 1, 2, 0, 3, 3, 3, 2, 4, 4, 1, 2, 1, 4, 2, 0, 1, 0, 3, 1, 2, 2, 4, 2, 2, 4, 0, 1, 0, 3, 2, 2, 0, 3, 2, 2, 3, 1, 1, 2, 4, 2, 3, 2, 1, 2, 4, 1, 1, 3, 4, 1, 2, 0, 1, 2, 3, 3, 0, 0, 2, 3, 3, 4, 4, 2, 2, 1, 0, 0, 3, 1, 1, 2, 2, 2, 2, 1, 4, 2, 3, 3, 0, 2, 3, 4, 4, 1, 2, 0, 1, 3, 4, 1, 4, 1, 1, 0, 3, 4, 3] pubkeycol601 = [1, 1, 3, 1, 0, 0, 4, 3, 1, 0, 3, 1, 0, 4, 3, 3, 0, 2, 3, 3, 3, 2, 1, 0, 2, 2, 1, 0, 3, 4, 4, 2, 0, 0, 2, 3, 4, 1, 1, 3, 0, 4, 4, 1, 2, 3, 3, 2, 2, 3, 2, 0, 4, 1, 0, 1, 3, 0, 0, 2, 1, 2, 4, 0, 3, 2, 2, 4, 3, 1, 3, 2, 0, 3, 4, 1, 4, 2, 2, 4, 4, 4, 1, 4, 4, 3, 4, 0, 3, 1, 4, 2, 1, 1, 0, 2, 2, 3, 4, 0, 4, 0, 4, 0, 4, 3, 0, 1, 0, 1, 1, 1, 4, 3, 4, 2, 0, 2, 1, 1, 3, 2, 2, 2, 3, 1, 4, 0, 0, 4, 0, 3, 2, 0, 1, 0, 0, 2, 4, 4, 4, 1, 3, 4, 1, 0, 2, 3, 0, 2, 1, 2, 2, 2, 2, 0, 2, 4, 4, 4, 1, 4, 2, 1, 4, 0, 2, 3, 0, 1, 3, 2, 0, 2, 1, 3, 4, 0, 1, 1, 1, 0, 3, 4, 2, 3, 4, 3, 3, 1, 1, 1, 3, 1, 2, 4, 0, 2, 2, 1, 1, 2, 4, 3, 0, 3, 0, 1, 4, 2, 1, 0, 1, 0, 1, 3, 1, 1, 0, 1, 4, 4, 2, 4, 4, 1, 2, 2, 1, 3, 0, 3, 4, 3, 0, 0, 0, 2, 3, 0, 0, 1, 0, 3, 2, 4, 0, 3, 1, 4, 0, 0, 3, 1, 4, 3, 3, 0, 1, 3, 4, 0, 3, 3, 2, 2, 2, 3, 2, 3, 4, 3, 1, 3, 2, 3, 1, 3, 3, 1, 0, 0, 3, 0, 3, 3, 3, 3, 2, 0, 1, 0, 0, 4, 4, 0, 2, 3, 4, 1, 3, 2, 0, 4, 4, 4, 2, 2, 2, 3, 4, 0, 4, 2, 4, 1, 1, 4, 3, 0, 2, 3, 4, 4, 2, 0, 0, 2, 0, 4, 3, 3, 4, 1, 4, 2, 4, 1, 1, 0, 2, 3, 2, 0, 2, 1, 1, 4, 0, 1, 3, 4, 2, 2, 1, 3, 2, 4, 0, 0, 4, 3, 1, 4, 4, 0, 4, 4, 1, 2, 4, 1, 3, 4, 3, 3, 4, 3, 1, 4, 1, 0, 4, 1, 4, 0, 0, 0, 2, 2, 1, 3, 3, 2, 2, 2, 1, 1, 3, 2, 0, 0, 0, 0, 4, 0, 4, 3, 0, 1, 0, 3, 4, 2, 4, 2, 0, 4, 0, 1, 3, 2, 3, 1, 2, 1, 1, 1, 3, 3, 1, 3, 0, 3, 4, 3, 2, 4, 3, 2, 1, 3, 4, 4, 0, 0, 0, 2, 4, 1, 3, 0, 2, 1, 2, 4, 2, 4, 1, 1, 2, 4, 0, 4, 4, 3, 1, 2, 1, 2, 4, 3, 2, 3, 3, 3, 1, 3, 4, 3] pubkeycol602 = [2, 4, 3, 3, 4, 2, 2, 3, 3, 0, 4, 0, 1, 0, 2, 0, 1, 1, 1, 4, 3, 2, 4, 1, 2, 1, 3, 1, 2, 0, 0, 0, 2, 1, 3, 4, 4, 2, 1, 3, 2, 0, 2, 1, 4, 1, 1, 2, 4, 4, 1, 4, 2, 4, 0, 0, 0, 0, 2, 2, 3, 2, 1, 3, 0, 0, 3, 2, 0, 3, 2, 1, 4, 2, 2, 1, 2, 1, 2, 3, 2, 1, 0, 3, 0, 0, 2, 4, 2, 4, 2, 0, 3, 3, 4, 2, 3, 4, 0, 0, 2, 4, 4, 3, 3, 1, 3, 1, 4, 2, 1, 3, 1, 4, 3, 2, 1, 4, 0, 2, 3, 0, 3, 1, 2, 2, 1, 3, 3, 2, 1, 0, 3, 0, 1, 2, 2, 1, 0, 1, 4, 1, 0, 4, 1, 1, 1, 0, 0, 4, 4, 4, 3, 0, 1, 3, 1, 4, 4, 3, 2, 1, 1, 1, 3, 0, 1, 4, 4, 3, 0, 2, 3, 1, 4, 0, 2, 3, 1, 0, 3, 0, 4, 3, 4, 1, 1, 0, 3, 1, 4, 4, 1, 4, 0, 2, 4, 1, 1, 3, 3, 3, 4, 1, 0, 1, 3, 4, 0, 4, 3, 1, 4, 3, 0, 3, 1, 3, 3, 0, 1, 0, 3, 4, 4, 2, 0, 1, 1, 1, 2, 4, 3, 0, 1, 0, 0, 2, 3, 1, 1, 4, 2, 3, 4, 0, 2, 3, 4, 3, 4, 3, 4, 0, 1, 0, 2, 2, 2, 1, 4, 4, 1, 1, 0, 0, 2, 1, 4, 1, 4, 2, 4, 2, 3, 4, 2, 3, 3, 4, 3, 3, 1, 3, 2, 3, 3, 4, 3, 1, 3, 4, 0, 0, 3, 4, 3, 1, 0, 3, 0, 0, 2, 0, 1, 0, 4, 0, 1, 2, 1, 1, 4, 2, 3, 4, 4, 3, 1, 0, 4, 1, 0, 1, 4, 3, 0, 0, 0, 4, 1, 1, 3, 1, 2, 3, 3, 2, 2, 4, 3, 1, 1, 2, 2, 3, 0, 2, 1, 1, 4, 2, 2, 0, 4, 1, 4, 4, 0, 3, 3, 4, 4, 2, 0, 2, 4, 4, 2, 3, 2, 3, 2, 3, 2, 0, 1, 2, 1, 3, 4, 2, 3, 1, 3, 1, 3, 1, 2, 2, 0, 3, 2, 4, 4, 4, 0, 0, 4, 3, 4, 3, 2, 3, 3, 3, 3, 0, 1, 0, 2, 3, 2, 3, 4, 4, 2, 2, 4, 4, 4, 2, 3, 0, 3, 3, 1, 2, 2, 0, 1, 0, 3, 3, 3, 1, 3, 1, 3, 2, 4, 4, 2, 0, 3, 0, 2, 4, 4, 1, 2, 2, 3, 3, 2, 1, 4, 3, 3, 3, 4, 3, 3, 1, 1, 4, 2, 1, 1, 4, 0, 2, 4, 1, 2, 0, 0, 0, 4, 0] pubkeycol603 = [2, 2, 0, 0, 4, 4, 0, 1, 2, 2, 1, 0, 0, 1, 4, 2, 0, 0, 0, 3, 4, 0, 1, 3, 3, 3, 2, 4, 2, 4, 4, 3, 3, 2, 1, 2, 3, 4, 4, 1, 2, 3, 2, 1, 1, 3, 2, 1, 4, 4, 3, 4, 2, 3, 1, 1, 0, 4, 2, 1, 1, 4, 2, 2, 0, 2, 1, 4, 0, 1, 4, 4, 3, 1, 0, 3, 2, 3, 1, 3, 3, 0, 3, 4, 4, 2, 4, 3, 0, 3, 3, 1, 2, 3, 3, 3, 4, 4, 0, 1, 0, 2, 2, 0, 4, 3, 0, 3, 0, 3, 3, 2, 0, 4, 4, 0, 1, 0, 4, 1, 4, 1, 4, 2, 4, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 4, 0, 3, 2, 0, 2, 3, 1, 4, 0, 0, 0, 2, 3, 2, 2, 4, 1, 0, 0, 3, 2, 2, 0, 2, 2, 2, 1, 3, 2, 2, 4, 0, 1, 3, 0, 1, 1, 4, 2, 2, 3, 1, 2, 1, 1, 0, 4, 1, 1, 1, 4, 2, 2, 0, 4, 4, 2, 0, 0, 4, 0, 3, 3, 0, 3, 4, 2, 1, 0, 1, 3, 4, 3, 4, 2, 4, 4, 1, 1, 0, 1, 2, 2, 1, 1, 2, 4, 1, 4, 2, 3, 4, 3, 2, 3, 1, 3, 1, 0, 4, 0, 4, 1, 0, 1, 3, 0, 1, 2, 0, 4, 3, 0, 1, 3, 3, 0, 0, 1, 2, 3, 2, 4, 4, 0, 0, 2, 3, 2, 2, 0, 0, 0, 2, 4, 0, 1, 3, 2, 4, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 4, 4, 1, 2, 0, 1, 1, 4, 2, 4, 4, 0, 0, 0, 1, 4, 4, 2, 2, 3, 1, 1, 4, 4, 3, 4, 0, 2, 4, 1, 2, 4, 3, 2, 1, 0, 1, 3, 3, 1, 2, 2, 0, 1, 2, 3, 3, 0, 2, 1, 0, 4, 4, 1, 2, 0, 3, 2, 4, 3, 2, 3, 0, 3, 4, 2, 1, 4, 3, 1, 4, 2, 2, 1, 3, 1, 0, 1, 4, 2, 4, 4, 2, 2, 2, 3, 1, 0, 2, 0, 1, 2, 0, 3, 0, 3, 1, 4, 4, 1, 2, 2, 2, 4, 2, 2, 0, 0, 3, 4, 3, 3, 1, 4, 2, 0, 2, 1, 0, 2, 2, 4, 0, 0, 1, 3, 0, 1, 4, 2, 1, 2, 3, 1, 3, 4, 1, 3, 0, 3, 3, 3, 2, 3, 0, 3, 1, 2, 1, 0, 3, 2, 4, 4, 2, 3, 0, 2, 0, 3, 3, 2, 4, 3, 4, 4, 4, 3, 0, 4, 3, 3, 1, 0, 1, 3, 4, 1, 2, 1, 3, 1, 4, 4, 0, 0, 3, 4, 1, 2] pubkeycol604 = [4, 4, 2, 3, 2, 3, 4, 3, 3, 0, 0, 1, 4, 1, 0, 3, 3, 0, 1, 4, 0, 2, 2, 0, 0, 2, 4, 2, 1, 2, 2, 4, 2, 0, 0, 4, 0, 3, 1, 3, 0, 2, 2, 3, 4, 3, 1, 1, 4, 3, 3, 0, 4, 4, 1, 2, 4, 1, 4, 2, 2, 4, 4, 4, 2, 3, 2, 4, 3, 1, 3, 0, 1, 3, 4, 0, 4, 2, 1, 4, 1, 2, 1, 0, 4, 2, 0, 2, 1, 3, 4, 4, 3, 2, 0, 2, 3, 1, 1, 1, 1, 0, 3, 4, 4, 4, 4, 2, 1, 4, 2, 1, 1, 4, 4, 3, 0, 3, 2, 2, 4, 2, 3, 0, 3, 0, 4, 0, 2, 0, 4, 1, 2, 4, 0, 3, 1, 2, 2, 2, 4, 3, 0, 2, 3, 4, 1, 2, 2, 0, 1, 1, 2, 3, 1, 3, 1, 4, 1, 3, 4, 3, 1, 3, 3, 4, 3, 4, 2, 4, 4, 2, 0, 0, 1, 4, 3, 1, 2, 2, 1, 2, 4, 2, 1, 3, 2, 0, 0, 0, 2, 1, 4, 3, 2, 0, 1, 2, 0, 0, 0, 2, 4, 3, 3, 2, 2, 4, 0, 2, 4, 3, 1, 0, 2, 3, 0, 2, 1, 2, 4, 3, 0, 2, 1, 4, 2, 0, 2, 4, 0, 1, 1, 4, 3, 0, 1, 3, 1, 3, 0, 1, 1, 4, 4, 2, 4, 1, 3, 2, 3, 0, 0, 4, 4, 1, 2, 0, 0, 4, 1, 0, 0, 1, 0, 1, 2, 3, 4, 1, 2, 2, 4, 1, 2, 1, 2, 3, 3, 2, 2, 0, 2, 4, 0, 3, 2, 0, 0, 0, 4, 3, 3, 4, 0, 1, 4, 2, 2, 1, 0, 1, 1, 3, 3, 3, 1, 0, 0, 0, 1, 3, 2, 1, 0, 0, 4, 1, 4, 1, 2, 0, 3, 2, 3, 4, 0, 2, 4, 0, 0, 4, 0, 1, 3, 2, 4, 0, 0, 3, 2, 2, 1, 3, 4, 2, 0, 3, 1, 2, 4, 0, 3, 1, 1, 3, 1, 2, 2, 3, 0, 1, 2, 0, 1, 1, 3, 3, 2, 1, 2, 1, 3, 0, 1, 1, 1, 0, 4, 3, 0, 1, 1, 1, 2, 4, 4, 1, 3, 4, 4, 0, 1, 1, 4, 2, 2, 4, 0, 1, 4, 1, 2, 3, 1, 0, 0, 2, 4, 4, 4, 0, 1, 0, 4, 0, 0, 1, 0, 4, 1, 3, 3, 1, 1, 1, 4, 2, 4, 3, 2, 0, 2, 0, 2, 3, 4, 0, 3, 3, 1, 1, 1, 2, 0, 0, 0, 4, 1, 1, 3, 1, 4, 4, 4, 3, 3, 2, 1, 2, 1, 2, 2, 2, 1, 1, 3, 2, 1, 2, 0, 1, 3, 2, 3, 4, 3, 2, 0, 0] pubkeycol605 = [1, 1, 1, 1, 0, 3, 4, 2, 4, 4, 1, 0, 3, 4, 0, 4, 1, 0, 0, 2, 4, 1, 0, 0, 1, 4, 0, 2, 3, 3, 0, 0, 0, 0, 2, 1, 4, 3, 3, 4, 2, 3, 3, 3, 0, 3, 3, 4, 4, 3, 3, 3, 4, 0, 0, 2, 3, 1, 1, 4, 4, 2, 4, 1, 3, 4, 2, 1, 3, 1, 3, 0, 0, 4, 4, 2, 1, 4, 1, 0, 4, 0, 2, 3, 2, 3, 4, 3, 3, 1, 3, 3, 4, 0, 4, 3, 0, 1, 4, 2, 3, 4, 4, 1, 3, 3, 2, 1, 2, 1, 2, 1, 3, 2, 2, 1, 4, 4, 4, 1, 1, 2, 2, 0, 1, 0, 4, 4, 2, 3, 3, 3, 1, 4, 4, 3, 0, 3, 4, 0, 1, 4, 3, 2, 1, 1, 1, 4, 0, 0, 3, 0, 2, 0, 4, 1, 3, 2, 0, 0, 2, 1, 4, 1, 2, 0, 1, 2, 2, 4, 0, 0, 3, 1, 2, 2, 2, 2, 3, 0, 0, 0, 2, 2, 4, 2, 2, 3, 0, 2, 4, 1, 0, 4, 2, 1, 4, 4, 1, 4, 0, 2, 4, 4, 1, 1, 0, 1, 1, 2, 1, 3, 2, 1, 3, 1, 2, 2, 3, 3, 1, 2, 4, 3, 1, 2, 1, 1, 2, 3, 3, 1, 4, 3, 1, 2, 3, 3, 1, 3, 3, 1, 3, 0, 4, 0, 2, 4, 2, 1, 0, 2, 4, 1, 2, 0, 0, 4, 4, 1, 4, 4, 2, 3, 3, 2, 0, 1, 0, 0, 3, 1, 1, 0, 0, 3, 4, 1, 0, 1, 1, 3, 0, 4, 3, 4, 0, 3, 2, 2, 3, 1, 2, 0, 3, 1, 0, 1, 1, 0, 2, 4, 2, 1, 1, 4, 1, 1, 0, 3, 2, 0, 4, 3, 0, 0, 2, 1, 1, 4, 2, 0, 3, 4, 4, 3, 2, 3, 3, 2, 4, 4, 0, 2, 4, 1, 2, 3, 2, 2, 2, 3, 1, 0, 1, 2, 0, 1, 0, 3, 1, 0, 2, 2, 1, 4, 0, 4, 2, 0, 3, 4, 0, 2, 4, 0, 2, 2, 1, 3, 3, 3, 4, 3, 1, 1, 4, 2, 2, 4, 3, 1, 2, 4, 1, 4, 2, 1, 1, 2, 2, 4, 1, 3, 4, 1, 1, 1, 1, 3, 2, 1, 3, 4, 4, 0, 0, 0, 3, 3, 4, 3, 4, 4, 0, 4, 0, 0, 2, 3, 2, 2, 4, 4, 4, 2, 1, 0, 1, 0, 2, 4, 1, 1, 4, 1, 3, 4, 1, 4, 2, 3, 0, 3, 2, 1, 4, 2, 3, 2, 1, 1, 0, 3, 0, 0, 2, 3, 1, 4, 2, 4, 4, 3, 3, 4, 4, 4, 0, 3, 3, 0, 0, 3, 0, 2, 3, 3, 1, 2] pubkeycol606 = [2, 1, 3, 2, 2, 4, 1, 3, 2, 1, 3, 2, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 3, 1, 1, 3, 0, 3, 0, 2, 3, 1, 0, 0, 4, 2, 0, 3, 3, 3, 1, 4, 0, 4, 4, 1, 2, 4, 2, 0, 0, 3, 4, 3, 2, 1, 2, 3, 4, 2, 1, 2, 0, 3, 2, 4, 1, 3, 1, 0, 3, 0, 0, 4, 1, 0, 3, 4, 3, 0, 1, 0, 1, 2, 1, 4, 1, 3, 4, 1, 0, 4, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 3, 0, 4, 3, 3, 0, 3, 2, 3, 2, 0, 0, 2, 3, 2, 3, 2, 1, 1, 0, 0, 1, 1, 4, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 4, 1, 4, 4, 1, 4, 0, 4, 1, 3, 3, 1, 2, 3, 4, 1, 1, 4, 0, 3, 4, 1, 3, 0, 0, 3, 0, 4, 3, 1, 2, 3, 1, 4, 1, 1, 1, 1, 1, 0, 4, 0, 0, 0, 0, 3, 0, 2, 0, 3, 0, 3, 3, 0, 4, 1, 3, 3, 3, 0, 0, 0, 4, 1, 3, 1, 3, 2, 4, 0, 0, 0, 2, 4, 1, 4, 1, 2, 4, 2, 2, 3, 4, 3, 1, 3, 2, 1, 3, 4, 3, 0, 1, 4, 2, 1, 2, 4, 1, 1, 4, 2, 4, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 4, 3, 0, 2, 0, 3, 2, 2, 0, 4, 4, 4, 0, 2, 1, 1, 1, 3, 2, 1, 3, 0, 0, 2, 2, 0, 3, 4, 1, 3, 2, 4, 4, 2, 3, 2, 2, 1, 2, 1, 0, 4, 3, 0, 4, 2, 0, 1, 0, 3, 1, 4, 1, 1, 1, 4, 4, 2, 4, 2, 2, 1, 1, 4, 2, 3, 1, 0, 2, 0, 2, 3, 3, 1, 1, 4, 3, 2, 2, 4, 2, 2, 1, 0, 2, 1, 3, 0, 4, 2, 2, 1, 1, 0, 2, 2, 1, 3, 3, 0, 2, 3, 0, 0, 1, 1, 0, 2, 0, 4, 1, 2, 1, 3, 0, 1, 3, 1, 1, 3, 2, 3, 4, 1, 0, 1, 1, 1, 2, 3, 4, 4, 1, 0, 3, 3, 4, 4, 3, 1, 3, 0, 3, 3, 3, 3, 3, 0, 0, 1, 3, 0, 2, 4, 4, 3, 3, 4, 3, 1, 2, 4, 1, 3, 4, 2, 1, 3, 4, 0, 1, 2, 1, 4, 0, 1, 4, 1, 2, 2, 2, 3, 0, 3, 0, 0, 0, 0, 4, 4, 0, 0, 4, 3, 0, 1, 1, 1, 3, 1, 0, 0, 2, 2, 4, 4, 1, 1, 1, 4, 4, 4, 3, 1, 1, 3, 1, 3, 1, 2, 3, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol607 = [2, 3, 1, 3, 1, 3, 4, 3, 0, 4, 0, 0, 3, 1, 2, 2, 4, 1, 4, 1, 2, 4, 3, 3, 1, 4, 2, 0, 2, 3, 1, 3, 0, 0, 2, 1, 4, 1, 2, 1, 3, 2, 2, 3, 1, 0, 1, 3, 2, 1, 1, 1, 1, 4, 4, 0, 1, 2, 1, 4, 3, 2, 1, 4, 3, 0, 4, 3, 4, 1, 4, 2, 2, 3, 4, 3, 0, 2, 4, 3, 3, 0, 3, 4, 2, 0, 3, 1, 1, 4, 2, 1, 1, 1, 4, 4, 1, 3, 2, 4, 2, 2, 2, 3, 2, 3, 4, 4, 0, 4, 2, 0, 0, 1, 4, 0, 1, 3, 4, 2, 4, 3, 3, 4, 2, 0, 0, 3, 4, 2, 0, 1, 4, 4, 2, 4, 1, 3, 2, 2, 4, 3, 3, 1, 4, 2, 2, 3, 0, 2, 1, 0, 1, 4, 0, 0, 2, 0, 2, 0, 3, 0, 2, 4, 4, 0, 1, 4, 1, 0, 0, 1, 3, 1, 2, 2, 4, 1, 4, 0, 2, 2, 3, 1, 4, 3, 2, 2, 1, 1, 3, 1, 1, 3, 1, 3, 0, 2, 2, 3, 4, 3, 1, 2, 1, 3, 3, 1, 4, 2, 2, 1, 0, 4, 2, 0, 3, 1, 4, 1, 3, 1, 1, 4, 0, 1, 3, 2, 0, 4, 3, 2, 0, 4, 3, 0, 2, 1, 3, 0, 2, 4, 2, 0, 4, 2, 2, 1, 0, 0, 0, 4, 3, 2, 4, 4, 0, 0, 1, 1, 2, 0, 1, 3, 4, 4, 3, 1, 3, 0, 1, 4, 3, 3, 0, 3, 0, 0, 1, 3, 2, 3, 2, 2, 2, 2, 3, 0, 4, 2, 4, 1, 3, 4, 0, 2, 4, 4, 0, 3, 3, 0, 1, 2, 0, 1, 4, 3, 1, 0, 1, 0, 4, 4, 1, 2, 2, 1, 0, 2, 4, 4, 3, 3, 4, 2, 0, 0, 0, 4, 0, 3, 2, 0, 4, 3, 3, 0, 4, 2, 0, 3, 0, 3, 1, 3, 2, 4, 1, 0, 0, 0, 4, 2, 3, 1, 0, 4, 4, 3, 4, 2, 1, 1, 3, 2, 3, 4, 3, 1, 0, 0, 0, 1, 3, 2, 0, 2, 2, 2, 4, 4, 0, 2, 3, 0, 4, 1, 3, 2, 1, 1, 3, 1, 4, 3, 1, 4, 3, 1, 1, 3, 4, 3, 3, 0, 4, 1, 0, 2, 0, 4, 0, 2, 1, 1, 1, 0, 1, 3, 2, 0, 1, 1, 4, 2, 4, 4, 3, 2, 1, 4, 3, 4, 0, 4, 2, 1, 0, 2, 2, 2, 1, 2, 3, 3, 2, 3, 4, 4, 4, 4, 0, 3, 2, 4, 0, 0, 4, 1, 0, 2, 0, 3, 4, 3, 2, 4, 1, 3, 3, 3, 4, 4, 4, 2, 2, 4, 3, 0] pubkeycol608 = [1, 1, 0, 0, 0, 4, 2, 2, 0, 3, 2, 1, 1, 4, 3, 4, 4, 1, 3, 3, 3, 2, 1, 2, 0, 2, 0, 3, 3, 2, 0, 1, 2, 0, 2, 4, 3, 2, 4, 2, 2, 3, 1, 3, 4, 1, 2, 3, 0, 3, 1, 3, 0, 1, 0, 0, 0, 1, 4, 3, 4, 1, 1, 0, 1, 1, 4, 0, 1, 0, 3, 0, 2, 3, 4, 0, 1, 2, 1, 3, 3, 4, 4, 2, 3, 1, 4, 3, 4, 4, 3, 2, 3, 3, 3, 2, 3, 3, 0, 0, 0, 3, 2, 3, 0, 1, 3, 0, 1, 2, 3, 3, 4, 0, 3, 2, 0, 2, 1, 0, 0, 2, 4, 0, 2, 0, 1, 1, 1, 1, 0, 3, 0, 4, 2, 0, 1, 2, 4, 3, 1, 4, 0, 2, 1, 3, 0, 2, 2, 0, 2, 1, 1, 4, 1, 2, 2, 0, 1, 0, 3, 4, 2, 1, 1, 4, 4, 3, 4, 4, 4, 1, 1, 2, 3, 1, 1, 4, 3, 4, 1, 4, 1, 4, 2, 3, 3, 3, 4, 4, 3, 0, 3, 1, 0, 1, 1, 3, 1, 3, 4, 0, 4, 4, 4, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 4, 0, 0, 0, 3, 2, 3, 0, 1, 3, 2, 0, 4, 3, 4, 1, 3, 3, 1, 1, 0, 4, 3, 4, 4, 4, 4, 1, 4, 4, 3, 2, 1, 3, 2, 2, 4, 3, 1, 1, 1, 2, 0, 0, 3, 2, 4, 0, 3, 3, 2, 3, 4, 2, 1, 0, 2, 1, 3, 1, 4, 0, 3, 0, 0, 1, 2, 1, 4, 0, 4, 2, 0, 2, 0, 3, 3, 0, 0, 1, 1, 3, 4, 0, 1, 3, 1, 1, 2, 3, 4, 3, 4, 1, 4, 2, 2, 2, 4, 3, 4, 2, 1, 0, 1, 4, 4, 1, 0, 1, 1, 4, 1, 0, 0, 3, 2, 0, 0, 4, 4, 3, 3, 1, 0, 0, 4, 3, 2, 0, 2, 3, 4, 3, 3, 3, 0, 0, 4, 2, 0, 1, 0, 0, 3, 4, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 4, 3, 1, 0, 2, 0, 2, 2, 2, 4, 1, 1, 1, 2, 0, 3, 2, 1, 1, 4, 0, 3, 4, 2, 0, 3, 2, 3, 3, 2, 0, 0, 2, 2, 3, 0, 2, 4, 3, 4, 2, 4, 1, 3, 3, 3, 1, 1, 2, 2, 2, 4, 1, 0, 3, 3, 1, 1, 4, 3, 1, 2, 2, 0, 1, 1, 0, 4, 3, 0, 3, 3, 0, 3, 0, 2, 4, 0, 3, 2, 4, 4, 4, 4, 2, 1, 3, 3, 1, 2, 3, 0, 4, 2, 0, 4, 0, 0, 1, 4, 2, 2, 0, 4, 2, 0] pubkeycol609 = [3, 3, 4, 3, 1, 1, 1, 4, 4, 4, 1, 0, 3, 3, 4, 3, 2, 1, 1, 4, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 3, 1, 2, 3, 4, 3, 0, 4, 2, 2, 2, 0, 2, 4, 3, 0, 0, 1, 3, 4, 4, 1, 0, 4, 4, 4, 0, 3, 4, 4, 3, 3, 3, 0, 2, 3, 0, 0, 1, 3, 0, 0, 0, 4, 2, 2, 2, 2, 2, 0, 3, 4, 4, 1, 0, 1, 2, 2, 2, 1, 0, 4, 1, 3, 3, 4, 2, 0, 1, 2, 0, 4, 3, 0, 3, 2, 0, 3, 3, 2, 3, 4, 0, 1, 2, 2, 2, 3, 1, 0, 3, 3, 4, 2, 0, 1, 4, 3, 0, 3, 3, 4, 1, 2, 3, 3, 3, 4, 1, 0, 1, 2, 3, 2, 3, 0, 2, 0, 0, 2, 2, 3, 4, 4, 1, 4, 4, 2, 2, 1, 2, 0, 1, 1, 4, 0, 4, 0, 3, 4, 2, 4, 4, 0, 1, 2, 1, 3, 1, 2, 4, 1, 0, 0, 0, 0, 1, 0, 1, 4, 4, 0, 4, 3, 0, 2, 0, 1, 0, 1, 0, 3, 4, 2, 4, 2, 0, 4, 2, 3, 2, 3, 0, 1, 2, 0, 2, 2, 1, 4, 1, 2, 4, 4, 1, 3, 2, 4, 3, 2, 0, 3, 2, 2, 4, 1, 0, 2, 3, 4, 3, 1, 3, 3, 2, 3, 2, 0, 4, 4, 1, 2, 3, 4, 4, 2, 0, 3, 0, 0, 1, 4, 3, 2, 0, 2, 3, 1, 4, 3, 3, 2, 3, 0, 1, 0, 1, 2, 2, 0, 2, 1, 3, 1, 3, 3, 0, 1, 1, 2, 2, 3, 1, 4, 2, 3, 0, 1, 4, 4, 3, 3, 2, 4, 4, 2, 0, 0, 4, 3, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 3, 0, 4, 3, 4, 2, 1, 0, 4, 3, 3, 2, 1, 4, 3, 0, 1, 1, 1, 0, 0, 4, 2, 0, 0, 0, 3, 1, 0, 3, 0, 4, 1, 0, 1, 1, 2, 2, 0, 4, 1, 4, 2, 1, 3, 4, 4, 0, 3, 2, 0, 2, 0, 1, 2, 4, 4, 4, 4, 3, 2, 1, 0, 0, 2, 1, 1, 3, 0, 3, 3, 4, 3, 1, 4, 3, 3, 4, 1, 0, 2, 2, 2, 0, 4, 1, 4, 3, 1, 3, 4, 4, 0, 0, 4, 3, 0, 3, 3, 4, 0, 4, 1, 2, 3, 0, 1, 4, 1, 0, 2, 1, 3, 3, 3, 3, 1, 1, 0, 0, 2, 0, 0, 3, 0, 2, 4, 1, 0, 0, 2, 4, 2, 3, 2, 0, 1, 3, 0, 2, 4, 2, 2, 3, 3, 4, 0, 0, 0, 2, 4, 1, 3, 2, 1, 2, 1, 1] pubkeycol610 = [2, 4, 2, 1, 1, 2, 4, 3, 0, 4, 4, 3, 2, 3, 1, 2, 0, 1, 2, 1, 2, 3, 0, 3, 2, 2, 0, 0, 2, 2, 2, 2, 4, 3, 3, 4, 1, 4, 4, 0, 2, 0, 3, 4, 0, 2, 2, 0, 4, 0, 4, 3, 1, 1, 1, 1, 2, 3, 0, 4, 3, 0, 2, 4, 1, 4, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 3, 4, 1, 0, 2, 3, 2, 2, 1, 1, 3, 4, 2, 1, 3, 1, 0, 1, 4, 0, 2, 4, 4, 2, 4, 0, 0, 4, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 3, 3, 4, 0, 3, 1, 4, 2, 0, 3, 3, 2, 4, 2, 0, 2, 4, 1, 4, 0, 1, 1, 3, 2, 3, 3, 4, 0, 3, 3, 3, 2, 2, 4, 3, 1, 3, 1, 0, 4, 1, 4, 0, 2, 4, 1, 3, 1, 1, 4, 1, 3, 4, 1, 1, 1, 4, 2, 2, 2, 2, 3, 1, 0, 0, 0, 2, 2, 4, 1, 0, 1, 0, 1, 1, 4, 0, 0, 2, 4, 4, 4, 0, 4, 0, 3, 3, 0, 2, 1, 0, 3, 2, 4, 3, 4, 0, 2, 2, 1, 1, 2, 3, 2, 1, 0, 4, 1, 2, 3, 3, 0, 1, 4, 1, 0, 4, 1, 1, 3, 3, 0, 0, 2, 3, 2, 2, 3, 3, 4, 4, 3, 3, 0, 4, 1, 4, 4, 0, 1, 3, 1, 3, 1, 4, 3, 0, 4, 1, 3, 4, 4, 4, 1, 1, 1, 3, 3, 1, 2, 3, 4, 2, 4, 1, 0, 1, 0, 0, 3, 2, 2, 1, 3, 2, 1, 1, 1, 4, 2, 2, 4, 4, 2, 4, 0, 2, 0, 4, 3, 0, 1, 0, 3, 2, 1, 2, 4, 2, 0, 1, 0, 1, 3, 1, 4, 4, 1, 3, 1, 1, 2, 1, 3, 2, 4, 2, 3, 3, 4, 1, 3, 0, 3, 2, 0, 3, 4, 0, 4, 4, 1, 0, 3, 1, 0, 4, 3, 2, 3, 0, 4, 1, 0, 2, 4, 1, 4, 1, 2, 0, 3, 0, 0, 2, 0, 3, 1, 0, 3, 1, 3, 0, 0, 1, 2, 2, 3, 0, 4, 1, 1, 3, 0, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 0, 2, 0, 4, 2, 3, 2, 0, 1, 0, 0, 4, 4, 3, 1, 0, 2, 1, 4, 3, 1, 2, 4, 3, 4, 2, 4, 1, 3, 2, 2, 1, 1, 2, 0, 0, 3, 0, 2, 3, 0, 2, 0, 4, 0, 1, 4, 4, 3, 3, 1, 0, 1, 4, 4, 0, 3, 0, 4, 1, 0, 4, 3, 2, 1, 1, 1, 0, 0, 0, 3, 1, 1, 2, 3, 4, 3, 1, 1] pubkeycol611 = [4, 3, 2, 1, 2, 4, 0, 2, 0, 2, 0, 1, 0, 0, 4, 3, 2, 3, 2, 2, 2, 2, 0, 4, 4, 3, 4, 3, 0, 4, 4, 3, 1, 2, 2, 0, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 3, 4, 4, 1, 1, 0, 2, 0, 1, 0, 0, 3, 2, 0, 2, 4, 0, 1, 4, 2, 1, 2, 1, 2, 3, 4, 4, 0, 3, 3, 0, 3, 4, 0, 4, 3, 1, 4, 1, 4, 1, 3, 1, 0, 3, 0, 1, 2, 3, 0, 1, 3, 4, 4, 0, 1, 3, 0, 1, 0, 3, 1, 4, 1, 3, 2, 3, 3, 0, 4, 0, 1, 1, 3, 2, 4, 4, 0, 0, 1, 3, 2, 2, 0, 1, 0, 4, 4, 1, 2, 4, 4, 4, 0, 1, 0, 0, 4, 0, 1, 1, 4, 1, 3, 4, 1, 2, 2, 3, 1, 4, 2, 3, 2, 4, 1, 4, 1, 3, 0, 0, 3, 2, 4, 3, 1, 1, 3, 1, 1, 3, 4, 4, 3, 1, 4, 2, 1, 4, 4, 4, 1, 1, 4, 4, 2, 0, 0, 4, 4, 3, 2, 0, 2, 1, 0, 1, 3, 4, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 2, 4, 4, 3, 4, 0, 3, 2, 2, 2, 2, 4, 2, 4, 2, 3, 4, 4, 0, 2, 1, 0, 2, 2, 3, 4, 3, 4, 0, 3, 3, 1, 4, 0, 1, 1, 3, 2, 4, 4, 1, 2, 2, 3, 3, 2, 4, 0, 2, 1, 0, 3, 3, 0, 1, 3, 0, 1, 1, 2, 3, 0, 3, 4, 1, 4, 2, 2, 1, 4, 4, 4, 4, 2, 3, 2, 2, 0, 2, 2, 4, 3, 2, 2, 1, 0, 0, 4, 3, 4, 0, 4, 0, 4, 3, 2, 1, 4, 3, 0, 3, 1, 3, 4, 3, 2, 2, 3, 1, 1, 0, 4, 2, 1, 1, 4, 4, 2, 1, 3, 2, 1, 3, 2, 2, 0, 3, 4, 2, 1, 0, 2, 0, 0, 4, 4, 1, 3, 0, 0, 3, 3, 1, 0, 3, 4, 3, 3, 3, 3, 1, 4, 4, 2, 0, 3, 4, 3, 3, 1, 0, 3, 3, 1, 4, 1, 3, 2, 0, 3, 2, 0, 2, 2, 3, 3, 3, 3, 2, 4, 4, 1, 2, 1, 3, 4, 0, 4, 0, 4, 3, 4, 0, 0, 2, 3, 2, 3, 1, 2, 4, 0, 4, 3, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 0, 4, 1, 1, 3, 1, 0, 2, 3, 0, 2, 2, 2, 1, 0, 2, 0, 0, 3, 1, 0, 1, 3, 2, 4, 3, 3, 4, 2, 2, 2, 1, 4, 3, 2, 4] pubkeycol612 = [0, 2, 1, 3, 2, 2, 1, 3, 3, 1, 0, 1, 0, 1, 4, 2, 4, 2, 1, 2, 0, 2, 0, 4, 0, 4, 2, 2, 0, 1, 3, 1, 3, 2, 1, 1, 1, 4, 4, 0, 4, 0, 1, 3, 1, 3, 0, 3, 0, 0, 0, 2, 4, 4, 3, 1, 0, 1, 4, 0, 3, 3, 1, 2, 0, 1, 1, 4, 4, 0, 2, 0, 3, 3, 1, 0, 0, 0, 0, 4, 4, 0, 2, 3, 0, 3, 3, 3, 3, 2, 0, 1, 4, 4, 4, 0, 2, 0, 3, 1, 4, 1, 0, 2, 0, 1, 0, 4, 3, 3, 1, 1, 2, 3, 0, 1, 4, 1, 2, 0, 3, 2, 2, 2, 2, 0, 0, 0, 1, 1, 4, 2, 3, 1, 1, 1, 0, 2, 4, 1, 1, 1, 3, 2, 1, 2, 1, 2, 2, 3, 4, 2, 0, 3, 4, 3, 2, 3, 4, 0, 1, 0, 2, 3, 1, 4, 0, 3, 3, 0, 4, 4, 0, 2, 3, 4, 1, 2, 2, 0, 3, 4, 3, 3, 2, 4, 3, 4, 0, 4, 4, 0, 2, 0, 0, 2, 2, 1, 3, 0, 4, 4, 1, 0, 0, 3, 3, 3, 0, 0, 0, 2, 3, 2, 4, 0, 3, 4, 0, 4, 3, 3, 1, 0, 2, 4, 0, 2, 0, 0, 1, 2, 1, 2, 0, 3, 4, 1, 2, 0, 0, 0, 3, 3, 4, 1, 2, 4, 3, 2, 4, 1, 3, 4, 1, 1, 4, 3, 3, 1, 0, 2, 3, 4, 2, 0, 0, 1, 4, 4, 4, 2, 4, 4, 3, 0, 3, 2, 0, 1, 0, 4, 1, 2, 2, 1, 0, 1, 3, 4, 2, 2, 3, 3, 0, 2, 4, 0, 4, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 4, 0, 2, 3, 4, 3, 0, 0, 2, 2, 3, 4, 4, 0, 2, 1, 2, 3, 3, 4, 0, 0, 3, 2, 1, 3, 1, 2, 4, 0, 2, 3, 3, 4, 2, 2, 4, 3, 3, 4, 0, 0, 2, 1, 2, 1, 3, 0, 2, 3, 3, 3, 3, 0, 3, 4, 0, 0, 0, 4, 0, 1, 3, 0, 1, 3, 3, 1, 1, 1, 3, 4, 0, 2, 2, 4, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 4, 1, 1, 2, 0, 2, 1, 2, 1, 3, 1, 0, 2, 3, 2, 4, 1, 4, 1, 1, 2, 4, 1, 0, 3, 4, 4, 4, 2, 0, 0, 1, 0, 2, 2, 3, 0, 4, 0, 3, 0, 0, 2, 4, 2, 1, 2, 1, 0, 3, 3, 4, 1, 3, 4, 4, 4, 0, 0, 2, 3, 1, 1, 1, 1, 3, 4, 0, 3, 4, 2, 3, 2, 1, 4, 3, 2, 1, 0, 4, 3, 1, 2] pubkeycol613 = [4, 1, 4, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 4, 4, 4, 0, 1, 1, 4, 1, 0, 0, 2, 3, 4, 3, 0, 2, 2, 2, 2, 3, 4, 2, 2, 4, 2, 2, 2, 2, 2, 3, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 4, 1, 0, 0, 4, 3, 1, 4, 2, 4, 3, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 4, 2, 1, 1, 1, 0, 0, 4, 3, 2, 3, 2, 3, 4, 1, 1, 1, 0, 3, 0, 3, 0, 4, 0, 4, 2, 4, 2, 1, 4, 3, 0, 3, 1, 4, 2, 4, 3, 0, 2, 2, 3, 1, 3, 0, 4, 2, 2, 3, 4, 2, 4, 1, 2, 3, 2, 3, 2, 2, 2, 1, 4, 4, 4, 1, 3, 1, 1, 4, 0, 4, 3, 0, 0, 4, 0, 3, 0, 4, 1, 1, 0, 2, 4, 2, 2, 2, 4, 1, 0, 1, 1, 4, 2, 1, 2, 3, 3, 1, 2, 4, 0, 2, 3, 4, 4, 2, 2, 2, 4, 2, 1, 4, 3, 4, 3, 1, 3, 0, 1, 4, 0, 3, 2, 1, 3, 4, 4, 0, 1, 3, 3, 0, 3, 2, 1, 1, 4, 1, 4, 0, 4, 4, 3, 2, 4, 0, 2, 4, 4, 0, 4, 4, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0, 4, 3, 1, 2, 3, 2, 0, 3, 1, 0, 3, 1, 2, 2, 0, 1, 0, 1, 3, 2, 4, 1, 3, 2, 2, 0, 2, 2, 2, 3, 0, 4, 3, 4, 0, 0, 1, 0, 1, 1, 4, 4, 1, 4, 4, 2, 3, 1, 1, 2, 3, 4, 0, 4, 0, 1, 4, 4, 3, 1, 1, 3, 2, 1, 4, 3, 2, 1, 3, 2, 0, 1, 2, 4, 3, 0, 3, 2, 1, 3, 1, 2, 4, 1, 1, 0, 1, 3, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 2, 2, 4, 2, 1, 3, 0, 0, 3, 0, 1, 2, 0, 1, 0, 2, 4, 0, 4, 4, 3, 2, 1, 1, 3, 4, 0, 4, 1, 2, 3, 0, 1, 1, 4, 2, 1, 3, 1, 4, 2, 0, 0, 0, 2, 3, 2, 3, 2, 1, 4, 0, 3, 2, 3, 3, 4, 2, 2, 4, 3, 2, 1, 2, 1, 2, 3, 0, 0, 2, 2, 2, 3, 1, 1, 1, 0, 0, 3, 3, 1, 3, 3, 2, 1, 0, 3, 2, 3, 0, 3, 2, 1, 0, 1, 1, 4, 2, 4, 0, 3, 4, 3, 1, 0, 4, 4, 3, 4, 0, 1, 4, 3, 3, 1, 2, 1, 2, 3, 1, 2, 3, 1, 3, 1, 0, 4, 4, 4, 3, 3, 3, 3, 4] pubkeycol614 = [3, 1, 0, 3, 4, 2, 4, 1, 0, 3, 3, 4, 2, 3, 4, 1, 4, 2, 4, 2, 1, 0, 3, 1, 0, 1, 4, 0, 2, 4, 0, 4, 2, 0, 1, 3, 4, 2, 0, 4, 2, 3, 1, 1, 2, 0, 0, 1, 4, 0, 0, 1, 4, 1, 1, 3, 4, 0, 2, 1, 3, 3, 4, 4, 4, 4, 3, 2, 2, 2, 3, 0, 1, 3, 1, 3, 3, 3, 0, 0, 2, 3, 1, 0, 1, 0, 4, 0, 4, 3, 1, 0, 1, 4, 2, 3, 3, 4, 0, 0, 1, 0, 1, 2, 3, 2, 4, 3, 4, 0, 0, 2, 0, 3, 3, 0, 4, 0, 0, 1, 1, 2, 2, 2, 0, 0, 4, 1, 1, 1, 2, 2, 3, 3, 4, 1, 3, 4, 4, 4, 0, 4, 0, 1, 2, 3, 4, 2, 1, 0, 0, 0, 2, 3, 2, 3, 2, 1, 4, 2, 4, 1, 0, 4, 3, 1, 4, 0, 2, 2, 2, 3, 2, 4, 2, 3, 4, 3, 4, 1, 4, 3, 1, 4, 1, 1, 4, 4, 3, 2, 4, 1, 2, 4, 0, 1, 2, 4, 0, 3, 0, 4, 3, 2, 3, 4, 3, 1, 3, 1, 4, 3, 4, 0, 1, 3, 2, 4, 4, 1, 4, 3, 4, 1, 3, 0, 0, 0, 4, 2, 2, 0, 1, 2, 2, 4, 2, 2, 3, 4, 3, 4, 2, 0, 2, 2, 2, 4, 2, 2, 3, 0, 3, 4, 1, 1, 2, 4, 2, 4, 4, 3, 3, 4, 4, 1, 4, 1, 4, 0, 0, 0, 4, 4, 1, 4, 3, 2, 0, 3, 0, 2, 2, 1, 2, 2, 3, 3, 3, 0, 3, 1, 3, 3, 4, 3, 3, 0, 1, 4, 1, 4, 1, 2, 0, 1, 1, 3, 0, 4, 4, 1, 3, 2, 0, 2, 0, 4, 2, 3, 0, 1, 0, 4, 0, 3, 4, 3, 1, 1, 0, 4, 3, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 3, 3, 1, 0, 4, 4, 4, 0, 3, 2, 1, 3, 4, 3, 0, 0, 1, 4, 3, 0, 0, 4, 3, 3, 4, 1, 3, 3, 4, 0, 4, 0, 2, 3, 1, 3, 3, 0, 2, 4, 4, 1, 3, 0, 0, 4, 2, 4, 2, 4, 3, 2, 1, 1, 2, 4, 0, 2, 0, 1, 1, 4, 0, 2, 0, 1, 1, 0, 4, 1, 1, 1, 0, 1, 3, 1, 2, 2, 0, 0, 1, 3, 4, 3, 2, 0, 0, 2, 1, 1, 4, 4, 0, 4, 2, 3, 1, 1, 4, 1, 3, 3, 4, 4, 4, 3, 0, 0, 2, 0, 4, 3, 1, 2, 0, 4, 4, 0, 2, 2, 0, 4, 1, 0, 1, 2, 3, 0, 0, 4, 3, 1, 4, 2, 3, 1, 2] pubkeycol615 = [0, 0, 0, 0, 3, 0, 2, 0, 2, 3, 3, 3, 2, 3, 0, 1, 3, 3, 1, 4, 1, 1, 4, 0, 2, 1, 3, 4, 3, 1, 1, 2, 0, 2, 3, 1, 2, 1, 0, 4, 4, 1, 2, 2, 3, 3, 4, 0, 0, 4, 2, 0, 2, 3, 2, 0, 2, 1, 4, 0, 0, 2, 1, 4, 1, 4, 0, 2, 2, 3, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 4, 3, 3, 3, 4, 0, 2, 2, 3, 1, 2, 0, 4, 1, 4, 4, 4, 2, 3, 1, 2, 1, 4, 1, 0, 2, 3, 2, 3, 1, 3, 2, 4, 0, 1, 2, 4, 4, 1, 0, 2, 0, 0, 0, 3, 3, 0, 4, 4, 3, 1, 3, 0, 4, 0, 3, 4, 1, 3, 3, 2, 2, 0, 0, 2, 2, 1, 3, 1, 3, 2, 2, 0, 2, 0, 4, 4, 2, 3, 0, 4, 2, 2, 0, 0, 1, 4, 4, 3, 0, 2, 3, 3, 4, 1, 4, 4, 2, 2, 4, 2, 1, 1, 3, 4, 2, 4, 4, 3, 0, 3, 4, 0, 2, 1, 4, 2, 2, 1, 4, 3, 1, 2, 0, 2, 4, 0, 2, 2, 1, 2, 0, 4, 0, 0, 2, 4, 1, 4, 4, 0, 1, 2, 1, 1, 0, 1, 4, 2, 4, 3, 0, 1, 2, 3, 3, 1, 0, 3, 2, 3, 1, 4, 4, 3, 3, 3, 2, 3, 4, 4, 0, 0, 1, 3, 0, 2, 2, 1, 0, 2, 4, 0, 3, 1, 1, 2, 1, 1, 1, 3, 2, 3, 1, 2, 0, 3, 4, 1, 3, 4, 2, 1, 2, 4, 2, 3, 1, 1, 0, 3, 3, 2, 0, 2, 4, 4, 3, 1, 0, 3, 4, 4, 4, 3, 2, 2, 0, 4, 2, 3, 4, 0, 0, 4, 0, 1, 3, 3, 0, 4, 3, 0, 0, 2, 1, 0, 3, 3, 3, 4, 0, 4, 4, 4, 1, 0, 3, 2, 4, 2, 4, 0, 2, 0, 0, 2, 1, 3, 3, 1, 0, 0, 1, 4, 1, 1, 3, 2, 1, 1, 1, 4, 0, 0, 3, 3, 4, 4, 0, 0, 3, 4, 4, 4, 3, 3, 1, 0, 2, 2, 4, 0, 2, 4, 1, 1, 3, 3, 0, 1, 4, 0, 4, 2, 2, 1, 2, 0, 2, 1, 2, 4, 0, 0, 4, 3, 3, 4, 3, 2, 2, 2, 0, 3, 2, 3, 4, 3, 1, 3, 4, 1, 0, 0, 2, 2, 3, 4, 3, 0, 2, 2, 2, 2, 3, 4, 2, 4, 4, 2, 3, 4, 1, 4, 1, 3, 0, 4, 4, 2, 3, 0, 2, 1, 4, 1, 0, 3, 4, 1, 4, 0, 2, 2, 4, 3, 2, 1, 2, 2, 0, 2, 3, 0, 0, 3, 4, 0] pubkeycol616 = [0, 1, 4, 1, 0, 3, 4, 4, 1, 3, 1, 4, 1, 4, 1, 0, 0, 3, 4, 2, 0, 0, 2, 2, 2, 3, 4, 3, 0, 1, 3, 2, 0, 3, 1, 4, 1, 3, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 4, 3, 0, 1, 2, 3, 3, 2, 2, 0, 4, 1, 0, 4, 2, 1, 0, 3, 0, 2, 3, 3, 3, 4, 3, 4, 2, 4, 1, 1, 2, 1, 1, 2, 2, 1, 0, 3, 0, 2, 2, 4, 3, 1, 1, 1, 2, 2, 4, 2, 3, 3, 0, 2, 0, 3, 3, 3, 1, 2, 1, 4, 1, 4, 2, 1, 3, 3, 2, 4, 4, 3, 3, 0, 2, 0, 4, 1, 1, 4, 1, 4, 4, 2, 4, 4, 4, 2, 2, 0, 2, 4, 2, 0, 0, 1, 2, 4, 3, 2, 1, 1, 2, 4, 2, 3, 2, 0, 3, 3, 3, 0, 0, 3, 1, 2, 1, 2, 4, 1, 1, 1, 3, 4, 3, 4, 1, 0, 0, 3, 0, 0, 1, 1, 0, 1, 2, 4, 4, 1, 1, 0, 1, 1, 2, 2, 1, 3, 3, 4, 0, 1, 3, 4, 4, 4, 3, 0, 3, 0, 4, 0, 4, 4, 1, 1, 4, 1, 4, 2, 0, 1, 4, 2, 2, 4, 0, 3, 0, 3, 4, 3, 0, 4, 2, 4, 3, 3, 4, 0, 3, 2, 1, 3, 0, 0, 2, 2, 2, 3, 3, 4, 0, 4, 0, 4, 4, 2, 2, 4, 2, 4, 0, 4, 4, 2, 2, 1, 4, 1, 3, 2, 0, 0, 2, 2, 2, 0, 2, 4, 3, 1, 3, 4, 0, 1, 4, 4, 4, 4, 3, 1, 1, 3, 0, 2, 3, 0, 1, 2, 1, 4, 1, 2, 4, 1, 3, 4, 2, 3, 3, 0, 3, 1, 0, 1, 2, 4, 4, 4, 2, 1, 0, 0, 3, 1, 3, 3, 2, 3, 4, 3, 3, 4, 3, 1, 2, 2, 1, 3, 2, 3, 3, 4, 3, 0, 4, 2, 0, 1, 4, 3, 3, 1, 0, 0, 2, 0, 2, 0, 0, 3, 1, 1, 2, 1, 1, 1, 3, 1, 1, 0, 1, 2, 0, 1, 0, 2, 4, 4, 4, 0, 3, 3, 1, 2, 1, 2, 1, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 2, 4, 0, 4, 0, 0, 4, 4, 0, 2, 3, 1, 2, 3, 3, 2, 0, 1, 4, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 3, 1, 0, 3, 2, 4, 2, 3, 2, 1, 4, 2, 4, 4, 3, 0, 4, 3, 1, 1, 2, 4, 1, 3, 0, 3, 1, 1, 0, 3, 4, 2, 3, 1, 3, 1, 2, 3, 0, 4, 0, 0, 2, 1, 4, 2] pubkeycol617 = [4, 2, 1, 2, 2, 2, 4, 3, 2, 0, 0, 0, 1, 2, 0, 2, 3, 2, 1, 0, 0, 0, 2, 4, 1, 1, 4, 1, 4, 4, 0, 1, 4, 1, 1, 0, 2, 0, 4, 2, 3, 1, 0, 4, 2, 1, 0, 2, 4, 0, 2, 4, 2, 2, 2, 2, 1, 4, 1, 0, 0, 4, 0, 3, 4, 0, 0, 3, 1, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 0, 4, 0, 1, 0, 0, 3, 3, 4, 2, 0, 1, 2, 1, 2, 3, 2, 4, 0, 0, 0, 2, 2, 1, 4, 1, 4, 3, 3, 3, 4, 2, 3, 3, 4, 4, 2, 0, 0, 3, 4, 4, 3, 0, 0, 4, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 4, 0, 2, 3, 2, 0, 0, 0, 4, 2, 0, 0, 0, 1, 4, 2, 4, 4, 2, 3, 0, 3, 4, 1, 4, 0, 1, 3, 3, 4, 1, 4, 0, 2, 2, 0, 4, 3, 3, 0, 4, 4, 2, 4, 0, 0, 4, 4, 3, 0, 4, 1, 4, 0, 0, 1, 3, 2, 4, 1, 0, 2, 2, 3, 0, 0, 0, 3, 4, 3, 0, 4, 2, 4, 1, 0, 3, 2, 4, 1, 3, 3, 1, 4, 1, 4, 3, 2, 0, 4, 3, 3, 1, 4, 0, 1, 4, 4, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 3, 3, 3, 4, 0, 1, 0, 0, 1, 0, 0, 4, 3, 3, 4, 2, 3, 1, 1, 2, 3, 3, 2, 1, 3, 3, 3, 4, 2, 1, 3, 0, 1, 2, 1, 3, 1, 3, 3, 4, 3, 4, 2, 2, 4, 1, 1, 2, 4, 4, 0, 1, 3, 4, 2, 4, 3, 2, 0, 2, 1, 0, 4, 4, 0, 0, 4, 1, 0, 3, 1, 1, 1, 0, 3, 2, 3, 2, 3, 2, 4, 1, 3, 4, 3, 2, 0, 1, 3, 1, 2, 2, 4, 4, 1, 4, 4, 3, 4, 0, 1, 1, 2, 3, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 0, 4, 1, 1, 3, 4, 1, 2, 1, 4, 3, 1, 2, 4, 1, 3, 3, 0, 4, 3, 3, 4, 1, 2, 4, 3, 0, 0, 0, 2, 1, 0, 3, 2, 0, 1, 2, 4, 4, 2, 2, 0, 2, 3, 1, 2, 3, 2, 1, 0, 4, 3, 1, 2, 2, 2, 0, 0, 3, 4, 1, 0, 2, 2, 0, 3, 0, 2, 1, 4, 1, 2, 2, 1, 0, 2, 0, 0, 4, 2, 2, 0, 2, 4, 2, 0, 1, 1, 1, 2, 2, 1, 0, 3, 3, 3, 3, 3, 1, 2, 2, 1, 2, 2, 4, 4, 4, 2, 2, 1, 2, 4, 4, 0, 2, 3, 4, 2, 0, 4, 1, 2] pubkeycol618 = [1, 2, 2, 0, 2, 3, 0, 0, 0, 4, 0, 2, 0, 1, 0, 1, 2, 3, 4, 3, 2, 0, 1, 3, 2, 0, 4, 3, 2, 0, 4, 1, 1, 2, 1, 3, 3, 2, 0, 2, 4, 3, 1, 2, 4, 1, 1, 0, 3, 0, 4, 2, 1, 2, 3, 2, 4, 2, 4, 4, 4, 3, 0, 2, 1, 4, 3, 3, 0, 2, 2, 3, 0, 0, 4, 3, 4, 4, 1, 2, 4, 3, 4, 0, 0, 4, 2, 0, 3, 4, 4, 0, 4, 4, 2, 0, 3, 3, 4, 4, 1, 1, 2, 3, 4, 3, 4, 4, 3, 3, 0, 2, 4, 2, 3, 3, 2, 0, 1, 0, 3, 4, 3, 1, 1, 0, 4, 3, 4, 0, 2, 0, 3, 0, 4, 4, 4, 4, 4, 0, 0, 0, 3, 2, 3, 4, 2, 2, 2, 2, 3, 4, 4, 1, 2, 0, 0, 3, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 4, 3, 1, 2, 1, 4, 0, 0, 3, 2, 0, 2, 3, 4, 3, 1, 1, 0, 3, 4, 4, 4, 3, 3, 3, 0, 1, 2, 2, 4, 1, 1, 4, 3, 1, 0, 4, 3, 1, 4, 4, 2, 1, 3, 3, 2, 2, 1, 0, 3, 0, 3, 3, 1, 0, 0, 0, 3, 0, 1, 0, 0, 1, 3, 3, 2, 1, 0, 2, 2, 1, 2, 0, 3, 1, 0, 2, 3, 1, 4, 3, 0, 0, 4, 4, 4, 1, 3, 3, 0, 2, 3, 1, 4, 1, 4, 2, 1, 1, 3, 0, 0, 2, 4, 1, 1, 4, 1, 0, 2, 3, 3, 4, 4, 1, 1, 2, 3, 2, 1, 2, 4, 2, 0, 3, 0, 4, 1, 2, 2, 2, 0, 2, 1, 0, 0, 3, 1, 4, 2, 2, 1, 4, 1, 2, 0, 0, 4, 2, 2, 3, 3, 4, 1, 3, 3, 4, 3, 2, 0, 2, 4, 0, 3, 3, 3, 1, 1, 1, 4, 4, 3, 0, 1, 2, 3, 2, 2, 4, 4, 4, 0, 0, 1, 4, 3, 1, 1, 1, 0, 3, 0, 2, 0, 3, 2, 0, 1, 3, 1, 2, 1, 4, 3, 3, 3, 3, 4, 2, 1, 0, 0, 0, 3, 4, 2, 4, 0, 2, 2, 2, 0, 0, 2, 0, 1, 3, 1, 2, 1, 0, 1, 1, 1, 4, 2, 0, 4, 1, 1, 4, 3, 2, 0, 0, 4, 4, 2, 2, 0, 0, 3, 3, 2, 0, 1, 0, 4, 4, 2, 1, 0, 2, 4, 3, 0, 1, 0, 3, 2, 2, 2, 2, 2, 2, 4, 0, 4, 2, 1, 0, 2, 0, 1, 0, 4, 1, 4, 2, 4, 4, 3, 0, 4, 0, 3, 2, 2, 3, 4, 1, 2, 4, 2, 3, 4, 2, 0, 0, 3, 0, 1] pubkeycol619 = [2, 1, 4, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 0, 0, 3, 1, 2, 3, 3, 4, 2, 0, 4, 2, 3, 3, 3, 4, 3, 1, 2, 1, 3, 0, 3, 1, 1, 0, 3, 4, 2, 3, 3, 2, 4, 1, 3, 0, 2, 3, 0, 2, 4, 4, 3, 0, 1, 3, 1, 2, 1, 3, 0, 2, 0, 1, 3, 1, 1, 1, 0, 1, 2, 4, 1, 1, 3, 1, 1, 2, 4, 2, 2, 1, 2, 4, 2, 1, 3, 1, 1, 1, 1, 0, 3, 2, 3, 2, 1, 3, 1, 2, 3, 2, 2, 0, 0, 2, 1, 1, 4, 4, 1, 1, 2, 1, 4, 2, 1, 1, 1, 0, 4, 2, 1, 4, 2, 3, 2, 1, 0, 4, 1, 3, 3, 4, 4, 2, 4, 2, 1, 4, 3, 2, 3, 2, 4, 0, 4, 3, 3, 4, 4, 1, 0, 3, 4, 2, 4, 1, 1, 2, 1, 0, 3, 0, 2, 1, 1, 4, 3, 3, 2, 1, 3, 3, 3, 0, 3, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 3, 0, 4, 4, 3, 3, 1, 1, 1, 1, 1, 3, 2, 0, 2, 3, 0, 1, 2, 3, 4, 3, 1, 3, 2, 2, 2, 4, 4, 0, 2, 0, 3, 3, 3, 3, 4, 2, 1, 1, 4, 0, 3, 3, 2, 4, 0, 1, 0, 4, 4, 0, 4, 1, 3, 1, 3, 3, 1, 4, 2, 3, 0, 2, 0, 0, 4, 1, 3, 4, 0, 1, 4, 1, 1, 0, 4, 4, 0, 0, 3, 2, 2, 3, 3, 4, 0, 4, 2, 0, 1, 4, 4, 1, 1, 4, 2, 4, 1, 2, 2, 4, 4, 3, 2, 3, 3, 0, 1, 0, 0, 2, 3, 2, 0, 2, 4, 3, 3, 3, 3, 1, 3, 0, 4, 3, 2, 4, 4, 3, 2, 2, 4, 4, 2, 1, 3, 0, 0, 1, 1, 0, 4, 3, 1, 0, 3, 3, 3, 3, 0, 0, 2, 2, 4, 4, 3, 4, 0, 3, 0, 0, 4, 0, 4, 4, 1, 2, 1, 1, 4, 4, 2, 1, 3, 2, 0, 4, 1, 2, 3, 3, 4, 2, 1, 2, 4, 4, 0, 2, 2, 3, 3, 0, 3, 3, 4, 1, 2, 3, 3, 3, 0, 1, 2, 0, 4, 0, 0, 1, 1, 4, 3, 4, 2, 3, 2, 3, 0, 0, 1, 1, 3, 2, 1, 0, 1, 4, 3, 3, 2, 0, 2, 4, 4, 0, 2, 2, 1, 4, 1, 3, 0, 3, 3, 2, 3, 2, 1, 0, 3, 2, 3, 2, 0, 2, 3, 3, 4, 3, 0, 3, 4, 1, 0, 2, 2, 2, 4, 3, 4, 3, 0, 0, 1, 0, 2, 0, 4, 0, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol620 = [1, 4, 3, 0, 3, 1, 0, 1, 4, 2, 1, 2, 1, 1, 4, 3, 4, 0, 2, 3, 1, 3, 4, 4, 3, 3, 1, 1, 4, 1, 4, 4, 2, 0, 0, 2, 0, 2, 3, 0, 0, 1, 4, 3, 1, 1, 2, 0, 3, 0, 4, 1, 0, 1, 0, 2, 4, 4, 2, 2, 0, 2, 4, 0, 4, 0, 2, 4, 1, 3, 2, 2, 2, 1, 3, 4, 3, 2, 2, 3, 0, 2, 3, 4, 3, 0, 0, 0, 2, 0, 0, 2, 4, 2, 4, 4, 3, 2, 4, 3, 3, 2, 4, 0, 3, 2, 2, 0, 3, 3, 1, 3, 2, 3, 3, 2, 0, 2, 2, 0, 4, 1, 1, 3, 4, 0, 4, 2, 1, 0, 0, 4, 3, 1, 4, 3, 0, 1, 0, 0, 1, 3, 2, 2, 4, 3, 3, 0, 3, 2, 2, 4, 1, 2, 1, 0, 1, 2, 3, 0, 1, 4, 2, 2, 3, 1, 0, 2, 0, 4, 4, 0, 3, 4, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 3, 1, 2, 3, 4, 4, 1, 3, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 4, 1, 3, 2, 1, 2, 4, 1, 0, 3, 4, 4, 2, 0, 3, 4, 3, 1, 4, 2, 3, 2, 4, 0, 1, 1, 4, 2, 3, 0, 1, 1, 2, 2, 4, 2, 3, 2, 2, 1, 3, 2, 2, 1, 4, 1, 0, 1, 4, 2, 0, 2, 2, 1, 0, 2, 4, 2, 4, 1, 3, 1, 0, 2, 4, 0, 0, 1, 2, 2, 1, 4, 3, 3, 4, 1, 4, 4, 1, 4, 2, 3, 3, 4, 4, 2, 2, 3, 0, 1, 0, 3, 3, 4, 2, 0, 1, 1, 4, 1, 2, 4, 4, 4, 4, 0, 1, 0, 0, 1, 1, 1, 4, 0, 3, 0, 4, 3, 3, 2, 0, 1, 1, 4, 2, 4, 0, 0, 4, 3, 0, 0, 0, 3, 0, 0, 2, 1, 2, 1, 0, 2, 3, 2, 4, 2, 1, 3, 3, 0, 0, 2, 0, 2, 1, 0, 4, 2, 3, 3, 1, 4, 2, 4, 2, 0, 0, 4, 2, 2, 1, 1, 0, 3, 4, 2, 1, 2, 1, 0, 3, 0, 1, 4, 0, 0, 2, 2, 3, 2, 0, 1, 2, 0, 3, 4, 3, 2, 0, 1, 3, 0, 3, 4, 3, 4, 1, 2, 2, 3, 1, 3, 4, 3, 1, 3, 2, 0, 4, 2, 2, 2, 4, 3, 4, 2, 4, 0, 0, 1, 4, 1, 0, 4, 3, 2, 1, 0, 1, 2, 4, 0, 0, 2, 4, 1, 3, 3, 4, 1, 4, 1, 0, 3, 4, 0, 0, 3, 3, 0, 0, 3, 0, 2, 2, 3, 0, 3, 1, 4, 1, 2, 4, 3, 4, 0, 4] pubkeycol621 = [0, 1, 0, 4, 0, 1, 3, 0, 2, 3, 0, 4, 0, 4, 3, 4, 4, 1, 2, 0, 0, 2, 0, 3, 2, 1, 1, 0, 1, 4, 4, 4, 0, 3, 4, 0, 2, 3, 4, 3, 4, 0, 0, 3, 0, 0, 2, 4, 0, 3, 0, 1, 1, 1, 0, 2, 1, 3, 3, 2, 1, 0, 2, 4, 1, 0, 0, 3, 3, 1, 4, 3, 4, 0, 1, 0, 3, 3, 0, 1, 4, 1, 2, 4, 3, 2, 3, 2, 1, 0, 0, 3, 4, 0, 4, 3, 0, 0, 3, 0, 4, 3, 1, 3, 0, 0, 3, 3, 2, 2, 0, 4, 4, 0, 3, 1, 2, 4, 1, 4, 2, 1, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 3, 4, 1, 3, 2, 1, 3, 3, 2, 3, 3, 3, 3, 0, 4, 2, 3, 2, 0, 4, 2, 2, 2, 4, 1, 2, 3, 0, 0, 3, 2, 4, 4, 0, 3, 3, 2, 0, 3, 2, 4, 4, 3, 1, 0, 4, 2, 4, 3, 4, 0, 4, 3, 1, 2, 4, 1, 4, 4, 1, 4, 2, 1, 3, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 3, 3, 0, 3, 3, 3, 4, 1, 4, 1, 3, 0, 2, 1, 4, 3, 4, 1, 2, 3, 1, 4, 2, 4, 2, 4, 2, 0, 2, 1, 0, 4, 2, 1, 4, 3, 4, 0, 4, 0, 1, 3, 2, 0, 4, 2, 4, 2, 3, 1, 0, 4, 0, 1, 4, 4, 0, 0, 4, 0, 2, 1, 0, 4, 2, 0, 4, 2, 3, 1, 1, 2, 2, 2, 3, 2, 3, 4, 2, 4, 3, 4, 0, 4, 3, 2, 3, 1, 3, 0, 0, 1, 3, 2, 3, 0, 0, 4, 0, 3, 3, 1, 1, 2, 3, 1, 3, 2, 0, 2, 0, 2, 3, 4, 0, 3, 3, 1, 0, 1, 2, 3, 1, 0, 1, 1, 4, 2, 3, 2, 2, 2, 0, 3, 0, 4, 1, 3, 2, 4, 4, 1, 1, 2, 0, 3, 0, 0, 2, 0, 1, 4, 4, 4, 4, 4, 3, 3, 0, 2, 4, 2, 2, 4, 1, 0, 4, 3, 1, 4, 0, 2, 1, 3, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 4, 2, 3, 3, 2, 2, 1, 3, 0, 2, 1, 3, 3, 2, 2, 3, 1, 3, 0, 0, 3, 0, 0, 4, 4, 3, 2, 1, 0, 1, 4, 4, 1, 3, 3, 1, 0, 3, 0, 3, 3, 1, 2, 4, 1, 4, 3, 2, 3, 2, 2, 2, 2, 4, 3, 0, 4, 4, 4, 3, 1, 4, 4, 1, 0, 2, 2, 0, 3, 0, 2, 1, 4, 2, 1, 0, 3, 1, 1, 0, 0, 3, 4, 4, 1, 2] pubkeycol622 = [0, 0, 4, 3, 1, 4, 4, 4, 0, 4, 3, 1, 2, 3, 4, 1, 0, 0, 2, 0, 2, 0, 3, 4, 3, 2, 1, 0, 1, 2, 1, 3, 4, 2, 0, 2, 0, 4, 0, 1, 3, 3, 2, 2, 2, 4, 3, 3, 3, 4, 1, 2, 1, 0, 3, 4, 0, 4, 1, 0, 1, 4, 4, 4, 3, 3, 3, 3, 2, 0, 0, 4, 3, 3, 3, 3, 3, 0, 0, 2, 0, 4, 4, 4, 0, 3, 2, 4, 3, 3, 4, 0, 1, 0, 2, 4, 0, 4, 0, 3, 2, 0, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 4, 1, 1, 0, 0, 0, 4, 2, 2, 2, 2, 1, 0, 3, 1, 1, 2, 0, 4, 4, 2, 3, 3, 3, 3, 1, 3, 1, 3, 4, 2, 4, 1, 3, 2, 1, 3, 2, 3, 1, 3, 4, 3, 1, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 1, 2, 0, 1, 2, 2, 3, 2, 2, 4, 3, 0, 4, 4, 3, 0, 3, 1, 3, 0, 3, 0, 3, 4, 1, 3, 1, 4, 1, 4, 0, 1, 3, 1, 0, 2, 0, 3, 3, 0, 0, 3, 1, 1, 1, 1, 3, 3, 3, 0, 2, 1, 2, 4, 3, 2, 3, 1, 3, 4, 2, 3, 3, 0, 2, 2, 0, 0, 1, 1, 1, 2, 3, 0, 4, 3, 4, 2, 2, 1, 3, 1, 0, 3, 3, 2, 3, 1, 0, 1, 1, 4, 1, 4, 2, 4, 1, 1, 0, 0, 2, 4, 2, 4, 3, 3, 0, 4, 1, 4, 1, 2, 3, 2, 1, 2, 3, 4, 2, 2, 3, 2, 2, 4, 3, 2, 0, 4, 4, 1, 3, 4, 2, 2, 1, 3, 3, 1, 4, 3, 3, 4, 3, 4, 3, 2, 0, 0, 2, 1, 3, 3, 2, 2, 2, 1, 0, 0, 0, 2, 0, 3, 3, 2, 0, 1, 4, 3, 4, 1, 0, 4, 0, 1, 0, 2, 0, 2, 4, 1, 0, 2, 1, 1, 4, 2, 3, 3, 4, 3, 3, 1, 4, 4, 2, 1, 4, 3, 0, 0, 4, 4, 3, 3, 0, 2, 2, 0, 0, 0, 2, 3, 2, 4, 2, 4, 1, 3, 1, 0, 1, 2, 1, 4, 4, 4, 4, 3, 0, 1, 2, 4, 0, 4, 3, 2, 3, 4, 0, 0, 3, 1, 3, 0, 1, 2, 1, 4, 3, 3, 1, 4, 2, 4, 0, 2, 4, 3, 2, 0, 4, 4, 2, 4, 0, 3, 3, 0, 1, 3, 3, 3, 1, 0, 3, 3, 0, 1, 4, 2, 0, 2, 1, 1, 1, 0, 3, 4, 4, 2, 0, 3, 0, 3, 3, 2, 1, 1, 3, 4, 2, 2, 1, 0, 1, 2, 4, 0, 0, 4, 4, 0, 4, 1] pubkeycol623 = [4, 4, 1, 4, 3, 0, 4, 2, 0, 2, 3, 4, 0, 2, 0, 4, 2, 3, 0, 0, 3, 0, 0, 0, 2, 0, 0, 4, 1, 4, 3, 1, 1, 1, 3, 0, 0, 1, 1, 4, 1, 0, 4, 1, 1, 4, 0, 3, 2, 4, 0, 4, 3, 3, 4, 3, 0, 2, 1, 3, 0, 0, 1, 3, 0, 3, 0, 3, 3, 3, 3, 3, 2, 0, 1, 2, 1, 3, 0, 0, 0, 4, 4, 1, 2, 4, 2, 4, 1, 3, 4, 1, 3, 2, 2, 4, 1, 2, 0, 4, 3, 1, 2, 1, 4, 0, 1, 1, 3, 4, 3, 0, 1, 1, 0, 3, 4, 2, 4, 3, 2, 3, 3, 0, 1, 3, 2, 2, 0, 3, 3, 1, 4, 1, 3, 4, 3, 3, 4, 0, 0, 2, 2, 0, 4, 2, 0, 1, 4, 1, 4, 4, 4, 4, 1, 0, 1, 3, 3, 0, 0, 3, 2, 1, 0, 0, 1, 4, 4, 2, 2, 1, 0, 1, 0, 3, 3, 4, 1, 2, 4, 0, 0, 0, 0, 4, 1, 4, 1, 4, 4, 1, 0, 1, 4, 2, 1, 4, 3, 0, 0, 3, 4, 0, 0, 0, 1, 4, 1, 1, 1, 0, 0, 1, 2, 4, 3, 4, 1, 2, 0, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 2, 4, 2, 0, 3, 4, 3, 0, 2, 4, 3, 1, 3, 4, 4, 3, 0, 0, 0, 4, 3, 0, 3, 1, 2, 1, 0, 1, 0, 0, 3, 2, 3, 4, 1, 0, 2, 3, 4, 2, 1, 2, 2, 3, 4, 2, 1, 3, 2, 3, 1, 3, 4, 3, 4, 2, 4, 1, 3, 4, 0, 0, 1, 3, 1, 3, 3, 0, 0, 2, 4, 0, 3, 2, 1, 0, 4, 3, 0, 3, 0, 1, 2, 1, 0, 0, 0, 2, 3, 0, 3, 0, 2, 1, 3, 0, 3, 3, 3, 1, 0, 0, 3, 1, 2, 2, 0, 2, 3, 1, 0, 4, 4, 3, 4, 3, 1, 0, 4, 0, 3, 1, 3, 3, 2, 4, 4, 3, 2, 1, 4, 3, 4, 0, 2, 0, 3, 3, 0, 1, 1, 4, 2, 0, 0, 1, 3, 1, 3, 2, 3, 1, 4, 2, 3, 4, 4, 1, 2, 2, 1, 1, 4, 3, 2, 2, 4, 1, 0, 2, 1, 3, 3, 3, 2, 4, 0, 2, 0, 3, 2, 2, 0, 0, 0, 1, 0, 2, 3, 2, 1, 3, 1, 4, 4, 1, 1, 3, 1, 4, 3, 1, 1, 3, 0, 2, 2, 1, 1, 4, 1, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 4, 4, 3, 3, 0, 2, 0, 0, 0, 2, 1, 4, 4, 2, 3, 1, 3, 0, 3, 0, 3, 1, 1, 4, 1, 0, 4] pubkeycol624 = [3, 4, 1, 4, 3, 4, 3, 0, 0, 1, 2, 3, 2, 1, 0, 2, 3, 2, 2, 3, 0, 1, 1, 0, 0, 0, 1, 3, 0, 2, 0, 3, 0, 0, 4, 1, 1, 1, 1, 0, 3, 1, 2, 1, 2, 3, 0, 4, 4, 2, 2, 0, 0, 1, 4, 3, 3, 3, 2, 0, 2, 4, 3, 3, 4, 1, 0, 0, 3, 1, 2, 1, 0, 2, 4, 4, 1, 0, 4, 4, 1, 3, 0, 2, 1, 4, 1, 2, 4, 0, 0, 0, 4, 3, 3, 3, 1, 4, 4, 1, 3, 0, 1, 0, 2, 3, 1, 0, 2, 1, 2, 4, 0, 2, 1, 1, 1, 0, 3, 4, 0, 3, 3, 1, 2, 3, 4, 0, 3, 2, 1, 1, 2, 0, 0, 4, 1, 0, 4, 0, 2, 3, 4, 2, 2, 3, 4, 3, 4, 1, 0, 2, 3, 3, 4, 4, 4, 2, 4, 3, 3, 0, 0, 1, 2, 3, 2, 2, 4, 1, 0, 2, 1, 1, 1, 2, 0, 4, 4, 4, 1, 2, 4, 1, 2, 1, 2, 3, 0, 0, 0, 0, 4, 0, 0, 3, 0, 3, 0, 0, 1, 0, 4, 0, 4, 2, 0, 0, 4, 4, 3, 2, 4, 4, 3, 3, 3, 4, 3, 3, 2, 1, 0, 0, 2, 1, 3, 4, 4, 3, 4, 3, 0, 2, 1, 4, 2, 0, 2, 2, 0, 2, 0, 2, 1, 4, 4, 2, 0, 0, 4, 2, 1, 2, 4, 4, 2, 1, 0, 4, 4, 0, 1, 0, 0, 1, 3, 2, 4, 2, 3, 3, 2, 0, 4, 1, 1, 1, 3, 1, 4, 4, 2, 0, 3, 1, 2, 1, 2, 3, 2, 2, 1, 2, 4, 3, 1, 1, 2, 4, 4, 0, 3, 0, 2, 1, 0, 0, 1, 0, 1, 4, 1, 0, 3, 2, 4, 2, 2, 0, 1, 1, 4, 1, 2, 0, 4, 1, 2, 0, 0, 4, 1, 2, 0, 0, 1, 1, 0, 3, 4, 1, 2, 1, 4, 1, 2, 0, 1, 4, 0, 2, 1, 4, 2, 0, 2, 0, 0, 0, 4, 1, 0, 3, 0, 3, 4, 4, 4, 4, 0, 0, 1, 0, 4, 4, 2, 1, 0, 3, 1, 2, 4, 3, 4, 3, 1, 0, 2, 4, 3, 0, 3, 2, 2, 2, 4, 1, 0, 3, 0, 1, 4, 3, 4, 0, 3, 2, 0, 1, 3, 2, 1, 2, 4, 3, 0, 0, 3, 1, 1, 3, 2, 2, 4, 1, 4, 1, 4, 3, 3, 3, 1, 3, 1, 4, 2, 1, 2, 4, 4, 2, 2, 1, 1, 4, 2, 4, 4, 0, 2, 1, 3, 1, 1, 3, 0, 1, 0, 1, 3, 0, 1, 4, 3, 2, 1, 2, 2, 4, 2, 4, 4, 0, 0, 3, 0, 4, 1, 3] pubkeycol625 = [1, 2, 0, 1, 2, 2, 1, 4, 3, 2, 0, 2, 0, 0, 1, 0, 4, 1, 4, 4, 1, 1, 4, 2, 1, 3, 0, 4, 2, 1, 1, 1, 4, 3, 1, 1, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 3, 4, 1, 4, 1, 4, 2, 2, 1, 0, 3, 1, 2, 1, 3, 2, 2, 4, 3, 3, 4, 0, 2, 4, 0, 3, 1, 3, 3, 3, 2, 0, 0, 2, 2, 0, 1, 3, 2, 0, 1, 0, 0, 2, 3, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 4, 0, 3, 1, 1, 3, 1, 1, 4, 2, 3, 0, 0, 2, 1, 3, 1, 2, 4, 4, 3, 1, 3, 1, 2, 1, 4, 4, 3, 3, 0, 2, 3, 1, 4, 4, 1, 3, 3, 1, 1, 0, 2, 4, 2, 1, 0, 2, 0, 0, 4, 4, 1, 0, 1, 3, 2, 2, 0, 2, 0, 3, 0, 4, 1, 2, 4, 3, 1, 3, 1, 0, 4, 3, 0, 0, 3, 2, 4, 2, 3, 0, 3, 0, 1, 3, 3, 1, 3, 0, 1, 3, 0, 1, 2, 2, 4, 0, 1, 4, 3, 1, 2, 4, 0, 3, 2, 3, 3, 4, 3, 3, 3, 3, 2, 4, 3, 2, 4, 3, 1, 1, 4, 0, 0, 4, 4, 2, 3, 3, 0, 2, 4, 3, 4, 4, 1, 4, 3, 0, 0, 0, 2, 4, 3, 3, 0, 3, 1, 0, 0, 1, 3, 2, 4, 0, 1, 2, 4, 4, 2, 0, 0, 4, 1, 3, 4, 4, 3, 0, 1, 3, 0, 1, 4, 2, 1, 3, 1, 4, 0, 3, 1, 4, 4, 1, 2, 4, 2, 4, 4, 1, 3, 1, 4, 3, 3, 4, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 4, 3, 1, 3, 1, 4, 2, 4, 0, 2, 3, 0, 2, 1, 2, 3, 3, 3, 0, 1, 1, 4, 4, 3, 0, 0, 3, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 4, 3, 3, 1, 3, 4, 1, 2, 0, 1, 1, 4, 1, 4, 1, 1, 3, 2, 0, 2, 0, 0, 4, 2, 4, 4, 1, 4, 2, 4, 0, 1, 1, 4, 0, 3, 1, 0, 2, 1, 2, 2, 1, 1, 1, 4, 3, 0, 4, 0, 1, 2, 1, 4, 0, 1, 0, 3, 2, 1, 4, 1, 4, 1, 0, 1, 2, 2, 2, 3, 3, 1, 0, 4, 2, 2, 3, 0, 3, 2, 1, 3, 3, 4, 2, 4, 1, 3, 0, 4, 4, 2, 4, 4, 0, 2, 1, 2, 2, 1, 4, 2, 4, 1, 2, 0, 4, 0, 4, 0, 1, 4, 1, 1, 2, 3, 2, 0, 0, 3, 3, 4, 1, 4, 3, 3, 3, 3] pubkeycol626 = [3, 0, 3, 2, 2, 3, 3, 4, 4, 4, 3, 2, 4, 3, 3, 0, 1, 0, 3, 0, 2, 0, 1, 4, 4, 4, 0, 1, 3, 3, 3, 1, 4, 1, 3, 0, 2, 0, 4, 1, 1, 2, 2, 2, 4, 2, 3, 1, 1, 3, 2, 4, 0, 3, 4, 2, 4, 1, 2, 4, 2, 1, 4, 2, 0, 2, 4, 1, 3, 4, 1, 4, 1, 2, 2, 2, 2, 3, 2, 1, 3, 0, 0, 0, 2, 3, 4, 1, 2, 2, 2, 0, 4, 0, 0, 2, 4, 0, 2, 2, 4, 1, 3, 4, 1, 0, 4, 2, 1, 3, 0, 3, 4, 0, 3, 2, 3, 1, 1, 1, 1, 3, 4, 3, 0, 3, 3, 0, 3, 0, 4, 3, 3, 0, 3, 1, 3, 2, 0, 2, 0, 1, 1, 4, 3, 0, 2, 1, 2, 0, 0, 4, 3, 0, 3, 4, 0, 0, 4, 3, 4, 4, 3, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 3, 3, 3, 1, 4, 2, 1, 2, 2, 1, 0, 1, 2, 2, 3, 3, 4, 3, 4, 4, 4, 1, 0, 3, 0, 3, 0, 3, 1, 3, 0, 3, 1, 2, 0, 0, 2, 3, 2, 4, 2, 3, 2, 2, 4, 4, 1, 2, 1, 3, 0, 1, 4, 0, 1, 0, 1, 4, 3, 4, 3, 1, 3, 2, 4, 2, 2, 2, 3, 1, 0, 4, 3, 4, 0, 3, 3, 0, 0, 1, 0, 2, 4, 3, 1, 2, 4, 0, 2, 3, 1, 1, 3, 4, 1, 0, 0, 4, 4, 3, 4, 0, 2, 2, 2, 0, 3, 2, 1, 1, 4, 0, 3, 1, 3, 1, 3, 0, 1, 1, 1, 4, 0, 2, 3, 2, 2, 4, 4, 3, 2, 1, 3, 1, 4, 2, 0, 1, 2, 0, 1, 1, 3, 1, 0, 3, 3, 2, 2, 0, 0, 2, 1, 3, 0, 1, 0, 1, 4, 2, 1, 0, 3, 1, 0, 0, 3, 3, 2, 1, 2, 2, 3, 2, 4, 2, 0, 0, 1, 4, 3, 0, 0, 0, 0, 1, 2, 3, 1, 1, 2, 1, 2, 3, 2, 2, 3, 1, 4, 3, 1, 3, 2, 4, 2, 0, 0, 0, 3, 4, 1, 3, 0, 4, 2, 0, 2, 1, 2, 4, 3, 0, 4, 1, 3, 0, 2, 2, 0, 2, 0, 0, 0, 3, 3, 3, 1, 2, 2, 3, 2, 2, 0, 2, 3, 3, 0, 3, 0, 2, 1, 2, 0, 3, 0, 1, 4, 0, 1, 1, 4, 0, 4, 4, 2, 1, 3, 0, 3, 3, 0, 4, 3, 2, 3, 4, 4, 2, 0, 1, 4, 4, 2, 0, 1, 4, 4, 3, 4, 4, 3, 1, 4, 3, 4, 3, 1, 2, 3, 1, 4, 4, 3, 0, 4, 4] pubkeycol627 = [3, 2, 2, 2, 0, 3, 2, 3, 3, 2, 0, 4, 2, 3, 0, 1, 0, 0, 4, 3, 2, 2, 1, 4, 3, 3, 1, 0, 1, 0, 2, 3, 2, 4, 3, 0, 0, 3, 0, 2, 0, 3, 0, 4, 1, 0, 4, 1, 0, 4, 2, 1, 3, 1, 3, 0, 3, 4, 3, 0, 3, 3, 2, 2, 2, 3, 4, 2, 0, 2, 1, 2, 0, 0, 2, 1, 3, 4, 3, 4, 3, 3, 0, 4, 4, 1, 3, 2, 3, 2, 3, 4, 0, 3, 4, 0, 0, 1, 4, 3, 4, 3, 4, 2, 4, 1, 3, 2, 3, 3, 0, 1, 3, 4, 3, 0, 2, 1, 0, 4, 0, 3, 2, 3, 2, 0, 1, 4, 3, 0, 3, 1, 3, 4, 3, 4, 4, 2, 2, 1, 3, 1, 3, 1, 1, 0, 0, 3, 3, 4, 3, 4, 2, 2, 4, 1, 1, 3, 3, 0, 4, 3, 0, 1, 3, 4, 2, 0, 3, 1, 3, 4, 4, 3, 1, 0, 1, 1, 3, 0, 4, 3, 1, 3, 1, 0, 2, 3, 2, 2, 1, 0, 0, 4, 2, 4, 4, 2, 1, 3, 2, 2, 2, 0, 0, 4, 4, 3, 4, 1, 2, 3, 3, 0, 2, 1, 0, 1, 2, 0, 4, 0, 4, 4, 1, 4, 0, 1, 4, 4, 2, 2, 1, 2, 1, 1, 2, 3, 3, 4, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 4, 2, 3, 2, 1, 3, 1, 0, 0, 3, 0, 0, 0, 0, 2, 3, 0, 2, 2, 3, 3, 2, 4, 4, 3, 1, 2, 4, 3, 2, 2, 4, 1, 2, 2, 3, 4, 1, 3, 0, 4, 1, 0, 1, 0, 3, 1, 1, 4, 0, 3, 3, 3, 3, 4, 0, 4, 0, 3, 3, 1, 4, 1, 2, 1, 3, 3, 2, 0, 4, 4, 2, 4, 4, 0, 3, 3, 4, 3, 0, 0, 2, 1, 2, 3, 0, 2, 4, 0, 1, 4, 1, 1, 2, 0, 2, 0, 1, 0, 3, 3, 2, 0, 4, 4, 3, 4, 2, 1, 3, 3, 1, 4, 3, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 4, 2, 2, 3, 1, 3, 1, 1, 2, 2, 2, 0, 2, 3, 3, 4, 3, 0, 1, 0, 0, 0, 2, 3, 2, 4, 1, 4, 3, 0, 1, 1, 0, 3, 0, 3, 1, 0, 1, 2, 0, 0, 2, 2, 3, 0, 3, 3, 4, 1, 2, 4, 4, 2, 0, 3, 2, 0, 1, 0, 3, 4, 1, 0, 2, 3, 4, 2, 3, 2, 2, 0, 2, 0, 4, 4, 3, 3, 1, 0, 4, 0, 4, 2, 0, 2, 4, 2, 0, 1, 4, 0, 2, 4, 1, 4, 4, 4, 2, 2] pubkeycol628 = [2, 1, 0, 1, 4, 4, 4, 4, 0, 2, 0, 4, 1, 2, 0, 0, 1, 3, 0, 2, 3, 1, 1, 4, 0, 2, 4, 3, 2, 1, 0, 0, 1, 0, 1, 1, 1, 4, 3, 0, 2, 3, 4, 2, 2, 4, 4, 4, 3, 1, 1, 3, 3, 4, 0, 3, 0, 1, 2, 4, 1, 4, 0, 2, 0, 3, 1, 0, 0, 3, 1, 0, 1, 0, 2, 1, 3, 0, 0, 4, 4, 4, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 4, 2, 2, 4, 4, 3, 4, 1, 3, 4, 1, 2, 2, 0, 4, 0, 3, 0, 4, 3, 1, 0, 4, 1, 3, 4, 1, 1, 1, 0, 1, 4, 1, 0, 1, 4, 4, 3, 1, 0, 3, 2, 0, 4, 4, 0, 2, 1, 4, 0, 4, 4, 3, 0, 4, 0, 3, 2, 3, 4, 4, 0, 2, 3, 1, 4, 3, 2, 0, 2, 1, 4, 1, 1, 1, 4, 0, 2, 2, 2, 0, 2, 1, 4, 2, 3, 3, 2, 0, 0, 0, 3, 0, 0, 3, 2, 4, 2, 3, 0, 0, 3, 1, 4, 0, 1, 0, 2, 0, 1, 4, 3, 0, 0, 2, 4, 2, 3, 4, 2, 1, 1, 4, 3, 1, 0, 0, 4, 2, 1, 0, 4, 0, 1, 3, 2, 3, 2, 2, 0, 0, 2, 1, 4, 2, 0, 3, 2, 3, 1, 2, 0, 4, 0, 2, 2, 3, 1, 1, 4, 3, 3, 3, 2, 0, 2, 1, 4, 3, 3, 4, 2, 4, 4, 1, 3, 3, 2, 2, 3, 2, 1, 4, 4, 3, 3, 0, 1, 1, 2, 0, 2, 3, 1, 4, 4, 3, 4, 1, 0, 4, 1, 1, 3, 4, 3, 0, 3, 2, 3, 2, 3, 3, 2, 1, 2, 4, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 3, 2, 0, 2, 2, 1, 4, 1, 0, 1, 1, 3, 3, 3, 3, 0, 1, 2, 4, 3, 1, 4, 0, 0, 1, 3, 2, 2, 1, 1, 1, 4, 1, 1, 4, 2, 4, 4, 2, 3, 1, 0, 3, 1, 3, 2, 4, 1, 1, 2, 2, 0, 0, 3, 4, 4, 3, 3, 2, 0, 1, 1, 4, 3, 2, 4, 1, 4, 1, 3, 1, 0, 3, 1, 1, 4, 0, 1, 3, 4, 0, 0, 3, 1, 1, 4, 3, 0, 0, 4, 3, 1, 0, 4, 3, 1, 0, 3, 2, 1, 0, 2, 2, 3, 4, 1, 2, 2, 3, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 4, 2, 3, 3, 3, 4, 0, 1, 1, 3, 3, 3, 3, 0, 1, 2, 3, 1, 3, 4, 0, 3, 0, 3, 1, 3, 3, 0, 4, 0, 1, 2, 4, 3, 2, 1, 4, 2] pubkeycol629 = [1, 3, 0, 3, 2, 3, 2, 1, 4, 0, 3, 4, 3, 0, 3, 2, 0, 1, 3, 4, 0, 2, 0, 1, 1, 2, 4, 4, 0, 3, 3, 1, 4, 3, 2, 0, 3, 1, 3, 0, 0, 4, 4, 3, 1, 0, 0, 2, 0, 0, 4, 0, 1, 4, 0, 3, 2, 2, 0, 4, 2, 0, 3, 4, 2, 2, 4, 1, 2, 4, 0, 0, 1, 2, 3, 3, 4, 4, 4, 0, 0, 1, 2, 4, 0, 4, 1, 2, 0, 0, 2, 4, 2, 2, 1, 2, 2, 4, 4, 0, 0, 3, 3, 3, 4, 4, 4, 3, 4, 1, 1, 0, 4, 2, 3, 3, 2, 3, 2, 2, 1, 2, 0, 3, 2, 2, 0, 0, 0, 1, 0, 1, 4, 4, 1, 0, 4, 1, 2, 4, 1, 0, 3, 3, 3, 2, 3, 1, 2, 3, 3, 4, 2, 1, 0, 4, 1, 4, 1, 2, 1, 4, 2, 1, 0, 2, 3, 3, 1, 1, 2, 0, 4, 4, 0, 2, 0, 0, 0, 4, 2, 3, 4, 4, 4, 2, 2, 0, 1, 1, 1, 1, 2, 0, 4, 3, 2, 2, 1, 0, 3, 0, 3, 4, 3, 3, 2, 1, 0, 0, 1, 2, 3, 0, 3, 3, 3, 1, 1, 0, 3, 3, 1, 4, 0, 3, 3, 3, 4, 4, 3, 2, 3, 3, 4, 3, 2, 3, 2, 3, 4, 2, 0, 4, 3, 0, 0, 1, 3, 3, 4, 3, 3, 0, 3, 1, 3, 1, 1, 4, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 3, 2, 0, 0, 2, 0, 2, 0, 4, 3, 2, 4, 2, 0, 3, 1, 2, 2, 3, 1, 4, 1, 3, 0, 4, 4, 3, 1, 0, 4, 3, 2, 1, 4, 3, 0, 4, 1, 2, 1, 3, 3, 0, 4, 3, 1, 3, 1, 4, 4, 1, 3, 3, 0, 2, 3, 2, 0, 4, 0, 3, 3, 1, 3, 0, 1, 1, 4, 4, 0, 3, 4, 2, 1, 4, 0, 1, 1, 0, 1, 3, 3, 0, 3, 2, 3, 0, 1, 4, 2, 4, 4, 1, 0, 1, 1, 0, 2, 0, 1, 2, 3, 1, 0, 2, 3, 4, 4, 4, 3, 2, 0, 4, 1, 0, 2, 3, 3, 2, 3, 4, 0, 0, 3, 3, 1, 3, 1, 2, 0, 2, 4, 3, 0, 2, 1, 1, 3, 4, 3, 1, 1, 4, 3, 4, 1, 3, 0, 3, 2, 4, 2, 2, 2, 1, 4, 4, 1, 2, 3, 2, 2, 4, 4, 2, 0, 1, 4, 1, 3, 1, 2, 0, 4, 4, 0, 1, 4, 1, 1, 0, 3, 1, 2, 4, 2, 3, 2, 2, 0, 2, 2, 1, 0, 3, 0, 2, 0, 2, 1, 0, 2, 4, 1, 2, 0] pubkeycol630 = [4, 2, 4, 4, 1, 4, 3, 1, 3, 4, 3, 1, 1, 2, 0, 1, 1, 2, 4, 2, 4, 3, 4, 2, 0, 1, 4, 0, 0, 0, 0, 0, 1, 3, 1, 2, 0, 3, 3, 1, 4, 4, 2, 1, 2, 3, 1, 1, 1, 4, 0, 0, 2, 0, 4, 3, 1, 1, 3, 4, 1, 0, 1, 0, 4, 3, 2, 4, 3, 4, 1, 2, 0, 1, 2, 4, 2, 2, 1, 1, 4, 1, 3, 2, 3, 4, 4, 4, 2, 4, 3, 0, 2, 3, 3, 0, 4, 3, 1, 2, 0, 4, 4, 4, 4, 0, 3, 2, 0, 1, 4, 1, 1, 0, 3, 1, 4, 0, 3, 4, 2, 4, 3, 4, 2, 3, 4, 4, 4, 1, 1, 4, 0, 4, 2, 2, 2, 4, 4, 1, 4, 4, 0, 4, 3, 0, 0, 3, 0, 3, 2, 4, 1, 0, 0, 4, 3, 3, 0, 2, 3, 0, 2, 0, 4, 3, 2, 3, 2, 0, 1, 4, 3, 1, 1, 0, 4, 1, 3, 4, 1, 3, 0, 0, 4, 1, 1, 1, 1, 4, 2, 3, 1, 1, 2, 0, 2, 3, 2, 3, 1, 3, 0, 1, 4, 4, 4, 2, 4, 3, 1, 2, 2, 1, 0, 1, 2, 3, 0, 1, 2, 4, 4, 4, 0, 4, 3, 2, 3, 2, 3, 0, 4, 0, 4, 1, 2, 1, 3, 2, 2, 4, 0, 4, 0, 0, 3, 3, 3, 4, 4, 0, 3, 3, 2, 1, 3, 1, 3, 2, 4, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 4, 2, 2, 4, 4, 1, 4, 0, 1, 0, 1, 3, 0, 0, 2, 3, 2, 1, 2, 4, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 0, 4, 4, 0, 2, 2, 2, 1, 4, 1, 1, 2, 4, 2, 2, 3, 1, 4, 4, 1, 4, 2, 0, 3, 0, 4, 3, 2, 1, 0, 3, 1, 0, 2, 1, 0, 2, 4, 1, 3, 0, 0, 3, 4, 1, 4, 2, 1, 3, 1, 3, 0, 1, 2, 3, 2, 3, 3, 1, 1, 0, 0, 4, 1, 4, 1, 4, 3, 2, 3, 3, 2, 2, 4, 2, 2, 1, 1, 0, 2, 1, 4, 1, 2, 3, 3, 3, 2, 3, 3, 0, 4, 1, 1, 1, 2, 0, 1, 1, 3, 2, 3, 0, 2, 4, 3, 3, 1, 3, 2, 1, 3, 1, 0, 3, 0, 0, 3, 3, 3, 2, 3, 4, 0, 0, 0, 2, 1, 3, 0, 1, 0, 2, 3, 4, 0, 3, 2, 1, 0, 1, 1, 0, 4, 2, 2, 0, 4, 2, 1, 3, 2, 0, 2, 0, 2, 0, 3, 1, 0, 3, 2, 1, 4, 3, 4, 0, 3, 1, 0, 3, 1, 2, 0, 0, 0, 3] pubkeycol631 = [0, 2, 1, 1, 2, 2, 2, 0, 4, 2, 4, 1, 4, 4, 3, 2, 2, 4, 1, 2, 1, 2, 3, 2, 3, 0, 4, 3, 2, 1, 0, 2, 1, 2, 3, 1, 2, 4, 2, 2, 1, 3, 4, 2, 4, 3, 1, 1, 0, 1, 0, 1, 4, 1, 4, 1, 0, 3, 1, 0, 0, 1, 1, 1, 2, 3, 0, 3, 1, 1, 4, 3, 4, 3, 2, 1, 1, 2, 3, 2, 4, 3, 0, 4, 0, 0, 4, 2, 1, 4, 0, 0, 4, 0, 0, 2, 1, 4, 2, 3, 4, 1, 0, 2, 3, 0, 0, 3, 3, 4, 4, 4, 2, 3, 2, 1, 1, 0, 1, 3, 1, 4, 3, 4, 0, 2, 1, 2, 0, 2, 2, 4, 3, 4, 4, 4, 3, 2, 0, 1, 4, 3, 0, 1, 3, 4, 2, 3, 2, 3, 4, 1, 2, 1, 2, 1, 1, 2, 0, 4, 4, 2, 4, 2, 1, 1, 2, 2, 2, 4, 1, 0, 3, 3, 2, 1, 2, 2, 2, 2, 0, 4, 1, 4, 3, 1, 1, 0, 2, 3, 3, 4, 4, 4, 4, 2, 0, 2, 1, 0, 1, 4, 2, 3, 0, 0, 2, 1, 3, 1, 1, 1, 1, 0, 0, 2, 3, 4, 3, 3, 2, 3, 1, 0, 3, 3, 4, 1, 0, 3, 2, 4, 4, 3, 3, 2, 4, 1, 4, 0, 4, 1, 4, 3, 2, 1, 1, 3, 0, 2, 3, 3, 2, 3, 3, 3, 0, 3, 2, 1, 2, 3, 4, 1, 3, 1, 0, 1, 1, 2, 4, 2, 3, 1, 2, 2, 1, 2, 3, 4, 2, 3, 3, 3, 2, 4, 0, 1, 3, 4, 2, 0, 4, 3, 3, 2, 1, 3, 4, 3, 4, 3, 3, 1, 3, 4, 2, 4, 1, 0, 0, 3, 4, 4, 0, 1, 1, 4, 4, 2, 1, 1, 2, 2, 1, 2, 4, 3, 2, 4, 0, 2, 1, 0, 4, 2, 3, 2, 2, 4, 3, 2, 1, 2, 1, 1, 3, 3, 0, 4, 1, 1, 1, 1, 1, 4, 0, 3, 1, 3, 2, 2, 2, 3, 4, 4, 1, 1, 4, 1, 4, 0, 3, 3, 1, 1, 4, 3, 2, 4, 4, 3, 3, 2, 0, 0, 1, 0, 1, 2, 4, 3, 4, 1, 4, 0, 2, 2, 2, 1, 2, 2, 1, 0, 3, 3, 0, 3, 1, 3, 4, 3, 0, 1, 4, 0, 1, 1, 1, 1, 2, 2, 1, 3, 0, 4, 3, 2, 4, 3, 4, 1, 4, 0, 1, 1, 2, 1, 2, 2, 0, 3, 2, 1, 4, 4, 0, 3, 2, 4, 3, 3, 4, 0, 4, 1, 0, 4, 0, 2, 3, 1, 1, 0, 1, 3, 2, 3, 1, 3, 4, 4, 0, 2, 4, 4, 0, 3, 1, 4] pubkeycol632 = [2, 1, 2, 1, 4, 4, 0, 0, 4, 2, 4, 0, 4, 0, 3, 3, 2, 1, 0, 4, 1, 2, 1, 4, 0, 3, 1, 4, 3, 1, 0, 1, 0, 3, 1, 2, 4, 4, 2, 1, 4, 1, 3, 2, 4, 3, 2, 2, 4, 0, 1, 0, 0, 2, 0, 3, 0, 0, 0, 0, 1, 4, 2, 4, 1, 4, 1, 0, 2, 2, 1, 3, 1, 0, 3, 0, 0, 3, 3, 0, 1, 4, 1, 1, 3, 2, 2, 1, 1, 1, 4, 0, 3, 0, 4, 2, 3, 1, 1, 3, 4, 4, 4, 4, 1, 3, 4, 4, 4, 0, 0, 4, 3, 3, 0, 1, 4, 0, 4, 1, 1, 3, 4, 4, 2, 2, 3, 4, 2, 0, 1, 1, 1, 4, 0, 4, 4, 1, 3, 0, 3, 3, 3, 0, 2, 4, 4, 4, 4, 1, 1, 0, 4, 3, 1, 3, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 4, 2, 2, 3, 0, 4, 4, 0, 4, 4, 3, 4, 0, 0, 2, 0, 2, 2, 4, 2, 0, 3, 1, 3, 4, 3, 0, 1, 1, 1, 3, 3, 0, 0, 4, 0, 3, 3, 0, 3, 0, 2, 1, 3, 3, 0, 2, 1, 3, 2, 1, 0, 1, 0, 4, 3, 2, 2, 1, 0, 1, 1, 4, 1, 2, 4, 0, 3, 0, 3, 4, 0, 3, 4, 0, 3, 0, 0, 2, 4, 2, 2, 0, 4, 3, 2, 1, 0, 4, 0, 4, 0, 2, 0, 4, 1, 0, 4, 0, 4, 2, 2, 0, 3, 4, 1, 4, 1, 1, 3, 0, 3, 3, 1, 2, 1, 0, 2, 4, 3, 2, 1, 3, 3, 4, 4, 0, 3, 2, 3, 4, 2, 0, 1, 3, 2, 0, 4, 2, 3, 3, 2, 0, 1, 1, 2, 3, 3, 2, 3, 1, 3, 0, 4, 1, 3, 4, 0, 0, 2, 4, 3, 1, 3, 0, 4, 4, 3, 1, 3, 2, 1, 2, 2, 4, 1, 2, 4, 2, 0, 2, 4, 2, 4, 3, 0, 4, 1, 3, 4, 4, 0, 2, 4, 1, 0, 0, 3, 2, 4, 4, 0, 2, 1, 2, 3, 1, 4, 3, 0, 2, 1, 1, 1, 4, 0, 4, 1, 0, 2, 3, 3, 3, 1, 2, 4, 0, 2, 0, 1, 3, 0, 1, 3, 2, 2, 3, 4, 0, 1, 4, 2, 0, 3, 2, 1, 4, 2, 0, 1, 3, 3, 4, 2, 2, 3, 2, 4, 1, 1, 4, 1, 1, 1, 0, 3, 0, 0, 4, 2, 4, 3, 0, 4, 0, 0, 2, 4, 3, 2, 0, 0, 2, 1, 0, 4, 2, 4, 1, 4, 1, 0, 2, 4, 4, 4, 2, 3, 4, 1, 2, 2, 0, 0, 2, 4, 4, 1, 2, 4, 0, 4] pubkeycol633 = [1, 4, 4, 1, 2, 2, 1, 4, 1, 2, 0, 1, 1, 3, 1, 1, 4, 3, 1, 3, 2, 2, 2, 3, 1, 2, 3, 1, 3, 0, 3, 0, 0, 1, 3, 2, 0, 1, 2, 2, 0, 4, 4, 1, 0, 2, 2, 0, 3, 1, 4, 2, 3, 3, 1, 2, 4, 1, 4, 4, 4, 3, 0, 0, 3, 3, 1, 0, 1, 3, 3, 1, 4, 1, 1, 4, 2, 0, 4, 1, 3, 0, 3, 3, 0, 1, 1, 1, 2, 4, 3, 0, 3, 4, 1, 1, 2, 4, 1, 4, 1, 4, 2, 0, 3, 1, 0, 3, 1, 4, 0, 1, 3, 0, 2, 3, 4, 3, 1, 1, 1, 0, 4, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 3, 4, 4, 0, 2, 1, 2, 2, 0, 0, 3, 1, 1, 2, 2, 2, 4, 3, 2, 1, 3, 4, 3, 4, 1, 3, 1, 2, 0, 0, 2, 3, 0, 1, 1, 4, 4, 0, 1, 4, 4, 3, 4, 2, 2, 1, 0, 4, 3, 2, 2, 2, 4, 0, 2, 3, 2, 4, 3, 4, 1, 0, 3, 3, 2, 3, 0, 4, 0, 3, 0, 4, 0, 2, 2, 1, 2, 4, 4, 3, 4, 4, 4, 0, 3, 2, 3, 4, 0, 1, 1, 4, 3, 2, 3, 4, 0, 2, 2, 2, 4, 4, 0, 2, 0, 4, 4, 2, 4, 2, 3, 0, 1, 1, 0, 4, 0, 1, 0, 4, 1, 1, 3, 0, 2, 4, 2, 0, 3, 2, 4, 0, 1, 3, 3, 2, 1, 1, 1, 4, 0, 3, 0, 4, 3, 3, 3, 0, 0, 3, 3, 4, 1, 3, 2, 3, 3, 2, 1, 2, 4, 0, 3, 4, 1, 3, 3, 0, 3, 1, 4, 3, 4, 3, 2, 1, 0, 2, 2, 2, 2, 4, 2, 0, 3, 3, 2, 3, 0, 2, 4, 1, 0, 2, 2, 1, 4, 0, 0, 4, 1, 1, 0, 4, 3, 2, 3, 1, 0, 0, 1, 4, 0, 3, 1, 0, 0, 3, 4, 0, 0, 3, 1, 2, 3, 4, 2, 1, 0, 3, 3, 3, 1, 0, 2, 0, 0, 2, 4, 1, 2, 4, 3, 4, 3, 0, 1, 1, 3, 1, 2, 4, 2, 2, 4, 3, 4, 0, 0, 4, 2, 2, 0, 3, 1, 3, 4, 0, 4, 4, 3, 1, 3, 3, 0, 2, 3, 1, 3, 4, 4, 0, 1, 4, 0, 3, 4, 2, 3, 1, 2, 0, 1, 3, 1, 2, 1, 0, 2, 1, 0, 1, 0, 4, 0, 3, 1, 0, 3, 3, 2, 0, 0, 3, 2, 1, 0, 0, 1, 1, 1, 4, 2, 1, 2, 3, 2, 0, 3, 2, 1, 0, 2, 0, 1, 0, 4, 0, 0, 1, 0, 2, 3, 4, 3, 4, 4] pubkeycol634 = [4, 0, 3, 0, 2, 2, 3, 3, 0, 4, 2, 4, 4, 1, 1, 0, 4, 3, 1, 0, 3, 0, 0, 3, 2, 3, 1, 3, 3, 1, 0, 1, 4, 0, 2, 0, 0, 4, 3, 0, 3, 1, 3, 3, 4, 4, 3, 1, 1, 3, 2, 0, 4, 4, 2, 1, 3, 4, 4, 0, 2, 1, 0, 3, 0, 1, 0, 0, 3, 1, 4, 4, 2, 3, 0, 1, 0, 4, 3, 1, 4, 3, 2, 4, 2, 0, 2, 1, 3, 0, 1, 2, 4, 4, 0, 4, 0, 0, 3, 3, 1, 3, 3, 0, 4, 3, 0, 0, 2, 1, 2, 1, 3, 1, 0, 4, 0, 2, 2, 4, 3, 2, 0, 1, 2, 1, 1, 1, 4, 0, 1, 0, 4, 3, 0, 0, 1, 1, 2, 0, 3, 1, 1, 3, 0, 1, 4, 4, 1, 1, 2, 3, 2, 1, 1, 1, 1, 3, 1, 1, 3, 3, 4, 2, 4, 3, 3, 3, 3, 1, 4, 4, 4, 1, 1, 3, 1, 1, 1, 4, 0, 1, 3, 4, 3, 4, 3, 4, 2, 2, 0, 3, 4, 3, 4, 3, 3, 2, 2, 2, 3, 4, 1, 3, 1, 0, 0, 2, 2, 0, 0, 3, 3, 2, 0, 1, 1, 4, 4, 3, 2, 4, 4, 2, 2, 2, 2, 3, 4, 4, 0, 4, 0, 1, 3, 4, 2, 0, 2, 4, 3, 2, 0, 1, 3, 3, 0, 0, 3, 3, 4, 4, 1, 3, 0, 0, 2, 0, 4, 4, 3, 4, 3, 0, 4, 4, 3, 2, 0, 4, 0, 2, 2, 3, 0, 0, 2, 1, 3, 0, 2, 1, 2, 3, 4, 3, 3, 1, 0, 4, 0, 1, 2, 2, 4, 3, 0, 2, 1, 4, 2, 0, 3, 2, 0, 0, 4, 0, 1, 2, 1, 1, 4, 2, 0, 1, 1, 3, 3, 3, 0, 3, 3, 1, 4, 1, 4, 2, 4, 0, 4, 3, 4, 2, 1, 3, 1, 2, 3, 3, 0, 4, 3, 1, 1, 4, 4, 4, 0, 1, 4, 2, 2, 4, 4, 2, 3, 1, 2, 0, 0, 3, 1, 1, 3, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 4, 1, 3, 0, 1, 4, 0, 3, 1, 2, 3, 2, 2, 0, 0, 3, 4, 3, 4, 0, 1, 4, 1, 3, 3, 2, 4, 3, 2, 1, 4, 4, 0, 1, 2, 2, 3, 4, 2, 0, 4, 2, 0, 1, 3, 1, 2, 1, 3, 1, 1, 3, 4, 0, 1, 4, 1, 3, 0, 4, 2, 1, 3, 0, 0, 3, 0, 3, 4, 3, 2, 2, 3, 3, 3, 1, 1, 2, 1, 0, 4, 0, 1, 2, 0, 3, 2, 0, 4, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 3, 1, 4, 3, 3, 4] pubkeycol635 = [2, 0, 0, 1, 0, 4, 2, 2, 1, 3, 3, 4, 4, 1, 3, 2, 3, 2, 0, 4, 4, 1, 3, 1, 4, 2, 0, 1, 4, 0, 1, 4, 1, 3, 0, 4, 0, 3, 2, 2, 3, 4, 0, 3, 4, 2, 2, 0, 3, 0, 4, 2, 1, 3, 2, 2, 3, 0, 4, 2, 1, 3, 0, 1, 3, 0, 3, 0, 2, 3, 3, 2, 3, 0, 0, 2, 4, 2, 1, 2, 1, 3, 1, 0, 1, 4, 3, 1, 3, 2, 1, 3, 4, 1, 2, 3, 3, 4, 4, 2, 0, 4, 3, 1, 0, 1, 0, 2, 3, 3, 2, 4, 4, 4, 1, 2, 3, 0, 1, 1, 4, 3, 4, 0, 3, 4, 3, 2, 2, 1, 0, 3, 0, 0, 1, 0, 2, 4, 1, 3, 2, 0, 2, 0, 0, 2, 3, 1, 3, 0, 1, 4, 1, 4, 2, 0, 4, 0, 2, 3, 1, 0, 1, 4, 0, 3, 0, 2, 4, 2, 3, 0, 3, 4, 1, 2, 1, 1, 2, 4, 1, 2, 4, 1, 4, 2, 0, 3, 2, 2, 3, 0, 4, 2, 1, 0, 4, 2, 0, 3, 3, 3, 0, 2, 2, 4, 3, 2, 4, 1, 1, 4, 1, 1, 0, 4, 4, 2, 4, 4, 1, 2, 0, 4, 0, 3, 0, 3, 1, 4, 3, 3, 1, 3, 3, 1, 3, 0, 0, 2, 3, 3, 4, 3, 2, 3, 4, 3, 1, 4, 0, 0, 0, 0, 4, 0, 2, 3, 0, 4, 2, 0, 0, 4, 2, 4, 2, 1, 3, 1, 4, 4, 3, 2, 0, 3, 1, 4, 1, 2, 2, 4, 0, 1, 2, 0, 3, 0, 4, 1, 3, 0, 4, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 4, 3, 2, 0, 3, 1, 0, 4, 4, 2, 2, 4, 0, 2, 0, 0, 1, 2, 1, 3, 4, 0, 3, 1, 3, 3, 2, 4, 3, 4, 0, 2, 4, 4, 0, 2, 4, 4, 2, 2, 4, 0, 4, 0, 4, 1, 4, 3, 4, 4, 1, 1, 1, 2, 4, 1, 0, 3, 1, 3, 1, 1, 4, 1, 2, 4, 3, 0, 4, 0, 0, 1, 4, 0, 3, 4, 0, 4, 3, 1, 3, 4, 3, 2, 1, 0, 0, 3, 1, 4, 1, 4, 4, 2, 1, 3, 1, 1, 0, 4, 3, 4, 4, 4, 1, 3, 3, 3, 2, 1, 1, 0, 1, 3, 3, 4, 3, 2, 2, 4, 0, 2, 1, 0, 3, 3, 2, 3, 2, 2, 3, 2, 2, 3, 1, 3, 1, 4, 2, 0, 4, 1, 0, 4, 3, 4, 3, 2, 1, 4, 2, 1, 2, 2, 2, 0, 1, 4, 3, 4, 0, 1, 4, 4, 0, 1, 4, 3, 1, 0, 4, 2, 0, 0, 1, 3, 1] pubkeycol636 = [4, 1, 0, 0, 3, 0, 0, 3, 0, 1, 0, 3, 2, 4, 1, 3, 4, 0, 3, 4, 3, 1, 0, 3, 3, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 4, 0, 3, 1, 1, 2, 0, 2, 0, 1, 3, 4, 1, 2, 4, 4, 1, 4, 3, 0, 2, 4, 4, 1, 2, 3, 1, 3, 1, 3, 0, 0, 1, 2, 0, 3, 1, 1, 2, 4, 2, 2, 1, 1, 3, 1, 4, 0, 1, 2, 1, 4, 3, 1, 4, 1, 2, 4, 2, 0, 3, 0, 4, 2, 0, 2, 1, 0, 0, 2, 0, 4, 3, 0, 3, 1, 4, 0, 3, 1, 0, 1, 2, 4, 2, 1, 3, 3, 2, 0, 1, 2, 4, 0, 4, 3, 4, 1, 0, 3, 0, 1, 3, 0, 2, 2, 1, 2, 2, 2, 2, 4, 3, 3, 4, 0, 2, 0, 3, 1, 4, 4, 4, 1, 1, 1, 3, 1, 4, 0, 1, 0, 3, 0, 3, 4, 1, 1, 2, 2, 0, 1, 4, 3, 4, 3, 0, 2, 2, 2, 1, 1, 2, 4, 4, 3, 0, 1, 2, 2, 2, 1, 2, 1, 4, 3, 1, 1, 0, 2, 0, 0, 0, 0, 4, 4, 4, 4, 2, 3, 3, 3, 4, 2, 4, 4, 2, 0, 4, 0, 4, 3, 2, 3, 3, 4, 4, 3, 0, 4, 1, 1, 3, 2, 1, 0, 2, 3, 2, 3, 4, 2, 0, 2, 4, 3, 4, 1, 3, 0, 4, 0, 0, 4, 4, 0, 1, 4, 1, 1, 0, 0, 2, 2, 1, 4, 2, 1, 3, 2, 1, 1, 3, 2, 3, 1, 3, 3, 4, 4, 3, 4, 1, 0, 2, 3, 4, 1, 1, 4, 1, 3, 1, 4, 2, 1, 1, 3, 1, 3, 4, 4, 2, 1, 4, 4, 2, 0, 0, 4, 1, 1, 2, 0, 3, 3, 1, 2, 1, 0, 0, 0, 4, 2, 3, 2, 3, 0, 4, 1, 4, 3, 2, 4, 2, 2, 4, 1, 2, 2, 2, 0, 4, 4, 1, 4, 0, 3, 2, 0, 0, 1, 4, 3, 0, 0, 2, 2, 0, 4, 3, 2, 4, 1, 2, 4, 0, 2, 0, 0, 2, 1, 3, 1, 4, 4, 2, 2, 3, 4, 3, 2, 4, 1, 4, 2, 3, 2, 1, 1, 2, 1, 2, 0, 0, 3, 4, 3, 0, 1, 4, 3, 3, 2, 3, 4, 3, 4, 4, 4, 3, 0, 0, 4, 2, 0, 4, 2, 1, 1, 4, 0, 1, 2, 3, 0, 2, 2, 2, 2, 2, 1, 3, 1, 4, 2, 4, 1, 0, 2, 3, 3, 1, 2, 4, 3, 2, 3, 2, 0, 4, 0, 0, 2, 1, 0, 4, 3, 0, 0, 3, 0, 2, 0, 1, 1, 1, 3, 1, 1, 3, 1, 2, 2] pubkeycol637 = [1, 3, 2, 3, 1, 0, 0, 3, 0, 4, 4, 3, 2, 4, 1, 2, 2, 1, 0, 2, 0, 0, 3, 3, 0, 1, 1, 0, 0, 3, 0, 3, 0, 0, 2, 3, 0, 4, 4, 2, 3, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 3, 4, 3, 1, 4, 2, 1, 1, 4, 1, 2, 4, 1, 3, 0, 3, 2, 1, 2, 1, 0, 3, 0, 2, 2, 2, 0, 3, 1, 2, 0, 1, 2, 1, 0, 4, 3, 1, 4, 0, 0, 0, 0, 3, 2, 0, 4, 3, 0, 0, 0, 0, 3, 2, 0, 2, 0, 1, 1, 4, 1, 3, 4, 4, 1, 0, 1, 0, 1, 0, 1, 4, 0, 3, 1, 4, 1, 2, 4, 1, 1, 1, 3, 1, 1, 4, 3, 0, 3, 0, 4, 3, 4, 2, 2, 1, 2, 4, 2, 2, 1, 3, 4, 2, 2, 3, 4, 4, 2, 0, 0, 3, 1, 1, 1, 4, 2, 3, 2, 4, 3, 1, 3, 0, 3, 3, 0, 0, 4, 3, 3, 4, 4, 2, 1, 1, 2, 1, 4, 1, 0, 4, 3, 2, 1, 3, 0, 4, 3, 1, 3, 3, 2, 3, 3, 0, 3, 1, 1, 3, 4, 0, 0, 4, 0, 3, 1, 2, 4, 1, 2, 1, 3, 0, 3, 1, 4, 2, 3, 0, 4, 0, 2, 0, 0, 4, 1, 4, 1, 0, 1, 0, 3, 3, 2, 2, 1, 4, 4, 3, 1, 0, 2, 0, 2, 1, 4, 0, 2, 2, 0, 0, 3, 1, 4, 4, 3, 4, 3, 4, 0, 4, 4, 4, 4, 1, 4, 2, 2, 3, 0, 2, 3, 4, 2, 0, 3, 2, 0, 0, 0, 1, 2, 3, 1, 1, 4, 2, 1, 3, 0, 4, 4, 3, 4, 0, 0, 4, 2, 1, 4, 4, 0, 0, 3, 1, 0, 4, 4, 3, 3, 1, 4, 3, 3, 0, 0, 1, 4, 3, 3, 3, 4, 1, 1, 3, 4, 4, 1, 1, 1, 3, 0, 4, 2, 4, 3, 2, 4, 0, 4, 4, 0, 1, 4, 4, 1, 2, 0, 4, 4, 2, 3, 3, 0, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 1, 2, 2, 4, 2, 2, 2, 1, 2, 2, 4, 3, 0, 2, 2, 2, 2, 4, 1, 1, 3, 0, 1, 4, 3, 2, 2, 0, 2, 1, 0, 3, 4, 3, 2, 4, 3, 0, 3, 3, 2, 0, 3, 3, 3, 4, 2, 0, 1, 2, 1, 3, 2, 4, 4, 4, 4, 4, 0, 2, 1, 2, 0, 2, 3, 4, 3, 4, 3, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 3, 3, 4, 0, 4, 2, 4, 3, 4, 2, 1, 4, 4, 2, 2, 3, 0, 1, 1, 1, 3, 1] pubkeycol638 = [0, 4, 3, 4, 3, 4, 4, 3, 0, 3, 0, 3, 3, 3, 1, 2, 2, 0, 4, 0, 1, 1, 1, 1, 4, 0, 0, 3, 0, 1, 1, 3, 0, 4, 1, 3, 1, 2, 0, 3, 2, 0, 0, 3, 4, 2, 3, 0, 3, 4, 2, 3, 1, 0, 4, 0, 2, 1, 2, 3, 0, 1, 3, 4, 3, 2, 1, 0, 3, 4, 1, 2, 4, 0, 1, 4, 4, 0, 2, 0, 0, 4, 3, 1, 4, 0, 4, 3, 1, 1, 1, 4, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 1, 0, 2, 3, 4, 0, 2, 2, 0, 4, 1, 2, 1, 2, 4, 2, 1, 4, 0, 0, 0, 2, 3, 1, 3, 3, 3, 2, 0, 1, 1, 0, 2, 4, 4, 0, 4, 4, 2, 1, 4, 1, 1, 1, 2, 2, 0, 0, 3, 4, 2, 0, 2, 0, 4, 3, 0, 1, 1, 2, 1, 1, 4, 2, 2, 1, 2, 0, 4, 0, 2, 2, 2, 0, 3, 4, 4, 1, 4, 3, 1, 0, 2, 2, 4, 0, 1, 4, 2, 3, 4, 4, 4, 2, 3, 2, 1, 0, 0, 2, 3, 2, 4, 3, 1, 3, 2, 2, 1, 0, 4, 4, 0, 2, 1, 4, 0, 4, 4, 0, 4, 0, 3, 4, 3, 1, 4, 3, 4, 0, 4, 0, 1, 4, 1, 1, 0, 4, 3, 1, 0, 3, 0, 1, 4, 2, 3, 0, 4, 1, 1, 3, 3, 4, 4, 1, 0, 4, 0, 0, 3, 0, 3, 2, 4, 3, 2, 4, 0, 2, 2, 1, 4, 4, 1, 0, 4, 4, 4, 2, 3, 0, 4, 1, 0, 3, 4, 0, 2, 2, 4, 0, 1, 3, 0, 0, 4, 1, 2, 1, 3, 1, 2, 1, 0, 2, 3, 2, 0, 1, 0, 0, 3, 3, 1, 4, 3, 3, 3, 2, 0, 2, 3, 4, 3, 1, 2, 0, 0, 2, 0, 4, 2, 1, 2, 0, 4, 1, 3, 3, 4, 2, 2, 1, 4, 1, 3, 0, 0, 1, 2, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 0, 2, 1, 3, 2, 2, 0, 4, 0, 0, 2, 0, 1, 1, 1, 2, 4, 1, 2, 0, 0, 2, 0, 3, 2, 0, 0, 3, 0, 0, 1, 3, 1, 2, 1, 4, 0, 2, 4, 4, 4, 2, 3, 0, 3, 3, 2, 1, 2, 1, 4, 2, 1, 2, 2, 4, 0, 0, 2, 0, 4, 4, 3, 4, 0, 1, 3, 2, 4, 0, 1, 0, 2, 3, 4, 0, 1, 4, 0, 0, 2, 2, 0, 4, 0, 1, 2, 3, 2, 1, 3, 4, 4, 3, 1, 1, 0, 1, 1, 4, 3, 2, 3, 3, 1, 3, 2, 1, 3, 2, 1, 0, 0, 0, 3] pubkeycol639 = [4, 0, 4, 1, 3, 2, 2, 2, 2, 2, 3, 2, 0, 2, 4, 4, 3, 3, 0, 3, 4, 4, 0, 2, 3, 0, 1, 3, 2, 3, 1, 0, 2, 4, 4, 2, 3, 4, 2, 2, 1, 3, 1, 0, 0, 4, 1, 4, 3, 3, 0, 4, 1, 3, 2, 3, 1, 2, 4, 1, 1, 0, 2, 0, 0, 0, 4, 1, 3, 1, 0, 1, 2, 0, 4, 3, 0, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 3, 1, 2, 3, 3, 0, 1, 0, 4, 0, 1, 0, 2, 1, 0, 1, 0, 4, 0, 3, 4, 4, 4, 4, 3, 2, 0, 2, 2, 2, 2, 4, 0, 0, 2, 0, 3, 0, 3, 0, 3, 3, 4, 3, 3, 2, 0, 4, 2, 2, 1, 2, 3, 0, 4, 3, 4, 0, 3, 0, 2, 2, 1, 3, 3, 1, 2, 4, 0, 3, 0, 4, 2, 3, 4, 2, 0, 4, 2, 0, 3, 1, 2, 3, 0, 3, 4, 3, 1, 0, 3, 3, 1, 1, 4, 0, 2, 2, 2, 0, 3, 4, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 4, 0, 3, 4, 3, 2, 2, 0, 3, 1, 3, 4, 2, 4, 0, 4, 1, 1, 4, 3, 1, 1, 1, 1, 1, 0, 3, 4, 2, 4, 4, 2, 4, 1, 3, 3, 4, 4, 4, 3, 3, 4, 2, 1, 1, 3, 4, 0, 3, 1, 1, 4, 3, 0, 3, 4, 0, 0, 3, 1, 3, 0, 3, 3, 1, 0, 0, 4, 1, 3, 2, 4, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 3, 0, 4, 2, 4, 1, 3, 3, 1, 3, 3, 4, 3, 4, 1, 0, 2, 3, 2, 3, 0, 2, 1, 2, 0, 1, 1, 3, 4, 3, 4, 3, 3, 2, 3, 1, 0, 2, 0, 1, 4, 1, 3, 3, 2, 2, 4, 4, 4, 1, 1, 0, 0, 0, 3, 0, 4, 4, 2, 1, 2, 0, 4, 1, 1, 2, 3, 1, 2, 2, 4, 2, 0, 1, 3, 0, 0, 1, 1, 0, 2, 2, 3, 3, 3, 1, 1, 3, 0, 3, 4, 1, 1, 0, 3, 4, 4, 0, 1, 3, 0, 3, 0, 1, 0, 3, 4, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 1, 2, 3, 2, 0, 3, 3, 3, 4, 1, 3, 0, 1, 1, 2, 2, 1, 1, 2, 2, 4, 2, 3, 1, 3, 0, 1, 3, 4, 2, 3, 3, 0, 4, 4, 2, 2, 1, 4, 0, 1, 0, 4, 4, 2, 3, 0, 4, 1, 3, 0, 3, 1, 2, 2, 0, 3, 1, 2, 4, 3, 3, 3, 2, 2, 2, 4, 2, 0, 0, 4, 3, 4, 4, 2, 0, 4, 3] pubkeycol640 = [1, 1, 4, 0, 2, 0, 2, 4, 2, 3, 4, 4, 0, 2, 3, 3, 0, 2, 4, 2, 2, 4, 1, 2, 3, 2, 3, 2, 1, 2, 4, 2, 3, 1, 2, 4, 4, 0, 2, 0, 0, 3, 3, 4, 1, 4, 1, 1, 1, 0, 3, 3, 2, 0, 3, 1, 1, 4, 1, 4, 3, 2, 3, 3, 1, 4, 2, 0, 4, 2, 4, 0, 3, 1, 3, 2, 0, 3, 1, 2, 0, 4, 1, 2, 2, 3, 1, 1, 1, 1, 1, 0, 4, 2, 1, 4, 1, 2, 4, 3, 1, 4, 2, 4, 1, 3, 4, 3, 4, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 4, 0, 0, 1, 3, 1, 4, 3, 1, 1, 3, 2, 0, 3, 1, 2, 4, 2, 2, 1, 0, 1, 0, 2, 0, 0, 3, 2, 1, 1, 3, 1, 1, 1, 4, 4, 3, 4, 0, 4, 0, 0, 1, 4, 0, 0, 3, 4, 1, 0, 2, 3, 3, 0, 0, 0, 2, 4, 4, 0, 1, 3, 2, 4, 4, 3, 2, 4, 2, 4, 4, 4, 0, 2, 4, 4, 2, 0, 2, 0, 0, 2, 0, 0, 4, 4, 0, 2, 4, 4, 2, 0, 3, 4, 3, 3, 2, 4, 0, 3, 0, 2, 2, 2, 1, 4, 0, 3, 2, 4, 1, 4, 2, 1, 0, 2, 4, 3, 1, 3, 1, 0, 2, 4, 0, 4, 2, 2, 1, 1, 3, 1, 0, 2, 1, 0, 0, 1, 0, 4, 4, 1, 3, 2, 4, 2, 4, 1, 3, 2, 0, 1, 1, 3, 3, 2, 3, 0, 1, 0, 0, 4, 2, 0, 0, 4, 1, 1, 4, 4, 2, 1, 0, 4, 4, 4, 3, 4, 2, 2, 4, 2, 0, 1, 2, 1, 0, 0, 4, 4, 2, 3, 0, 2, 4, 0, 2, 3, 2, 4, 3, 1, 4, 1, 0, 3, 2, 1, 0, 2, 1, 4, 0, 0, 2, 0, 2, 2, 3, 4, 4, 3, 2, 2, 0, 4, 3, 1, 0, 1, 3, 1, 3, 4, 2, 1, 1, 1, 0, 1, 4, 4, 4, 1, 4, 2, 2, 0, 4, 0, 3, 0, 3, 2, 1, 4, 2, 4, 1, 3, 2, 0, 0, 0, 1, 2, 0, 0, 3, 3, 0, 3, 3, 0, 3, 4, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 3, 2, 0, 1, 3, 2, 3, 0, 3, 3, 3, 3, 0, 1, 2, 3, 2, 3, 1, 3, 0, 2, 2, 3, 4, 4, 3, 3, 2, 4, 1, 0, 3, 1, 3, 2, 0, 1, 1, 1, 4, 2, 2, 2, 0, 0, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 1, 2, 1, 4, 4, 2, 1, 0, 4, 1, 2, 4, 4, 0, 3] pubkeycol641 = [4, 1, 2, 0, 0, 1, 0, 4, 3, 3, 3, 1, 4, 2, 4, 1, 2, 2, 1, 1, 3, 1, 0, 4, 3, 1, 3, 4, 4, 2, 4, 3, 1, 0, 0, 2, 0, 4, 0, 3, 2, 0, 1, 3, 1, 1, 1, 1, 1, 3, 0, 3, 0, 3, 1, 0, 4, 0, 2, 2, 2, 1, 4, 3, 4, 3, 3, 3, 2, 0, 1, 0, 2, 1, 3, 2, 0, 3, 3, 2, 0, 1, 1, 1, 3, 1, 1, 3, 3, 1, 2, 3, 3, 0, 1, 3, 3, 0, 4, 3, 3, 0, 4, 2, 1, 4, 0, 4, 0, 3, 1, 2, 0, 2, 3, 4, 1, 1, 1, 3, 2, 3, 4, 4, 1, 1, 3, 1, 2, 4, 1, 3, 2, 1, 3, 2, 1, 3, 2, 3, 0, 0, 4, 4, 4, 1, 2, 3, 0, 4, 1, 0, 1, 1, 0, 2, 3, 1, 4, 3, 1, 1, 2, 4, 0, 0, 4, 2, 0, 1, 1, 2, 1, 3, 4, 3, 1, 4, 3, 1, 0, 0, 3, 2, 4, 0, 4, 3, 2, 1, 0, 3, 4, 2, 2, 4, 1, 0, 2, 1, 2, 3, 1, 3, 0, 2, 4, 2, 1, 2, 2, 3, 0, 1, 4, 3, 4, 4, 3, 3, 3, 1, 4, 2, 0, 3, 1, 2, 0, 1, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 0, 1, 3, 3, 1, 1, 3, 3, 2, 0, 2, 3, 1, 2, 4, 2, 4, 0, 0, 2, 4, 3, 0, 0, 1, 4, 4, 1, 0, 3, 1, 2, 0, 4, 4, 1, 1, 2, 2, 0, 2, 3, 1, 3, 4, 0, 3, 0, 3, 2, 3, 0, 0, 1, 3, 4, 3, 1, 0, 1, 4, 0, 0, 0, 1, 4, 4, 4, 3, 0, 1, 3, 1, 0, 0, 0, 2, 0, 4, 2, 4, 4, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 3, 0, 1, 4, 3, 3, 1, 2, 4, 2, 4, 4, 4, 4, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 4, 2, 0, 3, 0, 4, 2, 2, 1, 4, 3, 1, 4, 2, 4, 2, 1, 3, 1, 4, 3, 4, 4, 2, 3, 0, 2, 2, 1, 2, 3, 0, 4, 2, 0, 0, 2, 3, 2, 2, 0, 3, 0, 4, 2, 3, 3, 4, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 4, 0, 1, 0, 1, 4, 4, 1, 1, 1, 3, 4, 2, 0, 4, 3, 0, 0, 3, 4, 4, 4, 3, 0, 3, 4, 4, 2, 1, 4, 1, 2, 0, 0, 4, 1, 1, 0, 4, 3, 3, 2, 1, 3, 4, 2, 1, 1, 1, 2, 0, 0, 3, 4, 4, 2, 1, 4] pubkeycol642 = [0, 1, 3, 4, 4, 3, 3, 2, 1, 0, 4, 4, 0, 1, 1, 1, 1, 0, 4, 0, 4, 0, 3, 3, 1, 1, 0, 3, 2, 1, 4, 2, 1, 4, 3, 2, 4, 3, 0, 0, 0, 3, 2, 4, 2, 1, 3, 3, 1, 0, 3, 0, 3, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 3, 0, 3, 1, 2, 3, 1, 0, 2, 0, 2, 0, 0, 0, 4, 0, 1, 4, 0, 3, 4, 3, 4, 2, 3, 3, 1, 0, 0, 2, 3, 0, 2, 1, 4, 0, 3, 1, 1, 0, 4, 1, 2, 0, 4, 4, 0, 4, 3, 2, 3, 2, 3, 2, 2, 1, 0, 1, 2, 0, 2, 2, 3, 4, 1, 4, 1, 2, 2, 1, 1, 3, 0, 3, 1, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 4, 1, 0, 2, 1, 4, 2, 0, 1, 3, 2, 1, 0, 2, 0, 1, 3, 1, 1, 3, 3, 1, 2, 3, 0, 2, 0, 1, 0, 2, 3, 3, 4, 2, 1, 1, 3, 0, 1, 2, 2, 0, 4, 2, 0, 0, 4, 4, 1, 4, 3, 0, 4, 2, 4, 1, 4, 0, 3, 4, 2, 0, 0, 1, 3, 0, 1, 3, 4, 0, 4, 2, 4, 4, 1, 2, 4, 4, 2, 2, 3, 0, 3, 2, 3, 2, 1, 4, 1, 3, 4, 0, 4, 3, 3, 4, 2, 2, 0, 0, 1, 1, 0, 1, 2, 4, 0, 4, 0, 4, 1, 3, 3, 1, 1, 0, 1, 1, 4, 1, 4, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 1, 0, 3, 3, 0, 2, 0, 4, 3, 4, 0, 2, 1, 4, 0, 0, 1, 1, 1, 3, 0, 3, 2, 0, 2, 2, 0, 4, 1, 0, 2, 1, 3, 3, 3, 0, 0, 4, 1, 4, 0, 2, 1, 0, 0, 0, 1, 1, 3, 2, 4, 0, 0, 0, 1, 4, 2, 4, 2, 4, 4, 2, 2, 4, 4, 1, 2, 3, 2, 4, 2, 4, 1, 3, 4, 4, 3, 0, 3, 2, 1, 0, 0, 4, 1, 3, 4, 3, 2, 3, 3, 1, 4, 0, 2, 1, 4, 0, 4, 0, 4, 1, 1, 0, 1, 4, 3, 0, 4, 4, 0, 3, 1, 1, 0, 0, 1, 1, 0, 3, 0, 3, 1, 0, 2, 2, 3, 1, 3, 3, 4, 4, 4, 4, 4, 4, 1, 3, 1, 2, 0, 4, 4, 3, 3, 4, 4, 2, 2, 1, 1, 1, 0, 3, 1, 2, 2, 4, 4, 4, 0, 0, 0, 3, 3, 1, 4, 2, 2, 1, 0, 1, 4, 1, 1, 0, 3, 2, 4, 0, 4, 2, 3, 1, 4, 1, 0, 1, 3, 1, 0, 0, 3, 1, 4, 2] pubkeycol643 = [1, 3, 3, 3, 0, 4, 0, 0, 4, 4, 4, 4, 4, 1, 2, 4, 2, 3, 2, 2, 4, 1, 0, 1, 4, 4, 4, 3, 2, 4, 3, 4, 0, 3, 2, 1, 4, 2, 3, 3, 1, 3, 0, 2, 1, 1, 2, 4, 4, 0, 2, 4, 4, 2, 0, 0, 1, 3, 4, 1, 3, 4, 3, 3, 2, 2, 0, 2, 3, 0, 1, 4, 2, 0, 1, 3, 2, 2, 0, 0, 0, 1, 2, 2, 1, 4, 0, 2, 4, 2, 2, 4, 4, 1, 3, 4, 0, 0, 1, 2, 0, 1, 0, 1, 3, 0, 3, 1, 3, 0, 3, 2, 4, 2, 1, 4, 2, 4, 0, 3, 0, 0, 4, 3, 4, 1, 0, 4, 0, 3, 4, 2, 2, 4, 4, 2, 1, 1, 0, 4, 2, 2, 4, 1, 2, 4, 4, 2, 3, 4, 0, 1, 4, 2, 4, 0, 4, 3, 4, 3, 3, 1, 2, 3, 4, 3, 2, 0, 2, 3, 2, 3, 3, 4, 1, 4, 0, 2, 0, 1, 1, 1, 3, 1, 2, 2, 4, 4, 0, 3, 1, 2, 3, 2, 1, 2, 4, 1, 0, 4, 1, 0, 3, 3, 3, 3, 2, 1, 3, 0, 0, 3, 4, 4, 2, 4, 4, 1, 2, 3, 1, 3, 4, 0, 1, 3, 1, 3, 4, 2, 3, 1, 4, 1, 4, 3, 4, 3, 0, 2, 1, 2, 3, 2, 3, 3, 1, 4, 0, 4, 3, 0, 3, 1, 3, 2, 4, 1, 4, 1, 4, 3, 2, 0, 1, 0, 1, 2, 4, 3, 4, 0, 2, 4, 4, 0, 4, 1, 3, 1, 0, 0, 0, 0, 1, 0, 4, 0, 4, 3, 4, 2, 4, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 3, 4, 3, 4, 0, 4, 3, 1, 1, 2, 0, 1, 3, 3, 2, 0, 1, 4, 4, 1, 2, 2, 4, 2, 4, 1, 4, 1, 3, 0, 3, 2, 3, 1, 2, 2, 1, 3, 1, 1, 4, 1, 2, 2, 2, 3, 3, 2, 4, 1, 0, 3, 1, 2, 2, 0, 3, 2, 0, 1, 0, 3, 2, 4, 4, 1, 1, 0, 4, 1, 4, 3, 1, 4, 3, 4, 2, 1, 1, 0, 1, 0, 4, 4, 0, 3, 1, 0, 1, 3, 3, 4, 4, 3, 0, 2, 3, 4, 4, 2, 2, 4, 1, 3, 1, 4, 2, 4, 0, 0, 0, 3, 2, 3, 2, 3, 0, 4, 1, 2, 1, 4, 2, 2, 3, 2, 3, 0, 2, 3, 2, 3, 0, 3, 3, 1, 3, 2, 0, 0, 4, 2, 3, 3, 4, 0, 1, 4, 1, 0, 4, 2, 4, 1, 3, 1, 3, 0, 3, 4, 3, 3, 1, 3, 2, 4, 2, 3, 2, 1, 1, 1, 4, 3, 0] pubkeycol644 = [2, 0, 1, 4, 2, 4, 4, 3, 4, 1, 0, 3, 1, 2, 3, 0, 0, 1, 1, 1, 4, 0, 2, 2, 4, 0, 4, 4, 1, 2, 0, 2, 1, 1, 2, 3, 4, 1, 2, 3, 3, 4, 0, 0, 4, 1, 4, 3, 3, 0, 0, 2, 2, 2, 1, 1, 4, 2, 2, 0, 2, 4, 4, 1, 2, 4, 1, 4, 3, 1, 1, 2, 4, 3, 1, 2, 0, 1, 3, 0, 2, 2, 4, 2, 3, 2, 3, 3, 0, 3, 4, 0, 4, 1, 2, 4, 2, 4, 0, 4, 2, 4, 1, 3, 3, 1, 3, 2, 0, 1, 4, 1, 0, 3, 4, 3, 2, 4, 0, 3, 2, 2, 1, 4, 3, 1, 4, 3, 2, 1, 2, 3, 4, 0, 0, 4, 3, 0, 4, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 3, 2, 0, 0, 0, 1, 4, 3, 4, 4, 1, 3, 2, 2, 4, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 3, 3, 1, 1, 2, 0, 4, 0, 0, 4, 0, 3, 1, 2, 4, 1, 3, 3, 2, 1, 4, 4, 0, 4, 1, 1, 4, 1, 4, 0, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 3, 1, 2, 3, 4, 4, 2, 4, 3, 2, 4, 2, 2, 3, 2, 0, 4, 4, 3, 3, 0, 4, 2, 2, 3, 3, 0, 0, 1, 3, 2, 4, 3, 1, 4, 3, 0, 1, 2, 4, 2, 0, 1, 0, 0, 2, 3, 1, 0, 3, 4, 2, 4, 0, 2, 3, 0, 1, 3, 4, 0, 3, 0, 3, 3, 4, 4, 2, 1, 0, 3, 0, 3, 0, 2, 0, 0, 1, 2, 0, 3, 3, 4, 2, 0, 3, 4, 0, 3, 1, 4, 3, 2, 2, 0, 4, 3, 1, 2, 0, 3, 3, 2, 0, 2, 0, 1, 3, 2, 0, 1, 4, 3, 1, 2, 2, 2, 0, 3, 4, 3, 1, 1, 1, 1, 3, 1, 2, 2, 0, 3, 1, 4, 1, 4, 0, 1, 2, 4, 4, 2, 3, 2, 1, 3, 4, 0, 0, 2, 4, 4, 2, 1, 3, 3, 1, 3, 2, 3, 1, 2, 4, 1, 1, 2, 0, 4, 4, 1, 0, 4, 1, 0, 4, 3, 0, 2, 3, 4, 4, 4, 1, 4, 4, 3, 2, 0, 4, 0, 4, 2, 2, 2, 0, 4, 3, 2, 3, 3, 4, 0, 3, 1, 0, 1, 1, 3, 4, 2, 0, 0, 2, 1, 1, 3, 2, 3, 3, 0, 0, 2, 2, 2, 0, 2, 4, 1, 4, 1, 1, 4, 3, 4, 0, 2, 0, 1, 4, 3, 3, 3, 0, 0, 3, 3, 1, 0, 3, 2, 4, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 3, 2, 3] pubkeycol645 = [3, 3, 3, 0, 1, 2, 1, 2, 4, 4, 2, 0, 0, 2, 0, 2, 1, 0, 0, 4, 3, 2, 2, 1, 1, 4, 3, 3, 3, 2, 2, 3, 0, 1, 2, 1, 3, 1, 4, 1, 0, 4, 2, 1, 2, 2, 4, 2, 2, 1, 1, 3, 4, 3, 2, 1, 4, 4, 0, 4, 0, 4, 2, 3, 2, 1, 4, 4, 4, 4, 2, 2, 2, 4, 0, 0, 4, 2, 3, 3, 4, 1, 1, 0, 4, 1, 2, 0, 0, 2, 1, 2, 2, 3, 4, 4, 1, 3, 2, 4, 1, 1, 3, 2, 4, 4, 2, 2, 4, 2, 4, 2, 1, 4, 1, 3, 4, 3, 3, 0, 3, 0, 0, 0, 2, 3, 1, 1, 0, 2, 2, 3, 0, 4, 1, 4, 4, 3, 2, 1, 3, 1, 1, 2, 4, 1, 2, 2, 4, 4, 2, 2, 2, 4, 2, 0, 4, 4, 3, 4, 0, 1, 4, 4, 1, 0, 4, 3, 4, 0, 2, 4, 1, 0, 0, 3, 0, 4, 0, 0, 0, 3, 4, 0, 3, 4, 2, 0, 1, 1, 2, 2, 4, 3, 4, 1, 3, 1, 0, 3, 4, 1, 2, 0, 4, 0, 1, 1, 4, 4, 2, 4, 0, 0, 0, 0, 0, 1, 0, 4, 1, 1, 1, 3, 2, 4, 3, 4, 3, 2, 0, 4, 0, 1, 1, 0, 3, 2, 4, 1, 1, 1, 1, 3, 2, 4, 2, 3, 3, 2, 0, 2, 1, 4, 3, 4, 1, 4, 1, 2, 0, 3, 2, 0, 2, 3, 4, 0, 1, 3, 1, 3, 0, 4, 4, 3, 0, 4, 3, 1, 1, 4, 3, 2, 4, 0, 1, 2, 2, 3, 2, 3, 1, 3, 2, 1, 1, 2, 4, 3, 0, 2, 4, 2, 2, 3, 3, 2, 4, 4, 4, 2, 4, 3, 3, 0, 4, 1, 2, 0, 1, 0, 3, 0, 4, 4, 4, 2, 4, 3, 4, 4, 0, 4, 4, 4, 4, 3, 2, 2, 4, 1, 2, 4, 1, 2, 3, 1, 1, 2, 2, 2, 2, 0, 2, 3, 1, 2, 4, 3, 4, 3, 3, 1, 3, 3, 0, 1, 3, 0, 3, 4, 2, 2, 4, 1, 3, 2, 0, 4, 0, 1, 0, 0, 4, 1, 3, 2, 0, 2, 4, 4, 4, 4, 3, 1, 0, 4, 4, 0, 3, 0, 3, 0, 3, 1, 4, 3, 1, 3, 1, 2, 1, 1, 4, 1, 4, 2, 1, 2, 3, 3, 2, 2, 2, 0, 3, 0, 4, 3, 1, 1, 3, 1, 4, 3, 4, 0, 1, 3, 2, 2, 4, 3, 2, 3, 4, 0, 3, 3, 1, 4, 3, 3, 2, 3, 0, 0, 2, 3, 2, 0, 0, 1, 0, 1, 2, 0, 4, 3, 1, 3, 4, 1, 0, 3, 3, 3, 0, 0] pubkeycol646 = [0, 1, 0, 1, 2, 4, 1, 0, 1, 2, 3, 1, 4, 0, 1, 2, 4, 1, 2, 2, 0, 0, 2, 3, 4, 0, 2, 3, 4, 1, 0, 0, 2, 0, 0, 0, 4, 0, 4, 0, 2, 0, 4, 3, 1, 2, 3, 4, 1, 2, 3, 0, 1, 3, 1, 0, 1, 4, 0, 3, 4, 4, 0, 3, 3, 0, 4, 0, 0, 2, 0, 1, 3, 4, 0, 0, 4, 4, 1, 4, 1, 4, 4, 3, 1, 3, 0, 3, 0, 1, 4, 4, 3, 4, 4, 3, 3, 3, 1, 0, 3, 4, 3, 1, 3, 3, 0, 1, 2, 0, 0, 4, 3, 4, 0, 0, 4, 3, 4, 1, 3, 2, 1, 2, 4, 1, 4, 2, 3, 4, 4, 0, 3, 4, 3, 3, 3, 3, 2, 1, 2, 3, 4, 4, 4, 0, 4, 2, 0, 4, 4, 1, 1, 2, 4, 0, 0, 1, 4, 4, 0, 4, 1, 3, 4, 0, 1, 1, 4, 0, 2, 3, 2, 3, 4, 0, 1, 3, 1, 3, 1, 0, 4, 1, 1, 2, 4, 1, 2, 4, 4, 1, 2, 2, 1, 0, 0, 3, 0, 1, 3, 1, 1, 4, 4, 3, 2, 0, 4, 3, 2, 4, 1, 0, 1, 4, 3, 4, 3, 3, 4, 4, 2, 3, 4, 3, 1, 3, 0, 1, 1, 1, 0, 4, 4, 0, 1, 3, 2, 3, 3, 3, 2, 4, 1, 0, 1, 2, 3, 4, 0, 4, 2, 4, 3, 1, 2, 4, 2, 2, 0, 1, 0, 1, 2, 3, 4, 3, 1, 3, 1, 1, 0, 3, 2, 3, 3, 1, 1, 4, 4, 4, 1, 2, 2, 4, 3, 3, 1, 0, 3, 2, 2, 3, 1, 2, 2, 0, 0, 0, 0, 0, 3, 0, 2, 1, 3, 2, 4, 2, 0, 1, 4, 1, 3, 3, 3, 1, 4, 2, 0, 0, 1, 4, 1, 4, 3, 3, 4, 3, 1, 2, 3, 4, 2, 0, 0, 4, 4, 0, 0, 4, 3, 0, 3, 0, 2, 4, 2, 3, 4, 1, 4, 4, 0, 0, 0, 1, 3, 2, 0, 0, 3, 2, 0, 2, 2, 3, 3, 1, 2, 4, 4, 2, 1, 4, 0, 1, 1, 1, 4, 4, 3, 1, 3, 0, 3, 2, 3, 0, 2, 3, 2, 3, 2, 0, 3, 1, 2, 1, 0, 1, 3, 2, 2, 4, 0, 4, 4, 0, 4, 4, 0, 3, 1, 4, 1, 4, 3, 4, 4, 1, 1, 0, 0, 2, 4, 3, 2, 0, 3, 1, 2, 2, 0, 2, 0, 1, 0, 3, 4, 0, 1, 1, 0, 4, 0, 4, 1, 0, 0, 0, 3, 3, 3, 0, 0, 1, 2, 0, 1, 2, 3, 3, 0, 1, 4, 3, 2, 2, 2, 0, 0, 0, 3, 3, 2, 0, 4, 3] pubkeycol647 = [4, 3, 2, 3, 0, 3, 2, 1, 3, 2, 1, 1, 3, 2, 4, 0, 4, 3, 2, 4, 3, 3, 0, 4, 4, 0, 4, 3, 2, 2, 4, 0, 2, 2, 4, 0, 0, 4, 2, 3, 2, 1, 3, 1, 4, 4, 4, 2, 1, 4, 0, 3, 4, 2, 2, 2, 2, 1, 1, 4, 3, 3, 4, 4, 4, 3, 2, 2, 1, 4, 3, 4, 2, 2, 3, 0, 0, 1, 1, 1, 3, 1, 0, 4, 2, 3, 3, 1, 0, 0, 3, 0, 0, 4, 1, 1, 1, 0, 1, 4, 2, 3, 1, 4, 1, 2, 0, 3, 0, 3, 1, 1, 0, 0, 3, 0, 3, 3, 1, 4, 1, 4, 4, 3, 1, 3, 3, 1, 3, 2, 2, 0, 4, 2, 3, 4, 2, 4, 3, 2, 0, 4, 4, 4, 0, 0, 0, 4, 3, 1, 2, 3, 3, 0, 4, 4, 0, 3, 2, 1, 3, 3, 2, 0, 0, 0, 0, 4, 4, 3, 1, 2, 0, 1, 0, 3, 4, 4, 1, 2, 2, 2, 0, 4, 3, 4, 0, 1, 3, 1, 3, 3, 1, 1, 4, 0, 2, 1, 1, 3, 3, 3, 4, 1, 0, 0, 3, 0, 3, 3, 1, 4, 2, 3, 1, 2, 4, 0, 1, 4, 3, 1, 2, 3, 1, 1, 1, 0, 2, 4, 4, 0, 4, 1, 2, 0, 4, 0, 3, 1, 1, 4, 4, 0, 1, 2, 1, 3, 2, 2, 0, 1, 4, 0, 0, 1, 0, 3, 3, 3, 4, 3, 1, 0, 2, 0, 1, 2, 3, 2, 2, 2, 0, 2, 1, 1, 3, 1, 4, 4, 4, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 3, 4, 1, 2, 0, 0, 3, 4, 4, 2, 0, 0, 3, 2, 4, 1, 4, 4, 4, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 3, 4, 4, 2, 0, 0, 1, 2, 4, 1, 2, 4, 0, 0, 3, 1, 2, 4, 3, 4, 3, 0, 1, 2, 1, 3, 1, 3, 1, 1, 4, 3, 1, 3, 4, 2, 3, 2, 2, 3, 4, 1, 0, 2, 0, 2, 3, 3, 1, 4, 1, 0, 0, 1, 0, 3, 1, 3, 2, 4, 3, 3, 4, 2, 2, 1, 0, 0, 1, 2, 2, 3, 0, 2, 0, 1, 1, 4, 0, 3, 2, 4, 0, 4, 0, 2, 3, 1, 0, 0, 3, 3, 4, 4, 1, 3, 1, 4, 1, 0, 0, 3, 1, 1, 2, 1, 0, 0, 3, 4, 0, 1, 0, 4, 0, 0, 4, 0, 2, 1, 0, 0, 4, 3, 1, 0, 2, 4, 3, 2, 2, 0, 1, 2, 1, 0, 2, 4, 1, 4, 2, 2, 1, 1, 4, 2, 4, 3, 0, 2, 3, 0, 3, 3] pubkeycol648 = [1, 4, 0, 4, 2, 4, 4, 1, 0, 3, 4, 0, 2, 4, 3, 4, 4, 4, 3, 2, 3, 1, 1, 1, 0, 1, 3, 0, 2, 0, 3, 0, 2, 4, 3, 3, 1, 1, 3, 1, 4, 2, 2, 1, 3, 3, 3, 3, 2, 0, 0, 4, 3, 2, 1, 0, 0, 0, 2, 4, 4, 2, 4, 1, 2, 2, 3, 1, 2, 2, 4, 4, 1, 2, 2, 4, 0, 4, 4, 2, 3, 1, 2, 3, 2, 4, 0, 1, 0, 2, 2, 2, 1, 0, 1, 3, 3, 2, 0, 4, 0, 1, 0, 1, 3, 4, 0, 4, 1, 2, 4, 4, 1, 0, 1, 1, 4, 3, 2, 4, 3, 3, 4, 1, 4, 4, 3, 2, 2, 2, 1, 1, 1, 3, 4, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 4, 0, 3, 3, 4, 4, 0, 4, 4, 2, 4, 4, 1, 4, 4, 3, 0, 4, 2, 1, 0, 1, 0, 4, 4, 2, 1, 4, 4, 4, 1, 2, 4, 4, 0, 2, 4, 3, 0, 0, 2, 0, 0, 2, 4, 1, 0, 0, 2, 4, 4, 3, 4, 1, 3, 3, 3, 1, 4, 4, 3, 0, 1, 0, 3, 4, 2, 2, 2, 1, 1, 3, 3, 0, 4, 0, 2, 4, 1, 3, 0, 3, 0, 4, 0, 3, 0, 4, 0, 3, 4, 1, 3, 1, 2, 4, 3, 2, 3, 0, 4, 4, 3, 1, 0, 4, 3, 4, 0, 1, 3, 3, 1, 3, 2, 2, 0, 3, 0, 4, 0, 3, 2, 0, 3, 1, 1, 4, 0, 3, 1, 3, 2, 0, 4, 1, 4, 4, 4, 2, 2, 4, 1, 1, 3, 4, 1, 0, 3, 4, 2, 4, 0, 1, 2, 2, 4, 3, 1, 0, 1, 2, 1, 0, 1, 1, 4, 3, 2, 1, 3, 0, 3, 0, 0, 2, 2, 4, 4, 1, 4, 0, 4, 4, 3, 3, 0, 3, 3, 3, 0, 3, 2, 2, 2, 2, 1, 2, 2, 4, 4, 4, 2, 1, 2, 1, 3, 1, 1, 4, 2, 0, 4, 3, 2, 4, 2, 1, 1, 3, 2, 0, 2, 3, 0, 0, 1, 4, 2, 3, 0, 0, 1, 0, 2, 4, 3, 4, 4, 2, 0, 2, 2, 1, 4, 2, 2, 4, 4, 4, 2, 2, 3, 4, 4, 4, 4, 1, 0, 3, 3, 3, 0, 1, 1, 2, 0, 4, 3, 3, 4, 1, 0, 4, 3, 4, 2, 3, 3, 1, 3, 3, 1, 4, 0, 0, 2, 2, 3, 0, 4, 1, 2, 4, 4, 2, 4, 4, 1, 4, 1, 3, 4, 2, 4, 4, 2, 2, 4, 4, 3, 2, 2, 3, 1, 3, 3, 1, 2, 0, 0, 3, 0, 2, 2, 2, 2, 1, 4, 1, 3] pubkeycol649 = [2, 3, 0, 0, 3, 0, 4, 4, 0, 1, 2, 4, 0, 4, 4, 3, 1, 1, 2, 4, 3, 4, 2, 1, 3, 4, 1, 3, 3, 4, 2, 3, 2, 4, 4, 1, 4, 4, 2, 4, 3, 2, 3, 2, 0, 4, 3, 3, 1, 0, 2, 4, 3, 2, 4, 1, 4, 2, 4, 3, 2, 3, 4, 2, 4, 4, 4, 2, 2, 2, 2, 4, 4, 4, 4, 3, 0, 3, 2, 1, 3, 4, 1, 0, 0, 3, 1, 2, 0, 0, 1, 3, 0, 4, 1, 4, 3, 2, 0, 4, 3, 2, 4, 0, 2, 0, 4, 4, 2, 1, 0, 3, 1, 2, 0, 3, 4, 2, 3, 0, 2, 2, 4, 1, 2, 3, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 0, 3, 4, 3, 0, 1, 0, 1, 4, 2, 4, 4, 3, 2, 0, 3, 4, 3, 2, 4, 3, 3, 0, 0, 0, 3, 0, 2, 3, 0, 2, 3, 3, 3, 3, 4, 4, 4, 2, 0, 4, 0, 3, 1, 4, 4, 0, 3, 3, 0, 4, 0, 2, 1, 0, 1, 4, 1, 1, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 3, 1, 4, 1, 1, 4, 0, 4, 2, 0, 3, 4, 2, 2, 3, 3, 1, 1, 4, 1, 1, 3, 3, 2, 0, 2, 3, 4, 0, 1, 4, 1, 1, 0, 0, 1, 0, 3, 1, 1, 0, 4, 1, 1, 1, 3, 3, 2, 3, 2, 4, 2, 0, 0, 4, 4, 2, 2, 2, 0, 4, 2, 4, 2, 0, 2, 2, 4, 3, 2, 4, 1, 2, 1, 3, 3, 2, 1, 2, 1, 0, 1, 0, 4, 1, 0, 4, 4, 4, 2, 1, 3, 2, 1, 3, 3, 0, 3, 4, 4, 4, 2, 1, 4, 3, 2, 0, 3, 4, 1, 2, 4, 1, 4, 3, 0, 2, 4, 1, 2, 0, 0, 2, 1, 3, 4, 1, 3, 0, 4, 1, 3, 2, 3, 1, 4, 4, 2, 3, 1, 1, 4, 1, 3, 3, 3, 1, 3, 1, 2, 2, 1, 1, 0, 2, 3, 4, 1, 3, 1, 2, 3, 3, 0, 2, 1, 0, 0, 1, 3, 1, 0, 1, 3, 1, 4, 3, 1, 1, 1, 3, 3, 4, 0, 0, 4, 0, 4, 2, 3, 4, 1, 2, 3, 4, 4, 4, 3, 2, 2, 0, 4, 0, 4, 3, 1, 1, 3, 2, 1, 4, 4, 3, 3, 3, 4, 2, 1, 3, 2, 3, 2, 2, 2, 0, 1, 2, 2, 3, 1, 3, 4, 1, 2, 4, 3, 3, 4, 4, 1, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 0, 2, 2, 2, 1, 3, 2, 1, 3, 4, 0, 0, 1, 4, 2, 2, 0, 0, 0, 2, 3, 4] pubkeycol650 = [2, 3, 4, 2, 4, 3, 2, 2, 4, 3, 4, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 4, 2, 2, 1, 1, 1, 2, 4, 4, 3, 2, 0, 2, 4, 3, 2, 2, 1, 4, 3, 0, 3, 4, 4, 3, 4, 3, 3, 1, 0, 4, 1, 1, 2, 2, 3, 4, 1, 4, 3, 2, 4, 0, 3, 4, 3, 1, 2, 0, 3, 4, 4, 4, 4, 3, 2, 3, 3, 0, 0, 4, 1, 3, 3, 1, 2, 1, 3, 2, 1, 0, 0, 1, 1, 2, 1, 4, 0, 2, 2, 2, 1, 4, 4, 2, 0, 0, 4, 3, 3, 2, 3, 3, 2, 2, 3, 4, 4, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 2, 4, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 3, 0, 1, 2, 2, 2, 0, 0, 4, 4, 2, 1, 4, 4, 2, 0, 3, 2, 3, 4, 4, 1, 0, 3, 4, 0, 3, 3, 2, 3, 1, 3, 0, 2, 1, 4, 4, 3, 1, 3, 0, 2, 4, 3, 2, 2, 2, 4, 3, 3, 4, 2, 4, 2, 4, 4, 1, 2, 2, 0, 3, 4, 0, 0, 2, 3, 4, 2, 1, 3, 1, 2, 0, 1, 4, 1, 1, 0, 2, 3, 0, 2, 2, 0, 2, 3, 0, 0, 2, 2, 2, 1, 0, 1, 3, 4, 4, 2, 3, 2, 2, 2, 2, 1, 2, 4, 1, 3, 4, 0, 0, 3, 1, 3, 3, 2, 4, 3, 1, 3, 0, 0, 3, 0, 1, 2, 1, 4, 0, 2, 2, 3, 1, 2, 3, 3, 4, 3, 1, 4, 1, 3, 2, 2, 4, 4, 1, 4, 4, 0, 2, 4, 4, 1, 0, 0, 1, 0, 1, 0, 2, 1, 3, 1, 2, 1, 4, 0, 3, 0, 4, 2, 2, 3, 4, 1, 3, 2, 3, 0, 2, 4, 1, 1, 1, 4, 3, 2, 0, 1, 4, 0, 2, 3, 2, 4, 2, 4, 0, 3, 3, 3, 1, 1, 2, 2, 4, 1, 3, 2, 0, 1, 3, 1, 1, 4, 2, 2, 0, 4, 1, 0, 0, 4, 3, 4, 2, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 3, 0, 1, 3, 4, 0, 2, 4, 1, 4, 4, 4, 3, 4, 1, 2, 3, 4, 2, 0, 1, 0, 1, 1, 0, 0, 0, 4, 0, 1, 4, 3, 3, 1, 4, 1, 3, 4, 2, 1, 1, 0, 1, 4, 3, 3, 0, 4, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 4, 2, 0, 3, 1, 4, 1, 1, 1, 4, 0, 0, 3, 1, 0, 3, 3, 2, 1, 0, 1, 1, 2, 4, 1, 1, 4, 3, 4, 3, 3, 3, 1, 3, 3, 4, 1] pubkeycol651 = [4, 2, 2, 1, 1, 0, 1, 3, 2, 0, 2, 3, 4, 4, 2, 1, 4, 2, 0, 4, 4, 2, 3, 4, 0, 3, 2, 4, 3, 1, 3, 2, 2, 0, 2, 1, 0, 1, 4, 3, 4, 1, 3, 4, 4, 1, 2, 0, 0, 3, 0, 4, 3, 1, 2, 0, 1, 1, 4, 4, 3, 3, 2, 2, 1, 4, 4, 4, 3, 2, 3, 4, 2, 4, 1, 3, 0, 3, 3, 4, 2, 3, 4, 1, 2, 1, 0, 1, 4, 3, 2, 0, 4, 2, 1, 1, 0, 1, 2, 1, 1, 3, 3, 0, 2, 3, 0, 1, 0, 1, 4, 4, 0, 3, 1, 2, 3, 1, 4, 3, 3, 1, 4, 1, 4, 2, 3, 3, 4, 4, 0, 3, 4, 1, 4, 0, 0, 4, 2, 3, 3, 3, 1, 1, 1, 2, 3, 1, 0, 4, 4, 4, 3, 1, 1, 0, 3, 3, 4, 1, 0, 0, 4, 4, 2, 0, 2, 0, 2, 1, 4, 3, 3, 4, 2, 1, 3, 0, 2, 3, 3, 3, 1, 4, 3, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 2, 4, 1, 2, 3, 1, 2, 0, 3, 3, 3, 4, 0, 2, 4, 1, 1, 2, 2, 3, 0, 4, 4, 4, 0, 4, 0, 3, 3, 2, 0, 1, 2, 1, 3, 4, 1, 0, 1, 2, 3, 0, 1, 2, 3, 4, 4, 4, 0, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 4, 0, 0, 3, 2, 1, 2, 4, 2, 2, 4, 2, 4, 1, 3, 4, 0, 0, 4, 2, 0, 1, 3, 3, 2, 3, 3, 2, 3, 1, 0, 0, 4, 3, 2, 3, 4, 4, 4, 4, 0, 2, 3, 4, 0, 1, 1, 4, 2, 1, 1, 1, 1, 1, 0, 4, 4, 2, 2, 1, 1, 4, 1, 1, 4, 1, 0, 4, 2, 3, 4, 3, 0, 2, 4, 3, 2, 4, 4, 2, 1, 1, 2, 2, 3, 1, 2, 1, 2, 3, 3, 1, 1, 3, 1, 4, 2, 2, 1, 4, 1, 3, 1, 1, 2, 0, 2, 2, 3, 0, 2, 4, 4, 1, 0, 0, 3, 1, 2, 4, 3, 0, 3, 4, 0, 0, 4, 3, 3, 3, 3, 3, 2, 1, 1, 2, 4, 2, 4, 4, 0, 3, 4, 0, 3, 3, 4, 2, 3, 2, 3, 3, 2, 2, 2, 0, 0, 4, 2, 4, 0, 0, 3, 2, 3, 4, 4, 2, 1, 1, 0, 2, 2, 1, 0, 1, 4, 1, 2, 2, 0, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 1, 1, 3, 2, 3, 3, 4, 1, 3, 2, 1, 2, 3, 0, 4, 3, 3, 3, 3, 1, 1, 1, 1, 4, 0, 1, 1, 3, 1, 2, 1, 0, 3] pubkeycol652 = [3, 4, 1, 3, 3, 2, 1, 2, 2, 4, 3, 1, 0, 2, 2, 0, 4, 3, 0, 0, 1, 2, 1, 4, 4, 3, 2, 1, 0, 4, 2, 3, 3, 1, 4, 3, 0, 3, 2, 0, 1, 2, 4, 0, 1, 2, 0, 1, 3, 2, 4, 3, 3, 3, 3, 1, 1, 0, 4, 2, 1, 0, 3, 2, 2, 2, 2, 1, 2, 4, 3, 1, 3, 2, 1, 0, 2, 1, 4, 0, 0, 3, 1, 4, 3, 2, 0, 4, 0, 4, 2, 3, 0, 0, 0, 3, 0, 1, 0, 2, 0, 2, 4, 3, 0, 2, 4, 2, 3, 1, 0, 4, 1, 3, 0, 4, 3, 2, 2, 1, 1, 0, 2, 4, 3, 0, 3, 0, 1, 0, 4, 1, 4, 3, 4, 0, 2, 3, 2, 4, 2, 2, 1, 4, 0, 0, 0, 3, 4, 2, 3, 1, 2, 4, 0, 3, 3, 1, 0, 2, 1, 2, 4, 4, 0, 4, 4, 3, 2, 3, 4, 0, 4, 4, 1, 4, 3, 3, 2, 2, 1, 2, 0, 0, 3, 3, 3, 3, 4, 0, 3, 1, 1, 4, 4, 4, 0, 4, 1, 1, 2, 0, 3, 4, 3, 0, 4, 0, 0, 3, 1, 2, 4, 0, 0, 4, 3, 1, 1, 2, 3, 3, 3, 0, 4, 4, 0, 0, 3, 3, 3, 2, 1, 2, 1, 4, 0, 0, 3, 4, 2, 1, 1, 0, 0, 1, 3, 0, 4, 1, 2, 3, 1, 1, 0, 0, 3, 4, 1, 2, 3, 0, 2, 4, 1, 2, 0, 2, 4, 4, 4, 1, 0, 1, 3, 4, 4, 2, 2, 3, 1, 2, 1, 3, 0, 1, 1, 4, 0, 4, 2, 4, 4, 1, 1, 3, 3, 4, 2, 1, 3, 4, 3, 4, 2, 4, 1, 1, 2, 4, 3, 4, 2, 2, 0, 3, 4, 2, 4, 2, 0, 3, 3, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 4, 0, 0, 2, 3, 4, 3, 4, 4, 2, 1, 3, 0, 3, 1, 4, 0, 2, 2, 3, 2, 3, 0, 4, 0, 1, 0, 4, 3, 3, 4, 2, 3, 2, 2, 3, 3, 2, 0, 1, 1, 3, 3, 3, 4, 1, 1, 3, 2, 2, 3, 3, 2, 0, 0, 2, 2, 0, 0, 2, 0, 4, 3, 3, 2, 2, 4, 0, 2, 1, 2, 2, 2, 4, 0, 3, 1, 3, 1, 3, 0, 3, 2, 3, 1, 0, 3, 3, 0, 3, 1, 3, 4, 2, 3, 4, 3, 0, 3, 4, 2, 4, 1, 3, 0, 3, 4, 3, 0, 2, 2, 1, 0, 4, 3, 2, 2, 1, 1, 2, 3, 3, 3, 4, 3, 1, 0, 4, 4, 1, 0, 4, 4, 0, 3, 2, 3, 3, 4, 2, 3, 4, 1, 1, 4] pubkeycol653 = [1, 2, 0, 0, 3, 4, 1, 2, 1, 1, 4, 2, 4, 3, 1, 3, 1, 0, 4, 0, 0, 0, 3, 0, 2, 1, 3, 2, 2, 1, 1, 0, 1, 4, 3, 3, 1, 3, 1, 0, 2, 4, 3, 2, 3, 2, 4, 2, 2, 1, 4, 0, 0, 2, 2, 0, 4, 4, 2, 4, 4, 1, 4, 0, 0, 4, 3, 3, 0, 3, 0, 2, 1, 2, 3, 4, 1, 4, 1, 4, 2, 1, 3, 0, 3, 4, 1, 3, 1, 3, 0, 3, 3, 4, 1, 0, 1, 1, 0, 3, 2, 0, 4, 2, 1, 0, 0, 4, 3, 4, 2, 3, 3, 3, 0, 4, 0, 3, 1, 0, 4, 0, 3, 2, 1, 4, 1, 1, 2, 4, 0, 3, 4, 3, 0, 3, 0, 1, 1, 4, 0, 3, 4, 4, 0, 1, 0, 4, 1, 4, 4, 0, 4, 0, 2, 2, 0, 4, 2, 3, 3, 4, 4, 0, 1, 1, 2, 3, 3, 1, 4, 4, 2, 2, 3, 2, 3, 2, 2, 1, 2, 4, 2, 4, 4, 4, 4, 0, 2, 0, 2, 4, 0, 3, 3, 4, 1, 4, 1, 4, 1, 0, 3, 3, 2, 0, 1, 0, 4, 3, 4, 1, 4, 0, 4, 3, 4, 3, 1, 4, 4, 4, 3, 4, 1, 1, 3, 4, 2, 4, 1, 0, 3, 2, 3, 2, 0, 2, 2, 3, 2, 0, 0, 4, 1, 0, 3, 2, 4, 2, 0, 4, 4, 3, 1, 4, 1, 0, 1, 1, 1, 2, 2, 3, 2, 0, 2, 2, 4, 0, 3, 4, 2, 2, 0, 4, 3, 0, 1, 1, 2, 3, 0, 0, 4, 0, 3, 4, 3, 3, 4, 2, 3, 4, 1, 0, 2, 0, 3, 1, 2, 0, 0, 1, 2, 1, 3, 4, 2, 4, 3, 0, 4, 2, 3, 0, 2, 4, 3, 0, 1, 3, 4, 0, 2, 3, 3, 4, 3, 1, 4, 2, 0, 3, 2, 4, 1, 1, 1, 3, 2, 3, 4, 1, 2, 3, 2, 4, 0, 1, 2, 1, 4, 3, 3, 0, 0, 4, 2, 4, 0, 1, 0, 1, 1, 1, 0, 4, 1, 2, 4, 0, 0, 2, 0, 3, 1, 1, 3, 1, 3, 1, 1, 2, 1, 3, 4, 3, 0, 3, 0, 3, 3, 0, 0, 2, 2, 4, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 3, 1, 2, 4, 4, 4, 1, 4, 2, 3, 2, 4, 0, 1, 0, 3, 0, 3, 0, 1, 0, 0, 1, 3, 0, 2, 4, 0, 3, 2, 4, 2, 0, 0, 3, 0, 0, 0, 4, 1, 4, 0, 4, 4, 2, 3, 2, 2, 0, 4, 2, 0, 4, 3, 4, 4, 4, 1, 3, 0, 1, 2, 2] pubkeycol654 = [2, 3, 3, 4, 4, 0, 2, 0, 4, 4, 3, 1, 2, 3, 1, 4, 1, 4, 0, 2, 1, 1, 1, 1, 1, 4, 2, 4, 0, 4, 0, 3, 3, 1, 0, 3, 4, 0, 4, 0, 4, 4, 2, 2, 4, 3, 3, 3, 4, 0, 2, 2, 3, 1, 0, 0, 0, 3, 0, 3, 4, 3, 3, 3, 1, 4, 0, 2, 1, 1, 4, 1, 4, 3, 4, 0, 0, 3, 4, 4, 0, 0, 3, 0, 2, 0, 0, 0, 2, 0, 3, 2, 4, 2, 4, 4, 3, 1, 2, 3, 1, 2, 1, 4, 3, 3, 1, 2, 2, 0, 1, 0, 3, 3, 1, 3, 4, 1, 0, 0, 2, 3, 3, 1, 2, 0, 3, 1, 4, 0, 0, 2, 4, 4, 1, 2, 4, 2, 2, 1, 3, 3, 0, 3, 4, 0, 0, 2, 4, 3, 0, 4, 0, 1, 0, 1, 0, 2, 2, 3, 4, 3, 1, 3, 2, 0, 4, 2, 1, 3, 2, 0, 2, 4, 3, 2, 4, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 4, 4, 3, 2, 1, 0, 4, 1, 1, 2, 4, 2, 0, 2, 4, 0, 1, 0, 3, 3, 0, 0, 4, 1, 4, 4, 3, 3, 0, 0, 0, 0, 3, 1, 3, 2, 2, 4, 4, 2, 3, 1, 0, 3, 2, 3, 0, 3, 0, 4, 2, 0, 2, 0, 3, 0, 3, 1, 4, 0, 4, 0, 4, 1, 4, 4, 3, 2, 2, 3, 3, 0, 1, 4, 1, 1, 4, 2, 0, 0, 1, 0, 1, 2, 3, 4, 0, 1, 0, 4, 4, 2, 4, 2, 1, 1, 2, 1, 3, 1, 0, 1, 4, 0, 4, 3, 3, 0, 2, 0, 3, 4, 3, 0, 3, 0, 3, 3, 4, 0, 3, 3, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 4, 3, 4, 2, 4, 0, 3, 2, 0, 4, 2, 4, 3, 2, 1, 4, 3, 3, 2, 2, 2, 2, 4, 1, 3, 1, 0, 2, 4, 1, 4, 0, 4, 0, 3, 1, 2, 0, 1, 1, 4, 3, 3, 0, 2, 2, 1, 1, 4, 1, 0, 2, 1, 2, 2, 1, 4, 3, 1, 1, 0, 1, 3, 3, 0, 0, 1, 0, 1, 2, 3, 2, 3, 3, 3, 2, 2, 0, 3, 2, 0, 1, 0, 0, 0, 0, 0, 3, 3, 1, 0, 1, 2, 0, 0, 4, 1, 0, 1, 1, 4, 4, 3, 0, 0, 2, 3, 0, 4, 4, 3, 2, 4, 2, 0, 2, 1, 3, 0, 0, 1, 0, 4, 2, 1, 2, 2, 3, 1, 4, 3, 3, 1, 1, 2, 1, 1, 2, 4, 1, 2, 2, 4, 2, 1, 1, 0, 4, 4, 4, 2, 3, 4, 3, 0, 3, 4] pubkeycol655 = [1, 0, 0, 2, 3, 0, 2, 2, 4, 2, 2, 2, 0, 2, 4, 2, 4, 0, 1, 3, 1, 2, 1, 0, 3, 0, 1, 4, 2, 0, 1, 0, 1, 3, 1, 1, 2, 4, 3, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 3, 2, 3, 2, 4, 3, 1, 3, 1, 3, 4, 4, 1, 2, 1, 2, 1, 2, 3, 0, 4, 1, 2, 0, 1, 4, 1, 0, 1, 2, 0, 2, 4, 3, 3, 0, 3, 3, 0, 3, 3, 4, 2, 3, 0, 0, 4, 0, 3, 3, 4, 0, 0, 2, 0, 3, 3, 4, 3, 4, 1, 0, 1, 0, 4, 4, 2, 2, 1, 3, 4, 3, 2, 4, 3, 0, 0, 1, 1, 4, 1, 0, 4, 1, 0, 0, 3, 2, 4, 1, 3, 1, 2, 0, 4, 1, 0, 1, 1, 1, 4, 0, 4, 3, 3, 1, 1, 2, 0, 4, 2, 1, 4, 2, 3, 2, 4, 1, 4, 1, 0, 2, 0, 3, 3, 2, 3, 2, 3, 1, 2, 0, 4, 1, 3, 1, 3, 2, 0, 4, 2, 4, 2, 1, 1, 1, 2, 0, 1, 4, 2, 3, 4, 3, 1, 3, 0, 4, 1, 3, 3, 1, 2, 2, 4, 2, 4, 4, 0, 4, 0, 0, 1, 2, 1, 3, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3, 4, 0, 4, 1, 1, 0, 2, 4, 0, 3, 0, 2, 4, 1, 1, 1, 2, 1, 4, 2, 1, 2, 0, 3, 3, 2, 2, 2, 2, 2, 4, 3, 4, 2, 0, 0, 2, 4, 1, 3, 2, 0, 3, 3, 3, 2, 4, 1, 4, 2, 4, 2, 2, 0, 0, 2, 3, 4, 0, 0, 2, 4, 0, 4, 0, 4, 3, 3, 1, 2, 3, 1, 3, 1, 3, 2, 2, 0, 0, 4, 0, 4, 2, 4, 4, 3, 3, 1, 1, 0, 4, 3, 2, 1, 0, 1, 4, 0, 3, 0, 3, 2, 4, 1, 1, 4, 1, 4, 1, 3, 2, 4, 4, 3, 1, 4, 2, 0, 3, 2, 2, 2, 2, 4, 3, 2, 4, 1, 4, 0, 0, 3, 4, 2, 0, 3, 1, 4, 2, 4, 3, 1, 1, 0, 0, 2, 0, 4, 3, 2, 3, 3, 3, 0, 0, 3, 4, 2, 1, 4, 4, 0, 1, 4, 0, 0, 4, 0, 0, 3, 3, 2, 3, 1, 0, 3, 2, 0, 4, 0, 0, 4, 4, 3, 1, 4, 2, 1, 0, 2, 0, 2, 0, 3, 4, 4, 3, 2, 0, 0, 3, 4, 0, 4, 0, 4, 4, 1, 4, 2, 2, 3, 3, 2, 2, 4, 2, 3, 1, 1, 1, 1, 4, 3, 3, 2, 0, 4, 3, 4, 3, 4, 3, 3, 0, 1, 0, 2, 0, 0, 0, 4, 2, 1] pubkeycol656 = [2, 4, 0, 1, 4, 0, 4, 0, 1, 3, 4, 3, 3, 3, 3, 3, 4, 1, 3, 4, 0, 2, 1, 0, 2, 2, 4, 1, 2, 3, 4, 1, 1, 1, 4, 3, 2, 1, 2, 2, 0, 1, 2, 3, 3, 3, 2, 0, 1, 0, 4, 2, 1, 1, 3, 2, 2, 3, 1, 2, 3, 1, 0, 1, 1, 4, 4, 0, 2, 1, 0, 3, 3, 0, 2, 1, 4, 3, 4, 2, 3, 4, 1, 2, 2, 4, 1, 4, 1, 1, 2, 4, 0, 1, 2, 0, 4, 4, 0, 0, 0, 1, 0, 0, 3, 4, 1, 4, 4, 4, 1, 0, 0, 3, 4, 4, 0, 0, 2, 2, 0, 0, 4, 2, 2, 4, 4, 4, 4, 4, 0, 2, 3, 4, 3, 3, 4, 2, 1, 3, 0, 0, 1, 3, 2, 0, 0, 4, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 4, 3, 4, 4, 4, 4, 1, 0, 4, 1, 4, 2, 1, 0, 3, 4, 1, 3, 0, 0, 2, 0, 3, 2, 1, 3, 2, 1, 4, 1, 1, 4, 3, 2, 1, 4, 3, 1, 1, 1, 4, 1, 4, 3, 4, 4, 4, 0, 3, 2, 2, 2, 4, 0, 0, 4, 0, 4, 0, 3, 0, 4, 1, 4, 3, 4, 0, 1, 4, 1, 4, 1, 0, 1, 2, 0, 3, 1, 0, 0, 3, 3, 4, 2, 4, 4, 0, 4, 3, 3, 1, 1, 4, 0, 3, 4, 2, 3, 2, 0, 0, 0, 4, 1, 0, 2, 2, 4, 1, 4, 4, 0, 2, 0, 2, 0, 1, 2, 4, 0, 4, 4, 4, 3, 4, 1, 4, 1, 4, 4, 1, 1, 2, 1, 3, 0, 0, 1, 2, 1, 1, 4, 4, 1, 3, 2, 2, 2, 1, 1, 1, 2, 4, 4, 3, 0, 1, 3, 2, 1, 0, 1, 2, 0, 3, 3, 2, 1, 4, 2, 1, 4, 4, 2, 0, 4, 4, 3, 2, 4, 3, 4, 2, 2, 3, 4, 4, 1, 3, 3, 2, 2, 3, 1, 0, 3, 2, 4, 3, 1, 0, 3, 1, 4, 1, 3, 0, 3, 2, 4, 0, 1, 0, 1, 1, 3, 1, 3, 2, 0, 3, 3, 2, 0, 3, 0, 3, 4, 2, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 4, 2, 0, 3, 1, 2, 4, 2, 1, 4, 3, 1, 3, 0, 0, 4, 1, 3, 0, 0, 4, 2, 3, 3, 3, 3, 3, 2, 3, 3, 0, 0, 2, 3, 0, 3, 4, 4, 4, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 0, 3, 3, 2, 1, 0, 4, 0, 3, 1, 1, 0, 0, 1, 0, 2, 1, 1, 3, 1, 3, 4, 3, 2, 3, 2, 3, 0, 3, 3, 1] pubkeycol657 = [4, 2, 4, 0, 3, 0, 2, 1, 0, 3, 4, 4, 4, 4, 0, 0, 3, 1, 2, 4, 4, 2, 1, 0, 4, 0, 3, 1, 2, 0, 4, 0, 2, 4, 0, 2, 3, 2, 1, 3, 0, 1, 2, 0, 2, 2, 4, 4, 2, 4, 0, 0, 1, 0, 4, 0, 1, 0, 2, 0, 3, 2, 3, 0, 1, 3, 3, 0, 0, 3, 1, 0, 0, 3, 4, 1, 1, 3, 2, 2, 0, 2, 2, 1, 0, 1, 1, 4, 1, 3, 1, 2, 1, 0, 4, 0, 1, 3, 4, 1, 3, 0, 2, 1, 2, 3, 1, 0, 3, 0, 2, 2, 3, 1, 1, 3, 4, 4, 0, 1, 1, 3, 4, 2, 2, 4, 3, 1, 4, 1, 1, 3, 1, 2, 0, 2, 4, 4, 2, 4, 0, 3, 2, 0, 4, 4, 1, 0, 4, 2, 3, 3, 3, 3, 3, 4, 1, 1, 1, 3, 4, 2, 3, 3, 3, 3, 0, 1, 1, 2, 0, 1, 3, 2, 4, 2, 1, 3, 4, 4, 1, 0, 2, 3, 0, 4, 3, 3, 1, 2, 0, 0, 2, 4, 2, 0, 4, 2, 4, 2, 3, 1, 3, 1, 1, 2, 2, 2, 1, 1, 4, 4, 1, 0, 3, 2, 0, 1, 1, 0, 2, 1, 3, 0, 1, 0, 4, 2, 2, 3, 0, 0, 4, 2, 1, 3, 3, 3, 4, 1, 0, 4, 1, 3, 4, 3, 1, 3, 0, 0, 0, 3, 3, 3, 4, 1, 3, 1, 0, 1, 2, 3, 2, 4, 3, 2, 1, 2, 0, 2, 0, 2, 2, 0, 4, 2, 1, 1, 3, 3, 0, 3, 0, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 3, 1, 4, 1, 4, 1, 3, 1, 3, 0, 3, 1, 1, 2, 1, 3, 4, 1, 4, 4, 4, 3, 0, 0, 0, 4, 3, 4, 0, 0, 0, 4, 0, 3, 1, 0, 3, 2, 2, 3, 3, 3, 1, 0, 3, 3, 2, 0, 2, 4, 1, 4, 3, 1, 1, 4, 2, 4, 0, 3, 4, 2, 3, 2, 3, 3, 4, 0, 0, 1, 3, 1, 3, 3, 2, 4, 4, 4, 2, 2, 0, 4, 1, 2, 3, 2, 3, 3, 0, 3, 1, 0, 4, 3, 2, 2, 3, 4, 1, 3, 2, 1, 0, 1, 1, 1, 4, 1, 1, 2, 0, 0, 2, 2, 4, 2, 1, 4, 1, 4, 3, 0, 2, 4, 0, 2, 4, 3, 3, 4, 3, 3, 4, 2, 1, 1, 4, 4, 0, 0, 3, 0, 4, 0, 4, 3, 4, 2, 2, 0, 1, 1, 0, 2, 0, 0, 4, 3, 1, 1, 4, 4, 2, 1, 4, 2, 3, 0, 3, 1, 4, 3, 1, 2, 3, 1, 1, 4, 1, 2, 2, 1, 3, 4, 3] pubkeycol658 = [1, 3, 2, 0, 4, 3, 1, 4, 4, 4, 3, 1, 0, 4, 2, 2, 4, 4, 1, 1, 3, 3, 4, 1, 3, 3, 4, 0, 3, 1, 4, 1, 2, 3, 3, 2, 4, 1, 1, 4, 1, 0, 4, 2, 4, 3, 0, 4, 3, 4, 3, 3, 1, 1, 2, 3, 1, 4, 0, 4, 4, 3, 0, 0, 0, 4, 2, 3, 0, 1, 4, 0, 0, 0, 2, 4, 1, 2, 4, 4, 0, 4, 3, 0, 4, 0, 1, 1, 0, 4, 0, 4, 4, 2, 0, 2, 0, 3, 0, 0, 3, 2, 2, 4, 1, 2, 0, 2, 3, 4, 0, 2, 2, 2, 1, 4, 2, 1, 3, 1, 0, 4, 2, 0, 4, 3, 0, 1, 1, 0, 4, 0, 0, 2, 1, 0, 0, 0, 2, 0, 3, 1, 1, 0, 0, 3, 1, 2, 4, 0, 3, 0, 0, 4, 4, 4, 2, 0, 4, 4, 4, 2, 2, 4, 0, 4, 1, 0, 2, 2, 1, 2, 4, 1, 2, 1, 1, 2, 1, 4, 2, 2, 2, 2, 2, 3, 3, 0, 0, 3, 1, 2, 0, 2, 4, 4, 2, 4, 3, 1, 0, 1, 1, 0, 3, 0, 4, 4, 1, 0, 2, 1, 3, 4, 4, 2, 4, 1, 4, 2, 2, 0, 3, 1, 0, 4, 1, 4, 3, 4, 0, 3, 4, 3, 1, 2, 2, 0, 2, 0, 1, 1, 3, 0, 3, 0, 4, 0, 3, 0, 4, 0, 3, 1, 2, 0, 0, 4, 4, 3, 2, 1, 3, 4, 2, 0, 1, 0, 4, 3, 1, 2, 3, 2, 3, 2, 0, 2, 3, 2, 0, 4, 3, 3, 2, 2, 1, 1, 4, 0, 0, 2, 0, 3, 4, 2, 4, 2, 0, 0, 0, 4, 1, 0, 1, 3, 4, 0, 3, 3, 4, 1, 2, 1, 1, 4, 3, 4, 3, 0, 4, 4, 1, 3, 2, 4, 2, 0, 4, 0, 2, 0, 4, 4, 3, 1, 1, 1, 4, 3, 2, 1, 2, 4, 4, 0, 4, 3, 2, 0, 0, 1, 2, 0, 0, 3, 1, 4, 0, 2, 4, 2, 2, 3, 1, 4, 4, 3, 3, 3, 1, 2, 1, 1, 3, 1, 3, 1, 2, 2, 2, 3, 1, 2, 4, 4, 0, 2, 2, 1, 4, 0, 4, 2, 3, 3, 4, 2, 4, 0, 4, 3, 2, 1, 0, 3, 4, 4, 4, 3, 3, 3, 4, 0, 2, 1, 3, 2, 3, 3, 3, 3, 1, 1, 1, 2, 0, 4, 0, 2, 2, 1, 1, 2, 1, 1, 3, 3, 4, 1, 0, 3, 0, 3, 3, 3, 0, 4, 0, 1, 1, 2, 2, 1, 4, 1, 1, 3, 0, 4, 3, 3, 1, 4, 0, 4, 3, 3, 3, 4, 1, 1, 1, 4, 2, 1, 4, 4, 3, 2] pubkeycol659 = [4, 1, 4, 2, 3, 3, 3, 1, 2, 3, 0, 4, 1, 0, 1, 4, 1, 0, 3, 3, 4, 2, 2, 1, 2, 1, 1, 4, 4, 3, 2, 3, 4, 4, 3, 3, 0, 4, 1, 4, 1, 4, 0, 3, 1, 2, 3, 1, 1, 2, 1, 1, 3, 0, 2, 3, 4, 2, 3, 2, 1, 1, 4, 1, 0, 1, 0, 1, 3, 2, 1, 1, 3, 2, 3, 3, 4, 0, 1, 4, 0, 1, 2, 3, 3, 0, 0, 3, 2, 0, 2, 1, 1, 4, 4, 0, 4, 1, 1, 0, 0, 3, 4, 0, 1, 4, 0, 2, 0, 4, 1, 0, 2, 3, 4, 3, 3, 0, 3, 0, 1, 1, 3, 1, 2, 3, 3, 4, 2, 2, 0, 0, 1, 4, 0, 0, 2, 0, 3, 3, 1, 3, 4, 1, 4, 0, 3, 2, 0, 2, 4, 0, 0, 4, 1, 1, 2, 3, 2, 2, 2, 4, 1, 3, 4, 4, 3, 4, 3, 3, 4, 3, 1, 3, 4, 1, 0, 0, 0, 4, 2, 3, 3, 0, 1, 1, 0, 2, 2, 2, 4, 2, 4, 0, 2, 2, 2, 3, 2, 2, 3, 2, 0, 4, 1, 2, 1, 4, 0, 4, 4, 3, 2, 0, 1, 2, 1, 3, 2, 0, 3, 1, 4, 4, 1, 1, 3, 4, 2, 1, 2, 3, 2, 4, 3, 4, 1, 0, 2, 1, 3, 0, 0, 1, 4, 4, 2, 2, 1, 3, 2, 3, 4, 4, 3, 2, 2, 1, 2, 1, 3, 1, 1, 1, 3, 0, 2, 4, 0, 2, 4, 2, 3, 0, 1, 0, 0, 4, 3, 4, 4, 1, 0, 2, 3, 4, 0, 0, 2, 2, 3, 0, 3, 3, 3, 3, 0, 3, 3, 2, 3, 2, 4, 2, 0, 3, 1, 1, 0, 4, 1, 1, 4, 3, 2, 3, 3, 3, 2, 0, 0, 1, 3, 0, 2, 3, 4, 2, 1, 3, 0, 1, 2, 1, 4, 4, 3, 4, 1, 1, 1, 3, 2, 1, 4, 3, 0, 3, 4, 4, 1, 2, 2, 1, 2, 1, 0, 4, 4, 2, 1, 4, 4, 2, 3, 1, 4, 2, 1, 4, 1, 2, 4, 3, 1, 1, 1, 3, 4, 0, 2, 4, 1, 4, 4, 4, 1, 2, 3, 3, 3, 0, 0, 1, 1, 0, 0, 1, 1, 0, 3, 4, 3, 0, 3, 1, 0, 3, 4, 1, 1, 4, 0, 3, 2, 1, 0, 3, 0, 2, 3, 1, 1, 3, 3, 0, 2, 3, 1, 2, 0, 0, 0, 1, 1, 2, 3, 3, 1, 1, 4, 3, 0, 2, 3, 1, 3, 2, 3, 1, 0, 2, 2, 2, 3, 0, 0, 0, 4, 0, 4, 2, 2, 3, 1, 0, 3, 1, 3, 3, 0, 1, 3, 3, 3, 2, 0, 0, 3, 0] pubkeycol660 = [0, 0, 1, 3, 4, 4, 4, 1, 0, 4, 3, 4, 4, 0, 2, 0, 4, 1, 1, 4, 2, 1, 1, 1, 0, 2, 3, 0, 1, 4, 1, 3, 2, 4, 3, 4, 1, 4, 0, 3, 0, 0, 4, 1, 2, 4, 3, 3, 2, 1, 4, 3, 0, 2, 3, 3, 2, 3, 1, 0, 4, 1, 2, 3, 2, 2, 4, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 4, 0, 4, 2, 0, 3, 0, 4, 1, 1, 2, 2, 0, 3, 4, 2, 3, 4, 4, 0, 2, 3, 1, 3, 2, 3, 4, 1, 1, 2, 2, 4, 1, 0, 3, 1, 4, 3, 0, 0, 2, 4, 4, 3, 3, 4, 1, 4, 0, 1, 0, 3, 0, 0, 4, 4, 3, 0, 1, 3, 1, 4, 3, 0, 0, 4, 0, 2, 1, 2, 0, 0, 0, 1, 3, 1, 4, 1, 4, 4, 4, 3, 1, 1, 1, 0, 3, 4, 4, 2, 3, 0, 4, 0, 0, 3, 0, 1, 3, 1, 4, 0, 1, 2, 0, 0, 2, 3, 4, 4, 1, 2, 4, 4, 1, 0, 4, 4, 2, 1, 0, 2, 1, 1, 0, 4, 1, 1, 3, 2, 3, 1, 3, 3, 1, 2, 0, 2, 0, 2, 2, 4, 4, 4, 1, 2, 2, 3, 1, 2, 1, 4, 0, 1, 0, 2, 1, 2, 4, 2, 0, 2, 0, 0, 1, 4, 1, 0, 1, 1, 4, 4, 3, 4, 2, 1, 3, 3, 0, 1, 0, 4, 4, 1, 3, 2, 1, 2, 3, 2, 2, 4, 0, 1, 3, 2, 4, 3, 3, 1, 4, 2, 2, 0, 2, 3, 2, 3, 2, 4, 2, 4, 1, 0, 2, 4, 1, 3, 4, 4, 0, 4, 1, 3, 0, 3, 3, 4, 3, 3, 2, 0, 2, 4, 1, 0, 2, 2, 4, 1, 2, 0, 4, 3, 1, 4, 0, 0, 4, 4, 3, 4, 1, 2, 3, 2, 2, 3, 2, 1, 2, 0, 3, 3, 4, 3, 4, 0, 0, 3, 1, 0, 0, 2, 1, 0, 0, 4, 2, 3, 2, 1, 0, 3, 0, 3, 4, 2, 1, 4, 3, 0, 2, 4, 3, 3, 0, 3, 1, 1, 2, 1, 0, 4, 4, 1, 0, 2, 2, 2, 3, 1, 1, 3, 1, 1, 2, 4, 1, 2, 1, 0, 4, 0, 1, 2, 3, 2, 4, 2, 3, 1, 2, 2, 0, 2, 2, 3, 0, 2, 2, 2, 3, 4, 1, 3, 2, 0, 0, 2, 1, 4, 1, 2, 0, 3, 0, 3, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 4, 2, 0, 1, 2, 3, 2, 0, 1, 4, 0, 4, 1, 2, 4, 3, 1, 3, 0, 3, 0, 0, 1, 4, 3, 1, 4, 3, 2, 1, 1] pubkeycol661 = [3, 3, 1, 1, 2, 0, 0, 3, 0, 1, 2, 3, 4, 0, 2, 0, 2, 0, 4, 2, 1, 1, 0, 1, 4, 1, 3, 4, 0, 2, 0, 2, 0, 2, 1, 4, 4, 3, 1, 1, 1, 0, 3, 2, 1, 0, 3, 4, 2, 4, 2, 4, 2, 2, 0, 3, 4, 3, 4, 4, 2, 3, 2, 3, 4, 4, 0, 3, 2, 0, 4, 1, 2, 4, 0, 3, 4, 0, 2, 2, 1, 0, 2, 2, 3, 0, 1, 2, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 4, 1, 1, 0, 3, 0, 4, 0, 1, 3, 4, 0, 4, 4, 1, 4, 0, 3, 1, 1, 2, 0, 1, 1, 4, 2, 0, 2, 1, 2, 0, 0, 4, 1, 0, 2, 0, 4, 4, 1, 2, 4, 4, 0, 0, 1, 4, 3, 1, 3, 4, 4, 0, 2, 3, 4, 2, 0, 2, 3, 2, 0, 2, 1, 4, 3, 0, 2, 2, 4, 0, 3, 2, 3, 2, 2, 4, 3, 3, 2, 2, 0, 2, 0, 3, 3, 4, 0, 0, 0, 3, 4, 1, 0, 2, 2, 3, 3, 3, 1, 0, 3, 4, 2, 4, 1, 0, 3, 4, 2, 4, 1, 0, 2, 0, 2, 4, 0, 0, 2, 1, 3, 2, 3, 4, 3, 0, 0, 1, 2, 1, 2, 3, 2, 1, 0, 4, 0, 1, 0, 2, 0, 2, 4, 0, 3, 4, 4, 0, 2, 2, 4, 0, 2, 4, 1, 3, 1, 3, 4, 1, 2, 4, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 3, 2, 0, 4, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 3, 0, 1, 1, 1, 4, 3, 1, 0, 1, 3, 2, 3, 2, 3, 3, 1, 3, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 4, 4, 0, 4, 4, 0, 0, 0, 2, 3, 1, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 3, 4, 0, 0, 1, 1, 3, 0, 4, 1, 3, 1, 0, 2, 2, 2, 2, 1, 4, 0, 2, 1, 0, 4, 1, 3, 4, 1, 2, 2, 0, 0, 2, 3, 3, 4, 4, 2, 0, 2, 2, 3, 2, 1, 0, 3, 0, 2, 1, 0, 2, 3, 1, 2, 3, 0, 3, 0, 1, 3, 2, 0, 3, 0, 3, 0, 1, 1, 2, 4, 0, 3, 4, 2, 3, 3, 3, 2, 1, 3, 2, 4, 0, 3, 2, 3, 3, 4, 3, 2, 2, 2, 3, 3, 2, 1, 1, 0, 4, 0, 3, 4, 2, 4, 0, 1, 0, 4, 0, 1, 3, 0, 3, 0, 0, 2, 3, 4, 4, 4, 0, 1, 2, 2, 3, 1, 4, 4, 4, 2, 1, 4, 1, 4, 2, 0, 0, 2, 1, 1] pubkeycol662 = [0, 2, 3, 3, 2, 1, 0, 4, 4, 4, 0, 2, 0, 2, 3, 3, 2, 4, 2, 1, 2, 0, 1, 3, 1, 3, 4, 4, 3, 4, 1, 3, 2, 4, 4, 2, 4, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 4, 4, 4, 4, 0, 0, 4, 4, 1, 4, 1, 0, 3, 3, 2, 1, 3, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 3, 0, 3, 1, 2, 0, 3, 2, 3, 0, 1, 1, 1, 0, 1, 2, 4, 0, 2, 4, 1, 3, 1, 4, 3, 0, 4, 0, 4, 0, 2, 1, 2, 4, 2, 3, 2, 2, 3, 0, 0, 0, 3, 1, 1, 3, 3, 3, 2, 1, 2, 2, 4, 1, 3, 1, 0, 4, 1, 4, 4, 0, 2, 0, 1, 1, 0, 0, 4, 3, 0, 2, 0, 1, 1, 2, 3, 3, 0, 0, 3, 4, 2, 2, 1, 3, 1, 2, 3, 4, 4, 3, 0, 4, 4, 2, 2, 4, 1, 3, 0, 4, 2, 1, 0, 2, 4, 1, 1, 2, 1, 1, 4, 0, 3, 3, 2, 2, 1, 3, 2, 4, 4, 2, 4, 4, 0, 1, 2, 4, 0, 4, 0, 2, 3, 4, 0, 3, 1, 2, 1, 0, 4, 2, 4, 2, 0, 2, 3, 2, 2, 2, 0, 2, 4, 4, 3, 1, 0, 3, 2, 2, 2, 4, 1, 3, 0, 2, 1, 4, 1, 0, 2, 0, 4, 1, 3, 0, 0, 1, 4, 1, 1, 3, 0, 3, 0, 1, 1, 3, 0, 2, 1, 0, 1, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 4, 1, 0, 3, 4, 2, 3, 1, 1, 1, 4, 1, 1, 0, 4, 1, 4, 1, 2, 3, 2, 3, 3, 3, 0, 4, 1, 2, 1, 3, 4, 0, 1, 0, 2, 4, 3, 3, 0, 2, 4, 1, 4, 0, 2, 3, 1, 4, 3, 0, 1, 2, 2, 0, 0, 2, 2, 4, 1, 1, 4, 3, 1, 2, 0, 4, 0, 0, 2, 1, 3, 0, 0, 2, 0, 3, 4, 0, 0, 0, 3, 4, 3, 1, 1, 3, 3, 0, 0, 0, 3, 3, 0, 1, 2, 4, 0, 3, 4, 4, 3, 2, 1, 4, 1, 0, 2, 2, 0, 1, 1, 2, 3, 3, 3, 3, 2, 2, 1, 0, 2, 0, 4, 4, 2, 0, 1, 0, 3, 2, 0, 1, 4, 2, 3, 3, 4, 0, 4, 2, 1, 0, 2, 2, 1, 3, 0, 4, 4, 2, 2, 3, 3, 4, 0, 1, 0, 0, 1, 4, 2, 1, 2, 4, 0, 2, 4, 3, 4, 3, 2, 4, 4, 4, 4, 2, 4, 2, 0, 4, 1, 1, 0, 1, 3, 1, 4, 1, 2, 4, 4, 3, 1, 1, 2, 4, 2, 0, 1, 3] pubkeycol663 = [3, 0, 0, 2, 2, 0, 1, 1, 4, 3, 2, 0, 4, 1, 0, 1, 0, 0, 0, 4, 1, 2, 3, 1, 0, 3, 4, 3, 1, 1, 0, 2, 3, 0, 1, 0, 3, 0, 0, 3, 1, 2, 0, 0, 3, 2, 3, 0, 0, 2, 0, 4, 1, 4, 3, 4, 3, 4, 1, 2, 2, 3, 4, 2, 3, 0, 0, 3, 1, 4, 1, 1, 3, 2, 1, 2, 2, 2, 3, 3, 2, 0, 0, 4, 3, 4, 1, 0, 1, 1, 0, 4, 4, 0, 1, 1, 4, 4, 1, 3, 1, 3, 0, 4, 3, 3, 0, 2, 2, 2, 2, 4, 2, 3, 1, 0, 4, 0, 3, 4, 4, 2, 3, 3, 2, 0, 1, 2, 0, 2, 3, 4, 4, 1, 4, 1, 4, 4, 3, 0, 4, 1, 3, 0, 0, 2, 1, 1, 3, 0, 1, 3, 1, 0, 2, 3, 1, 1, 1, 1, 1, 2, 1, 0, 4, 4, 0, 0, 1, 0, 0, 3, 0, 2, 1, 4, 2, 3, 4, 4, 1, 1, 4, 1, 0, 3, 4, 4, 4, 0, 4, 2, 4, 4, 0, 1, 0, 4, 2, 4, 1, 2, 1, 2, 3, 4, 4, 2, 3, 3, 1, 3, 0, 3, 1, 0, 1, 2, 0, 1, 1, 1, 4, 4, 2, 1, 4, 4, 1, 3, 4, 4, 1, 3, 0, 1, 2, 3, 1, 3, 3, 4, 2, 4, 4, 1, 0, 2, 3, 1, 3, 1, 3, 3, 4, 2, 4, 0, 0, 1, 2, 2, 2, 0, 2, 3, 4, 3, 2, 4, 2, 1, 0, 3, 3, 3, 4, 0, 3, 4, 3, 2, 2, 2, 3, 1, 2, 3, 0, 1, 2, 4, 1, 4, 1, 2, 4, 2, 3, 2, 2, 4, 2, 1, 1, 0, 0, 2, 4, 0, 4, 0, 4, 4, 0, 3, 3, 4, 0, 2, 1, 0, 3, 1, 2, 0, 1, 0, 2, 2, 1, 0, 4, 1, 3, 1, 3, 3, 1, 3, 4, 2, 3, 2, 1, 3, 3, 3, 1, 3, 3, 1, 4, 1, 3, 1, 3, 0, 0, 2, 2, 2, 0, 4, 3, 2, 0, 4, 2, 2, 2, 4, 2, 2, 0, 3, 1, 1, 0, 3, 3, 1, 2, 0, 0, 4, 2, 3, 1, 2, 0, 3, 4, 0, 0, 2, 1, 3, 4, 1, 2, 3, 3, 4, 0, 1, 0, 1, 4, 1, 1, 2, 1, 1, 0, 4, 1, 3, 0, 2, 0, 2, 3, 0, 0, 2, 2, 1, 0, 2, 4, 3, 2, 0, 1, 2, 1, 0, 3, 1, 4, 3, 1, 1, 1, 2, 2, 1, 1, 1, 4, 3, 1, 0, 1, 3, 1, 4, 1, 0, 0, 2, 0, 2, 2, 1, 2, 3, 4, 2, 4, 3, 4, 2, 3, 1, 3, 0, 3, 3] pubkeycol664 = [0, 2, 2, 2, 2, 4, 2, 0, 0, 4, 0, 0, 2, 4, 3, 1, 2, 4, 1, 4, 1, 3, 1, 2, 0, 0, 0, 4, 4, 4, 4, 1, 4, 1, 1, 0, 0, 1, 3, 3, 1, 2, 4, 4, 0, 0, 2, 3, 2, 2, 3, 4, 0, 1, 1, 3, 2, 4, 2, 0, 0, 3, 1, 0, 1, 1, 4, 4, 2, 4, 0, 0, 0, 1, 4, 2, 0, 3, 2, 4, 0, 0, 3, 1, 1, 4, 1, 3, 1, 4, 2, 4, 3, 3, 2, 4, 3, 1, 0, 0, 2, 3, 2, 3, 1, 2, 0, 1, 4, 0, 1, 3, 3, 3, 3, 0, 3, 1, 0, 4, 0, 2, 1, 1, 4, 3, 3, 3, 4, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 4, 0, 2, 3, 4, 3, 0, 3, 0, 4, 3, 3, 4, 2, 4, 4, 1, 3, 3, 3, 0, 1, 2, 1, 4, 1, 0, 3, 4, 1, 1, 4, 3, 1, 1, 2, 3, 2, 3, 4, 2, 3, 0, 2, 1, 3, 1, 2, 2, 1, 1, 2, 2, 1, 0, 4, 0, 1, 4, 4, 1, 3, 3, 1, 4, 0, 0, 1, 0, 2, 4, 3, 3, 2, 2, 1, 3, 3, 1, 1, 0, 3, 2, 0, 1, 2, 2, 4, 0, 1, 0, 3, 3, 1, 0, 4, 0, 2, 3, 2, 4, 3, 3, 2, 2, 1, 4, 4, 3, 4, 2, 0, 1, 0, 4, 2, 4, 3, 4, 0, 1, 4, 4, 1, 1, 2, 1, 2, 1, 0, 4, 2, 4, 3, 2, 3, 2, 1, 3, 3, 0, 2, 3, 0, 1, 0, 1, 4, 0, 4, 3, 2, 2, 1, 4, 0, 3, 4, 2, 2, 0, 3, 3, 2, 4, 1, 2, 3, 2, 3, 0, 1, 0, 4, 4, 1, 2, 2, 0, 4, 3, 3, 2, 1, 3, 1, 4, 1, 4, 4, 4, 0, 1, 0, 2, 4, 4, 4, 1, 2, 3, 4, 4, 0, 3, 1, 0, 2, 1, 0, 4, 4, 4, 4, 3, 4, 0, 1, 0, 1, 1, 0, 2, 3, 3, 1, 1, 2, 2, 1, 3, 1, 4, 2, 1, 2, 2, 4, 3, 4, 0, 1, 2, 0, 2, 1, 2, 3, 3, 3, 4, 0, 0, 1, 2, 3, 2, 4, 0, 1, 2, 1, 1, 1, 0, 1, 2, 3, 3, 2, 3, 4, 2, 0, 4, 0, 1, 4, 0, 2, 2, 4, 1, 4, 0, 4, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 4, 4, 4, 0, 0, 2, 0, 1, 0, 0, 1, 1, 3, 2, 1, 2, 0, 4, 3, 1, 2, 4, 0, 3, 4, 2, 1, 4, 0, 2, 2, 4, 2, 2, 0, 0, 1, 2, 0, 3, 4, 4, 4, 3] pubkeycol665 = [2, 2, 0, 4, 2, 4, 4, 4, 4, 4, 1, 0, 0, 2, 1, 2, 2, 4, 3, 3, 4, 0, 1, 3, 0, 4, 2, 3, 1, 1, 0, 4, 3, 2, 3, 4, 3, 3, 3, 4, 4, 1, 2, 3, 2, 4, 2, 2, 3, 3, 3, 3, 1, 0, 2, 0, 3, 0, 0, 3, 1, 3, 1, 3, 0, 0, 2, 2, 4, 4, 3, 4, 4, 3, 4, 0, 2, 2, 4, 3, 0, 3, 3, 4, 2, 4, 2, 1, 4, 1, 3, 0, 4, 1, 2, 2, 2, 2, 0, 1, 0, 3, 3, 1, 1, 0, 0, 3, 4, 1, 1, 3, 1, 0, 3, 4, 0, 0, 4, 4, 4, 1, 2, 1, 4, 4, 0, 1, 4, 0, 4, 0, 2, 0, 3, 2, 3, 0, 3, 3, 1, 3, 2, 3, 3, 4, 2, 2, 0, 4, 0, 2, 4, 0, 4, 2, 2, 0, 2, 3, 2, 3, 0, 0, 4, 3, 2, 4, 2, 1, 1, 0, 3, 3, 3, 0, 0, 4, 1, 2, 4, 1, 3, 1, 1, 2, 0, 0, 3, 1, 1, 4, 3, 2, 2, 1, 3, 1, 4, 4, 1, 3, 0, 4, 4, 3, 0, 0, 3, 4, 4, 1, 2, 3, 4, 0, 3, 0, 1, 3, 0, 0, 0, 0, 4, 2, 1, 0, 4, 4, 2, 3, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 3, 0, 0, 2, 4, 4, 1, 0, 2, 3, 0, 4, 4, 2, 4, 3, 2, 1, 0, 2, 2, 4, 2, 2, 2, 0, 0, 2, 1, 2, 4, 1, 3, 4, 2, 3, 0, 0, 3, 4, 4, 3, 1, 4, 2, 1, 1, 4, 4, 2, 2, 3, 2, 3, 4, 0, 3, 4, 1, 4, 2, 0, 3, 3, 2, 1, 2, 3, 1, 1, 4, 1, 3, 4, 0, 3, 4, 2, 3, 3, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 3, 0, 4, 0, 1, 2, 0, 0, 0, 4, 0, 3, 2, 4, 3, 3, 2, 4, 2, 4, 4, 3, 2, 2, 2, 4, 3, 2, 3, 1, 3, 0, 1, 1, 2, 4, 0, 0, 3, 2, 0, 0, 4, 4, 0, 4, 1, 3, 1, 0, 3, 2, 4, 1, 4, 3, 2, 2, 0, 2, 0, 0, 3, 1, 4, 3, 4, 4, 3, 3, 4, 3, 2, 1, 0, 2, 1, 4, 1, 2, 1, 2, 4, 4, 2, 2, 3, 2, 3, 2, 3, 3, 2, 3, 4, 3, 0, 2, 3, 4, 3, 2, 4, 2, 1, 0, 0, 2, 4, 2, 4, 1, 2, 1, 0, 1, 3, 1, 3, 1, 1, 3, 0, 2, 3, 1, 1, 3, 4, 1, 0, 4, 3, 0, 0, 1, 2, 2, 0, 3, 0, 2, 4, 1, 0, 1] pubkeycol666 = [1, 1, 4, 0, 3, 3, 2, 0, 1, 2, 1, 3, 3, 1, 4, 4, 2, 0, 3, 3, 3, 2, 1, 0, 2, 1, 2, 3, 0, 0, 2, 0, 0, 4, 1, 0, 2, 2, 3, 0, 2, 2, 1, 0, 1, 2, 3, 4, 0, 3, 4, 4, 2, 0, 0, 3, 1, 1, 4, 1, 4, 2, 0, 3, 2, 3, 0, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 4, 2, 1, 4, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 3, 1, 4, 3, 2, 0, 3, 4, 2, 4, 4, 3, 1, 0, 4, 3, 2, 4, 4, 3, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 2, 3, 0, 3, 3, 0, 0, 0, 1, 3, 4, 4, 1, 4, 3, 2, 0, 2, 2, 0, 2, 2, 2, 3, 1, 1, 4, 2, 1, 0, 3, 4, 2, 0, 1, 1, 1, 3, 0, 4, 2, 0, 0, 3, 3, 2, 0, 3, 0, 4, 3, 0, 1, 1, 2, 3, 4, 4, 3, 4, 1, 1, 4, 2, 4, 2, 0, 4, 0, 4, 3, 1, 2, 4, 1, 3, 0, 3, 1, 2, 0, 2, 3, 0, 2, 1, 4, 0, 1, 4, 3, 3, 3, 0, 3, 0, 2, 4, 4, 3, 0, 4, 2, 0, 3, 2, 1, 3, 4, 1, 0, 2, 0, 0, 4, 1, 3, 3, 2, 1, 3, 3, 1, 1, 3, 0, 1, 4, 3, 0, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 2, 4, 3, 4, 1, 4, 0, 4, 2, 0, 1, 3, 0, 2, 2, 0, 2, 2, 1, 3, 3, 4, 3, 1, 3, 2, 1, 1, 0, 4, 4, 4, 1, 0, 3, 0, 0, 0, 4, 1, 0, 1, 3, 4, 0, 4, 2, 1, 1, 3, 1, 4, 3, 2, 3, 1, 1, 3, 0, 2, 0, 3, 0, 3, 0, 0, 2, 3, 2, 0, 4, 4, 0, 0, 2, 0, 4, 1, 3, 3, 3, 4, 0, 3, 4, 0, 0, 2, 2, 0, 1, 4, 4, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 4, 0, 3, 3, 0, 4, 1, 1, 3, 1, 2, 1, 1, 3, 2, 0, 0, 3, 1, 2, 3, 2, 0, 3, 1, 1, 1, 3, 1, 1, 4, 3, 0, 2, 4, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 3, 0, 4, 3, 2, 3, 2, 2, 2, 4, 0, 3, 3, 4, 2, 4, 3, 2, 2, 1, 2, 0, 1, 1, 4, 0, 0, 1, 1, 4, 2, 0, 4, 4, 4, 0, 2, 1, 3, 3, 4, 1, 0, 1, 4, 3, 0, 3, 4, 0, 1, 1, 1, 3, 2, 2, 4, 4, 1, 2, 0, 2, 4, 3, 0] pubkeycol667 = [3, 1, 4, 3, 2, 4, 0, 4, 4, 3, 1, 2, 4, 3, 4, 4, 2, 1, 1, 2, 2, 2, 3, 0, 2, 1, 3, 0, 1, 1, 0, 0, 2, 0, 4, 2, 3, 4, 2, 1, 1, 1, 1, 0, 2, 0, 4, 3, 4, 1, 1, 0, 4, 1, 0, 1, 4, 3, 3, 4, 0, 1, 4, 4, 2, 1, 0, 4, 4, 2, 3, 2, 2, 1, 0, 4, 4, 3, 2, 1, 2, 0, 4, 4, 3, 0, 2, 0, 3, 1, 1, 2, 2, 4, 1, 2, 1, 1, 2, 3, 0, 2, 4, 1, 0, 1, 3, 0, 3, 2, 2, 0, 4, 4, 4, 2, 0, 0, 0, 0, 1, 3, 4, 0, 3, 3, 0, 2, 0, 1, 0, 0, 3, 0, 1, 2, 1, 4, 0, 3, 1, 4, 1, 0, 4, 0, 4, 3, 0, 2, 4, 1, 1, 3, 1, 1, 1, 0, 2, 0, 4, 0, 3, 0, 3, 1, 2, 4, 2, 2, 3, 0, 0, 4, 4, 0, 3, 3, 4, 0, 4, 3, 4, 4, 1, 2, 0, 3, 2, 2, 0, 1, 3, 3, 0, 0, 2, 1, 4, 0, 4, 3, 1, 3, 1, 1, 2, 4, 0, 3, 3, 4, 1, 1, 3, 0, 1, 1, 4, 3, 3, 4, 3, 3, 3, 4, 4, 2, 0, 0, 2, 1, 0, 3, 0, 1, 4, 4, 0, 0, 1, 2, 2, 4, 1, 2, 0, 4, 0, 0, 1, 4, 2, 0, 1, 1, 3, 2, 0, 4, 4, 0, 4, 3, 4, 2, 0, 1, 0, 3, 0, 3, 3, 2, 4, 0, 4, 4, 4, 2, 1, 4, 2, 4, 4, 1, 0, 1, 1, 3, 4, 3, 4, 2, 2, 4, 3, 4, 0, 4, 3, 1, 4, 2, 1, 2, 3, 0, 4, 4, 0, 2, 4, 4, 0, 2, 3, 1, 3, 3, 1, 2, 4, 0, 3, 4, 3, 4, 3, 1, 0, 2, 1, 0, 1, 3, 0, 0, 4, 3, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 4, 0, 0, 1, 2, 2, 0, 4, 0, 1, 3, 4, 4, 3, 0, 1, 0, 0, 2, 3, 1, 0, 4, 2, 1, 4, 2, 4, 0, 3, 3, 0, 0, 4, 0, 4, 0, 0, 3, 3, 4, 3, 4, 4, 1, 3, 2, 2, 1, 4, 2, 4, 0, 1, 0, 1, 3, 2, 0, 2, 0, 1, 3, 0, 2, 1, 3, 2, 0, 2, 4, 4, 3, 1, 1, 0, 2, 3, 4, 4, 4, 4, 2, 2, 0, 4, 3, 1, 4, 3, 4, 0, 0, 3, 4, 4, 0, 2, 2, 2, 3, 3, 0, 0, 0, 3, 2, 1, 4, 2, 2, 1, 4, 1, 4, 0, 2, 3, 2, 1, 4, 3, 1, 0, 2, 4, 2, 1, 2, 3] pubkeycol668 = [3, 4, 0, 0, 1, 2, 4, 3, 3, 3, 4, 3, 4, 2, 2, 1, 1, 1, 2, 2, 0, 0, 3, 1, 4, 3, 1, 2, 2, 1, 0, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 1, 1, 0, 0, 2, 4, 2, 4, 0, 4, 2, 2, 0, 4, 4, 0, 3, 3, 4, 3, 4, 0, 4, 0, 3, 4, 4, 4, 4, 1, 2, 3, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 3, 0, 1, 3, 1, 4, 4, 3, 3, 4, 0, 4, 1, 2, 1, 4, 2, 3, 2, 1, 3, 2, 2, 0, 4, 3, 2, 0, 4, 2, 0, 3, 4, 3, 4, 4, 3, 0, 4, 2, 0, 2, 0, 3, 0, 1, 4, 2, 4, 2, 4, 4, 0, 1, 4, 4, 1, 2, 3, 4, 3, 1, 1, 2, 2, 2, 1, 0, 1, 3, 4, 3, 3, 3, 2, 1, 2, 0, 2, 4, 1, 4, 1, 2, 3, 4, 3, 0, 1, 1, 1, 1, 3, 4, 3, 4, 4, 4, 0, 2, 2, 0, 3, 4, 0, 4, 4, 3, 3, 4, 1, 4, 2, 0, 1, 3, 1, 0, 1, 1, 0, 2, 1, 3, 4, 4, 0, 1, 0, 0, 4, 0, 4, 1, 0, 1, 0, 1, 3, 2, 2, 4, 0, 3, 2, 3, 0, 3, 1, 4, 3, 4, 3, 3, 0, 3, 1, 0, 0, 3, 3, 3, 0, 3, 1, 3, 2, 2, 2, 3, 2, 1, 4, 4, 0, 4, 1, 1, 3, 2, 4, 4, 1, 2, 1, 0, 4, 4, 2, 1, 0, 2, 1, 0, 4, 0, 1, 4, 4, 1, 2, 1, 4, 3, 1, 2, 0, 2, 1, 1, 0, 2, 4, 4, 4, 4, 2, 2, 2, 2, 0, 1, 0, 0, 0, 3, 1, 0, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 1, 1, 4, 2, 3, 4, 0, 3, 2, 0, 3, 0, 4, 4, 4, 2, 2, 2, 3, 2, 1, 2, 2, 0, 1, 0, 0, 1, 4, 1, 2, 1, 2, 4, 0, 1, 1, 4, 2, 1, 4, 3, 1, 1, 3, 3, 2, 3, 3, 2, 1, 1, 2, 3, 1, 4, 0, 0, 4, 4, 3, 3, 0, 2, 4, 1, 4, 1, 2, 2, 0, 1, 0, 2, 2, 4, 4, 2, 3, 0, 2, 4, 2, 4, 1, 1, 0, 0, 3, 2, 4, 1, 4, 2, 3, 2, 2, 1, 0, 4, 3, 4, 3, 3, 3, 1, 0, 2, 2, 2, 1, 3, 4, 1, 3, 3, 0, 3, 3, 2, 0, 3, 3, 4, 0, 4, 4, 2, 0, 1, 3, 4, 0, 1, 1, 3, 3, 0, 2, 0, 4, 0, 1, 1, 0, 2, 2, 3, 4] pubkeycol669 = [0, 0, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 2, 4, 4, 0, 3, 1, 0, 1, 2, 2, 4, 0, 4, 2, 2, 3, 0, 4, 0, 0, 2, 1, 1, 3, 4, 3, 4, 2, 2, 0, 4, 4, 3, 3, 1, 0, 3, 4, 0, 0, 0, 1, 1, 0, 2, 0, 4, 3, 3, 4, 2, 3, 1, 4, 2, 2, 0, 1, 3, 2, 4, 2, 2, 2, 3, 1, 3, 4, 2, 2, 3, 0, 0, 3, 0, 2, 2, 0, 1, 0, 3, 4, 4, 1, 4, 2, 0, 3, 3, 4, 1, 4, 0, 0, 0, 4, 3, 4, 0, 0, 4, 1, 2, 0, 0, 4, 0, 4, 3, 4, 2, 0, 4, 4, 1, 1, 3, 3, 2, 3, 3, 4, 3, 4, 3, 3, 3, 1, 0, 0, 3, 1, 1, 0, 4, 1, 2, 4, 1, 1, 2, 2, 2, 4, 1, 4, 4, 0, 4, 1, 3, 0, 4, 4, 4, 2, 0, 2, 0, 4, 2, 1, 0, 0, 4, 3, 2, 3, 4, 3, 4, 0, 1, 1, 3, 3, 3, 1, 1, 2, 1, 2, 4, 4, 3, 3, 3, 4, 4, 1, 2, 0, 0, 3, 2, 1, 2, 1, 1, 2, 2, 3, 1, 2, 2, 3, 0, 0, 2, 0, 0, 1, 1, 3, 0, 1, 3, 0, 1, 2, 1, 1, 4, 1, 0, 3, 2, 1, 3, 0, 0, 3, 1, 2, 4, 1, 1, 0, 4, 3, 3, 2, 1, 4, 4, 1, 3, 1, 0, 0, 2, 1, 0, 4, 1, 0, 4, 3, 3, 3, 1, 2, 4, 0, 0, 3, 0, 3, 3, 3, 3, 1, 4, 2, 4, 2, 4, 4, 1, 2, 3, 1, 4, 2, 1, 1, 0, 3, 0, 2, 4, 2, 0, 3, 0, 0, 3, 3, 2, 1, 0, 1, 3, 3, 2, 4, 2, 0, 1, 0, 0, 3, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 4, 2, 0, 0, 1, 1, 4, 2, 3, 4, 1, 3, 3, 2, 2, 1, 1, 2, 4, 3, 1, 2, 1, 2, 1, 1, 4, 0, 3, 3, 1, 0, 0, 2, 2, 2, 3, 3, 1, 4, 1, 2, 0, 2, 4, 4, 3, 4, 3, 0, 4, 3, 1, 0, 2, 0, 0, 4, 3, 2, 2, 1, 2, 0, 2, 0, 4, 2, 1, 4, 1, 3, 0, 3, 2, 1, 3, 4, 1, 0, 1, 0, 4, 3, 0, 4, 4, 1, 3, 1, 3, 4, 4, 1, 1, 2, 3, 3, 2, 0, 3, 2, 3, 0, 1, 2, 1, 2, 4, 1, 4, 1, 2, 3, 4, 0, 3, 0, 2, 0, 2, 4, 0, 1, 0, 4, 1, 0, 2, 4, 2, 0, 4, 1, 0, 1, 4, 4, 1, 0, 4, 4, 3, 0, 4] pubkeycol670 = [2, 1, 0, 1, 0, 0, 0, 0, 1, 4, 0, 2, 0, 1, 0, 2, 4, 3, 4, 2, 1, 1, 3, 1, 4, 2, 4, 3, 4, 4, 3, 0, 3, 0, 4, 0, 1, 4, 0, 0, 3, 0, 4, 1, 2, 4, 1, 3, 3, 4, 3, 1, 0, 0, 3, 1, 0, 3, 4, 2, 0, 2, 2, 4, 2, 2, 3, 1, 4, 0, 1, 4, 3, 2, 3, 1, 2, 3, 1, 2, 0, 1, 2, 3, 3, 3, 3, 3, 4, 0, 4, 1, 4, 3, 4, 0, 1, 3, 0, 1, 4, 0, 4, 0, 1, 3, 4, 0, 4, 2, 4, 2, 0, 0, 1, 4, 0, 4, 4, 1, 0, 3, 1, 1, 0, 4, 3, 0, 1, 1, 2, 1, 4, 3, 2, 0, 0, 1, 0, 2, 4, 2, 1, 3, 0, 3, 3, 0, 0, 2, 2, 4, 4, 0, 1, 3, 2, 2, 0, 3, 2, 4, 2, 2, 3, 0, 3, 4, 2, 2, 1, 0, 4, 3, 3, 3, 3, 1, 0, 4, 0, 4, 2, 1, 4, 4, 4, 0, 4, 1, 2, 3, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 4, 0, 2, 1, 3, 4, 0, 0, 4, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 3, 2, 2, 3, 1, 3, 3, 4, 2, 3, 4, 2, 3, 4, 4, 4, 2, 0, 2, 3, 1, 0, 0, 2, 2, 1, 3, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 0, 1, 3, 3, 3, 0, 0, 1, 0, 4, 4, 1, 0, 1, 2, 4, 4, 3, 3, 3, 1, 3, 0, 0, 0, 2, 3, 1, 2, 3, 1, 3, 2, 3, 0, 4, 1, 0, 0, 2, 0, 0, 2, 3, 1, 0, 3, 4, 0, 2, 2, 4, 1, 4, 1, 0, 4, 4, 3, 3, 1, 4, 1, 2, 3, 1, 3, 2, 0, 0, 1, 2, 4, 1, 0, 0, 1, 0, 3, 0, 2, 3, 3, 1, 4, 1, 1, 0, 1, 0, 3, 4, 1, 4, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 3, 1, 4, 2, 3, 2, 1, 3, 3, 4, 3, 3, 1, 0, 1, 1, 1, 0, 0, 3, 2, 0, 2, 1, 3, 1, 4, 2, 4, 4, 0, 2, 0, 2, 2, 3, 2, 2, 0, 3, 2, 2, 2, 2, 1, 2, 4, 2, 2, 4, 4, 2, 2, 1, 2, 0, 4, 3, 2, 1, 1, 1, 0, 1, 1, 3, 2, 1, 3, 0, 4, 0, 4, 3, 2, 0, 4, 4, 4, 3, 0, 2, 0, 2, 1, 4, 0, 3, 3, 4, 0, 3, 4, 4, 4, 1, 3, 4, 4, 3, 1, 0, 4, 4] pubkeycol671 = [2, 1, 1, 0, 4, 0, 1, 1, 4, 0, 4, 4, 0, 0, 4, 3, 4, 4, 1, 0, 4, 1, 3, 0, 2, 2, 4, 1, 2, 0, 1, 1, 4, 2, 3, 3, 2, 1, 3, 2, 3, 3, 2, 3, 2, 4, 4, 0, 0, 2, 0, 0, 1, 3, 1, 0, 4, 3, 1, 3, 0, 3, 0, 2, 0, 1, 1, 2, 1, 1, 0, 3, 3, 2, 1, 0, 4, 2, 4, 4, 3, 4, 0, 0, 4, 1, 2, 4, 2, 1, 2, 1, 2, 4, 1, 0, 2, 2, 1, 0, 2, 0, 2, 4, 4, 3, 2, 3, 4, 1, 0, 4, 2, 1, 0, 2, 2, 1, 1, 3, 3, 0, 4, 0, 4, 3, 1, 1, 1, 2, 0, 3, 4, 0, 0, 1, 4, 4, 0, 3, 2, 2, 2, 0, 3, 0, 0, 2, 1, 0, 1, 0, 3, 3, 2, 1, 0, 2, 1, 3, 1, 3, 1, 3, 0, 4, 3, 1, 3, 3, 0, 2, 1, 2, 1, 2, 4, 4, 2, 1, 4, 0, 4, 3, 2, 0, 1, 3, 0, 0, 2, 3, 0, 1, 0, 3, 2, 4, 4, 1, 2, 1, 1, 1, 0, 3, 2, 0, 1, 4, 1, 3, 4, 2, 2, 3, 1, 3, 4, 1, 4, 1, 4, 1, 2, 0, 4, 2, 3, 4, 1, 0, 3, 4, 3, 2, 0, 2, 4, 3, 3, 3, 3, 3, 4, 2, 4, 3, 2, 4, 4, 2, 2, 1, 4, 0, 0, 1, 2, 1, 4, 2, 0, 0, 3, 3, 1, 2, 0, 1, 1, 0, 1, 4, 0, 3, 4, 0, 4, 1, 2, 4, 2, 1, 0, 0, 2, 2, 4, 2, 4, 4, 2, 4, 0, 0, 4, 1, 2, 2, 4, 2, 2, 0, 4, 2, 4, 1, 2, 2, 4, 1, 4, 2, 1, 1, 1, 3, 3, 4, 2, 1, 3, 3, 1, 1, 2, 4, 4, 0, 2, 4, 1, 0, 1, 2, 3, 1, 1, 0, 1, 1, 0, 4, 0, 0, 3, 3, 0, 1, 1, 3, 2, 4, 3, 2, 3, 1, 0, 3, 3, 3, 1, 4, 1, 0, 1, 0, 3, 1, 0, 1, 0, 1, 1, 2, 2, 4, 2, 2, 0, 3, 0, 3, 0, 2, 0, 4, 1, 1, 1, 2, 0, 4, 0, 0, 2, 0, 2, 2, 3, 2, 1, 3, 0, 2, 2, 4, 0, 1, 2, 3, 3, 3, 1, 4, 3, 4, 1, 0, 3, 1, 1, 3, 0, 0, 2, 0, 2, 3, 1, 4, 3, 1, 4, 0, 4, 0, 2, 1, 3, 2, 3, 4, 1, 1, 4, 3, 3, 4, 0, 1, 4, 4, 1, 1, 3, 0, 3, 3, 3, 2, 3, 1, 4, 2, 4, 4, 3, 4, 0, 4, 4, 1, 1, 3, 4, 0, 4, 1] pubkeycol672 = [2, 2, 2, 2, 0, 2, 1, 2, 0, 4, 3, 0, 0, 0, 3, 4, 0, 2, 2, 2, 0, 4, 0, 2, 1, 0, 4, 0, 0, 0, 0, 2, 2, 1, 0, 2, 3, 0, 0, 1, 3, 4, 4, 1, 0, 1, 2, 0, 0, 2, 4, 0, 2, 0, 2, 3, 4, 1, 0, 2, 2, 1, 4, 1, 4, 1, 1, 1, 0, 0, 3, 4, 3, 3, 4, 4, 4, 0, 4, 1, 0, 2, 3, 3, 3, 1, 2, 3, 2, 4, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 3, 0, 3, 2, 4, 1, 0, 3, 1, 4, 1, 0, 1, 3, 4, 1, 1, 4, 1, 3, 1, 4, 3, 2, 1, 4, 2, 3, 2, 4, 3, 2, 2, 2, 0, 3, 4, 1, 0, 1, 2, 4, 4, 2, 2, 1, 0, 4, 1, 4, 0, 3, 3, 2, 3, 2, 4, 2, 0, 3, 1, 3, 1, 0, 1, 1, 2, 1, 0, 4, 2, 0, 4, 3, 2, 1, 0, 2, 3, 2, 2, 4, 3, 2, 1, 4, 3, 2, 2, 0, 0, 2, 1, 0, 0, 0, 4, 1, 1, 3, 2, 0, 4, 2, 2, 3, 4, 4, 4, 0, 4, 2, 0, 2, 3, 1, 0, 2, 0, 1, 0, 1, 4, 0, 1, 4, 2, 0, 3, 4, 3, 4, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 4, 0, 0, 4, 1, 0, 0, 0, 0, 4, 3, 4, 1, 4, 3, 0, 2, 0, 4, 2, 3, 4, 0, 2, 1, 2, 3, 3, 2, 4, 1, 2, 4, 2, 1, 4, 4, 4, 3, 2, 0, 1, 4, 3, 1, 2, 3, 0, 0, 3, 1, 2, 1, 0, 4, 1, 2, 2, 3, 4, 0, 2, 2, 2, 1, 2, 3, 2, 3, 4, 3, 4, 0, 2, 0, 1, 2, 3, 3, 2, 0, 0, 0, 2, 1, 1, 0, 1, 3, 1, 1, 1, 4, 2, 4, 0, 0, 1, 4, 0, 4, 1, 2, 2, 1, 0, 3, 1, 3, 3, 2, 1, 2, 4, 0, 0, 0, 3, 4, 2, 2, 1, 1, 3, 3, 3, 4, 1, 1, 2, 4, 4, 1, 1, 3, 3, 2, 1, 4, 1, 1, 4, 0, 0, 0, 3, 3, 4, 4, 2, 0, 2, 2, 0, 4, 3, 3, 3, 2, 3, 4, 0, 0, 2, 3, 3, 2, 3, 1, 0, 3, 1, 1, 3, 4, 3, 0, 4, 1, 4, 1, 1, 4, 3, 4, 0, 4, 4, 1, 4, 4, 4, 3, 3, 0, 1, 0, 3, 4, 2, 1, 4, 3, 2, 1, 3, 2, 0, 2, 3, 3, 1, 3, 3, 0, 2, 2, 4, 1, 3, 1, 4, 4, 0, 3, 1, 1, 0, 4, 4, 3, 1, 1, 3] pubkeycol673 = [3, 0, 2, 4, 0, 2, 4, 4, 4, 0, 3, 1, 1, 0, 2, 1, 2, 4, 1, 4, 0, 4, 2, 0, 1, 1, 1, 3, 3, 0, 0, 4, 2, 3, 1, 1, 1, 3, 3, 1, 2, 1, 2, 4, 3, 0, 0, 3, 2, 2, 4, 4, 3, 2, 0, 4, 3, 3, 1, 3, 4, 2, 1, 4, 3, 3, 4, 0, 4, 4, 1, 0, 1, 4, 1, 3, 4, 2, 4, 3, 2, 4, 4, 2, 2, 3, 1, 4, 2, 0, 4, 3, 2, 4, 4, 4, 2, 0, 1, 0, 4, 4, 2, 0, 2, 3, 2, 4, 4, 1, 4, 4, 0, 3, 2, 2, 1, 0, 3, 0, 2, 0, 3, 3, 0, 1, 1, 0, 1, 4, 1, 3, 2, 0, 3, 3, 2, 1, 3, 2, 1, 2, 4, 1, 1, 0, 2, 2, 0, 2, 1, 4, 0, 2, 2, 1, 2, 0, 0, 1, 3, 3, 3, 0, 1, 0, 1, 3, 1, 3, 3, 2, 4, 2, 4, 3, 3, 4, 3, 1, 2, 2, 2, 1, 2, 1, 2, 4, 3, 1, 0, 0, 4, 0, 2, 3, 2, 2, 3, 4, 0, 0, 0, 3, 1, 2, 4, 4, 1, 3, 4, 4, 1, 4, 1, 1, 0, 1, 0, 3, 1, 3, 1, 2, 4, 4, 0, 3, 0, 1, 1, 0, 1, 1, 4, 3, 1, 2, 1, 3, 1, 3, 0, 2, 0, 3, 3, 0, 4, 0, 2, 2, 0, 1, 4, 3, 1, 3, 0, 1, 0, 3, 1, 0, 2, 3, 0, 0, 2, 3, 2, 2, 1, 2, 0, 4, 1, 2, 4, 1, 2, 0, 3, 2, 2, 1, 1, 2, 0, 4, 3, 1, 2, 2, 2, 3, 4, 2, 1, 0, 2, 2, 0, 3, 3, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 0, 4, 1, 4, 3, 1, 0, 0, 4, 3, 3, 1, 4, 0, 0, 4, 2, 0, 2, 1, 4, 1, 2, 3, 4, 4, 0, 1, 4, 4, 1, 2, 3, 4, 0, 3, 1, 1, 1, 2, 3, 3, 0, 0, 3, 1, 4, 1, 4, 1, 2, 3, 0, 3, 2, 0, 1, 1, 4, 0, 3, 2, 3, 0, 2, 4, 4, 1, 1, 0, 2, 3, 2, 0, 3, 4, 3, 0, 2, 4, 3, 4, 1, 3, 4, 3, 0, 2, 1, 3, 4, 0, 2, 2, 4, 1, 3, 4, 4, 4, 1, 4, 1, 3, 1, 2, 4, 0, 4, 2, 0, 4, 2, 3, 4, 0, 0, 0, 0, 1, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 4, 0, 0, 0, 2, 0, 2, 2, 4, 3, 4, 3, 3, 0, 4, 4, 2, 3, 1, 4, 2, 2, 3, 0, 4, 2, 4, 0, 1, 4, 0, 1, 0, 0, 3] pubkeycol674 = [0, 1, 2, 3, 0, 2, 1, 2, 1, 2, 0, 2, 4, 3, 2, 3, 3, 3, 4, 3, 2, 0, 2, 1, 3, 4, 1, 1, 4, 4, 0, 3, 1, 0, 4, 2, 0, 2, 3, 3, 3, 2, 2, 1, 0, 4, 0, 3, 0, 2, 4, 4, 0, 2, 0, 0, 1, 1, 2, 4, 3, 0, 1, 0, 0, 3, 2, 1, 2, 4, 0, 1, 0, 3, 4, 3, 4, 1, 0, 1, 3, 3, 1, 2, 1, 4, 4, 0, 4, 2, 2, 1, 0, 4, 2, 1, 2, 4, 0, 1, 2, 1, 0, 2, 3, 4, 1, 3, 3, 0, 2, 3, 3, 2, 4, 0, 0, 3, 3, 2, 3, 2, 1, 1, 2, 2, 0, 4, 3, 3, 3, 3, 4, 0, 3, 4, 2, 2, 0, 4, 1, 1, 1, 2, 4, 2, 3, 0, 1, 0, 0, 1, 4, 1, 3, 3, 3, 2, 3, 0, 1, 1, 4, 0, 0, 4, 0, 2, 1, 3, 1, 4, 0, 3, 0, 3, 3, 0, 2, 2, 1, 1, 2, 2, 1, 4, 2, 2, 1, 2, 4, 0, 2, 4, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 4, 1, 0, 3, 2, 4, 0, 1, 4, 3, 3, 3, 2, 1, 3, 4, 3, 4, 1, 3, 0, 4, 2, 4, 0, 1, 4, 0, 2, 3, 4, 0, 4, 2, 4, 1, 4, 0, 2, 3, 2, 3, 0, 0, 2, 3, 2, 4, 2, 1, 4, 2, 3, 4, 4, 4, 3, 1, 1, 0, 2, 3, 2, 3, 0, 2, 0, 4, 4, 1, 1, 0, 4, 2, 2, 4, 2, 3, 2, 4, 3, 1, 4, 3, 2, 1, 1, 4, 4, 2, 0, 2, 1, 0, 2, 2, 3, 4, 4, 2, 1, 3, 3, 1, 1, 0, 4, 2, 3, 4, 1, 2, 3, 3, 1, 1, 3, 2, 2, 3, 0, 4, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 4, 0, 2, 3, 0, 4, 3, 1, 4, 1, 0, 1, 2, 3, 1, 0, 4, 4, 4, 4, 4, 0, 3, 1, 4, 3, 2, 2, 4, 2, 3, 1, 0, 0, 1, 2, 3, 3, 0, 1, 3, 1, 3, 3, 0, 4, 2, 1, 4, 0, 3, 1, 3, 4, 4, 0, 2, 4, 3, 4, 3, 1, 1, 0, 3, 4, 2, 0, 1, 1, 1, 3, 1, 1, 4, 0, 1, 1, 3, 0, 4, 0, 4, 2, 1, 3, 0, 0, 1, 2, 0, 3, 3, 0, 1, 3, 1, 4, 4, 0, 1, 3, 1, 0, 1, 3, 2, 3, 4, 4, 0, 2, 1, 2, 2, 3, 3, 1, 1, 1, 4, 0, 1, 4, 2, 0, 3, 3, 0, 2, 2, 4, 0, 2, 2, 2, 1, 4] pubkeycol675 = [0, 0, 0, 0, 1, 1, 4, 2, 4, 4, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 3, 4, 2, 4, 4, 3, 0, 3, 3, 2, 1, 2, 3, 0, 3, 3, 3, 3, 2, 0, 4, 0, 0, 2, 1, 2, 3, 3, 1, 3, 4, 3, 2, 1, 1, 4, 4, 4, 4, 4, 3, 0, 2, 2, 3, 0, 0, 3, 3, 4, 4, 0, 4, 1, 1, 3, 1, 4, 3, 3, 2, 4, 3, 3, 4, 4, 0, 0, 1, 2, 2, 3, 3, 0, 4, 2, 1, 4, 4, 0, 3, 2, 0, 0, 4, 1, 3, 3, 4, 2, 0, 4, 3, 0, 4, 3, 1, 4, 0, 3, 4, 4, 0, 0, 3, 4, 4, 2, 4, 3, 2, 2, 1, 0, 2, 3, 2, 4, 3, 3, 0, 3, 2, 4, 2, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 3, 3, 2, 0, 0, 4, 0, 4, 4, 2, 0, 0, 3, 3, 3, 4, 2, 3, 3, 1, 2, 0, 2, 3, 0, 4, 4, 1, 1, 0, 4, 4, 0, 4, 2, 3, 1, 2, 3, 4, 3, 2, 3, 4, 0, 1, 1, 4, 3, 1, 2, 3, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 3, 0, 3, 0, 3, 0, 4, 3, 3, 3, 0, 4, 1, 0, 3, 4, 2, 1, 1, 2, 0, 3, 4, 3, 4, 3, 4, 2, 3, 3, 2, 1, 4, 1, 2, 2, 3, 0, 3, 1, 0, 0, 1, 1, 4, 1, 2, 4, 0, 2, 0, 4, 4, 3, 4, 1, 2, 0, 2, 3, 0, 3, 3, 2, 3, 2, 0, 1, 0, 0, 4, 4, 2, 1, 4, 4, 0, 1, 3, 3, 4, 2, 0, 0, 4, 3, 4, 4, 4, 0, 1, 0, 0, 4, 2, 1, 3, 3, 0, 0, 4, 2, 0, 3, 0, 0, 3, 0, 0, 2, 3, 1, 3, 4, 4, 3, 1, 0, 1, 0, 3, 2, 2, 4, 2, 2, 2, 3, 3, 0, 0, 1, 0, 0, 4, 3, 3, 0, 3, 2, 3, 1, 4, 3, 1, 0, 1, 3, 3, 3, 1, 0, 1, 4, 1, 4, 1, 4, 1, 3, 0, 0, 1, 4, 0, 2, 4, 1, 3, 1, 4, 3, 3, 0, 0, 1, 2, 1, 4, 2, 0, 2, 1, 0, 2, 0, 4, 1, 4, 1, 0, 0, 4, 4, 1, 4, 0, 2, 2, 2, 1, 1, 3, 0, 1, 1, 1, 0, 4, 2, 1, 3, 4, 1, 2, 0, 0, 3, 0, 2, 2, 3, 4, 0, 1, 1, 2, 0, 4, 1, 4, 0, 0, 3, 3, 2, 3, 4, 1, 1, 1, 2, 1, 0, 4, 1, 3, 1, 3, 1, 2, 4, 3, 3] pubkeycol676 = [2, 2, 1, 4, 2, 4, 0, 3, 1, 1, 1, 1, 2, 4, 3, 3, 3, 0, 0, 3, 1, 3, 4, 1, 3, 4, 4, 3, 2, 2, 1, 0, 4, 4, 0, 1, 2, 1, 1, 0, 4, 4, 2, 2, 1, 3, 0, 0, 2, 2, 4, 1, 0, 1, 3, 0, 2, 4, 4, 1, 4, 2, 1, 4, 1, 0, 2, 4, 4, 2, 1, 3, 0, 0, 3, 3, 3, 0, 4, 3, 2, 2, 2, 4, 4, 3, 0, 3, 0, 0, 2, 1, 2, 1, 0, 4, 4, 1, 2, 2, 3, 0, 0, 3, 1, 1, 2, 1, 3, 0, 1, 2, 0, 3, 0, 1, 2, 1, 2, 1, 0, 4, 4, 2, 2, 2, 1, 3, 2, 4, 3, 2, 0, 1, 4, 1, 4, 3, 0, 3, 0, 0, 1, 4, 3, 2, 0, 0, 1, 4, 4, 1, 0, 3, 2, 2, 0, 4, 4, 1, 0, 2, 1, 3, 2, 1, 1, 2, 1, 0, 3, 1, 0, 3, 1, 2, 3, 1, 4, 1, 0, 3, 0, 2, 3, 4, 1, 0, 4, 0, 4, 0, 0, 2, 0, 3, 1, 1, 3, 0, 3, 0, 1, 0, 4, 2, 2, 0, 0, 3, 4, 4, 3, 3, 0, 1, 4, 3, 3, 4, 3, 1, 3, 4, 0, 4, 4, 3, 3, 0, 1, 0, 1, 3, 1, 4, 1, 4, 4, 1, 0, 4, 4, 4, 0, 3, 1, 0, 1, 1, 1, 4, 0, 2, 0, 4, 4, 0, 4, 3, 0, 3, 0, 3, 0, 0, 1, 2, 1, 3, 1, 0, 1, 4, 1, 4, 4, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 3, 3, 1, 3, 1, 3, 3, 4, 4, 1, 3, 4, 0, 4, 3, 4, 3, 0, 0, 4, 3, 2, 3, 2, 2, 1, 4, 0, 2, 0, 2, 2, 2, 0, 2, 2, 3, 1, 3, 1, 3, 2, 4, 2, 2, 0, 4, 0, 4, 3, 4, 0, 2, 1, 4, 0, 4, 3, 1, 1, 4, 3, 4, 4, 2, 4, 0, 3, 4, 3, 4, 2, 2, 4, 4, 2, 3, 0, 4, 0, 4, 2, 0, 2, 1, 2, 1, 1, 4, 2, 3, 2, 0, 1, 0, 2, 3, 1, 0, 4, 0, 1, 1, 3, 4, 1, 0, 1, 2, 2, 4, 4, 4, 1, 3, 1, 4, 4, 0, 3, 1, 2, 0, 3, 0, 1, 3, 4, 3, 2, 3, 3, 1, 4, 2, 0, 3, 1, 2, 2, 0, 0, 3, 4, 0, 3, 0, 0, 1, 4, 1, 0, 2, 0, 2, 2, 4, 3, 0, 0, 4, 4, 2, 2, 4, 0, 0, 1, 4, 4, 1, 4, 1, 0, 3, 3, 1, 3, 1, 0, 4, 0, 0, 2, 4, 1, 2, 4, 1, 2, 1, 2] pubkeycol677 = [3, 4, 4, 3, 3, 0, 0, 3, 2, 1, 2, 4, 1, 2, 2, 4, 4, 2, 0, 2, 2, 1, 3, 1, 1, 0, 3, 1, 4, 2, 1, 3, 3, 0, 2, 0, 1, 0, 1, 2, 4, 0, 2, 3, 0, 4, 0, 2, 3, 3, 1, 2, 4, 4, 4, 0, 2, 2, 4, 1, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 1, 2, 3, 1, 0, 4, 4, 0, 4, 2, 0, 4, 0, 3, 4, 4, 0, 3, 1, 3, 1, 3, 4, 3, 1, 1, 3, 2, 4, 3, 3, 0, 1, 0, 4, 0, 4, 3, 0, 2, 1, 1, 4, 2, 4, 1, 1, 2, 2, 1, 4, 3, 2, 2, 3, 2, 0, 1, 1, 3, 3, 3, 4, 1, 4, 1, 3, 4, 2, 1, 2, 3, 3, 3, 4, 0, 1, 3, 4, 1, 0, 3, 4, 3, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 4, 0, 3, 3, 2, 3, 1, 1, 3, 1, 1, 4, 2, 3, 4, 0, 3, 4, 4, 1, 2, 1, 2, 3, 3, 0, 4, 3, 2, 3, 0, 0, 4, 3, 2, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 3, 2, 4, 1, 4, 1, 1, 3, 2, 1, 4, 3, 0, 0, 3, 2, 0, 0, 2, 0, 4, 0, 1, 1, 1, 1, 1, 0, 2, 3, 3, 3, 2, 2, 1, 0, 1, 4, 0, 3, 1, 4, 0, 4, 4, 2, 0, 1, 2, 0, 2, 2, 3, 0, 2, 4, 0, 1, 2, 3, 1, 2, 1, 2, 2, 4, 2, 1, 2, 0, 4, 2, 0, 3, 4, 2, 0, 4, 1, 2, 2, 2, 0, 2, 1, 2, 1, 4, 1, 0, 3, 1, 4, 4, 0, 3, 1, 3, 4, 4, 0, 4, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 4, 0, 3, 0, 1, 4, 1, 2, 3, 1, 2, 3, 0, 1, 3, 4, 0, 4, 2, 0, 3, 2, 2, 3, 0, 3, 3, 3, 1, 0, 2, 2, 2, 4, 0, 0, 2, 1, 3, 4, 3, 4, 0, 1, 0, 0, 1, 4, 1, 3, 3, 4, 1, 1, 0, 1, 2, 4, 4, 3, 2, 0, 3, 1, 2, 0, 0, 0, 2, 0, 0, 0, 3, 2, 4, 3, 1, 0, 3, 0, 1, 3, 1, 1, 0, 0, 0, 0, 4, 1, 0, 4, 2, 1, 4, 2, 2, 0, 2, 1, 1, 3, 1, 1, 2, 0, 0, 0, 2, 2, 2, 3, 1, 1, 3, 0, 3, 1, 3, 2, 4, 3, 3, 2, 2, 3, 1, 1, 1, 1, 3, 0, 1, 0, 0, 1, 2, 2, 0, 3, 1, 1, 2, 0, 1, 0, 3, 1, 0, 3, 3] pubkeycol678 = [3, 4, 2, 3, 1, 4, 1, 0, 3, 1, 4, 0, 1, 2, 0, 4, 1, 1, 0, 2, 2, 4, 0, 0, 0, 1, 4, 2, 2, 1, 3, 1, 3, 4, 3, 1, 4, 3, 4, 4, 0, 1, 3, 1, 1, 4, 4, 3, 4, 3, 2, 2, 2, 1, 2, 3, 1, 0, 4, 1, 3, 3, 1, 4, 0, 2, 2, 3, 2, 0, 2, 1, 3, 3, 0, 3, 0, 2, 3, 1, 1, 3, 0, 2, 0, 3, 1, 3, 4, 3, 0, 3, 1, 3, 2, 3, 4, 4, 3, 4, 3, 1, 1, 0, 0, 0, 2, 0, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 1, 2, 1, 4, 4, 4, 2, 1, 3, 3, 4, 0, 0, 3, 1, 4, 4, 1, 3, 3, 3, 4, 0, 3, 2, 3, 1, 0, 0, 1, 0, 2, 4, 0, 4, 2, 3, 4, 3, 4, 2, 0, 4, 4, 0, 1, 0, 0, 1, 3, 0, 1, 2, 2, 1, 4, 2, 3, 2, 4, 2, 0, 3, 4, 4, 4, 1, 2, 0, 0, 0, 3, 4, 0, 2, 2, 0, 1, 0, 0, 0, 3, 1, 0, 2, 2, 2, 4, 3, 1, 0, 2, 4, 4, 3, 3, 0, 1, 3, 0, 2, 4, 1, 4, 3, 2, 0, 4, 3, 2, 2, 1, 0, 4, 1, 4, 2, 3, 1, 0, 2, 1, 2, 3, 4, 0, 3, 2, 4, 1, 4, 0, 2, 0, 2, 4, 2, 3, 2, 3, 3, 0, 4, 4, 4, 0, 0, 2, 0, 1, 1, 2, 1, 1, 3, 2, 1, 3, 1, 1, 4, 4, 1, 0, 1, 3, 1, 2, 1, 4, 0, 0, 1, 2, 4, 1, 4, 0, 1, 3, 4, 0, 1, 0, 2, 1, 4, 3, 0, 2, 0, 3, 0, 3, 3, 2, 3, 0, 3, 4, 2, 0, 4, 3, 0, 2, 0, 2, 2, 3, 3, 0, 0, 4, 3, 2, 3, 1, 4, 0, 2, 0, 4, 4, 3, 3, 4, 1, 4, 0, 1, 2, 1, 4, 0, 4, 0, 0, 0, 1, 3, 3, 2, 1, 1, 4, 2, 3, 4, 2, 2, 4, 0, 1, 3, 1, 4, 2, 0, 0, 2, 3, 1, 3, 4, 3, 3, 2, 3, 0, 1, 3, 1, 1, 0, 4, 4, 2, 4, 4, 3, 4, 0, 1, 3, 4, 0, 3, 1, 2, 4, 4, 0, 4, 2, 3, 1, 4, 0, 2, 2, 4, 0, 4, 0, 4, 1, 2, 4, 3, 2, 3, 2, 4, 3, 4, 4, 4, 2, 0, 2, 3, 0, 2, 0, 1, 4, 4, 1, 0, 0, 2, 2, 2, 0, 0, 3, 4, 2, 3, 2, 4, 2, 1, 2, 1, 3, 2, 3, 3, 4, 2, 3, 3, 2, 3, 4, 2, 2, 3, 1, 1] pubkeycol679 = [3, 3, 3, 4, 3, 2, 3, 2, 3, 4, 0, 0, 0, 0, 0, 4, 4, 3, 0, 3, 1, 1, 2, 2, 0, 2, 4, 1, 2, 2, 1, 4, 4, 1, 3, 2, 3, 4, 4, 0, 0, 3, 4, 2, 2, 0, 3, 2, 0, 0, 4, 4, 2, 3, 1, 1, 2, 3, 3, 0, 2, 4, 4, 3, 3, 3, 2, 1, 2, 4, 2, 2, 1, 1, 2, 1, 3, 0, 0, 1, 2, 4, 4, 0, 3, 1, 3, 2, 4, 0, 2, 0, 0, 3, 3, 0, 2, 2, 2, 0, 1, 1, 2, 3, 4, 3, 4, 0, 2, 3, 2, 4, 4, 2, 0, 3, 2, 2, 4, 1, 4, 1, 0, 1, 3, 1, 0, 4, 1, 4, 3, 2, 3, 0, 4, 2, 2, 3, 0, 2, 3, 4, 1, 2, 0, 3, 0, 1, 4, 4, 2, 1, 2, 4, 0, 0, 3, 0, 0, 1, 2, 2, 4, 4, 1, 4, 1, 4, 0, 3, 3, 4, 3, 0, 1, 1, 0, 2, 3, 1, 3, 3, 4, 1, 0, 4, 0, 0, 2, 2, 2, 0, 0, 3, 4, 4, 1, 3, 1, 1, 4, 3, 2, 1, 4, 2, 3, 3, 4, 2, 4, 1, 3, 4, 2, 3, 4, 3, 2, 4, 0, 2, 0, 1, 3, 3, 3, 3, 2, 0, 1, 0, 2, 0, 0, 4, 4, 0, 4, 3, 1, 0, 4, 0, 3, 3, 4, 3, 2, 0, 2, 0, 3, 0, 0, 4, 3, 2, 2, 2, 3, 3, 2, 0, 0, 1, 2, 2, 2, 2, 4, 1, 0, 0, 4, 3, 3, 4, 2, 4, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 1, 4, 0, 0, 3, 4, 4, 0, 3, 4, 4, 2, 0, 4, 4, 2, 1, 2, 3, 0, 2, 3, 0, 2, 4, 0, 3, 2, 1, 4, 1, 0, 0, 1, 3, 1, 4, 4, 3, 1, 1, 3, 0, 1, 2, 0, 0, 4, 3, 3, 4, 2, 4, 1, 0, 2, 4, 1, 2, 0, 0, 1, 4, 2, 2, 3, 3, 1, 3, 1, 0, 2, 2, 4, 4, 1, 3, 4, 1, 3, 4, 4, 3, 2, 3, 2, 4, 2, 2, 1, 2, 0, 2, 4, 2, 1, 1, 1, 0, 4, 3, 3, 3, 4, 0, 2, 2, 3, 3, 2, 4, 4, 1, 0, 3, 4, 4, 4, 3, 1, 4, 3, 0, 0, 0, 1, 3, 3, 1, 1, 3, 0, 3, 1, 1, 1, 3, 2, 4, 3, 3, 1, 4, 0, 0, 3, 4, 4, 0, 1, 4, 3, 0, 2, 4, 3, 2, 2, 3, 3, 4, 4, 3, 0, 3, 2, 4, 1, 3, 2, 0, 0, 4, 3, 2, 1, 1, 4, 4, 1, 4, 3, 2, 1, 2, 0, 4, 1, 3, 1] pubkeycol680 = [0, 2, 1, 1, 1, 1, 4, 3, 2, 2, 0, 0, 3, 2, 2, 2, 0, 4, 2, 2, 1, 4, 3, 0, 1, 0, 0, 2, 3, 4, 0, 1, 1, 0, 3, 4, 4, 2, 4, 2, 0, 0, 2, 4, 3, 3, 1, 4, 3, 0, 0, 3, 2, 3, 1, 1, 2, 3, 0, 0, 0, 3, 3, 3, 3, 1, 1, 1, 4, 0, 3, 4, 1, 4, 0, 2, 1, 3, 4, 3, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 3, 0, 1, 0, 0, 4, 0, 3, 1, 4, 3, 2, 0, 0, 1, 2, 0, 0, 4, 3, 4, 3, 3, 0, 1, 3, 2, 2, 1, 2, 3, 2, 0, 3, 4, 1, 3, 1, 4, 3, 1, 0, 0, 3, 2, 4, 0, 1, 2, 2, 0, 4, 3, 3, 3, 3, 4, 3, 0, 3, 1, 3, 0, 4, 4, 3, 1, 3, 2, 3, 2, 1, 0, 4, 3, 0, 2, 2, 1, 4, 4, 4, 3, 2, 3, 2, 2, 2, 0, 2, 4, 4, 3, 3, 4, 0, 4, 1, 4, 0, 1, 3, 1, 1, 0, 1, 0, 2, 4, 4, 3, 4, 2, 1, 0, 0, 1, 3, 2, 3, 3, 1, 2, 0, 3, 1, 1, 4, 0, 0, 0, 1, 4, 4, 4, 4, 4, 3, 4, 0, 3, 3, 1, 3, 4, 2, 2, 1, 4, 2, 4, 4, 1, 4, 1, 4, 0, 4, 4, 1, 1, 4, 4, 0, 0, 4, 3, 4, 4, 1, 4, 2, 3, 2, 1, 4, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 3, 2, 0, 1, 0, 0, 2, 0, 3, 3, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 4, 0, 4, 1, 3, 0, 3, 3, 3, 0, 4, 0, 0, 2, 4, 3, 1, 2, 4, 4, 2, 0, 3, 4, 1, 0, 1, 3, 2, 0, 3, 0, 0, 4, 1, 3, 3, 0, 1, 2, 1, 1, 4, 0, 2, 0, 1, 1, 0, 4, 0, 1, 4, 3, 2, 0, 2, 3, 0, 1, 3, 2, 0, 3, 4, 3, 4, 2, 3, 4, 4, 2, 4, 0, 0, 2, 2, 3, 4, 0, 1, 4, 4, 4, 4, 0, 2, 3, 3, 0, 4, 2, 2, 2, 1, 2, 1, 4, 2, 2, 3, 1, 4, 1, 1, 4, 0, 0, 2, 2, 1, 3, 4, 3, 3, 3, 2, 3, 4, 2, 3, 2, 4, 0, 3, 1, 3, 2, 3, 2, 4, 2, 1, 3, 1, 4, 3, 1, 3, 2, 1, 0, 1, 2, 3, 3, 4, 2, 2, 1, 2, 3, 2, 1, 3, 0, 3, 4, 0, 4, 1, 1, 3, 1, 1, 0, 2, 4, 0, 1, 4, 3, 0, 2, 0, 4, 2, 1, 0] pubkeycol681 = [3, 0, 2, 3, 0, 1, 3, 4, 0, 3, 0, 1, 4, 3, 1, 3, 3, 1, 2, 0, 1, 0, 0, 3, 2, 2, 1, 0, 0, 0, 3, 1, 2, 2, 1, 2, 2, 3, 4, 2, 2, 0, 3, 1, 0, 3, 0, 0, 3, 3, 4, 1, 4, 4, 4, 4, 4, 0, 3, 4, 0, 2, 2, 4, 0, 2, 0, 0, 3, 2, 3, 2, 4, 0, 1, 4, 0, 0, 0, 4, 2, 1, 3, 2, 2, 0, 1, 2, 0, 3, 1, 1, 0, 3, 4, 2, 2, 0, 2, 3, 0, 1, 0, 3, 1, 1, 4, 2, 2, 2, 2, 1, 3, 2, 0, 0, 4, 3, 4, 3, 3, 1, 1, 0, 1, 2, 0, 4, 4, 1, 0, 2, 4, 1, 3, 3, 1, 1, 1, 4, 3, 2, 3, 3, 3, 2, 4, 1, 3, 4, 0, 3, 4, 4, 2, 0, 0, 4, 3, 0, 1, 0, 1, 2, 2, 2, 1, 4, 2, 3, 1, 3, 4, 0, 4, 0, 3, 1, 3, 1, 1, 2, 3, 0, 2, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 1, 0, 1, 3, 3, 3, 3, 2, 1, 2, 2, 1, 0, 1, 4, 0, 0, 1, 4, 0, 4, 3, 1, 1, 3, 4, 0, 3, 3, 2, 2, 2, 3, 2, 0, 2, 4, 2, 2, 1, 2, 1, 2, 4, 2, 4, 0, 3, 4, 2, 0, 4, 1, 2, 2, 2, 0, 4, 2, 0, 2, 4, 1, 4, 4, 3, 1, 0, 4, 0, 4, 0, 1, 1, 4, 4, 4, 1, 1, 1, 4, 3, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 0, 4, 1, 2, 3, 3, 2, 0, 2, 4, 1, 2, 0, 4, 3, 1, 0, 0, 2, 1, 2, 1, 3, 3, 3, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 4, 4, 0, 3, 0, 1, 3, 1, 1, 4, 0, 4, 0, 3, 0, 0, 2, 1, 2, 0, 1, 2, 0, 3, 3, 3, 1, 3, 2, 1, 0, 0, 0, 4, 1, 2, 2, 3, 3, 3, 2, 2, 4, 3, 1, 2, 0, 2, 0, 4, 4, 3, 4, 4, 0, 0, 4, 2, 1, 0, 3, 1, 3, 1, 2, 2, 0, 3, 4, 4, 2, 1, 2, 0, 4, 4, 2, 3, 4, 3, 1, 0, 2, 2, 2, 1, 2, 2, 2, 3, 3, 3, 1, 4, 4, 0, 2, 2, 1, 2, 0, 1, 2, 3, 1, 0, 0, 4, 1, 1, 2, 2, 3, 2, 1, 3, 1, 4, 1, 4, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 4, 2, 4, 0, 2, 0, 2, 0, 3, 4, 1, 3, 4, 3, 1, 0, 4, 3, 4, 4, 2, 3, 1, 1, 3] pubkeycol682 = [3, 2, 3, 0, 1, 4, 0, 1, 2, 2, 2, 4, 0, 1, 2, 4, 2, 4, 3, 4, 3, 4, 3, 3, 0, 4, 4, 2, 0, 4, 3, 0, 2, 4, 0, 1, 0, 0, 4, 1, 3, 2, 3, 3, 0, 4, 3, 3, 0, 3, 3, 2, 4, 1, 1, 1, 4, 0, 2, 4, 2, 4, 4, 0, 1, 4, 2, 4, 1, 3, 2, 2, 0, 3, 4, 3, 0, 0, 2, 1, 4, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 4, 1, 3, 3, 3, 4, 4, 3, 0, 1, 0, 1, 2, 4, 0, 3, 3, 3, 2, 4, 1, 2, 3, 0, 4, 4, 4, 3, 4, 4, 2, 0, 3, 4, 0, 2, 3, 0, 2, 2, 4, 1, 3, 2, 1, 0, 4, 1, 2, 4, 3, 3, 2, 2, 4, 2, 3, 2, 3, 1, 3, 0, 0, 3, 2, 3, 2, 4, 1, 3, 0, 4, 4, 3, 2, 1, 4, 4, 4, 2, 1, 0, 2, 2, 4, 0, 2, 4, 1, 0, 1, 4, 4, 2, 0, 2, 2, 2, 0, 4, 3, 1, 1, 2, 0, 3, 3, 0, 2, 4, 2, 3, 2, 4, 2, 2, 2, 1, 3, 3, 4, 4, 1, 4, 0, 1, 3, 1, 4, 3, 2, 4, 0, 4, 1, 3, 2, 0, 1, 4, 0, 2, 2, 3, 0, 4, 0, 0, 1, 0, 2, 2, 3, 4, 0, 1, 0, 3, 2, 1, 4, 1, 0, 4, 4, 4, 2, 1, 0, 2, 4, 4, 2, 4, 0, 4, 3, 4, 3, 2, 1, 3, 4, 0, 3, 0, 0, 1, 0, 4, 1, 1, 2, 2, 0, 4, 0, 1, 3, 0, 1, 1, 2, 1, 3, 3, 1, 3, 0, 0, 1, 4, 0, 2, 4, 1, 3, 0, 3, 4, 2, 1, 2, 0, 1, 2, 1, 3, 1, 4, 1, 0, 0, 0, 4, 0, 3, 3, 0, 2, 1, 1, 1, 4, 3, 1, 3, 2, 0, 1, 1, 3, 3, 1, 0, 4, 4, 4, 0, 3, 4, 4, 1, 1, 4, 1, 3, 4, 0, 3, 4, 0, 2, 1, 0, 3, 2, 3, 0, 0, 2, 2, 3, 3, 4, 1, 0, 4, 4, 1, 1, 2, 0, 4, 1, 4, 0, 4, 2, 3, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 4, 4, 4, 3, 2, 0, 0, 2, 1, 1, 0, 0, 3, 1, 0, 4, 3, 3, 4, 3, 4, 0, 2, 2, 2, 0, 4, 4, 4, 4, 1, 4, 0, 3, 4, 1, 3, 4, 0, 3, 4, 3, 1, 0, 4, 1, 1, 4, 0, 4, 4, 2, 0, 2, 1, 1, 0, 1, 1, 3, 2, 2, 1, 2, 3, 4, 4, 4, 3, 3, 4, 4, 1, 0, 1, 0] pubkeycol683 = [2, 1, 4, 4, 3, 2, 1, 4, 1, 0, 1, 2, 3, 4, 2, 2, 1, 2, 1, 0, 4, 0, 1, 0, 4, 1, 4, 1, 3, 4, 1, 1, 3, 4, 2, 2, 2, 3, 3, 0, 2, 1, 3, 3, 0, 1, 1, 2, 2, 2, 1, 3, 1, 4, 3, 2, 0, 0, 3, 2, 1, 2, 2, 4, 3, 2, 2, 4, 1, 1, 3, 1, 4, 4, 0, 3, 4, 3, 2, 1, 2, 3, 3, 4, 2, 3, 1, 0, 2, 2, 2, 1, 2, 1, 3, 4, 2, 2, 1, 2, 3, 3, 2, 2, 1, 0, 4, 3, 0, 4, 0, 2, 0, 3, 4, 1, 0, 4, 3, 1, 0, 1, 3, 3, 0, 1, 2, 3, 3, 4, 3, 4, 2, 0, 4, 0, 3, 2, 3, 4, 4, 0, 2, 3, 0, 0, 2, 3, 1, 1, 3, 2, 4, 4, 4, 0, 0, 4, 3, 0, 4, 2, 0, 2, 4, 3, 4, 2, 1, 1, 0, 0, 3, 0, 0, 4, 4, 2, 2, 3, 4, 1, 0, 4, 1, 3, 2, 4, 3, 2, 0, 1, 3, 2, 2, 1, 1, 1, 3, 1, 3, 4, 3, 1, 0, 1, 3, 3, 1, 4, 2, 0, 0, 4, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 4, 4, 4, 2, 1, 0, 4, 3, 3, 3, 3, 3, 1, 3, 2, 4, 2, 2, 2, 0, 4, 2, 2, 0, 1, 3, 0, 3, 4, 4, 3, 3, 3, 4, 4, 2, 0, 2, 0, 4, 4, 4, 3, 1, 2, 2, 0, 0, 3, 1, 4, 0, 1, 3, 0, 3, 0, 3, 2, 1, 4, 2, 1, 4, 1, 2, 1, 3, 3, 0, 3, 2, 2, 1, 3, 3, 3, 3, 2, 4, 3, 3, 2, 2, 0, 3, 0, 2, 3, 0, 4, 3, 0, 0, 4, 0, 0, 2, 0, 1, 1, 1, 0, 4, 3, 2, 3, 2, 3, 3, 0, 4, 4, 4, 3, 4, 4, 3, 2, 2, 2, 4, 1, 0, 2, 4, 4, 2, 4, 0, 3, 3, 1, 3, 3, 1, 3, 2, 4, 0, 1, 0, 0, 3, 3, 1, 1, 1, 0, 0, 1, 3, 0, 1, 0, 3, 1, 0, 4, 2, 2, 0, 3, 1, 3, 4, 0, 2, 2, 3, 2, 0, 4, 4, 3, 3, 1, 0, 0, 1, 4, 3, 1, 0, 2, 3, 0, 3, 3, 2, 1, 2, 0, 4, 4, 3, 0, 1, 1, 0, 2, 3, 3, 0, 0, 4, 4, 3, 0, 1, 1, 3, 0, 1, 4, 3, 0, 4, 0, 4, 4, 1, 2, 3, 1, 2, 2, 4, 2, 4, 1, 1, 1, 1, 4, 0, 3, 2, 2, 4, 3, 2, 2, 0, 1, 4, 4, 2, 1, 1, 3, 2, 1, 2, 2, 2] pubkeycol684 = [1, 4, 3, 1, 4, 1, 1, 1, 0, 1, 4, 4, 1, 4, 4, 4, 3, 1, 4, 2, 1, 0, 0, 0, 4, 2, 2, 4, 3, 4, 0, 0, 1, 4, 4, 3, 1, 3, 1, 1, 0, 2, 2, 1, 4, 4, 3, 2, 0, 2, 1, 0, 2, 1, 2, 4, 2, 3, 3, 3, 3, 2, 3, 4, 4, 3, 1, 1, 2, 3, 4, 1, 4, 0, 0, 2, 2, 0, 2, 1, 2, 3, 1, 0, 3, 4, 2, 0, 2, 2, 1, 4, 0, 2, 0, 3, 1, 3, 1, 3, 0, 1, 3, 4, 3, 0, 0, 1, 1, 0, 3, 0, 1, 1, 2, 4, 3, 1, 0, 2, 2, 4, 0, 3, 3, 4, 1, 4, 4, 3, 4, 4, 4, 3, 1, 3, 2, 2, 0, 3, 1, 4, 3, 4, 3, 4, 4, 4, 3, 4, 0, 4, 1, 1, 3, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 2, 3, 0, 3, 0, 3, 2, 4, 1, 4, 4, 4, 3, 1, 4, 0, 3, 3, 4, 2, 4, 0, 0, 4, 1, 2, 1, 3, 4, 4, 3, 4, 3, 1, 4, 2, 3, 3, 0, 3, 1, 0, 4, 0, 1, 1, 0, 3, 1, 2, 2, 4, 1, 2, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 2, 4, 1, 1, 0, 0, 4, 3, 4, 3, 0, 3, 2, 1, 1, 4, 1, 2, 4, 1, 1, 0, 3, 0, 0, 4, 2, 0, 1, 2, 2, 4, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 2, 3, 3, 3, 2, 0, 3, 2, 3, 0, 3, 2, 2, 0, 1, 1, 0, 2, 0, 4, 1, 4, 1, 1, 1, 3, 3, 0, 3, 2, 3, 4, 2, 3, 2, 1, 4, 1, 0, 3, 3, 2, 2, 2, 0, 2, 1, 0, 3, 1, 4, 0, 2, 0, 1, 4, 4, 3, 3, 0, 4, 3, 2, 4, 0, 0, 1, 0, 2, 3, 4, 2, 3, 3, 2, 3, 2, 2, 1, 4, 4, 0, 3, 1, 3, 0, 2, 2, 3, 4, 3, 2, 1, 4, 2, 3, 0, 0, 2, 3, 4, 0, 0, 3, 3, 0, 0, 0, 4, 3, 3, 3, 4, 2, 3, 1, 4, 1, 4, 3, 3, 2, 4, 0, 3, 1, 1, 2, 2, 0, 0, 1, 4, 0, 3, 4, 0, 3, 2, 3, 1, 0, 4, 4, 1, 4, 4, 0, 0, 4, 1, 0, 2, 2, 4, 0, 3, 1, 2, 1, 3, 3, 1, 1, 3, 4, 3, 4, 1, 2, 4, 4, 3, 2, 2, 4, 3, 2, 1, 2, 2, 0, 1, 3, 4, 1, 3, 4, 1, 1, 1, 0, 1, 2, 3, 2, 2, 3, 4, 4, 4, 4, 1, 3, 4, 1, 1, 1, 3] pubkeycol685 = [3, 0, 2, 4, 2, 2, 4, 4, 2, 0, 1, 0, 0, 0, 1, 4, 0, 0, 3, 3, 3, 4, 3, 1, 3, 0, 1, 2, 3, 4, 2, 4, 1, 3, 4, 0, 1, 3, 1, 3, 2, 2, 1, 2, 1, 0, 4, 4, 1, 3, 4, 0, 2, 3, 1, 1, 2, 3, 4, 1, 3, 4, 1, 4, 1, 2, 4, 3, 2, 4, 3, 1, 0, 1, 1, 2, 4, 0, 2, 2, 2, 4, 4, 2, 0, 1, 1, 4, 1, 0, 2, 3, 4, 4, 3, 0, 3, 3, 0, 3, 1, 1, 2, 1, 4, 1, 0, 2, 0, 3, 1, 4, 2, 2, 3, 2, 4, 2, 0, 1, 4, 0, 3, 1, 3, 4, 2, 4, 3, 1, 0, 0, 4, 2, 1, 2, 4, 3, 4, 0, 4, 3, 0, 0, 1, 3, 2, 4, 4, 2, 0, 3, 4, 4, 2, 3, 3, 2, 2, 0, 0, 4, 1, 2, 1, 2, 2, 0, 0, 3, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 3, 1, 4, 1, 3, 4, 0, 2, 3, 4, 2, 3, 3, 1, 2, 4, 2, 2, 3, 4, 1, 0, 0, 0, 1, 0, 1, 1, 0, 4, 4, 2, 1, 3, 4, 0, 0, 4, 0, 3, 4, 4, 4, 2, 0, 1, 2, 1, 4, 3, 0, 3, 0, 1, 1, 2, 1, 0, 3, 2, 1, 2, 0, 2, 4, 0, 2, 4, 1, 1, 1, 4, 3, 4, 1, 0, 3, 0, 4, 0, 4, 0, 4, 1, 3, 2, 2, 2, 4, 4, 0, 0, 4, 3, 0, 0, 4, 4, 1, 2, 1, 2, 2, 4, 0, 4, 0, 3, 1, 1, 3, 3, 3, 4, 1, 4, 0, 3, 4, 2, 0, 1, 1, 1, 4, 3, 1, 0, 0, 4, 4, 3, 3, 1, 1, 0, 3, 3, 2, 3, 4, 1, 1, 4, 2, 1, 4, 3, 2, 0, 1, 2, 1, 1, 4, 1, 3, 0, 0, 0, 2, 4, 4, 1, 2, 3, 4, 2, 0, 1, 3, 4, 0, 1, 1, 2, 1, 0, 3, 4, 1, 4, 0, 3, 3, 2, 0, 4, 3, 4, 2, 0, 2, 4, 3, 1, 4, 2, 3, 2, 3, 2, 2, 3, 2, 0, 0, 0, 1, 1, 1, 0, 2, 4, 1, 3, 2, 3, 3, 3, 3, 3, 1, 4, 2, 1, 3, 1, 1, 3, 3, 0, 0, 0, 1, 3, 3, 3, 1, 0, 4, 2, 0, 2, 1, 0, 4, 2, 0, 4, 2, 4, 4, 3, 4, 4, 3, 2, 0, 2, 0, 2, 2, 2, 4, 2, 3, 1, 2, 3, 3, 3, 0, 0, 3, 2, 1, 1, 4, 4, 3, 1, 4, 4, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 4, 4, 4, 3] pubkeycol686 = [4, 0, 0, 0, 3, 1, 0, 4, 0, 4, 2, 4, 0, 4, 1, 0, 0, 0, 2, 0, 3, 4, 1, 4, 0, 4, 3, 2, 2, 2, 2, 1, 1, 0, 0, 3, 0, 2, 0, 3, 0, 4, 3, 0, 1, 3, 3, 2, 1, 2, 3, 2, 0, 0, 0, 1, 1, 0, 3, 3, 2, 1, 4, 1, 0, 2, 4, 3, 4, 1, 0, 3, 2, 3, 0, 0, 3, 3, 4, 4, 2, 3, 1, 1, 4, 1, 0, 1, 1, 0, 1, 3, 3, 4, 3, 1, 3, 0, 2, 2, 1, 2, 2, 1, 4, 3, 3, 1, 3, 2, 2, 1, 3, 0, 3, 4, 0, 2, 2, 1, 0, 2, 4, 0, 0, 2, 1, 4, 1, 0, 0, 4, 2, 1, 2, 2, 2, 0, 3, 3, 1, 3, 4, 1, 1, 4, 3, 4, 4, 3, 0, 0, 1, 2, 1, 2, 1, 2, 0, 4, 0, 0, 2, 4, 2, 1, 1, 1, 2, 0, 1, 4, 1, 3, 3, 0, 3, 3, 1, 2, 4, 2, 3, 3, 1, 3, 3, 1, 4, 4, 0, 4, 0, 4, 0, 4, 4, 1, 3, 4, 0, 0, 2, 4, 3, 4, 2, 4, 2, 4, 2, 3, 3, 4, 1, 3, 2, 4, 2, 2, 4, 4, 1, 3, 1, 0, 1, 2, 0, 3, 2, 4, 4, 3, 0, 1, 3, 0, 4, 2, 2, 1, 3, 0, 4, 2, 4, 0, 1, 4, 3, 2, 3, 2, 3, 2, 2, 4, 4, 4, 3, 3, 1, 1, 3, 4, 3, 3, 1, 1, 1, 3, 0, 2, 3, 3, 1, 4, 0, 3, 2, 3, 2, 0, 2, 3, 3, 3, 2, 0, 1, 2, 1, 3, 4, 2, 4, 4, 1, 0, 2, 3, 3, 3, 1, 1, 1, 4, 2, 4, 3, 0, 0, 4, 0, 0, 0, 1, 3, 1, 3, 4, 3, 2, 4, 4, 1, 1, 3, 4, 4, 0, 4, 2, 3, 2, 3, 4, 0, 2, 0, 3, 3, 3, 2, 2, 1, 3, 3, 2, 0, 4, 4, 4, 2, 4, 3, 4, 2, 3, 2, 2, 2, 1, 3, 1, 4, 3, 3, 4, 1, 0, 4, 4, 4, 0, 2, 1, 2, 1, 1, 4, 4, 2, 4, 0, 0, 0, 4, 4, 4, 4, 3, 1, 1, 3, 0, 0, 4, 2, 0, 0, 4, 0, 0, 4, 4, 0, 3, 2, 0, 3, 3, 0, 2, 2, 3, 3, 2, 0, 2, 2, 1, 3, 0, 3, 1, 2, 1, 1, 2, 3, 2, 1, 3, 0, 4, 2, 1, 2, 2, 2, 0, 0, 0, 1, 4, 2, 3, 4, 3, 0, 1, 1, 0, 4, 1, 2, 4, 1, 4, 1, 1, 1, 0, 3, 3, 4, 3, 1, 2, 1, 0, 2, 4, 2, 4, 2, 1, 3] pubkeycol687 = [2, 4, 4, 4, 2, 2, 0, 4, 3, 3, 3, 3, 2, 4, 1, 4, 2, 1, 3, 0, 2, 3, 2, 1, 3, 1, 0, 1, 3, 2, 2, 0, 2, 1, 1, 0, 3, 2, 4, 2, 4, 3, 1, 0, 3, 4, 3, 0, 2, 2, 2, 2, 1, 1, 3, 3, 3, 4, 2, 3, 4, 3, 2, 3, 0, 4, 0, 1, 1, 1, 3, 4, 3, 1, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 0, 4, 3, 3, 3, 3, 4, 1, 2, 1, 3, 1, 2, 3, 4, 2, 2, 4, 4, 3, 2, 1, 3, 1, 4, 0, 0, 4, 1, 1, 1, 4, 0, 0, 4, 1, 2, 0, 4, 2, 2, 1, 4, 2, 0, 1, 2, 3, 1, 0, 0, 3, 4, 1, 0, 1, 2, 4, 4, 0, 1, 0, 4, 3, 1, 4, 0, 4, 0, 1, 2, 0, 1, 3, 0, 3, 2, 3, 2, 2, 0, 3, 1, 0, 2, 4, 3, 1, 4, 3, 3, 3, 3, 3, 3, 0, 1, 4, 3, 3, 2, 1, 0, 2, 1, 3, 4, 4, 1, 4, 1, 1, 2, 1, 0, 1, 4, 2, 2, 3, 2, 4, 2, 1, 0, 0, 1, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 0, 3, 2, 1, 3, 0, 2, 4, 0, 2, 0, 1, 2, 1, 2, 4, 1, 4, 3, 4, 1, 4, 0, 3, 3, 0, 2, 0, 1, 3, 2, 1, 3, 1, 3, 3, 4, 2, 3, 0, 1, 1, 3, 2, 1, 3, 0, 1, 2, 1, 1, 3, 1, 3, 0, 4, 1, 3, 0, 3, 2, 3, 4, 0, 3, 1, 0, 1, 0, 4, 1, 4, 0, 0, 1, 0, 2, 2, 1, 0, 4, 3, 1, 3, 3, 3, 2, 0, 1, 3, 2, 3, 1, 1, 4, 1, 3, 2, 3, 4, 0, 0, 0, 3, 3, 4, 3, 4, 4, 0, 1, 3, 3, 1, 3, 3, 3, 4, 2, 3, 4, 0, 2, 2, 1, 4, 2, 3, 0, 4, 4, 3, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 4, 0, 3, 1, 3, 2, 4, 2, 4, 2, 2, 4, 3, 1, 4, 1, 3, 3, 1, 0, 1, 4, 3, 3, 2, 2, 4, 0, 2, 3, 2, 2, 3, 0, 0, 4, 4, 2, 2, 4, 3, 3, 1, 4, 1, 1, 0, 1, 4, 2, 1, 1, 1, 3, 2, 1, 4, 4, 1, 0, 4, 1, 4, 1, 0, 0, 4, 3, 2, 2, 2, 2, 4, 3, 2, 0, 4, 2, 3, 4, 3, 1, 3, 1, 2, 0, 1, 0, 0, 4, 1, 1, 1, 2, 0, 4, 4, 1, 3, 0, 4, 0, 4, 0, 3, 3, 1, 1, 0, 2, 0, 4, 4, 0, 0] pubkeycol688 = [0, 4, 1, 3, 1, 2, 0, 4, 0, 4, 0, 2, 4, 3, 2, 2, 4, 4, 4, 4, 0, 4, 1, 3, 2, 0, 0, 3, 1, 3, 3, 4, 0, 3, 0, 4, 0, 0, 0, 2, 3, 4, 3, 1, 4, 2, 1, 0, 1, 0, 4, 4, 1, 3, 2, 4, 1, 1, 1, 2, 3, 4, 1, 2, 1, 0, 0, 3, 4, 4, 0, 1, 3, 3, 3, 0, 1, 4, 0, 0, 3, 2, 2, 0, 2, 2, 3, 4, 4, 1, 0, 0, 4, 1, 4, 3, 3, 0, 3, 0, 0, 2, 1, 2, 1, 3, 2, 2, 1, 2, 2, 0, 4, 3, 4, 2, 1, 4, 4, 2, 2, 2, 2, 4, 0, 2, 4, 0, 0, 1, 1, 3, 4, 4, 1, 3, 0, 1, 1, 1, 0, 3, 2, 3, 0, 1, 0, 1, 0, 4, 4, 0, 3, 2, 0, 2, 4, 2, 0, 2, 3, 1, 1, 3, 2, 3, 4, 0, 3, 1, 1, 3, 2, 1, 1, 3, 3, 3, 4, 2, 1, 3, 4, 0, 4, 2, 0, 4, 2, 0, 1, 1, 0, 1, 3, 2, 1, 4, 3, 1, 3, 4, 1, 1, 2, 1, 3, 2, 1, 2, 1, 2, 3, 0, 1, 4, 1, 4, 0, 2, 4, 2, 3, 4, 3, 2, 0, 1, 3, 1, 4, 0, 2, 4, 2, 2, 4, 0, 2, 0, 0, 3, 1, 3, 2, 3, 3, 4, 2, 4, 3, 3, 2, 2, 2, 4, 0, 3, 2, 1, 4, 2, 3, 2, 0, 4, 3, 4, 0, 1, 3, 4, 3, 2, 3, 4, 2, 3, 2, 1, 0, 3, 4, 1, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 2, 4, 1, 2, 1, 2, 2, 0, 3, 0, 3, 0, 4, 0, 0, 1, 4, 2, 3, 1, 0, 3, 4, 0, 0, 4, 0, 2, 0, 1, 3, 1, 1, 0, 4, 1, 0, 3, 0, 4, 0, 2, 3, 3, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 1, 2, 1, 1, 4, 2, 0, 0, 1, 4, 2, 1, 4, 2, 4, 4, 0, 0, 4, 3, 2, 1, 1, 0, 3, 3, 2, 3, 4, 3, 3, 2, 1, 1, 2, 3, 0, 4, 1, 2, 4, 3, 4, 2, 1, 2, 2, 0, 4, 3, 3, 3, 3, 4, 0, 1, 2, 2, 3, 4, 2, 3, 0, 4, 4, 3, 0, 3, 2, 4, 2, 0, 4, 1, 1, 3, 0, 2, 4, 2, 4, 0, 0, 0, 1, 2, 3, 2, 3, 0, 4, 3, 0, 2, 0, 0, 1, 4, 3, 4, 4, 4, 3, 4, 2, 1, 4, 0, 1, 2, 1, 3, 2, 2, 4, 3, 3, 4, 3, 2, 1, 4, 1, 1, 3, 3, 3, 3, 2, 4, 1] pubkeycol689 = [1, 2, 4, 1, 3, 1, 4, 1, 2, 3, 4, 2, 2, 1, 0, 4, 2, 4, 4, 1, 0, 4, 1, 4, 0, 2, 2, 0, 2, 0, 2, 4, 3, 2, 3, 4, 2, 1, 3, 2, 0, 1, 2, 3, 0, 3, 0, 4, 1, 3, 2, 1, 2, 0, 2, 3, 2, 1, 1, 1, 1, 3, 4, 0, 1, 2, 2, 1, 4, 0, 2, 3, 4, 3, 1, 2, 3, 2, 0, 3, 1, 2, 2, 4, 1, 3, 1, 2, 3, 1, 3, 4, 0, 0, 0, 0, 0, 0, 2, 0, 1, 3, 2, 2, 2, 0, 3, 4, 0, 0, 1, 2, 2, 3, 1, 4, 0, 3, 1, 4, 2, 4, 1, 1, 3, 3, 2, 3, 2, 0, 1, 0, 0, 3, 1, 0, 3, 3, 2, 3, 3, 2, 1, 3, 2, 3, 2, 1, 3, 4, 4, 3, 3, 4, 0, 1, 3, 0, 0, 3, 2, 3, 4, 1, 0, 4, 3, 1, 0, 1, 3, 4, 2, 4, 4, 4, 2, 3, 2, 2, 2, 3, 4, 2, 1, 3, 4, 4, 3, 2, 3, 2, 0, 0, 1, 4, 1, 0, 1, 2, 4, 4, 3, 1, 3, 4, 2, 2, 1, 4, 4, 4, 4, 1, 2, 0, 4, 2, 3, 4, 3, 4, 0, 4, 0, 0, 1, 4, 2, 2, 2, 4, 3, 4, 2, 4, 2, 1, 4, 4, 2, 0, 0, 0, 2, 0, 4, 4, 1, 3, 1, 3, 3, 1, 0, 2, 4, 3, 0, 4, 4, 0, 2, 0, 4, 1, 0, 2, 3, 4, 2, 2, 1, 0, 3, 2, 0, 2, 4, 1, 3, 0, 2, 2, 0, 1, 0, 0, 4, 0, 0, 2, 0, 0, 4, 1, 3, 4, 3, 4, 0, 1, 2, 0, 3, 1, 0, 2, 2, 0, 4, 3, 0, 0, 3, 1, 2, 1, 3, 3, 3, 3, 4, 1, 0, 2, 4, 2, 3, 3, 0, 3, 4, 2, 2, 0, 4, 2, 0, 3, 2, 0, 1, 0, 0, 4, 2, 0, 4, 3, 3, 3, 3, 0, 1, 4, 4, 0, 2, 2, 3, 0, 1, 0, 0, 1, 1, 1, 1, 4, 4, 1, 3, 2, 0, 2, 1, 3, 1, 3, 3, 2, 2, 4, 4, 1, 3, 4, 0, 1, 2, 0, 2, 3, 0, 4, 0, 2, 0, 4, 0, 2, 3, 2, 0, 3, 3, 1, 2, 2, 2, 1, 4, 2, 1, 4, 0, 4, 4, 4, 1, 2, 4, 0, 0, 4, 3, 1, 3, 0, 1, 3, 0, 2, 0, 1, 1, 3, 3, 3, 1, 0, 3, 3, 2, 4, 1, 1, 1, 1, 2, 3, 4, 0, 4, 4, 1, 1, 2, 3, 3, 4, 4, 1, 0, 1, 3, 2, 0, 1, 3, 4, 0, 1, 4, 3, 1, 1, 2, 4] pubkeycol690 = [1, 1, 4, 3, 2, 4, 2, 4, 2, 1, 2, 3, 3, 3, 3, 2, 1, 3, 4, 1, 1, 0, 3, 4, 4, 2, 3, 2, 3, 2, 2, 1, 4, 2, 4, 4, 2, 3, 1, 3, 3, 4, 0, 0, 3, 2, 2, 4, 3, 0, 1, 1, 1, 4, 3, 1, 0, 4, 1, 2, 4, 1, 3, 4, 4, 1, 0, 2, 1, 0, 3, 4, 2, 4, 2, 0, 4, 0, 3, 0, 0, 0, 3, 0, 1, 4, 2, 3, 2, 1, 0, 3, 2, 4, 0, 4, 1, 2, 2, 4, 4, 3, 0, 1, 4, 1, 3, 0, 4, 0, 3, 3, 0, 0, 2, 0, 4, 1, 1, 1, 1, 3, 3, 3, 0, 4, 1, 3, 4, 0, 0, 3, 4, 2, 1, 4, 3, 4, 3, 1, 2, 4, 4, 4, 4, 0, 2, 0, 4, 0, 0, 3, 3, 4, 1, 0, 0, 0, 3, 3, 4, 1, 2, 1, 4, 2, 4, 1, 3, 1, 0, 4, 1, 1, 1, 2, 3, 0, 4, 3, 2, 4, 0, 3, 1, 0, 2, 4, 1, 0, 3, 0, 2, 2, 1, 1, 1, 1, 3, 1, 0, 4, 4, 1, 4, 2, 3, 1, 2, 4, 3, 4, 1, 3, 4, 2, 4, 2, 4, 2, 0, 0, 0, 3, 4, 3, 4, 0, 2, 2, 4, 0, 0, 4, 3, 1, 4, 0, 0, 4, 3, 2, 4, 4, 3, 2, 4, 0, 0, 4, 1, 1, 0, 3, 3, 2, 2, 4, 4, 2, 1, 3, 1, 0, 4, 0, 3, 0, 2, 4, 3, 3, 4, 2, 1, 2, 4, 1, 4, 2, 4, 0, 4, 3, 3, 0, 3, 3, 4, 3, 3, 4, 0, 1, 3, 0, 4, 0, 0, 1, 3, 0, 4, 4, 2, 2, 1, 4, 0, 0, 2, 2, 0, 2, 2, 3, 1, 2, 4, 1, 3, 4, 0, 1, 4, 4, 3, 3, 0, 0, 0, 0, 2, 0, 1, 2, 3, 3, 0, 0, 2, 0, 3, 0, 1, 2, 0, 1, 3, 1, 0, 3, 2, 2, 2, 2, 4, 1, 1, 3, 4, 2, 1, 1, 2, 0, 3, 3, 1, 1, 0, 3, 0, 3, 1, 3, 2, 3, 2, 1, 2, 2, 4, 3, 1, 0, 4, 1, 0, 0, 0, 4, 0, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 1, 2, 0, 4, 3, 1, 4, 3, 0, 2, 3, 0, 0, 0, 3, 1, 3, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 4, 0, 0, 3, 1, 3, 3, 2, 2, 3, 4, 3, 2, 4, 2, 1, 0, 4, 2, 4, 3, 0, 1, 3, 1, 1, 2, 2, 3, 1, 2, 1, 3, 1, 4, 3, 0, 3, 2, 3, 1, 4, 1, 2, 0, 4, 4, 4, 0, 3] pubkeycol691 = [4, 1, 1, 2, 3, 4, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 4, 2, 2, 3, 4, 3, 2, 0, 2, 2, 3, 2, 2, 0, 1, 2, 4, 2, 3, 0, 3, 4, 1, 3, 0, 3, 2, 3, 2, 1, 1, 2, 4, 0, 2, 0, 0, 1, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 3, 1, 1, 0, 1, 3, 1, 2, 4, 3, 0, 3, 2, 3, 3, 3, 3, 3, 3, 0, 2, 4, 1, 2, 3, 2, 2, 2, 4, 4, 4, 3, 0, 3, 2, 4, 1, 1, 4, 3, 1, 0, 0, 0, 1, 3, 2, 3, 2, 1, 0, 3, 4, 2, 3, 2, 4, 3, 2, 1, 4, 4, 1, 1, 0, 0, 0, 3, 2, 2, 3, 4, 0, 4, 1, 4, 3, 3, 4, 1, 0, 3, 1, 2, 2, 1, 0, 2, 1, 4, 2, 4, 3, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 4, 0, 0, 1, 3, 1, 2, 2, 3, 0, 3, 3, 4, 4, 1, 0, 1, 3, 0, 2, 4, 3, 2, 2, 1, 3, 4, 3, 2, 0, 1, 4, 0, 3, 2, 4, 3, 1, 4, 3, 4, 1, 1, 3, 2, 2, 3, 0, 2, 3, 1, 4, 3, 3, 0, 0, 4, 4, 1, 4, 0, 4, 2, 4, 2, 1, 4, 2, 2, 1, 3, 0, 0, 2, 3, 1, 3, 3, 0, 2, 4, 2, 3, 1, 3, 3, 3, 2, 1, 1, 1, 4, 0, 3, 2, 3, 0, 2, 0, 0, 1, 0, 1, 0, 4, 3, 2, 3, 3, 2, 1, 3, 0, 1, 0, 3, 4, 3, 4, 2, 1, 2, 4, 1, 2, 4, 1, 1, 2, 0, 3, 3, 0, 3, 4, 4, 2, 1, 2, 2, 4, 4, 3, 4, 3, 1, 4, 2, 1, 4, 0, 3, 4, 4, 4, 3, 0, 1, 4, 3, 1, 2, 3, 3, 0, 1, 1, 4, 2, 0, 2, 4, 0, 1, 4, 1, 0, 2, 4, 4, 4, 0, 2, 2, 3, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 4, 4, 3, 2, 2, 4, 4, 3, 3, 2, 4, 2, 4, 2, 4, 2, 4, 4, 0, 4, 3, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 1, 0, 1, 1, 4, 3, 2, 4, 4, 1, 3, 3, 2, 3, 3, 4, 4, 1, 4, 4, 3, 0, 2, 2, 3, 3, 1, 3, 1, 4, 2, 3, 1, 0, 1, 0, 1, 4, 0, 4, 3, 0, 4, 3, 3, 1, 0, 1, 4, 1, 4, 2, 1, 1, 0, 0, 3, 0, 4, 2, 2, 4, 4, 3, 1, 4, 1, 2, 3, 0, 3, 2, 3, 3, 4, 2, 0, 0, 1, 0] pubkeycol692 = [0, 4, 3, 1, 0, 4, 3, 4, 3, 4, 2, 4, 3, 3, 3, 0, 3, 3, 3, 4, 1, 1, 3, 4, 4, 0, 3, 1, 3, 4, 2, 1, 4, 2, 2, 0, 2, 3, 0, 1, 4, 3, 0, 1, 0, 2, 0, 1, 4, 4, 3, 2, 0, 1, 2, 2, 0, 1, 2, 4, 3, 2, 2, 2, 4, 3, 3, 0, 1, 2, 0, 4, 1, 2, 2, 2, 2, 0, 0, 1, 4, 0, 3, 1, 3, 2, 2, 4, 1, 3, 2, 1, 4, 4, 1, 2, 1, 2, 4, 2, 0, 0, 2, 3, 2, 2, 4, 4, 0, 3, 4, 3, 3, 1, 1, 2, 0, 4, 0, 4, 3, 3, 3, 3, 2, 3, 3, 4, 0, 2, 1, 1, 1, 3, 0, 4, 3, 0, 2, 0, 0, 3, 2, 4, 0, 4, 2, 0, 3, 3, 3, 2, 2, 4, 2, 4, 2, 0, 2, 1, 4, 4, 4, 0, 4, 4, 1, 4, 3, 2, 4, 0, 3, 3, 4, 4, 2, 4, 4, 2, 3, 2, 1, 4, 3, 2, 3, 1, 3, 3, 1, 0, 0, 1, 2, 2, 0, 4, 4, 2, 0, 1, 2, 4, 1, 4, 0, 1, 3, 3, 1, 0, 4, 4, 2, 2, 3, 2, 1, 3, 3, 2, 0, 4, 3, 2, 4, 0, 4, 2, 1, 2, 2, 3, 0, 1, 4, 1, 2, 2, 3, 3, 1, 1, 0, 4, 1, 2, 0, 3, 3, 3, 2, 0, 1, 1, 3, 4, 3, 4, 2, 4, 3, 4, 2, 4, 1, 2, 1, 3, 1, 3, 4, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 4, 2, 0, 3, 2, 4, 2, 4, 3, 0, 1, 4, 4, 4, 2, 4, 1, 0, 4, 1, 3, 2, 2, 4, 2, 3, 1, 0, 3, 3, 0, 3, 1, 0, 4, 4, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 3, 3, 2, 4, 0, 4, 2, 1, 3, 0, 2, 3, 3, 1, 2, 1, 2, 2, 2, 1, 2, 1, 4, 2, 2, 4, 3, 4, 1, 2, 2, 0, 0, 4, 2, 2, 3, 1, 0, 1, 3, 2, 0, 3, 4, 1, 3, 2, 3, 2, 4, 2, 2, 2, 2, 3, 1, 0, 1, 2, 3, 0, 2, 3, 4, 4, 0, 4, 2, 3, 4, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 3, 4, 4, 0, 4, 4, 3, 4, 2, 4, 4, 2, 3, 2, 0, 0, 3, 1, 2, 1, 0, 4, 0, 4, 0, 3, 3, 3, 2, 3, 2, 1, 2, 0, 0, 0, 0, 4, 4, 3, 3, 0, 2, 2, 2, 3, 2, 3, 3, 1, 1, 2, 3, 0, 3, 2, 3, 3, 2, 4, 2, 3, 4, 1, 2, 3, 2] pubkeycol693 = [2, 4, 4, 0, 4, 1, 3, 0, 3, 3, 4, 4, 1, 3, 3, 1, 4, 4, 0, 2, 4, 3, 3, 2, 3, 0, 1, 0, 1, 0, 0, 3, 3, 2, 2, 2, 3, 4, 3, 0, 1, 4, 4, 1, 0, 3, 2, 3, 0, 0, 0, 3, 4, 3, 1, 4, 4, 3, 2, 3, 4, 1, 0, 0, 1, 0, 1, 2, 1, 3, 0, 4, 1, 3, 4, 2, 2, 2, 0, 4, 4, 2, 3, 3, 2, 4, 1, 1, 1, 4, 4, 2, 4, 4, 4, 4, 1, 2, 1, 4, 0, 3, 2, 2, 0, 4, 0, 1, 0, 1, 1, 0, 3, 1, 4, 0, 4, 0, 4, 1, 2, 2, 0, 0, 1, 3, 4, 2, 1, 4, 3, 3, 4, 2, 4, 1, 1, 2, 1, 4, 4, 3, 4, 3, 3, 2, 4, 0, 4, 0, 3, 0, 4, 0, 4, 2, 2, 3, 2, 0, 2, 2, 4, 1, 1, 0, 3, 3, 0, 3, 1, 1, 4, 4, 0, 0, 4, 2, 2, 2, 2, 1, 2, 2, 1, 3, 0, 4, 3, 0, 4, 0, 4, 0, 4, 3, 3, 2, 0, 1, 0, 4, 1, 3, 3, 4, 2, 4, 3, 0, 1, 0, 4, 2, 3, 2, 0, 1, 3, 3, 3, 3, 3, 2, 1, 0, 3, 1, 4, 2, 2, 1, 4, 3, 4, 0, 2, 0, 1, 4, 0, 1, 2, 3, 3, 2, 2, 4, 4, 1, 2, 0, 1, 3, 1, 2, 1, 4, 3, 3, 1, 1, 3, 0, 4, 2, 4, 1, 1, 4, 4, 2, 0, 4, 4, 2, 0, 1, 2, 0, 1, 4, 3, 3, 0, 4, 4, 3, 1, 4, 1, 0, 1, 3, 4, 1, 0, 3, 4, 0, 0, 3, 1, 1, 2, 3, 4, 3, 2, 2, 4, 2, 0, 4, 1, 3, 2, 2, 0, 1, 0, 3, 3, 4, 4, 2, 1, 0, 0, 0, 0, 3, 0, 3, 2, 4, 2, 1, 0, 4, 4, 1, 3, 4, 0, 0, 1, 4, 0, 1, 4, 2, 2, 2, 0, 2, 4, 4, 0, 3, 0, 4, 3, 3, 0, 1, 3, 1, 0, 0, 2, 3, 0, 4, 1, 0, 0, 2, 3, 0, 0, 1, 4, 0, 2, 2, 1, 3, 0, 1, 0, 2, 2, 2, 4, 2, 0, 4, 4, 1, 2, 1, 0, 1, 1, 4, 4, 4, 3, 4, 4, 1, 4, 2, 2, 3, 4, 0, 3, 1, 2, 4, 3, 0, 2, 1, 2, 1, 4, 2, 4, 1, 4, 2, 0, 4, 1, 4, 1, 1, 4, 4, 3, 2, 4, 0, 0, 3, 4, 3, 2, 3, 0, 0, 0, 3, 4, 0, 2, 2, 2, 4, 0, 3, 3, 0, 0, 2, 1, 1, 0, 3, 3, 2, 1, 0, 4, 2, 2, 4] pubkeycol694 = [2, 4, 3, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 3, 0, 1, 4, 2, 0, 3, 3, 1, 3, 0, 1, 3, 3, 2, 1, 3, 4, 4, 4, 1, 1, 0, 4, 3, 0, 2, 0, 0, 4, 3, 3, 1, 0, 2, 2, 4, 4, 2, 4, 2, 3, 0, 3, 4, 1, 3, 3, 0, 3, 4, 0, 1, 1, 3, 0, 4, 4, 4, 4, 4, 4, 3, 4, 0, 2, 4, 2, 2, 2, 3, 0, 3, 1, 1, 3, 0, 0, 1, 4, 4, 0, 4, 1, 4, 2, 3, 0, 0, 1, 0, 3, 3, 2, 2, 3, 4, 4, 3, 1, 0, 4, 2, 2, 1, 3, 4, 2, 4, 3, 2, 1, 2, 0, 3, 4, 2, 2, 3, 3, 3, 2, 4, 3, 1, 4, 4, 3, 3, 0, 0, 2, 3, 1, 0, 1, 2, 4, 1, 2, 3, 4, 2, 1, 0, 2, 3, 3, 2, 3, 2, 0, 0, 0, 1, 0, 0, 4, 1, 1, 0, 4, 2, 4, 1, 4, 2, 0, 1, 4, 0, 0, 1, 3, 0, 1, 4, 3, 3, 2, 3, 0, 1, 2, 1, 0, 4, 1, 1, 3, 1, 0, 4, 2, 0, 4, 1, 0, 4, 0, 4, 4, 4, 2, 0, 0, 3, 3, 3, 4, 1, 1, 0, 1, 3, 0, 1, 0, 4, 2, 1, 4, 4, 4, 4, 0, 2, 4, 1, 2, 1, 3, 3, 3, 2, 2, 4, 1, 1, 0, 4, 1, 2, 0, 3, 1, 0, 0, 3, 2, 3, 0, 4, 1, 4, 2, 0, 1, 0, 1, 1, 3, 3, 1, 4, 4, 4, 4, 3, 0, 4, 2, 0, 0, 2, 4, 3, 1, 3, 1, 2, 4, 2, 2, 3, 0, 2, 3, 1, 2, 1, 0, 3, 2, 4, 3, 0, 4, 3, 0, 0, 3, 1, 0, 1, 3, 1, 2, 1, 1, 1, 4, 1, 4, 3, 3, 0, 1, 2, 4, 0, 2, 4, 1, 2, 2, 3, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 4, 3, 2, 0, 2, 1, 0, 3, 2, 1, 3, 1, 1, 3, 2, 4, 0, 3, 2, 3, 1, 2, 0, 2, 1, 4, 4, 4, 4, 2, 4, 4, 1, 0, 4, 1, 0, 2, 1, 3, 2, 0, 4, 1, 0, 1, 2, 1, 3, 1, 4, 3, 4, 2, 2, 0, 1, 4, 0, 0, 1, 4, 1, 1, 4, 3, 1, 0, 4, 1, 3, 4, 1, 3, 2, 2, 4, 1, 2, 3, 0, 4, 4, 3, 2, 1, 0, 0, 2, 4, 2, 2, 4, 4, 0, 4, 1, 4, 1, 3, 2, 2, 2, 4, 0, 0, 1, 0, 3, 4, 2, 2, 4, 4, 1, 1, 1, 0, 3, 0, 1, 0, 2, 4, 4, 1, 1, 4, 3] pubkeycol695 = [0, 3, 3, 4, 2, 1, 3, 3, 0, 4, 1, 4, 3, 3, 0, 1, 2, 2, 0, 1, 2, 4, 4, 1, 0, 0, 4, 2, 4, 0, 4, 1, 4, 1, 4, 0, 4, 0, 1, 1, 1, 2, 4, 0, 1, 3, 3, 3, 4, 1, 2, 0, 0, 0, 4, 0, 1, 4, 2, 3, 3, 1, 3, 3, 3, 1, 1, 3, 0, 2, 4, 1, 3, 4, 0, 2, 3, 0, 3, 3, 3, 0, 4, 1, 3, 3, 2, 1, 4, 1, 4, 3, 4, 3, 3, 3, 1, 4, 3, 1, 1, 4, 3, 2, 0, 0, 2, 0, 3, 3, 4, 4, 2, 4, 0, 1, 0, 0, 4, 0, 4, 2, 0, 1, 2, 0, 3, 0, 1, 2, 1, 2, 3, 0, 0, 2, 3, 0, 2, 2, 4, 0, 4, 2, 1, 3, 1, 2, 1, 3, 2, 3, 4, 3, 0, 1, 1, 1, 4, 4, 2, 2, 4, 4, 2, 4, 1, 1, 3, 1, 4, 4, 4, 2, 0, 2, 1, 2, 3, 2, 3, 1, 1, 1, 0, 1, 1, 1, 2, 4, 0, 4, 0, 1, 2, 3, 0, 2, 2, 4, 3, 2, 4, 2, 2, 2, 4, 4, 2, 3, 2, 3, 1, 2, 1, 1, 0, 4, 4, 1, 3, 3, 3, 1, 1, 4, 1, 0, 1, 1, 3, 2, 0, 3, 2, 1, 0, 4, 3, 0, 1, 1, 1, 4, 1, 2, 0, 0, 1, 0, 2, 0, 4, 1, 4, 1, 1, 0, 3, 4, 2, 1, 4, 0, 4, 0, 4, 4, 4, 4, 1, 4, 3, 1, 2, 2, 2, 1, 1, 3, 4, 3, 3, 3, 0, 0, 3, 0, 3, 4, 0, 0, 4, 2, 3, 0, 0, 0, 1, 4, 4, 1, 0, 0, 4, 0, 3, 3, 3, 3, 4, 1, 2, 2, 0, 4, 2, 2, 4, 3, 2, 0, 1, 3, 2, 3, 4, 3, 3, 2, 0, 0, 2, 4, 1, 4, 4, 1, 4, 0, 1, 2, 1, 0, 1, 0, 4, 0, 2, 2, 4, 0, 4, 1, 2, 1, 4, 3, 2, 0, 2, 1, 2, 3, 2, 2, 4, 1, 2, 3, 2, 0, 3, 2, 4, 2, 0, 3, 2, 1, 0, 0, 4, 0, 1, 4, 0, 2, 1, 0, 4, 2, 4, 0, 3, 2, 2, 4, 0, 2, 3, 1, 4, 3, 3, 2, 4, 0, 3, 2, 4, 1, 1, 2, 1, 3, 3, 4, 2, 3, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 4, 0, 0, 2, 2, 3, 0, 4, 0, 4, 2, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 2, 3, 0, 3, 3, 2, 0, 3, 2, 1, 2, 0, 2, 4, 3, 1, 0, 0, 3, 1, 2, 2, 0, 4, 4, 2, 2, 0, 4] pubkeycol696 = [3, 4, 0, 0, 0, 1, 1, 0, 0, 2, 3, 1, 3, 2, 2, 0, 0, 2, 4, 4, 3, 4, 1, 2, 2, 3, 3, 4, 1, 2, 3, 0, 0, 3, 4, 3, 2, 3, 1, 3, 3, 0, 3, 3, 3, 4, 2, 4, 3, 4, 0, 1, 3, 1, 1, 3, 2, 0, 1, 2, 1, 2, 1, 3, 2, 3, 4, 0, 2, 2, 2, 3, 0, 3, 0, 0, 0, 2, 1, 2, 0, 1, 4, 1, 2, 2, 4, 4, 3, 1, 3, 0, 0, 3, 1, 2, 0, 1, 3, 1, 3, 2, 3, 1, 4, 3, 0, 2, 4, 4, 2, 3, 3, 3, 1, 0, 0, 2, 2, 2, 2, 4, 3, 2, 0, 1, 1, 2, 4, 3, 3, 2, 0, 0, 4, 4, 0, 0, 2, 2, 3, 4, 2, 1, 1, 3, 1, 0, 2, 2, 1, 1, 4, 0, 4, 0, 4, 1, 4, 1, 2, 1, 4, 0, 3, 2, 1, 2, 1, 1, 1, 1, 2, 3, 4, 2, 2, 4, 4, 2, 2, 3, 2, 0, 4, 3, 0, 0, 4, 1, 1, 4, 4, 0, 3, 3, 4, 2, 0, 3, 1, 0, 2, 2, 0, 3, 2, 2, 3, 2, 0, 0, 4, 1, 0, 4, 1, 4, 4, 0, 4, 0, 1, 3, 1, 2, 0, 3, 3, 2, 3, 3, 0, 1, 3, 0, 3, 1, 3, 3, 4, 3, 0, 2, 2, 1, 2, 3, 0, 1, 1, 1, 3, 1, 1, 2, 2, 1, 3, 3, 3, 4, 1, 4, 3, 3, 1, 2, 2, 3, 2, 0, 1, 4, 4, 0, 3, 0, 0, 4, 3, 2, 3, 1, 2, 2, 1, 0, 3, 1, 2, 3, 2, 2, 1, 0, 4, 4, 2, 0, 0, 1, 3, 0, 0, 1, 1, 1, 0, 4, 1, 1, 4, 3, 3, 1, 3, 3, 1, 3, 2, 0, 2, 2, 3, 2, 2, 1, 0, 3, 2, 0, 2, 2, 0, 3, 1, 4, 1, 1, 2, 3, 4, 3, 2, 4, 3, 4, 3, 4, 4, 2, 2, 3, 1, 0, 4, 2, 3, 4, 2, 4, 3, 3, 3, 4, 4, 3, 4, 4, 0, 3, 1, 1, 2, 1, 4, 1, 4, 4, 0, 1, 0, 4, 0, 0, 3, 2, 3, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 4, 2, 1, 0, 2, 2, 1, 4, 2, 2, 0, 0, 1, 4, 0, 0, 4, 3, 3, 3, 2, 1, 3, 2, 3, 3, 1, 1, 4, 0, 3, 0, 3, 2, 0, 1, 3, 0, 1, 1, 1, 2, 1, 0, 2, 1, 4, 3, 3, 0, 1, 2, 1, 4, 4, 2, 2, 4, 1, 0, 0, 2, 2, 0, 4, 2, 4, 0, 1, 0, 0, 2, 0] pubkeycol697 = [1, 0, 1, 4, 1, 0, 1, 0, 0, 3, 3, 3, 1, 0, 4, 3, 3, 0, 2, 0, 2, 3, 4, 4, 2, 2, 2, 2, 4, 3, 0, 2, 4, 0, 0, 1, 2, 3, 4, 4, 2, 1, 1, 2, 0, 4, 0, 0, 1, 1, 1, 0, 4, 1, 3, 2, 2, 3, 1, 2, 3, 2, 2, 2, 1, 4, 3, 1, 0, 2, 3, 4, 0, 4, 3, 4, 1, 0, 3, 0, 0, 4, 2, 0, 1, 2, 2, 2, 3, 4, 0, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 0, 1, 0, 4, 3, 4, 4, 2, 0, 4, 0, 4, 0, 1, 1, 4, 1, 3, 3, 4, 2, 4, 1, 4, 0, 0, 2, 2, 4, 0, 2, 0, 4, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 3, 1, 2, 3, 3, 1, 1, 0, 1, 0, 4, 0, 3, 4, 4, 4, 3, 2, 4, 2, 4, 1, 2, 4, 2, 2, 1, 0, 0, 1, 2, 2, 1, 3, 2, 0, 0, 0, 0, 4, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 3, 0, 4, 2, 3, 0, 0, 1, 1, 3, 4, 0, 1, 2, 2, 3, 3, 3, 4, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 4, 1, 2, 0, 0, 0, 4, 4, 4, 3, 0, 2, 0, 1, 2, 0, 3, 2, 2, 4, 1, 0, 4, 4, 1, 0, 2, 4, 1, 1, 1, 0, 3, 0, 2, 4, 1, 0, 4, 0, 2, 3, 1, 1, 4, 4, 0, 4, 1, 2, 3, 4, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 4, 4, 0, 3, 1, 3, 0, 1, 1, 4, 3, 4, 4, 3, 4, 1, 1, 3, 1, 2, 4, 0, 3, 4, 2, 4, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 3, 2, 2, 0, 2, 1, 4, 3, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 0, 2, 4, 0, 0, 0, 3, 3, 2, 2, 0, 1, 1, 4, 1, 4, 0, 0, 3, 1, 1, 0, 0, 0, 2, 2, 0, 2, 4, 3, 4, 1, 0, 3, 3, 1, 4, 1, 3, 2, 1, 3, 3, 1, 4, 2, 0, 3, 1, 1, 0, 4, 4, 4, 2, 2, 4, 2, 3, 3, 2, 4, 2, 0, 2, 0, 3, 1, 1, 0, 3, 1, 3, 1, 4, 0, 4, 1, 1, 0, 3, 2, 1, 2, 1, 4, 1, 1, 2, 4, 4, 4, 4, 0, 2, 3, 3, 1, 0, 2, 2, 3, 4, 0, 3, 2, 3, 4, 4, 3, 3, 1, 3, 0, 2, 2, 2, 3, 3, 0, 1, 0, 0, 1, 2, 0, 3, 4, 2, 3, 2, 4, 1, 0, 2, 2, 0] pubkeycol698 = [1, 0, 4, 1, 4, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 3, 2, 2, 0, 0, 2, 3, 2, 2, 4, 2, 0, 4, 3, 2, 0, 1, 4, 1, 2, 1, 4, 4, 2, 1, 2, 0, 2, 2, 2, 1, 4, 2, 3, 0, 2, 1, 1, 4, 4, 0, 0, 3, 1, 0, 3, 0, 3, 4, 2, 3, 0, 2, 3, 4, 4, 0, 2, 1, 2, 2, 3, 3, 3, 4, 2, 1, 2, 1, 0, 4, 2, 3, 3, 4, 3, 1, 2, 4, 4, 2, 4, 2, 0, 4, 2, 3, 2, 4, 2, 0, 2, 1, 2, 2, 0, 1, 1, 4, 3, 4, 2, 3, 2, 4, 1, 3, 1, 2, 2, 4, 4, 3, 2, 1, 4, 0, 4, 2, 4, 1, 0, 0, 0, 1, 4, 1, 0, 0, 1, 2, 3, 3, 2, 3, 0, 1, 1, 2, 1, 3, 4, 4, 0, 0, 3, 1, 2, 2, 3, 0, 1, 2, 3, 4, 2, 3, 1, 4, 2, 4, 3, 1, 4, 1, 0, 3, 1, 2, 1, 2, 2, 2, 4, 1, 3, 4, 0, 2, 4, 3, 3, 4, 1, 1, 3, 4, 1, 3, 4, 2, 3, 3, 2, 1, 3, 2, 2, 0, 4, 0, 0, 4, 4, 1, 0, 4, 3, 4, 0, 2, 4, 3, 2, 4, 4, 2, 3, 0, 3, 2, 1, 3, 1, 4, 1, 2, 1, 0, 0, 1, 0, 3, 3, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 3, 3, 3, 4, 1, 4, 0, 3, 4, 3, 0, 4, 0, 3, 4, 3, 4, 2, 2, 4, 3, 3, 1, 0, 0, 0, 1, 4, 3, 2, 4, 0, 1, 3, 3, 3, 4, 1, 2, 1, 3, 2, 1, 1, 2, 4, 2, 1, 3, 3, 4, 3, 2, 3, 0, 3, 1, 3, 1, 3, 0, 4, 2, 3, 2, 3, 3, 2, 0, 2, 3, 4, 3, 3, 4, 1, 1, 3, 4, 1, 3, 1, 2, 2, 0, 3, 3, 0, 3, 4, 4, 4, 1, 1, 0, 1, 2, 3, 2, 4, 2, 4, 3, 2, 2, 2, 1, 1, 3, 2, 3, 2, 2, 2, 1, 0, 4, 1, 0, 3, 4, 1, 2, 3, 4, 1, 0, 2, 0, 0, 1, 1, 4, 4, 1, 3, 2, 3, 4, 4, 2, 4, 3, 2, 0, 3, 4, 2, 3, 0, 3, 4, 2, 0, 2, 0, 1, 3, 4, 0, 0, 0, 0, 4, 3, 3, 4, 3, 4, 1, 1, 3, 2, 4, 0, 4, 1, 2, 1, 3, 2, 3, 0, 0, 0, 1, 3, 1, 1, 4, 0, 3, 0, 0, 1, 3, 4, 2, 3, 0, 4, 0, 3, 2, 3, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 3, 2] pubkeycol699 = [0, 4, 1, 3, 1, 2, 2, 2, 4, 4, 4, 2, 2, 0, 2, 4, 0, 2, 0, 1, 2, 4, 0, 0, 4, 4, 4, 2, 1, 3, 3, 4, 3, 3, 4, 0, 2, 3, 3, 3, 1, 4, 2, 0, 2, 2, 0, 2, 4, 1, 3, 0, 2, 4, 1, 0, 0, 1, 3, 4, 4, 3, 4, 0, 1, 2, 0, 2, 4, 0, 3, 1, 4, 2, 3, 4, 4, 4, 3, 0, 3, 3, 2, 4, 2, 2, 3, 4, 1, 3, 1, 3, 3, 2, 3, 3, 4, 1, 1, 2, 4, 2, 3, 0, 0, 1, 4, 0, 2, 4, 2, 2, 0, 0, 2, 3, 2, 0, 0, 0, 3, 2, 0, 3, 1, 3, 2, 4, 4, 4, 4, 0, 0, 3, 4, 1, 2, 3, 4, 4, 1, 4, 1, 1, 2, 1, 4, 4, 1, 4, 3, 4, 0, 2, 1, 1, 0, 1, 3, 4, 3, 0, 0, 1, 0, 2, 3, 1, 3, 3, 3, 4, 1, 4, 1, 1, 1, 1, 3, 3, 3, 1, 1, 2, 1, 0, 2, 0, 1, 4, 1, 4, 4, 1, 4, 3, 3, 0, 4, 2, 0, 4, 2, 4, 0, 2, 3, 4, 4, 0, 0, 3, 3, 4, 4, 2, 1, 3, 1, 1, 4, 2, 2, 0, 2, 0, 2, 1, 0, 1, 4, 1, 0, 4, 0, 1, 3, 2, 4, 2, 1, 0, 3, 1, 4, 1, 3, 4, 2, 1, 4, 4, 0, 0, 4, 3, 1, 4, 0, 2, 2, 0, 1, 2, 4, 4, 1, 3, 3, 0, 1, 0, 2, 1, 2, 4, 3, 4, 2, 2, 4, 0, 0, 4, 0, 3, 1, 1, 2, 3, 4, 1, 2, 2, 4, 3, 0, 1, 1, 2, 4, 2, 2, 3, 2, 2, 3, 4, 0, 0, 2, 1, 1, 2, 3, 4, 2, 0, 0, 1, 0, 3, 4, 3, 4, 1, 0, 1, 0, 4, 1, 3, 3, 2, 2, 0, 3, 2, 2, 0, 1, 2, 2, 2, 2, 3, 1, 0, 4, 1, 2, 3, 4, 0, 0, 3, 4, 2, 1, 1, 4, 2, 4, 1, 1, 1, 0, 3, 3, 2, 0, 0, 3, 4, 0, 0, 1, 4, 4, 3, 1, 3, 0, 0, 3, 4, 2, 3, 3, 4, 2, 4, 0, 4, 4, 0, 4, 0, 0, 2, 4, 0, 4, 3, 0, 2, 2, 4, 2, 4, 4, 1, 0, 0, 0, 2, 3, 0, 0, 2, 1, 0, 0, 3, 1, 4, 2, 0, 2, 1, 3, 2, 2, 2, 3, 3, 3, 1, 4, 2, 2, 3, 1, 4, 0, 1, 3, 1, 4, 1, 2, 4, 3, 3, 0, 2, 4, 4, 4, 2, 4, 3, 2, 2, 2, 1, 0, 1, 1, 0, 0, 3, 4, 4, 4, 1, 3, 0, 4, 3] pubkeycol700 = [0, 3, 1, 4, 3, 1, 1, 2, 2, 2, 4, 2, 0, 0, 4, 0, 1, 2, 1, 3, 0, 0, 1, 0, 2, 3, 2, 0, 1, 2, 4, 3, 0, 0, 1, 3, 2, 1, 4, 2, 2, 0, 3, 4, 4, 3, 3, 3, 0, 1, 3, 3, 3, 0, 2, 0, 2, 2, 4, 3, 0, 1, 0, 2, 4, 4, 1, 0, 0, 1, 2, 4, 1, 1, 0, 3, 2, 2, 2, 1, 4, 0, 4, 1, 3, 1, 4, 3, 0, 1, 4, 0, 2, 0, 2, 0, 3, 4, 1, 3, 2, 0, 2, 4, 0, 2, 0, 1, 1, 3, 4, 2, 0, 1, 1, 1, 3, 4, 3, 1, 2, 1, 1, 1, 0, 0, 3, 2, 3, 4, 0, 2, 2, 3, 3, 1, 2, 3, 1, 1, 2, 1, 4, 3, 2, 2, 4, 3, 4, 1, 2, 4, 2, 2, 1, 2, 2, 3, 4, 2, 0, 0, 1, 1, 1, 3, 2, 3, 1, 3, 0, 4, 2, 4, 3, 2, 1, 2, 0, 0, 2, 3, 2, 4, 4, 3, 1, 0, 2, 2, 3, 3, 1, 3, 3, 4, 3, 2, 0, 1, 3, 1, 0, 2, 4, 3, 3, 1, 4, 3, 2, 3, 4, 4, 0, 1, 1, 2, 3, 4, 3, 4, 2, 2, 4, 1, 4, 4, 1, 2, 1, 4, 3, 3, 3, 2, 3, 1, 2, 4, 2, 2, 1, 1, 4, 4, 0, 2, 4, 1, 3, 4, 2, 1, 3, 0, 0, 2, 3, 2, 3, 1, 0, 3, 4, 2, 1, 2, 4, 4, 1, 1, 3, 1, 0, 1, 4, 4, 1, 2, 2, 2, 3, 1, 0, 4, 4, 2, 0, 2, 4, 0, 4, 1, 1, 2, 0, 4, 2, 4, 4, 2, 0, 3, 3, 3, 4, 4, 1, 0, 1, 1, 4, 2, 4, 1, 1, 2, 0, 2, 2, 1, 0, 3, 1, 1, 0, 0, 2, 3, 3, 3, 2, 1, 4, 2, 0, 2, 0, 1, 0, 4, 0, 2, 2, 4, 2, 1, 4, 1, 3, 3, 0, 1, 3, 0, 0, 3, 1, 3, 4, 4, 4, 4, 2, 2, 4, 4, 3, 1, 3, 3, 4, 4, 1, 3, 0, 2, 2, 2, 1, 3, 2, 0, 2, 4, 3, 4, 2, 3, 0, 3, 4, 4, 2, 1, 4, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 3, 0, 4, 1, 1, 2, 1, 3, 3, 2, 0, 1, 4, 1, 4, 0, 0, 1, 3, 3, 0, 1, 1, 0, 4, 1, 1, 3, 4, 1, 0, 3, 2, 1, 1, 0, 1, 0, 3, 3, 0, 0, 0, 1, 4, 4, 3, 4, 0, 0, 2, 3, 2, 3, 3, 0, 3, 1, 1, 1, 4, 1, 2, 0, 1, 0, 0, 0, 2, 2, 4, 0, 3] pubkeycol701 = [1, 3, 1, 4, 1, 1, 4, 4, 0, 2, 0, 1, 2, 1, 4, 0, 2, 2, 0, 1, 0, 2, 4, 4, 1, 1, 0, 2, 0, 2, 3, 0, 1, 4, 4, 3, 4, 1, 2, 2, 0, 2, 2, 1, 2, 4, 0, 4, 0, 4, 4, 0, 1, 2, 2, 1, 2, 4, 0, 1, 2, 3, 2, 3, 1, 0, 4, 0, 3, 3, 1, 3, 0, 0, 0, 3, 1, 3, 1, 0, 4, 4, 3, 1, 0, 3, 2, 0, 0, 3, 0, 3, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 3, 2, 4, 1, 0, 3, 2, 1, 1, 2, 3, 2, 3, 4, 0, 4, 3, 2, 3, 3, 4, 3, 3, 2, 2, 3, 0, 4, 4, 3, 3, 1, 0, 1, 2, 2, 3, 4, 0, 4, 1, 3, 4, 2, 3, 3, 4, 0, 3, 1, 3, 1, 1, 0, 1, 1, 1, 2, 2, 4, 1, 4, 3, 3, 2, 1, 1, 3, 4, 4, 0, 4, 3, 0, 0, 4, 2, 0, 2, 2, 2, 3, 1, 3, 2, 3, 0, 1, 3, 2, 3, 2, 4, 2, 4, 2, 1, 4, 1, 2, 4, 2, 2, 0, 0, 4, 4, 3, 2, 1, 4, 4, 3, 1, 2, 2, 0, 3, 3, 2, 0, 2, 0, 3, 2, 1, 1, 4, 2, 3, 4, 3, 2, 0, 4, 2, 3, 3, 4, 1, 2, 2, 3, 3, 2, 1, 4, 2, 1, 0, 4, 2, 0, 3, 1, 0, 2, 4, 2, 3, 3, 4, 3, 2, 3, 3, 2, 1, 0, 3, 4, 1, 0, 4, 1, 1, 0, 4, 0, 3, 0, 0, 4, 1, 3, 4, 4, 0, 1, 0, 3, 3, 0, 2, 2, 3, 4, 1, 2, 0, 0, 4, 4, 0, 3, 1, 3, 2, 1, 1, 2, 4, 3, 0, 4, 1, 1, 0, 4, 3, 4, 1, 2, 1, 3, 4, 4, 0, 4, 4, 3, 4, 3, 1, 2, 0, 3, 4, 1, 2, 2, 2, 4, 2, 4, 2, 1, 4, 4, 4, 4, 3, 0, 2, 0, 2, 1, 0, 0, 4, 3, 0, 2, 2, 0, 2, 0, 1, 1, 4, 0, 4, 3, 1, 4, 3, 2, 2, 0, 1, 2, 4, 0, 2, 0, 0, 2, 0, 0, 4, 4, 3, 0, 2, 1, 1, 3, 3, 3, 4, 1, 1, 1, 4, 1, 4, 4, 4, 3, 0, 4, 3, 1, 0, 0, 2, 1, 0, 1, 2, 0, 4, 1, 1, 1, 3, 4, 3, 1, 1, 4, 2, 3, 2, 3, 0, 1, 4, 0, 3, 2, 2, 4, 0, 4, 0, 4, 1, 0, 4, 1, 1, 4, 2, 0, 0, 4, 4, 4, 4, 1, 1, 3, 0, 1, 4, 2, 3, 0, 1, 4, 3, 0, 4, 0, 4] pubkeycol702 = [2, 0, 3, 4, 3, 4, 2, 0, 2, 0, 4, 3, 3, 0, 2, 0, 4, 3, 2, 1, 3, 4, 3, 1, 2, 2, 2, 0, 2, 2, 3, 2, 3, 4, 3, 3, 1, 2, 0, 1, 1, 3, 4, 4, 2, 3, 4, 3, 3, 0, 0, 4, 0, 3, 3, 0, 2, 4, 1, 0, 0, 3, 3, 0, 3, 3, 3, 3, 2, 4, 3, 0, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 0, 0, 0, 4, 1, 2, 1, 0, 2, 0, 4, 1, 4, 3, 4, 1, 0, 2, 1, 3, 2, 2, 4, 0, 3, 3, 3, 3, 1, 4, 2, 2, 0, 4, 1, 0, 1, 4, 4, 2, 1, 2, 2, 3, 3, 3, 1, 3, 4, 3, 2, 0, 4, 1, 3, 0, 0, 2, 1, 0, 4, 4, 3, 4, 0, 1, 4, 3, 3, 3, 1, 2, 4, 3, 1, 1, 3, 0, 0, 0, 1, 0, 0, 1, 3, 1, 1, 0, 4, 0, 3, 4, 0, 4, 0, 3, 0, 0, 1, 2, 0, 3, 4, 2, 4, 3, 0, 0, 0, 2, 3, 0, 1, 2, 1, 3, 4, 3, 4, 1, 1, 1, 3, 1, 2, 3, 4, 2, 0, 0, 1, 0, 1, 1, 0, 3, 0, 2, 0, 1, 3, 3, 3, 3, 2, 4, 3, 0, 1, 4, 3, 4, 2, 3, 3, 0, 0, 0, 1, 0, 0, 1, 0, 3, 1, 1, 2, 1, 3, 4, 3, 2, 1, 1, 1, 2, 0, 3, 3, 1, 4, 2, 3, 0, 1, 1, 2, 3, 3, 2, 1, 2, 0, 4, 1, 3, 1, 1, 0, 1, 2, 0, 2, 2, 3, 2, 3, 4, 4, 0, 3, 2, 3, 4, 2, 1, 1, 1, 4, 3, 4, 0, 3, 4, 0, 3, 4, 1, 0, 2, 4, 4, 0, 0, 1, 3, 0, 3, 1, 2, 1, 4, 0, 1, 1, 1, 0, 4, 1, 4, 4, 3, 0, 0, 0, 0, 2, 0, 4, 0, 2, 0, 4, 2, 3, 2, 4, 2, 1, 2, 4, 1, 0, 1, 1, 4, 4, 4, 1, 2, 3, 2, 3, 1, 2, 0, 4, 1, 3, 1, 4, 3, 4, 2, 1, 0, 3, 4, 2, 1, 2, 2, 1, 2, 1, 3, 0, 1, 0, 1, 0, 4, 2, 3, 3, 0, 2, 4, 2, 0, 3, 2, 0, 1, 3, 0, 0, 0, 1, 4, 1, 4, 1, 0, 3, 4, 2, 3, 0, 0, 3, 1, 0, 0, 1, 4, 1, 2, 3, 2, 4, 0, 0, 1, 4, 0, 1, 1, 2, 0, 0, 4, 2, 4, 4, 1, 1, 3, 4, 0, 4, 0, 0, 1, 2, 3, 2, 3, 3, 0, 2, 1, 3, 2, 0, 1, 0, 1, 0, 0, 1, 3, 1, 2, 4, 2, 4, 4] pubkeycol703 = [3, 3, 1, 2, 2, 4, 4, 2, 0, 1, 0, 0, 0, 3, 1, 4, 3, 4, 0, 3, 0, 0, 2, 3, 1, 1, 4, 1, 0, 1, 4, 3, 2, 0, 1, 3, 4, 3, 0, 0, 0, 3, 4, 4, 4, 4, 0, 1, 4, 0, 4, 4, 3, 3, 4, 2, 0, 1, 2, 3, 3, 4, 3, 1, 0, 1, 1, 0, 2, 1, 0, 3, 3, 3, 3, 2, 4, 4, 4, 0, 2, 2, 3, 1, 0, 1, 3, 1, 4, 4, 4, 3, 1, 2, 1, 0, 3, 2, 0, 2, 1, 3, 1, 2, 4, 3, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 3, 2, 2, 0, 0, 0, 2, 3, 4, 1, 3, 1, 4, 0, 1, 3, 4, 2, 3, 0, 3, 0, 4, 4, 2, 4, 4, 2, 2, 1, 4, 2, 4, 0, 3, 0, 1, 4, 4, 4, 4, 1, 4, 1, 4, 4, 4, 2, 4, 2, 3, 3, 3, 2, 0, 2, 4, 2, 4, 3, 3, 4, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 1, 3, 2, 4, 2, 0, 0, 1, 0, 3, 2, 1, 1, 3, 0, 1, 2, 1, 4, 2, 3, 3, 3, 0, 0, 4, 4, 0, 3, 2, 4, 0, 3, 0, 2, 2, 4, 2, 0, 2, 4, 0, 4, 0, 2, 0, 3, 3, 0, 3, 2, 3, 1, 0, 0, 1, 1, 1, 3, 2, 2, 3, 2, 3, 2, 0, 2, 1, 3, 0, 0, 4, 4, 4, 1, 1, 2, 1, 1, 3, 0, 3, 1, 2, 0, 4, 3, 3, 4, 4, 1, 1, 2, 1, 1, 0, 3, 0, 1, 3, 1, 2, 4, 1, 2, 2, 2, 2, 2, 2, 2, 4, 0, 2, 1, 1, 4, 2, 4, 1, 4, 4, 4, 4, 0, 1, 2, 1, 2, 4, 4, 1, 2, 0, 3, 0, 3, 4, 0, 4, 4, 1, 2, 2, 1, 0, 0, 0, 0, 4, 2, 3, 3, 2, 4, 2, 0, 0, 0, 0, 4, 0, 3, 4, 1, 0, 4, 1, 4, 2, 3, 4, 2, 2, 0, 0, 0, 2, 1, 3, 4, 4, 1, 0, 4, 1, 0, 2, 1, 0, 3, 3, 0, 0, 4, 1, 1, 0, 3, 4, 4, 4, 1, 4, 0, 3, 3, 4, 4, 0, 1, 4, 1, 3, 4, 1, 4, 4, 1, 4, 2, 2, 2, 3, 2, 3, 2, 1, 0, 3, 2, 4, 1, 4, 0, 3, 0, 4, 1, 0, 4, 2, 3, 3, 2, 4, 3, 2, 3, 1, 3, 4, 3, 3, 2, 1, 1, 2, 3, 4, 2, 1, 0, 3, 0, 4, 3, 3, 4, 2, 2, 0, 3, 4, 3, 2, 3, 1, 4, 2, 4, 4, 4, 3, 3, 0, 4, 1, 0, 1] pubkeycol704 = [0, 0, 0, 0, 3, 4, 0, 1, 4, 0, 4, 3, 3, 1, 0, 0, 4, 2, 3, 2, 2, 3, 2, 4, 1, 0, 4, 0, 0, 2, 1, 4, 0, 2, 1, 3, 1, 1, 3, 4, 1, 1, 2, 2, 3, 3, 3, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 4, 0, 4, 0, 0, 0, 1, 4, 3, 1, 0, 2, 1, 4, 0, 1, 3, 3, 2, 3, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 3, 0, 1, 4, 1, 1, 1, 2, 1, 0, 3, 2, 2, 1, 4, 4, 4, 3, 2, 2, 2, 3, 4, 0, 0, 2, 0, 1, 2, 3, 1, 2, 3, 1, 3, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 4, 2, 1, 2, 1, 0, 0, 1, 3, 2, 0, 4, 0, 4, 3, 0, 2, 2, 2, 4, 4, 0, 4, 0, 3, 0, 2, 1, 3, 1, 3, 2, 1, 0, 3, 0, 4, 2, 4, 1, 0, 2, 0, 4, 3, 2, 2, 2, 4, 1, 0, 2, 1, 1, 0, 4, 3, 0, 2, 0, 3, 2, 4, 4, 4, 2, 4, 1, 0, 1, 4, 4, 4, 2, 1, 3, 1, 3, 3, 1, 1, 2, 1, 0, 1, 4, 3, 4, 3, 0, 1, 2, 1, 0, 0, 1, 4, 4, 2, 3, 4, 3, 1, 4, 2, 3, 1, 2, 3, 1, 3, 3, 4, 3, 3, 4, 4, 2, 2, 4, 2, 0, 3, 0, 2, 2, 0, 2, 1, 1, 0, 1, 3, 3, 4, 2, 3, 3, 2, 3, 0, 4, 2, 3, 2, 1, 4, 4, 2, 1, 1, 3, 3, 4, 2, 3, 2, 3, 2, 2, 0, 1, 2, 2, 1, 3, 3, 4, 0, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 4, 2, 0, 4, 1, 1, 1, 1, 2, 3, 0, 4, 4, 4, 4, 1, 4, 3, 3, 0, 0, 2, 1, 2, 2, 3, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 3, 4, 1, 4, 0, 4, 0, 3, 0, 0, 3, 0, 2, 3, 0, 3, 1, 3, 2, 0, 2, 1, 0, 1, 4, 0, 1, 0, 1, 3, 0, 0, 0, 0, 3, 1, 0, 0, 2, 4, 2, 0, 0, 2, 2, 1, 0, 4, 2, 3, 0, 1, 2, 3, 2, 1, 1, 1, 4, 0, 4, 1, 0, 4, 2, 1, 0, 3, 2, 1, 2, 1, 3, 1, 1, 4, 0, 3, 1, 4, 1, 1, 0, 4, 4, 3, 3, 0, 1, 3, 0, 1, 3, 0, 3, 0, 0, 0, 3, 0, 2, 3, 1, 4, 1, 3, 0, 4, 4, 3, 1, 2, 4, 1, 0, 3, 0, 0, 3, 2, 0, 3, 1, 3, 1, 2] pubkeycol705 = [1, 2, 2, 3, 3, 4, 1, 4, 4, 2, 1, 2, 0, 3, 0, 3, 4, 4, 1, 3, 0, 3, 1, 3, 1, 3, 2, 0, 2, 4, 2, 1, 4, 0, 0, 0, 0, 2, 2, 1, 3, 3, 1, 4, 2, 4, 2, 4, 3, 4, 3, 1, 3, 0, 2, 2, 2, 0, 4, 2, 3, 2, 1, 3, 4, 1, 3, 2, 4, 2, 2, 2, 2, 0, 3, 0, 1, 2, 3, 4, 1, 1, 0, 3, 3, 4, 0, 1, 4, 2, 3, 2, 0, 2, 0, 2, 0, 4, 3, 2, 2, 0, 0, 3, 3, 3, 0, 3, 4, 4, 1, 0, 1, 3, 4, 2, 3, 0, 3, 0, 4, 0, 1, 2, 1, 0, 4, 4, 2, 4, 2, 3, 2, 0, 2, 2, 2, 3, 0, 3, 1, 1, 4, 1, 0, 2, 2, 0, 2, 0, 3, 3, 3, 2, 3, 1, 2, 3, 1, 1, 4, 0, 0, 4, 2, 1, 4, 0, 1, 1, 3, 2, 4, 0, 0, 4, 0, 1, 2, 4, 3, 2, 3, 4, 4, 3, 3, 4, 2, 2, 2, 2, 3, 3, 1, 4, 2, 4, 1, 3, 3, 2, 3, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 3, 2, 1, 1, 4, 0, 2, 4, 0, 1, 4, 0, 1, 1, 3, 4, 0, 4, 3, 3, 1, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 0, 3, 4, 0, 0, 4, 0, 2, 4, 1, 2, 4, 0, 3, 1, 0, 1, 4, 3, 2, 2, 2, 4, 2, 2, 3, 2, 1, 3, 1, 4, 3, 4, 1, 4, 3, 4, 4, 1, 2, 0, 1, 2, 2, 3, 3, 0, 4, 4, 3, 1, 0, 3, 4, 2, 3, 0, 2, 3, 3, 2, 0, 4, 0, 1, 0, 0, 1, 4, 0, 3, 4, 0, 3, 2, 1, 0, 2, 3, 4, 4, 2, 4, 3, 4, 1, 3, 4, 1, 1, 1, 1, 4, 1, 1, 3, 4, 0, 2, 2, 1, 0, 3, 2, 0, 3, 1, 3, 3, 3, 0, 4, 2, 4, 4, 2, 3, 0, 1, 4, 4, 2, 0, 3, 2, 4, 1, 0, 4, 2, 0, 0, 3, 0, 2, 4, 2, 2, 3, 1, 3, 1, 0, 4, 2, 4, 3, 2, 0, 2, 2, 4, 3, 1, 1, 1, 2, 3, 4, 2, 3, 4, 2, 3, 4, 1, 2, 4, 2, 3, 2, 0, 2, 2, 1, 1, 1, 1, 4, 3, 1, 0, 2, 4, 0, 1, 2, 3, 4, 1, 2, 0, 4, 4, 4, 2, 3, 0, 3, 2, 0, 3, 2, 1, 1, 1, 3, 3, 1, 2, 1, 4, 2, 4, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 4, 1] pubkeycol706 = [4, 3, 2, 1, 1, 0, 0, 0, 3, 1, 0, 0, 0, 4, 2, 1, 1, 3, 1, 3, 3, 2, 0, 3, 1, 4, 0, 2, 4, 3, 2, 0, 2, 4, 2, 1, 0, 4, 2, 2, 0, 1, 2, 1, 2, 4, 4, 2, 0, 0, 1, 0, 2, 2, 2, 4, 0, 1, 4, 3, 0, 0, 3, 1, 4, 1, 4, 2, 4, 0, 3, 3, 1, 2, 1, 4, 2, 1, 1, 0, 0, 2, 3, 1, 1, 4, 1, 2, 3, 2, 2, 1, 0, 2, 4, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 3, 3, 4, 2, 2, 2, 1, 3, 3, 3, 2, 1, 0, 1, 2, 2, 3, 3, 4, 3, 3, 0, 3, 1, 1, 1, 2, 1, 1, 4, 0, 2, 0, 2, 4, 3, 0, 2, 0, 3, 0, 0, 1, 0, 4, 4, 1, 0, 3, 3, 4, 2, 1, 2, 1, 0, 1, 3, 1, 2, 0, 4, 4, 1, 1, 0, 0, 1, 2, 1, 4, 0, 1, 2, 3, 0, 4, 0, 0, 1, 3, 4, 2, 3, 4, 1, 1, 1, 4, 2, 3, 1, 1, 4, 3, 3, 1, 1, 1, 1, 4, 3, 0, 0, 2, 3, 3, 2, 2, 2, 4, 2, 2, 3, 0, 2, 1, 1, 1, 0, 3, 1, 0, 4, 0, 2, 1, 0, 0, 3, 3, 2, 3, 0, 0, 0, 2, 3, 4, 1, 1, 4, 0, 2, 4, 4, 3, 1, 3, 3, 2, 0, 0, 1, 3, 0, 2, 3, 4, 0, 2, 0, 3, 3, 4, 2, 4, 2, 1, 4, 1, 2, 4, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 3, 3, 3, 1, 4, 3, 3, 3, 1, 0, 1, 4, 2, 2, 3, 4, 4, 2, 1, 1, 1, 0, 4, 3, 2, 0, 3, 1, 2, 2, 2, 4, 3, 0, 2, 0, 3, 4, 0, 0, 4, 3, 2, 0, 0, 3, 3, 0, 4, 3, 1, 2, 3, 3, 4, 4, 0, 3, 1, 4, 4, 3, 3, 1, 4, 2, 1, 3, 0, 3, 1, 1, 0, 2, 1, 2, 0, 4, 4, 0, 4, 4, 3, 3, 4, 0, 0, 1, 1, 1, 1, 4, 1, 1, 2, 3, 1, 1, 1, 1, 0, 3, 0, 2, 3, 4, 1, 2, 0, 0, 4, 0, 2, 1, 3, 4, 1, 1, 3, 0, 0, 1, 4, 1, 4, 2, 0, 0, 0, 0, 3, 4, 1, 4, 0, 2, 1, 1, 0, 4, 4, 0, 3, 0, 0, 3, 2, 3, 2, 2, 2, 4, 3, 3, 3, 4, 1, 1, 2, 0, 2, 3, 0, 4, 1, 4, 2, 3, 3, 1, 0, 4, 4, 0, 1, 3, 2, 3, 3, 1, 1, 1, 1, 2, 4, 2, 2, 2, 4, 4] pubkeycol707 = [4, 4, 4, 0, 0, 1, 3, 2, 1, 3, 2, 4, 2, 2, 1, 4, 1, 1, 0, 0, 2, 0, 4, 1, 4, 2, 4, 1, 3, 2, 2, 0, 4, 1, 3, 4, 2, 0, 3, 4, 0, 0, 1, 4, 3, 1, 4, 4, 3, 1, 3, 2, 4, 3, 3, 0, 3, 1, 2, 0, 1, 2, 3, 0, 2, 3, 0, 3, 0, 0, 1, 0, 0, 2, 4, 4, 4, 3, 1, 2, 2, 0, 2, 0, 4, 3, 3, 2, 2, 3, 4, 2, 1, 2, 1, 1, 1, 1, 3, 4, 2, 3, 3, 4, 2, 2, 2, 1, 1, 1, 0, 3, 3, 3, 3, 3, 0, 3, 4, 0, 4, 2, 3, 4, 3, 0, 3, 0, 0, 0, 0, 2, 3, 1, 3, 1, 3, 3, 1, 0, 2, 3, 4, 4, 3, 1, 3, 2, 1, 2, 0, 2, 4, 0, 4, 4, 4, 1, 4, 0, 0, 4, 4, 3, 2, 1, 3, 3, 4, 4, 1, 0, 4, 3, 3, 0, 1, 0, 4, 2, 1, 4, 2, 0, 3, 0, 4, 0, 4, 4, 1, 4, 1, 3, 2, 4, 0, 1, 4, 2, 3, 0, 3, 0, 1, 0, 2, 3, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 1, 1, 2, 3, 2, 1, 0, 1, 1, 1, 4, 3, 1, 4, 1, 4, 0, 0, 1, 3, 1, 1, 4, 2, 0, 0, 1, 0, 0, 4, 1, 1, 2, 3, 1, 3, 4, 3, 4, 2, 2, 4, 0, 0, 4, 3, 2, 1, 2, 4, 1, 1, 1, 4, 1, 3, 2, 3, 0, 4, 3, 3, 1, 1, 3, 3, 4, 2, 2, 3, 4, 3, 1, 4, 1, 3, 3, 1, 3, 0, 2, 3, 4, 3, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 3, 0, 4, 2, 4, 3, 0, 3, 4, 2, 2, 0, 2, 4, 3, 3, 1, 4, 3, 1, 0, 2, 0, 0, 1, 0, 4, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 4, 3, 2, 4, 2, 4, 1, 1, 0, 1, 4, 0, 4, 3, 0, 3, 1, 2, 0, 4, 4, 1, 2, 3, 1, 2, 1, 3, 0, 0, 4, 2, 0, 0, 1, 1, 4, 1, 3, 3, 2, 4, 0, 2, 0, 3, 4, 1, 4, 2, 2, 4, 0, 3, 0, 0, 3, 1, 0, 1, 4, 2, 4, 4, 1, 2, 1, 1, 2, 3, 2, 3, 3, 2, 1, 0, 3, 0, 4, 1, 2, 3, 2, 3, 4, 3, 0, 1, 3, 4, 2, 2, 2, 3, 3, 0, 1, 1, 1, 4, 0, 3, 3, 1, 2, 4, 4, 2, 0, 3, 3, 3, 0, 2, 0, 2, 4, 1, 1, 4, 2, 2, 4, 1, 4] pubkeycol708 = [4, 4, 0, 3, 4, 1, 1, 1, 4, 1, 4, 0, 1, 0, 4, 1, 1, 3, 1, 2, 4, 2, 2, 1, 3, 1, 2, 3, 0, 0, 2, 4, 0, 2, 2, 0, 4, 2, 1, 0, 0, 4, 2, 1, 2, 2, 0, 3, 0, 0, 1, 1, 1, 3, 4, 0, 3, 1, 0, 3, 4, 2, 1, 3, 0, 0, 1, 0, 0, 3, 3, 1, 3, 0, 2, 2, 3, 2, 1, 1, 2, 0, 1, 0, 3, 1, 3, 3, 3, 2, 1, 4, 4, 4, 4, 3, 0, 0, 3, 3, 3, 2, 1, 3, 1, 4, 1, 0, 4, 3, 4, 2, 3, 4, 4, 0, 2, 3, 3, 2, 0, 2, 2, 1, 1, 1, 2, 4, 1, 0, 0, 4, 4, 2, 1, 1, 1, 4, 2, 1, 1, 1, 3, 1, 4, 1, 3, 2, 1, 2, 2, 0, 0, 3, 3, 0, 2, 0, 4, 3, 1, 3, 3, 4, 2, 4, 2, 2, 2, 0, 3, 2, 2, 1, 1, 0, 0, 1, 1, 4, 2, 4, 4, 4, 0, 2, 2, 2, 4, 0, 4, 3, 1, 3, 2, 0, 3, 3, 1, 4, 3, 2, 4, 4, 2, 0, 2, 0, 3, 4, 0, 0, 2, 3, 4, 1, 2, 1, 0, 4, 3, 1, 0, 0, 4, 2, 3, 0, 2, 1, 3, 4, 0, 1, 3, 1, 2, 3, 1, 0, 1, 2, 2, 0, 4, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 4, 0, 3, 3, 3, 3, 3, 0, 2, 4, 4, 4, 2, 2, 1, 0, 4, 0, 3, 3, 4, 0, 1, 3, 1, 0, 4, 2, 1, 0, 1, 0, 2, 0, 0, 0, 3, 4, 3, 2, 0, 3, 2, 0, 4, 0, 3, 4, 1, 3, 4, 0, 4, 2, 2, 0, 0, 4, 4, 3, 2, 1, 4, 0, 1, 1, 1, 2, 3, 2, 0, 4, 2, 3, 1, 3, 1, 3, 1, 1, 4, 3, 4, 4, 2, 0, 1, 4, 0, 2, 3, 3, 0, 4, 0, 3, 4, 4, 4, 3, 4, 2, 0, 0, 2, 2, 2, 0, 3, 1, 1, 0, 3, 4, 4, 0, 4, 1, 1, 2, 3, 4, 1, 1, 1, 3, 3, 3, 4, 2, 0, 0, 1, 3, 0, 1, 3, 2, 4, 3, 1, 3, 3, 2, 2, 2, 0, 0, 2, 4, 0, 0, 0, 1, 2, 4, 3, 0, 0, 2, 3, 0, 0, 4, 2, 2, 4, 3, 1, 3, 1, 3, 3, 3, 1, 0, 4, 2, 2, 4, 0, 1, 4, 1, 0, 0, 1, 3, 2, 1, 2, 0, 1, 3, 2, 4, 4, 4, 2, 2, 3, 1, 1, 1, 2, 3, 0, 0, 0, 0, 4, 4, 3, 4, 1, 4, 0, 4, 0, 0, 3, 4, 2, 4, 1] pubkeycol709 = [4, 2, 2, 1, 2, 0, 3, 0, 3, 1, 1, 2, 2, 3, 0, 3, 3, 0, 1, 4, 2, 3, 3, 4, 4, 1, 3, 3, 0, 2, 3, 0, 0, 3, 3, 1, 2, 3, 2, 4, 2, 2, 1, 2, 0, 0, 3, 3, 1, 4, 1, 2, 4, 0, 4, 4, 1, 0, 3, 1, 1, 3, 4, 3, 4, 4, 2, 0, 2, 3, 3, 3, 4, 1, 2, 3, 2, 4, 4, 1, 1, 3, 0, 1, 0, 1, 1, 3, 2, 2, 2, 3, 2, 3, 4, 1, 3, 0, 4, 1, 3, 4, 1, 1, 2, 4, 2, 2, 0, 3, 3, 0, 0, 0, 4, 0, 2, 1, 4, 0, 2, 1, 1, 2, 4, 4, 1, 3, 0, 2, 0, 0, 2, 4, 1, 1, 2, 1, 4, 3, 1, 1, 4, 4, 0, 3, 2, 0, 2, 1, 3, 4, 3, 3, 2, 1, 2, 0, 3, 3, 2, 1, 3, 2, 4, 3, 1, 4, 3, 4, 3, 2, 4, 1, 0, 4, 4, 1, 2, 1, 3, 1, 1, 3, 0, 4, 4, 0, 1, 4, 1, 1, 1, 1, 3, 4, 4, 4, 4, 3, 0, 1, 2, 0, 4, 0, 2, 2, 0, 4, 3, 3, 2, 1, 1, 2, 2, 1, 2, 2, 4, 1, 4, 3, 3, 0, 0, 0, 2, 4, 4, 3, 3, 3, 4, 2, 1, 4, 3, 1, 4, 3, 0, 1, 4, 1, 2, 4, 0, 0, 2, 4, 3, 4, 1, 3, 1, 0, 3, 0, 0, 4, 4, 4, 3, 0, 4, 2, 2, 3, 3, 1, 2, 1, 4, 2, 2, 0, 4, 0, 2, 2, 4, 4, 4, 1, 2, 0, 0, 1, 3, 1, 3, 4, 3, 1, 4, 2, 1, 0, 3, 3, 4, 2, 4, 2, 1, 0, 0, 2, 0, 3, 1, 1, 1, 2, 2, 1, 3, 3, 4, 1, 4, 4, 4, 4, 0, 3, 3, 0, 2, 4, 1, 1, 2, 0, 1, 0, 4, 2, 3, 2, 3, 4, 2, 2, 3, 3, 3, 1, 3, 4, 0, 0, 1, 3, 4, 0, 1, 2, 0, 4, 3, 4, 3, 4, 3, 0, 0, 0, 2, 2, 2, 4, 0, 2, 2, 0, 1, 3, 2, 3, 0, 1, 1, 3, 4, 3, 4, 2, 1, 4, 4, 4, 4, 3, 0, 0, 3, 2, 0, 0, 2, 4, 1, 0, 0, 2, 0, 0, 2, 0, 3, 0, 0, 3, 0, 3, 1, 1, 2, 1, 3, 0, 0, 3, 0, 1, 3, 4, 4, 3, 3, 3, 4, 1, 3, 1, 1, 4, 0, 4, 3, 1, 1, 4, 2, 4, 3, 3, 1, 1, 1, 1, 3, 4, 3, 3, 3, 1, 3, 3, 4, 4, 4, 0, 4, 3, 2, 2, 1, 3, 4, 3, 2, 1, 3, 0, 2, 3] pubkeycol710 = [0, 0, 3, 1, 0, 0, 1, 2, 3, 4, 3, 1, 2, 4, 4, 3, 3, 4, 3, 0, 3, 3, 3, 3, 0, 2, 1, 1, 4, 2, 2, 1, 3, 2, 1, 0, 2, 3, 3, 0, 0, 2, 4, 3, 2, 1, 2, 2, 3, 0, 2, 4, 0, 1, 2, 3, 2, 3, 4, 3, 1, 2, 4, 1, 4, 4, 0, 4, 1, 0, 2, 0, 0, 3, 0, 4, 1, 3, 2, 0, 2, 2, 2, 0, 2, 1, 1, 3, 0, 0, 1, 3, 0, 0, 2, 2, 3, 2, 3, 2, 0, 2, 2, 4, 4, 1, 0, 0, 1, 3, 1, 1, 1, 3, 3, 0, 1, 3, 4, 2, 0, 1, 4, 4, 3, 4, 3, 0, 3, 3, 2, 4, 4, 3, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 4, 0, 3, 2, 4, 3, 3, 0, 2, 1, 4, 0, 0, 0, 1, 2, 0, 4, 1, 3, 0, 4, 3, 0, 1, 1, 3, 0, 3, 4, 4, 4, 2, 3, 2, 0, 0, 1, 4, 0, 0, 1, 3, 0, 4, 4, 1, 4, 0, 2, 2, 2, 0, 1, 1, 1, 4, 3, 2, 2, 3, 1, 3, 4, 4, 2, 2, 0, 1, 4, 0, 0, 0, 1, 3, 4, 3, 4, 0, 4, 2, 1, 4, 3, 2, 1, 0, 0, 3, 3, 0, 4, 3, 2, 0, 3, 3, 1, 4, 0, 1, 3, 1, 4, 0, 1, 3, 4, 1, 2, 2, 1, 0, 2, 3, 3, 0, 2, 1, 3, 3, 2, 4, 1, 4, 3, 1, 2, 1, 4, 3, 2, 0, 2, 1, 4, 1, 4, 0, 0, 0, 3, 1, 4, 4, 4, 1, 3, 0, 2, 1, 3, 2, 2, 0, 4, 3, 1, 4, 1, 3, 4, 3, 3, 0, 0, 4, 2, 2, 4, 1, 4, 0, 3, 3, 0, 1, 3, 4, 1, 1, 1, 0, 0, 2, 1, 2, 3, 4, 1, 3, 2, 2, 2, 4, 0, 4, 0, 4, 0, 1, 2, 4, 1, 3, 3, 0, 4, 4, 2, 3, 0, 1, 3, 1, 1, 1, 0, 2, 3, 4, 3, 4, 2, 2, 1, 3, 1, 2, 3, 4, 4, 0, 1, 2, 4, 4, 0, 3, 0, 0, 0, 4, 1, 2, 0, 4, 1, 1, 3, 0, 3, 2, 4, 1, 4, 1, 0, 2, 3, 4, 1, 1, 2, 1, 0, 4, 4, 1, 1, 2, 1, 1, 0, 3, 0, 1, 1, 3, 2, 0, 1, 0, 4, 3, 0, 4, 0, 0, 4, 1, 1, 2, 1, 3, 2, 1, 4, 0, 4, 4, 1, 3, 2, 2, 3, 0, 0, 3, 3, 2, 3, 2, 1, 1, 1, 0, 3, 3, 4, 1, 0, 4, 4, 4] pubkeycol711 = [0, 2, 4, 1, 1, 1, 2, 4, 0, 4, 3, 4, 2, 0, 0, 0, 4, 0, 4, 1, 0, 4, 1, 0, 1, 2, 0, 4, 1, 1, 2, 4, 0, 3, 1, 4, 1, 3, 1, 3, 3, 0, 2, 2, 4, 0, 2, 4, 4, 1, 4, 0, 3, 4, 3, 3, 2, 3, 1, 0, 3, 2, 3, 3, 3, 2, 0, 1, 2, 2, 4, 1, 0, 3, 2, 0, 0, 2, 2, 3, 4, 3, 2, 4, 0, 0, 2, 1, 3, 4, 1, 1, 0, 0, 2, 0, 4, 3, 0, 4, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 3, 2, 0, 1, 1, 0, 2, 4, 3, 2, 3, 0, 0, 4, 4, 2, 2, 3, 2, 0, 0, 3, 0, 4, 2, 3, 2, 4, 1, 3, 2, 4, 3, 3, 3, 1, 0, 0, 3, 4, 4, 0, 2, 3, 0, 1, 1, 0, 3, 1, 2, 3, 0, 0, 0, 0, 4, 4, 3, 1, 0, 1, 1, 1, 2, 0, 1, 2, 3, 3, 0, 3, 3, 4, 2, 0, 1, 3, 4, 0, 4, 1, 0, 0, 1, 2, 1, 2, 4, 4, 1, 2, 0, 0, 2, 4, 4, 2, 2, 4, 0, 0, 2, 2, 0, 3, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 3, 0, 4, 1, 3, 1, 2, 2, 0, 3, 2, 1, 3, 3, 1, 1, 2, 4, 0, 3, 1, 3, 3, 1, 0, 0, 3, 2, 1, 4, 0, 4, 0, 0, 2, 4, 1, 0, 1, 3, 1, 2, 3, 4, 0, 1, 1, 3, 3, 2, 0, 4, 3, 1, 0, 4, 3, 2, 3, 0, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 4, 3, 0, 4, 0, 4, 4, 2, 0, 2, 4, 4, 3, 0, 0, 3, 4, 3, 0, 2, 3, 3, 0, 0, 4, 1, 2, 3, 4, 3, 1, 2, 3, 0, 2, 0, 2, 2, 4, 3, 2, 1, 2, 3, 2, 2, 1, 0, 2, 1, 3, 4, 3, 3, 1, 1, 4, 0, 0, 4, 4, 1, 4, 0, 2, 1, 4, 3, 0, 3, 2, 0, 3, 1, 0, 3, 2, 4, 3, 2, 4, 0, 4, 3, 3, 2, 3, 3, 4, 4, 0, 1, 3, 1, 4, 3, 4, 4, 3, 2, 1, 3, 0, 1, 4, 1, 0, 2, 1, 3, 4, 0, 0, 0, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 1, 4, 4, 4, 3, 1, 4, 3, 3, 2, 2, 0, 4, 0, 0, 3, 0, 4, 4, 3, 3, 2, 1, 0, 0, 0, 2, 1, 0, 4, 4, 2, 1, 2, 4, 4, 3, 0, 2, 4, 4, 4, 4, 0, 0, 3, 4, 1, 1, 0, 3, 1, 2, 3, 4, 3, 2] pubkeycol712 = [1, 4, 2, 3, 4, 2, 0, 0, 2, 3, 4, 3, 3, 3, 4, 2, 2, 4, 4, 4, 1, 4, 1, 3, 3, 2, 1, 0, 0, 3, 3, 4, 4, 1, 1, 0, 3, 2, 2, 3, 1, 2, 1, 4, 4, 2, 1, 2, 4, 1, 1, 4, 2, 3, 0, 4, 0, 0, 1, 3, 4, 0, 4, 3, 4, 0, 2, 2, 3, 3, 2, 2, 1, 1, 0, 0, 2, 3, 1, 3, 0, 0, 3, 2, 4, 2, 3, 2, 0, 1, 2, 3, 2, 2, 1, 4, 3, 3, 1, 2, 3, 0, 1, 3, 4, 4, 1, 4, 3, 3, 0, 0, 0, 3, 4, 1, 2, 0, 2, 1, 2, 2, 4, 1, 4, 0, 1, 4, 4, 3, 0, 0, 3, 0, 3, 1, 0, 1, 1, 0, 0, 2, 3, 1, 0, 4, 0, 0, 1, 2, 3, 2, 4, 1, 1, 0, 0, 3, 3, 0, 1, 0, 4, 3, 1, 2, 2, 3, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 3, 3, 1, 2, 0, 4, 0, 0, 3, 4, 4, 3, 0, 4, 2, 3, 3, 4, 0, 4, 0, 3, 1, 3, 0, 1, 4, 2, 0, 0, 1, 2, 1, 3, 1, 4, 1, 1, 3, 0, 1, 0, 3, 1, 4, 2, 3, 4, 1, 1, 2, 3, 4, 3, 4, 0, 4, 0, 3, 0, 4, 3, 4, 2, 3, 0, 4, 2, 3, 3, 2, 4, 0, 1, 2, 2, 1, 0, 3, 4, 3, 2, 4, 4, 0, 4, 0, 4, 3, 3, 0, 4, 4, 2, 4, 1, 0, 3, 2, 1, 3, 0, 1, 2, 1, 2, 3, 4, 0, 2, 2, 1, 4, 3, 2, 0, 1, 2, 2, 4, 1, 2, 3, 4, 4, 2, 0, 4, 4, 1, 1, 0, 4, 4, 0, 0, 2, 3, 0, 0, 3, 4, 2, 3, 1, 3, 0, 2, 4, 2, 4, 1, 0, 2, 2, 4, 1, 4, 1, 2, 2, 1, 2, 0, 3, 3, 2, 1, 1, 1, 1, 3, 2, 4, 4, 3, 2, 3, 3, 4, 2, 2, 3, 3, 1, 1, 2, 1, 3, 1, 1, 1, 3, 3, 1, 1, 4, 0, 1, 3, 4, 4, 4, 0, 1, 4, 4, 2, 1, 3, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 1, 0, 3, 3, 3, 3, 4, 3, 1, 3, 1, 1, 1, 4, 3, 1, 2, 1, 4, 1, 0, 2, 0, 3, 0, 0, 2, 4, 0, 2, 2, 1, 4, 2, 4, 0, 0, 3, 3, 2, 4, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 3, 0, 0, 2, 0, 2, 1, 4, 4, 4, 1, 4, 4, 0, 4] pubkeycol713 = [3, 2, 1, 2, 1, 0, 3, 0, 3, 4, 2, 2, 2, 1, 3, 0, 3, 1, 3, 3, 4, 4, 4, 3, 0, 0, 1, 0, 1, 3, 2, 3, 1, 3, 2, 2, 3, 3, 0, 0, 2, 2, 4, 4, 2, 2, 2, 1, 0, 3, 2, 3, 4, 1, 0, 4, 2, 2, 2, 0, 3, 3, 4, 4, 1, 0, 1, 1, 3, 0, 1, 1, 2, 0, 4, 4, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 3, 0, 1, 1, 3, 3, 4, 3, 1, 3, 0, 4, 4, 2, 3, 0, 1, 0, 4, 2, 1, 1, 4, 3, 4, 3, 3, 1, 2, 0, 0, 1, 3, 1, 0, 1, 3, 3, 3, 2, 3, 4, 1, 4, 4, 1, 3, 3, 4, 1, 2, 2, 1, 3, 0, 2, 1, 1, 2, 2, 0, 3, 3, 3, 3, 0, 1, 1, 4, 1, 3, 0, 4, 1, 2, 1, 0, 4, 0, 4, 4, 4, 1, 1, 1, 0, 2, 2, 4, 0, 0, 3, 3, 4, 1, 4, 1, 0, 3, 2, 4, 2, 0, 4, 0, 4, 4, 1, 2, 2, 1, 3, 3, 2, 1, 0, 3, 3, 0, 2, 1, 0, 0, 0, 3, 0, 4, 3, 1, 0, 4, 4, 1, 0, 1, 4, 2, 0, 3, 4, 4, 2, 3, 2, 0, 4, 3, 2, 3, 4, 2, 2, 2, 4, 1, 2, 0, 1, 0, 4, 4, 3, 3, 2, 0, 3, 4, 4, 4, 3, 0, 2, 2, 0, 0, 4, 2, 3, 2, 0, 0, 4, 3, 0, 3, 3, 0, 4, 1, 0, 0, 3, 3, 4, 3, 4, 3, 1, 0, 1, 3, 3, 0, 4, 2, 1, 0, 2, 4, 2, 2, 4, 2, 4, 4, 3, 2, 3, 0, 1, 3, 2, 0, 4, 4, 1, 4, 1, 4, 2, 0, 2, 3, 0, 0, 4, 1, 1, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 2, 0, 2, 2, 2, 2, 0, 4, 1, 0, 2, 1, 0, 4, 4, 3, 0, 4, 3, 1, 0, 4, 4, 3, 4, 3, 1, 4, 3, 2, 1, 3, 1, 4, 0, 2, 1, 0, 3, 1, 3, 4, 3, 1, 0, 2, 1, 0, 0, 2, 2, 4, 3, 1, 1, 3, 1, 0, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 0, 3, 4, 4, 4, 4, 2, 1, 0, 2, 2, 2, 3, 0, 4, 0, 1, 4, 1, 2, 2, 0, 1, 1, 3, 3, 3, 0, 1, 2, 3, 4, 2, 2, 3, 1, 0, 0, 4, 1, 0, 3, 1, 3, 1, 4, 0, 1, 3, 2, 2, 1, 1, 2, 0, 3, 3, 4, 0, 2, 3, 4, 0, 2, 2, 3, 3, 4, 2, 3, 0, 2, 3, 1, 0, 3, 3] pubkeycol714 = [4, 1, 0, 2, 3, 4, 2, 3, 4, 1, 1, 1, 1, 0, 1, 3, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 3, 0, 0, 1, 2, 4, 4, 3, 0, 0, 3, 3, 4, 2, 0, 1, 0, 1, 0, 3, 3, 0, 1, 2, 4, 4, 3, 4, 4, 2, 2, 3, 2, 3, 2, 4, 2, 4, 0, 0, 0, 3, 2, 4, 1, 0, 0, 0, 4, 1, 0, 1, 2, 0, 2, 2, 4, 4, 2, 3, 4, 4, 4, 3, 2, 0, 0, 0, 2, 0, 4, 0, 0, 2, 4, 2, 1, 0, 3, 1, 1, 4, 3, 2, 2, 1, 4, 0, 0, 3, 0, 4, 2, 4, 2, 2, 4, 4, 4, 0, 0, 2, 0, 4, 1, 2, 3, 3, 3, 4, 0, 4, 4, 1, 4, 4, 3, 3, 1, 1, 4, 3, 1, 0, 4, 3, 0, 1, 2, 0, 0, 3, 3, 1, 1, 3, 2, 2, 2, 3, 2, 2, 1, 1, 3, 4, 0, 0, 2, 0, 0, 3, 2, 3, 0, 3, 2, 0, 4, 4, 1, 1, 0, 3, 2, 1, 1, 0, 0, 1, 3, 4, 3, 0, 1, 4, 1, 1, 0, 1, 0, 4, 4, 4, 2, 3, 2, 0, 2, 3, 3, 1, 1, 2, 0, 4, 0, 2, 2, 3, 4, 3, 3, 4, 1, 2, 2, 4, 1, 3, 1, 4, 1, 4, 3, 2, 0, 2, 2, 1, 3, 3, 1, 3, 0, 3, 0, 0, 0, 0, 3, 1, 4, 3, 4, 3, 4, 4, 2, 4, 3, 3, 0, 3, 4, 0, 4, 2, 2, 0, 0, 2, 3, 4, 0, 3, 1, 3, 2, 4, 0, 3, 2, 4, 2, 1, 4, 3, 0, 0, 0, 2, 1, 1, 0, 0, 3, 1, 2, 4, 0, 3, 2, 2, 0, 0, 2, 4, 3, 4, 1, 0, 1, 1, 2, 4, 2, 4, 4, 3, 1, 0, 3, 3, 4, 2, 4, 4, 3, 3, 3, 0, 2, 2, 4, 3, 0, 3, 2, 4, 4, 2, 3, 4, 4, 4, 0, 1, 1, 1, 3, 2, 1, 2, 2, 3, 0, 3, 4, 4, 0, 1, 1, 1, 0, 3, 3, 3, 0, 3, 1, 3, 1, 0, 1, 2, 3, 1, 2, 3, 2, 1, 2, 4, 0, 4, 2, 1, 1, 2, 2, 1, 2, 3, 0, 1, 4, 4, 2, 2, 1, 1, 4, 3, 2, 4, 1, 0, 2, 4, 0, 2, 2, 0, 1, 3, 0, 3, 4, 3, 1, 0, 3, 4, 2, 1, 0, 2, 2, 3, 3, 4, 3, 3, 3, 0, 3, 2, 1, 2, 0, 1, 1, 2, 4, 4, 1, 1, 3, 4, 0, 4, 3, 2, 3, 0, 0, 3, 3, 0, 4, 0, 2, 4, 3, 2, 2, 3, 2, 1] pubkeycol715 = [3, 3, 3, 3, 4, 3, 2, 2, 0, 1, 3, 4, 3, 4, 1, 2, 1, 3, 2, 3, 0, 2, 4, 2, 2, 0, 2, 2, 2, 0, 0, 1, 3, 0, 4, 0, 1, 0, 2, 4, 4, 1, 0, 4, 0, 3, 3, 4, 4, 2, 0, 2, 2, 3, 2, 0, 0, 1, 1, 4, 1, 2, 4, 1, 3, 4, 0, 2, 3, 3, 4, 0, 0, 3, 2, 4, 3, 2, 0, 3, 1, 2, 3, 3, 0, 4, 2, 0, 3, 4, 1, 0, 2, 2, 1, 3, 0, 3, 2, 0, 0, 3, 3, 0, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 1, 1, 0, 0, 4, 4, 3, 1, 0, 4, 3, 1, 0, 2, 4, 3, 1, 2, 4, 1, 0, 3, 3, 3, 0, 2, 2, 2, 2, 4, 3, 3, 2, 3, 4, 4, 0, 1, 3, 0, 4, 4, 3, 1, 2, 0, 2, 4, 2, 4, 4, 2, 4, 1, 1, 4, 2, 4, 1, 4, 1, 0, 3, 4, 4, 3, 0, 1, 0, 4, 0, 4, 3, 4, 1, 0, 1, 2, 1, 3, 2, 1, 3, 1, 1, 2, 2, 1, 1, 1, 2, 3, 0, 1, 2, 1, 2, 4, 2, 3, 3, 3, 4, 1, 0, 4, 1, 3, 4, 3, 3, 4, 2, 3, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 4, 0, 1, 1, 2, 3, 0, 3, 4, 0, 0, 0, 0, 4, 1, 3, 2, 4, 2, 3, 4, 0, 4, 2, 1, 0, 0, 4, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 4, 0, 1, 0, 4, 4, 3, 2, 3, 4, 4, 1, 1, 3, 3, 0, 4, 4, 1, 2, 0, 0, 2, 0, 3, 3, 3, 1, 1, 1, 4, 2, 4, 0, 3, 4, 3, 4, 0, 1, 2, 0, 3, 1, 1, 2, 0, 0, 2, 1, 3, 1, 4, 0, 1, 3, 4, 1, 4, 2, 0, 0, 2, 0, 2, 0, 4, 1, 2, 3, 4, 0, 4, 1, 3, 1, 0, 2, 4, 0, 2, 4, 4, 2, 2, 0, 2, 3, 4, 2, 1, 3, 0, 2, 4, 0, 2, 3, 2, 3, 4, 2, 1, 1, 0, 2, 0, 2, 1, 0, 4, 3, 0, 1, 2, 3, 2, 0, 3, 1, 1, 3, 1, 4, 0, 3, 2, 2, 0, 0, 3, 3, 4, 2, 4, 3, 4, 3, 1, 2, 2, 1, 4, 2, 4, 0, 0, 4, 3, 4, 4, 3, 0, 4, 2, 3, 1, 0, 1, 2, 1, 3, 3, 4, 3, 1, 3, 0, 3, 0, 4, 0, 0, 3, 2, 2, 4, 0, 0, 0, 2, 0, 2, 2, 3, 0, 1, 2, 4, 4, 1, 0, 3, 0, 2, 4] pubkeycol716 = [2, 3, 3, 1, 3, 2, 4, 2, 0, 1, 2, 3, 4, 0, 0, 3, 3, 3, 2, 4, 1, 4, 4, 2, 0, 3, 1, 0, 1, 3, 4, 0, 3, 0, 0, 2, 0, 3, 3, 1, 3, 0, 2, 0, 0, 2, 1, 3, 1, 3, 1, 3, 2, 1, 4, 0, 3, 4, 2, 3, 0, 3, 2, 1, 3, 4, 4, 1, 1, 3, 0, 3, 2, 0, 2, 4, 0, 1, 0, 0, 2, 2, 3, 1, 1, 3, 1, 0, 3, 4, 3, 2, 0, 3, 1, 0, 0, 3, 2, 2, 0, 4, 0, 2, 4, 1, 2, 4, 3, 0, 4, 0, 2, 4, 0, 0, 0, 2, 3, 1, 2, 0, 1, 1, 4, 1, 2, 2, 2, 3, 0, 4, 1, 0, 3, 4, 0, 1, 4, 3, 2, 4, 0, 4, 4, 4, 4, 2, 0, 0, 2, 3, 4, 4, 2, 2, 3, 2, 1, 0, 1, 3, 4, 0, 3, 2, 2, 4, 2, 2, 4, 2, 3, 2, 0, 1, 2, 1, 2, 0, 3, 0, 4, 2, 2, 1, 3, 4, 4, 2, 1, 3, 1, 1, 1, 2, 0, 4, 1, 4, 3, 4, 1, 2, 0, 2, 3, 3, 2, 0, 3, 1, 2, 1, 3, 3, 0, 4, 0, 2, 3, 3, 3, 0, 4, 1, 1, 3, 1, 1, 2, 1, 2, 4, 4, 3, 2, 4, 0, 0, 1, 3, 2, 2, 3, 1, 2, 0, 4, 3, 4, 2, 2, 4, 4, 0, 1, 1, 4, 3, 4, 3, 4, 1, 4, 1, 3, 3, 3, 0, 3, 4, 0, 1, 0, 2, 1, 1, 0, 1, 0, 3, 3, 2, 3, 1, 1, 0, 0, 2, 3, 0, 3, 4, 3, 1, 3, 4, 3, 3, 2, 2, 4, 4, 0, 0, 0, 4, 2, 3, 3, 1, 4, 4, 2, 4, 2, 4, 2, 4, 1, 4, 3, 3, 2, 0, 1, 2, 0, 0, 1, 4, 4, 0, 1, 1, 3, 1, 3, 4, 3, 0, 4, 0, 1, 1, 0, 3, 4, 1, 3, 0, 2, 1, 4, 3, 0, 4, 1, 1, 3, 4, 2, 3, 3, 0, 1, 3, 3, 3, 1, 4, 1, 0, 0, 3, 3, 1, 4, 3, 2, 3, 3, 2, 1, 0, 4, 4, 4, 0, 3, 3, 0, 4, 1, 2, 3, 4, 0, 0, 2, 0, 3, 3, 2, 3, 1, 3, 3, 0, 0, 4, 3, 0, 4, 4, 2, 4, 2, 4, 1, 4, 2, 3, 2, 4, 2, 3, 0, 1, 2, 1, 4, 1, 0, 3, 2, 4, 4, 1, 4, 1, 4, 1, 4, 1, 2, 2, 4, 2, 2, 3, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 1, 3, 2, 0, 2, 4, 1, 0, 2, 0, 3, 3, 2, 4, 1, 2, 0] pubkeycol717 = [0, 1, 4, 4, 0, 4, 4, 3, 2, 4, 2, 1, 4, 0, 0, 3, 4, 2, 1, 1, 3, 4, 1, 0, 4, 2, 4, 3, 3, 0, 0, 1, 2, 0, 3, 2, 2, 2, 0, 3, 2, 1, 4, 2, 4, 0, 4, 3, 3, 3, 3, 0, 1, 2, 1, 4, 1, 3, 3, 2, 3, 4, 2, 2, 0, 3, 2, 3, 2, 3, 0, 4, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 4, 4, 2, 4, 4, 1, 0, 0, 4, 1, 2, 3, 3, 0, 1, 3, 0, 0, 0, 3, 3, 4, 3, 1, 4, 4, 4, 3, 3, 1, 4, 3, 1, 4, 1, 1, 1, 1, 4, 0, 0, 2, 3, 0, 1, 1, 1, 3, 0, 4, 4, 2, 3, 2, 1, 0, 0, 0, 1, 1, 0, 1, 4, 2, 3, 2, 3, 4, 4, 3, 4, 0, 0, 2, 2, 3, 4, 1, 2, 0, 4, 4, 2, 2, 4, 0, 4, 1, 2, 3, 1, 0, 0, 4, 3, 2, 4, 3, 4, 2, 3, 2, 0, 2, 3, 4, 1, 4, 3, 3, 1, 0, 3, 4, 2, 0, 0, 1, 0, 4, 4, 0, 4, 1, 4, 0, 2, 2, 4, 1, 1, 1, 0, 0, 3, 3, 1, 3, 2, 4, 0, 0, 2, 2, 3, 1, 3, 3, 2, 2, 3, 1, 2, 4, 3, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 4, 0, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 3, 0, 1, 3, 1, 3, 3, 4, 4, 1, 4, 4, 0, 3, 2, 4, 2, 0, 3, 4, 0, 2, 1, 0, 2, 4, 4, 0, 1, 3, 4, 0, 0, 1, 3, 3, 4, 4, 0, 2, 2, 2, 3, 0, 2, 3, 4, 0, 2, 1, 1, 4, 1, 2, 1, 0, 3, 3, 3, 2, 2, 0, 2, 4, 3, 0, 0, 3, 1, 3, 0, 2, 1, 1, 1, 0, 2, 1, 4, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 3, 4, 4, 4, 2, 0, 4, 3, 3, 3, 1, 1, 2, 2, 1, 3, 2, 0, 2, 0, 2, 2, 0, 2, 4, 1, 0, 1, 2, 2, 4, 2, 4, 2, 3, 1, 1, 0, 3, 3, 4, 3, 0, 4, 3, 0, 2, 2, 0, 4, 2, 3, 3, 4, 4, 1, 3, 2, 2, 1, 1, 3, 3, 1, 2, 1, 1, 2, 0, 1, 4, 1, 3, 4, 1, 3, 1, 4, 0, 2, 1, 0, 0, 4, 2, 2, 0, 0, 0, 0, 0, 1, 4, 3, 1, 0, 4, 3, 4, 0, 0, 1, 0, 4, 2, 1, 0, 3, 1, 2, 2, 1, 0, 3, 0, 4, 3, 2, 1, 2, 1, 1, 1, 4, 1, 4] pubkeycol718 = [0, 2, 3, 4, 0, 3, 4, 1, 0, 3, 4, 4, 3, 0, 4, 1, 2, 0, 1, 1, 0, 2, 4, 0, 4, 0, 4, 1, 4, 0, 2, 3, 4, 1, 4, 1, 2, 3, 3, 0, 1, 4, 1, 2, 2, 3, 0, 0, 3, 4, 3, 3, 3, 4, 4, 1, 4, 0, 4, 4, 0, 3, 3, 4, 2, 2, 0, 4, 3, 4, 3, 1, 1, 1, 0, 2, 0, 3, 4, 1, 1, 4, 2, 0, 4, 0, 2, 1, 0, 4, 0, 0, 3, 1, 3, 4, 1, 4, 0, 2, 0, 4, 0, 2, 0, 1, 4, 1, 3, 4, 0, 2, 2, 4, 1, 0, 3, 4, 1, 1, 4, 3, 4, 4, 0, 4, 0, 0, 2, 3, 0, 4, 4, 2, 2, 1, 1, 2, 3, 2, 1, 2, 4, 3, 1, 0, 0, 0, 0, 0, 2, 4, 4, 2, 0, 2, 0, 4, 2, 1, 2, 2, 4, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 4, 3, 3, 4, 0, 1, 0, 3, 1, 1, 1, 4, 1, 3, 0, 2, 4, 3, 2, 0, 0, 0, 3, 2, 1, 3, 0, 2, 1, 3, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 1, 3, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 4, 0, 4, 0, 0, 1, 4, 2, 3, 0, 1, 2, 3, 0, 0, 1, 3, 2, 3, 4, 0, 1, 0, 4, 4, 3, 0, 4, 2, 0, 4, 0, 3, 2, 4, 3, 2, 2, 2, 3, 4, 4, 1, 0, 4, 3, 4, 4, 3, 2, 1, 0, 2, 1, 4, 3, 0, 0, 0, 2, 3, 3, 3, 4, 3, 0, 0, 0, 1, 0, 4, 2, 1, 4, 2, 3, 2, 0, 4, 1, 2, 3, 4, 1, 4, 3, 1, 2, 3, 1, 2, 1, 2, 3, 0, 0, 2, 2, 2, 2, 2, 0, 4, 3, 0, 3, 4, 2, 1, 3, 3, 1, 3, 3, 0, 2, 3, 1, 2, 1, 4, 1, 3, 4, 3, 3, 3, 4, 4, 0, 1, 1, 2, 2, 3, 3, 2, 4, 1, 3, 1, 4, 0, 0, 0, 0, 2, 3, 4, 2, 1, 2, 4, 4, 0, 3, 3, 4, 1, 0, 2, 0, 0, 0, 1, 1, 3, 0, 2, 4, 2, 1, 2, 3, 3, 3, 1, 4, 4, 3, 1, 3, 0, 2, 3, 0, 3, 2, 1, 3, 3, 0, 2, 2, 2, 0, 1, 0, 0, 3, 0, 0, 1, 4, 0, 3, 1, 0, 2, 3, 4, 2, 0, 1, 2, 3, 0, 1, 1, 3, 4, 3, 2, 3, 4, 0, 3, 2, 3, 1, 1, 4, 1, 4, 1, 0, 4, 3, 4, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 3, 1, 4, 1] pubkeycol719 = [0, 3, 0, 2, 3, 2, 1, 0, 1, 4, 2, 2, 2, 0, 4, 3, 0, 2, 3, 2, 0, 1, 3, 1, 1, 3, 0, 4, 2, 3, 1, 0, 2, 1, 0, 0, 1, 2, 1, 4, 2, 0, 0, 2, 2, 4, 4, 2, 3, 3, 2, 0, 4, 1, 4, 4, 0, 4, 0, 3, 1, 1, 1, 3, 3, 3, 3, 3, 4, 4, 3, 4, 2, 0, 4, 1, 1, 2, 2, 3, 2, 0, 1, 1, 3, 1, 4, 4, 4, 3, 2, 0, 2, 0, 3, 0, 3, 1, 4, 0, 0, 3, 0, 1, 3, 0, 3, 2, 2, 0, 3, 1, 4, 0, 2, 2, 3, 4, 2, 1, 2, 4, 0, 2, 2, 1, 0, 3, 3, 2, 2, 1, 3, 1, 1, 2, 1, 4, 3, 1, 0, 2, 4, 4, 0, 4, 4, 2, 0, 2, 3, 4, 0, 4, 0, 1, 1, 0, 3, 3, 1, 2, 4, 0, 0, 2, 2, 2, 2, 4, 1, 2, 2, 2, 4, 1, 1, 2, 1, 1, 1, 3, 2, 2, 2, 1, 0, 3, 1, 3, 0, 0, 2, 3, 2, 0, 2, 4, 3, 2, 4, 3, 4, 3, 1, 3, 3, 0, 2, 2, 3, 0, 3, 1, 3, 2, 0, 0, 0, 4, 3, 2, 0, 1, 4, 3, 0, 4, 2, 1, 3, 3, 1, 2, 0, 0, 3, 1, 0, 1, 3, 3, 1, 3, 3, 1, 1, 1, 0, 2, 2, 0, 4, 3, 1, 1, 2, 2, 4, 1, 1, 0, 2, 3, 2, 1, 3, 2, 2, 3, 3, 1, 0, 4, 2, 0, 1, 2, 3, 4, 1, 1, 2, 0, 2, 4, 0, 4, 3, 2, 3, 2, 1, 2, 3, 3, 2, 1, 3, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 4, 1, 4, 0, 3, 0, 0, 2, 0, 3, 1, 0, 4, 0, 3, 0, 0, 2, 2, 4, 0, 1, 2, 3, 1, 2, 1, 3, 3, 3, 1, 4, 3, 2, 4, 2, 2, 1, 2, 1, 4, 2, 2, 1, 0, 1, 4, 4, 0, 1, 2, 4, 4, 4, 3, 2, 2, 1, 4, 4, 2, 4, 1, 3, 2, 4, 0, 3, 3, 3, 3, 0, 3, 2, 1, 3, 0, 1, 0, 2, 3, 2, 1, 1, 4, 3, 2, 0, 2, 0, 4, 4, 0, 3, 1, 3, 0, 1, 2, 1, 4, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 4, 0, 3, 4, 1, 3, 0, 0, 3, 4, 3, 1, 3, 0, 0, 0, 0, 2, 1, 4, 0, 0, 2, 0, 3, 1, 0, 3, 3, 2, 2, 4, 2, 0, 4, 1, 1, 0, 3, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 4, 2, 1, 1, 1, 0, 4, 2, 0] pubkeycol720 = [2, 0, 2, 4, 3, 0, 4, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 3, 0, 4, 4, 2, 4, 4, 0, 0, 3, 3, 3, 1, 1, 2, 4, 2, 3, 1, 4, 1, 4, 0, 4, 3, 2, 1, 4, 0, 2, 4, 2, 3, 2, 4, 2, 4, 1, 3, 1, 3, 1, 0, 0, 2, 1, 1, 2, 1, 3, 4, 0, 0, 2, 0, 1, 4, 0, 2, 4, 0, 2, 2, 3, 0, 1, 1, 3, 4, 0, 4, 0, 0, 0, 0, 4, 2, 0, 2, 3, 3, 4, 4, 4, 4, 1, 2, 4, 3, 0, 1, 0, 4, 1, 1, 4, 4, 3, 4, 0, 1, 4, 1, 0, 2, 1, 1, 4, 2, 3, 4, 2, 0, 0, 2, 4, 0, 2, 0, 0, 1, 3, 3, 2, 0, 0, 1, 3, 3, 4, 3, 1, 1, 3, 2, 3, 2, 2, 2, 1, 0, 1, 0, 1, 3, 0, 3, 0, 4, 2, 1, 1, 0, 1, 4, 3, 0, 4, 1, 0, 3, 3, 0, 1, 0, 1, 1, 4, 1, 1, 1, 2, 4, 1, 0, 0, 2, 3, 3, 3, 1, 1, 4, 2, 4, 4, 2, 4, 1, 1, 0, 4, 1, 0, 2, 4, 1, 2, 1, 3, 2, 4, 0, 0, 0, 2, 0, 3, 2, 1, 2, 1, 0, 1, 1, 0, 1, 4, 1, 0, 4, 0, 1, 4, 2, 0, 0, 0, 2, 0, 0, 1, 1, 4, 0, 0, 4, 4, 2, 3, 0, 2, 1, 1, 4, 4, 2, 2, 0, 1, 2, 3, 3, 3, 0, 4, 0, 0, 2, 1, 3, 2, 4, 4, 0, 4, 0, 0, 4, 3, 0, 1, 0, 3, 3, 4, 3, 2, 4, 0, 2, 2, 2, 0, 4, 4, 3, 1, 4, 3, 1, 2, 3, 2, 0, 4, 1, 2, 4, 4, 2, 0, 2, 2, 2, 3, 1, 0, 1, 1, 4, 1, 3, 2, 2, 4, 3, 2, 1, 0, 0, 4, 1, 4, 4, 2, 2, 4, 3, 3, 0, 2, 2, 0, 0, 1, 3, 2, 3, 1, 4, 3, 1, 4, 1, 1, 2, 2, 4, 1, 3, 0, 1, 0, 1, 1, 0, 3, 0, 2, 3, 4, 1, 0, 1, 1, 4, 3, 2, 2, 2, 2, 0, 3, 4, 3, 2, 2, 4, 1, 3, 2, 1, 1, 2, 1, 0, 3, 0, 2, 1, 1, 1, 3, 0, 4, 3, 4, 2, 4, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 3, 4, 4, 1, 4, 4, 1, 3, 4, 0, 2, 2, 3, 3, 1, 2, 4, 4, 2, 4, 3, 2, 2, 2, 4, 4, 1, 1, 3, 3, 1, 3, 1, 2, 3, 2, 1, 1, 0, 2, 3, 4, 4, 1, 2, 0, 1, 3, 0, 1] pubkeycol721 = [0, 0, 2, 2, 4, 3, 1, 3, 4, 3, 3, 4, 4, 2, 4, 1, 0, 3, 3, 0, 1, 0, 0, 2, 1, 1, 4, 4, 2, 0, 4, 4, 3, 2, 1, 4, 2, 4, 2, 4, 0, 1, 1, 0, 4, 2, 1, 2, 3, 0, 4, 0, 2, 3, 4, 0, 2, 1, 2, 2, 4, 2, 3, 0, 4, 4, 4, 3, 3, 1, 0, 1, 2, 0, 3, 2, 3, 3, 0, 1, 2, 1, 2, 1, 3, 1, 1, 0, 4, 0, 3, 0, 0, 3, 3, 2, 2, 0, 4, 2, 0, 0, 1, 3, 3, 4, 2, 1, 2, 2, 1, 1, 1, 2, 0, 4, 1, 1, 1, 0, 4, 3, 4, 2, 4, 2, 1, 0, 0, 3, 2, 2, 4, 3, 2, 1, 1, 0, 1, 0, 0, 1, 2, 4, 1, 2, 4, 1, 4, 2, 0, 2, 1, 1, 4, 1, 1, 3, 0, 0, 4, 0, 4, 1, 4, 4, 0, 2, 4, 1, 4, 3, 1, 3, 2, 4, 4, 3, 4, 1, 0, 4, 2, 0, 2, 3, 0, 2, 3, 0, 1, 1, 0, 2, 1, 2, 2, 3, 4, 0, 4, 0, 4, 2, 2, 2, 4, 0, 4, 4, 1, 4, 1, 1, 3, 1, 1, 3, 1, 2, 4, 2, 3, 4, 3, 0, 4, 1, 4, 0, 1, 2, 1, 1, 3, 4, 4, 0, 1, 3, 4, 3, 2, 1, 0, 2, 2, 1, 0, 4, 3, 3, 1, 2, 3, 1, 4, 1, 0, 2, 3, 3, 2, 3, 1, 2, 0, 3, 1, 3, 0, 2, 2, 4, 4, 4, 4, 1, 3, 1, 2, 4, 0, 2, 2, 3, 1, 0, 4, 4, 4, 2, 1, 0, 4, 2, 3, 0, 1, 0, 1, 4, 0, 1, 4, 4, 2, 2, 3, 0, 1, 1, 2, 1, 2, 4, 3, 4, 3, 2, 2, 1, 0, 1, 4, 1, 4, 2, 1, 3, 1, 0, 3, 1, 2, 2, 1, 2, 3, 0, 1, 2, 0, 1, 1, 3, 1, 4, 2, 2, 1, 0, 1, 3, 2, 0, 0, 3, 1, 3, 2, 0, 4, 0, 1, 2, 0, 4, 1, 1, 3, 3, 0, 1, 4, 2, 4, 4, 3, 3, 3, 3, 2, 4, 2, 3, 0, 2, 2, 1, 2, 0, 4, 1, 0, 0, 1, 1, 0, 3, 1, 4, 0, 2, 0, 1, 1, 0, 3, 0, 1, 3, 1, 2, 0, 2, 4, 0, 1, 4, 3, 3, 1, 0, 0, 1, 1, 4, 3, 0, 0, 2, 0, 2, 4, 4, 4, 1, 3, 3, 2, 0, 2, 3, 1, 1, 1, 2, 0, 0, 4, 1, 3, 4, 1, 4, 4, 2, 3, 4, 1, 1, 3, 1, 0, 4, 1, 1, 0, 1, 0, 2, 4, 0, 2, 2, 3, 4, 4, 2] pubkeycol722 = [1, 2, 2, 0, 4, 3, 3, 3, 1, 0, 3, 0, 1, 1, 3, 0, 0, 0, 2, 0, 2, 4, 2, 1, 1, 3, 0, 2, 1, 0, 1, 1, 3, 4, 2, 0, 2, 2, 4, 4, 0, 3, 0, 4, 3, 3, 4, 1, 3, 1, 1, 2, 0, 0, 4, 0, 0, 2, 4, 0, 1, 2, 1, 0, 1, 4, 1, 0, 0, 0, 3, 0, 4, 2, 4, 4, 0, 1, 4, 2, 4, 4, 2, 4, 0, 1, 4, 4, 1, 4, 4, 3, 1, 4, 2, 0, 2, 1, 1, 3, 2, 1, 2, 2, 1, 1, 2, 1, 0, 4, 1, 2, 3, 2, 2, 4, 4, 0, 0, 3, 2, 1, 3, 4, 0, 1, 1, 0, 1, 4, 4, 2, 2, 0, 4, 0, 2, 4, 0, 2, 1, 4, 3, 2, 3, 3, 0, 4, 3, 3, 1, 3, 2, 3, 4, 2, 3, 2, 2, 2, 3, 2, 2, 3, 4, 0, 1, 4, 2, 2, 4, 3, 0, 4, 0, 4, 2, 4, 2, 1, 0, 2, 1, 2, 1, 4, 2, 4, 0, 1, 4, 3, 2, 0, 2, 1, 1, 4, 3, 1, 0, 1, 1, 2, 0, 4, 1, 0, 1, 1, 1, 0, 2, 4, 1, 1, 0, 4, 3, 3, 1, 0, 4, 2, 1, 4, 3, 0, 2, 4, 2, 4, 4, 0, 4, 2, 2, 1, 2, 1, 0, 2, 2, 4, 2, 2, 0, 3, 3, 3, 4, 1, 3, 0, 2, 2, 3, 4, 4, 3, 2, 3, 3, 2, 0, 0, 2, 3, 2, 4, 0, 4, 3, 1, 2, 1, 3, 0, 3, 4, 0, 2, 0, 2, 1, 4, 2, 2, 0, 0, 0, 0, 2, 3, 1, 2, 0, 0, 2, 2, 2, 3, 1, 4, 1, 1, 0, 3, 1, 3, 1, 4, 2, 3, 3, 2, 0, 2, 0, 1, 4, 4, 4, 3, 2, 1, 3, 0, 1, 1, 0, 1, 1, 4, 3, 1, 4, 2, 1, 4, 4, 3, 3, 1, 2, 0, 3, 2, 1, 0, 0, 0, 0, 3, 3, 4, 3, 3, 3, 3, 0, 4, 0, 1, 0, 2, 0, 3, 3, 1, 3, 4, 2, 4, 4, 2, 2, 4, 0, 1, 3, 4, 2, 3, 1, 3, 2, 2, 4, 2, 0, 3, 1, 4, 3, 0, 2, 2, 4, 0, 0, 3, 1, 4, 3, 2, 3, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 4, 0, 3, 4, 0, 2, 1, 3, 2, 1, 1, 0, 3, 4, 1, 3, 3, 4, 4, 3, 0, 1, 1, 2, 0, 4, 4, 2, 1, 2, 1, 1, 0, 2, 4, 3, 3, 1, 1, 2, 2, 0, 4, 4, 3, 0, 4, 1, 1, 1, 1, 4, 0, 1, 4, 2, 3, 0, 3, 1, 0] pubkeycol723 = [1, 2, 2, 4, 0, 3, 2, 3, 3, 3, 3, 1, 4, 0, 1, 4, 2, 1, 0, 4, 4, 3, 3, 1, 1, 3, 2, 1, 1, 3, 4, 2, 4, 2, 4, 0, 3, 0, 0, 1, 4, 4, 2, 0, 0, 2, 0, 0, 4, 4, 1, 1, 0, 4, 1, 1, 3, 4, 3, 2, 0, 1, 3, 0, 4, 2, 2, 1, 3, 2, 0, 4, 3, 4, 4, 4, 4, 0, 1, 2, 0, 0, 2, 0, 3, 2, 4, 4, 0, 3, 3, 2, 2, 1, 3, 0, 0, 0, 1, 4, 3, 1, 0, 2, 0, 0, 1, 4, 3, 1, 4, 3, 1, 2, 0, 2, 2, 2, 1, 3, 3, 1, 2, 1, 3, 4, 1, 0, 4, 4, 1, 4, 0, 3, 4, 1, 1, 1, 1, 3, 4, 2, 4, 0, 2, 0, 1, 3, 2, 2, 3, 4, 1, 1, 4, 0, 0, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 1, 3, 3, 1, 1, 3, 2, 4, 0, 0, 2, 0, 3, 0, 4, 3, 1, 4, 2, 4, 1, 2, 2, 4, 2, 2, 3, 2, 4, 3, 3, 0, 2, 2, 3, 3, 1, 2, 2, 3, 3, 1, 3, 3, 1, 4, 4, 3, 0, 1, 2, 2, 3, 0, 0, 1, 3, 2, 2, 1, 3, 0, 4, 2, 3, 2, 2, 3, 1, 1, 1, 4, 3, 0, 0, 1, 0, 0, 0, 2, 3, 1, 4, 4, 4, 1, 2, 4, 2, 1, 0, 3, 2, 1, 1, 0, 4, 0, 2, 4, 3, 4, 1, 2, 2, 0, 1, 4, 1, 4, 4, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 4, 2, 3, 0, 3, 0, 3, 1, 0, 3, 3, 4, 1, 0, 1, 0, 4, 3, 2, 2, 4, 3, 1, 2, 1, 1, 1, 0, 1, 1, 3, 3, 4, 0, 2, 2, 3, 1, 2, 4, 1, 0, 0, 0, 2, 2, 1, 1, 3, 1, 4, 1, 3, 1, 1, 0, 1, 0, 4, 2, 2, 0, 4, 4, 2, 2, 4, 0, 3, 0, 3, 0, 3, 3, 1, 2, 1, 1, 2, 2, 4, 1, 1, 3, 0, 2, 3, 4, 1, 1, 3, 1, 3, 0, 4, 2, 1, 1, 2, 1, 0, 3, 1, 4, 1, 0, 1, 1, 2, 3, 2, 3, 4, 3, 2, 0, 1, 2, 1, 2, 3, 4, 1, 4, 4, 3, 0, 4, 0, 1, 4, 3, 3, 1, 0, 3, 3, 1, 3, 3, 3, 3, 2, 4, 2, 2, 0, 2, 3, 4, 4, 4, 2, 2, 3, 0, 1, 4, 2, 1, 0, 0, 3, 0, 3, 2, 1, 1, 0, 0, 3, 4, 3, 1, 2, 3, 2, 4, 2, 0, 2, 2, 4, 3, 1, 2, 4, 4, 0, 2, 0] pubkeycol724 = [0, 1, 2, 3, 0, 3, 0, 1, 4, 1, 1, 2, 3, 3, 0, 1, 1, 0, 0, 2, 4, 3, 4, 3, 3, 4, 4, 2, 1, 0, 4, 3, 2, 3, 2, 4, 3, 1, 3, 0, 1, 4, 3, 3, 2, 2, 0, 3, 1, 2, 3, 3, 3, 4, 4, 1, 2, 4, 0, 0, 1, 4, 1, 3, 3, 1, 3, 2, 1, 3, 3, 3, 0, 0, 4, 3, 0, 1, 3, 3, 1, 3, 1, 4, 2, 2, 4, 3, 2, 0, 4, 4, 0, 2, 1, 4, 1, 0, 3, 4, 3, 4, 0, 1, 4, 2, 2, 3, 2, 2, 3, 4, 2, 4, 2, 3, 2, 3, 0, 3, 2, 0, 3, 0, 0, 2, 0, 0, 3, 3, 2, 1, 0, 2, 0, 1, 2, 4, 4, 4, 4, 3, 2, 3, 3, 3, 1, 1, 0, 3, 0, 0, 1, 2, 4, 1, 0, 0, 0, 4, 0, 2, 3, 3, 4, 2, 4, 2, 2, 1, 2, 3, 2, 1, 3, 1, 3, 4, 4, 3, 2, 2, 3, 3, 4, 4, 3, 2, 4, 2, 2, 4, 3, 4, 1, 3, 4, 4, 1, 3, 4, 0, 0, 1, 2, 1, 1, 1, 4, 0, 3, 4, 0, 1, 0, 0, 0, 1, 2, 4, 0, 1, 4, 1, 3, 3, 3, 4, 4, 4, 1, 0, 3, 2, 3, 0, 4, 4, 1, 2, 3, 2, 3, 0, 2, 1, 4, 1, 2, 1, 2, 0, 0, 3, 3, 0, 2, 4, 0, 2, 2, 3, 1, 0, 4, 1, 1, 1, 4, 1, 2, 1, 3, 4, 0, 2, 4, 3, 0, 0, 3, 3, 2, 2, 3, 3, 3, 1, 2, 3, 3, 0, 1, 1, 2, 4, 4, 3, 1, 2, 4, 2, 3, 2, 0, 0, 3, 3, 2, 2, 1, 1, 3, 1, 1, 2, 0, 3, 2, 0, 1, 3, 0, 2, 4, 2, 3, 4, 1, 0, 4, 4, 1, 4, 3, 1, 2, 3, 4, 0, 2, 0, 1, 2, 4, 2, 1, 2, 4, 4, 4, 3, 1, 4, 3, 1, 0, 0, 3, 4, 0, 3, 1, 0, 1, 0, 1, 2, 1, 4, 3, 3, 4, 2, 3, 2, 0, 3, 4, 4, 1, 4, 2, 3, 3, 2, 0, 2, 3, 3, 4, 2, 1, 4, 0, 4, 2, 0, 4, 4, 2, 3, 2, 4, 1, 4, 4, 3, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 4, 3, 0, 2, 3, 0, 0, 2, 4, 0, 2, 1, 3, 4, 1, 3, 0, 1, 3, 4, 0, 3, 3, 3, 4, 2, 1, 0, 3, 4, 0, 1, 0, 1, 1, 1, 1, 3, 4, 4, 0, 4, 3, 0, 1, 2, 2, 1, 3, 2, 1, 4, 0, 4, 4, 2, 3, 1, 1, 1, 0, 4] pubkeycol725 = [3, 1, 2, 1, 4, 2, 0, 2, 2, 4, 1, 0, 0, 3, 2, 2, 1, 3, 0, 3, 0, 2, 3, 1, 3, 2, 2, 4, 3, 1, 1, 1, 1, 3, 0, 2, 4, 4, 4, 0, 0, 1, 3, 4, 2, 1, 0, 1, 0, 0, 2, 1, 3, 1, 0, 2, 3, 1, 1, 2, 3, 3, 0, 0, 2, 3, 3, 4, 4, 2, 4, 2, 0, 4, 0, 4, 2, 0, 1, 2, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 1, 3, 3, 3, 0, 3, 4, 2, 2, 0, 2, 2, 1, 2, 3, 0, 2, 1, 0, 2, 4, 4, 1, 2, 0, 1, 1, 2, 1, 2, 3, 4, 3, 0, 1, 1, 1, 4, 2, 1, 0, 1, 0, 1, 4, 0, 4, 3, 0, 2, 1, 2, 2, 0, 2, 3, 3, 0, 1, 0, 1, 2, 4, 0, 0, 3, 3, 4, 2, 3, 0, 2, 1, 4, 1, 4, 2, 4, 3, 3, 2, 1, 4, 2, 3, 4, 1, 3, 0, 4, 2, 3, 1, 0, 2, 3, 2, 0, 2, 2, 4, 0, 2, 3, 2, 0, 4, 0, 1, 2, 2, 0, 1, 2, 1, 4, 2, 1, 2, 3, 1, 3, 0, 4, 0, 4, 0, 1, 2, 0, 3, 4, 1, 2, 3, 2, 4, 4, 4, 2, 0, 2, 2, 4, 0, 3, 0, 0, 0, 2, 2, 1, 3, 0, 1, 0, 0, 1, 0, 2, 4, 0, 0, 3, 2, 4, 2, 0, 4, 2, 0, 0, 1, 4, 1, 1, 2, 2, 3, 3, 0, 3, 1, 2, 3, 0, 4, 3, 1, 0, 4, 0, 3, 0, 4, 2, 3, 1, 2, 0, 3, 2, 0, 0, 1, 0, 2, 1, 4, 1, 1, 0, 2, 4, 4, 2, 3, 4, 2, 2, 0, 1, 2, 4, 1, 0, 4, 4, 4, 1, 4, 3, 0, 1, 2, 3, 3, 2, 3, 1, 4, 2, 0, 4, 2, 4, 4, 0, 3, 3, 3, 2, 0, 0, 1, 3, 3, 4, 4, 1, 4, 0, 3, 4, 0, 2, 4, 2, 2, 4, 3, 4, 4, 2, 3, 0, 1, 3, 0, 4, 2, 3, 1, 2, 0, 2, 2, 1, 2, 0, 3, 3, 2, 4, 3, 3, 4, 3, 2, 0, 1, 1, 4, 4, 0, 0, 0, 2, 0, 1, 3, 2, 2, 4, 4, 4, 1, 1, 1, 3, 3, 3, 1, 3, 2, 4, 0, 3, 4, 0, 4, 3, 4, 2, 0, 1, 4, 1, 0, 0, 1, 2, 3, 1, 4, 4, 3, 2, 0, 0, 4, 2, 4, 1, 0, 3, 0, 2, 4, 0, 1, 4, 1, 0, 0, 0, 3, 3, 2, 4, 0, 3, 3, 2, 1, 4, 0, 2, 1, 2, 4, 2, 2, 2, 1, 4, 4, 2, 4, 1] pubkeycol726 = [3, 2, 3, 2, 2, 2, 3, 3, 2, 3, 0, 4, 3, 2, 3, 3, 4, 1, 3, 2, 0, 4, 4, 0, 3, 2, 0, 4, 0, 1, 4, 1, 4, 3, 4, 3, 0, 2, 2, 1, 1, 0, 0, 4, 3, 0, 0, 3, 2, 2, 2, 2, 1, 4, 0, 0, 4, 1, 0, 0, 4, 3, 3, 2, 3, 2, 1, 1, 4, 1, 2, 4, 0, 2, 3, 2, 2, 2, 2, 0, 3, 0, 0, 4, 2, 2, 3, 2, 3, 4, 0, 1, 1, 4, 3, 0, 2, 4, 3, 1, 2, 1, 2, 4, 1, 1, 3, 4, 2, 2, 2, 3, 4, 4, 0, 2, 1, 2, 0, 4, 0, 3, 2, 1, 4, 2, 2, 0, 0, 4, 0, 2, 1, 1, 2, 2, 3, 0, 4, 0, 2, 1, 2, 3, 0, 3, 4, 3, 4, 3, 2, 4, 4, 3, 4, 1, 4, 3, 3, 0, 1, 1, 3, 4, 4, 0, 0, 3, 3, 2, 0, 3, 3, 4, 0, 4, 2, 2, 1, 1, 1, 4, 2, 2, 3, 1, 0, 2, 4, 2, 0, 0, 4, 1, 3, 4, 0, 1, 3, 3, 4, 1, 1, 2, 4, 0, 0, 4, 1, 4, 0, 2, 1, 3, 2, 1, 3, 1, 0, 1, 3, 4, 2, 1, 3, 1, 1, 1, 4, 3, 3, 1, 2, 4, 3, 1, 4, 3, 1, 3, 4, 3, 1, 3, 0, 2, 0, 1, 1, 3, 1, 4, 3, 4, 2, 3, 0, 1, 4, 0, 1, 0, 2, 3, 0, 4, 0, 3, 1, 3, 3, 3, 4, 1, 0, 2, 0, 3, 3, 1, 2, 0, 1, 0, 2, 2, 4, 3, 2, 4, 1, 2, 2, 0, 1, 3, 3, 2, 1, 3, 1, 2, 4, 2, 4, 3, 3, 3, 2, 1, 2, 2, 0, 0, 1, 3, 4, 3, 3, 3, 1, 3, 0, 0, 3, 4, 4, 2, 0, 4, 1, 3, 4, 0, 1, 2, 3, 0, 0, 0, 1, 3, 4, 0, 3, 3, 3, 3, 1, 4, 2, 4, 4, 0, 3, 0, 1, 3, 2, 2, 0, 0, 3, 4, 2, 0, 3, 2, 3, 0, 3, 2, 1, 0, 1, 4, 4, 0, 3, 4, 2, 4, 3, 1, 2, 4, 4, 3, 1, 2, 0, 1, 0, 0, 1, 1, 0, 3, 1, 0, 3, 2, 2, 2, 4, 4, 1, 2, 0, 1, 2, 0, 3, 0, 3, 1, 3, 3, 2, 4, 1, 3, 2, 3, 1, 3, 3, 3, 2, 4, 1, 3, 2, 1, 1, 0, 2, 0, 1, 4, 1, 4, 1, 4, 0, 2, 1, 3, 0, 4, 0, 1, 1, 2, 1, 0, 3, 1, 3, 3, 4, 2, 1, 0, 4, 2, 1, 1, 3, 1, 1, 0, 3, 2, 2, 4, 3, 2, 0, 3] pubkeycol727 = [0, 3, 0, 0, 4, 1, 4, 1, 4, 2, 1, 0, 3, 1, 3, 4, 1, 2, 0, 0, 3, 2, 0, 4, 3, 2, 2, 4, 3, 3, 1, 1, 3, 0, 1, 1, 1, 2, 2, 4, 1, 4, 2, 2, 1, 0, 3, 1, 0, 1, 3, 1, 1, 2, 3, 2, 3, 4, 1, 3, 3, 4, 2, 3, 4, 0, 2, 2, 0, 3, 0, 3, 0, 2, 1, 1, 2, 3, 4, 0, 1, 0, 4, 0, 3, 3, 4, 2, 2, 1, 0, 3, 4, 1, 0, 0, 1, 0, 2, 4, 3, 2, 0, 1, 0, 3, 0, 1, 0, 4, 2, 0, 2, 1, 3, 4, 3, 3, 1, 3, 1, 1, 2, 4, 2, 1, 2, 2, 4, 1, 1, 0, 4, 1, 2, 4, 1, 2, 2, 0, 4, 1, 3, 1, 1, 2, 3, 0, 1, 2, 3, 2, 2, 3, 4, 2, 1, 0, 4, 4, 0, 4, 1, 1, 3, 1, 3, 4, 2, 3, 4, 2, 3, 4, 0, 1, 3, 4, 2, 1, 2, 3, 4, 4, 4, 1, 1, 1, 3, 1, 1, 4, 0, 1, 1, 1, 0, 4, 2, 1, 3, 3, 1, 2, 4, 1, 0, 0, 2, 3, 3, 2, 0, 2, 4, 4, 0, 0, 3, 2, 3, 0, 4, 3, 2, 4, 2, 1, 4, 3, 3, 4, 2, 2, 3, 0, 4, 1, 1, 4, 2, 0, 2, 3, 2, 2, 3, 3, 1, 0, 1, 1, 4, 1, 1, 4, 0, 1, 4, 2, 0, 2, 4, 4, 1, 3, 0, 4, 4, 1, 0, 4, 4, 0, 4, 1, 4, 1, 2, 0, 3, 0, 4, 4, 0, 0, 0, 2, 1, 4, 2, 4, 0, 2, 3, 2, 0, 0, 3, 2, 4, 0, 1, 0, 3, 4, 0, 3, 2, 0, 1, 3, 3, 2, 4, 4, 3, 0, 4, 4, 1, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 0, 3, 2, 1, 2, 2, 4, 3, 0, 4, 2, 0, 2, 4, 0, 3, 1, 3, 0, 3, 4, 1, 0, 1, 1, 3, 2, 2, 1, 3, 4, 2, 1, 3, 1, 2, 3, 2, 0, 1, 2, 4, 1, 3, 3, 4, 0, 2, 0, 0, 4, 0, 1, 4, 3, 2, 4, 0, 4, 4, 2, 3, 2, 0, 1, 3, 2, 4, 1, 0, 3, 3, 4, 4, 2, 2, 3, 0, 4, 1, 2, 2, 2, 4, 2, 4, 0, 3, 2, 0, 1, 1, 1, 0, 4, 2, 4, 0, 2, 0, 0, 3, 4, 3, 0, 1, 3, 2, 1, 3, 3, 4, 0, 4, 0, 3, 1, 3, 1, 2, 2, 1, 0, 2, 2, 2, 3, 1, 1, 0, 0, 3, 4, 0, 0, 3, 1, 3, 0, 3, 4, 3, 2, 3, 2, 4, 4, 1, 0] pubkeycol728 = [2, 0, 4, 3, 1, 1, 1, 3, 2, 2, 0, 0, 1, 1, 1, 3, 2, 0, 3, 2, 2, 1, 0, 4, 0, 0, 3, 0, 3, 3, 1, 4, 0, 4, 3, 3, 2, 1, 4, 3, 1, 3, 0, 1, 0, 2, 1, 1, 1, 4, 4, 2, 2, 2, 1, 4, 2, 1, 4, 0, 1, 2, 3, 0, 2, 0, 1, 0, 3, 4, 3, 0, 2, 3, 4, 3, 0, 4, 4, 0, 3, 4, 2, 2, 1, 2, 4, 4, 3, 2, 4, 0, 3, 0, 1, 0, 0, 4, 2, 0, 2, 4, 0, 3, 3, 3, 4, 0, 2, 0, 3, 4, 1, 2, 0, 3, 3, 2, 1, 1, 4, 4, 0, 3, 3, 1, 4, 0, 0, 2, 4, 0, 1, 2, 4, 1, 3, 1, 3, 2, 4, 0, 2, 0, 0, 1, 1, 4, 1, 4, 2, 3, 3, 2, 1, 3, 4, 2, 1, 4, 2, 3, 4, 2, 2, 3, 0, 2, 3, 0, 0, 0, 3, 3, 0, 2, 4, 2, 1, 1, 4, 3, 1, 0, 2, 1, 4, 4, 2, 2, 1, 1, 0, 1, 3, 4, 1, 3, 3, 2, 1, 2, 4, 3, 0, 4, 3, 0, 2, 1, 0, 0, 2, 1, 4, 1, 0, 2, 4, 4, 1, 0, 2, 1, 3, 2, 4, 0, 2, 3, 3, 0, 4, 3, 3, 1, 1, 3, 3, 4, 2, 3, 2, 1, 4, 0, 0, 4, 4, 4, 2, 3, 0, 4, 0, 2, 3, 1, 1, 3, 0, 3, 2, 2, 2, 3, 3, 2, 3, 0, 1, 4, 4, 0, 1, 4, 3, 3, 1, 4, 0, 4, 0, 4, 0, 2, 4, 4, 2, 3, 3, 4, 4, 2, 1, 3, 0, 3, 0, 3, 3, 0, 0, 3, 4, 3, 2, 1, 3, 2, 3, 3, 3, 0, 4, 1, 4, 2, 1, 1, 1, 4, 1, 0, 4, 1, 3, 0, 1, 0, 3, 0, 0, 4, 2, 0, 0, 2, 0, 3, 2, 4, 0, 0, 0, 0, 3, 0, 3, 2, 0, 3, 1, 2, 4, 2, 2, 1, 3, 4, 2, 4, 2, 0, 0, 3, 2, 1, 3, 4, 0, 1, 0, 2, 2, 4, 0, 4, 4, 4, 3, 3, 0, 3, 3, 2, 1, 0, 4, 3, 4, 2, 0, 1, 4, 0, 4, 3, 2, 2, 0, 3, 0, 0, 2, 2, 2, 4, 1, 0, 4, 2, 4, 4, 1, 1, 0, 3, 3, 1, 4, 1, 2, 3, 2, 4, 0, 3, 4, 4, 2, 1, 4, 4, 2, 2, 0, 3, 3, 2, 0, 4, 0, 1, 2, 4, 1, 1, 2, 3, 1, 4, 1, 0, 3, 0, 4, 2, 2, 0, 3, 3, 1, 2, 2, 1, 3, 0, 4, 4, 3, 2, 1, 1, 1, 4, 2, 0, 1, 2] pubkeycol729 = [3, 1, 1, 0, 3, 4, 0, 3, 1, 2, 3, 3, 1, 1, 3, 0, 3, 1, 3, 3, 0, 2, 0, 3, 3, 4, 0, 4, 1, 4, 2, 4, 4, 4, 3, 0, 3, 4, 1, 3, 4, 2, 0, 3, 3, 3, 3, 3, 1, 1, 2, 2, 4, 0, 3, 0, 2, 3, 2, 2, 0, 3, 4, 3, 1, 4, 4, 2, 0, 3, 0, 3, 3, 0, 2, 0, 0, 4, 3, 1, 3, 3, 4, 2, 3, 4, 3, 4, 3, 3, 1, 4, 0, 1, 4, 0, 0, 2, 4, 0, 1, 0, 2, 2, 1, 1, 4, 4, 4, 0, 2, 1, 2, 4, 1, 1, 0, 0, 2, 0, 0, 2, 0, 3, 3, 1, 2, 2, 2, 3, 4, 3, 1, 4, 3, 3, 0, 2, 1, 3, 0, 1, 0, 1, 4, 2, 0, 3, 4, 1, 2, 3, 1, 3, 0, 4, 2, 0, 1, 2, 4, 3, 4, 4, 2, 0, 3, 0, 0, 0, 2, 2, 4, 0, 1, 3, 1, 3, 3, 4, 4, 0, 1, 4, 1, 1, 0, 1, 2, 1, 2, 3, 2, 4, 4, 0, 0, 4, 3, 0, 4, 2, 2, 3, 4, 4, 3, 2, 2, 0, 0, 1, 0, 0, 3, 0, 4, 1, 1, 2, 3, 0, 1, 3, 1, 3, 3, 4, 4, 4, 0, 2, 4, 3, 2, 1, 4, 2, 2, 3, 3, 0, 1, 4, 4, 1, 1, 0, 2, 4, 3, 4, 2, 0, 2, 1, 4, 0, 0, 1, 4, 3, 3, 1, 3, 1, 0, 3, 4, 0, 2, 0, 2, 0, 4, 0, 3, 2, 4, 4, 0, 4, 3, 1, 0, 0, 1, 0, 1, 3, 4, 0, 0, 3, 0, 0, 4, 2, 3, 2, 1, 1, 2, 0, 0, 4, 0, 1, 4, 4, 3, 2, 4, 2, 0, 3, 4, 1, 0, 1, 3, 0, 3, 3, 3, 0, 2, 3, 4, 0, 2, 1, 3, 3, 2, 3, 4, 2, 2, 1, 4, 2, 1, 2, 1, 0, 4, 1, 4, 1, 4, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 3, 3, 4, 0, 2, 2, 1, 1, 1, 2, 1, 4, 2, 0, 4, 4, 3, 4, 2, 0, 0, 3, 1, 4, 1, 0, 4, 3, 4, 3, 4, 1, 0, 0, 0, 1, 4, 4, 1, 3, 3, 0, 3, 2, 4, 4, 3, 3, 3, 0, 4, 4, 2, 4, 3, 4, 1, 4, 3, 1, 0, 4, 2, 1, 4, 0, 0, 4, 1, 4, 3, 1, 2, 2, 4, 2, 4, 4, 3, 3, 1, 1, 1, 4, 2, 1, 1, 0, 0, 4, 0, 3, 0, 0, 1, 1, 2, 0, 4, 4, 2, 2, 3, 3, 4, 4, 2, 1, 0, 4, 1, 4, 3, 3, 4, 1, 2, 1] pubkeycol730 = [2, 1, 2, 3, 1, 3, 3, 0, 0, 2, 4, 4, 1, 3, 1, 3, 3, 4, 0, 1, 2, 3, 0, 2, 4, 2, 1, 4, 4, 3, 3, 4, 4, 4, 4, 0, 1, 3, 1, 3, 0, 0, 0, 1, 1, 0, 2, 1, 3, 4, 2, 0, 0, 4, 3, 4, 2, 4, 3, 0, 4, 0, 0, 1, 4, 1, 3, 4, 3, 3, 3, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 1, 4, 1, 0, 3, 0, 1, 2, 3, 1, 4, 3, 1, 1, 2, 1, 2, 1, 2, 1, 1, 3, 3, 1, 3, 2, 4, 1, 2, 1, 2, 4, 4, 2, 1, 1, 3, 4, 3, 3, 4, 1, 3, 0, 1, 3, 3, 0, 3, 0, 0, 1, 0, 0, 1, 4, 4, 0, 0, 0, 0, 4, 0, 4, 1, 1, 3, 0, 2, 3, 4, 3, 4, 2, 0, 1, 4, 4, 2, 4, 4, 3, 1, 3, 0, 4, 3, 0, 1, 1, 3, 4, 4, 2, 4, 0, 1, 1, 0, 4, 3, 1, 0, 3, 0, 1, 3, 3, 2, 1, 4, 0, 1, 2, 3, 1, 4, 2, 4, 4, 3, 1, 2, 2, 1, 1, 2, 1, 0, 4, 4, 4, 2, 4, 3, 3, 3, 4, 3, 4, 4, 0, 4, 3, 0, 1, 0, 4, 1, 0, 4, 2, 3, 0, 1, 1, 2, 1, 4, 0, 0, 2, 2, 1, 4, 1, 3, 1, 2, 0, 4, 3, 3, 0, 1, 0, 4, 1, 3, 2, 4, 4, 0, 4, 3, 3, 1, 0, 1, 2, 4, 1, 2, 1, 4, 3, 1, 1, 3, 3, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 3, 4, 0, 3, 2, 2, 2, 0, 1, 4, 0, 2, 1, 3, 2, 4, 4, 3, 3, 4, 3, 2, 0, 3, 1, 2, 3, 1, 0, 1, 1, 0, 3, 3, 0, 4, 0, 0, 0, 2, 3, 0, 4, 2, 2, 3, 4, 0, 0, 2, 3, 1, 3, 2, 0, 2, 1, 1, 1, 3, 0, 3, 2, 1, 4, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 3, 2, 1, 1, 4, 4, 1, 4, 1, 0, 2, 4, 4, 4, 0, 4, 2, 4, 4, 4, 0, 2, 2, 2, 3, 2, 3, 3, 0, 2, 4, 3, 1, 0, 3, 4, 4, 1, 2, 3, 3, 3, 4, 2, 4, 0, 1, 0, 0, 4, 1, 0, 4, 3, 4, 4, 2, 1, 4, 2, 2, 4, 0, 0, 4, 4, 0, 2, 1, 3, 2, 1, 3, 3, 0, 0, 2, 0, 0, 1, 0, 3, 4, 0, 2, 2, 0, 2, 4, 4, 1, 1, 0, 0, 1, 0, 0, 1, 3, 2, 2, 2, 0, 1, 4, 3, 0, 2] pubkeycol731 = [3, 3, 3, 0, 1, 4, 2, 2, 0, 0, 1, 4, 0, 3, 4, 0, 0, 1, 1, 4, 1, 4, 0, 1, 4, 3, 1, 1, 2, 3, 1, 4, 0, 1, 3, 1, 3, 0, 4, 2, 0, 3, 3, 2, 2, 4, 0, 1, 2, 3, 2, 3, 0, 4, 1, 4, 3, 2, 4, 1, 0, 1, 4, 2, 3, 3, 3, 0, 3, 0, 2, 3, 4, 0, 1, 1, 4, 1, 2, 4, 3, 3, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 3, 1, 2, 2, 0, 1, 3, 0, 0, 4, 3, 1, 1, 1, 3, 4, 4, 1, 0, 3, 2, 1, 1, 1, 3, 2, 0, 3, 0, 0, 2, 1, 0, 0, 1, 4, 1, 0, 0, 0, 4, 4, 3, 0, 0, 2, 4, 0, 2, 3, 1, 3, 2, 1, 4, 4, 0, 0, 4, 1, 2, 4, 3, 0, 2, 1, 2, 0, 0, 4, 1, 2, 0, 1, 3, 0, 0, 1, 2, 2, 0, 4, 2, 3, 0, 3, 1, 4, 3, 0, 4, 3, 3, 4, 0, 1, 3, 3, 3, 3, 4, 0, 2, 2, 2, 2, 3, 4, 2, 3, 0, 3, 3, 1, 3, 4, 3, 4, 2, 3, 1, 2, 1, 4, 2, 2, 1, 3, 1, 1, 3, 4, 0, 0, 2, 3, 2, 2, 2, 0, 4, 4, 1, 3, 4, 1, 4, 4, 0, 3, 1, 1, 2, 2, 0, 3, 3, 2, 2, 2, 1, 4, 0, 4, 0, 2, 0, 3, 3, 4, 3, 0, 4, 2, 3, 1, 4, 1, 1, 4, 1, 0, 1, 3, 3, 3, 0, 0, 4, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 4, 4, 2, 4, 1, 2, 2, 4, 3, 1, 2, 0, 0, 0, 4, 2, 0, 2, 1, 3, 1, 4, 3, 3, 0, 4, 0, 0, 4, 2, 2, 1, 3, 4, 0, 0, 3, 1, 0, 4, 2, 2, 2, 4, 1, 0, 4, 4, 1, 0, 1, 4, 3, 4, 3, 2, 1, 3, 2, 4, 3, 1, 3, 2, 1, 3, 4, 3, 4, 0, 0, 3, 2, 4, 2, 0, 0, 1, 2, 4, 0, 1, 4, 4, 0, 4, 2, 3, 2, 2, 4, 2, 0, 3, 4, 3, 2, 2, 0, 4, 2, 3, 2, 1, 3, 4, 2, 2, 1, 2, 2, 4, 3, 4, 3, 0, 3, 2, 3, 2, 0, 3, 0, 0, 1, 0, 4, 3, 1, 2, 4, 4, 4, 0, 1, 3, 4, 0, 2, 4, 2, 4, 3, 4, 1, 0, 0, 4, 1, 2, 1, 2, 1, 1, 4, 3, 0, 4, 3, 0, 3, 2, 1, 4, 1, 0, 1, 2, 2, 4, 4, 3, 4, 3, 2, 3, 4, 1, 0, 2, 1, 4, 2, 0, 4, 3, 1, 0, 1] pubkeycol732 = [1, 4, 1, 4, 2, 4, 0, 3, 1, 0, 4, 3, 0, 3, 3, 3, 3, 1, 1, 1, 4, 2, 2, 4, 4, 4, 4, 0, 0, 4, 1, 3, 2, 3, 3, 4, 3, 3, 1, 4, 2, 3, 0, 0, 3, 4, 0, 3, 1, 1, 2, 1, 3, 1, 3, 1, 0, 1, 3, 0, 0, 1, 4, 4, 3, 4, 1, 1, 3, 4, 2, 4, 4, 2, 1, 4, 1, 3, 1, 1, 2, 0, 1, 3, 0, 2, 4, 0, 1, 4, 0, 1, 2, 0, 4, 1, 0, 0, 1, 3, 3, 0, 2, 0, 1, 4, 2, 2, 1, 3, 0, 4, 4, 1, 3, 1, 2, 2, 3, 3, 3, 3, 2, 0, 4, 3, 1, 4, 3, 3, 1, 1, 1, 3, 3, 3, 0, 2, 0, 1, 1, 0, 2, 1, 1, 3, 1, 2, 3, 3, 2, 1, 4, 4, 1, 4, 2, 1, 3, 0, 3, 3, 2, 2, 0, 4, 1, 4, 1, 3, 3, 4, 4, 1, 3, 0, 3, 0, 3, 2, 4, 1, 2, 1, 1, 0, 1, 3, 4, 2, 4, 4, 0, 4, 2, 2, 1, 2, 0, 4, 2, 3, 3, 2, 1, 0, 2, 3, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 3, 4, 2, 2, 1, 1, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 1, 3, 4, 2, 4, 0, 2, 0, 2, 4, 4, 0, 2, 4, 4, 3, 1, 1, 2, 1, 1, 3, 4, 3, 4, 1, 3, 2, 2, 1, 0, 2, 3, 3, 2, 1, 1, 3, 2, 0, 1, 4, 2, 0, 1, 4, 4, 1, 1, 0, 4, 0, 4, 4, 0, 3, 2, 4, 4, 3, 1, 4, 2, 2, 0, 4, 4, 2, 3, 0, 2, 2, 2, 0, 1, 4, 0, 3, 3, 0, 1, 0, 0, 4, 1, 1, 0, 3, 1, 1, 1, 0, 3, 0, 4, 3, 0, 0, 4, 3, 2, 2, 2, 1, 3, 2, 2, 2, 1, 0, 2, 4, 3, 2, 1, 1, 2, 0, 3, 0, 0, 2, 2, 4, 2, 3, 3, 3, 4, 1, 2, 2, 0, 0, 3, 3, 3, 1, 1, 2, 1, 3, 0, 2, 1, 4, 3, 4, 1, 2, 3, 4, 4, 0, 4, 0, 1, 3, 2, 0, 3, 4, 0, 0, 4, 0, 2, 4, 3, 2, 2, 0, 2, 3, 1, 1, 1, 2, 0, 1, 1, 4, 2, 0, 4, 3, 2, 3, 0, 4, 0, 4, 4, 1, 2, 1, 4, 0, 4, 3, 4, 2, 0, 3, 2, 2, 3, 0, 0, 1, 3, 4, 3, 3, 1, 3, 2, 1, 4, 3, 4, 1, 3, 1, 3, 4, 1, 3, 2, 1, 2, 4, 0, 3, 3, 0, 4, 0, 3, 0, 1, 2, 4, 3] pubkeycol733 = [4, 0, 2, 2, 1, 4, 1, 1, 1, 3, 3, 2, 0, 2, 4, 0, 1, 2, 4, 1, 4, 0, 2, 1, 0, 3, 1, 2, 4, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 4, 4, 2, 3, 4, 2, 0, 3, 1, 4, 4, 1, 1, 0, 3, 0, 2, 3, 1, 3, 1, 0, 2, 4, 0, 0, 1, 4, 3, 3, 0, 4, 0, 3, 3, 2, 1, 1, 0, 3, 1, 2, 3, 3, 3, 0, 2, 2, 1, 1, 2, 4, 3, 0, 2, 4, 1, 3, 1, 1, 1, 3, 4, 2, 3, 2, 4, 3, 2, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 0, 4, 4, 3, 3, 2, 4, 2, 4, 3, 1, 0, 4, 1, 2, 4, 1, 0, 4, 3, 4, 2, 2, 4, 3, 2, 1, 2, 1, 4, 3, 4, 1, 4, 3, 0, 0, 3, 0, 1, 0, 2, 1, 4, 0, 1, 4, 2, 0, 4, 2, 3, 1, 3, 2, 1, 3, 2, 3, 4, 2, 0, 3, 2, 3, 4, 3, 1, 4, 0, 3, 2, 3, 0, 0, 1, 0, 2, 1, 2, 3, 3, 3, 0, 3, 1, 3, 4, 1, 4, 2, 3, 2, 0, 1, 3, 0, 1, 0, 1, 3, 2, 2, 4, 2, 2, 2, 1, 4, 0, 0, 4, 0, 1, 1, 2, 4, 0, 2, 0, 0, 0, 1, 1, 4, 4, 2, 3, 1, 3, 4, 1, 0, 1, 3, 0, 3, 1, 2, 3, 4, 4, 4, 4, 3, 1, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 2, 2, 3, 4, 2, 2, 2, 2, 2, 1, 1, 0, 3, 1, 1, 4, 2, 4, 0, 1, 0, 1, 0, 1, 4, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 3, 4, 1, 0, 1, 4, 0, 0, 3, 2, 4, 1, 0, 2, 4, 1, 3, 3, 4, 3, 0, 0, 2, 0, 2, 0, 3, 4, 3, 1, 4, 1, 1, 2, 4, 1, 0, 0, 3, 1, 2, 3, 4, 4, 2, 3, 1, 0, 2, 1, 4, 2, 0, 3, 4, 3, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 3, 0, 4, 3, 4, 1, 0, 4, 1, 1, 2, 1, 0, 2, 4, 2, 2, 4, 2, 0, 1, 0, 3, 2, 4, 3, 2, 4, 0, 0, 0, 1, 3, 4, 4, 1, 1, 4, 2, 0, 3, 4, 3, 2, 4, 1, 1, 0, 1, 4, 3, 3, 2, 4, 2, 4, 4, 3, 1, 3, 0, 1, 2, 0, 1, 2, 4, 3, 0, 4, 4, 2, 1, 2, 4, 3, 0, 3, 0, 3, 2, 1, 2, 1, 0, 3, 1, 0, 0, 0, 4, 0, 0, 3, 1, 4] pubkeycol734 = [1, 4, 4, 3, 1, 0, 4, 2, 3, 1, 3, 4, 3, 3, 1, 4, 3, 4, 0, 1, 4, 2, 3, 0, 3, 1, 4, 3, 1, 4, 1, 1, 0, 2, 2, 1, 3, 0, 2, 2, 4, 2, 4, 1, 4, 4, 2, 2, 3, 4, 0, 2, 0, 0, 0, 2, 2, 2, 0, 4, 1, 0, 3, 0, 4, 1, 0, 4, 0, 2, 4, 4, 4, 3, 1, 4, 4, 3, 2, 3, 4, 1, 2, 0, 3, 4, 0, 2, 4, 4, 2, 2, 4, 1, 4, 2, 4, 3, 0, 2, 0, 1, 1, 1, 1, 0, 2, 4, 1, 4, 4, 2, 0, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 0, 3, 3, 0, 3, 2, 4, 3, 0, 0, 1, 4, 2, 3, 4, 3, 0, 1, 2, 0, 4, 3, 1, 3, 0, 2, 3, 3, 4, 0, 3, 3, 0, 0, 0, 4, 3, 2, 2, 3, 0, 0, 4, 3, 0, 2, 4, 0, 2, 2, 1, 1, 4, 1, 0, 2, 4, 1, 2, 1, 4, 2, 3, 0, 0, 2, 4, 4, 3, 1, 1, 1, 0, 0, 3, 2, 0, 2, 3, 0, 4, 3, 1, 0, 1, 2, 0, 2, 4, 0, 3, 1, 2, 4, 0, 1, 3, 2, 0, 0, 4, 1, 0, 2, 4, 2, 2, 3, 0, 4, 4, 3, 3, 2, 1, 1, 3, 4, 0, 1, 4, 3, 2, 0, 4, 4, 3, 2, 3, 0, 2, 0, 4, 4, 1, 0, 3, 0, 3, 0, 4, 3, 0, 0, 3, 4, 2, 3, 1, 1, 3, 1, 3, 1, 1, 1, 0, 4, 3, 2, 1, 3, 3, 4, 0, 4, 1, 3, 0, 2, 3, 1, 2, 1, 4, 0, 3, 1, 4, 0, 1, 0, 2, 0, 3, 3, 4, 0, 0, 2, 2, 0, 3, 2, 1, 4, 3, 4, 1, 1, 4, 4, 3, 2, 1, 1, 4, 4, 0, 3, 3, 0, 4, 4, 4, 2, 0, 0, 0, 0, 4, 1, 3, 4, 3, 4, 3, 3, 1, 4, 0, 4, 0, 1, 0, 2, 3, 3, 4, 2, 0, 3, 0, 3, 1, 0, 0, 2, 0, 0, 1, 4, 1, 2, 4, 3, 0, 3, 1, 2, 1, 4, 3, 2, 0, 1, 0, 2, 1, 1, 3, 3, 1, 2, 1, 2, 1, 3, 1, 1, 3, 2, 3, 1, 3, 3, 1, 0, 4, 0, 1, 4, 2, 3, 1, 3, 1, 2, 2, 3, 1, 1, 3, 0, 4, 3, 3, 3, 1, 1, 2, 2, 0, 3, 0, 4, 0, 3, 4, 4, 3, 1, 4, 3, 0, 0, 4, 2, 3, 0, 2, 1, 0, 4, 3, 4, 1, 1, 3, 0, 1, 0, 4, 2, 2, 1, 4, 1, 3, 0, 3, 2, 0, 2] pubkeycol735 = [0, 2, 4, 2, 0, 2, 2, 4, 4, 3, 2, 2, 0, 1, 4, 0, 0, 2, 4, 1, 0, 4, 4, 3, 1, 0, 0, 1, 3, 2, 2, 1, 4, 0, 2, 0, 3, 1, 4, 1, 1, 2, 1, 3, 2, 2, 0, 2, 3, 2, 0, 3, 1, 2, 0, 1, 2, 1, 3, 1, 0, 3, 1, 4, 4, 3, 1, 2, 3, 1, 3, 1, 0, 3, 3, 1, 0, 4, 0, 1, 0, 2, 2, 4, 0, 1, 4, 2, 2, 3, 2, 2, 2, 0, 4, 0, 1, 2, 1, 1, 4, 0, 2, 2, 3, 3, 2, 1, 1, 3, 4, 1, 3, 0, 4, 1, 0, 4, 4, 4, 1, 4, 1, 0, 0, 2, 2, 3, 0, 1, 0, 4, 0, 0, 4, 3, 3, 2, 4, 3, 1, 3, 0, 1, 4, 3, 0, 1, 4, 2, 3, 2, 1, 4, 0, 4, 2, 2, 3, 3, 1, 0, 1, 1, 4, 0, 1, 4, 1, 1, 3, 3, 0, 3, 3, 2, 2, 1, 1, 3, 4, 4, 0, 0, 4, 0, 1, 4, 4, 2, 4, 0, 0, 0, 1, 0, 0, 3, 3, 2, 0, 2, 4, 2, 0, 4, 4, 4, 2, 3, 3, 3, 0, 3, 3, 2, 3, 2, 4, 0, 3, 4, 4, 4, 4, 2, 2, 3, 3, 2, 1, 1, 0, 2, 4, 1, 0, 2, 3, 0, 3, 3, 1, 1, 2, 3, 0, 1, 1, 2, 4, 0, 2, 0, 3, 3, 4, 0, 3, 3, 4, 1, 1, 4, 3, 2, 1, 0, 1, 4, 1, 0, 2, 3, 0, 3, 3, 4, 3, 0, 4, 2, 0, 2, 3, 0, 1, 0, 3, 4, 4, 4, 4, 0, 1, 4, 0, 3, 0, 2, 1, 2, 3, 1, 1, 4, 2, 3, 3, 0, 3, 2, 2, 4, 3, 0, 4, 0, 2, 1, 1, 2, 0, 0, 2, 3, 4, 1, 1, 2, 3, 0, 4, 3, 0, 0, 2, 4, 3, 0, 1, 0, 3, 1, 0, 0, 3, 2, 0, 1, 4, 0, 2, 0, 2, 0, 1, 0, 3, 4, 1, 0, 4, 0, 4, 2, 1, 2, 3, 2, 4, 0, 1, 2, 0, 3, 3, 2, 3, 2, 2, 0, 2, 4, 1, 4, 0, 1, 3, 2, 1, 0, 2, 3, 4, 1, 3, 0, 2, 2, 1, 0, 4, 2, 4, 4, 3, 3, 4, 3, 2, 3, 4, 1, 3, 3, 1, 1, 0, 4, 2, 4, 4, 4, 2, 2, 1, 2, 0, 1, 0, 3, 4, 2, 3, 1, 3, 3, 0, 3, 3, 3, 2, 1, 3, 1, 2, 1, 0, 1, 2, 2, 4, 1, 3, 0, 0, 1, 3, 3, 4, 0, 3, 2, 0, 1, 3, 0, 1, 4, 1, 0, 0, 1, 2, 1, 3, 3, 4, 3] pubkeycol736 = [4, 1, 1, 3, 3, 2, 3, 3, 2, 4, 0, 1, 2, 1, 0, 0, 4, 3, 1, 2, 1, 2, 2, 2, 2, 3, 0, 0, 0, 1, 1, 0, 4, 4, 0, 1, 4, 1, 1, 1, 0, 4, 0, 3, 2, 3, 0, 2, 1, 0, 4, 1, 4, 3, 4, 0, 1, 1, 3, 1, 4, 0, 1, 3, 1, 2, 2, 1, 3, 1, 2, 3, 2, 2, 2, 3, 1, 1, 3, 2, 1, 2, 2, 0, 3, 4, 0, 4, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 4, 3, 3, 3, 1, 1, 4, 3, 1, 3, 3, 0, 0, 3, 2, 1, 3, 1, 4, 4, 3, 2, 4, 4, 3, 4, 2, 4, 0, 2, 3, 4, 1, 3, 0, 4, 3, 2, 0, 1, 4, 1, 0, 4, 0, 3, 2, 0, 3, 1, 1, 1, 4, 0, 1, 1, 0, 1, 4, 4, 2, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 1, 0, 1, 1, 1, 2, 3, 0, 2, 3, 3, 2, 4, 1, 0, 1, 2, 0, 2, 0, 3, 0, 1, 4, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 4, 1, 4, 0, 4, 0, 3, 3, 3, 2, 4, 3, 1, 1, 3, 0, 3, 3, 4, 3, 1, 1, 4, 3, 1, 3, 0, 1, 0, 1, 3, 4, 4, 2, 0, 1, 1, 0, 3, 0, 2, 4, 0, 1, 1, 2, 1, 4, 3, 0, 4, 3, 4, 0, 0, 0, 1, 4, 0, 4, 3, 1, 3, 4, 4, 1, 2, 3, 2, 2, 3, 3, 2, 3, 2, 0, 3, 3, 2, 4, 2, 1, 3, 1, 0, 1, 2, 2, 3, 4, 4, 2, 0, 1, 1, 1, 4, 2, 1, 3, 1, 3, 4, 0, 4, 1, 3, 1, 0, 4, 0, 0, 0, 3, 4, 4, 3, 2, 3, 1, 3, 0, 2, 2, 2, 2, 4, 4, 2, 4, 4, 3, 3, 0, 1, 0, 3, 1, 1, 2, 0, 3, 1, 4, 3, 4, 2, 1, 4, 2, 2, 4, 4, 3, 1, 1, 0, 1, 2, 4, 1, 1, 3, 1, 4, 4, 1, 4, 1, 3, 3, 1, 3, 1, 0, 3, 2, 3, 1, 3, 1, 3, 3, 2, 1, 0, 3, 3, 2, 3, 3, 2, 3, 2, 2, 4, 4, 0, 1, 2, 2, 1, 2, 4, 4, 3, 0, 1, 0, 3, 1, 4, 3, 0, 4, 0, 3, 1, 3, 2, 3, 1, 0, 0, 1, 4, 4, 0, 2, 4, 4, 3, 4, 3, 1, 3, 0, 4, 2, 1, 0, 2, 0, 4, 1, 1, 1, 4, 1, 3, 3, 4, 1, 0, 1, 1, 4, 4, 3, 2, 2, 1, 0, 4, 0, 4, 4, 1, 3, 0, 4, 3, 4, 1, 0, 0] pubkeycol737 = [2, 1, 2, 4, 4, 2, 1, 3, 3, 2, 1, 2, 0, 3, 4, 4, 1, 0, 0, 1, 3, 0, 2, 0, 2, 4, 4, 0, 2, 3, 2, 4, 2, 0, 0, 2, 0, 2, 4, 3, 4, 0, 4, 4, 2, 1, 4, 3, 2, 2, 0, 1, 1, 0, 0, 2, 1, 3, 3, 0, 0, 3, 2, 2, 3, 3, 0, 0, 0, 4, 1, 3, 4, 3, 0, 1, 2, 0, 3, 4, 4, 3, 2, 0, 1, 0, 2, 3, 3, 3, 2, 1, 1, 2, 1, 1, 1, 3, 2, 3, 2, 1, 4, 2, 2, 1, 4, 2, 4, 2, 1, 1, 2, 2, 3, 3, 4, 4, 1, 0, 0, 3, 4, 3, 3, 3, 2, 4, 0, 4, 2, 3, 1, 2, 2, 3, 3, 3, 0, 0, 2, 1, 1, 2, 3, 1, 3, 3, 1, 2, 4, 4, 2, 3, 4, 4, 4, 4, 2, 4, 1, 0, 4, 2, 2, 4, 4, 1, 4, 2, 4, 0, 4, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 4, 2, 4, 3, 2, 3, 2, 4, 1, 1, 1, 3, 1, 3, 0, 2, 4, 3, 4, 4, 2, 1, 1, 0, 3, 3, 0, 2, 0, 4, 3, 4, 2, 4, 1, 1, 4, 0, 1, 1, 2, 0, 0, 4, 2, 0, 3, 3, 0, 4, 0, 3, 2, 0, 1, 3, 4, 0, 4, 0, 3, 2, 2, 4, 1, 1, 4, 0, 0, 1, 3, 1, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 0, 0, 4, 0, 0, 0, 4, 4, 1, 3, 1, 4, 0, 4, 0, 3, 1, 4, 2, 1, 2, 1, 3, 3, 3, 1, 1, 2, 4, 3, 3, 4, 0, 2, 0, 1, 3, 3, 1, 3, 3, 1, 3, 4, 0, 1, 3, 0, 3, 3, 3, 0, 0, 3, 1, 0, 4, 3, 0, 0, 3, 1, 0, 0, 1, 3, 0, 1, 3, 2, 3, 3, 1, 1, 4, 0, 1, 0, 0, 3, 2, 0, 0, 4, 4, 1, 3, 4, 3, 0, 1, 2, 2, 0, 1, 3, 0, 2, 2, 0, 1, 2, 3, 0, 0, 0, 0, 3, 4, 4, 1, 4, 1, 1, 4, 4, 1, 0, 1, 0, 2, 2, 2, 3, 1, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 1, 1, 1, 2, 1, 4, 2, 3, 0, 3, 4, 3, 0, 4, 0, 3, 1, 1, 2, 1, 0, 2, 3, 3, 1, 1, 3, 1, 3, 1, 2, 1, 0, 0, 3, 2, 0, 3, 0, 1, 2, 4, 0, 4, 0, 3, 3, 0, 2, 4, 4, 3, 0, 3, 3, 1, 1, 2, 2, 3, 4, 0, 0, 4, 2, 1, 4, 2, 2, 3, 3, 0] pubkeycol738 = [3, 3, 4, 4, 2, 1, 2, 0, 1, 2, 3, 2, 2, 2, 2, 0, 2, 2, 4, 1, 0, 3, 2, 2, 4, 4, 1, 1, 0, 2, 2, 2, 0, 3, 4, 1, 1, 1, 3, 3, 4, 3, 2, 0, 1, 3, 3, 4, 3, 4, 2, 0, 4, 0, 3, 2, 4, 2, 4, 4, 3, 1, 1, 2, 0, 3, 1, 1, 2, 2, 0, 2, 0, 4, 4, 4, 3, 2, 4, 0, 0, 1, 2, 3, 1, 4, 3, 4, 1, 0, 1, 3, 3, 1, 0, 3, 2, 0, 1, 1, 2, 4, 0, 4, 4, 0, 2, 0, 1, 3, 4, 0, 2, 4, 4, 2, 2, 4, 3, 3, 1, 0, 4, 4, 4, 1, 3, 3, 0, 3, 3, 2, 1, 0, 2, 0, 2, 4, 3, 2, 1, 1, 2, 0, 2, 3, 4, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 3, 3, 3, 4, 3, 4, 2, 2, 3, 4, 3, 1, 3, 4, 1, 2, 1, 3, 4, 0, 3, 2, 3, 0, 1, 4, 4, 3, 3, 2, 0, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 2, 1, 3, 2, 3, 3, 2, 0, 4, 2, 0, 0, 3, 3, 4, 4, 3, 2, 3, 0, 3, 2, 1, 1, 2, 0, 4, 0, 0, 1, 4, 2, 3, 4, 1, 2, 1, 0, 1, 0, 3, 2, 3, 4, 1, 2, 0, 3, 4, 0, 0, 4, 4, 3, 3, 1, 4, 1, 0, 3, 1, 2, 3, 0, 3, 3, 0, 3, 3, 4, 4, 0, 2, 3, 3, 4, 1, 2, 2, 0, 4, 2, 1, 3, 0, 1, 4, 3, 4, 4, 0, 4, 1, 4, 2, 3, 3, 4, 4, 0, 3, 1, 3, 3, 4, 3, 1, 2, 2, 2, 1, 3, 3, 0, 4, 3, 3, 1, 3, 1, 4, 4, 2, 3, 1, 2, 4, 0, 0, 0, 3, 4, 3, 3, 2, 0, 0, 3, 0, 1, 2, 2, 1, 1, 4, 3, 1, 3, 3, 1, 4, 3, 0, 2, 2, 1, 4, 1, 1, 2, 0, 2, 3, 2, 2, 1, 4, 0, 1, 1, 4, 4, 0, 2, 4, 1, 2, 2, 0, 2, 4, 0, 3, 3, 4, 0, 4, 3, 2, 3, 0, 0, 4, 4, 4, 3, 2, 2, 2, 1, 3, 3, 4, 2, 3, 1, 4, 0, 1, 2, 1, 3, 2, 0, 2, 4, 2, 0, 1, 3, 1, 4, 1, 2, 2, 1, 0, 2, 0, 2, 3, 4, 1, 0, 0, 3, 3, 3, 2, 4, 3, 1, 4, 0, 1, 2, 3, 2, 3, 3, 1, 4, 1, 0, 3, 3, 4, 3, 2, 2, 0, 1, 4, 2, 3, 4, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 4, 2, 4] pubkeycol739 = [4, 2, 3, 3, 4, 4, 0, 4, 0, 4, 4, 4, 1, 2, 3, 0, 1, 1, 3, 2, 4, 0, 4, 1, 4, 1, 0, 3, 3, 1, 3, 2, 2, 3, 0, 0, 0, 3, 4, 2, 0, 0, 1, 3, 3, 3, 0, 2, 0, 0, 4, 0, 1, 0, 0, 4, 2, 2, 2, 0, 4, 2, 0, 1, 4, 2, 3, 4, 1, 4, 2, 4, 3, 0, 0, 0, 0, 2, 1, 3, 3, 0, 1, 4, 0, 4, 3, 4, 1, 0, 0, 4, 2, 2, 1, 3, 4, 0, 0, 3, 3, 4, 3, 1, 0, 3, 1, 3, 3, 2, 2, 1, 4, 2, 0, 0, 0, 0, 3, 1, 4, 1, 0, 4, 0, 0, 2, 0, 0, 2, 3, 3, 1, 0, 2, 1, 4, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 4, 1, 3, 3, 4, 0, 3, 0, 3, 2, 3, 4, 4, 2, 2, 3, 0, 0, 3, 1, 1, 0, 0, 4, 4, 0, 0, 3, 3, 4, 1, 2, 1, 1, 2, 2, 3, 3, 2, 4, 1, 3, 4, 0, 4, 1, 1, 4, 2, 2, 2, 4, 2, 0, 1, 1, 3, 4, 3, 0, 2, 0, 0, 4, 2, 4, 4, 3, 4, 1, 1, 3, 3, 3, 4, 3, 4, 0, 1, 1, 4, 1, 2, 4, 4, 0, 3, 2, 0, 1, 2, 1, 4, 1, 0, 4, 4, 3, 2, 0, 4, 1, 1, 0, 0, 3, 0, 3, 2, 0, 1, 0, 3, 0, 3, 3, 3, 3, 4, 3, 0, 1, 3, 0, 0, 4, 4, 0, 0, 1, 1, 4, 2, 0, 0, 1, 2, 2, 3, 2, 4, 0, 3, 0, 0, 3, 3, 4, 1, 1, 2, 4, 0, 1, 4, 3, 1, 0, 1, 1, 3, 1, 2, 4, 2, 2, 0, 0, 0, 4, 1, 2, 2, 4, 2, 4, 0, 3, 3, 0, 4, 0, 4, 0, 1, 4, 4, 4, 4, 1, 1, 0, 4, 0, 0, 4, 0, 3, 2, 0, 2, 1, 4, 4, 4, 2, 3, 4, 2, 3, 0, 2, 2, 4, 4, 1, 4, 0, 2, 3, 0, 2, 1, 3, 1, 4, 0, 4, 3, 4, 3, 4, 0, 0, 2, 3, 4, 0, 3, 0, 2, 1, 0, 0, 0, 2, 3, 2, 1, 4, 3, 4, 2, 2, 4, 0, 1, 4, 1, 2, 2, 1, 1, 4, 1, 0, 4, 0, 1, 3, 0, 2, 3, 3, 0, 3, 3, 3, 4, 2, 1, 0, 2, 4, 1, 0, 4, 4, 0, 3, 1, 2, 2, 1, 4, 4, 2, 2, 0, 0, 4, 3, 2, 1, 0, 4, 0, 2, 3, 1, 1, 2, 0, 4, 1, 4, 3, 1, 1, 4, 3, 0, 2, 3, 0, 0, 1, 2, 4, 1, 4] pubkeycol740 = [1, 2, 0, 0, 2, 3, 2, 4, 0, 2, 2, 3, 1, 2, 1, 0, 0, 1, 1, 1, 3, 0, 3, 2, 3, 3, 0, 1, 4, 4, 4, 3, 4, 4, 1, 3, 1, 2, 3, 3, 3, 2, 1, 2, 1, 1, 0, 4, 1, 4, 1, 2, 1, 0, 3, 1, 1, 3, 1, 3, 3, 2, 3, 4, 1, 2, 0, 4, 4, 1, 1, 2, 3, 3, 3, 2, 0, 1, 0, 0, 3, 4, 3, 4, 1, 2, 2, 2, 1, 3, 1, 1, 3, 0, 3, 1, 3, 3, 0, 3, 3, 3, 3, 4, 3, 0, 1, 0, 4, 1, 3, 4, 1, 4, 3, 3, 1, 4, 4, 0, 1, 0, 4, 4, 2, 4, 0, 4, 4, 0, 1, 2, 4, 2, 0, 1, 2, 3, 4, 0, 2, 1, 2, 2, 4, 1, 1, 1, 1, 4, 1, 4, 3, 4, 1, 2, 3, 2, 0, 3, 1, 3, 2, 0, 0, 2, 2, 0, 2, 3, 3, 0, 3, 1, 3, 0, 0, 4, 3, 2, 0, 0, 1, 4, 3, 3, 3, 0, 1, 2, 0, 2, 4, 2, 2, 3, 3, 2, 0, 0, 0, 3, 3, 3, 2, 2, 3, 1, 0, 2, 0, 3, 3, 3, 1, 4, 0, 0, 0, 1, 2, 1, 3, 2, 3, 4, 0, 1, 3, 2, 1, 1, 3, 3, 0, 3, 3, 2, 3, 1, 3, 2, 2, 1, 1, 2, 3, 3, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 3, 3, 4, 1, 2, 3, 3, 0, 3, 4, 4, 1, 3, 1, 0, 1, 0, 2, 1, 0, 4, 4, 1, 2, 3, 1, 4, 2, 3, 0, 2, 0, 2, 0, 4, 2, 3, 2, 4, 2, 3, 2, 1, 2, 0, 3, 1, 3, 2, 3, 3, 1, 3, 2, 1, 4, 0, 0, 2, 1, 4, 1, 3, 0, 4, 4, 4, 0, 2, 0, 1, 4, 4, 2, 3, 4, 3, 1, 1, 3, 3, 0, 2, 0, 2, 4, 2, 4, 0, 3, 1, 3, 1, 2, 2, 3, 4, 3, 2, 4, 1, 2, 0, 1, 3, 0, 2, 4, 3, 0, 4, 0, 2, 2, 4, 0, 4, 2, 2, 3, 3, 2, 1, 2, 4, 0, 3, 2, 2, 3, 3, 1, 3, 1, 3, 2, 0, 0, 4, 4, 3, 3, 4, 3, 2, 2, 4, 2, 2, 3, 4, 0, 2, 0, 1, 2, 0, 2, 4, 4, 1, 0, 0, 1, 3, 0, 1, 0, 3, 1, 4, 0, 2, 0, 0, 4, 1, 2, 3, 3, 0, 3, 1, 2, 2, 0, 3, 4, 3, 2, 2, 3, 0, 0, 3, 1, 0, 2, 3, 1, 4, 1, 0, 2, 0, 2, 2, 3, 0, 3, 1, 1, 4, 2, 1, 2, 3, 2, 1, 4, 3, 3] pubkeycol741 = [4, 3, 4, 1, 4, 0, 2, 3, 1, 0, 3, 4, 3, 2, 0, 1, 1, 2, 2, 0, 4, 4, 3, 3, 4, 4, 1, 3, 4, 1, 1, 1, 3, 4, 3, 2, 2, 3, 0, 0, 3, 3, 1, 0, 4, 4, 4, 3, 4, 2, 0, 3, 4, 2, 2, 1, 2, 3, 2, 0, 1, 1, 4, 1, 1, 4, 0, 1, 0, 1, 1, 0, 4, 1, 2, 1, 0, 0, 0, 4, 1, 3, 4, 3, 0, 1, 4, 4, 1, 3, 0, 0, 1, 4, 2, 4, 4, 2, 4, 0, 1, 1, 2, 4, 0, 3, 0, 4, 4, 4, 0, 1, 4, 0, 3, 3, 3, 3, 3, 4, 3, 0, 1, 1, 3, 1, 0, 4, 0, 4, 1, 1, 3, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 1, 2, 1, 3, 4, 2, 1, 1, 1, 2, 0, 4, 3, 4, 2, 0, 0, 3, 0, 1, 3, 4, 4, 4, 3, 1, 1, 0, 4, 0, 2, 1, 4, 1, 0, 0, 4, 1, 1, 0, 3, 4, 3, 1, 1, 1, 4, 0, 1, 4, 2, 1, 1, 2, 4, 2, 0, 3, 4, 3, 4, 1, 1, 2, 4, 0, 0, 2, 2, 4, 0, 2, 4, 2, 2, 0, 1, 0, 1, 1, 3, 1, 1, 1, 1, 2, 0, 3, 3, 4, 3, 0, 2, 0, 0, 2, 1, 2, 3, 2, 1, 1, 4, 0, 2, 2, 4, 2, 0, 2, 4, 3, 4, 4, 0, 4, 2, 4, 1, 4, 0, 3, 3, 3, 1, 3, 4, 3, 0, 4, 3, 0, 3, 0, 3, 1, 0, 3, 0, 0, 1, 2, 0, 1, 4, 1, 4, 1, 0, 1, 0, 4, 1, 3, 1, 3, 4, 4, 0, 3, 4, 2, 2, 4, 0, 0, 0, 0, 3, 4, 1, 4, 0, 4, 4, 4, 1, 2, 4, 0, 1, 3, 0, 0, 4, 0, 2, 0, 4, 4, 2, 1, 2, 2, 1, 4, 0, 4, 3, 0, 1, 4, 3, 3, 4, 3, 1, 4, 0, 0, 0, 3, 3, 4, 4, 0, 1, 4, 1, 1, 2, 4, 1, 2, 1, 3, 4, 1, 2, 0, 4, 1, 1, 4, 3, 3, 2, 3, 4, 1, 4, 1, 0, 2, 0, 4, 0, 1, 1, 4, 2, 2, 3, 0, 1, 1, 4, 2, 3, 1, 0, 2, 1, 4, 4, 3, 1, 0, 4, 2, 2, 3, 3, 4, 2, 0, 1, 2, 2, 2, 4, 0, 4, 0, 2, 4, 1, 3, 2, 4, 1, 1, 2, 2, 4, 3, 3, 3, 0, 1, 0, 0, 1, 4, 4, 1, 0, 3, 3, 4, 4, 4, 4, 4, 1, 3, 3, 0, 0, 1, 0, 4, 1, 0, 0, 4, 0, 2, 4, 3, 3, 2, 4, 1, 4, 2] pubkeycol742 = [0, 0, 2, 0, 3, 4, 3, 2, 2, 2, 3, 4, 2, 4, 4, 2, 1, 1, 1, 1, 2, 0, 1, 1, 4, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 1, 1, 1, 3, 4, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 1, 4, 3, 4, 4, 2, 3, 3, 2, 0, 3, 1, 0, 0, 4, 2, 4, 3, 2, 1, 4, 2, 3, 4, 4, 4, 1, 3, 2, 3, 4, 3, 1, 4, 1, 3, 4, 3, 4, 0, 0, 1, 4, 1, 1, 1, 2, 3, 1, 0, 0, 0, 2, 1, 3, 0, 4, 1, 0, 4, 2, 1, 3, 1, 0, 3, 4, 4, 2, 4, 0, 0, 3, 0, 0, 1, 0, 4, 4, 0, 0, 1, 3, 3, 4, 1, 1, 0, 1, 0, 4, 2, 0, 4, 3, 3, 3, 3, 0, 4, 1, 1, 1, 4, 0, 1, 3, 0, 4, 2, 2, 0, 1, 4, 1, 1, 3, 0, 1, 4, 4, 4, 1, 3, 2, 0, 1, 2, 4, 2, 4, 4, 4, 2, 1, 3, 2, 4, 0, 2, 4, 3, 1, 1, 1, 1, 1, 0, 3, 1, 3, 3, 0, 3, 3, 3, 3, 2, 1, 1, 2, 3, 0, 1, 1, 3, 3, 3, 3, 0, 3, 0, 1, 4, 4, 2, 1, 3, 3, 4, 3, 0, 4, 3, 1, 2, 0, 2, 0, 3, 0, 1, 3, 1, 0, 3, 2, 1, 1, 2, 2, 2, 3, 3, 3, 4, 0, 3, 4, 1, 0, 4, 2, 3, 4, 3, 4, 0, 4, 4, 2, 0, 4, 1, 0, 1, 2, 4, 1, 1, 1, 3, 2, 2, 0, 1, 0, 4, 2, 0, 4, 3, 1, 2, 2, 3, 1, 2, 4, 2, 4, 1, 2, 1, 4, 4, 1, 1, 1, 2, 4, 1, 3, 4, 0, 0, 4, 3, 4, 0, 1, 3, 4, 0, 0, 1, 2, 4, 4, 1, 4, 4, 0, 0, 1, 0, 3, 4, 4, 4, 4, 4, 3, 0, 0, 2, 3, 2, 1, 1, 4, 2, 4, 4, 2, 3, 2, 2, 4, 4, 1, 1, 3, 1, 2, 4, 2, 2, 4, 0, 3, 1, 2, 2, 2, 1, 1, 3, 2, 2, 4, 2, 3, 0, 2, 4, 3, 1, 3, 2, 3, 1, 3, 2, 0, 1, 0, 4, 0, 1, 0, 0, 1, 2, 4, 1, 0, 0, 3, 3, 0, 2, 1, 4, 3, 4, 2, 3, 3, 1, 2, 0, 0, 4, 2, 3, 3, 1, 0, 3, 3, 2, 0, 4, 2, 4, 0, 1, 2, 4, 3, 2, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 0, 1, 4, 4, 1, 1, 3, 3, 4, 1, 4, 0, 4, 4, 0, 0, 0, 1, 1, 3, 3, 4, 0, 1, 3, 0, 3] pubkeycol743 = [0, 1, 3, 4, 0, 4, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 3, 0, 0, 4, 4, 3, 1, 0, 0, 1, 0, 1, 4, 0, 4, 2, 1, 1, 3, 1, 4, 0, 4, 3, 2, 2, 4, 0, 0, 4, 3, 4, 3, 4, 4, 0, 2, 4, 1, 1, 2, 3, 1, 0, 2, 0, 4, 3, 1, 0, 4, 2, 0, 1, 4, 3, 4, 0, 4, 0, 0, 0, 3, 3, 1, 4, 4, 2, 3, 2, 4, 2, 0, 1, 4, 1, 4, 1, 4, 4, 1, 1, 0, 1, 4, 0, 3, 0, 0, 3, 4, 3, 2, 4, 1, 0, 2, 2, 0, 2, 4, 1, 3, 2, 2, 4, 0, 1, 1, 1, 4, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 3, 4, 3, 4, 4, 2, 0, 1, 2, 0, 1, 3, 1, 0, 2, 3, 1, 4, 4, 2, 3, 3, 1, 0, 1, 3, 2, 0, 4, 4, 0, 2, 4, 2, 4, 3, 2, 0, 2, 0, 4, 1, 4, 4, 3, 2, 2, 4, 2, 3, 1, 1, 3, 4, 1, 0, 2, 2, 0, 0, 2, 2, 4, 0, 1, 3, 1, 1, 3, 0, 0, 1, 4, 2, 0, 0, 3, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 4, 3, 0, 3, 2, 4, 0, 0, 4, 0, 4, 0, 2, 1, 4, 4, 1, 4, 3, 4, 0, 1, 3, 1, 3, 4, 2, 2, 3, 1, 2, 0, 2, 2, 2, 0, 1, 0, 3, 1, 0, 1, 0, 2, 4, 2, 1, 2, 0, 4, 4, 3, 1, 3, 4, 3, 2, 2, 2, 0, 1, 1, 3, 1, 0, 3, 1, 4, 4, 4, 1, 4, 3, 0, 4, 4, 0, 4, 2, 3, 0, 4, 3, 3, 1, 1, 4, 1, 4, 0, 3, 0, 2, 1, 0, 3, 2, 0, 1, 1, 4, 3, 3, 1, 2, 0, 3, 3, 4, 2, 4, 3, 0, 2, 4, 0, 1, 0, 2, 2, 2, 4, 0, 0, 0, 2, 4, 1, 1, 3, 2, 4, 4, 2, 4, 0, 1, 1, 4, 3, 2, 2, 3, 0, 1, 4, 1, 0, 1, 2, 2, 3, 2, 3, 3, 4, 2, 2, 2, 0, 0, 4, 4, 0, 3, 2, 1, 2, 3, 0, 3, 1, 1, 3, 0, 2, 4, 4, 1, 0, 0, 4, 0, 4, 3, 4, 2, 0, 4, 4, 0, 3, 4, 1, 1, 3, 3, 1, 4, 0, 2, 4, 2, 0, 2, 4, 4, 3, 3, 3, 0, 4, 2, 4, 0, 4, 0, 1, 4, 1, 4, 4, 4, 2, 3, 2, 0, 2, 4, 3, 2, 1, 4, 0, 1, 4, 4, 2, 1, 4, 4, 0, 0, 3] pubkeycol744 = [1, 3, 3, 4, 1, 2, 1, 2, 0, 2, 2, 2, 1, 3, 4, 4, 0, 3, 3, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 4, 0, 3, 3, 4, 4, 2, 0, 2, 4, 3, 4, 4, 1, 2, 4, 1, 4, 3, 3, 1, 1, 2, 3, 4, 3, 2, 3, 4, 3, 0, 3, 3, 3, 4, 0, 3, 3, 4, 1, 0, 3, 0, 3, 0, 2, 1, 0, 2, 0, 1, 1, 1, 4, 0, 4, 1, 4, 4, 3, 0, 3, 3, 0, 4, 3, 2, 1, 3, 0, 4, 4, 3, 2, 0, 1, 4, 1, 4, 3, 4, 4, 0, 4, 4, 4, 1, 1, 2, 1, 0, 1, 0, 1, 4, 1, 3, 0, 4, 1, 0, 2, 1, 1, 3, 2, 4, 2, 4, 3, 2, 0, 1, 2, 0, 1, 3, 1, 3, 0, 3, 1, 2, 3, 0, 2, 4, 2, 3, 1, 1, 4, 4, 3, 1, 1, 4, 1, 0, 4, 4, 3, 2, 0, 1, 2, 1, 4, 0, 2, 4, 2, 2, 4, 0, 1, 1, 0, 1, 2, 4, 1, 0, 3, 3, 2, 2, 1, 2, 2, 0, 0, 4, 0, 4, 3, 4, 2, 1, 2, 2, 2, 3, 2, 2, 1, 0, 3, 4, 4, 1, 4, 0, 3, 4, 0, 3, 1, 1, 3, 3, 0, 0, 1, 3, 2, 1, 3, 0, 2, 0, 1, 0, 3, 4, 3, 2, 1, 3, 0, 4, 2, 1, 4, 1, 3, 0, 1, 3, 0, 4, 3, 0, 4, 4, 1, 2, 0, 0, 4, 1, 0, 4, 0, 2, 3, 1, 1, 4, 4, 4, 2, 4, 4, 0, 4, 4, 0, 3, 2, 4, 4, 3, 0, 4, 3, 2, 2, 2, 2, 2, 4, 1, 1, 4, 0, 2, 3, 2, 3, 1, 2, 1, 4, 1, 0, 3, 2, 0, 0, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 2, 4, 0, 4, 4, 3, 2, 0, 4, 4, 2, 4, 2, 3, 0, 3, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 4, 0, 4, 1, 3, 4, 1, 4, 1, 0, 1, 0, 0, 1, 0, 2, 2, 3, 4, 1, 3, 1, 2, 1, 3, 3, 1, 1, 0, 3, 3, 0, 3, 4, 3, 2, 1, 2, 0, 1, 1, 4, 0, 4, 4, 3, 2, 4, 0, 3, 0, 0, 2, 4, 3, 4, 1, 0, 0, 4, 0, 1, 1, 0, 1, 2, 4, 2, 2, 4, 0, 3, 3, 3, 4, 0, 0, 2, 3, 3, 1, 4, 2, 3, 0, 4, 1, 3, 0, 3, 1, 4, 4, 1, 2, 1, 1, 0, 0, 0, 1, 0, 4, 2, 3, 2, 1, 3, 0, 0, 1, 4, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 4, 2, 1] pubkeycol745 = [1, 0, 3, 0, 3, 1, 2, 0, 0, 0, 3, 1, 2, 4, 0, 3, 3, 4, 0, 3, 3, 3, 3, 4, 1, 4, 0, 2, 1, 3, 3, 1, 2, 0, 1, 1, 2, 1, 3, 4, 4, 0, 1, 1, 3, 1, 1, 3, 3, 4, 2, 2, 2, 4, 3, 3, 1, 0, 3, 2, 0, 3, 4, 3, 1, 0, 0, 0, 4, 2, 2, 4, 3, 2, 2, 0, 0, 2, 3, 3, 0, 1, 1, 0, 2, 1, 4, 3, 2, 3, 2, 4, 2, 0, 3, 4, 3, 0, 3, 4, 3, 0, 3, 0, 0, 1, 1, 0, 1, 4, 2, 4, 2, 2, 2, 0, 2, 4, 1, 1, 3, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 4, 1, 1, 1, 3, 3, 1, 2, 2, 3, 1, 0, 3, 3, 1, 0, 1, 3, 0, 1, 0, 4, 3, 4, 2, 4, 0, 4, 0, 3, 1, 4, 1, 0, 0, 4, 4, 1, 1, 3, 2, 0, 4, 4, 4, 0, 2, 2, 3, 1, 2, 1, 4, 0, 1, 4, 1, 3, 4, 1, 1, 3, 4, 4, 2, 4, 0, 4, 4, 0, 1, 0, 3, 2, 4, 0, 0, 2, 2, 1, 2, 2, 2, 2, 4, 3, 3, 1, 3, 3, 0, 2, 1, 2, 3, 1, 0, 3, 1, 4, 0, 2, 4, 3, 0, 1, 2, 4, 2, 4, 0, 1, 4, 1, 1, 2, 1, 1, 2, 3, 0, 0, 2, 3, 4, 0, 2, 3, 0, 2, 0, 3, 3, 1, 2, 3, 1, 1, 2, 3, 1, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 3, 3, 3, 0, 2, 0, 3, 0, 4, 1, 0, 0, 1, 0, 2, 3, 4, 2, 2, 3, 2, 1, 4, 0, 4, 4, 3, 1, 4, 3, 4, 0, 0, 4, 3, 1, 1, 2, 3, 1, 2, 2, 1, 4, 0, 0, 1, 4, 0, 1, 1, 3, 1, 1, 4, 2, 3, 2, 3, 1, 2, 4, 2, 3, 0, 3, 1, 3, 2, 0, 0, 4, 3, 0, 1, 1, 1, 1, 2, 2, 3, 1, 2, 4, 1, 1, 2, 0, 0, 3, 3, 0, 2, 2, 2, 4, 2, 0, 3, 2, 2, 4, 1, 0, 0, 3, 0, 0, 1, 2, 2, 0, 4, 0, 2, 4, 1, 1, 4, 0, 1, 2, 2, 2, 0, 0, 2, 0, 4, 2, 3, 0, 1, 2, 0, 1, 3, 1, 3, 4, 2, 2, 4, 4, 1, 2, 4, 2, 3, 2, 0, 0, 3, 4, 4, 2, 0, 1, 0, 3, 1, 4, 0, 1, 2, 1, 1, 0, 4, 3, 2, 0, 1, 4, 2, 3, 1, 3, 2, 1, 1, 1, 0, 4, 1, 3, 4, 1, 1, 0, 1, 1, 2, 3] pubkeycol746 = [0, 0, 0, 2, 3, 3, 2, 3, 4, 4, 3, 2, 1, 3, 4, 1, 1, 1, 2, 3, 3, 4, 2, 3, 0, 4, 0, 2, 4, 1, 1, 2, 3, 3, 4, 0, 1, 0, 3, 3, 2, 2, 3, 4, 0, 3, 1, 4, 2, 3, 1, 3, 4, 2, 4, 4, 1, 0, 0, 3, 2, 2, 0, 1, 2, 1, 4, 2, 2, 4, 4, 0, 4, 0, 4, 0, 4, 1, 0, 2, 3, 2, 1, 2, 0, 4, 0, 0, 2, 3, 4, 4, 4, 4, 1, 4, 4, 3, 4, 2, 1, 0, 4, 2, 1, 1, 1, 0, 3, 2, 2, 4, 0, 0, 3, 1, 3, 0, 3, 0, 2, 0, 0, 2, 0, 3, 4, 0, 3, 2, 0, 1, 2, 1, 0, 0, 3, 3, 3, 4, 4, 0, 2, 1, 4, 4, 2, 1, 3, 4, 0, 4, 1, 1, 1, 0, 3, 1, 2, 2, 0, 2, 4, 2, 1, 4, 1, 1, 0, 3, 0, 1, 0, 1, 2, 2, 3, 0, 2, 3, 2, 0, 3, 1, 3, 2, 1, 2, 2, 3, 2, 1, 3, 1, 3, 0, 3, 4, 1, 0, 1, 1, 1, 3, 4, 3, 2, 3, 3, 2, 0, 2, 3, 4, 1, 1, 0, 4, 0, 3, 4, 1, 2, 0, 4, 2, 4, 0, 4, 4, 3, 0, 4, 1, 1, 2, 3, 0, 1, 2, 1, 1, 3, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 3, 1, 1, 1, 4, 4, 2, 0, 2, 1, 4, 2, 3, 2, 0, 1, 2, 4, 3, 2, 1, 2, 3, 4, 3, 1, 1, 2, 2, 1, 3, 0, 0, 1, 4, 1, 3, 3, 2, 2, 2, 1, 4, 2, 4, 4, 4, 1, 4, 2, 4, 3, 2, 4, 0, 4, 4, 2, 2, 1, 0, 4, 1, 3, 1, 0, 1, 4, 4, 3, 2, 0, 2, 4, 3, 2, 0, 0, 4, 4, 1, 4, 0, 4, 1, 3, 1, 0, 4, 0, 1, 2, 1, 1, 4, 1, 0, 3, 0, 2, 4, 4, 3, 2, 2, 0, 3, 4, 3, 3, 1, 4, 3, 0, 3, 4, 0, 1, 1, 2, 2, 3, 2, 4, 2, 0, 0, 4, 1, 3, 1, 1, 0, 0, 4, 4, 2, 1, 2, 3, 1, 4, 0, 0, 3, 4, 2, 3, 1, 2, 4, 4, 1, 2, 1, 0, 3, 1, 0, 2, 1, 1, 4, 3, 2, 3, 3, 1, 0, 3, 0, 0, 4, 4, 2, 1, 3, 3, 1, 2, 2, 1, 3, 0, 2, 4, 2, 2, 3, 3, 4, 1, 3, 4, 0, 3, 2, 2, 4, 1, 1, 0, 3, 3, 4, 1, 3, 3, 1, 1, 1, 2, 4, 0, 4, 2, 0, 3, 3, 0, 0, 2, 0, 1, 1, 4] pubkeycol747 = [0, 3, 0, 3, 2, 4, 3, 1, 2, 1, 2, 3, 2, 0, 4, 0, 3, 4, 4, 2, 4, 0, 1, 4, 4, 1, 4, 1, 2, 1, 0, 0, 3, 2, 1, 2, 3, 4, 0, 3, 2, 1, 2, 0, 3, 2, 0, 1, 1, 2, 1, 2, 3, 3, 4, 2, 3, 4, 4, 4, 3, 3, 0, 3, 1, 3, 1, 3, 3, 0, 1, 2, 3, 1, 2, 1, 1, 3, 4, 1, 4, 0, 1, 3, 3, 4, 1, 4, 4, 4, 4, 1, 2, 4, 2, 4, 4, 2, 3, 3, 0, 1, 1, 2, 2, 4, 2, 3, 3, 0, 3, 3, 0, 2, 1, 0, 4, 1, 0, 3, 0, 1, 0, 0, 1, 3, 1, 1, 2, 3, 0, 1, 4, 0, 4, 4, 3, 4, 3, 1, 2, 1, 2, 2, 4, 3, 1, 2, 1, 3, 1, 4, 0, 2, 2, 1, 3, 0, 2, 0, 0, 2, 1, 4, 3, 0, 2, 0, 4, 3, 2, 0, 0, 2, 1, 3, 1, 4, 4, 0, 4, 2, 3, 3, 2, 4, 1, 3, 1, 4, 0, 1, 1, 3, 4, 4, 2, 0, 4, 1, 2, 3, 3, 3, 4, 2, 1, 3, 3, 3, 0, 4, 4, 4, 0, 4, 4, 1, 1, 0, 3, 0, 2, 0, 1, 4, 2, 3, 3, 4, 3, 1, 3, 0, 3, 0, 2, 0, 1, 4, 3, 2, 1, 3, 0, 0, 1, 2, 0, 2, 0, 4, 4, 1, 3, 3, 4, 3, 2, 1, 3, 0, 1, 3, 3, 0, 3, 2, 1, 1, 1, 2, 4, 0, 1, 3, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 4, 0, 4, 0, 1, 3, 1, 3, 3, 3, 3, 0, 3, 3, 2, 3, 3, 4, 0, 4, 1, 3, 2, 2, 2, 2, 1, 4, 2, 4, 0, 3, 3, 1, 2, 0, 3, 2, 2, 1, 0, 3, 2, 2, 4, 0, 2, 3, 3, 1, 3, 1, 2, 2, 3, 0, 2, 4, 4, 3, 2, 1, 0, 4, 0, 1, 3, 0, 1, 0, 3, 0, 0, 1, 2, 3, 0, 0, 4, 2, 0, 1, 0, 2, 2, 0, 3, 4, 3, 0, 1, 4, 4, 2, 1, 1, 1, 4, 4, 0, 4, 2, 4, 4, 3, 0, 3, 2, 2, 2, 2, 3, 0, 2, 2, 3, 0, 2, 4, 3, 2, 3, 3, 0, 2, 0, 2, 2, 1, 4, 1, 2, 3, 0, 0, 0, 3, 1, 3, 0, 0, 3, 0, 1, 3, 0, 4, 1, 4, 0, 4, 3, 2, 3, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 4, 1, 1, 4, 0, 2, 2, 0, 2, 4, 2, 3, 3, 2, 0, 2, 2, 2, 4, 2, 2, 4, 0] pubkeycol748 = [4, 0, 0, 3, 2, 3, 1, 2, 3, 3, 4, 4, 4, 3, 2, 3, 1, 3, 0, 3, 2, 1, 1, 1, 4, 2, 0, 3, 3, 1, 1, 4, 3, 1, 0, 3, 4, 0, 2, 4, 1, 0, 0, 2, 0, 1, 2, 4, 0, 2, 0, 0, 3, 1, 1, 2, 2, 3, 1, 0, 1, 4, 2, 0, 2, 0, 1, 2, 3, 3, 3, 1, 3, 0, 2, 1, 4, 4, 1, 0, 3, 3, 2, 1, 0, 2, 0, 2, 1, 1, 3, 3, 0, 4, 0, 0, 0, 2, 1, 0, 4, 4, 0, 4, 0, 2, 3, 1, 3, 1, 4, 1, 4, 3, 0, 2, 4, 1, 1, 0, 1, 3, 1, 1, 2, 3, 1, 3, 4, 4, 3, 4, 0, 2, 1, 3, 4, 2, 4, 2, 1, 3, 3, 3, 1, 2, 2, 3, 2, 0, 1, 1, 1, 2, 3, 2, 1, 2, 2, 2, 4, 1, 1, 3, 0, 0, 1, 0, 0, 4, 2, 0, 4, 2, 1, 2, 4, 2, 3, 3, 4, 4, 2, 0, 0, 0, 3, 2, 2, 3, 4, 0, 0, 1, 0, 3, 4, 3, 3, 0, 3, 0, 2, 1, 0, 2, 0, 2, 4, 1, 3, 3, 2, 1, 2, 4, 2, 2, 2, 4, 1, 1, 2, 1, 0, 3, 0, 1, 1, 4, 2, 2, 3, 4, 3, 3, 1, 4, 1, 3, 4, 3, 0, 2, 3, 0, 1, 3, 3, 3, 3, 4, 0, 0, 3, 0, 4, 1, 1, 0, 1, 4, 3, 1, 3, 2, 0, 2, 1, 3, 0, 4, 2, 1, 2, 0, 2, 1, 3, 2, 4, 0, 2, 4, 3, 4, 0, 4, 2, 1, 4, 4, 0, 4, 3, 4, 2, 3, 4, 4, 4, 3, 0, 0, 4, 4, 0, 2, 3, 0, 2, 3, 4, 3, 0, 3, 2, 2, 2, 3, 3, 1, 3, 1, 3, 0, 2, 3, 0, 0, 1, 2, 3, 0, 0, 4, 0, 0, 3, 1, 1, 1, 3, 0, 0, 3, 4, 2, 1, 2, 0, 0, 0, 4, 2, 4, 4, 3, 4, 1, 3, 1, 3, 4, 2, 1, 2, 4, 0, 1, 1, 2, 3, 0, 4, 3, 0, 2, 2, 4, 2, 4, 2, 3, 0, 1, 1, 2, 2, 2, 4, 3, 3, 4, 3, 1, 1, 0, 0, 4, 0, 1, 1, 1, 2, 3, 0, 1, 0, 1, 1, 4, 4, 0, 2, 3, 3, 4, 4, 1, 4, 2, 4, 1, 3, 1, 2, 1, 3, 1, 1, 3, 0, 1, 4, 0, 0, 1, 2, 1, 4, 3, 2, 3, 0, 4, 2, 3, 2, 4, 2, 3, 2, 3, 0, 0, 0, 1, 2, 2, 2, 4, 0, 0, 4, 0, 1, 4, 0, 4, 4, 2, 2, 3, 1, 3, 3, 1, 3, 1] pubkeycol749 = [3, 4, 3, 1, 0, 4, 2, 1, 4, 4, 2, 1, 1, 4, 2, 4, 0, 3, 3, 1, 2, 4, 2, 4, 4, 4, 3, 1, 0, 2, 4, 2, 3, 2, 2, 1, 4, 0, 2, 0, 0, 3, 3, 1, 0, 4, 1, 1, 0, 0, 0, 3, 4, 4, 3, 4, 4, 0, 3, 3, 2, 4, 3, 0, 0, 0, 1, 4, 1, 0, 4, 0, 2, 4, 0, 3, 0, 3, 0, 4, 3, 4, 2, 3, 4, 4, 2, 0, 1, 1, 4, 3, 1, 1, 2, 0, 4, 0, 4, 1, 3, 2, 0, 4, 4, 3, 0, 0, 3, 3, 3, 1, 2, 3, 0, 3, 0, 0, 3, 4, 0, 1, 2, 1, 3, 3, 3, 4, 3, 4, 0, 4, 4, 3, 4, 3, 0, 0, 2, 0, 0, 2, 3, 0, 1, 4, 0, 2, 3, 3, 4, 3, 3, 3, 4, 4, 3, 1, 3, 0, 3, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 4, 4, 2, 4, 1, 1, 2, 3, 4, 3, 0, 1, 4, 1, 2, 3, 4, 1, 3, 4, 0, 4, 3, 4, 2, 0, 2, 3, 2, 2, 0, 1, 1, 0, 4, 0, 2, 2, 2, 0, 4, 2, 2, 4, 4, 3, 1, 0, 2, 4, 1, 1, 1, 1, 3, 2, 2, 3, 2, 3, 1, 0, 0, 3, 4, 2, 1, 2, 2, 4, 2, 4, 0, 4, 0, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 0, 3, 0, 3, 1, 1, 4, 0, 3, 4, 0, 3, 4, 0, 2, 4, 3, 4, 0, 4, 0, 3, 0, 4, 2, 4, 2, 2, 3, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 4, 2, 2, 3, 0, 3, 3, 0, 3, 1, 2, 0, 4, 0, 3, 3, 0, 3, 4, 3, 3, 0, 2, 4, 0, 1, 1, 0, 4, 1, 1, 0, 0, 2, 3, 1, 2, 1, 3, 3, 3, 3, 1, 1, 2, 0, 0, 1, 1, 3, 1, 0, 1, 3, 3, 3, 3, 0, 3, 4, 4, 0, 2, 0, 4, 1, 3, 2, 3, 4, 1, 0, 2, 3, 3, 0, 0, 0, 3, 4, 0, 0, 0, 4, 3, 4, 2, 0, 0, 0, 0, 2, 2, 1, 4, 2, 4, 1, 0, 0, 4, 4, 4, 0, 3, 1, 2, 4, 2, 1, 1, 4, 3, 2, 2, 0, 4, 2, 3, 3, 3, 1, 3, 2, 3, 1, 0, 3, 4, 4, 0, 1, 2, 1, 3, 2, 0, 4, 3, 2, 2, 2, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 1, 0, 1, 1, 0, 2, 3, 2, 2, 3, 2, 3, 1, 2, 0, 2, 3, 1, 0, 0, 3, 3, 4, 1, 3, 4, 2, 0, 4, 3, 1, 1] pubkeycol750 = [4, 3, 1, 4, 1, 2, 2, 2, 0, 2, 0, 1, 3, 3, 4, 3, 4, 2, 4, 3, 2, 3, 2, 3, 4, 3, 4, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 4, 4, 3, 1, 0, 4, 4, 2, 1, 0, 2, 3, 0, 4, 1, 2, 2, 2, 2, 3, 0, 0, 1, 4, 0, 1, 4, 4, 1, 1, 1, 4, 2, 4, 0, 0, 0, 0, 3, 1, 3, 3, 3, 4, 1, 2, 2, 2, 4, 2, 1, 1, 4, 2, 2, 2, 4, 2, 1, 1, 4, 2, 4, 2, 2, 2, 4, 2, 1, 3, 2, 0, 3, 1, 0, 3, 0, 0, 4, 1, 3, 3, 3, 3, 4, 1, 1, 2, 4, 2, 0, 4, 2, 1, 0, 3, 4, 4, 1, 2, 2, 0, 1, 1, 3, 1, 2, 1, 4, 3, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 3, 3, 0, 1, 3, 0, 1, 2, 2, 1, 2, 2, 0, 3, 1, 0, 3, 1, 2, 3, 3, 1, 4, 2, 1, 2, 2, 4, 3, 0, 1, 2, 0, 2, 0, 4, 3, 4, 1, 3, 4, 3, 0, 2, 1, 3, 3, 4, 0, 4, 0, 0, 0, 3, 0, 1, 4, 2, 1, 2, 0, 3, 1, 2, 2, 2, 4, 1, 1, 2, 1, 4, 2, 3, 0, 1, 4, 4, 1, 4, 0, 2, 2, 2, 3, 2, 3, 0, 1, 4, 3, 4, 0, 3, 4, 4, 3, 3, 2, 3, 4, 4, 0, 1, 0, 2, 1, 0, 2, 0, 1, 4, 2, 2, 3, 2, 0, 3, 3, 3, 3, 4, 4, 4, 1, 1, 2, 3, 3, 2, 3, 3, 3, 0, 3, 1, 4, 3, 4, 1, 4, 3, 3, 3, 3, 1, 0, 1, 1, 1, 0, 3, 4, 3, 2, 2, 1, 0, 1, 0, 1, 1, 3, 3, 4, 4, 2, 0, 2, 3, 4, 1, 3, 0, 4, 1, 4, 3, 0, 2, 3, 0, 0, 2, 1, 2, 3, 0, 4, 4, 4, 1, 4, 3, 4, 1, 1, 2, 3, 1, 1, 3, 4, 0, 2, 4, 1, 2, 1, 0, 3, 0, 3, 2, 1, 4, 3, 1, 1, 1, 1, 0, 3, 4, 3, 3, 0, 1, 4, 1, 0, 4, 2, 0, 1, 2, 0, 4, 2, 1, 1, 1, 3, 2, 2, 2, 3, 0, 3, 1, 2, 1, 3, 4, 2, 0, 2, 0, 1, 2, 2, 4, 1, 3, 3, 2, 4, 1, 1, 2, 1, 0, 0, 2, 4, 1, 3, 4, 1, 0, 4, 2, 1, 2, 1, 3, 1, 0, 0, 0, 0, 3, 3, 4, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 4, 0, 4, 3, 0, 1, 2, 3, 3, 0, 1, 0, 3, 2, 3] pubkeycol751 = [1, 1, 2, 0, 2, 4, 0, 3, 0, 4, 1, 3, 4, 4, 0, 2, 0, 3, 2, 3, 4, 3, 0, 1, 4, 0, 1, 1, 2, 0, 3, 1, 2, 2, 0, 0, 0, 1, 4, 4, 2, 4, 0, 0, 2, 1, 3, 1, 4, 0, 2, 2, 0, 1, 4, 1, 1, 0, 3, 3, 2, 3, 0, 4, 4, 4, 0, 4, 1, 0, 4, 2, 3, 2, 2, 1, 0, 1, 2, 0, 3, 4, 1, 3, 1, 1, 2, 4, 3, 1, 3, 1, 4, 2, 1, 2, 0, 1, 4, 4, 3, 3, 1, 1, 2, 0, 3, 1, 3, 2, 3, 3, 2, 4, 3, 2, 3, 0, 3, 1, 1, 4, 3, 4, 3, 4, 4, 3, 2, 2, 1, 2, 4, 2, 4, 4, 1, 1, 1, 2, 3, 4, 0, 0, 0, 2, 0, 2, 1, 3, 2, 4, 4, 0, 4, 0, 4, 4, 0, 1, 1, 2, 1, 4, 0, 4, 0, 1, 0, 1, 2, 4, 4, 2, 0, 4, 2, 4, 4, 4, 0, 1, 0, 0, 1, 0, 1, 1, 3, 2, 4, 4, 4, 2, 4, 1, 0, 0, 3, 2, 4, 3, 0, 3, 4, 3, 3, 1, 4, 2, 3, 1, 4, 3, 3, 3, 0, 3, 1, 4, 4, 2, 3, 2, 1, 1, 0, 1, 4, 2, 2, 2, 0, 0, 0, 3, 1, 1, 1, 3, 2, 4, 2, 4, 4, 4, 3, 3, 1, 2, 3, 1, 4, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 4, 1, 2, 2, 2, 4, 3, 4, 3, 1, 4, 2, 2, 0, 3, 0, 1, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2, 0, 4, 2, 3, 0, 1, 0, 3, 4, 2, 4, 1, 2, 1, 2, 0, 1, 2, 0, 0, 3, 0, 0, 1, 1, 3, 4, 3, 3, 3, 0, 1, 3, 0, 2, 1, 4, 0, 3, 3, 3, 1, 2, 4, 0, 2, 1, 2, 0, 3, 2, 1, 3, 3, 3, 0, 4, 0, 0, 1, 1, 3, 3, 2, 2, 2, 0, 4, 3, 3, 4, 4, 0, 4, 1, 4, 0, 0, 3, 3, 4, 2, 3, 0, 4, 2, 3, 4, 4, 0, 2, 0, 3, 2, 1, 2, 2, 4, 1, 0, 0, 2, 4, 2, 4, 3, 4, 0, 3, 3, 1, 2, 0, 4, 1, 0, 4, 4, 0, 3, 0, 4, 1, 3, 1, 2, 0, 4, 2, 2, 1, 1, 3, 1, 0, 3, 4, 0, 2, 4, 4, 3, 3, 3, 0, 0, 1, 1, 4, 2, 4, 0, 2, 2, 4, 3, 0, 2, 4, 0, 4, 1, 3, 0, 2, 1, 4, 3, 2, 1, 4, 3, 4, 2, 3, 3, 4, 1, 0, 4, 4, 3, 2, 4, 3, 3, 0, 3, 0, 1] pubkeycol752 = [1, 0, 4, 3, 2, 1, 4, 1, 3, 3, 3, 4, 1, 0, 0, 3, 1, 2, 2, 1, 4, 2, 2, 0, 2, 0, 3, 2, 1, 1, 0, 2, 2, 4, 0, 0, 4, 0, 3, 1, 3, 4, 2, 1, 4, 3, 3, 2, 1, 0, 3, 4, 3, 2, 3, 2, 4, 1, 0, 4, 4, 4, 0, 4, 2, 0, 3, 1, 3, 0, 1, 1, 1, 4, 0, 0, 3, 4, 0, 1, 4, 2, 2, 2, 3, 4, 0, 3, 4, 1, 3, 3, 2, 1, 3, 1, 4, 1, 1, 1, 0, 3, 4, 4, 2, 4, 3, 3, 0, 0, 0, 4, 0, 2, 3, 0, 0, 3, 1, 2, 4, 3, 4, 2, 4, 0, 4, 3, 2, 3, 3, 0, 0, 0, 2, 2, 3, 3, 2, 4, 3, 1, 3, 1, 2, 3, 1, 1, 0, 3, 0, 2, 0, 2, 3, 2, 0, 2, 2, 1, 1, 2, 2, 4, 0, 4, 4, 3, 4, 4, 3, 4, 2, 1, 2, 0, 3, 3, 2, 1, 0, 0, 4, 0, 4, 0, 2, 4, 2, 0, 3, 4, 2, 4, 3, 3, 0, 0, 2, 3, 3, 0, 4, 4, 4, 4, 4, 2, 0, 0, 2, 2, 0, 3, 2, 2, 1, 2, 0, 2, 0, 3, 1, 1, 0, 4, 2, 3, 2, 3, 3, 4, 3, 4, 1, 4, 4, 3, 4, 1, 3, 1, 0, 2, 4, 2, 2, 0, 1, 0, 2, 2, 1, 3, 4, 4, 0, 4, 1, 1, 0, 4, 0, 3, 3, 3, 2, 4, 3, 1, 3, 1, 3, 4, 3, 4, 3, 2, 2, 2, 3, 4, 1, 4, 4, 1, 0, 3, 1, 2, 1, 3, 2, 1, 2, 4, 0, 4, 3, 2, 4, 2, 2, 2, 0, 0, 3, 2, 1, 4, 0, 3, 0, 1, 1, 1, 4, 3, 1, 2, 4, 2, 0, 2, 3, 2, 0, 1, 3, 4, 3, 2, 3, 4, 4, 2, 4, 4, 1, 1, 0, 4, 0, 2, 1, 0, 4, 1, 2, 2, 1, 0, 4, 3, 3, 2, 4, 2, 4, 1, 2, 1, 3, 1, 2, 0, 3, 4, 3, 4, 1, 2, 2, 0, 0, 3, 4, 2, 0, 4, 2, 1, 0, 2, 0, 1, 4, 3, 3, 1, 3, 2, 1, 2, 3, 0, 1, 0, 0, 0, 1, 1, 3, 0, 0, 4, 3, 3, 2, 0, 2, 2, 0, 0, 0, 1, 2, 4, 4, 4, 3, 3, 2, 4, 4, 1, 0, 0, 0, 4, 4, 0, 3, 2, 2, 4, 2, 0, 1, 2, 3, 1, 0, 1, 4, 0, 1, 3, 0, 4, 4, 2, 0, 4, 4, 2, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 1, 2, 0, 1, 3, 4, 1, 3, 3, 1, 3, 1, 0, 4] pubkeycol753 = [4, 4, 1, 4, 0, 3, 1, 0, 2, 1, 1, 4, 2, 2, 4, 0, 4, 2, 4, 0, 3, 4, 0, 1, 4, 1, 1, 0, 2, 1, 1, 1, 3, 2, 4, 3, 0, 3, 0, 1, 0, 0, 3, 3, 1, 2, 4, 3, 3, 4, 4, 2, 3, 1, 2, 3, 2, 1, 3, 2, 4, 4, 0, 3, 2, 3, 3, 1, 3, 1, 2, 2, 3, 1, 3, 3, 4, 4, 0, 1, 4, 0, 1, 1, 0, 1, 3, 3, 4, 1, 2, 3, 0, 1, 1, 1, 3, 4, 0, 3, 2, 3, 4, 4, 0, 2, 4, 0, 2, 4, 3, 1, 3, 1, 1, 3, 0, 0, 1, 0, 0, 4, 1, 4, 2, 4, 1, 1, 4, 4, 3, 3, 0, 0, 0, 0, 2, 3, 2, 0, 0, 2, 2, 4, 2, 2, 3, 4, 4, 0, 1, 2, 3, 4, 1, 4, 2, 3, 1, 0, 0, 4, 3, 2, 2, 1, 0, 0, 0, 4, 4, 1, 4, 2, 3, 1, 2, 3, 1, 2, 0, 2, 0, 2, 2, 3, 4, 1, 2, 4, 1, 4, 1, 3, 0, 2, 1, 4, 4, 4, 0, 2, 0, 0, 0, 2, 3, 1, 3, 3, 4, 4, 4, 3, 2, 1, 1, 1, 3, 0, 3, 3, 3, 2, 4, 1, 3, 4, 2, 1, 3, 3, 4, 0, 1, 2, 0, 1, 4, 3, 3, 1, 2, 0, 0, 1, 4, 4, 0, 0, 3, 4, 4, 2, 0, 0, 1, 1, 2, 3, 4, 2, 1, 0, 2, 1, 1, 0, 0, 2, 3, 4, 3, 4, 2, 0, 2, 3, 0, 4, 0, 0, 0, 2, 3, 0, 3, 2, 3, 2, 3, 0, 0, 1, 1, 3, 1, 3, 4, 4, 3, 4, 4, 3, 1, 4, 1, 1, 2, 2, 4, 1, 0, 4, 3, 3, 0, 2, 2, 3, 3, 4, 4, 1, 1, 0, 3, 4, 2, 0, 2, 1, 0, 4, 2, 2, 4, 3, 2, 2, 1, 4, 3, 2, 3, 1, 1, 4, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 0, 4, 2, 3, 3, 1, 3, 0, 0, 4, 3, 2, 4, 0, 0, 0, 1, 4, 2, 0, 0, 2, 3, 3, 2, 1, 4, 3, 2, 0, 2, 4, 1, 4, 0, 1, 4, 4, 0, 4, 3, 0, 0, 1, 2, 3, 3, 1, 0, 0, 3, 4, 3, 4, 4, 1, 2, 2, 3, 0, 3, 1, 0, 0, 3, 2, 4, 0, 0, 1, 0, 0, 0, 3, 1, 3, 1, 0, 4, 2, 1, 4, 2, 1, 3, 0, 4, 0, 0, 4, 2, 4, 0, 2, 0, 1, 2, 2, 0, 0, 1, 3, 0, 2, 3, 0, 3, 4, 3, 2, 2, 2, 3, 3, 3, 2, 2, 4, 0, 4, 4, 3] pubkeycol754 = [2, 4, 4, 2, 0, 3, 2, 4, 3, 4, 0, 0, 0, 4, 2, 1, 4, 2, 4, 0, 3, 0, 3, 1, 4, 4, 0, 4, 0, 0, 3, 1, 3, 0, 0, 2, 4, 4, 2, 2, 0, 4, 2, 0, 3, 2, 2, 1, 1, 0, 4, 0, 0, 3, 2, 1, 1, 4, 1, 0, 2, 4, 3, 0, 0, 3, 4, 4, 0, 1, 3, 3, 3, 0, 1, 4, 3, 2, 3, 1, 0, 4, 4, 0, 3, 4, 3, 0, 4, 4, 0, 0, 0, 1, 2, 1, 2, 0, 3, 2, 4, 1, 3, 3, 2, 1, 2, 3, 0, 3, 2, 4, 1, 4, 0, 4, 4, 3, 1, 0, 3, 2, 3, 3, 0, 0, 0, 3, 1, 1, 1, 4, 0, 2, 3, 2, 2, 2, 2, 4, 3, 4, 4, 1, 0, 0, 4, 1, 2, 0, 0, 4, 4, 2, 4, 3, 4, 0, 3, 4, 1, 2, 2, 4, 3, 2, 2, 3, 0, 4, 1, 3, 2, 3, 1, 2, 3, 4, 4, 0, 3, 2, 4, 2, 0, 1, 2, 4, 3, 1, 2, 4, 3, 0, 2, 4, 3, 2, 0, 4, 0, 2, 1, 1, 4, 4, 0, 0, 0, 3, 4, 2, 0, 1, 1, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 2, 1, 4, 2, 0, 3, 3, 1, 0, 1, 0, 0, 2, 4, 0, 0, 1, 3, 4, 1, 3, 2, 4, 0, 0, 3, 3, 4, 3, 3, 0, 2, 2, 3, 2, 3, 2, 0, 1, 1, 2, 2, 1, 3, 2, 0, 0, 1, 3, 4, 0, 1, 0, 0, 0, 3, 0, 4, 0, 0, 4, 0, 1, 4, 1, 4, 0, 4, 1, 4, 4, 2, 3, 2, 1, 3, 4, 4, 1, 1, 4, 0, 3, 4, 3, 3, 0, 2, 4, 0, 1, 1, 4, 4, 3, 2, 0, 1, 1, 3, 4, 2, 3, 3, 0, 0, 2, 2, 0, 1, 4, 2, 3, 0, 2, 4, 1, 4, 3, 3, 0, 0, 3, 2, 3, 3, 0, 1, 1, 2, 3, 4, 0, 0, 3, 0, 1, 1, 2, 2, 4, 0, 1, 3, 4, 4, 4, 4, 3, 1, 0, 0, 1, 0, 2, 0, 1, 4, 4, 3, 0, 0, 0, 2, 3, 1, 4, 0, 4, 2, 1, 4, 3, 3, 0, 4, 0, 4, 3, 3, 2, 0, 1, 0, 1, 0, 1, 0, 1, 4, 0, 4, 0, 1, 4, 1, 2, 2, 2, 2, 1, 2, 3, 0, 1, 4, 1, 3, 1, 4, 2, 4, 4, 3, 1, 1, 1, 2, 1, 4, 2, 2, 4, 1, 3, 4, 0, 1, 2, 1, 4, 1, 1, 0, 4, 3, 1, 0, 4, 1, 4, 0, 4, 2, 1, 0, 4, 4, 0, 2, 0, 1, 4, 0, 3] pubkeycol755 = [1, 3, 3, 0, 4, 1, 3, 3, 1, 3, 4, 3, 1, 1, 3, 4, 4, 2, 3, 1, 3, 4, 2, 4, 4, 4, 3, 2, 3, 4, 2, 0, 3, 1, 4, 4, 0, 4, 4, 3, 4, 1, 1, 0, 4, 3, 3, 1, 2, 1, 2, 4, 0, 1, 3, 2, 1, 4, 4, 2, 0, 1, 1, 1, 1, 1, 2, 0, 4, 3, 0, 1, 0, 2, 2, 3, 4, 2, 2, 1, 2, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 2, 1, 3, 2, 3, 0, 2, 0, 3, 2, 3, 1, 1, 2, 3, 2, 4, 4, 4, 2, 3, 4, 0, 1, 0, 2, 1, 4, 1, 1, 2, 1, 1, 4, 0, 2, 0, 1, 0, 1, 3, 4, 3, 2, 4, 4, 1, 4, 1, 4, 0, 2, 4, 3, 4, 0, 4, 3, 1, 3, 2, 1, 1, 3, 4, 0, 0, 3, 2, 0, 1, 0, 0, 1, 1, 3, 4, 3, 2, 2, 4, 1, 3, 0, 3, 4, 4, 2, 3, 4, 2, 3, 4, 1, 1, 3, 1, 0, 3, 3, 2, 4, 3, 3, 0, 2, 2, 3, 4, 3, 2, 3, 0, 3, 1, 1, 4, 1, 3, 4, 4, 2, 0, 1, 0, 1, 4, 1, 3, 3, 4, 3, 2, 4, 0, 0, 3, 3, 3, 1, 4, 4, 0, 0, 3, 1, 3, 1, 1, 2, 2, 1, 0, 1, 0, 2, 4, 2, 2, 0, 2, 2, 4, 3, 4, 1, 0, 3, 0, 3, 2, 2, 1, 2, 3, 4, 3, 0, 0, 4, 3, 1, 3, 4, 3, 4, 2, 3, 4, 0, 4, 3, 0, 2, 4, 3, 3, 1, 3, 3, 4, 4, 2, 1, 1, 2, 4, 3, 3, 2, 2, 1, 1, 0, 4, 2, 2, 0, 3, 3, 4, 4, 2, 4, 1, 0, 0, 2, 3, 0, 0, 2, 2, 2, 4, 1, 1, 1, 3, 1, 2, 4, 4, 1, 0, 0, 0, 3, 1, 0, 4, 4, 4, 0, 4, 4, 3, 2, 0, 0, 4, 3, 4, 4, 0, 2, 2, 4, 3, 1, 3, 2, 0, 1, 1, 0, 3, 3, 2, 1, 1, 3, 3, 1, 1, 1, 1, 2, 2, 4, 1, 1, 0, 3, 2, 3, 4, 2, 4, 1, 2, 1, 1, 3, 1, 0, 1, 2, 1, 4, 4, 2, 0, 2, 3, 0, 4, 1, 0, 2, 0, 1, 2, 0, 4, 0, 4, 4, 4, 1, 3, 4, 2, 1, 4, 3, 2, 4, 1, 3, 0, 4, 2, 2, 0, 1, 1, 4, 0, 1, 3, 1, 2, 4, 1, 4, 3, 3, 0, 1, 3, 1, 3, 3, 2, 2, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 0, 3, 1, 3, 1, 0, 1, 0, 3] pubkeycol756 = [3, 2, 3, 0, 3, 2, 3, 0, 1, 4, 2, 4, 4, 0, 0, 3, 4, 3, 4, 1, 1, 3, 2, 2, 2, 1, 0, 2, 3, 0, 4, 4, 4, 1, 0, 0, 3, 2, 0, 2, 0, 2, 0, 0, 2, 0, 4, 1, 3, 4, 3, 3, 3, 2, 0, 3, 0, 2, 1, 0, 3, 3, 2, 1, 3, 2, 2, 2, 4, 0, 3, 4, 0, 4, 2, 1, 0, 2, 2, 4, 1, 3, 2, 1, 4, 4, 4, 2, 3, 3, 1, 1, 2, 2, 1, 3, 0, 0, 2, 4, 2, 1, 0, 3, 3, 0, 1, 2, 1, 2, 4, 1, 0, 3, 2, 3, 4, 1, 0, 4, 0, 2, 1, 0, 1, 3, 2, 3, 3, 3, 1, 0, 3, 3, 3, 4, 0, 3, 3, 0, 3, 0, 2, 2, 0, 2, 2, 1, 2, 0, 3, 3, 4, 3, 1, 3, 3, 1, 3, 0, 4, 1, 0, 1, 0, 4, 2, 2, 1, 4, 1, 3, 2, 1, 4, 1, 2, 0, 3, 1, 1, 4, 2, 3, 4, 3, 3, 4, 2, 3, 4, 4, 2, 4, 4, 0, 4, 4, 4, 3, 0, 2, 1, 2, 2, 3, 4, 2, 3, 0, 1, 1, 1, 1, 2, 0, 0, 4, 2, 3, 0, 1, 1, 1, 0, 2, 1, 3, 0, 1, 4, 4, 0, 4, 4, 1, 3, 1, 4, 4, 1, 0, 2, 2, 3, 3, 2, 0, 0, 3, 4, 2, 3, 4, 4, 2, 0, 1, 0, 1, 1, 4, 1, 0, 2, 0, 3, 4, 0, 2, 3, 4, 0, 2, 2, 3, 2, 1, 2, 0, 0, 4, 0, 2, 1, 3, 0, 1, 4, 0, 0, 3, 4, 1, 3, 2, 3, 3, 4, 2, 1, 4, 0, 3, 4, 1, 4, 0, 2, 2, 0, 2, 0, 3, 1, 0, 4, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 0, 3, 4, 3, 4, 4, 1, 3, 3, 0, 1, 0, 2, 4, 4, 2, 0, 1, 0, 4, 1, 0, 0, 4, 3, 1, 0, 4, 1, 3, 2, 0, 3, 1, 4, 1, 4, 0, 3, 3, 4, 4, 4, 2, 4, 4, 2, 1, 1, 0, 2, 0, 3, 1, 3, 4, 4, 2, 0, 1, 2, 4, 0, 3, 4, 4, 4, 3, 2, 4, 1, 4, 4, 4, 3, 2, 1, 2, 0, 0, 1, 4, 2, 1, 0, 4, 4, 1, 1, 3, 4, 4, 4, 1, 3, 4, 0, 0, 0, 2, 3, 2, 3, 2, 3, 3, 0, 3, 0, 4, 0, 3, 3, 0, 2, 4, 1, 1, 0, 2, 3, 2, 1, 3, 3, 1, 4, 3, 1, 1, 4, 3, 4, 4, 4, 0, 4, 2, 0, 1, 2, 2, 3] pubkeycol757 = [0, 2, 3, 4, 2, 1, 4, 4, 3, 0, 0, 0, 2, 0, 2, 1, 4, 4, 3, 4, 4, 2, 1, 4, 0, 1, 2, 2, 1, 1, 4, 3, 2, 1, 4, 2, 3, 3, 2, 2, 4, 0, 2, 3, 3, 3, 0, 4, 3, 4, 3, 2, 2, 1, 1, 4, 0, 2, 3, 3, 2, 1, 0, 2, 2, 2, 3, 0, 1, 3, 2, 2, 2, 2, 4, 3, 1, 3, 1, 4, 3, 4, 3, 2, 1, 1, 1, 0, 3, 0, 0, 4, 1, 3, 0, 3, 3, 1, 3, 1, 0, 3, 4, 1, 0, 0, 4, 4, 2, 3, 1, 0, 2, 4, 2, 2, 3, 2, 3, 2, 4, 0, 1, 0, 2, 2, 4, 3, 2, 0, 3, 0, 2, 0, 2, 2, 2, 0, 4, 3, 3, 1, 1, 4, 1, 0, 1, 3, 3, 3, 0, 0, 1, 4, 3, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 3, 2, 2, 1, 2, 1, 3, 2, 2, 3, 1, 2, 3, 2, 1, 1, 2, 4, 2, 1, 3, 3, 4, 1, 2, 0, 0, 0, 1, 3, 4, 2, 3, 4, 4, 2, 1, 1, 3, 3, 1, 0, 1, 4, 1, 1, 4, 2, 4, 3, 3, 2, 0, 3, 3, 1, 0, 4, 0, 3, 2, 0, 1, 3, 0, 1, 0, 4, 2, 2, 3, 4, 0, 1, 0, 3, 1, 1, 4, 2, 4, 0, 2, 3, 3, 3, 1, 4, 4, 2, 2, 2, 2, 2, 2, 3, 4, 3, 4, 1, 1, 0, 1, 1, 2, 1, 2, 4, 0, 0, 0, 2, 3, 0, 4, 0, 2, 1, 4, 0, 2, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 4, 2, 4, 0, 1, 1, 3, 3, 3, 3, 4, 2, 4, 4, 2, 2, 3, 3, 4, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 3, 1, 3, 4, 1, 1, 4, 1, 0, 2, 4, 2, 2, 1, 0, 3, 3, 3, 1, 2, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 3, 0, 2, 0, 2, 2, 2, 4, 2, 1, 2, 0, 4, 3, 4, 2, 1, 3, 3, 1, 0, 1, 2, 1, 0, 3, 3, 3, 3, 0, 1, 1, 3, 4, 4, 2, 4, 4, 4, 2, 3, 0, 4, 1, 3, 0, 3, 0, 1, 4, 3, 2, 3, 4, 1, 3, 0, 3, 0, 4, 0, 3, 1, 1, 1, 1, 2, 3, 0, 0, 1, 4, 3, 3, 1, 1, 1, 3, 1, 2, 3, 4, 0, 4, 1, 4, 2, 3, 3, 0, 2, 1, 1, 2, 3, 0, 2, 0, 4, 2, 1, 1, 3, 1, 3, 3, 0, 3, 2, 4, 2, 1, 0, 2, 2, 3, 2, 1, 0] pubkeycol758 = [0, 1, 4, 2, 0, 0, 0, 3, 4, 0, 3, 4, 3, 0, 2, 1, 2, 3, 1, 3, 1, 2, 2, 3, 0, 0, 4, 4, 4, 1, 1, 3, 2, 1, 0, 3, 1, 1, 0, 2, 2, 1, 3, 1, 0, 3, 2, 4, 2, 4, 2, 3, 4, 1, 3, 4, 0, 4, 4, 4, 1, 3, 0, 2, 4, 3, 2, 4, 4, 4, 1, 2, 2, 1, 3, 2, 0, 3, 1, 2, 3, 3, 0, 1, 2, 3, 3, 1, 1, 4, 3, 3, 3, 4, 2, 2, 4, 2, 4, 0, 2, 2, 3, 2, 4, 2, 1, 2, 0, 1, 4, 3, 4, 4, 1, 2, 1, 4, 4, 0, 2, 4, 3, 4, 3, 1, 4, 4, 2, 4, 3, 4, 2, 1, 3, 0, 2, 0, 4, 2, 1, 1, 4, 3, 1, 1, 1, 3, 1, 4, 2, 2, 1, 4, 3, 3, 3, 2, 3, 4, 1, 1, 0, 1, 3, 2, 1, 1, 0, 0, 0, 1, 3, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 0, 0, 1, 2, 4, 4, 3, 4, 1, 2, 2, 3, 2, 1, 1, 0, 4, 0, 3, 3, 2, 2, 4, 1, 4, 1, 0, 3, 3, 4, 4, 2, 1, 1, 0, 4, 4, 4, 1, 3, 2, 0, 3, 2, 4, 4, 2, 3, 2, 3, 1, 0, 4, 3, 2, 3, 2, 1, 1, 3, 3, 0, 1, 4, 3, 2, 3, 3, 3, 1, 0, 4, 4, 0, 1, 2, 2, 2, 3, 1, 3, 0, 1, 2, 1, 3, 2, 0, 0, 4, 4, 0, 0, 3, 3, 1, 1, 0, 4, 0, 2, 4, 4, 0, 2, 4, 2, 0, 4, 4, 1, 4, 2, 0, 3, 3, 1, 3, 4, 2, 2, 3, 4, 3, 4, 3, 2, 1, 3, 3, 0, 2, 2, 0, 4, 2, 1, 1, 4, 4, 1, 2, 3, 1, 4, 0, 1, 1, 1, 4, 0, 3, 2, 4, 3, 0, 4, 0, 4, 2, 4, 1, 2, 2, 2, 0, 2, 1, 3, 2, 4, 2, 1, 4, 4, 2, 1, 0, 0, 1, 3, 0, 0, 2, 4, 3, 4, 4, 0, 1, 3, 2, 0, 3, 2, 0, 0, 0, 0, 2, 4, 4, 1, 4, 2, 2, 2, 3, 3, 4, 2, 0, 4, 4, 0, 1, 3, 3, 4, 2, 2, 0, 0, 4, 1, 0, 3, 0, 3, 1, 2, 4, 1, 0, 2, 3, 4, 1, 2, 1, 4, 3, 2, 1, 1, 3, 3, 2, 0, 0, 1, 1, 1, 1, 0, 4, 4, 4, 0, 3, 3, 1, 3, 3, 0, 2, 2, 4, 3, 2, 3, 1, 1, 4, 1, 2, 0, 0, 3, 2, 4, 1, 3, 1, 3, 4, 3, 3, 4, 1, 4, 2, 1, 3, 4] pubkeycol759 = [0, 0, 1, 0, 2, 4, 2, 1, 1, 1, 4, 4, 1, 2, 3, 1, 1, 3, 3, 0, 3, 3, 2, 1, 3, 1, 4, 1, 1, 3, 3, 2, 4, 3, 0, 4, 0, 0, 2, 3, 2, 2, 0, 3, 4, 4, 3, 3, 0, 1, 2, 0, 0, 0, 4, 3, 1, 4, 1, 1, 0, 0, 2, 3, 1, 0, 0, 1, 1, 0, 0, 1, 1, 4, 1, 0, 3, 3, 1, 3, 0, 3, 3, 0, 1, 1, 1, 2, 2, 4, 4, 1, 3, 0, 2, 1, 3, 2, 1, 2, 3, 1, 2, 3, 2, 0, 3, 3, 4, 4, 0, 1, 0, 3, 3, 1, 1, 3, 0, 2, 2, 4, 3, 2, 4, 0, 4, 3, 3, 2, 3, 1, 0, 4, 4, 0, 2, 3, 0, 4, 4, 2, 2, 0, 3, 2, 4, 2, 2, 4, 0, 3, 1, 0, 1, 1, 1, 4, 1, 3, 2, 3, 3, 3, 2, 2, 1, 0, 3, 4, 0, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 2, 2, 3, 2, 3, 3, 1, 0, 4, 0, 2, 1, 2, 1, 3, 4, 1, 1, 0, 4, 4, 1, 1, 4, 2, 2, 2, 0, 4, 3, 0, 1, 0, 1, 1, 0, 3, 4, 4, 2, 2, 1, 3, 0, 2, 2, 3, 3, 0, 4, 1, 3, 4, 3, 1, 1, 2, 3, 0, 4, 0, 0, 2, 0, 4, 0, 3, 4, 1, 0, 4, 4, 1, 2, 2, 3, 1, 2, 0, 4, 3, 1, 1, 4, 2, 4, 2, 0, 4, 3, 3, 2, 0, 4, 4, 2, 3, 1, 1, 1, 0, 1, 1, 4, 1, 4, 0, 1, 1, 4, 4, 4, 1, 3, 3, 4, 3, 1, 4, 3, 1, 4, 2, 1, 3, 0, 4, 2, 2, 0, 1, 1, 0, 0, 4, 4, 0, 3, 3, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 3, 4, 2, 0, 2, 2, 2, 3, 3, 3, 1, 2, 0, 4, 2, 0, 4, 4, 3, 1, 0, 0, 2, 2, 2, 2, 4, 3, 1, 2, 2, 1, 4, 1, 0, 0, 0, 2, 4, 2, 2, 1, 4, 1, 4, 3, 1, 0, 3, 4, 4, 2, 3, 3, 1, 0, 0, 3, 0, 2, 0, 0, 2, 1, 0, 0, 1, 3, 3, 4, 1, 2, 1, 0, 0, 2, 4, 1, 1, 4, 0, 0, 1, 4, 4, 3, 4, 4, 0, 2, 1, 1, 0, 0, 2, 3, 2, 2, 4, 3, 1, 3, 3, 3, 4, 4, 2, 4, 3, 1, 1, 1, 2, 2, 0, 3, 2, 0, 1, 0, 3, 2, 1, 3, 1, 4, 4, 3, 3, 1, 0, 0, 4, 2, 4, 4, 4, 4, 2, 2, 3, 2, 3, 3, 4, 2, 4, 0] pubkeycol760 = [2, 2, 0, 0, 0, 2, 0, 4, 1, 4, 0, 3, 2, 4, 2, 4, 1, 0, 1, 4, 2, 3, 3, 4, 2, 4, 2, 4, 3, 0, 4, 3, 4, 1, 3, 4, 2, 1, 3, 4, 4, 4, 4, 3, 3, 4, 2, 2, 4, 2, 1, 1, 0, 0, 2, 4, 4, 2, 1, 1, 0, 0, 4, 1, 0, 1, 2, 3, 1, 4, 0, 2, 0, 0, 3, 2, 4, 4, 4, 3, 0, 3, 3, 3, 4, 2, 4, 4, 4, 3, 4, 4, 2, 3, 1, 3, 1, 1, 3, 3, 1, 1, 2, 2, 4, 3, 4, 0, 2, 3, 3, 1, 4, 3, 3, 2, 0, 1, 4, 0, 2, 1, 0, 2, 2, 4, 1, 3, 3, 2, 0, 3, 0, 0, 0, 3, 2, 0, 2, 1, 3, 2, 3, 3, 3, 1, 0, 0, 2, 0, 1, 4, 4, 1, 0, 3, 4, 4, 1, 1, 2, 1, 0, 0, 3, 0, 2, 3, 4, 2, 4, 1, 4, 3, 3, 2, 3, 4, 0, 2, 4, 2, 1, 3, 2, 4, 2, 3, 4, 0, 4, 3, 1, 2, 3, 4, 3, 4, 1, 1, 3, 0, 4, 1, 2, 2, 3, 4, 4, 4, 2, 1, 3, 2, 4, 0, 0, 4, 3, 0, 2, 0, 1, 1, 1, 4, 0, 2, 3, 3, 1, 4, 0, 1, 4, 4, 4, 3, 4, 4, 2, 4, 0, 4, 4, 0, 2, 2, 4, 4, 4, 2, 3, 1, 3, 2, 3, 1, 4, 4, 0, 2, 2, 0, 4, 1, 1, 4, 3, 2, 1, 0, 3, 3, 0, 0, 3, 2, 2, 3, 0, 2, 2, 4, 1, 1, 0, 4, 1, 3, 1, 4, 4, 0, 3, 4, 0, 1, 1, 2, 2, 2, 1, 3, 1, 2, 4, 0, 3, 2, 2, 4, 2, 2, 2, 0, 1, 3, 1, 4, 2, 4, 0, 3, 0, 4, 3, 0, 4, 3, 1, 4, 0, 2, 3, 0, 4, 1, 4, 4, 4, 0, 2, 0, 1, 4, 2, 1, 4, 0, 3, 4, 2, 3, 4, 0, 2, 4, 3, 0, 0, 1, 1, 3, 2, 0, 1, 3, 1, 2, 4, 0, 4, 1, 1, 3, 2, 1, 3, 4, 2, 3, 4, 1, 3, 1, 3, 3, 3, 4, 4, 3, 4, 2, 0, 1, 2, 0, 3, 2, 4, 4, 3, 2, 4, 3, 2, 0, 0, 0, 1, 0, 2, 0, 3, 2, 3, 1, 2, 1, 4, 4, 4, 2, 2, 0, 3, 3, 1, 4, 0, 4, 2, 2, 3, 4, 0, 1, 0, 0, 2, 3, 4, 4, 0, 3, 3, 4, 2, 4, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 0, 4, 1, 0, 0, 3, 0, 2, 2, 4, 3, 4, 1, 1, 2, 4, 3, 2, 1, 2] pubkeycol761 = [3, 2, 4, 3, 2, 2, 4, 0, 1, 1, 1, 0, 2, 4, 3, 1, 3, 1, 3, 2, 0, 4, 2, 1, 4, 0, 0, 4, 3, 0, 0, 3, 0, 4, 0, 1, 3, 1, 0, 3, 4, 3, 1, 4, 3, 3, 1, 3, 2, 4, 0, 4, 2, 3, 2, 1, 2, 4, 1, 4, 0, 1, 1, 4, 2, 2, 3, 4, 2, 2, 3, 2, 2, 3, 4, 1, 0, 3, 4, 3, 2, 2, 4, 1, 4, 2, 2, 0, 3, 0, 2, 3, 0, 1, 4, 0, 4, 4, 3, 0, 3, 0, 0, 2, 1, 4, 1, 1, 1, 1, 0, 1, 2, 3, 1, 4, 3, 0, 0, 0, 4, 4, 2, 3, 0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 1, 3, 4, 1, 0, 1, 0, 0, 2, 0, 1, 4, 3, 0, 3, 4, 0, 4, 4, 4, 2, 0, 0, 4, 4, 3, 3, 0, 0, 1, 4, 4, 1, 0, 3, 2, 2, 3, 0, 0, 0, 2, 3, 1, 2, 1, 3, 0, 1, 0, 4, 4, 4, 0, 0, 3, 0, 4, 4, 3, 3, 1, 4, 0, 4, 3, 2, 4, 2, 0, 3, 1, 4, 3, 3, 1, 1, 0, 2, 3, 2, 3, 1, 3, 2, 0, 1, 2, 1, 1, 2, 4, 4, 3, 0, 2, 2, 1, 4, 1, 2, 4, 2, 0, 0, 0, 2, 0, 4, 1, 4, 3, 3, 2, 4, 3, 0, 3, 3, 4, 1, 4, 1, 3, 3, 0, 0, 0, 0, 0, 1, 4, 1, 3, 3, 1, 3, 2, 4, 3, 4, 2, 3, 0, 2, 0, 4, 0, 1, 0, 1, 0, 2, 4, 4, 2, 2, 0, 0, 3, 1, 4, 4, 3, 1, 2, 0, 2, 2, 3, 2, 2, 2, 1, 3, 2, 3, 3, 0, 1, 4, 3, 2, 1, 4, 4, 3, 3, 4, 4, 2, 1, 4, 2, 4, 2, 4, 1, 1, 1, 4, 2, 2, 3, 2, 1, 2, 3, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 1, 0, 3, 1, 3, 1, 1, 1, 2, 3, 2, 3, 4, 3, 0, 4, 4, 1, 3, 4, 0, 2, 2, 2, 4, 0, 0, 1, 3, 4, 0, 0, 3, 2, 3, 0, 3, 4, 1, 3, 3, 2, 2, 2, 4, 1, 0, 2, 2, 3, 0, 1, 1, 1, 4, 0, 1, 1, 0, 0, 3, 3, 2, 1, 3, 4, 4, 2, 2, 4, 4, 0, 3, 3, 1, 4, 3, 0, 0, 2, 1, 3, 0, 2, 1, 1, 4, 1, 3, 2, 1, 0, 0, 1, 1, 2, 4, 4, 3, 4, 4, 1, 4, 1, 3, 1, 0, 4, 1, 4, 0, 0, 1, 1, 2, 4, 4, 2, 2, 4, 2, 3, 4, 3, 1, 3, 4, 0] pubkeycol762 = [3, 3, 2, 2, 1, 2, 1, 2, 4, 4, 4, 3, 1, 1, 4, 0, 4, 1, 3, 4, 0, 4, 4, 2, 1, 4, 1, 1, 3, 0, 0, 1, 2, 3, 2, 4, 2, 1, 1, 0, 2, 4, 4, 0, 2, 2, 0, 1, 3, 1, 0, 2, 0, 0, 4, 3, 1, 0, 2, 4, 1, 3, 2, 4, 1, 0, 0, 0, 3, 0, 0, 0, 2, 3, 2, 0, 0, 3, 1, 4, 3, 0, 2, 0, 4, 1, 1, 4, 0, 4, 0, 2, 2, 4, 2, 0, 2, 4, 4, 0, 1, 2, 4, 1, 2, 3, 4, 2, 4, 2, 4, 4, 4, 4, 4, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 4, 0, 2, 2, 2, 4, 2, 4, 3, 4, 3, 3, 4, 4, 2, 0, 3, 4, 0, 0, 0, 4, 3, 1, 3, 4, 2, 0, 3, 3, 4, 4, 1, 4, 2, 2, 3, 0, 4, 4, 2, 4, 2, 1, 1, 0, 1, 4, 3, 4, 3, 3, 4, 1, 3, 4, 3, 1, 3, 2, 0, 1, 3, 3, 4, 2, 2, 3, 0, 2, 1, 1, 0, 3, 3, 0, 2, 2, 0, 0, 4, 0, 2, 3, 1, 3, 2, 2, 2, 2, 2, 1, 4, 2, 3, 0, 2, 3, 1, 4, 4, 3, 4, 4, 3, 4, 3, 2, 0, 3, 4, 2, 4, 1, 3, 4, 3, 0, 2, 2, 0, 0, 1, 0, 0, 2, 4, 3, 0, 4, 0, 4, 0, 3, 4, 2, 0, 3, 0, 3, 4, 3, 3, 4, 0, 1, 3, 2, 4, 4, 1, 3, 1, 4, 3, 4, 2, 4, 2, 0, 4, 4, 0, 4, 2, 2, 2, 3, 4, 4, 0, 4, 0, 2, 3, 3, 2, 0, 3, 4, 0, 4, 2, 3, 4, 1, 3, 0, 0, 0, 0, 2, 0, 2, 2, 3, 1, 0, 4, 0, 0, 1, 0, 2, 3, 3, 1, 0, 0, 2, 1, 3, 4, 4, 1, 2, 0, 1, 0, 0, 3, 1, 4, 1, 0, 3, 4, 0, 1, 0, 3, 4, 2, 3, 3, 0, 3, 4, 2, 1, 0, 3, 4, 1, 4, 2, 3, 2, 2, 3, 2, 0, 0, 4, 0, 0, 3, 4, 2, 0, 1, 4, 4, 2, 4, 0, 4, 3, 0, 2, 3, 3, 3, 0, 4, 1, 4, 3, 3, 3, 4, 1, 3, 3, 1, 3, 3, 2, 3, 1, 1, 4, 2, 0, 3, 4, 2, 1, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 4, 1, 0, 2, 2, 0, 2, 0, 3, 0, 3, 3, 2, 1, 1, 1, 4, 0, 2, 3, 3, 4, 4, 1, 0, 0, 3, 3, 1, 2, 1, 0, 1, 1, 4, 4, 1, 2, 2, 1, 4, 3, 4, 0] pubkeycol763 = [4, 4, 1, 2, 4, 4, 0, 4, 4, 1, 3, 0, 3, 2, 2, 4, 2, 3, 1, 0, 0, 1, 0, 2, 1, 4, 4, 4, 3, 1, 3, 1, 4, 4, 4, 0, 4, 0, 3, 2, 3, 4, 3, 3, 0, 3, 0, 1, 1, 1, 1, 4, 2, 4, 4, 1, 0, 2, 3, 4, 3, 0, 0, 1, 1, 0, 4, 0, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 4, 4, 0, 1, 4, 1, 1, 2, 1, 2, 4, 1, 3, 3, 0, 3, 2, 1, 3, 3, 3, 1, 0, 0, 0, 1, 2, 3, 2, 2, 2, 4, 1, 0, 0, 0, 1, 4, 4, 0, 3, 2, 1, 1, 4, 2, 3, 3, 2, 4, 0, 3, 2, 0, 4, 4, 0, 1, 3, 2, 1, 2, 4, 1, 0, 4, 4, 1, 4, 4, 2, 2, 2, 3, 4, 2, 0, 1, 2, 0, 3, 4, 4, 1, 3, 4, 4, 2, 0, 2, 3, 2, 0, 1, 1, 0, 1, 0, 4, 4, 4, 4, 4, 2, 1, 3, 4, 3, 0, 0, 3, 1, 3, 2, 1, 4, 1, 0, 1, 2, 1, 3, 0, 1, 1, 2, 4, 2, 4, 4, 0, 3, 1, 3, 1, 1, 2, 4, 3, 3, 0, 0, 1, 0, 4, 4, 0, 0, 2, 2, 3, 2, 0, 4, 2, 4, 0, 3, 2, 2, 3, 1, 2, 4, 3, 2, 1, 3, 4, 1, 3, 0, 2, 3, 3, 3, 2, 3, 0, 3, 1, 1, 0, 0, 0, 0, 2, 2, 3, 1, 1, 1, 0, 1, 1, 1, 4, 1, 0, 0, 2, 3, 1, 1, 4, 4, 0, 3, 0, 4, 2, 1, 0, 2, 2, 2, 3, 1, 0, 1, 1, 3, 3, 1, 3, 0, 3, 4, 3, 3, 3, 1, 2, 4, 3, 0, 3, 0, 4, 2, 4, 4, 4, 4, 1, 2, 3, 0, 4, 4, 4, 3, 1, 4, 3, 4, 0, 1, 0, 0, 3, 0, 2, 1, 0, 3, 3, 4, 4, 0, 0, 3, 2, 0, 4, 0, 3, 4, 4, 2, 1, 4, 2, 4, 0, 0, 1, 0, 2, 0, 3, 2, 2, 2, 2, 1, 2, 2, 4, 0, 1, 3, 1, 1, 2, 4, 1, 3, 2, 1, 2, 0, 0, 1, 4, 4, 0, 1, 3, 1, 2, 2, 2, 4, 3, 1, 2, 4, 4, 1, 3, 1, 1, 1, 0, 3, 0, 2, 4, 1, 2, 2, 2, 3, 4, 0, 2, 1, 1, 1, 2, 4, 2, 1, 2, 2, 3, 1, 0, 3, 3, 0, 3, 2, 2, 3, 0, 3, 3, 1, 0, 2, 1, 4, 3, 1, 1, 0, 2, 3, 2, 0, 4, 1, 4, 3, 3, 4, 2, 2, 4, 4, 0, 4, 3, 2, 2, 3, 2, 0, 3] pubkeycol764 = [1, 1, 4, 2, 0, 3, 4, 3, 1, 2, 1, 1, 4, 4, 2, 3, 3, 3, 3, 1, 2, 0, 2, 4, 2, 0, 1, 2, 3, 0, 4, 3, 2, 2, 2, 3, 1, 2, 3, 1, 4, 1, 3, 1, 4, 1, 2, 3, 1, 1, 2, 0, 3, 4, 3, 0, 1, 4, 1, 0, 0, 2, 4, 2, 1, 2, 3, 2, 2, 1, 1, 3, 3, 3, 0, 1, 1, 0, 3, 4, 1, 2, 2, 4, 1, 2, 3, 2, 1, 2, 0, 3, 4, 0, 1, 4, 2, 0, 1, 2, 2, 0, 1, 3, 3, 4, 0, 0, 2, 4, 4, 3, 2, 3, 4, 1, 4, 3, 1, 0, 3, 3, 3, 0, 0, 2, 3, 3, 2, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 1, 4, 1, 3, 3, 1, 0, 2, 4, 4, 2, 4, 4, 1, 0, 2, 1, 0, 3, 3, 4, 0, 3, 3, 3, 0, 0, 1, 2, 4, 3, 0, 0, 1, 4, 2, 0, 0, 1, 0, 0, 1, 0, 4, 4, 1, 1, 0, 1, 1, 1, 4, 2, 3, 3, 3, 2, 1, 3, 3, 4, 0, 0, 0, 1, 2, 0, 4, 2, 4, 2, 0, 2, 3, 2, 0, 0, 4, 2, 0, 1, 3, 3, 4, 1, 4, 4, 4, 0, 4, 4, 1, 3, 4, 0, 2, 3, 3, 4, 1, 0, 4, 4, 3, 1, 4, 3, 1, 1, 0, 4, 3, 4, 3, 1, 0, 4, 1, 0, 0, 1, 3, 3, 4, 4, 4, 0, 2, 4, 4, 3, 4, 2, 0, 2, 3, 3, 0, 3, 4, 2, 1, 4, 1, 1, 2, 1, 0, 2, 4, 3, 2, 3, 1, 3, 0, 1, 2, 3, 3, 4, 0, 1, 0, 4, 0, 0, 3, 4, 2, 0, 1, 1, 2, 3, 3, 3, 4, 2, 3, 2, 3, 2, 1, 3, 0, 1, 3, 1, 2, 4, 1, 1, 1, 2, 2, 0, 4, 0, 0, 1, 4, 3, 0, 0, 3, 1, 0, 3, 3, 2, 4, 4, 4, 3, 3, 4, 2, 1, 4, 1, 1, 2, 4, 2, 1, 0, 0, 3, 1, 2, 2, 0, 0, 0, 2, 1, 2, 4, 3, 1, 2, 0, 3, 4, 4, 2, 1, 1, 4, 1, 4, 0, 4, 0, 4, 3, 2, 4, 0, 4, 4, 4, 0, 4, 3, 2, 1, 4, 0, 3, 3, 4, 0, 1, 2, 4, 0, 2, 1, 1, 1, 0, 2, 3, 4, 1, 2, 1, 0, 1, 1, 0, 1, 4, 3, 4, 2, 2, 1, 4, 3, 2, 1, 3, 4, 1, 0, 0, 0, 0, 0, 4, 4, 2, 2, 3, 2, 3, 3, 0, 1, 0, 0, 4, 2, 3, 3, 3, 3, 0, 4, 0, 3, 0, 0, 0, 0, 1, 4, 1] pubkeycol765 = [4, 2, 3, 2, 1, 3, 4, 2, 2, 1, 0, 0, 4, 4, 4, 0, 2, 4, 4, 2, 1, 3, 3, 2, 3, 1, 1, 1, 3, 3, 2, 2, 3, 0, 4, 3, 0, 0, 4, 4, 0, 0, 0, 4, 2, 1, 0, 0, 1, 2, 0, 4, 4, 2, 4, 4, 3, 0, 4, 4, 4, 1, 3, 4, 1, 3, 4, 0, 2, 0, 4, 0, 0, 0, 0, 3, 0, 4, 1, 3, 2, 3, 4, 0, 0, 4, 2, 2, 1, 3, 2, 4, 3, 1, 2, 2, 3, 3, 3, 2, 2, 3, 4, 0, 4, 1, 3, 3, 1, 2, 3, 4, 3, 4, 3, 4, 2, 2, 4, 1, 0, 3, 2, 1, 2, 4, 4, 4, 3, 4, 1, 2, 4, 4, 0, 2, 3, 2, 0, 4, 2, 2, 2, 4, 3, 2, 0, 1, 3, 3, 4, 0, 3, 3, 3, 3, 3, 2, 3, 1, 4, 0, 1, 3, 2, 4, 4, 2, 1, 2, 0, 1, 0, 4, 1, 4, 3, 0, 1, 2, 2, 1, 2, 1, 3, 1, 0, 3, 4, 1, 4, 0, 2, 3, 3, 1, 3, 0, 3, 4, 0, 4, 1, 2, 3, 4, 3, 1, 4, 2, 2, 3, 4, 4, 3, 1, 2, 1, 0, 0, 2, 0, 2, 4, 4, 4, 2, 3, 2, 2, 4, 1, 0, 3, 3, 2, 3, 0, 4, 0, 4, 4, 0, 4, 3, 3, 4, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 4, 0, 4, 1, 0, 3, 3, 0, 0, 2, 4, 2, 3, 4, 1, 2, 1, 2, 0, 0, 1, 0, 3, 3, 2, 4, 2, 1, 0, 3, 3, 4, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 3, 1, 0, 4, 1, 1, 3, 2, 1, 2, 3, 2, 3, 0, 2, 3, 0, 1, 1, 3, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 3, 4, 2, 3, 1, 3, 3, 3, 0, 1, 0, 3, 4, 0, 0, 4, 0, 4, 4, 0, 3, 4, 4, 3, 3, 4, 1, 2, 1, 3, 2, 2, 3, 0, 0, 2, 1, 2, 4, 4, 1, 4, 0, 1, 2, 4, 4, 2, 2, 1, 2, 3, 4, 0, 4, 3, 3, 4, 4, 1, 4, 3, 0, 1, 3, 4, 1, 3, 1, 0, 0, 0, 4, 4, 1, 3, 3, 4, 3, 2, 0, 2, 3, 4, 0, 1, 4, 0, 3, 2, 2, 1, 3, 3, 3, 2, 1, 3, 0, 2, 4, 3, 2, 3, 4, 2, 1, 4, 4, 2, 4, 1, 0, 4, 2, 0, 2, 2, 1, 2, 3, 3, 2, 1, 2, 3, 1, 4, 0, 3, 0, 4, 3, 0, 3, 2, 4, 3, 0, 4, 1, 2, 1, 1, 1, 1, 4] pubkeycol766 = [0, 3, 3, 2, 0, 4, 4, 1, 0, 0, 0, 4, 4, 4, 4, 0, 2, 1, 2, 2, 3, 1, 3, 1, 4, 3, 3, 1, 1, 0, 2, 4, 2, 0, 0, 3, 2, 4, 3, 0, 4, 4, 3, 1, 0, 1, 1, 0, 1, 1, 4, 3, 3, 1, 3, 1, 1, 4, 1, 0, 1, 2, 1, 3, 3, 0, 0, 3, 3, 2, 4, 0, 1, 3, 3, 3, 3, 0, 2, 2, 4, 3, 0, 1, 0, 4, 1, 0, 3, 2, 0, 2, 3, 1, 3, 2, 0, 3, 0, 1, 2, 1, 3, 1, 4, 1, 4, 0, 3, 1, 1, 2, 3, 3, 1, 2, 2, 2, 0, 3, 1, 4, 3, 0, 4, 4, 3, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 4, 0, 1, 2, 4, 2, 0, 0, 2, 1, 2, 3, 1, 0, 4, 4, 2, 4, 3, 4, 2, 4, 3, 0, 4, 2, 1, 4, 0, 0, 0, 4, 0, 0, 1, 4, 1, 1, 4, 1, 1, 4, 2, 0, 3, 3, 2, 3, 2, 4, 1, 2, 1, 0, 2, 0, 4, 2, 4, 2, 2, 3, 2, 3, 2, 0, 1, 4, 4, 1, 4, 2, 4, 1, 2, 0, 2, 0, 3, 3, 4, 3, 1, 3, 1, 4, 3, 3, 0, 4, 4, 1, 3, 4, 4, 3, 3, 2, 4, 0, 0, 1, 4, 3, 0, 0, 4, 2, 1, 2, 1, 3, 1, 1, 2, 4, 1, 1, 3, 2, 2, 1, 3, 0, 0, 3, 1, 0, 4, 0, 0, 0, 1, 3, 3, 2, 3, 2, 3, 1, 4, 1, 0, 2, 3, 4, 3, 2, 2, 0, 0, 3, 4, 4, 4, 1, 1, 0, 2, 1, 2, 1, 1, 0, 3, 2, 2, 4, 4, 0, 4, 1, 4, 2, 4, 2, 3, 4, 0, 3, 4, 3, 3, 4, 3, 3, 2, 1, 1, 1, 0, 1, 4, 2, 1, 4, 3, 1, 3, 1, 1, 2, 1, 2, 4, 1, 0, 3, 0, 4, 0, 0, 0, 3, 0, 0, 2, 4, 4, 0, 1, 3, 3, 2, 2, 1, 2, 3, 2, 2, 0, 2, 3, 2, 1, 3, 1, 0, 3, 1, 3, 3, 2, 3, 0, 3, 4, 4, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 3, 1, 1, 4, 4, 0, 0, 4, 4, 2, 4, 3, 4, 1, 4, 2, 2, 1, 3, 1, 2, 2, 1, 4, 0, 0, 3, 4, 3, 0, 4, 2, 4, 1, 2, 1, 4, 0, 3, 0, 0, 4, 0, 2, 0, 1, 1, 2, 0, 3, 2, 1, 2, 0, 2, 0, 4, 3, 2, 4, 3, 4, 2, 2, 2, 4, 0, 2, 1, 2, 2, 0, 0, 4, 2, 4, 0, 2, 3, 4, 3, 3, 1] pubkeycol767 = [4, 0, 0, 4, 4, 0, 3, 2, 1, 0, 0, 3, 0, 1, 4, 4, 0, 3, 0, 2, 2, 3, 2, 0, 0, 4, 3, 0, 2, 1, 0, 3, 2, 3, 3, 1, 4, 2, 1, 3, 1, 2, 0, 0, 3, 0, 2, 4, 4, 3, 3, 4, 0, 2, 4, 1, 1, 4, 3, 0, 0, 0, 3, 1, 1, 0, 4, 4, 2, 1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3, 4, 3, 0, 4, 0, 1, 3, 0, 3, 4, 3, 3, 3, 2, 0, 3, 0, 4, 3, 0, 1, 0, 2, 1, 3, 4, 0, 3, 1, 0, 1, 0, 3, 2, 3, 1, 1, 4, 1, 2, 1, 3, 1, 3, 1, 1, 0, 1, 4, 1, 1, 4, 1, 3, 3, 1, 2, 3, 0, 3, 4, 3, 2, 2, 1, 2, 0, 1, 1, 3, 1, 3, 1, 3, 3, 4, 4, 4, 2, 3, 4, 0, 1, 3, 0, 2, 1, 0, 2, 2, 4, 1, 1, 1, 0, 0, 1, 0, 4, 0, 1, 0, 3, 0, 3, 2, 2, 3, 2, 3, 3, 4, 1, 4, 0, 1, 0, 3, 4, 1, 4, 2, 4, 2, 4, 4, 3, 2, 0, 0, 0, 3, 3, 2, 0, 1, 4, 4, 3, 1, 0, 2, 3, 0, 3, 3, 0, 3, 4, 0, 2, 1, 3, 3, 4, 4, 2, 4, 3, 4, 3, 2, 1, 3, 1, 3, 3, 2, 4, 2, 4, 1, 1, 4, 1, 1, 0, 3, 0, 4, 4, 0, 4, 4, 0, 1, 4, 4, 4, 4, 0, 4, 0, 3, 4, 1, 0, 0, 0, 4, 1, 0, 0, 2, 1, 2, 0, 4, 2, 4, 1, 4, 0, 4, 2, 4, 4, 3, 0, 0, 1, 2, 4, 4, 1, 3, 2, 3, 3, 2, 4, 2, 4, 0, 1, 0, 4, 3, 4, 3, 1, 3, 0, 0, 4, 0, 0, 4, 1, 3, 2, 4, 2, 4, 0, 1, 4, 1, 3, 0, 0, 0, 3, 2, 0, 3, 1, 4, 1, 2, 3, 2, 3, 2, 2, 2, 3, 3, 1, 3, 1, 2, 1, 2, 4, 0, 2, 2, 0, 4, 0, 4, 0, 4, 0, 0, 3, 1, 3, 0, 3, 3, 3, 2, 4, 0, 0, 0, 3, 2, 1, 3, 0, 4, 4, 2, 0, 1, 4, 2, 1, 4, 0, 4, 1, 2, 3, 2, 4, 4, 3, 2, 2, 0, 2, 1, 4, 3, 3, 2, 4, 3, 3, 1, 3, 2, 0, 3, 4, 1, 4, 4, 1, 2, 4, 0, 2, 1, 3, 3, 3, 3, 3, 1, 1, 4, 3, 0, 0, 3, 2, 3, 2, 2, 0, 4, 1, 4, 1, 3, 3, 3, 2, 4, 0, 4, 2, 3, 1, 3, 2, 3, 2, 4, 2, 1, 3, 2, 3, 0] pubkeycol768 = [4, 3, 1, 4, 4, 0, 4, 2, 1, 4, 2, 1, 4, 4, 2, 3, 1, 1, 4, 1, 3, 0, 2, 2, 0, 1, 3, 1, 0, 3, 0, 2, 3, 3, 1, 0, 2, 1, 4, 4, 2, 2, 2, 4, 2, 4, 1, 4, 2, 2, 2, 0, 3, 4, 3, 3, 1, 0, 2, 4, 1, 4, 4, 1, 0, 0, 3, 4, 2, 2, 1, 4, 1, 4, 4, 0, 4, 0, 3, 3, 0, 2, 4, 1, 3, 2, 1, 1, 1, 4, 2, 1, 3, 4, 4, 2, 2, 2, 0, 0, 3, 0, 0, 4, 0, 2, 2, 0, 3, 1, 4, 4, 2, 3, 1, 0, 0, 1, 2, 4, 3, 3, 4, 4, 3, 0, 4, 1, 1, 4, 1, 3, 4, 2, 0, 4, 3, 3, 4, 4, 3, 0, 1, 1, 4, 3, 3, 3, 4, 4, 4, 1, 3, 3, 2, 3, 1, 1, 1, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 1, 0, 0, 0, 1, 3, 4, 4, 3, 0, 0, 1, 0, 0, 3, 0, 1, 3, 0, 1, 0, 2, 4, 1, 0, 0, 1, 4, 4, 0, 4, 3, 4, 3, 0, 4, 4, 0, 4, 3, 1, 2, 0, 0, 3, 3, 2, 3, 3, 2, 4, 0, 4, 2, 2, 0, 3, 1, 1, 4, 4, 1, 4, 2, 0, 4, 2, 3, 4, 0, 1, 0, 3, 1, 4, 1, 2, 4, 4, 2, 1, 1, 0, 1, 4, 3, 2, 3, 4, 0, 3, 2, 1, 3, 3, 3, 3, 3, 1, 2, 0, 1, 0, 2, 3, 4, 0, 2, 1, 2, 1, 0, 4, 1, 3, 1, 4, 0, 1, 4, 4, 3, 2, 2, 4, 1, 2, 3, 3, 0, 1, 3, 2, 0, 1, 2, 1, 2, 4, 4, 4, 2, 0, 0, 3, 1, 0, 1, 0, 3, 2, 3, 4, 4, 1, 2, 3, 3, 2, 3, 1, 2, 1, 0, 4, 3, 3, 2, 2, 3, 0, 3, 1, 4, 3, 4, 1, 2, 2, 4, 1, 0, 2, 0, 4, 2, 0, 1, 2, 2, 4, 4, 1, 2, 3, 0, 0, 2, 4, 3, 1, 3, 3, 3, 1, 2, 4, 0, 3, 4, 1, 0, 4, 3, 1, 3, 2, 2, 1, 3, 2, 4, 2, 0, 4, 3, 4, 2, 4, 0, 2, 3, 1, 2, 4, 4, 4, 0, 2, 1, 2, 3, 4, 2, 4, 1, 3, 0, 2, 3, 4, 1, 3, 4, 4, 4, 0, 2, 1, 4, 2, 2, 3, 4, 4, 4, 2, 4, 1, 2, 4, 1, 2, 1, 3, 3, 2, 3, 4, 1, 4, 1, 0, 2, 1, 3, 3, 1, 3, 0, 3, 4, 3, 1, 2, 4, 0, 2, 0, 2, 3, 1, 1, 2, 0, 1, 2, 2, 2, 2, 4] pubkeycol769 = [2, 0, 2, 1, 1, 3, 1, 2, 1, 2, 0, 2, 0, 4, 3, 0, 1, 2, 2, 4, 3, 2, 4, 1, 3, 2, 1, 2, 2, 3, 4, 0, 1, 2, 1, 1, 1, 4, 0, 2, 3, 2, 1, 2, 4, 2, 0, 2, 2, 0, 2, 1, 0, 0, 3, 0, 1, 2, 0, 0, 2, 1, 1, 2, 4, 1, 3, 2, 0, 4, 0, 4, 4, 1, 0, 3, 1, 3, 3, 0, 1, 0, 0, 4, 2, 4, 4, 0, 0, 3, 0, 4, 3, 2, 0, 3, 4, 0, 4, 4, 4, 2, 4, 4, 1, 0, 3, 1, 0, 4, 1, 4, 2, 0, 3, 0, 0, 3, 4, 0, 4, 4, 4, 3, 1, 4, 4, 3, 4, 1, 2, 0, 2, 3, 1, 2, 1, 2, 3, 0, 2, 3, 3, 4, 3, 4, 4, 1, 1, 2, 0, 4, 2, 0, 2, 2, 0, 0, 4, 4, 1, 2, 3, 0, 3, 2, 3, 0, 4, 1, 0, 2, 0, 2, 3, 2, 0, 2, 2, 1, 0, 4, 2, 1, 3, 1, 2, 0, 0, 4, 2, 3, 4, 4, 3, 2, 0, 1, 1, 4, 2, 4, 1, 3, 0, 3, 0, 1, 4, 2, 4, 3, 2, 4, 1, 4, 0, 1, 2, 2, 2, 2, 3, 4, 4, 2, 4, 0, 2, 2, 0, 1, 1, 2, 2, 4, 3, 2, 1, 2, 4, 2, 3, 3, 4, 2, 4, 3, 0, 1, 4, 1, 3, 0, 1, 4, 2, 3, 3, 3, 3, 4, 4, 2, 3, 4, 2, 3, 4, 2, 3, 0, 4, 4, 0, 0, 3, 3, 4, 2, 3, 1, 3, 0, 0, 3, 3, 4, 0, 0, 4, 0, 2, 3, 2, 4, 2, 1, 3, 3, 3, 3, 1, 4, 0, 2, 0, 0, 4, 0, 4, 0, 1, 1, 1, 3, 1, 4, 2, 2, 3, 4, 0, 1, 3, 1, 0, 4, 2, 3, 4, 2, 1, 4, 2, 4, 2, 1, 2, 1, 0, 3, 4, 0, 3, 2, 1, 4, 4, 1, 0, 4, 1, 0, 0, 4, 0, 0, 0, 0, 0, 4, 3, 1, 3, 0, 3, 4, 0, 3, 3, 4, 4, 0, 3, 4, 4, 1, 4, 4, 1, 1, 2, 0, 1, 1, 0, 3, 4, 2, 3, 1, 3, 0, 3, 0, 0, 0, 1, 4, 4, 4, 1, 2, 2, 2, 1, 3, 3, 1, 0, 4, 2, 4, 1, 1, 3, 4, 3, 1, 3, 2, 3, 4, 0, 4, 1, 2, 4, 0, 1, 3, 0, 0, 1, 0, 0, 3, 2, 3, 1, 1, 1, 2, 2, 3, 1, 3, 1, 1, 4, 1, 0, 1, 1, 4, 4, 2, 0, 0, 0, 1, 4, 4, 2, 1, 3, 0, 2, 0, 4, 3, 3, 3, 4, 4, 3, 4, 0, 4] pubkeycol770 = [0, 1, 4, 1, 4, 4, 2, 0, 4, 4, 1, 4, 3, 3, 1, 4, 2, 0, 1, 2, 1, 4, 1, 2, 4, 2, 4, 1, 1, 3, 3, 1, 1, 4, 4, 3, 4, 3, 3, 3, 4, 1, 1, 4, 2, 4, 1, 0, 1, 4, 3, 3, 0, 1, 0, 4, 1, 4, 0, 4, 2, 3, 2, 3, 0, 0, 1, 0, 3, 3, 1, 3, 4, 2, 1, 2, 1, 0, 0, 1, 2, 3, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 3, 4, 1, 1, 4, 0, 2, 4, 3, 3, 3, 0, 0, 2, 0, 1, 0, 0, 4, 2, 4, 3, 0, 0, 3, 2, 1, 2, 0, 2, 1, 3, 0, 0, 2, 1, 4, 0, 2, 2, 2, 3, 3, 0, 3, 1, 1, 2, 4, 3, 1, 0, 2, 4, 1, 2, 0, 3, 4, 2, 2, 1, 2, 3, 2, 1, 1, 3, 1, 2, 1, 3, 0, 2, 2, 4, 2, 2, 4, 4, 0, 0, 3, 1, 2, 1, 2, 0, 4, 4, 1, 3, 0, 3, 3, 3, 0, 0, 2, 0, 4, 2, 1, 0, 4, 3, 1, 1, 2, 1, 3, 4, 2, 0, 3, 1, 3, 1, 4, 2, 3, 0, 1, 2, 4, 1, 4, 3, 1, 3, 4, 3, 2, 1, 4, 1, 3, 2, 0, 1, 3, 3, 4, 3, 0, 4, 1, 2, 2, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 1, 4, 4, 2, 1, 2, 0, 2, 4, 4, 0, 2, 0, 4, 1, 3, 4, 3, 0, 4, 1, 3, 1, 1, 0, 1, 2, 1, 0, 3, 0, 4, 1, 0, 2, 4, 2, 3, 3, 1, 2, 2, 0, 1, 3, 4, 2, 1, 3, 3, 2, 4, 1, 0, 2, 2, 1, 2, 3, 1, 1, 2, 3, 4, 0, 4, 4, 3, 0, 1, 3, 1, 2, 4, 1, 2, 2, 1, 2, 3, 2, 1, 3, 4, 3, 3, 3, 0, 2, 3, 4, 1, 4, 3, 1, 4, 3, 0, 4, 0, 4, 1, 0, 4, 2, 2, 3, 2, 0, 4, 3, 3, 3, 4, 3, 4, 1, 0, 4, 0, 3, 1, 0, 1, 0, 1, 3, 3, 0, 4, 0, 3, 1, 3, 4, 0, 1, 0, 2, 2, 3, 4, 0, 1, 0, 2, 0, 1, 2, 4, 3, 1, 2, 2, 2, 3, 1, 3, 1, 3, 2, 4, 4, 3, 2, 4, 3, 4, 2, 0, 3, 1, 3, 3, 0, 0, 2, 0, 1, 4, 0, 2, 4, 3, 3, 1, 2, 4, 1, 4, 1, 3, 3, 1, 1, 3, 4, 2, 3, 0, 3, 2, 0, 3, 2, 2, 4, 2, 2, 4, 2, 3, 2, 0, 3, 3, 0, 3, 1, 3, 4, 1, 0, 1, 4, 3] pubkeycol771 = [1, 4, 2, 4, 3, 2, 4, 1, 1, 4, 4, 1, 0, 3, 3, 4, 0, 1, 1, 3, 2, 3, 3, 2, 4, 3, 2, 0, 3, 0, 2, 4, 1, 1, 4, 2, 0, 3, 3, 2, 2, 2, 2, 4, 0, 2, 4, 0, 1, 1, 2, 3, 2, 4, 3, 0, 1, 3, 0, 1, 3, 4, 1, 1, 1, 3, 3, 4, 2, 2, 0, 3, 4, 2, 1, 4, 1, 1, 3, 2, 4, 0, 2, 2, 4, 3, 0, 3, 3, 3, 1, 4, 0, 3, 4, 3, 0, 4, 3, 2, 1, 0, 2, 1, 0, 4, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 4, 1, 1, 2, 3, 4, 4, 4, 4, 0, 3, 1, 0, 3, 2, 1, 2, 4, 2, 0, 4, 0, 1, 2, 3, 3, 3, 2, 3, 0, 4, 1, 2, 4, 0, 1, 4, 0, 0, 2, 1, 0, 4, 2, 2, 3, 4, 3, 0, 2, 4, 0, 3, 0, 1, 0, 4, 1, 3, 4, 3, 4, 0, 2, 1, 3, 2, 2, 0, 3, 4, 2, 0, 4, 3, 1, 4, 2, 3, 0, 0, 4, 0, 0, 4, 0, 3, 1, 1, 3, 0, 3, 2, 0, 4, 3, 1, 2, 2, 3, 1, 4, 3, 1, 1, 0, 4, 2, 2, 4, 4, 2, 3, 4, 1, 3, 1, 2, 1, 0, 1, 2, 3, 3, 1, 0, 1, 3, 1, 2, 0, 2, 2, 2, 1, 2, 3, 3, 0, 4, 4, 4, 2, 2, 2, 1, 1, 2, 0, 4, 1, 0, 1, 0, 2, 4, 1, 2, 3, 0, 2, 0, 2, 0, 2, 4, 2, 4, 4, 3, 2, 0, 0, 2, 1, 2, 4, 1, 2, 2, 1, 3, 0, 2, 4, 4, 1, 3, 3, 4, 1, 1, 3, 0, 4, 3, 0, 4, 1, 0, 4, 3, 3, 0, 2, 2, 1, 2, 3, 0, 4, 4, 2, 0, 4, 2, 1, 1, 4, 4, 3, 3, 2, 4, 4, 3, 0, 4, 3, 2, 2, 0, 0, 0, 2, 4, 1, 2, 0, 0, 2, 3, 1, 2, 1, 1, 2, 2, 4, 3, 2, 1, 4, 4, 1, 1, 0, 3, 3, 4, 0, 1, 4, 4, 4, 4, 2, 2, 2, 1, 1, 3, 4, 2, 2, 2, 3, 1, 0, 1, 2, 0, 4, 3, 2, 0, 0, 0, 1, 3, 2, 2, 1, 4, 3, 2, 0, 4, 0, 2, 3, 2, 3, 2, 0, 1, 1, 0, 2, 3, 3, 2, 3, 2, 4, 1, 4, 4, 1, 4, 1, 2, 1, 1, 3, 1, 2, 4, 0, 0, 4, 1, 4, 4, 2, 3, 1, 2, 2, 2, 2, 4, 2, 3, 1, 4, 1, 2, 1, 4, 2, 4, 1, 0, 3, 1, 0, 3, 2, 4, 4, 2] pubkeycol772 = [3, 0, 2, 2, 3, 3, 2, 3, 1, 2, 3, 3, 4, 0, 1, 0, 2, 2, 2, 1, 3, 1, 1, 3, 3, 1, 0, 0, 2, 3, 0, 4, 2, 0, 2, 4, 2, 0, 0, 1, 2, 3, 4, 0, 2, 0, 0, 4, 0, 3, 4, 3, 2, 4, 2, 2, 3, 3, 1, 4, 4, 2, 1, 1, 0, 4, 4, 3, 2, 4, 1, 3, 1, 0, 3, 0, 0, 2, 3, 0, 2, 1, 1, 3, 1, 4, 2, 1, 2, 4, 1, 2, 3, 2, 1, 2, 1, 4, 4, 0, 3, 2, 0, 1, 1, 3, 0, 4, 4, 3, 0, 4, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 4, 2, 2, 1, 0, 3, 3, 1, 4, 1, 3, 1, 2, 3, 1, 3, 0, 0, 4, 4, 1, 3, 2, 0, 3, 0, 3, 2, 4, 4, 0, 2, 0, 2, 2, 0, 1, 4, 1, 4, 1, 2, 2, 4, 2, 2, 3, 3, 2, 0, 1, 0, 1, 0, 3, 0, 4, 2, 0, 2, 4, 1, 3, 4, 2, 4, 1, 1, 4, 0, 1, 0, 4, 4, 4, 3, 3, 2, 2, 3, 2, 3, 3, 4, 0, 3, 1, 2, 4, 1, 3, 2, 4, 2, 3, 3, 1, 3, 4, 1, 0, 2, 4, 2, 4, 0, 0, 4, 1, 0, 4, 3, 0, 3, 2, 1, 1, 2, 3, 2, 3, 2, 0, 0, 2, 0, 3, 1, 2, 2, 3, 1, 4, 4, 3, 1, 0, 0, 2, 0, 4, 1, 1, 4, 2, 3, 3, 0, 2, 4, 0, 3, 0, 2, 0, 3, 1, 1, 3, 0, 1, 2, 2, 3, 4, 2, 3, 0, 4, 2, 3, 2, 2, 4, 0, 0, 3, 3, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1, 0, 3, 2, 3, 1, 4, 1, 3, 3, 3, 4, 2, 4, 4, 4, 3, 2, 4, 2, 1, 4, 4, 3, 2, 2, 1, 3, 4, 4, 2, 3, 0, 2, 2, 4, 0, 4, 0, 3, 1, 4, 0, 4, 0, 0, 0, 4, 4, 0, 0, 0, 1, 0, 1, 3, 3, 4, 0, 3, 2, 3, 1, 0, 3, 3, 4, 4, 4, 1, 4, 3, 1, 3, 1, 1, 2, 2, 0, 4, 1, 1, 0, 3, 2, 4, 2, 2, 4, 2, 4, 4, 1, 4, 4, 0, 1, 4, 4, 1, 1, 0, 4, 4, 3, 4, 1, 4, 3, 1, 3, 4, 3, 4, 0, 2, 4, 1, 1, 0, 3, 3, 1, 3, 1, 3, 3, 3, 4, 0, 0, 2, 4, 1, 4, 3, 2, 1, 0, 0, 3, 2, 2, 1, 3, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 4, 3, 3, 1, 2, 0, 2, 1, 2, 3, 3] pubkeycol773 = [4, 2, 2, 4, 0, 2, 2, 4, 0, 1, 1, 1, 0, 4, 0, 3, 1, 1, 4, 4, 2, 3, 4, 4, 0, 1, 4, 2, 1, 2, 2, 3, 4, 3, 4, 1, 2, 0, 4, 0, 3, 0, 4, 3, 1, 4, 4, 2, 1, 1, 3, 3, 4, 2, 0, 1, 1, 2, 4, 4, 0, 4, 1, 0, 3, 2, 0, 3, 0, 3, 4, 3, 2, 4, 1, 1, 0, 3, 3, 4, 3, 1, 4, 0, 1, 2, 1, 0, 0, 3, 4, 4, 2, 2, 3, 1, 0, 1, 3, 2, 2, 1, 3, 1, 1, 4, 2, 4, 1, 2, 1, 2, 3, 3, 3, 2, 0, 2, 4, 0, 2, 0, 4, 1, 3, 0, 2, 1, 3, 2, 0, 0, 1, 0, 4, 3, 2, 3, 1, 0, 3, 4, 2, 0, 0, 2, 2, 2, 2, 0, 2, 3, 2, 2, 0, 2, 0, 1, 2, 4, 1, 1, 0, 4, 4, 2, 2, 4, 1, 1, 0, 1, 0, 1, 0, 3, 3, 1, 0, 0, 0, 3, 2, 1, 4, 1, 0, 1, 1, 3, 1, 3, 0, 4, 1, 4, 3, 0, 2, 1, 1, 3, 0, 0, 0, 3, 4, 2, 0, 4, 1, 2, 1, 4, 3, 0, 3, 4, 1, 2, 4, 4, 0, 0, 1, 0, 1, 4, 0, 1, 4, 2, 3, 1, 3, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 3, 1, 0, 2, 1, 1, 4, 0, 2, 3, 1, 2, 2, 2, 3, 1, 4, 2, 2, 3, 0, 3, 0, 0, 1, 1, 4, 3, 3, 0, 4, 3, 0, 3, 1, 2, 4, 0, 4, 4, 0, 4, 2, 1, 0, 0, 1, 4, 0, 0, 4, 3, 3, 4, 4, 2, 3, 1, 2, 2, 1, 4, 3, 1, 1, 3, 1, 1, 3, 4, 0, 0, 4, 1, 0, 0, 4, 3, 4, 4, 4, 2, 2, 1, 4, 2, 1, 4, 4, 0, 0, 2, 1, 0, 3, 4, 1, 2, 2, 3, 4, 3, 4, 1, 2, 4, 2, 3, 3, 1, 4, 2, 1, 3, 3, 1, 0, 4, 4, 2, 1, 3, 0, 0, 3, 0, 3, 4, 4, 0, 2, 3, 3, 3, 3, 1, 3, 3, 0, 4, 4, 4, 2, 4, 2, 4, 2, 0, 0, 0, 1, 4, 2, 1, 0, 2, 2, 2, 2, 4, 1, 3, 0, 0, 3, 0, 1, 0, 3, 4, 2, 4, 2, 3, 3, 4, 1, 0, 0, 0, 1, 1, 4, 1, 2, 4, 3, 1, 1, 2, 3, 2, 4, 3, 2, 1, 1, 2, 3, 4, 1, 3, 3, 2, 1, 3, 2, 3, 2, 4, 2, 4, 0, 2, 2, 2, 3, 1, 4, 0, 1, 0, 0, 1, 3, 1, 1, 0, 2, 1, 4, 4, 1, 2] pubkeycol774 = [3, 4, 3, 3, 3, 3, 1, 4, 1, 3, 3, 0, 0, 3, 0, 3, 1, 3, 3, 2, 0, 1, 2, 3, 4, 3, 3, 1, 3, 0, 1, 4, 4, 0, 3, 2, 1, 2, 3, 1, 4, 3, 4, 1, 1, 4, 2, 4, 3, 1, 4, 4, 2, 2, 0, 0, 1, 3, 2, 0, 0, 0, 1, 2, 4, 0, 1, 1, 4, 4, 2, 2, 1, 0, 0, 0, 0, 1, 0, 3, 2, 2, 2, 0, 0, 4, 1, 0, 0, 2, 0, 0, 0, 4, 3, 2, 3, 2, 4, 0, 4, 3, 2, 0, 3, 3, 4, 3, 3, 4, 2, 0, 4, 0, 3, 2, 3, 3, 3, 1, 2, 0, 4, 1, 1, 2, 0, 2, 2, 1, 3, 0, 3, 2, 0, 0, 0, 2, 1, 4, 4, 4, 4, 0, 3, 3, 0, 1, 1, 2, 2, 3, 1, 0, 3, 4, 3, 2, 0, 4, 0, 3, 1, 3, 1, 2, 2, 2, 1, 3, 3, 2, 1, 4, 3, 0, 3, 1, 3, 0, 0, 4, 2, 3, 3, 4, 0, 0, 0, 4, 1, 2, 4, 4, 1, 2, 4, 1, 0, 2, 1, 1, 2, 3, 4, 2, 4, 3, 4, 1, 3, 2, 4, 2, 1, 4, 1, 2, 3, 1, 1, 3, 1, 1, 1, 2, 4, 0, 1, 3, 4, 3, 4, 1, 4, 4, 0, 2, 2, 1, 1, 0, 3, 0, 1, 3, 3, 4, 0, 4, 3, 4, 2, 2, 4, 3, 4, 2, 1, 4, 3, 0, 1, 1, 1, 1, 0, 3, 0, 0, 3, 1, 3, 1, 4, 0, 3, 4, 0, 0, 2, 2, 4, 2, 0, 0, 4, 1, 0, 3, 2, 1, 0, 1, 4, 0, 4, 1, 4, 1, 2, 3, 1, 1, 4, 3, 1, 1, 0, 3, 0, 2, 3, 3, 2, 4, 4, 0, 0, 2, 0, 4, 4, 0, 3, 4, 4, 1, 2, 0, 0, 1, 0, 3, 4, 4, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 3, 1, 1, 2, 3, 0, 4, 3, 2, 1, 3, 3, 3, 2, 1, 2, 4, 0, 2, 1, 1, 0, 4, 4, 4, 4, 0, 2, 2, 1, 2, 4, 1, 1, 3, 0, 3, 0, 0, 2, 3, 1, 4, 3, 3, 4, 1, 2, 0, 4, 0, 4, 3, 1, 4, 0, 3, 4, 3, 1, 3, 0, 0, 3, 3, 2, 2, 4, 3, 4, 3, 3, 4, 0, 0, 4, 1, 0, 3, 1, 3, 3, 4, 1, 1, 0, 4, 2, 2, 2, 1, 4, 3, 0, 1, 4, 2, 4, 1, 4, 3, 4, 3, 3, 2, 2, 2, 0, 0, 4, 4, 4, 4, 2, 0, 1, 3, 1, 2, 0, 4, 2, 2, 3, 2, 4, 1, 0, 4, 1, 2] pubkeycol775 = [0, 4, 0, 2, 2, 1, 2, 1, 3, 2, 2, 3, 3, 3, 2, 0, 0, 4, 2, 0, 1, 2, 0, 2, 3, 4, 3, 1, 1, 3, 2, 3, 4, 4, 3, 4, 1, 4, 3, 1, 2, 3, 0, 2, 1, 3, 0, 2, 3, 2, 2, 3, 4, 0, 3, 0, 2, 0, 3, 0, 3, 3, 1, 1, 4, 1, 4, 3, 2, 0, 2, 0, 2, 1, 1, 4, 3, 2, 1, 0, 1, 4, 0, 4, 4, 0, 1, 0, 2, 0, 0, 4, 1, 2, 1, 2, 0, 1, 0, 4, 4, 3, 0, 3, 4, 1, 1, 1, 0, 4, 2, 2, 3, 0, 0, 2, 2, 0, 4, 4, 1, 3, 3, 1, 1, 2, 0, 4, 0, 3, 2, 3, 4, 2, 0, 1, 2, 4, 1, 0, 2, 1, 3, 0, 3, 4, 1, 1, 0, 0, 0, 4, 1, 3, 2, 1, 0, 3, 0, 1, 0, 1, 1, 1, 0, 4, 3, 1, 3, 3, 3, 1, 1, 2, 0, 1, 4, 0, 0, 1, 3, 0, 2, 3, 0, 0, 2, 2, 3, 2, 0, 0, 4, 4, 4, 0, 0, 2, 2, 1, 1, 4, 1, 3, 3, 4, 4, 4, 3, 3, 3, 1, 0, 1, 3, 0, 2, 3, 1, 4, 0, 1, 2, 1, 4, 1, 0, 4, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 4, 0, 3, 3, 4, 0, 4, 4, 1, 1, 0, 3, 3, 3, 3, 2, 1, 0, 0, 1, 4, 4, 1, 1, 3, 3, 3, 1, 1, 0, 2, 3, 4, 1, 4, 0, 4, 3, 3, 0, 3, 3, 2, 3, 4, 0, 1, 4, 3, 4, 2, 3, 1, 1, 3, 2, 1, 3, 4, 0, 1, 4, 4, 3, 3, 4, 0, 2, 0, 4, 0, 4, 2, 2, 3, 2, 0, 4, 3, 1, 0, 0, 3, 4, 2, 3, 3, 0, 2, 3, 1, 2, 0, 4, 1, 0, 0, 0, 2, 1, 2, 4, 1, 2, 4, 3, 3, 4, 0, 1, 4, 2, 3, 3, 1, 2, 0, 2, 4, 0, 1, 1, 0, 3, 4, 2, 4, 2, 0, 0, 4, 3, 2, 2, 4, 4, 2, 3, 2, 0, 2, 1, 3, 3, 4, 3, 0, 2, 4, 2, 3, 2, 2, 4, 1, 4, 2, 3, 4, 4, 0, 2, 3, 3, 3, 1, 2, 0, 0, 4, 2, 0, 4, 3, 3, 2, 4, 0, 0, 0, 3, 2, 1, 3, 4, 1, 0, 4, 1, 1, 1, 3, 3, 3, 1, 2, 4, 2, 3, 3, 3, 2, 0, 4, 1, 4, 4, 4, 1, 4, 0, 1, 3, 1, 3, 1, 0, 1, 1, 0, 3, 3, 0, 3, 0, 4, 4, 1, 3, 0, 3, 1, 0, 2, 1, 4, 2, 1, 2, 0, 0, 0] pubkeycol776 = [1, 4, 3, 4, 3, 1, 4, 0, 2, 0, 1, 2, 2, 4, 3, 2, 3, 2, 4, 3, 4, 4, 0, 3, 1, 2, 1, 2, 2, 4, 3, 3, 4, 4, 2, 2, 0, 3, 4, 1, 4, 2, 4, 1, 0, 3, 3, 4, 3, 2, 1, 0, 0, 3, 4, 3, 2, 3, 0, 3, 2, 2, 1, 4, 4, 4, 0, 1, 1, 0, 4, 4, 1, 3, 4, 4, 1, 4, 2, 3, 1, 3, 1, 3, 3, 3, 0, 2, 4, 4, 0, 3, 3, 0, 4, 4, 2, 3, 2, 4, 3, 1, 2, 4, 4, 2, 4, 4, 4, 3, 1, 1, 2, 1, 4, 1, 2, 4, 4, 3, 3, 4, 4, 0, 1, 2, 0, 2, 4, 0, 0, 3, 4, 0, 4, 3, 2, 1, 4, 3, 2, 3, 2, 4, 1, 2, 0, 2, 0, 2, 1, 4, 1, 3, 0, 0, 3, 1, 1, 3, 4, 0, 4, 3, 2, 1, 3, 1, 0, 2, 0, 2, 1, 2, 2, 4, 2, 1, 1, 4, 0, 4, 2, 2, 4, 2, 4, 2, 1, 3, 2, 4, 2, 2, 0, 4, 4, 3, 3, 0, 3, 0, 2, 1, 1, 0, 1, 3, 2, 3, 3, 0, 0, 2, 0, 4, 1, 3, 1, 2, 2, 0, 4, 3, 4, 2, 1, 2, 4, 3, 1, 2, 1, 0, 0, 0, 0, 0, 4, 1, 0, 0, 2, 2, 0, 4, 2, 0, 2, 3, 4, 1, 3, 1, 3, 3, 1, 4, 1, 0, 4, 1, 2, 1, 1, 0, 1, 2, 4, 3, 4, 1, 2, 0, 1, 4, 4, 4, 2, 3, 4, 0, 3, 4, 0, 0, 0, 1, 3, 2, 3, 2, 1, 1, 2, 0, 2, 3, 1, 3, 1, 4, 3, 4, 1, 1, 1, 4, 2, 3, 3, 0, 0, 2, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 2, 1, 1, 0, 4, 1, 0, 2, 3, 0, 3, 2, 3, 4, 1, 0, 0, 0, 4, 1, 3, 1, 3, 2, 1, 0, 2, 3, 2, 4, 0, 4, 4, 4, 2, 4, 3, 2, 0, 0, 2, 1, 1, 0, 0, 3, 1, 2, 0, 1, 4, 4, 3, 3, 0, 1, 3, 0, 0, 1, 0, 2, 1, 4, 1, 2, 0, 3, 3, 4, 0, 1, 4, 1, 1, 1, 3, 2, 4, 0, 0, 2, 4, 4, 3, 0, 4, 4, 2, 1, 4, 1, 3, 0, 2, 4, 4, 1, 0, 1, 1, 3, 0, 4, 1, 1, 4, 2, 4, 4, 4, 0, 1, 0, 3, 4, 1, 4, 1, 3, 4, 4, 4, 4, 4, 1, 0, 0, 3, 3, 4, 3, 0, 0, 3, 3, 0, 1, 3, 0, 2, 4, 1, 2, 3, 4, 2, 4, 2, 2, 1, 2, 2, 3, 2, 4] pubkeycol777 = [2, 1, 1, 4, 0, 0, 4, 2, 0, 2, 3, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 3, 4, 3, 3, 3, 1, 3, 2, 2, 4, 3, 2, 4, 3, 1, 0, 0, 1, 0, 3, 4, 0, 1, 4, 2, 1, 0, 1, 4, 3, 4, 1, 0, 0, 3, 3, 1, 2, 0, 3, 4, 2, 1, 0, 2, 3, 4, 2, 2, 0, 4, 0, 1, 1, 3, 0, 3, 3, 2, 2, 2, 0, 4, 0, 0, 3, 0, 0, 3, 3, 2, 0, 1, 0, 0, 2, 3, 0, 4, 0, 4, 1, 3, 1, 2, 3, 3, 0, 3, 1, 0, 0, 0, 4, 2, 4, 1, 3, 4, 1, 3, 1, 4, 4, 0, 3, 2, 2, 4, 2, 0, 2, 2, 4, 1, 0, 0, 1, 2, 2, 1, 4, 3, 3, 0, 0, 2, 1, 3, 3, 4, 1, 4, 1, 2, 0, 2, 2, 4, 2, 2, 0, 4, 1, 0, 4, 0, 4, 4, 1, 0, 4, 2, 2, 2, 4, 2, 0, 0, 3, 4, 0, 3, 1, 0, 0, 0, 4, 0, 4, 1, 1, 2, 0, 3, 4, 3, 3, 4, 4, 1, 1, 1, 0, 4, 4, 1, 3, 0, 2, 2, 1, 3, 4, 4, 1, 0, 0, 3, 4, 2, 2, 1, 4, 4, 0, 3, 0, 2, 4, 1, 1, 1, 0, 0, 2, 2, 2, 0, 3, 1, 4, 4, 0, 2, 4, 0, 0, 3, 3, 0, 0, 3, 0, 0, 4, 4, 4, 2, 1, 0, 0, 0, 0, 4, 3, 1, 3, 3, 3, 0, 1, 2, 2, 3, 0, 0, 1, 0, 2, 3, 1, 4, 2, 2, 2, 2, 1, 1, 4, 3, 3, 2, 4, 0, 3, 0, 3, 0, 3, 4, 3, 1, 1, 1, 0, 3, 4, 0, 0, 3, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 3, 0, 3, 4, 2, 4, 4, 1, 3, 0, 1, 2, 4, 2, 4, 4, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 3, 4, 3, 3, 4, 0, 1, 1, 4, 4, 0, 3, 1, 4, 2, 3, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 4, 1, 2, 2, 3, 1, 2, 1, 1, 4, 0, 4, 4, 0, 4, 4, 3, 0, 1, 0, 1, 4, 0, 1, 1, 2, 4, 0, 2, 2, 0, 1, 1, 4, 4, 1, 1, 0, 4, 0, 0, 0, 0, 1, 3, 0, 4, 3, 4, 1, 3, 0, 1, 2, 3, 1, 2, 4, 0, 2, 3, 1, 4, 3, 0, 1, 3, 3, 1, 4, 0, 1, 2, 2, 4, 3, 4, 3, 2, 0, 2, 1, 4, 1, 4, 0, 1, 4, 3, 1, 3, 4, 0, 3, 4, 4, 2, 4, 0] pubkeycol778 = [4, 3, 3, 3, 3, 4, 4, 1, 2, 2, 1, 3, 1, 3, 0, 3, 1, 3, 4, 0, 3, 0, 1, 3, 3, 0, 4, 4, 3, 1, 2, 0, 4, 3, 0, 2, 4, 3, 0, 2, 4, 1, 1, 4, 4, 0, 0, 3, 2, 3, 4, 0, 2, 0, 2, 3, 2, 1, 0, 1, 1, 3, 3, 1, 3, 3, 0, 3, 2, 4, 0, 2, 2, 1, 2, 3, 2, 2, 4, 2, 4, 0, 4, 3, 4, 0, 4, 4, 2, 1, 2, 3, 2, 0, 1, 1, 4, 1, 3, 4, 1, 3, 3, 0, 0, 2, 1, 0, 0, 0, 3, 4, 0, 1, 3, 0, 1, 3, 4, 2, 0, 4, 3, 3, 4, 3, 4, 0, 1, 2, 3, 2, 4, 3, 2, 3, 2, 4, 3, 2, 0, 1, 1, 0, 4, 3, 4, 3, 2, 3, 4, 0, 2, 1, 2, 3, 4, 1, 2, 4, 2, 1, 2, 4, 2, 1, 2, 4, 2, 3, 0, 3, 4, 1, 0, 4, 2, 0, 0, 0, 1, 4, 3, 1, 3, 3, 4, 0, 4, 3, 4, 4, 0, 2, 3, 2, 0, 2, 4, 3, 3, 2, 0, 2, 1, 2, 4, 1, 2, 2, 1, 4, 1, 4, 3, 2, 3, 1, 2, 2, 2, 2, 1, 1, 4, 1, 2, 1, 1, 4, 4, 4, 0, 1, 1, 0, 2, 3, 0, 3, 3, 4, 3, 2, 3, 2, 4, 1, 4, 4, 1, 3, 4, 0, 3, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 3, 4, 2, 4, 3, 1, 0, 4, 0, 2, 1, 0, 2, 4, 1, 3, 0, 2, 0, 1, 4, 1, 3, 2, 0, 0, 3, 2, 1, 3, 2, 1, 3, 3, 1, 0, 1, 2, 4, 1, 2, 2, 0, 0, 3, 2, 1, 1, 3, 1, 0, 1, 0, 2, 4, 1, 4, 2, 0, 2, 3, 3, 2, 4, 2, 0, 3, 3, 2, 4, 3, 4, 4, 1, 4, 1, 4, 1, 2, 3, 4, 4, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 3, 1, 2, 4, 4, 3, 1, 3, 2, 2, 0, 2, 1, 0, 4, 4, 4, 2, 4, 3, 1, 4, 1, 4, 1, 2, 3, 2, 2, 2, 3, 2, 0, 2, 4, 0, 0, 1, 2, 4, 3, 0, 0, 3, 1, 4, 4, 0, 1, 2, 2, 1, 4, 0, 2, 2, 2, 4, 3, 0, 2, 0, 0, 4, 1, 4, 0, 2, 4, 3, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 3, 1, 2, 3, 2, 1, 0, 2, 1, 2, 4, 3, 3, 3, 2, 0, 3, 4, 4, 3, 0, 0, 4, 3, 0, 1, 0, 4, 2, 2, 1, 4, 0, 3, 4, 0, 1, 1, 2, 3, 1] pubkeycol779 = [2, 4, 1, 3, 3, 1, 1, 1, 3, 1, 0, 2, 3, 3, 0, 2, 2, 0, 1, 3, 3, 3, 4, 1, 2, 4, 1, 3, 4, 0, 2, 4, 4, 2, 3, 2, 3, 2, 0, 2, 3, 0, 4, 4, 2, 0, 0, 1, 2, 0, 3, 1, 3, 0, 4, 3, 2, 1, 3, 2, 0, 4, 2, 0, 0, 4, 3, 2, 3, 2, 2, 0, 3, 4, 4, 2, 3, 4, 4, 2, 3, 3, 4, 2, 4, 4, 2, 0, 2, 4, 2, 0, 4, 4, 2, 2, 0, 4, 3, 2, 3, 4, 1, 4, 4, 2, 2, 3, 1, 0, 2, 0, 3, 3, 4, 4, 0, 0, 3, 1, 3, 3, 2, 0, 1, 4, 1, 0, 1, 1, 3, 0, 1, 3, 1, 1, 1, 2, 2, 3, 1, 2, 2, 0, 0, 3, 3, 0, 1, 4, 1, 0, 3, 1, 1, 4, 0, 4, 0, 0, 3, 0, 4, 4, 4, 2, 3, 2, 4, 3, 3, 4, 2, 4, 4, 0, 0, 4, 3, 1, 3, 4, 2, 1, 2, 0, 2, 4, 1, 4, 2, 4, 1, 0, 3, 4, 0, 4, 4, 3, 4, 3, 1, 0, 0, 1, 4, 0, 3, 3, 3, 0, 4, 1, 2, 1, 3, 3, 3, 0, 4, 3, 3, 4, 4, 1, 1, 1, 4, 2, 1, 2, 4, 0, 4, 3, 1, 1, 1, 4, 2, 0, 2, 1, 2, 1, 4, 4, 0, 1, 3, 1, 0, 2, 3, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 3, 0, 1, 3, 0, 3, 4, 2, 2, 2, 1, 2, 2, 0, 1, 4, 1, 4, 0, 4, 0, 4, 2, 3, 1, 0, 1, 3, 1, 0, 1, 4, 2, 3, 1, 3, 4, 1, 2, 1, 0, 4, 3, 4, 2, 2, 1, 2, 1, 4, 1, 1, 4, 0, 3, 0, 4, 3, 1, 2, 4, 0, 2, 4, 0, 2, 4, 1, 2, 4, 4, 2, 3, 0, 0, 1, 0, 3, 1, 4, 3, 3, 1, 1, 4, 3, 3, 3, 2, 1, 4, 4, 2, 2, 2, 4, 3, 0, 3, 2, 2, 2, 3, 4, 3, 1, 3, 4, 2, 1, 0, 1, 1, 1, 3, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 3, 0, 1, 3, 4, 0, 4, 0, 2, 2, 0, 0, 3, 2, 2, 0, 1, 0, 2, 3, 4, 1, 3, 3, 1, 0, 2, 4, 3, 3, 4, 3, 0, 4, 3, 3, 4, 3, 1, 2, 0, 2, 0, 4, 3, 1, 0, 0, 2, 0, 0, 1, 0, 0, 3, 4, 4, 1, 2, 1, 0, 2, 2, 3, 4, 1, 3, 3, 0, 3, 3, 2, 2, 0, 0, 3, 0, 3, 4, 3, 1, 3, 1, 2, 3, 4, 0, 0, 1] pubkeycol780 = [1, 4, 3, 2, 4, 1, 0, 4, 3, 3, 4, 3, 1, 1, 0, 3, 0, 3, 4, 3, 3, 2, 3, 0, 3, 2, 3, 2, 2, 2, 3, 2, 1, 4, 0, 3, 0, 2, 1, 2, 1, 4, 3, 1, 2, 4, 3, 3, 2, 0, 4, 4, 3, 3, 1, 0, 4, 0, 1, 2, 1, 3, 2, 4, 0, 1, 4, 1, 0, 3, 3, 1, 0, 4, 4, 3, 3, 2, 1, 1, 3, 2, 2, 0, 0, 2, 0, 4, 3, 1, 4, 4, 3, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 3, 1, 0, 0, 0, 2, 3, 1, 3, 1, 4, 1, 3, 3, 0, 0, 4, 1, 4, 3, 0, 2, 3, 3, 1, 3, 3, 4, 2, 0, 3, 4, 1, 4, 1, 2, 0, 3, 1, 0, 2, 3, 0, 1, 3, 3, 1, 2, 2, 1, 0, 1, 3, 2, 0, 4, 4, 4, 0, 0, 0, 3, 1, 4, 0, 0, 4, 4, 4, 3, 1, 4, 0, 2, 3, 3, 0, 4, 0, 1, 3, 2, 1, 3, 2, 3, 1, 1, 2, 1, 3, 0, 4, 4, 0, 1, 2, 4, 4, 2, 2, 1, 4, 4, 2, 3, 0, 2, 2, 3, 4, 4, 4, 2, 1, 0, 1, 3, 1, 0, 2, 1, 3, 4, 3, 0, 0, 0, 0, 0, 4, 3, 0, 3, 2, 1, 3, 0, 0, 2, 3, 0, 1, 3, 3, 3, 4, 4, 2, 3, 3, 4, 0, 1, 0, 1, 3, 2, 1, 0, 2, 1, 4, 2, 1, 3, 2, 3, 2, 2, 0, 3, 1, 3, 0, 2, 3, 3, 0, 1, 2, 4, 3, 2, 4, 1, 4, 3, 1, 1, 0, 3, 1, 2, 2, 4, 1, 1, 1, 2, 0, 4, 2, 2, 1, 4, 2, 3, 1, 3, 1, 0, 4, 2, 0, 2, 3, 1, 0, 4, 2, 0, 2, 3, 4, 0, 4, 4, 1, 4, 0, 4, 0, 1, 4, 0, 1, 2, 0, 1, 4, 0, 1, 0, 4, 4, 1, 0, 3, 3, 4, 4, 2, 2, 0, 1, 2, 2, 3, 0, 0, 1, 1, 1, 2, 0, 0, 1, 4, 2, 1, 0, 4, 0, 3, 3, 4, 0, 2, 4, 3, 1, 3, 1, 1, 0, 0, 2, 3, 4, 1, 4, 4, 0, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 1, 1, 0, 4, 3, 3, 1, 0, 2, 4, 2, 4, 0, 1, 1, 3, 1, 1, 4, 4, 1, 2, 0, 1, 4, 0, 3, 0, 0, 1, 4, 1, 0, 4, 3, 0, 2, 0, 2, 2, 0, 2, 2, 3, 3, 3, 3, 1, 3, 3, 2, 3, 3, 1, 3, 1, 3, 0, 1, 2, 0, 1, 3, 2, 3, 1, 4, 0, 2, 4] pubkeycol781 = [3, 4, 3, 1, 4, 2, 0, 0, 3, 4, 3, 3, 2, 0, 2, 3, 2, 2, 4, 4, 0, 3, 2, 2, 0, 4, 2, 3, 2, 0, 0, 1, 2, 0, 3, 1, 1, 1, 1, 3, 2, 4, 0, 3, 0, 1, 3, 1, 0, 4, 2, 2, 3, 4, 3, 1, 2, 0, 2, 0, 4, 2, 0, 2, 0, 4, 1, 0, 4, 3, 2, 2, 4, 3, 2, 2, 2, 4, 0, 0, 1, 1, 4, 0, 0, 4, 0, 2, 3, 0, 1, 2, 3, 1, 2, 0, 0, 3, 1, 2, 2, 2, 1, 4, 2, 2, 4, 1, 0, 0, 1, 3, 1, 0, 0, 2, 2, 4, 3, 4, 0, 4, 3, 2, 0, 2, 0, 3, 0, 3, 4, 3, 3, 3, 1, 3, 1, 4, 3, 0, 1, 2, 2, 3, 2, 3, 1, 2, 0, 2, 4, 2, 3, 3, 1, 0, 1, 3, 4, 3, 1, 4, 1, 2, 3, 2, 2, 1, 3, 0, 0, 4, 0, 0, 4, 2, 3, 4, 1, 4, 4, 1, 1, 0, 2, 0, 0, 1, 1, 4, 0, 2, 3, 1, 2, 3, 3, 1, 0, 2, 2, 0, 2, 3, 2, 2, 4, 2, 3, 2, 1, 3, 0, 0, 4, 3, 1, 1, 3, 3, 4, 0, 3, 4, 1, 0, 0, 4, 1, 1, 4, 3, 3, 0, 4, 3, 0, 0, 3, 2, 4, 4, 3, 2, 1, 2, 4, 3, 3, 1, 0, 4, 4, 0, 3, 2, 2, 2, 4, 4, 3, 2, 0, 1, 2, 3, 0, 0, 2, 0, 2, 4, 3, 3, 0, 1, 3, 3, 4, 0, 0, 2, 3, 0, 0, 2, 2, 3, 4, 3, 1, 1, 1, 0, 4, 0, 0, 0, 1, 4, 3, 3, 3, 3, 0, 1, 1, 0, 0, 4, 0, 3, 4, 2, 0, 1, 4, 4, 3, 1, 1, 4, 2, 4, 0, 4, 0, 3, 0, 1, 1, 0, 4, 0, 2, 1, 3, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 2, 3, 1, 1, 3, 4, 4, 2, 1, 4, 2, 4, 1, 4, 4, 3, 1, 3, 4, 1, 3, 0, 0, 4, 1, 4, 1, 2, 4, 3, 2, 4, 4, 0, 2, 1, 0, 3, 2, 1, 2, 1, 4, 0, 0, 2, 0, 4, 3, 1, 4, 1, 1, 4, 0, 3, 4, 0, 3, 2, 2, 4, 1, 2, 0, 2, 3, 1, 3, 2, 1, 4, 2, 4, 1, 1, 1, 3, 3, 3, 4, 1, 0, 0, 2, 0, 1, 2, 3, 0, 1, 3, 1, 0, 4, 4, 2, 2, 1, 1, 2, 3, 3, 1, 3, 2, 4, 3, 1, 3, 2, 1, 3, 0, 1, 1, 1, 3, 2, 4, 3, 0, 4, 1, 0] pubkeycol782 = [4, 2, 3, 4, 2, 4, 0, 0, 3, 1, 0, 3, 1, 4, 4, 2, 3, 2, 0, 4, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 2, 3, 2, 4, 1, 3, 3, 0, 0, 1, 2, 4, 3, 3, 0, 3, 1, 1, 3, 0, 2, 0, 0, 0, 2, 4, 0, 4, 4, 1, 3, 0, 4, 4, 0, 4, 2, 0, 1, 4, 3, 3, 0, 3, 1, 4, 1, 0, 4, 2, 0, 1, 2, 3, 3, 1, 1, 4, 2, 1, 1, 3, 1, 2, 3, 2, 2, 0, 3, 1, 1, 3, 1, 4, 1, 4, 1, 3, 1, 2, 1, 4, 2, 2, 4, 0, 0, 0, 3, 3, 0, 4, 0, 3, 0, 1, 4, 4, 3, 0, 0, 3, 4, 2, 4, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 3, 2, 3, 0, 1, 4, 0, 0, 2, 3, 1, 4, 0, 4, 2, 0, 2, 2, 2, 3, 3, 0, 3, 4, 3, 4, 3, 4, 1, 0, 4, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 4, 1, 2, 1, 4, 4, 4, 1, 1, 0, 3, 3, 3, 0, 4, 1, 3, 4, 1, 1, 1, 4, 4, 0, 0, 3, 2, 4, 0, 2, 3, 2, 0, 4, 4, 3, 0, 0, 3, 4, 1, 2, 1, 0, 2, 1, 4, 3, 1, 1, 1, 0, 4, 0, 3, 1, 0, 3, 3, 2, 1, 1, 4, 3, 1, 0, 1, 0, 3, 4, 1, 4, 0, 3, 3, 3, 3, 0, 2, 1, 3, 1, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 4, 2, 4, 2, 3, 0, 0, 4, 0, 0, 0, 4, 4, 3, 1, 3, 0, 0, 4, 2, 2, 0, 2, 3, 3, 0, 0, 0, 1, 4, 2, 4, 3, 4, 1, 3, 2, 3, 3, 0, 0, 4, 2, 2, 1, 4, 0, 3, 0, 3, 1, 3, 3, 3, 3, 0, 2, 3, 2, 3, 3, 3, 3, 4, 1, 0, 1, 0, 4, 2, 1, 2, 3, 2, 0, 4, 0, 2, 0, 3, 4, 3, 4, 4, 0, 1, 0, 0, 3, 3, 1, 2, 1, 2, 3, 2, 3, 2, 2, 4, 1, 0, 2, 2, 4, 0, 1, 1, 4, 1, 2, 0, 3, 1, 1, 2, 1, 3, 2, 3, 1, 1, 1, 1, 3, 4, 4, 2, 2, 0, 0, 0, 2, 2, 4, 3, 2, 0, 1, 1, 0, 3, 2, 1, 3, 2, 3, 0, 3, 2, 4, 0, 4, 2, 2, 1, 3, 2, 1, 2, 0, 3, 0, 3, 4, 0, 0, 1, 4, 4, 4, 0, 3, 3, 3, 1, 4, 4, 0, 2, 2, 3, 0, 3, 2, 1, 0] pubkeycol783 = [1, 2, 4, 0, 1, 1, 0, 2, 1, 4, 4, 4, 3, 1, 2, 3, 4, 0, 2, 0, 0, 2, 3, 4, 2, 3, 4, 0, 2, 4, 1, 1, 0, 2, 1, 3, 0, 0, 2, 3, 2, 4, 4, 1, 0, 1, 4, 2, 0, 2, 2, 0, 4, 2, 4, 4, 1, 4, 0, 0, 1, 1, 3, 4, 1, 4, 2, 1, 3, 3, 3, 3, 4, 0, 3, 3, 4, 1, 2, 0, 3, 2, 3, 2, 4, 4, 3, 2, 1, 3, 4, 2, 0, 0, 3, 1, 0, 1, 3, 4, 0, 3, 4, 4, 0, 0, 4, 0, 4, 1, 1, 3, 1, 2, 2, 3, 0, 2, 1, 3, 4, 4, 0, 1, 2, 3, 2, 1, 0, 1, 3, 2, 3, 0, 0, 0, 1, 3, 2, 3, 3, 1, 4, 4, 3, 2, 2, 3, 2, 3, 4, 3, 3, 1, 1, 3, 4, 1, 1, 2, 2, 0, 2, 3, 4, 1, 1, 1, 3, 4, 3, 2, 3, 2, 2, 3, 1, 0, 1, 0, 3, 1, 3, 4, 3, 3, 0, 0, 3, 1, 3, 3, 1, 1, 1, 4, 1, 3, 0, 3, 2, 2, 0, 1, 4, 0, 0, 2, 1, 3, 3, 1, 4, 3, 4, 1, 0, 3, 2, 4, 4, 0, 4, 3, 1, 1, 3, 0, 3, 0, 1, 3, 2, 3, 2, 4, 4, 4, 0, 2, 4, 3, 4, 1, 2, 1, 1, 0, 4, 4, 3, 3, 2, 1, 3, 4, 4, 3, 4, 4, 1, 1, 3, 4, 3, 3, 0, 3, 1, 0, 1, 2, 3, 3, 4, 2, 0, 4, 0, 4, 2, 3, 3, 0, 2, 3, 0, 0, 4, 4, 3, 1, 2, 4, 2, 1, 3, 3, 3, 0, 2, 1, 3, 3, 3, 1, 0, 1, 1, 4, 0, 0, 2, 3, 3, 2, 0, 1, 3, 2, 3, 4, 1, 3, 4, 0, 0, 3, 4, 0, 4, 0, 2, 4, 0, 2, 3, 4, 0, 3, 2, 2, 3, 3, 4, 2, 2, 1, 4, 1, 4, 3, 3, 3, 1, 3, 3, 4, 3, 2, 1, 0, 1, 1, 1, 0, 1, 1, 4, 1, 2, 1, 3, 1, 2, 2, 1, 0, 4, 0, 3, 3, 3, 0, 4, 1, 1, 3, 4, 1, 0, 3, 2, 1, 0, 3, 0, 3, 1, 4, 0, 0, 1, 3, 3, 4, 3, 2, 4, 4, 4, 2, 1, 3, 2, 1, 3, 4, 3, 2, 2, 0, 2, 4, 0, 2, 3, 0, 2, 1, 3, 2, 0, 0, 1, 1, 1, 4, 1, 1, 4, 3, 0, 4, 4, 1, 4, 3, 1, 0, 1, 4, 0, 3, 4, 1, 2, 0, 3, 4, 1, 4, 2, 1, 2, 0, 0, 0, 4, 1, 2, 1, 1, 0, 4, 2, 0, 1, 0, 4] pubkeycol784 = [1, 1, 1, 2, 0, 1, 4, 0, 0, 1, 3, 4, 3, 0, 3, 0, 1, 2, 4, 2, 2, 1, 4, 4, 2, 4, 1, 0, 1, 4, 0, 0, 3, 0, 1, 4, 4, 3, 2, 4, 4, 3, 0, 0, 1, 2, 4, 0, 0, 3, 1, 4, 4, 4, 0, 0, 1, 1, 3, 3, 2, 1, 3, 1, 0, 2, 3, 3, 1, 2, 0, 4, 3, 4, 1, 2, 4, 4, 2, 2, 2, 3, 0, 0, 3, 2, 4, 1, 4, 4, 0, 0, 2, 4, 4, 3, 1, 4, 2, 0, 3, 0, 2, 3, 4, 4, 4, 0, 1, 0, 1, 2, 2, 1, 3, 2, 1, 1, 4, 1, 3, 2, 1, 4, 3, 0, 0, 1, 4, 3, 3, 0, 0, 4, 4, 4, 4, 2, 4, 4, 0, 4, 4, 3, 4, 3, 3, 4, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 2, 1, 2, 0, 0, 0, 4, 0, 4, 3, 1, 2, 2, 0, 3, 3, 0, 4, 0, 4, 3, 2, 4, 3, 0, 3, 4, 0, 0, 2, 4, 4, 4, 4, 0, 4, 2, 4, 3, 0, 2, 0, 1, 1, 4, 3, 3, 1, 0, 3, 1, 1, 4, 0, 0, 3, 2, 4, 1, 4, 1, 0, 3, 2, 0, 4, 1, 3, 2, 1, 1, 0, 0, 3, 2, 2, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 3, 3, 0, 0, 0, 0, 1, 3, 2, 3, 2, 1, 1, 4, 0, 4, 1, 2, 2, 4, 1, 0, 0, 1, 4, 3, 3, 2, 0, 3, 3, 4, 4, 4, 2, 4, 0, 4, 1, 2, 2, 3, 4, 4, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 2, 4, 1, 3, 2, 4, 3, 0, 1, 4, 4, 0, 0, 4, 1, 0, 1, 0, 1, 3, 3, 3, 2, 0, 4, 1, 3, 0, 2, 2, 3, 3, 4, 1, 3, 1, 4, 3, 4, 4, 0, 1, 0, 1, 4, 2, 1, 4, 1, 3, 3, 3, 0, 0, 1, 2, 4, 0, 0, 0, 0, 2, 0, 4, 2, 4, 2, 3, 4, 3, 0, 0, 1, 1, 2, 1, 3, 3, 1, 3, 2, 2, 3, 0, 2, 2, 0, 3, 3, 2, 1, 1, 3, 3, 1, 2, 3, 3, 2, 1, 4, 4, 1, 2, 2, 3, 0, 2, 4, 2, 0, 1, 1, 4, 4, 4, 1, 0, 0, 1, 0, 4, 4, 4, 3, 1, 3, 0, 1, 3, 3, 2, 1, 0, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 3, 3, 2, 4, 4, 3, 3, 3, 1, 4, 1, 2, 0, 2, 1, 2, 1, 3, 4, 3, 3, 0, 3, 4, 3, 4, 0, 2, 4, 4, 4, 1, 4, 2, 2, 1] pubkeycol785 = [0, 4, 2, 4, 4, 3, 2, 2, 3, 4, 1, 1, 4, 4, 0, 2, 0, 1, 2, 2, 0, 3, 0, 0, 0, 2, 4, 0, 2, 4, 2, 3, 1, 1, 2, 1, 4, 2, 0, 1, 3, 2, 2, 4, 1, 3, 4, 1, 3, 0, 2, 1, 1, 3, 2, 2, 1, 1, 4, 4, 2, 0, 3, 1, 0, 3, 4, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 3, 0, 2, 4, 3, 0, 2, 1, 1, 1, 2, 3, 4, 1, 1, 4, 1, 4, 0, 2, 4, 1, 1, 0, 0, 3, 3, 3, 0, 4, 3, 2, 2, 0, 4, 0, 2, 2, 2, 2, 3, 3, 0, 2, 4, 2, 2, 1, 4, 0, 2, 4, 1, 4, 0, 3, 0, 2, 1, 3, 3, 4, 3, 0, 1, 2, 3, 1, 1, 0, 4, 3, 3, 0, 4, 2, 4, 2, 4, 2, 4, 3, 0, 3, 1, 1, 3, 1, 0, 2, 1, 3, 3, 4, 1, 3, 4, 2, 0, 3, 0, 2, 2, 2, 0, 0, 1, 4, 0, 4, 0, 4, 1, 1, 1, 4, 2, 1, 3, 3, 3, 4, 0, 4, 0, 4, 4, 0, 0, 2, 3, 0, 4, 1, 1, 0, 4, 3, 3, 4, 0, 0, 4, 1, 1, 3, 2, 0, 0, 1, 0, 3, 3, 2, 3, 2, 3, 1, 0, 2, 2, 3, 4, 0, 3, 1, 1, 3, 4, 0, 2, 1, 1, 0, 3, 1, 1, 2, 4, 0, 1, 4, 2, 4, 2, 2, 1, 2, 1, 1, 4, 3, 4, 4, 1, 2, 2, 2, 2, 1, 3, 4, 4, 3, 2, 0, 4, 0, 2, 0, 4, 1, 3, 0, 0, 3, 1, 2, 4, 3, 4, 0, 3, 1, 0, 1, 1, 1, 0, 0, 0, 3, 2, 2, 0, 1, 4, 1, 4, 1, 2, 2, 0, 3, 2, 0, 4, 1, 0, 3, 4, 4, 2, 3, 2, 0, 1, 4, 1, 2, 3, 2, 3, 4, 2, 0, 3, 3, 0, 1, 2, 4, 4, 0, 4, 1, 1, 3, 2, 4, 0, 2, 2, 2, 0, 1, 1, 4, 0, 1, 0, 1, 2, 1, 3, 2, 2, 4, 2, 2, 4, 4, 0, 1, 0, 0, 3, 2, 0, 4, 3, 1, 3, 3, 2, 0, 3, 4, 2, 3, 2, 1, 0, 2, 1, 4, 4, 1, 4, 2, 2, 4, 1, 2, 3, 2, 1, 2, 1, 4, 2, 3, 0, 3, 2, 3, 2, 2, 1, 0, 4, 3, 1, 0, 1, 1, 3, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 4, 0, 4, 2, 2, 0, 3, 0, 3, 1, 2, 2, 3, 0, 4, 4, 1, 2, 3, 0, 1, 0, 4, 0, 1, 4, 2, 0, 4, 1, 2, 3, 3, 0, 4] pubkeycol786 = [0, 0, 2, 1, 2, 3, 4, 3, 1, 3, 2, 0, 3, 0, 3, 0, 1, 4, 3, 3, 4, 0, 1, 2, 4, 3, 3, 0, 4, 2, 0, 4, 0, 2, 3, 3, 4, 1, 2, 4, 3, 2, 0, 2, 0, 3, 4, 4, 2, 4, 1, 2, 0, 2, 4, 1, 2, 4, 3, 4, 1, 1, 0, 0, 1, 0, 4, 4, 2, 2, 3, 1, 0, 3, 0, 1, 2, 0, 3, 1, 2, 2, 0, 2, 0, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 2, 0, 2, 0, 1, 3, 3, 3, 2, 3, 4, 2, 4, 3, 3, 4, 1, 1, 3, 3, 2, 1, 2, 3, 2, 1, 1, 2, 4, 1, 3, 2, 0, 4, 1, 0, 1, 0, 0, 4, 2, 2, 0, 4, 1, 3, 0, 4, 1, 2, 4, 0, 0, 3, 3, 3, 4, 4, 4, 1, 4, 2, 3, 1, 3, 3, 1, 2, 0, 0, 3, 0, 0, 3, 3, 1, 4, 2, 1, 2, 3, 2, 1, 2, 4, 3, 1, 0, 4, 4, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 4, 3, 2, 3, 1, 4, 3, 1, 4, 0, 4, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 4, 4, 2, 3, 4, 3, 2, 0, 4, 0, 3, 3, 2, 0, 1, 1, 2, 2, 1, 4, 3, 2, 1, 0, 0, 4, 3, 4, 3, 3, 2, 3, 2, 4, 2, 4, 0, 3, 3, 0, 4, 4, 0, 0, 1, 0, 3, 4, 2, 2, 0, 3, 2, 0, 3, 4, 4, 2, 0, 2, 2, 4, 1, 1, 0, 3, 1, 4, 0, 1, 3, 2, 0, 2, 3, 3, 4, 4, 3, 1, 1, 1, 2, 4, 1, 3, 2, 1, 3, 1, 4, 4, 1, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 2, 2, 0, 1, 4, 4, 2, 1, 3, 1, 3, 0, 1, 3, 4, 2, 3, 3, 1, 0, 3, 4, 3, 4, 1, 1, 1, 0, 2, 0, 0, 1, 0, 3, 2, 2, 4, 1, 2, 0, 3, 2, 1, 3, 3, 4, 3, 4, 3, 0, 1, 2, 3, 3, 0, 3, 4, 3, 1, 2, 1, 3, 0, 2, 1, 3, 2, 0, 2, 4, 4, 1, 4, 2, 4, 3, 0, 4, 0, 4, 2, 4, 4, 0, 4, 3, 1, 1, 4, 2, 2, 3, 2, 0, 0, 2, 4, 0, 2, 2, 0, 3, 3, 2, 1, 4, 0, 4, 4, 4, 3, 1, 1, 1, 4, 0, 0, 4, 2, 2, 3, 3, 1, 2, 3, 0, 3, 3, 1, 4, 2, 1, 1, 1, 4, 1, 4, 3, 1, 4, 0, 0, 4, 0, 2, 4, 3] pubkeycol787 = [0, 1, 3, 1, 3, 0, 1, 3, 4, 0, 0, 1, 3, 0, 2, 0, 4, 0, 3, 3, 1, 0, 2, 0, 2, 2, 1, 4, 3, 4, 3, 2, 2, 3, 4, 3, 3, 2, 4, 4, 1, 2, 0, 0, 0, 1, 4, 2, 0, 1, 0, 2, 1, 3, 1, 4, 1, 4, 3, 2, 3, 2, 2, 3, 2, 0, 3, 4, 4, 3, 4, 0, 4, 0, 3, 4, 4, 2, 1, 1, 2, 3, 3, 1, 2, 3, 3, 0, 4, 0, 3, 2, 1, 2, 1, 4, 3, 0, 2, 1, 4, 1, 4, 0, 4, 1, 1, 2, 2, 0, 2, 0, 3, 0, 1, 0, 2, 1, 3, 0, 3, 0, 3, 1, 1, 1, 1, 4, 2, 2, 0, 4, 4, 4, 1, 2, 2, 0, 2, 0, 0, 4, 4, 1, 4, 0, 2, 3, 2, 4, 0, 4, 4, 1, 4, 3, 4, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 3, 2, 2, 3, 0, 4, 4, 4, 4, 3, 4, 1, 1, 0, 3, 4, 1, 2, 3, 0, 4, 0, 4, 2, 2, 1, 1, 2, 3, 0, 2, 3, 2, 0, 4, 0, 0, 2, 2, 1, 0, 0, 4, 3, 3, 3, 3, 0, 4, 1, 1, 4, 2, 0, 1, 3, 1, 1, 3, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 4, 0, 3, 1, 3, 3, 1, 4, 1, 2, 0, 0, 2, 4, 4, 1, 2, 2, 1, 4, 1, 3, 4, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 3, 0, 4, 2, 1, 0, 4, 4, 2, 2, 2, 3, 1, 0, 3, 0, 0, 2, 4, 4, 3, 2, 0, 1, 0, 0, 0, 4, 1, 1, 4, 3, 0, 0, 0, 1, 3, 1, 2, 4, 1, 4, 1, 0, 1, 3, 1, 4, 3, 1, 1, 2, 2, 0, 2, 1, 1, 3, 3, 3, 0, 0, 0, 1, 0, 1, 1, 3, 0, 2, 4, 3, 3, 2, 0, 1, 4, 3, 1, 4, 4, 0, 3, 2, 1, 4, 2, 2, 2, 2, 2, 4, 0, 2, 2, 0, 2, 0, 3, 2, 2, 0, 3, 2, 2, 1, 3, 1, 4, 1, 2, 0, 3, 2, 1, 0, 0, 3, 0, 1, 1, 4, 2, 3, 0, 4, 4, 0, 3, 0, 3, 2, 4, 0, 1, 2, 0, 3, 4, 3, 2, 1, 1, 0, 2, 3, 0, 2, 4, 0, 0, 2, 2, 2, 4, 4, 3, 3, 4, 4, 2, 4, 1, 4, 2, 2, 3, 3, 0, 0, 4, 1, 2, 1, 0, 2, 0, 2, 2, 1, 3, 1, 1, 2, 3, 3, 0, 0, 0, 2, 3, 4, 2, 0, 1, 1, 3, 2, 0, 0, 4, 1, 1, 1, 2] pubkeycol788 = [0, 0, 2, 0, 0, 3, 3, 4, 3, 4, 3, 3, 1, 2, 3, 1, 2, 3, 0, 3, 4, 1, 0, 4, 0, 2, 3, 2, 4, 3, 2, 4, 1, 1, 4, 0, 2, 0, 2, 1, 1, 3, 1, 2, 3, 0, 4, 3, 4, 0, 0, 0, 3, 3, 1, 3, 4, 4, 3, 0, 3, 0, 4, 3, 3, 2, 2, 0, 3, 2, 4, 0, 4, 2, 4, 2, 1, 4, 4, 3, 3, 0, 2, 4, 2, 2, 1, 3, 1, 2, 0, 3, 4, 2, 1, 1, 1, 3, 1, 0, 1, 3, 3, 1, 1, 1, 4, 3, 1, 4, 2, 3, 4, 2, 0, 1, 4, 4, 1, 0, 2, 1, 3, 0, 4, 3, 0, 0, 2, 4, 1, 2, 2, 4, 0, 0, 4, 4, 1, 1, 2, 3, 2, 0, 0, 1, 3, 4, 2, 4, 4, 0, 0, 3, 2, 4, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 3, 0, 1, 3, 0, 0, 2, 1, 1, 2, 0, 3, 4, 4, 0, 3, 3, 3, 4, 1, 1, 1, 3, 1, 3, 1, 3, 4, 3, 2, 1, 0, 0, 4, 3, 4, 4, 0, 1, 3, 4, 0, 2, 1, 4, 2, 4, 4, 4, 1, 2, 3, 3, 1, 3, 2, 0, 2, 4, 0, 3, 3, 2, 0, 1, 4, 2, 2, 0, 2, 0, 1, 4, 4, 0, 2, 3, 0, 2, 2, 2, 0, 0, 1, 1, 2, 3, 1, 3, 3, 3, 0, 1, 3, 3, 0, 0, 1, 0, 3, 2, 3, 2, 2, 4, 0, 1, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 2, 4, 2, 2, 3, 4, 2, 0, 2, 3, 2, 4, 4, 3, 1, 2, 3, 2, 4, 0, 3, 2, 0, 2, 3, 3, 3, 4, 2, 2, 4, 0, 4, 1, 2, 3, 1, 4, 0, 2, 3, 4, 2, 0, 2, 3, 4, 3, 3, 2, 0, 2, 2, 3, 3, 3, 1, 0, 0, 3, 3, 4, 4, 2, 2, 0, 2, 1, 2, 4, 3, 2, 4, 2, 2, 1, 1, 3, 2, 1, 4, 3, 1, 4, 4, 3, 0, 0, 4, 0, 0, 0, 3, 4, 1, 3, 1, 0, 1, 3, 1, 4, 4, 0, 0, 2, 1, 3, 4, 2, 3, 2, 2, 3, 3, 1, 3, 3, 0, 3, 0, 4, 3, 0, 2, 1, 2, 1, 2, 2, 3, 2, 3, 0, 4, 0, 4, 1, 3, 1, 2, 2, 0, 3, 0, 0, 3, 3, 1, 0, 0, 3, 2, 3, 2, 3, 1, 3, 3, 1, 1, 4, 1, 3, 3, 1, 0, 3, 0, 4, 4, 4, 2, 0, 0, 4, 0, 2, 1, 4, 2, 1, 2, 3, 4, 4, 3, 0, 4, 0, 0, 1, 3, 4, 2, 4] pubkeycol789 = [1, 0, 3, 0, 1, 2, 3, 0, 1, 3, 0, 4, 4, 3, 1, 0, 2, 2, 3, 2, 4, 0, 2, 0, 2, 3, 1, 3, 0, 1, 0, 3, 1, 1, 2, 1, 4, 4, 4, 4, 3, 2, 1, 2, 0, 1, 4, 0, 4, 2, 0, 1, 2, 2, 0, 1, 3, 1, 4, 4, 2, 0, 4, 4, 0, 3, 2, 0, 1, 1, 2, 4, 2, 0, 4, 2, 4, 4, 3, 4, 0, 3, 1, 3, 3, 1, 2, 1, 4, 3, 3, 3, 1, 0, 1, 2, 4, 3, 4, 1, 0, 0, 4, 0, 4, 1, 2, 0, 3, 3, 4, 3, 2, 3, 4, 4, 2, 2, 2, 2, 3, 4, 0, 1, 4, 3, 3, 1, 3, 3, 0, 3, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 4, 2, 3, 0, 4, 2, 0, 0, 1, 4, 1, 0, 4, 1, 0, 1, 4, 2, 2, 3, 1, 1, 2, 2, 2, 4, 4, 4, 1, 0, 2, 1, 4, 3, 1, 1, 4, 0, 2, 1, 4, 4, 2, 2, 0, 3, 1, 3, 2, 2, 3, 4, 1, 4, 3, 3, 3, 3, 4, 2, 4, 3, 1, 3, 1, 4, 3, 2, 1, 1, 1, 4, 2, 1, 2, 0, 1, 4, 0, 3, 2, 2, 1, 3, 2, 3, 3, 1, 3, 3, 4, 2, 2, 0, 1, 3, 1, 3, 1, 0, 2, 4, 4, 1, 4, 0, 3, 2, 0, 3, 1, 3, 1, 4, 1, 2, 1, 1, 2, 3, 3, 2, 0, 0, 2, 2, 1, 3, 4, 2, 0, 2, 2, 0, 1, 4, 0, 3, 3, 0, 3, 1, 0, 1, 4, 3, 0, 2, 4, 0, 2, 3, 4, 4, 3, 0, 1, 2, 4, 4, 3, 1, 4, 2, 1, 0, 0, 1, 0, 0, 4, 0, 3, 0, 3, 2, 1, 2, 4, 0, 0, 2, 3, 0, 3, 2, 1, 4, 0, 4, 1, 0, 3, 0, 2, 1, 2, 4, 1, 0, 4, 2, 3, 4, 0, 3, 3, 4, 1, 4, 3, 2, 0, 4, 4, 0, 4, 0, 4, 0, 2, 1, 1, 4, 2, 2, 0, 4, 0, 3, 3, 1, 2, 2, 3, 0, 0, 3, 1, 2, 2, 3, 2, 4, 1, 4, 4, 0, 0, 2, 4, 1, 1, 1, 3, 3, 0, 0, 4, 4, 2, 0, 4, 2, 0, 1, 2, 3, 4, 3, 0, 3, 4, 4, 4, 0, 1, 4, 4, 4, 3, 3, 0, 0, 2, 2, 0, 1, 2, 3, 4, 0, 1, 4, 1, 0, 1, 1, 0, 3, 1, 3, 2, 2, 1, 3, 4, 4, 2, 3, 2, 0, 4, 2, 1, 1, 0, 4, 0, 1, 2, 2, 0, 4, 1, 3, 4, 4, 0, 2, 3, 4, 1, 0, 2, 3, 4, 4] pubkeycol790 = [2, 4, 0, 1, 4, 4, 4, 0, 4, 3, 2, 0, 4, 0, 4, 2, 0, 3, 1, 0, 1, 1, 1, 2, 3, 3, 3, 3, 4, 0, 1, 2, 2, 0, 1, 2, 2, 1, 4, 4, 0, 1, 4, 2, 4, 1, 2, 3, 0, 2, 4, 0, 0, 2, 0, 4, 2, 3, 0, 1, 4, 1, 2, 3, 2, 1, 0, 0, 2, 2, 3, 4, 0, 2, 0, 1, 0, 2, 1, 3, 4, 1, 0, 0, 0, 1, 2, 2, 1, 3, 1, 0, 2, 3, 2, 3, 3, 2, 1, 0, 2, 3, 3, 2, 1, 2, 3, 2, 4, 0, 2, 1, 3, 3, 4, 2, 0, 1, 0, 0, 2, 1, 1, 0, 4, 3, 4, 3, 3, 0, 4, 0, 3, 0, 1, 1, 1, 1, 0, 4, 3, 3, 3, 3, 4, 0, 0, 2, 4, 3, 0, 1, 4, 0, 4, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 3, 1, 4, 0, 0, 1, 1, 0, 4, 1, 4, 0, 3, 1, 1, 2, 0, 1, 1, 3, 2, 3, 1, 0, 3, 2, 4, 3, 1, 3, 4, 0, 4, 4, 3, 4, 2, 2, 0, 2, 2, 4, 2, 2, 0, 1, 1, 2, 2, 3, 3, 4, 3, 3, 2, 1, 3, 3, 2, 0, 0, 1, 2, 2, 1, 3, 1, 0, 3, 3, 0, 1, 4, 4, 1, 2, 2, 3, 4, 2, 3, 2, 2, 4, 2, 3, 2, 3, 4, 1, 3, 0, 2, 1, 3, 0, 2, 3, 0, 0, 1, 2, 2, 0, 1, 2, 0, 4, 1, 2, 1, 3, 0, 0, 4, 0, 0, 1, 0, 3, 0, 4, 4, 2, 4, 0, 4, 1, 4, 4, 1, 4, 2, 2, 2, 3, 4, 3, 4, 0, 1, 1, 4, 0, 2, 3, 0, 0, 0, 0, 4, 0, 4, 4, 0, 1, 1, 3, 0, 2, 1, 4, 4, 2, 1, 0, 3, 1, 4, 2, 1, 2, 2, 2, 2, 3, 1, 0, 4, 3, 0, 3, 4, 3, 4, 0, 3, 2, 3, 4, 0, 3, 2, 4, 1, 3, 4, 1, 3, 3, 1, 3, 4, 4, 3, 0, 0, 4, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 3, 2, 0, 3, 1, 1, 2, 4, 2, 3, 4, 1, 0, 3, 3, 1, 0, 3, 1, 1, 3, 1, 4, 3, 0, 4, 3, 3, 3, 1, 1, 0, 3, 1, 0, 2, 0, 4, 3, 4, 1, 0, 4, 4, 1, 1, 4, 4, 4, 2, 3, 4, 1, 3, 3, 0, 3, 0, 4, 2, 4, 3, 3, 1, 4, 4, 1, 0, 2, 2, 0, 3, 4, 0, 2, 3, 3, 0, 3, 0, 3, 1, 4, 0, 3, 4, 2, 1, 1, 0, 3, 0, 0, 0, 1] pubkeycol791 = [2, 3, 3, 4, 2, 3, 1, 4, 3, 2, 1, 2, 4, 2, 3, 2, 0, 2, 1, 1, 0, 4, 0, 4, 3, 2, 0, 1, 0, 4, 1, 0, 0, 3, 3, 4, 2, 2, 3, 4, 2, 2, 4, 2, 1, 3, 4, 0, 4, 0, 0, 0, 3, 0, 0, 3, 0, 3, 3, 2, 4, 2, 3, 4, 1, 2, 1, 0, 0, 4, 0, 4, 2, 0, 2, 1, 1, 4, 0, 2, 4, 3, 2, 0, 2, 3, 2, 1, 2, 2, 3, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 3, 0, 4, 1, 3, 2, 3, 3, 4, 1, 0, 3, 4, 4, 0, 1, 0, 0, 4, 4, 2, 1, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 0, 3, 4, 3, 4, 2, 3, 1, 3, 0, 3, 1, 3, 2, 2, 4, 0, 4, 0, 4, 4, 0, 1, 0, 0, 1, 1, 3, 2, 3, 4, 1, 1, 2, 0, 3, 0, 3, 4, 3, 2, 3, 3, 3, 3, 0, 0, 0, 1, 2, 2, 1, 0, 3, 0, 1, 3, 0, 1, 4, 0, 2, 4, 0, 0, 1, 3, 4, 3, 4, 2, 1, 2, 4, 4, 1, 0, 4, 1, 1, 4, 1, 1, 3, 4, 1, 2, 2, 1, 4, 4, 0, 3, 3, 0, 0, 0, 4, 4, 0, 2, 3, 0, 4, 3, 0, 4, 1, 4, 3, 4, 3, 0, 1, 4, 4, 2, 1, 0, 3, 3, 4, 4, 2, 3, 4, 0, 2, 4, 0, 4, 2, 3, 2, 3, 2, 3, 3, 4, 1, 4, 1, 2, 3, 4, 3, 4, 3, 2, 2, 3, 2, 3, 0, 3, 1, 2, 1, 2, 2, 3, 4, 0, 1, 2, 3, 2, 3, 4, 2, 1, 1, 2, 4, 0, 3, 1, 0, 1, 1, 4, 0, 4, 0, 2, 0, 2, 0, 0, 4, 4, 1, 0, 4, 3, 3, 4, 2, 0, 4, 2, 1, 2, 0, 1, 2, 1, 0, 4, 3, 1, 0, 1, 1, 4, 2, 1, 0, 4, 0, 0, 0, 2, 2, 1, 2, 0, 0, 3, 1, 0, 4, 0, 0, 2, 2, 1, 0, 2, 4, 1, 1, 1, 2, 3, 4, 1, 0, 0, 4, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 3, 0, 3, 0, 1, 4, 3, 2, 4, 4, 1, 1, 3, 2, 0, 4, 1, 1, 3, 0, 1, 0, 3, 3, 3, 0, 3, 1, 3, 2, 0, 4, 3, 1, 2, 2, 0, 2, 1, 1, 3, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 3, 1, 0, 0, 3, 0, 4, 0, 0, 1, 4, 4, 3, 4, 2, 0, 2, 4, 2, 3, 4, 4, 4, 0, 3, 0, 0, 2] pubkeycol792 = [1, 3, 1, 4, 4, 3, 0, 2, 2, 3, 4, 1, 2, 2, 4, 4, 0, 1, 0, 3, 3, 1, 4, 2, 1, 3, 3, 2, 3, 0, 3, 2, 0, 1, 0, 2, 4, 1, 4, 0, 4, 2, 3, 1, 1, 1, 2, 1, 1, 2, 2, 3, 0, 0, 3, 1, 3, 4, 0, 0, 1, 4, 0, 0, 3, 3, 1, 3, 1, 2, 3, 1, 1, 3, 2, 2, 3, 3, 3, 0, 2, 2, 3, 1, 1, 2, 2, 1, 2, 0, 1, 4, 0, 1, 2, 1, 4, 0, 3, 0, 2, 2, 0, 1, 4, 2, 2, 2, 1, 3, 0, 3, 3, 4, 0, 4, 3, 4, 3, 3, 3, 3, 0, 1, 1, 1, 4, 1, 2, 0, 1, 4, 2, 2, 0, 1, 1, 1, 3, 4, 4, 0, 3, 0, 3, 3, 1, 3, 3, 2, 4, 1, 2, 0, 2, 4, 4, 0, 1, 1, 0, 4, 0, 2, 2, 1, 4, 0, 4, 0, 0, 1, 2, 2, 1, 3, 1, 2, 4, 1, 2, 3, 2, 0, 1, 3, 1, 2, 1, 2, 4, 0, 3, 0, 1, 0, 1, 3, 4, 1, 2, 3, 2, 0, 2, 4, 3, 2, 1, 3, 4, 0, 3, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 4, 3, 2, 4, 4, 2, 0, 4, 1, 2, 3, 3, 1, 0, 2, 1, 2, 3, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 4, 3, 3, 3, 4, 1, 1, 3, 3, 2, 3, 4, 1, 1, 3, 2, 4, 1, 1, 2, 0, 2, 1, 4, 3, 3, 2, 3, 2, 0, 3, 1, 1, 2, 2, 2, 0, 3, 2, 0, 1, 4, 3, 2, 2, 0, 2, 3, 2, 3, 1, 3, 1, 1, 0, 0, 0, 2, 2, 0, 3, 0, 2, 1, 1, 3, 0, 0, 2, 3, 3, 4, 2, 2, 2, 4, 1, 0, 4, 0, 4, 3, 0, 4, 4, 1, 3, 1, 1, 2, 4, 1, 2, 4, 0, 3, 3, 4, 4, 3, 4, 1, 1, 4, 1, 0, 0, 3, 1, 0, 0, 3, 3, 0, 0, 2, 4, 2, 4, 1, 1, 0, 3, 1, 4, 0, 1, 4, 2, 3, 2, 0, 0, 1, 4, 4, 1, 1, 4, 1, 4, 0, 1, 2, 3, 4, 4, 4, 2, 1, 2, 0, 2, 2, 3, 4, 4, 3, 4, 1, 2, 0, 1, 3, 0, 3, 1, 0, 2, 1, 2, 4, 0, 0, 3, 3, 1, 4, 4, 4, 2, 4, 0, 2, 2, 0, 0, 2, 3, 0, 4, 4, 4, 2, 4, 2, 3, 3, 0, 4, 4, 2, 3, 2, 3, 0, 4, 2, 3, 0, 0, 0, 0, 1, 0, 1, 4, 4, 1, 0, 2, 2, 2, 0, 3] pubkeycol793 = [1, 1, 1, 0, 1, 0, 3, 3, 1, 4, 1, 1, 0, 2, 0, 1, 4, 3, 1, 2, 4, 2, 3, 1, 1, 2, 1, 4, 2, 2, 0, 0, 2, 3, 4, 4, 1, 0, 0, 0, 2, 3, 2, 1, 3, 1, 4, 4, 3, 1, 0, 3, 1, 4, 1, 4, 2, 3, 1, 0, 1, 4, 1, 2, 0, 2, 3, 3, 4, 3, 2, 3, 4, 4, 1, 1, 3, 1, 0, 4, 4, 1, 2, 1, 3, 1, 2, 3, 2, 1, 1, 4, 0, 1, 4, 0, 1, 4, 3, 1, 1, 2, 3, 2, 3, 4, 3, 4, 4, 4, 0, 2, 3, 1, 0, 3, 3, 4, 0, 1, 2, 1, 2, 4, 4, 0, 4, 3, 0, 2, 1, 1, 3, 1, 2, 2, 1, 1, 0, 4, 0, 3, 3, 2, 3, 3, 3, 4, 4, 1, 0, 1, 1, 3, 3, 1, 0, 3, 2, 3, 0, 1, 2, 3, 4, 4, 4, 2, 3, 4, 4, 1, 4, 1, 2, 0, 1, 3, 1, 2, 2, 0, 4, 0, 2, 3, 0, 1, 0, 0, 4, 3, 3, 1, 3, 2, 1, 0, 2, 4, 1, 4, 0, 3, 4, 1, 1, 4, 1, 0, 0, 3, 2, 2, 0, 2, 4, 0, 2, 0, 0, 1, 4, 1, 0, 2, 4, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 4, 2, 4, 3, 2, 2, 1, 0, 3, 4, 2, 3, 2, 0, 2, 1, 1, 3, 3, 2, 4, 4, 0, 0, 4, 1, 2, 1, 4, 0, 4, 0, 2, 3, 2, 3, 0, 2, 3, 0, 4, 4, 3, 2, 1, 2, 1, 0, 2, 0, 2, 3, 3, 2, 4, 2, 3, 1, 2, 2, 2, 4, 1, 4, 2, 2, 2, 4, 0, 3, 4, 3, 1, 0, 4, 1, 2, 2, 3, 1, 4, 4, 2, 2, 3, 3, 2, 4, 3, 2, 0, 4, 4, 1, 0, 0, 4, 0, 1, 4, 1, 1, 3, 0, 2, 2, 2, 1, 2, 4, 4, 3, 4, 1, 0, 0, 3, 4, 4, 4, 3, 0, 1, 1, 1, 4, 3, 0, 0, 0, 1, 2, 2, 0, 4, 2, 1, 3, 1, 1, 0, 0, 4, 2, 4, 2, 0, 0, 1, 3, 2, 1, 2, 1, 0, 2, 1, 3, 0, 0, 1, 0, 4, 3, 2, 2, 2, 3, 1, 0, 2, 4, 3, 3, 1, 1, 4, 4, 0, 4, 3, 3, 0, 3, 0, 4, 0, 0, 4, 2, 4, 3, 0, 0, 3, 0, 2, 3, 4, 1, 4, 0, 4, 4, 4, 3, 3, 1, 1, 0, 0, 4, 3, 2, 0, 4, 3, 2, 4, 1, 3, 2, 3, 1, 4, 2, 2, 1, 2, 2, 0, 4, 3, 4, 1, 0, 1, 3, 1, 2, 3, 1] pubkeycol794 = [1, 1, 2, 0, 3, 3, 2, 0, 4, 2, 0, 4, 1, 2, 0, 4, 0, 0, 1, 4, 0, 3, 4, 4, 2, 4, 4, 1, 4, 2, 3, 1, 0, 1, 2, 1, 0, 3, 4, 3, 1, 4, 3, 1, 1, 2, 1, 2, 3, 0, 3, 4, 1, 4, 4, 4, 2, 0, 0, 3, 0, 2, 0, 2, 4, 2, 2, 0, 2, 0, 2, 4, 2, 1, 0, 3, 2, 0, 1, 4, 0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 0, 0, 0, 3, 4, 2, 3, 4, 1, 3, 3, 3, 4, 2, 3, 3, 4, 2, 3, 4, 4, 1, 0, 1, 1, 2, 3, 3, 4, 2, 1, 3, 2, 4, 3, 2, 4, 4, 0, 3, 0, 1, 0, 4, 3, 3, 3, 0, 0, 0, 4, 3, 3, 1, 2, 0, 0, 3, 1, 1, 1, 0, 0, 4, 2, 3, 0, 2, 2, 2, 4, 4, 0, 1, 3, 1, 4, 2, 4, 1, 1, 1, 0, 4, 3, 0, 2, 4, 0, 4, 1, 4, 3, 2, 2, 1, 2, 1, 4, 2, 2, 0, 1, 4, 1, 3, 0, 1, 2, 0, 3, 1, 2, 3, 3, 0, 1, 0, 2, 1, 3, 4, 0, 4, 0, 1, 1, 2, 2, 3, 0, 4, 4, 0, 4, 2, 0, 2, 4, 1, 2, 3, 3, 2, 3, 3, 4, 4, 3, 0, 3, 0, 3, 2, 0, 3, 1, 1, 4, 0, 2, 1, 3, 1, 3, 0, 2, 2, 2, 0, 4, 4, 4, 1, 4, 0, 2, 1, 0, 3, 2, 3, 3, 4, 3, 2, 2, 0, 4, 3, 4, 0, 0, 0, 0, 3, 2, 3, 4, 2, 4, 0, 1, 3, 3, 4, 1, 2, 2, 4, 0, 3, 3, 1, 1, 0, 3, 3, 4, 2, 2, 2, 3, 2, 4, 2, 0, 2, 4, 1, 2, 3, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 4, 1, 4, 0, 0, 4, 0, 2, 4, 0, 0, 3, 4, 3, 0, 2, 2, 1, 1, 1, 4, 2, 0, 3, 3, 3, 2, 4, 1, 0, 3, 4, 4, 4, 2, 4, 3, 1, 3, 2, 0, 4, 1, 3, 3, 2, 2, 2, 1, 2, 1, 1, 4, 4, 1, 3, 1, 4, 4, 4, 3, 3, 3, 4, 4, 3, 2, 1, 1, 0, 4, 0, 3, 4, 1, 3, 0, 0, 0, 0, 3, 2, 2, 1, 3, 1, 4, 1, 4, 1, 0, 2, 1, 4, 2, 4, 3, 3, 2, 1, 3, 2, 2, 1, 3, 2, 4, 2, 1, 0, 2, 3, 4, 0, 4, 2, 1, 0, 0, 0, 0, 1, 3, 2, 4, 1, 3, 0, 0, 1, 0, 1, 1, 0, 2, 3, 1, 0, 0, 2, 1, 1, 3, 1, 2, 1, 0, 2] pubkeycol795 = [4, 3, 3, 0, 0, 4, 2, 3, 1, 3, 0, 0, 4, 2, 0, 3, 4, 0, 2, 4, 0, 1, 0, 2, 4, 3, 3, 0, 0, 0, 2, 0, 4, 1, 1, 2, 4, 1, 2, 4, 2, 2, 1, 4, 0, 0, 3, 3, 4, 0, 3, 4, 2, 1, 4, 1, 3, 3, 1, 4, 2, 4, 1, 1, 0, 4, 0, 1, 1, 4, 4, 3, 2, 1, 4, 2, 2, 1, 3, 3, 2, 1, 1, 3, 4, 0, 2, 0, 1, 2, 1, 4, 1, 1, 3, 2, 3, 0, 4, 2, 1, 3, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 1, 0, 1, 3, 4, 2, 2, 2, 1, 1, 4, 2, 0, 3, 3, 3, 2, 2, 0, 0, 4, 3, 2, 2, 1, 4, 0, 4, 0, 4, 2, 0, 4, 2, 2, 2, 3, 1, 0, 3, 1, 2, 4, 2, 4, 4, 2, 3, 1, 3, 3, 2, 1, 2, 3, 2, 0, 1, 0, 0, 0, 3, 0, 3, 1, 2, 0, 4, 1, 1, 4, 0, 2, 1, 2, 0, 1, 0, 2, 4, 2, 3, 4, 2, 1, 4, 1, 4, 1, 2, 1, 2, 3, 4, 3, 3, 4, 1, 1, 0, 1, 3, 1, 0, 3, 3, 2, 3, 4, 3, 2, 1, 4, 0, 0, 0, 0, 2, 4, 3, 3, 0, 3, 3, 1, 4, 0, 1, 4, 2, 1, 0, 3, 1, 0, 0, 1, 2, 3, 3, 3, 2, 0, 4, 1, 1, 4, 4, 2, 4, 1, 3, 1, 1, 2, 4, 0, 3, 4, 3, 2, 4, 1, 4, 1, 0, 2, 4, 3, 2, 4, 4, 1, 4, 3, 2, 2, 3, 2, 2, 4, 2, 4, 4, 1, 1, 1, 4, 2, 2, 2, 3, 3, 3, 3, 2, 3, 4, 1, 0, 1, 1, 1, 2, 4, 3, 2, 2, 2, 0, 2, 3, 1, 1, 0, 1, 2, 3, 3, 4, 3, 4, 3, 0, 2, 0, 2, 3, 4, 1, 2, 1, 3, 3, 4, 2, 3, 3, 3, 0, 2, 2, 3, 3, 3, 3, 1, 2, 3, 3, 3, 1, 1, 4, 3, 0, 4, 0, 4, 0, 3, 3, 1, 3, 3, 1, 2, 4, 0, 3, 1, 3, 0, 3, 2, 4, 4, 4, 4, 0, 4, 2, 3, 3, 4, 1, 1, 1, 2, 1, 0, 0, 2, 0, 3, 4, 1, 3, 3, 2, 0, 1, 4, 4, 3, 0, 1, 4, 3, 4, 0, 1, 2, 3, 4, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 4, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 4, 4, 4, 4, 1, 2, 4, 4, 2, 3, 0, 3, 3, 1, 4, 3, 3, 1, 4, 3, 4, 4, 2, 1, 2, 2, 4, 0, 2, 4] pubkeycol796 = [0, 4, 4, 1, 0, 3, 0, 2, 3, 4, 2, 3, 4, 1, 0, 2, 2, 3, 3, 1, 3, 4, 4, 3, 4, 3, 1, 3, 3, 0, 1, 1, 1, 4, 3, 1, 3, 4, 4, 1, 1, 2, 2, 3, 2, 3, 4, 3, 1, 2, 0, 2, 0, 0, 4, 1, 4, 4, 0, 3, 4, 3, 1, 1, 4, 4, 2, 2, 1, 3, 0, 3, 2, 4, 1, 0, 2, 3, 4, 0, 2, 1, 0, 3, 4, 2, 0, 0, 0, 1, 4, 3, 0, 0, 2, 2, 4, 1, 3, 3, 0, 2, 3, 1, 3, 1, 0, 2, 4, 3, 0, 4, 0, 1, 2, 0, 4, 2, 2, 3, 2, 4, 1, 3, 0, 3, 1, 0, 2, 1, 4, 4, 4, 0, 3, 3, 4, 3, 3, 4, 2, 2, 3, 4, 0, 1, 1, 4, 1, 0, 3, 1, 1, 2, 1, 0, 3, 3, 4, 1, 4, 2, 0, 1, 3, 1, 3, 4, 4, 1, 1, 3, 0, 2, 2, 4, 0, 2, 3, 3, 3, 0, 2, 4, 3, 0, 0, 4, 3, 3, 1, 3, 2, 1, 3, 0, 3, 0, 1, 1, 2, 2, 3, 4, 3, 0, 0, 1, 4, 0, 3, 3, 4, 4, 4, 2, 0, 3, 2, 2, 0, 1, 1, 0, 0, 0, 0, 4, 3, 4, 4, 4, 3, 3, 1, 2, 4, 0, 4, 3, 2, 2, 0, 3, 3, 2, 3, 3, 0, 2, 2, 1, 3, 0, 1, 1, 3, 0, 3, 0, 2, 1, 4, 4, 0, 0, 2, 0, 4, 1, 1, 1, 2, 4, 1, 0, 3, 4, 0, 0, 3, 4, 4, 3, 0, 4, 3, 2, 4, 1, 2, 0, 1, 3, 1, 2, 4, 1, 0, 4, 4, 0, 3, 2, 2, 2, 1, 3, 1, 2, 1, 2, 3, 1, 3, 2, 4, 0, 2, 4, 0, 1, 3, 0, 3, 1, 0, 2, 3, 3, 2, 1, 1, 4, 3, 0, 4, 3, 4, 3, 4, 2, 0, 2, 0, 2, 4, 4, 4, 3, 1, 4, 4, 4, 3, 4, 1, 1, 0, 0, 0, 1, 0, 0, 4, 0, 1, 4, 0, 2, 0, 4, 3, 1, 2, 3, 3, 1, 1, 1, 2, 4, 2, 4, 4, 4, 0, 4, 3, 0, 0, 1, 2, 1, 3, 2, 1, 2, 0, 0, 0, 3, 0, 1, 2, 2, 1, 4, 0, 1, 4, 2, 2, 1, 3, 0, 3, 3, 1, 3, 1, 2, 0, 2, 4, 1, 3, 2, 4, 2, 3, 0, 0, 3, 3, 3, 3, 1, 0, 1, 0, 0, 4, 2, 3, 2, 0, 1, 4, 2, 4, 0, 0, 0, 2, 4, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 4, 0, 3, 3, 2, 1, 3, 0, 0, 3, 3, 1, 4] pubkeycol797 = [4, 0, 4, 2, 4, 1, 1, 2, 1, 0, 1, 4, 2, 4, 2, 1, 3, 1, 4, 1, 3, 4, 0, 4, 1, 0, 0, 1, 3, 4, 0, 1, 2, 4, 4, 2, 2, 3, 2, 2, 4, 3, 2, 3, 2, 3, 1, 4, 4, 3, 0, 0, 3, 2, 0, 3, 3, 2, 1, 0, 4, 0, 2, 3, 4, 0, 4, 0, 2, 0, 3, 4, 0, 2, 3, 2, 0, 3, 3, 0, 1, 0, 2, 2, 1, 3, 1, 1, 4, 1, 1, 2, 2, 3, 0, 3, 1, 1, 3, 1, 4, 4, 4, 2, 3, 3, 0, 4, 1, 2, 0, 4, 2, 4, 0, 4, 2, 1, 3, 1, 4, 1, 0, 3, 0, 2, 4, 0, 2, 2, 1, 3, 3, 4, 3, 4, 1, 2, 0, 3, 1, 4, 2, 3, 1, 0, 2, 4, 3, 4, 3, 4, 4, 0, 1, 3, 2, 2, 1, 4, 0, 1, 4, 0, 0, 2, 0, 4, 2, 0, 2, 0, 3, 1, 3, 1, 0, 2, 1, 0, 3, 0, 0, 3, 3, 4, 1, 1, 2, 4, 1, 1, 4, 4, 4, 4, 1, 0, 0, 4, 0, 3, 4, 3, 2, 2, 4, 4, 1, 4, 3, 1, 0, 4, 3, 3, 3, 2, 3, 3, 2, 0, 4, 3, 4, 2, 0, 0, 0, 3, 4, 1, 3, 3, 0, 1, 3, 2, 1, 3, 3, 2, 4, 4, 0, 0, 0, 3, 0, 3, 2, 2, 1, 0, 4, 1, 2, 0, 0, 0, 3, 3, 0, 2, 3, 4, 1, 4, 0, 3, 4, 3, 4, 1, 1, 4, 1, 3, 0, 4, 2, 1, 3, 4, 4, 3, 1, 1, 0, 2, 2, 3, 2, 0, 2, 4, 3, 4, 1, 4, 1, 4, 3, 4, 3, 2, 1, 2, 3, 4, 1, 0, 1, 2, 4, 4, 4, 3, 3, 4, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 1, 4, 4, 2, 1, 2, 1, 3, 4, 0, 3, 3, 1, 4, 4, 1, 3, 2, 2, 1, 3, 2, 1, 2, 4, 0, 3, 2, 4, 4, 2, 1, 0, 1, 1, 2, 4, 4, 3, 0, 3, 1, 4, 3, 0, 0, 2, 1, 2, 0, 3, 3, 1, 4, 0, 0, 3, 1, 1, 0, 2, 0, 3, 0, 4, 2, 0, 2, 2, 3, 0, 0, 4, 1, 2, 3, 3, 4, 3, 2, 0, 0, 1, 1, 2, 2, 4, 0, 0, 1, 0, 3, 3, 4, 3, 4, 4, 4, 1, 4, 1, 1, 3, 4, 2, 4, 0, 0, 0, 2, 2, 4, 0, 2, 1, 2, 3, 4, 1, 3, 4, 3, 2, 0, 2, 2, 2, 1, 4, 2, 2, 2, 4, 3, 3, 2, 2, 0, 2, 3, 4, 3, 3, 1, 1, 4, 4, 4, 3] pubkeycol798 = [2, 1, 1, 1, 2, 0, 3, 4, 3, 4, 1, 1, 0, 0, 0, 4, 2, 2, 0, 2, 3, 3, 0, 1, 4, 4, 1, 2, 1, 0, 3, 1, 0, 4, 2, 0, 3, 0, 0, 1, 2, 2, 1, 4, 2, 4, 2, 0, 4, 1, 0, 0, 1, 3, 0, 3, 2, 1, 1, 3, 3, 4, 1, 0, 0, 4, 2, 3, 0, 2, 3, 4, 3, 4, 3, 2, 0, 1, 2, 1, 1, 4, 3, 1, 3, 1, 3, 4, 1, 4, 1, 0, 2, 0, 1, 4, 2, 4, 1, 4, 0, 4, 4, 4, 3, 0, 4, 2, 4, 2, 1, 3, 2, 0, 4, 3, 2, 0, 1, 0, 4, 1, 3, 3, 1, 2, 1, 4, 2, 0, 0, 3, 0, 2, 1, 3, 0, 4, 4, 0, 3, 4, 3, 2, 0, 2, 2, 4, 4, 0, 0, 4, 0, 1, 2, 3, 2, 1, 0, 4, 1, 1, 4, 0, 3, 2, 4, 1, 2, 2, 4, 1, 2, 2, 2, 2, 4, 4, 3, 1, 0, 1, 2, 4, 0, 2, 3, 0, 4, 2, 4, 3, 2, 2, 4, 4, 1, 4, 3, 1, 1, 3, 2, 4, 3, 4, 1, 0, 3, 2, 2, 4, 1, 1, 1, 1, 1, 3, 3, 4, 1, 2, 3, 4, 0, 1, 0, 0, 1, 2, 4, 3, 4, 0, 2, 4, 3, 3, 2, 3, 0, 4, 3, 1, 3, 2, 1, 0, 4, 1, 3, 0, 4, 1, 1, 1, 0, 2, 4, 4, 2, 2, 3, 0, 1, 3, 0, 1, 3, 1, 2, 1, 2, 2, 3, 1, 4, 3, 2, 1, 4, 4, 1, 0, 4, 2, 1, 0, 1, 3, 3, 1, 0, 2, 1, 1, 1, 2, 3, 3, 4, 0, 4, 2, 1, 0, 3, 3, 3, 0, 2, 2, 4, 3, 2, 0, 1, 4, 1, 3, 3, 2, 1, 4, 1, 1, 2, 4, 1, 3, 4, 4, 2, 2, 0, 1, 0, 4, 2, 2, 1, 3, 4, 1, 2, 0, 1, 1, 1, 1, 4, 4, 4, 4, 2, 1, 1, 2, 4, 0, 2, 4, 0, 3, 2, 4, 2, 1, 4, 3, 4, 3, 4, 3, 0, 3, 4, 0, 1, 3, 1, 4, 1, 2, 0, 1, 4, 1, 4, 3, 1, 2, 3, 4, 2, 0, 2, 1, 0, 3, 2, 3, 1, 0, 4, 3, 3, 3, 0, 3, 4, 3, 4, 2, 2, 0, 4, 0, 3, 1, 1, 3, 2, 3, 0, 2, 4, 4, 4, 4, 1, 2, 4, 1, 3, 4, 2, 0, 2, 2, 3, 1, 0, 3, 4, 3, 1, 1, 2, 3, 3, 3, 1, 0, 4, 1, 2, 2, 2, 0, 3, 3, 2, 4, 2, 4, 3, 3, 3, 4, 0, 4, 4, 4, 4, 0, 4, 1, 3, 4] pubkeycol799 = [0, 3, 4, 1, 2, 3, 4, 0, 4, 0, 3, 4, 1, 3, 4, 1, 4, 1, 0, 0, 4, 0, 3, 4, 2, 4, 1, 2, 0, 3, 1, 1, 1, 3, 2, 0, 0, 3, 3, 4, 2, 3, 2, 4, 2, 0, 0, 3, 0, 4, 1, 2, 2, 4, 4, 1, 0, 2, 4, 4, 1, 1, 1, 3, 2, 2, 4, 0, 2, 4, 1, 0, 1, 3, 1, 4, 3, 2, 3, 0, 3, 0, 2, 0, 4, 3, 4, 4, 3, 3, 0, 0, 0, 2, 1, 1, 4, 0, 2, 1, 2, 0, 2, 4, 4, 3, 3, 1, 4, 0, 3, 3, 1, 0, 2, 0, 0, 4, 3, 2, 3, 3, 0, 0, 4, 0, 2, 4, 4, 2, 0, 1, 1, 4, 3, 3, 2, 0, 3, 4, 4, 3, 1, 3, 2, 0, 4, 4, 4, 0, 3, 2, 4, 2, 1, 1, 4, 2, 1, 3, 0, 1, 4, 4, 3, 2, 1, 0, 0, 1, 0, 4, 4, 4, 0, 3, 2, 4, 2, 4, 3, 4, 4, 2, 2, 2, 2, 1, 4, 3, 1, 2, 3, 0, 1, 1, 3, 3, 1, 3, 0, 0, 0, 3, 1, 4, 2, 3, 1, 0, 4, 2, 3, 0, 2, 1, 4, 0, 2, 4, 1, 3, 0, 0, 3, 3, 3, 4, 0, 4, 4, 3, 2, 3, 2, 0, 2, 4, 2, 2, 3, 3, 3, 1, 3, 2, 1, 4, 2, 0, 0, 0, 2, 3, 1, 2, 4, 1, 0, 0, 1, 3, 3, 2, 0, 2, 2, 4, 1, 1, 1, 3, 0, 4, 3, 3, 1, 4, 4, 3, 2, 1, 1, 1, 4, 2, 4, 3, 2, 4, 1, 3, 4, 1, 3, 0, 1, 1, 0, 4, 3, 1, 1, 1, 4, 3, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 4, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 3, 0, 0, 0, 3, 1, 3, 0, 0, 4, 2, 0, 4, 0, 1, 0, 2, 4, 2, 3, 3, 2, 3, 2, 1, 3, 1, 3, 2, 2, 1, 1, 1, 4, 0, 2, 2, 0, 2, 1, 1, 4, 1, 1, 0, 0, 2, 1, 0, 0, 0, 4, 3, 2, 2, 3, 4, 2, 2, 3, 2, 4, 0, 0, 1, 2, 3, 0, 1, 0, 2, 2, 0, 4, 4, 1, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 2, 1, 3, 4, 0, 0, 0, 4, 1, 1, 2, 1, 4, 4, 2, 1, 3, 1, 3, 2, 1, 0, 4, 3, 0, 2, 1, 2, 1, 4, 4, 3, 0, 1, 0, 4, 3, 2, 4, 0, 0, 4, 1, 2, 4, 0, 3, 4, 3, 0, 0, 4, 4, 0, 1, 4, 3, 0, 1, 1, 0, 1, 2, 3, 1] pubkeycol800 = [1, 1, 3, 4, 2, 0, 1, 4, 1, 3, 3, 3, 1, 1, 3, 0, 2, 1, 2, 0, 0, 0, 3, 0, 3, 0, 4, 0, 0, 2, 2, 3, 3, 3, 2, 2, 3, 2, 0, 2, 3, 1, 1, 4, 0, 1, 4, 3, 3, 0, 0, 4, 1, 1, 1, 0, 3, 4, 4, 4, 0, 2, 3, 3, 3, 0, 0, 0, 0, 1, 2, 0, 3, 4, 1, 1, 1, 4, 3, 0, 2, 2, 2, 0, 1, 2, 2, 2, 4, 2, 3, 0, 3, 1, 0, 3, 1, 4, 2, 1, 1, 0, 4, 1, 3, 3, 2, 0, 0, 1, 2, 1, 4, 3, 1, 0, 3, 4, 4, 0, 4, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 4, 0, 4, 4, 1, 2, 4, 4, 0, 3, 2, 2, 1, 4, 4, 4, 0, 2, 0, 1, 1, 1, 1, 0, 3, 0, 4, 0, 1, 1, 3, 4, 2, 4, 2, 3, 1, 3, 2, 4, 0, 0, 4, 2, 1, 0, 2, 4, 1, 0, 3, 0, 4, 4, 4, 3, 4, 1, 3, 0, 4, 0, 4, 2, 0, 0, 4, 0, 0, 3, 2, 1, 0, 4, 0, 2, 1, 3, 0, 1, 0, 3, 4, 3, 3, 3, 2, 2, 0, 4, 2, 3, 1, 0, 3, 2, 0, 0, 0, 2, 0, 0, 1, 3, 1, 1, 1, 2, 1, 3, 0, 2, 1, 1, 2, 2, 1, 3, 0, 4, 4, 1, 3, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 4, 4, 3, 1, 2, 0, 2, 1, 0, 3, 4, 2, 0, 1, 2, 3, 4, 3, 1, 4, 2, 4, 1, 0, 2, 2, 0, 0, 1, 0, 4, 2, 3, 2, 1, 1, 4, 4, 4, 1, 0, 2, 3, 3, 3, 4, 3, 1, 0, 3, 1, 0, 4, 0, 1, 3, 0, 0, 1, 0, 1, 2, 3, 2, 3, 2, 1, 1, 2, 3, 1, 1, 4, 3, 1, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 3, 3, 4, 1, 4, 1, 3, 0, 4, 4, 2, 1, 2, 4, 1, 1, 0, 0, 2, 2, 3, 4, 0, 4, 3, 1, 2, 2, 4, 1, 2, 4, 1, 0, 1, 4, 2, 3, 3, 3, 3, 0, 3, 0, 4, 3, 3, 0, 3, 0, 1, 3, 0, 1, 4, 1, 3, 0, 3, 0, 3, 4, 2, 2, 2, 2, 3, 3, 4, 4, 3, 4, 4, 1, 0, 0, 0, 4, 2, 1, 3, 1, 2, 4, 0, 0, 0, 0, 4, 0, 1, 3, 2, 0, 3, 4, 4, 0, 0, 0, 2, 0, 3, 1, 2, 2, 2, 2, 1, 1, 3, 1, 1, 3, 1, 0, 4] pubkeycol801 = [4, 2, 1, 0, 3, 1, 4, 0, 1, 2, 4, 3, 4, 2, 4, 2, 0, 2, 0, 2, 0, 1, 1, 4, 1, 3, 0, 3, 0, 2, 4, 2, 4, 0, 0, 1, 3, 3, 3, 4, 2, 1, 1, 1, 1, 1, 3, 4, 0, 4, 0, 3, 0, 3, 1, 1, 4, 0, 4, 1, 0, 1, 2, 0, 3, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 3, 2, 1, 3, 1, 2, 4, 2, 1, 4, 4, 2, 4, 3, 1, 1, 0, 4, 3, 0, 1, 4, 3, 3, 0, 4, 0, 0, 4, 0, 2, 2, 1, 3, 1, 0, 1, 3, 4, 4, 0, 1, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 4, 0, 2, 4, 1, 2, 4, 4, 3, 2, 4, 0, 3, 2, 0, 3, 3, 0, 2, 1, 4, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 3, 0, 1, 3, 3, 0, 0, 2, 0, 3, 3, 0, 0, 0, 0, 4, 2, 0, 3, 3, 3, 2, 3, 4, 1, 1, 3, 2, 4, 1, 2, 4, 1, 0, 1, 4, 1, 3, 1, 4, 2, 2, 4, 1, 0, 3, 3, 3, 2, 0, 0, 4, 4, 2, 2, 2, 4, 2, 2, 3, 3, 0, 3, 1, 2, 4, 2, 2, 3, 2, 3, 2, 1, 4, 2, 1, 3, 3, 3, 3, 3, 0, 0, 2, 1, 4, 1, 1, 0, 3, 1, 0, 0, 1, 2, 1, 2, 3, 0, 1, 0, 4, 3, 2, 2, 4, 0, 4, 1, 1, 0, 3, 4, 4, 0, 1, 0, 2, 4, 1, 4, 4, 3, 2, 1, 4, 2, 0, 0, 1, 2, 0, 1, 1, 4, 4, 0, 4, 2, 3, 1, 1, 3, 0, 3, 0, 0, 4, 3, 4, 4, 1, 1, 3, 2, 2, 1, 4, 1, 3, 1, 2, 1, 0, 0, 3, 4, 4, 0, 2, 0, 3, 0, 3, 3, 1, 0, 2, 4, 3, 1, 1, 3, 1, 3, 0, 4, 3, 2, 1, 3, 0, 2, 0, 3, 0, 3, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 4, 2, 0, 3, 0, 1, 1, 4, 1, 0, 3, 2, 0, 0, 4, 3, 4, 3, 3, 2, 2, 0, 0, 0, 1, 4, 2, 1, 1, 4, 0, 1, 4, 2, 2, 2, 0, 3, 1, 2, 1, 2, 2, 4, 1, 4, 0, 1, 4, 4, 0, 1, 4, 2, 4, 1, 0, 1, 4, 3, 1, 0, 3, 3, 3, 1, 4, 4, 2, 2, 4, 4, 2, 0, 0, 1, 0, 3, 4, 0, 1, 0, 0, 0, 4, 0, 0, 4, 2, 3, 4, 2, 1, 1, 3, 4, 3, 1, 0, 2, 1, 4, 4, 4, 2, 2, 4, 0, 3, 1, 2, 2, 1] pubkeycol802 = [2, 3, 1, 4, 2, 2, 0, 3, 4, 0, 4, 1, 0, 1, 1, 2, 1, 3, 1, 3, 1, 3, 4, 4, 2, 3, 1, 4, 4, 4, 0, 2, 3, 0, 4, 1, 0, 4, 3, 2, 1, 1, 1, 4, 4, 1, 0, 3, 0, 1, 0, 3, 1, 3, 3, 1, 3, 2, 3, 3, 0, 0, 0, 0, 3, 4, 2, 2, 3, 0, 0, 1, 1, 2, 0, 1, 0, 4, 0, 0, 4, 1, 3, 3, 4, 2, 4, 4, 3, 1, 3, 3, 1, 4, 4, 4, 2, 0, 4, 4, 1, 4, 2, 1, 4, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 0, 1, 1, 3, 2, 0, 4, 2, 2, 1, 4, 3, 1, 0, 0, 2, 0, 3, 3, 3, 1, 0, 2, 3, 2, 2, 3, 3, 0, 1, 3, 3, 2, 1, 0, 3, 2, 3, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 2, 4, 4, 1, 4, 3, 3, 4, 0, 1, 1, 1, 4, 3, 2, 0, 0, 4, 0, 2, 4, 4, 1, 3, 1, 3, 1, 0, 4, 0, 0, 2, 0, 1, 0, 1, 1, 2, 3, 0, 2, 1, 4, 2, 1, 3, 3, 1, 0, 2, 4, 4, 2, 3, 3, 3, 1, 0, 3, 1, 3, 4, 3, 1, 4, 0, 4, 1, 3, 2, 2, 4, 4, 0, 3, 0, 1, 4, 2, 4, 2, 2, 0, 3, 3, 0, 0, 3, 2, 4, 0, 0, 4, 3, 0, 0, 4, 2, 4, 2, 1, 4, 1, 3, 3, 0, 2, 1, 3, 1, 3, 0, 2, 1, 3, 2, 3, 2, 3, 3, 0, 4, 2, 4, 2, 3, 0, 2, 4, 4, 2, 0, 2, 3, 3, 1, 0, 2, 4, 3, 4, 1, 1, 0, 0, 4, 1, 0, 0, 0, 3, 4, 0, 4, 3, 1, 0, 1, 1, 2, 1, 4, 3, 1, 3, 4, 0, 0, 0, 1, 3, 0, 0, 3, 2, 0, 1, 1, 2, 3, 1, 1, 0, 3, 1, 4, 2, 4, 2, 3, 1, 2, 0, 3, 4, 0, 0, 4, 0, 3, 0, 2, 0, 2, 0, 0, 0, 4, 1, 3, 2, 0, 4, 2, 4, 4, 1, 4, 1, 2, 4, 0, 0, 2, 4, 1, 0, 1, 2, 3, 3, 3, 0, 4, 3, 2, 4, 0, 4, 3, 3, 0, 3, 4, 0, 3, 3, 2, 4, 4, 0, 3, 0, 1, 4, 3, 3, 0, 3, 4, 0, 1, 4, 4, 4, 1, 2, 2, 0, 4, 3, 2, 0, 4, 2, 2, 4, 4, 2, 0, 0, 3, 1, 3, 3, 0, 0, 2, 1, 4, 4, 4, 4, 1, 0, 1, 4, 1, 3, 4, 3, 0, 4, 0, 2, 0, 1, 0, 0, 1, 3, 0, 0, 2, 4] pubkeycol803 = [3, 3, 2, 1, 2, 2, 3, 3, 2, 1, 4, 4, 4, 0, 0, 0, 4, 3, 0, 1, 4, 2, 1, 3, 2, 3, 0, 2, 4, 3, 3, 2, 3, 2, 2, 3, 4, 4, 0, 2, 3, 4, 1, 1, 3, 4, 4, 0, 2, 1, 3, 0, 0, 0, 4, 4, 0, 2, 4, 2, 4, 4, 1, 1, 3, 3, 3, 0, 4, 2, 1, 3, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 3, 3, 0, 0, 4, 0, 1, 4, 4, 4, 3, 2, 0, 3, 2, 0, 2, 1, 3, 1, 0, 4, 3, 1, 3, 0, 2, 1, 2, 4, 2, 1, 1, 1, 1, 0, 1, 4, 3, 2, 1, 3, 0, 4, 2, 1, 3, 3, 0, 2, 3, 1, 2, 3, 3, 4, 0, 3, 0, 4, 3, 3, 0, 2, 4, 2, 3, 0, 3, 2, 4, 3, 0, 4, 0, 3, 2, 4, 4, 2, 4, 1, 3, 1, 4, 4, 3, 0, 3, 1, 0, 3, 1, 4, 4, 0, 4, 0, 0, 3, 4, 3, 0, 0, 4, 3, 4, 0, 4, 0, 2, 0, 4, 2, 1, 2, 2, 0, 2, 2, 1, 1, 4, 0, 4, 4, 2, 0, 3, 3, 4, 2, 2, 1, 3, 2, 3, 1, 1, 4, 3, 4, 0, 4, 0, 2, 4, 1, 4, 2, 1, 2, 2, 4, 1, 4, 0, 0, 2, 4, 4, 0, 1, 0, 3, 3, 2, 4, 0, 3, 3, 0, 2, 2, 4, 2, 1, 2, 2, 4, 3, 1, 3, 1, 4, 2, 2, 2, 3, 2, 1, 4, 0, 3, 4, 3, 2, 0, 2, 4, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 0, 0, 4, 1, 1, 1, 3, 4, 0, 1, 2, 2, 3, 0, 1, 1, 1, 2, 2, 2, 3, 2, 3, 1, 1, 1, 1, 4, 3, 0, 2, 1, 4, 0, 4, 0, 4, 1, 4, 2, 3, 3, 0, 3, 4, 2, 0, 0, 2, 3, 3, 2, 0, 2, 0, 2, 4, 1, 3, 3, 1, 0, 1, 4, 2, 2, 1, 2, 1, 2, 0, 4, 3, 4, 2, 4, 3, 1, 0, 0, 3, 2, 4, 0, 0, 1, 1, 4, 2, 3, 0, 0, 2, 0, 2, 3, 4, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 3, 2, 2, 1, 3, 2, 2, 3, 2, 1, 3, 3, 2, 1, 3, 2, 3, 0, 1, 1, 3, 0, 3, 0, 2, 3, 2, 1, 2, 3, 4, 0, 2, 4, 1, 3, 4, 0, 3, 0, 0, 2, 3, 3, 1, 3, 4, 2, 1, 2, 1, 3, 0, 3, 1, 2, 4, 0, 1, 0, 4, 3, 3, 3, 1, 1, 1, 1, 4, 3, 2, 2, 1, 2, 4, 0, 2, 0, 2, 3] pubkeycol804 = [2, 3, 4, 3, 1, 3, 1, 3, 4, 0, 0, 0, 4, 4, 4, 0, 2, 0, 4, 3, 4, 4, 4, 4, 4, 2, 0, 2, 3, 4, 2, 4, 2, 0, 1, 4, 2, 4, 4, 3, 4, 1, 1, 4, 1, 1, 4, 0, 1, 1, 1, 3, 4, 3, 1, 1, 3, 1, 1, 4, 2, 1, 4, 0, 4, 2, 0, 0, 4, 4, 0, 3, 2, 2, 2, 1, 1, 1, 2, 3, 4, 4, 1, 2, 1, 2, 3, 1, 3, 2, 2, 0, 0, 4, 1, 1, 3, 0, 0, 1, 2, 1, 2, 2, 1, 1, 4, 2, 3, 1, 3, 3, 3, 0, 4, 1, 4, 2, 0, 3, 1, 1, 0, 3, 1, 3, 2, 1, 2, 3, 2, 4, 2, 2, 2, 1, 0, 4, 2, 1, 0, 1, 0, 1, 4, 4, 3, 2, 0, 0, 0, 4, 1, 3, 4, 2, 3, 2, 4, 3, 4, 4, 1, 2, 2, 2, 2, 1, 4, 1, 0, 0, 3, 1, 3, 2, 1, 4, 4, 4, 4, 0, 0, 0, 3, 0, 2, 3, 3, 1, 1, 3, 1, 1, 0, 0, 4, 0, 4, 3, 1, 0, 4, 3, 1, 3, 3, 2, 2, 2, 3, 3, 1, 2, 4, 0, 3, 0, 0, 3, 0, 3, 3, 4, 2, 0, 2, 1, 3, 0, 4, 3, 1, 0, 4, 2, 2, 3, 3, 4, 2, 2, 0, 4, 1, 0, 1, 1, 4, 1, 4, 0, 3, 4, 4, 0, 1, 1, 0, 2, 1, 0, 3, 0, 1, 0, 0, 4, 3, 1, 4, 3, 4, 4, 3, 0, 1, 1, 4, 1, 2, 1, 2, 3, 1, 1, 2, 3, 2, 4, 1, 0, 3, 1, 4, 1, 1, 4, 3, 3, 1, 0, 2, 2, 1, 3, 0, 4, 2, 2, 2, 4, 3, 2, 2, 1, 1, 0, 3, 0, 3, 0, 0, 4, 4, 3, 2, 2, 1, 3, 1, 0, 2, 4, 3, 1, 0, 0, 4, 4, 0, 3, 1, 0, 4, 0, 3, 4, 0, 3, 3, 0, 0, 0, 0, 4, 3, 0, 1, 0, 0, 2, 1, 0, 1, 4, 3, 2, 2, 1, 4, 3, 4, 4, 4, 4, 1, 2, 4, 0, 4, 3, 0, 3, 3, 0, 0, 1, 1, 4, 4, 2, 1, 3, 1, 4, 0, 2, 0, 3, 4, 4, 1, 4, 1, 2, 4, 4, 1, 2, 1, 3, 0, 2, 3, 0, 4, 1, 3, 0, 2, 3, 3, 2, 1, 3, 1, 4, 0, 3, 3, 4, 2, 2, 3, 4, 1, 4, 1, 4, 4, 1, 3, 1, 4, 3, 1, 2, 1, 1, 2, 2, 4, 0, 2, 3, 1, 0, 3, 3, 1, 0, 1, 4, 1, 2, 4, 3, 0, 4, 1, 3, 4, 4, 1, 3, 2, 0, 4, 0] pubkeycol805 = [3, 0, 1, 3, 2, 1, 4, 3, 2, 2, 4, 3, 1, 0, 4, 1, 3, 1, 4, 4, 0, 1, 0, 4, 0, 3, 1, 1, 2, 3, 3, 3, 1, 4, 0, 4, 1, 3, 3, 1, 3, 0, 1, 1, 3, 2, 1, 4, 1, 2, 0, 1, 4, 1, 2, 1, 3, 0, 0, 2, 2, 1, 4, 2, 0, 4, 3, 3, 0, 1, 1, 1, 0, 0, 2, 4, 0, 2, 4, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 4, 2, 2, 4, 1, 0, 3, 0, 0, 4, 0, 3, 4, 1, 0, 2, 3, 3, 4, 4, 2, 1, 0, 3, 3, 0, 2, 2, 3, 3, 2, 2, 1, 4, 1, 4, 0, 0, 0, 3, 0, 4, 4, 0, 0, 3, 4, 1, 4, 4, 3, 0, 3, 0, 0, 0, 0, 2, 2, 3, 0, 4, 2, 3, 4, 3, 2, 1, 4, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 4, 2, 3, 2, 3, 4, 4, 3, 1, 4, 4, 2, 3, 0, 0, 0, 1, 0, 0, 0, 3, 1, 0, 0, 2, 1, 3, 2, 4, 3, 0, 3, 0, 2, 3, 1, 2, 0, 1, 3, 1, 2, 2, 2, 1, 1, 3, 3, 0, 3, 2, 3, 4, 1, 0, 1, 0, 3, 0, 4, 3, 1, 0, 1, 4, 0, 1, 3, 1, 1, 4, 0, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 0, 1, 4, 0, 0, 3, 4, 0, 1, 1, 1, 0, 0, 2, 2, 0, 4, 4, 4, 1, 4, 2, 3, 4, 3, 0, 0, 1, 3, 3, 0, 4, 1, 1, 4, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 4, 1, 0, 3, 1, 0, 1, 2, 0, 3, 3, 3, 3, 1, 1, 3, 1, 2, 4, 0, 3, 2, 4, 2, 3, 3, 4, 3, 4, 2, 3, 2, 1, 3, 0, 0, 4, 3, 2, 4, 4, 4, 3, 0, 2, 0, 0, 1, 3, 3, 2, 3, 0, 1, 4, 0, 2, 4, 3, 1, 2, 3, 0, 4, 3, 0, 1, 2, 2, 1, 1, 1, 4, 2, 4, 1, 2, 3, 3, 3, 2, 4, 0, 0, 3, 2, 2, 1, 2, 3, 3, 4, 2, 0, 1, 1, 0, 2, 3, 1, 1, 2, 2, 0, 1, 1, 4, 4, 1, 4, 4, 1, 3, 0, 4, 2, 2, 2, 0, 4, 4, 1, 0, 1, 0, 0, 3, 0, 2, 2, 1, 1, 0, 2, 3, 2, 2, 2, 1, 4, 4, 3, 1, 2, 3, 3, 3, 1, 1, 3, 0, 2, 2, 1, 0, 0, 1, 3, 1, 0, 0, 0, 2, 1, 3, 0, 2, 0, 2, 4, 1, 3, 0, 3, 0, 4, 4, 4, 4, 2, 3] pubkeycol806 = [4, 3, 1, 4, 1, 2, 1, 1, 2, 3, 1, 2, 0, 4, 4, 0, 0, 3, 0, 2, 3, 1, 1, 0, 4, 3, 1, 0, 2, 0, 4, 0, 3, 0, 0, 2, 0, 2, 4, 4, 4, 4, 1, 2, 3, 2, 4, 1, 4, 1, 0, 2, 4, 3, 2, 2, 2, 1, 1, 1, 2, 0, 2, 3, 1, 0, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 4, 1, 1, 4, 1, 3, 0, 4, 4, 1, 0, 1, 4, 1, 0, 0, 4, 1, 1, 4, 0, 4, 3, 2, 3, 0, 4, 4, 1, 0, 3, 4, 2, 3, 1, 0, 0, 4, 0, 0, 3, 1, 4, 4, 4, 1, 3, 0, 2, 0, 0, 1, 4, 0, 4, 1, 2, 2, 1, 4, 2, 1, 2, 2, 4, 1, 0, 3, 1, 0, 1, 4, 1, 2, 0, 4, 0, 3, 3, 0, 0, 1, 0, 2, 3, 4, 4, 3, 2, 0, 1, 0, 4, 2, 4, 4, 2, 4, 0, 0, 4, 1, 2, 4, 1, 0, 2, 4, 2, 3, 2, 0, 3, 1, 1, 0, 4, 1, 3, 4, 3, 0, 3, 3, 3, 3, 0, 3, 1, 4, 2, 0, 4, 4, 0, 4, 0, 2, 1, 1, 3, 2, 1, 0, 2, 0, 3, 0, 1, 4, 3, 0, 0, 4, 4, 3, 4, 0, 1, 3, 4, 1, 2, 3, 2, 1, 3, 3, 0, 2, 3, 3, 2, 4, 3, 3, 4, 3, 2, 0, 2, 1, 3, 0, 1, 1, 2, 2, 4, 2, 3, 1, 4, 1, 3, 0, 4, 3, 4, 3, 2, 1, 4, 0, 2, 1, 2, 1, 0, 3, 4, 3, 2, 3, 0, 3, 0, 4, 0, 4, 4, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 3, 0, 1, 2, 0, 0, 4, 2, 0, 0, 1, 4, 0, 4, 0, 4, 2, 4, 2, 4, 0, 2, 0, 2, 0, 3, 2, 1, 0, 1, 4, 3, 3, 3, 4, 3, 2, 1, 2, 2, 2, 0, 1, 4, 2, 0, 4, 4, 1, 3, 1, 0, 0, 1, 4, 1, 0, 2, 0, 0, 2, 4, 2, 3, 0, 1, 4, 3, 4, 2, 3, 4, 0, 1, 1, 4, 4, 0, 4, 2, 0, 2, 0, 1, 0, 2, 3, 2, 4, 4, 4, 2, 3, 1, 0, 2, 4, 3, 1, 2, 2, 3, 2, 4, 4, 3, 1, 0, 4, 3, 0, 0, 2, 3, 1, 0, 0, 1, 3, 0, 0, 1, 1, 3, 3, 4, 4, 4, 0, 0, 1, 4, 4, 1, 1, 3, 1, 4, 0, 0, 0, 1, 1, 0, 0, 1, 3, 2, 0, 3, 1, 0, 4, 2, 0, 2, 4, 1, 3, 1, 2, 0, 3, 3, 4, 4] pubkeycol807 = [2, 3, 0, 3, 1, 3, 0, 2, 2, 2, 4, 0, 3, 4, 2, 0, 2, 3, 1, 0, 4, 0, 0, 2, 4, 1, 2, 0, 4, 3, 4, 4, 4, 3, 1, 0, 2, 3, 1, 4, 4, 1, 1, 4, 2, 2, 2, 0, 1, 0, 4, 3, 1, 0, 2, 3, 1, 0, 0, 3, 3, 3, 1, 4, 1, 2, 4, 1, 4, 4, 2, 0, 3, 1, 2, 2, 0, 3, 0, 4, 2, 2, 2, 4, 1, 1, 4, 0, 2, 0, 4, 2, 4, 0, 4, 0, 3, 4, 0, 1, 0, 3, 2, 3, 2, 4, 3, 1, 3, 4, 3, 2, 1, 0, 3, 3, 2, 3, 2, 0, 2, 0, 0, 4, 1, 2, 3, 1, 0, 2, 1, 4, 0, 2, 0, 1, 1, 0, 1, 1, 2, 4, 4, 4, 0, 2, 3, 2, 2, 4, 3, 2, 2, 0, 3, 3, 3, 2, 3, 0, 1, 4, 4, 2, 2, 4, 3, 0, 2, 4, 3, 0, 2, 0, 4, 3, 2, 0, 1, 3, 4, 1, 2, 3, 3, 4, 4, 2, 0, 0, 2, 2, 0, 2, 0, 3, 2, 2, 3, 2, 1, 0, 2, 3, 3, 4, 0, 2, 0, 0, 3, 2, 3, 4, 1, 4, 0, 3, 1, 4, 1, 0, 0, 3, 0, 1, 3, 1, 0, 4, 0, 1, 0, 0, 4, 4, 2, 3, 3, 2, 3, 3, 2, 3, 4, 0, 1, 0, 4, 0, 4, 1, 1, 1, 4, 0, 2, 4, 4, 0, 4, 4, 4, 0, 2, 4, 3, 3, 2, 3, 2, 0, 0, 3, 3, 0, 1, 0, 3, 1, 2, 0, 1, 3, 1, 1, 2, 1, 0, 1, 2, 2, 0, 4, 2, 0, 2, 1, 4, 4, 2, 1, 2, 1, 4, 2, 4, 0, 4, 2, 2, 1, 4, 1, 2, 0, 4, 1, 3, 0, 2, 3, 4, 2, 0, 1, 3, 1, 3, 0, 2, 0, 3, 0, 4, 4, 3, 1, 2, 3, 2, 1, 3, 3, 2, 0, 0, 2, 1, 0, 0, 2, 4, 0, 4, 3, 4, 4, 3, 4, 4, 1, 0, 1, 3, 1, 2, 3, 2, 1, 3, 3, 1, 1, 0, 4, 4, 4, 2, 1, 3, 3, 0, 2, 3, 4, 4, 3, 2, 0, 1, 4, 4, 2, 2, 0, 3, 2, 0, 4, 1, 2, 3, 0, 3, 1, 3, 1, 4, 4, 3, 0, 1, 4, 1, 1, 3, 4, 2, 4, 4, 3, 3, 3, 4, 2, 3, 2, 1, 4, 3, 1, 0, 0, 4, 3, 0, 0, 3, 0, 3, 0, 4, 2, 0, 1, 0, 0, 3, 0, 4, 0, 3, 3, 0, 3, 2, 0, 4, 3, 2, 0, 0, 1, 2, 1, 2, 4, 1, 3, 3, 2, 1, 4, 2, 3, 0, 0, 1, 1] pubkeycol808 = [1, 2, 0, 2, 1, 2, 1, 1, 4, 2, 0, 4, 0, 3, 3, 4, 0, 1, 3, 2, 1, 3, 0, 1, 4, 2, 3, 4, 4, 2, 4, 2, 4, 3, 0, 2, 0, 2, 3, 4, 1, 1, 1, 0, 4, 0, 2, 2, 0, 1, 3, 3, 4, 3, 4, 3, 3, 0, 3, 1, 4, 2, 2, 3, 1, 0, 4, 1, 1, 4, 1, 2, 0, 4, 4, 2, 4, 3, 1, 4, 4, 3, 4, 4, 1, 4, 3, 1, 2, 2, 3, 3, 0, 4, 1, 2, 1, 3, 2, 2, 2, 2, 4, 0, 1, 4, 3, 0, 0, 1, 2, 0, 0, 1, 0, 2, 3, 1, 0, 4, 1, 1, 2, 0, 4, 2, 4, 3, 3, 4, 2, 4, 4, 4, 3, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 3, 2, 4, 2, 1, 0, 1, 0, 3, 1, 2, 4, 0, 0, 1, 0, 4, 2, 2, 1, 3, 3, 1, 4, 1, 0, 3, 3, 0, 1, 0, 1, 1, 1, 3, 1, 3, 2, 0, 0, 4, 3, 2, 2, 1, 3, 2, 1, 0, 0, 2, 2, 3, 1, 4, 3, 0, 1, 3, 3, 4, 2, 4, 4, 2, 3, 0, 4, 4, 2, 2, 2, 0, 0, 3, 1, 4, 2, 4, 4, 3, 0, 3, 0, 0, 1, 1, 4, 4, 4, 3, 4, 3, 4, 4, 4, 2, 0, 2, 2, 1, 2, 2, 4, 0, 1, 4, 1, 0, 1, 4, 0, 1, 4, 2, 4, 1, 2, 2, 2, 3, 3, 4, 1, 4, 3, 2, 2, 4, 2, 3, 2, 1, 3, 2, 4, 0, 0, 0, 1, 2, 0, 4, 3, 3, 0, 1, 3, 0, 1, 0, 1, 1, 0, 4, 1, 4, 0, 2, 2, 2, 1, 1, 0, 1, 1, 4, 4, 2, 0, 1, 2, 3, 4, 0, 1, 1, 4, 4, 4, 1, 0, 3, 2, 0, 2, 2, 1, 4, 0, 4, 4, 0, 0, 4, 0, 3, 4, 4, 0, 0, 1, 2, 1, 3, 2, 2, 3, 3, 1, 3, 3, 4, 2, 0, 4, 2, 0, 1, 0, 2, 4, 2, 2, 1, 0, 1, 3, 2, 3, 3, 2, 1, 2, 2, 0, 0, 3, 2, 2, 0, 2, 4, 3, 2, 3, 0, 2, 1, 1, 1, 2, 3, 4, 0, 4, 0, 3, 3, 4, 1, 4, 3, 0, 4, 0, 0, 1, 0, 2, 3, 2, 3, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 0, 4, 1, 0, 4, 3, 4, 2, 1, 0, 3, 1, 1, 3, 4, 1, 1, 2, 3, 1, 2, 1, 0, 2, 3, 3, 4, 3, 4, 2, 0, 4, 2, 1, 4, 3, 3, 2, 1, 4, 2, 4, 3, 4, 2, 1, 4, 2, 4, 3, 0, 0] pubkeycol809 = [4, 4, 4, 1, 1, 2, 4, 2, 3, 0, 3, 3, 3, 4, 0, 2, 2, 2, 2, 3, 3, 0, 4, 1, 0, 4, 2, 1, 2, 3, 3, 4, 4, 0, 1, 3, 4, 4, 4, 2, 4, 3, 3, 1, 2, 3, 2, 4, 1, 3, 0, 4, 1, 2, 0, 0, 2, 3, 4, 3, 3, 3, 0, 2, 3, 4, 2, 0, 2, 1, 1, 0, 4, 2, 1, 4, 3, 0, 2, 4, 2, 4, 3, 1, 0, 2, 3, 3, 0, 3, 4, 1, 2, 4, 2, 1, 1, 1, 2, 1, 0, 4, 3, 2, 1, 1, 3, 1, 1, 1, 2, 3, 3, 3, 2, 0, 1, 3, 2, 1, 1, 4, 3, 3, 1, 1, 3, 1, 1, 4, 3, 3, 2, 1, 0, 1, 2, 3, 4, 0, 1, 0, 2, 3, 4, 0, 0, 3, 3, 4, 1, 1, 1, 0, 4, 0, 1, 2, 1, 1, 2, 1, 3, 2, 4, 4, 4, 3, 4, 1, 2, 1, 1, 2, 1, 3, 4, 2, 2, 1, 0, 0, 1, 4, 4, 4, 0, 3, 2, 2, 4, 2, 0, 4, 3, 4, 4, 0, 4, 2, 4, 3, 3, 0, 2, 2, 1, 2, 4, 4, 0, 4, 0, 3, 0, 0, 4, 3, 4, 0, 2, 0, 3, 4, 1, 2, 2, 0, 2, 4, 2, 1, 2, 4, 3, 2, 0, 3, 3, 0, 0, 2, 3, 1, 3, 1, 1, 1, 2, 3, 4, 0, 1, 4, 2, 2, 0, 0, 0, 3, 3, 2, 3, 0, 3, 2, 2, 1, 2, 1, 1, 4, 1, 0, 4, 0, 2, 4, 0, 1, 1, 1, 0, 4, 4, 1, 3, 4, 1, 3, 1, 0, 2, 3, 4, 3, 2, 4, 4, 1, 2, 1, 2, 2, 3, 4, 3, 0, 4, 3, 2, 4, 0, 2, 0, 0, 4, 1, 1, 0, 2, 4, 2, 3, 4, 3, 2, 0, 2, 0, 1, 2, 2, 4, 2, 3, 1, 3, 4, 0, 2, 2, 0, 4, 1, 4, 0, 1, 1, 4, 0, 2, 1, 1, 2, 4, 2, 3, 4, 3, 3, 2, 4, 0, 0, 2, 3, 2, 3, 0, 3, 4, 2, 0, 2, 3, 3, 1, 3, 2, 0, 4, 0, 2, 3, 2, 1, 4, 2, 3, 1, 3, 2, 4, 2, 4, 2, 2, 4, 4, 2, 2, 1, 4, 1, 2, 0, 4, 4, 1, 1, 0, 2, 3, 2, 2, 3, 0, 4, 3, 1, 4, 0, 4, 1, 1, 4, 0, 3, 4, 2, 3, 0, 2, 2, 3, 2, 4, 1, 1, 3, 1, 4, 1, 2, 1, 1, 2, 0, 0, 3, 0, 1, 0, 0, 4, 2, 0, 3, 4, 2, 3, 0, 1, 0, 4, 0, 3, 4, 0, 0, 1, 3, 2, 2, 3, 2, 3, 1, 3] pubkeycol810 = [1, 2, 0, 1, 2, 4, 0, 4, 2, 4, 3, 4, 2, 1, 4, 0, 1, 0, 2, 0, 3, 2, 3, 4, 3, 2, 2, 0, 4, 4, 3, 0, 4, 3, 3, 3, 2, 3, 0, 0, 3, 0, 1, 3, 1, 0, 4, 2, 4, 4, 3, 3, 0, 1, 0, 1, 0, 4, 3, 3, 3, 1, 0, 4, 2, 4, 1, 2, 2, 2, 1, 1, 3, 2, 4, 2, 1, 3, 1, 2, 0, 2, 2, 0, 0, 4, 0, 4, 1, 4, 2, 3, 0, 3, 1, 3, 4, 4, 4, 4, 0, 4, 0, 1, 4, 3, 3, 1, 0, 3, 2, 3, 1, 2, 2, 4, 2, 4, 0, 1, 3, 0, 0, 1, 3, 1, 4, 4, 2, 4, 2, 2, 4, 1, 2, 4, 2, 3, 2, 2, 1, 3, 0, 3, 2, 3, 2, 1, 4, 4, 4, 2, 2, 4, 2, 0, 1, 2, 2, 1, 4, 2, 0, 3, 3, 1, 0, 4, 4, 1, 2, 0, 3, 2, 3, 2, 2, 2, 0, 4, 4, 2, 3, 4, 0, 0, 0, 4, 4, 3, 4, 3, 0, 3, 3, 0, 3, 4, 1, 2, 1, 1, 3, 3, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 3, 3, 3, 1, 4, 4, 2, 1, 4, 1, 4, 1, 1, 4, 0, 1, 1, 1, 3, 1, 4, 4, 2, 3, 3, 3, 3, 1, 0, 4, 2, 0, 4, 3, 2, 1, 1, 4, 0, 2, 2, 0, 4, 1, 4, 2, 0, 3, 0, 4, 1, 3, 4, 0, 0, 1, 3, 0, 4, 3, 1, 0, 0, 1, 0, 0, 1, 2, 4, 2, 1, 2, 3, 0, 1, 2, 1, 1, 4, 0, 0, 2, 4, 0, 1, 1, 1, 0, 1, 3, 3, 4, 1, 0, 3, 0, 3, 3, 1, 0, 0, 4, 0, 4, 4, 2, 0, 1, 3, 3, 4, 0, 3, 3, 0, 4, 1, 0, 3, 0, 1, 4, 3, 1, 3, 4, 0, 0, 3, 4, 4, 3, 0, 2, 2, 4, 2, 2, 2, 1, 2, 1, 1, 3, 1, 0, 0, 4, 1, 0, 1, 4, 4, 4, 3, 4, 4, 3, 1, 2, 2, 1, 4, 2, 2, 1, 1, 1, 0, 2, 1, 4, 2, 3, 1, 0, 0, 2, 4, 1, 3, 1, 0, 3, 4, 3, 1, 4, 1, 0, 0, 4, 0, 4, 2, 3, 0, 4, 4, 3, 2, 0, 4, 0, 0, 1, 2, 2, 1, 0, 0, 3, 3, 1, 2, 1, 4, 1, 2, 3, 4, 4, 0, 4, 4, 3, 0, 2, 0, 0, 2, 1, 2, 1, 2, 3, 1, 2, 3, 3, 1, 4, 4, 2, 0, 1, 3, 0, 4, 1, 3, 0, 1, 0, 0, 0, 4, 2, 3, 1, 2, 1, 4, 1, 0, 4] pubkeycol811 = [0, 1, 0, 3, 0, 1, 1, 3, 2, 4, 0, 4, 4, 3, 3, 1, 2, 1, 0, 1, 4, 3, 3, 4, 1, 4, 3, 4, 3, 1, 4, 3, 2, 3, 0, 3, 3, 4, 0, 0, 4, 1, 4, 1, 3, 1, 0, 0, 1, 3, 4, 3, 1, 3, 2, 2, 4, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 2, 1, 0, 2, 0, 1, 0, 1, 3, 3, 3, 2, 2, 2, 4, 4, 3, 1, 0, 3, 1, 0, 4, 4, 0, 3, 2, 3, 3, 4, 0, 1, 4, 0, 0, 3, 2, 1, 4, 1, 2, 3, 2, 2, 3, 0, 0, 3, 2, 0, 4, 1, 1, 4, 4, 4, 0, 2, 2, 4, 2, 3, 1, 3, 4, 2, 4, 2, 0, 2, 0, 4, 0, 0, 2, 0, 3, 3, 2, 3, 3, 0, 2, 3, 0, 0, 2, 4, 0, 2, 0, 2, 1, 4, 4, 4, 4, 2, 3, 2, 2, 2, 2, 0, 1, 4, 4, 4, 0, 2, 2, 0, 0, 3, 1, 3, 4, 1, 4, 2, 3, 1, 1, 4, 3, 3, 4, 4, 4, 4, 3, 2, 0, 3, 1, 3, 4, 0, 2, 2, 1, 2, 0, 3, 2, 2, 0, 3, 0, 1, 0, 4, 4, 3, 4, 1, 1, 1, 0, 3, 0, 2, 1, 2, 4, 2, 2, 1, 1, 4, 1, 3, 1, 0, 1, 4, 1, 3, 4, 0, 2, 4, 0, 1, 4, 0, 3, 4, 1, 2, 1, 3, 3, 1, 2, 3, 3, 3, 4, 4, 3, 4, 2, 4, 2, 3, 4, 1, 4, 3, 0, 3, 4, 3, 1, 0, 4, 3, 4, 1, 1, 1, 2, 2, 0, 3, 2, 1, 2, 1, 4, 0, 4, 3, 3, 4, 0, 3, 3, 0, 4, 3, 2, 1, 1, 3, 1, 3, 2, 3, 3, 1, 3, 1, 4, 1, 3, 4, 0, 0, 3, 1, 3, 4, 1, 3, 0, 1, 1, 2, 2, 0, 4, 2, 2, 4, 1, 2, 2, 1, 2, 3, 0, 2, 3, 4, 3, 4, 3, 3, 1, 4, 4, 0, 2, 0, 1, 1, 2, 2, 4, 0, 0, 0, 1, 1, 2, 2, 3, 0, 3, 4, 1, 0, 4, 3, 2, 0, 1, 2, 1, 2, 0, 4, 2, 1, 0, 2, 0, 1, 1, 4, 4, 3, 3, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 3, 2, 4, 4, 2, 2, 2, 4, 0, 3, 3, 2, 2, 4, 2, 0, 1, 3, 0, 4, 0, 2, 1, 0, 2, 2, 3, 2, 2, 1, 1, 0, 3, 2, 0, 4, 1, 3, 1, 3, 4, 4, 2, 4, 1, 1, 3, 3, 4, 4, 1, 2, 2, 0, 2, 4, 1, 4, 4, 3, 3, 3, 0, 3, 4, 4, 2] pubkeycol812 = [3, 1, 1, 2, 2, 0, 1, 3, 0, 2, 0, 1, 2, 3, 2, 4, 1, 0, 1, 3, 3, 1, 4, 1, 3, 0, 4, 0, 3, 1, 1, 4, 2, 3, 2, 3, 0, 1, 1, 1, 3, 0, 3, 2, 2, 4, 2, 1, 4, 1, 0, 4, 4, 2, 3, 4, 4, 2, 0, 2, 4, 0, 0, 1, 4, 3, 2, 1, 1, 0, 4, 0, 4, 1, 4, 1, 1, 4, 3, 3, 2, 1, 4, 0, 1, 1, 4, 0, 2, 0, 1, 4, 1, 2, 0, 3, 1, 3, 3, 4, 3, 4, 3, 3, 4, 0, 1, 4, 2, 1, 1, 2, 1, 2, 4, 2, 3, 1, 2, 1, 4, 0, 2, 4, 2, 2, 4, 3, 0, 1, 4, 0, 0, 2, 0, 2, 1, 0, 1, 3, 2, 2, 4, 3, 3, 3, 2, 0, 1, 1, 4, 4, 1, 3, 4, 3, 0, 3, 1, 3, 4, 4, 1, 2, 4, 0, 4, 0, 0, 4, 3, 2, 2, 2, 0, 0, 3, 0, 2, 1, 1, 1, 0, 0, 3, 1, 3, 2, 2, 4, 0, 2, 2, 4, 1, 3, 2, 2, 1, 2, 0, 1, 1, 4, 1, 1, 4, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 3, 3, 1, 0, 1, 4, 3, 4, 3, 3, 1, 2, 4, 0, 0, 3, 4, 2, 1, 3, 3, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 3, 4, 2, 0, 0, 4, 0, 3, 1, 4, 3, 0, 3, 3, 0, 2, 0, 2, 1, 2, 3, 3, 2, 0, 3, 4, 0, 0, 2, 3, 2, 4, 4, 4, 0, 0, 1, 3, 2, 0, 1, 0, 4, 3, 4, 4, 3, 2, 3, 4, 0, 1, 2, 0, 1, 3, 4, 3, 0, 1, 3, 4, 1, 3, 3, 4, 1, 2, 4, 4, 1, 4, 2, 4, 4, 0, 2, 4, 3, 4, 1, 0, 2, 4, 2, 2, 2, 3, 3, 0, 2, 4, 2, 2, 1, 3, 3, 3, 3, 1, 2, 1, 2, 0, 2, 3, 1, 3, 4, 2, 0, 3, 4, 1, 3, 4, 0, 4, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 3, 3, 1, 0, 0, 1, 2, 4, 4, 1, 0, 1, 2, 1, 1, 4, 3, 3, 3, 1, 2, 4, 0, 3, 0, 1, 1, 4, 4, 4, 4, 0, 3, 2, 2, 1, 2, 0, 4, 0, 1, 2, 0, 3, 0, 4, 1, 3, 3, 0, 0, 2, 4, 1, 4, 2, 2, 4, 0, 1, 0, 2, 2, 4, 3, 4, 4, 3, 2, 1, 0, 0, 2, 0, 3, 1, 3, 4, 2, 3, 4, 1, 0, 0, 1, 3, 4, 0, 2, 1, 1, 4, 0, 3, 4, 4, 0, 0, 0, 0, 2, 2] pubkeycol813 = [3, 1, 3, 4, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 4, 3, 3, 4, 0, 2, 0, 3, 2, 2, 2, 4, 1, 1, 4, 2, 3, 2, 2, 2, 1, 3, 4, 2, 1, 4, 4, 0, 3, 3, 4, 1, 1, 3, 4, 0, 2, 0, 1, 1, 2, 4, 3, 1, 1, 2, 1, 4, 4, 4, 2, 3, 0, 4, 3, 1, 4, 2, 2, 1, 4, 2, 0, 2, 3, 3, 0, 2, 1, 4, 2, 0, 1, 4, 0, 4, 3, 3, 1, 3, 0, 0, 4, 3, 3, 3, 0, 3, 3, 4, 1, 3, 0, 0, 3, 0, 3, 4, 2, 3, 0, 4, 0, 0, 4, 4, 0, 2, 2, 0, 1, 1, 2, 2, 2, 4, 3, 4, 0, 2, 3, 0, 0, 4, 1, 4, 4, 1, 2, 0, 1, 0, 4, 1, 0, 2, 3, 4, 0, 2, 0, 1, 4, 2, 4, 2, 0, 1, 3, 1, 2, 3, 0, 1, 0, 4, 2, 0, 2, 2, 2, 0, 4, 2, 4, 2, 0, 1, 1, 2, 1, 3, 1, 0, 3, 0, 2, 1, 3, 2, 2, 4, 3, 2, 2, 1, 2, 2, 3, 0, 4, 3, 1, 1, 1, 2, 1, 0, 2, 0, 1, 3, 0, 2, 0, 2, 0, 0, 1, 4, 3, 2, 3, 1, 4, 1, 1, 3, 0, 2, 3, 2, 1, 2, 1, 3, 4, 0, 4, 4, 4, 3, 4, 4, 0, 4, 1, 4, 0, 2, 0, 3, 4, 0, 1, 2, 4, 2, 3, 4, 2, 1, 3, 4, 2, 3, 0, 4, 3, 1, 4, 2, 2, 4, 3, 2, 2, 4, 3, 2, 3, 4, 0, 2, 2, 2, 4, 1, 0, 3, 4, 0, 2, 2, 3, 1, 2, 2, 4, 2, 0, 0, 3, 2, 4, 4, 3, 2, 0, 2, 2, 3, 1, 0, 2, 3, 0, 2, 2, 0, 4, 2, 0, 4, 0, 4, 0, 1, 2, 3, 1, 0, 1, 0, 3, 0, 0, 4, 3, 3, 0, 1, 4, 0, 4, 3, 0, 4, 3, 2, 0, 3, 3, 0, 4, 3, 3, 2, 2, 1, 4, 4, 0, 0, 3, 2, 3, 1, 2, 1, 3, 3, 1, 0, 4, 0, 3, 4, 4, 3, 3, 2, 2, 4, 3, 3, 0, 1, 0, 4, 2, 3, 2, 0, 4, 3, 1, 0, 2, 2, 3, 3, 1, 3, 3, 4, 1, 1, 2, 2, 2, 1, 3, 4, 3, 1, 2, 2, 4, 2, 4, 1, 1, 2, 1, 0, 3, 2, 3, 3, 0, 4, 0, 2, 0, 3, 0, 1, 2, 4, 1, 4, 2, 1, 4, 4, 4, 1, 3, 3, 0, 3, 2, 2, 0, 2, 0, 4, 3, 1, 2, 1, 4, 2, 4, 2, 0, 2, 1, 4, 1, 0, 1, 0, 3, 0] pubkeycol814 = [4, 3, 2, 4, 4, 1, 2, 2, 3, 3, 3, 2, 0, 3, 4, 2, 0, 2, 0, 2, 0, 0, 4, 3, 2, 3, 1, 4, 2, 4, 1, 3, 3, 0, 2, 3, 3, 2, 4, 0, 4, 4, 2, 0, 3, 4, 4, 3, 3, 4, 0, 4, 3, 3, 2, 0, 1, 0, 1, 3, 1, 3, 1, 0, 1, 0, 0, 4, 0, 3, 2, 0, 3, 4, 1, 1, 4, 2, 3, 1, 3, 1, 3, 2, 3, 0, 2, 1, 2, 4, 4, 1, 0, 4, 2, 4, 4, 0, 1, 1, 0, 0, 0, 4, 1, 1, 0, 3, 3, 3, 4, 0, 2, 4, 0, 4, 2, 0, 3, 0, 4, 1, 3, 3, 0, 3, 3, 1, 0, 0, 2, 4, 1, 0, 4, 2, 2, 3, 0, 1, 1, 2, 1, 1, 4, 3, 1, 2, 3, 2, 1, 4, 1, 4, 1, 0, 0, 4, 1, 0, 4, 2, 0, 3, 4, 0, 1, 2, 2, 4, 0, 3, 3, 1, 4, 3, 0, 2, 0, 1, 3, 3, 3, 4, 4, 2, 0, 2, 2, 0, 4, 0, 4, 4, 1, 2, 1, 4, 1, 0, 4, 0, 3, 4, 4, 4, 2, 2, 2, 0, 1, 3, 1, 4, 4, 2, 4, 1, 2, 3, 3, 4, 4, 3, 1, 1, 2, 3, 3, 1, 1, 2, 0, 2, 0, 2, 1, 2, 3, 0, 0, 3, 2, 3, 4, 1, 4, 4, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 1, 4, 3, 1, 2, 3, 1, 0, 0, 1, 1, 4, 3, 4, 2, 4, 3, 1, 1, 4, 3, 2, 4, 4, 1, 4, 1, 1, 0, 2, 1, 4, 0, 1, 1, 0, 0, 4, 2, 1, 0, 3, 3, 4, 0, 0, 2, 2, 4, 4, 1, 3, 2, 0, 1, 2, 3, 4, 4, 3, 4, 2, 4, 2, 4, 3, 2, 3, 1, 1, 3, 4, 2, 3, 0, 4, 1, 4, 1, 3, 4, 1, 3, 2, 0, 3, 3, 1, 1, 4, 4, 3, 3, 3, 4, 2, 0, 1, 0, 3, 3, 0, 1, 2, 3, 3, 4, 2, 1, 0, 0, 0, 4, 3, 3, 2, 2, 4, 0, 4, 1, 4, 3, 0, 0, 0, 0, 3, 2, 3, 1, 1, 1, 3, 4, 4, 4, 0, 3, 0, 4, 0, 0, 0, 0, 4, 2, 0, 4, 3, 3, 4, 4, 2, 1, 4, 0, 3, 3, 2, 3, 1, 0, 1, 3, 3, 1, 2, 4, 0, 3, 4, 4, 3, 4, 2, 1, 3, 1, 2, 1, 3, 0, 2, 0, 0, 2, 4, 4, 2, 3, 4, 3, 0, 4, 3, 0, 4, 1, 0, 4, 0, 3, 3, 1, 1, 0, 1, 0, 4, 4, 3, 0, 1, 3, 2, 4, 3, 4, 3, 4] pubkeycol815 = [0, 2, 0, 3, 2, 0, 4, 0, 1, 0, 1, 3, 1, 1, 4, 2, 4, 1, 1, 4, 1, 0, 3, 0, 0, 2, 2, 0, 1, 4, 1, 0, 4, 0, 1, 2, 3, 1, 4, 4, 3, 2, 4, 3, 0, 1, 1, 1, 2, 4, 3, 0, 2, 4, 4, 3, 4, 3, 3, 0, 1, 0, 4, 3, 2, 3, 4, 4, 3, 3, 3, 3, 2, 4, 3, 2, 2, 3, 3, 0, 2, 1, 4, 4, 1, 0, 1, 0, 3, 0, 0, 1, 2, 0, 1, 4, 2, 4, 1, 3, 0, 4, 3, 1, 1, 4, 1, 2, 3, 1, 2, 1, 1, 0, 3, 1, 1, 4, 2, 3, 4, 3, 2, 2, 4, 1, 1, 4, 0, 3, 3, 1, 0, 4, 3, 0, 4, 3, 3, 1, 1, 0, 4, 2, 1, 1, 4, 3, 0, 3, 3, 3, 0, 3, 1, 4, 2, 1, 4, 0, 4, 3, 4, 0, 3, 1, 0, 0, 1, 2, 1, 1, 0, 4, 0, 3, 2, 4, 3, 0, 2, 2, 3, 3, 1, 3, 3, 3, 0, 0, 4, 3, 3, 3, 1, 1, 4, 4, 0, 0, 4, 3, 3, 1, 0, 0, 2, 3, 2, 4, 2, 4, 3, 0, 2, 4, 3, 1, 1, 3, 0, 2, 0, 3, 4, 2, 0, 4, 2, 2, 1, 4, 4, 2, 3, 4, 2, 2, 1, 4, 1, 2, 1, 0, 3, 3, 3, 2, 3, 1, 1, 1, 3, 2, 1, 2, 0, 3, 3, 4, 1, 0, 1, 4, 4, 1, 4, 0, 0, 4, 4, 4, 1, 4, 0, 1, 3, 0, 1, 1, 2, 2, 3, 4, 2, 0, 4, 3, 1, 2, 3, 2, 4, 1, 0, 0, 4, 1, 0, 2, 1, 0, 0, 4, 2, 2, 0, 3, 1, 0, 4, 0, 4, 2, 4, 1, 3, 1, 0, 2, 1, 0, 3, 3, 4, 4, 4, 3, 3, 4, 4, 1, 4, 2, 2, 2, 0, 3, 0, 4, 3, 4, 3, 3, 1, 4, 0, 2, 2, 2, 3, 2, 0, 1, 1, 0, 1, 0, 1, 0, 4, 3, 4, 2, 3, 0, 2, 3, 4, 3, 0, 0, 3, 2, 0, 2, 3, 2, 4, 2, 0, 4, 4, 1, 0, 3, 0, 1, 2, 4, 3, 1, 4, 0, 0, 3, 0, 3, 2, 0, 4, 1, 0, 4, 2, 0, 2, 2, 2, 0, 4, 1, 3, 0, 2, 4, 1, 4, 3, 4, 3, 1, 1, 3, 0, 1, 4, 2, 4, 3, 0, 2, 4, 4, 4, 3, 2, 3, 3, 0, 3, 2, 3, 1, 3, 2, 4, 4, 1, 3, 1, 4, 1, 0, 2, 3, 3, 0, 1, 3, 0, 0, 4, 3, 3, 3, 4, 1, 4, 3, 4, 3, 4, 4, 1, 3, 3, 3, 4, 4] pubkeycol816 = [3, 2, 1, 3, 4, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 4, 4, 1, 3, 1, 4, 0, 0, 4, 4, 4, 0, 2, 1, 4, 4, 2, 3, 3, 2, 0, 2, 1, 4, 4, 2, 0, 3, 0, 1, 3, 2, 1, 4, 4, 3, 1, 0, 3, 4, 3, 4, 3, 1, 4, 4, 2, 0, 4, 3, 2, 3, 1, 2, 4, 1, 4, 4, 2, 0, 2, 3, 3, 3, 0, 3, 1, 4, 0, 0, 2, 0, 0, 4, 0, 1, 4, 2, 3, 3, 2, 2, 4, 1, 4, 0, 3, 0, 0, 3, 0, 4, 3, 0, 2, 4, 2, 3, 0, 0, 3, 3, 1, 2, 2, 0, 0, 0, 1, 2, 0, 4, 1, 4, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 4, 4, 3, 3, 3, 1, 3, 3, 0, 0, 3, 4, 2, 1, 3, 2, 0, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 4, 4, 0, 2, 3, 4, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 3, 3, 2, 1, 1, 4, 2, 1, 2, 1, 4, 1, 4, 2, 0, 3, 4, 2, 1, 4, 4, 4, 3, 1, 2, 0, 0, 1, 2, 3, 0, 2, 3, 0, 2, 3, 0, 0, 0, 4, 4, 2, 2, 1, 2, 1, 3, 2, 0, 2, 0, 4, 1, 0, 1, 0, 0, 4, 4, 3, 1, 1, 2, 3, 2, 4, 3, 3, 4, 4, 3, 1, 3, 3, 3, 4, 2, 3, 0, 1, 1, 0, 3, 4, 1, 0, 2, 4, 1, 3, 4, 0, 2, 2, 3, 1, 1, 4, 3, 1, 2, 4, 1, 3, 4, 4, 3, 3, 3, 2, 1, 0, 2, 2, 4, 2, 1, 2, 2, 4, 2, 0, 3, 1, 0, 0, 3, 3, 2, 1, 4, 0, 2, 2, 4, 2, 0, 1, 2, 3, 3, 1, 4, 1, 3, 0, 1, 1, 0, 2, 3, 1, 2, 1, 0, 0, 1, 4, 0, 2, 4, 1, 3, 3, 2, 0, 0, 0, 2, 0, 0, 3, 0, 3, 1, 2, 2, 4, 2, 3, 1, 4, 3, 2, 3, 1, 3, 2, 1, 3, 1, 3, 0, 2, 4, 2, 2, 0, 1, 0, 2, 4, 4, 0, 1, 1, 2, 2, 4, 1, 2, 3, 0, 4, 4, 3, 3, 4, 1, 0, 3, 4, 2, 0, 3, 0, 4, 4, 3, 2, 1, 4, 2, 2, 3, 0, 1, 4, 2, 0, 1, 1, 2, 0, 0, 4, 3, 4, 0, 0, 0, 3, 0, 4, 3, 2, 2, 1, 0, 1, 1, 4, 4, 1, 3, 0, 0, 2, 2, 3, 1, 4, 4, 2, 1, 1, 0, 0, 4, 2, 3, 0, 3, 2, 3, 2, 3, 1, 0, 2, 3] pubkeycol817 = [4, 1, 3, 3, 1, 1, 3, 1, 2, 1, 1, 1, 3, 2, 2, 4, 4, 4, 3, 2, 4, 4, 0, 1, 3, 2, 3, 4, 4, 3, 3, 1, 2, 0, 3, 0, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 0, 4, 0, 0, 0, 2, 1, 3, 4, 4, 4, 0, 1, 0, 2, 2, 2, 0, 3, 4, 0, 2, 1, 4, 4, 2, 2, 1, 0, 3, 1, 0, 0, 3, 2, 0, 1, 1, 3, 2, 2, 3, 3, 2, 4, 4, 2, 0, 4, 2, 0, 4, 3, 0, 1, 3, 3, 0, 1, 2, 0, 0, 4, 1, 4, 2, 1, 2, 4, 3, 1, 3, 2, 3, 0, 3, 0, 4, 1, 1, 3, 1, 2, 1, 0, 1, 0, 2, 3, 4, 2, 3, 1, 4, 2, 1, 2, 1, 3, 0, 0, 3, 4, 2, 0, 4, 3, 2, 1, 4, 3, 4, 0, 4, 4, 3, 3, 2, 4, 1, 4, 3, 4, 4, 4, 3, 4, 1, 2, 2, 2, 1, 0, 0, 2, 3, 4, 4, 2, 4, 0, 4, 2, 3, 2, 2, 4, 3, 3, 4, 4, 0, 1, 3, 2, 0, 4, 0, 0, 0, 3, 0, 1, 3, 3, 3, 0, 4, 1, 4, 2, 1, 1, 1, 3, 0, 0, 0, 3, 3, 0, 1, 2, 3, 2, 2, 1, 0, 1, 3, 3, 0, 4, 2, 4, 3, 0, 1, 0, 2, 0, 4, 0, 2, 3, 1, 3, 3, 2, 1, 3, 1, 3, 1, 2, 2, 3, 0, 4, 3, 0, 4, 0, 1, 4, 0, 3, 3, 2, 0, 4, 0, 2, 2, 2, 2, 2, 3, 0, 2, 3, 1, 2, 3, 0, 0, 3, 2, 0, 3, 3, 4, 3, 4, 3, 4, 3, 2, 1, 4, 4, 1, 3, 0, 1, 2, 0, 3, 1, 3, 4, 2, 3, 3, 0, 2, 3, 3, 2, 3, 4, 2, 2, 3, 0, 1, 1, 1, 4, 3, 0, 0, 3, 1, 0, 3, 2, 0, 4, 1, 0, 2, 2, 4, 4, 4, 2, 3, 2, 3, 2, 0, 3, 4, 1, 4, 2, 4, 1, 4, 1, 3, 3, 3, 2, 0, 2, 1, 1, 3, 3, 4, 2, 4, 3, 0, 3, 3, 3, 3, 3, 1, 4, 4, 0, 3, 3, 4, 1, 0, 0, 0, 3, 3, 4, 4, 3, 2, 3, 1, 0, 0, 2, 3, 3, 1, 0, 4, 0, 0, 2, 2, 3, 0, 4, 3, 0, 0, 1, 3, 3, 2, 2, 1, 1, 2, 1, 0, 0, 3, 3, 0, 0, 0, 1, 4, 1, 2, 4, 3, 0, 2, 1, 3, 2, 0, 1, 0, 4, 1, 3, 1, 0, 3, 2, 1, 4, 2, 2, 0, 0, 0, 2, 0, 0, 3, 3, 2, 2, 1, 0, 4, 1, 0] pubkeycol818 = [2, 3, 0, 4, 1, 1, 0, 4, 0, 1, 1, 1, 4, 4, 4, 4, 4, 3, 1, 3, 2, 0, 3, 3, 3, 4, 1, 2, 1, 4, 4, 3, 4, 1, 2, 4, 1, 0, 1, 0, 2, 1, 3, 0, 1, 4, 1, 4, 0, 3, 3, 3, 1, 4, 4, 0, 3, 2, 2, 4, 4, 3, 3, 2, 1, 0, 2, 0, 3, 3, 4, 1, 1, 1, 1, 4, 0, 2, 3, 2, 3, 0, 1, 4, 4, 2, 4, 2, 2, 3, 4, 4, 1, 4, 2, 1, 4, 4, 4, 1, 2, 3, 4, 0, 0, 3, 1, 1, 0, 1, 0, 2, 2, 4, 1, 4, 4, 0, 3, 0, 3, 3, 2, 3, 4, 3, 4, 2, 4, 2, 3, 1, 2, 0, 1, 0, 4, 4, 0, 0, 4, 3, 2, 2, 4, 4, 4, 0, 4, 0, 0, 4, 4, 2, 4, 3, 1, 0, 0, 1, 3, 2, 2, 4, 3, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 4, 0, 2, 3, 2, 0, 3, 1, 0, 1, 3, 3, 1, 1, 0, 3, 2, 1, 4, 2, 1, 1, 3, 0, 1, 3, 2, 0, 2, 2, 2, 1, 3, 1, 1, 2, 0, 4, 3, 3, 2, 4, 4, 1, 2, 4, 1, 0, 2, 3, 3, 3, 0, 2, 3, 4, 2, 4, 4, 2, 2, 4, 1, 4, 3, 3, 1, 4, 3, 0, 3, 0, 3, 0, 2, 0, 4, 2, 1, 4, 0, 3, 3, 4, 2, 3, 1, 0, 1, 2, 3, 0, 4, 0, 0, 2, 3, 4, 0, 1, 0, 4, 3, 3, 4, 2, 4, 2, 3, 4, 0, 2, 1, 3, 3, 4, 4, 2, 0, 3, 1, 4, 0, 4, 3, 0, 0, 4, 2, 1, 2, 2, 0, 1, 0, 3, 2, 2, 2, 3, 4, 1, 3, 4, 0, 0, 0, 4, 3, 2, 2, 3, 1, 3, 3, 2, 1, 1, 1, 2, 1, 3, 0, 4, 0, 0, 4, 2, 2, 3, 2, 0, 2, 3, 3, 1, 2, 3, 4, 0, 3, 1, 0, 2, 0, 3, 2, 0, 0, 3, 1, 0, 1, 4, 2, 4, 4, 4, 1, 3, 4, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 3, 0, 3, 4, 2, 0, 1, 0, 4, 1, 3, 2, 3, 0, 3, 0, 4, 1, 2, 3, 0, 4, 0, 3, 4, 2, 3, 0, 0, 3, 0, 1, 3, 0, 0, 0, 2, 3, 2, 0, 4, 2, 0, 2, 0, 1, 0, 1, 1, 4, 4, 0, 4, 3, 3, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 3, 3, 2, 0, 1, 0, 2, 1, 1, 4, 3, 0, 4, 3, 2, 4, 2, 4, 4, 1, 0, 1, 2, 2] pubkeycol819 = [0, 3, 1, 4, 2, 3, 4, 2, 1, 0, 4, 1, 0, 2, 3, 1, 4, 0, 0, 2, 0, 0, 3, 1, 1, 0, 0, 2, 1, 1, 4, 4, 0, 2, 3, 0, 2, 0, 2, 1, 4, 4, 1, 4, 0, 1, 4, 2, 0, 4, 3, 3, 0, 1, 2, 4, 3, 3, 3, 4, 4, 2, 4, 2, 2, 0, 1, 4, 3, 4, 3, 1, 1, 3, 1, 0, 1, 2, 2, 3, 1, 4, 1, 4, 4, 2, 3, 0, 2, 1, 1, 2, 4, 4, 3, 3, 1, 0, 1, 1, 1, 3, 1, 4, 0, 4, 1, 2, 1, 3, 1, 2, 4, 2, 4, 3, 2, 3, 3, 3, 2, 4, 1, 3, 4, 4, 3, 2, 4, 3, 3, 4, 0, 4, 3, 4, 3, 3, 4, 1, 4, 0, 3, 2, 0, 1, 2, 3, 2, 4, 0, 0, 2, 1, 3, 2, 0, 4, 1, 0, 3, 4, 1, 0, 2, 0, 2, 4, 0, 2, 2, 4, 2, 1, 2, 3, 2, 4, 3, 2, 3, 1, 3, 0, 3, 4, 1, 4, 4, 0, 4, 3, 3, 2, 4, 1, 4, 2, 1, 1, 4, 3, 0, 3, 0, 1, 3, 0, 3, 4, 1, 4, 0, 0, 1, 0, 1, 3, 0, 0, 3, 1, 2, 0, 2, 0, 3, 0, 4, 1, 1, 3, 1, 0, 4, 4, 0, 4, 4, 1, 4, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 3, 2, 1, 3, 1, 0, 1, 3, 4, 3, 3, 3, 4, 0, 4, 3, 2, 0, 1, 3, 0, 1, 0, 3, 4, 0, 1, 3, 3, 3, 2, 1, 2, 3, 0, 1, 1, 0, 0, 0, 1, 3, 4, 1, 2, 2, 4, 1, 1, 3, 3, 4, 1, 4, 0, 1, 3, 2, 2, 4, 3, 1, 2, 4, 3, 1, 1, 0, 3, 4, 4, 1, 4, 3, 2, 0, 1, 3, 1, 1, 0, 1, 1, 4, 2, 2, 1, 0, 4, 2, 1, 3, 3, 3, 3, 2, 4, 4, 1, 1, 4, 4, 4, 3, 2, 3, 3, 1, 0, 0, 3, 4, 4, 0, 2, 1, 2, 2, 1, 4, 0, 2, 4, 3, 3, 4, 2, 4, 0, 1, 4, 0, 4, 0, 2, 0, 4, 1, 4, 1, 0, 4, 1, 0, 2, 0, 1, 4, 0, 0, 1, 0, 3, 3, 2, 0, 2, 0, 1, 2, 4, 1, 3, 4, 1, 2, 3, 1, 2, 3, 1, 0, 2, 0, 2, 3, 4, 1, 1, 4, 0, 1, 2, 4, 3, 4, 4, 2, 1, 2, 3, 2, 2, 4, 4, 2, 2, 2, 0, 0, 0, 1, 3, 1, 3, 4, 2, 2, 4, 2, 0, 2, 4, 2, 1, 2, 0, 1, 0, 0, 0, 0, 4, 3, 4, 4, 0] pubkeycol820 = [2, 0, 0, 0, 4, 0, 1, 1, 4, 2, 4, 3, 4, 4, 2, 1, 0, 1, 3, 3, 2, 2, 0, 0, 2, 1, 0, 2, 1, 4, 3, 0, 4, 3, 1, 2, 2, 2, 3, 4, 0, 4, 3, 4, 1, 0, 4, 3, 2, 4, 1, 2, 1, 0, 1, 3, 4, 2, 1, 4, 0, 4, 0, 0, 4, 4, 1, 2, 0, 4, 1, 1, 3, 4, 3, 2, 0, 3, 2, 3, 2, 4, 3, 0, 3, 1, 0, 3, 4, 4, 4, 1, 4, 2, 2, 1, 0, 2, 3, 1, 3, 1, 4, 2, 0, 2, 1, 3, 1, 4, 1, 2, 0, 2, 1, 0, 2, 4, 0, 1, 2, 0, 2, 1, 4, 2, 4, 2, 3, 4, 1, 1, 0, 2, 3, 1, 2, 3, 2, 0, 0, 0, 3, 1, 3, 3, 2, 0, 3, 1, 4, 4, 2, 1, 2, 1, 3, 3, 0, 3, 0, 2, 1, 1, 0, 3, 3, 1, 3, 1, 4, 0, 4, 2, 4, 3, 0, 2, 1, 3, 1, 4, 1, 1, 3, 4, 3, 3, 2, 0, 2, 4, 2, 1, 2, 0, 0, 0, 4, 0, 0, 1, 2, 0, 1, 3, 3, 3, 4, 3, 4, 0, 1, 3, 4, 0, 0, 4, 4, 4, 4, 3, 1, 0, 3, 1, 0, 3, 0, 4, 0, 2, 4, 4, 4, 3, 0, 2, 4, 2, 3, 0, 3, 1, 0, 2, 3, 0, 2, 1, 0, 4, 4, 4, 2, 4, 0, 2, 3, 3, 2, 1, 0, 2, 1, 0, 0, 2, 3, 0, 0, 0, 4, 2, 0, 2, 0, 3, 2, 1, 1, 3, 0, 0, 3, 1, 4, 3, 4, 1, 0, 3, 4, 3, 2, 4, 3, 0, 1, 2, 0, 3, 3, 2, 3, 3, 2, 3, 0, 4, 0, 0, 1, 3, 0, 0, 3, 0, 0, 3, 1, 3, 1, 1, 2, 3, 1, 4, 3, 1, 2, 3, 0, 3, 3, 0, 0, 3, 4, 0, 2, 0, 0, 1, 3, 1, 1, 2, 4, 1, 3, 4, 1, 0, 1, 2, 2, 4, 3, 1, 2, 3, 1, 1, 0, 4, 0, 3, 2, 3, 3, 0, 3, 2, 3, 3, 3, 0, 2, 2, 2, 4, 2, 3, 2, 2, 4, 3, 4, 0, 0, 1, 3, 2, 0, 0, 4, 2, 0, 2, 1, 4, 0, 1, 0, 4, 2, 1, 1, 0, 0, 2, 1, 3, 3, 2, 1, 0, 0, 4, 0, 3, 4, 4, 0, 1, 3, 3, 0, 1, 4, 1, 1, 3, 2, 4, 4, 3, 3, 0, 0, 2, 3, 2, 0, 2, 3, 3, 1, 0, 4, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 4, 3, 0, 0, 0, 4, 1, 4, 3, 1, 3, 3, 4, 4, 1, 2, 1, 1, 0] pubkeycol821 = [0, 1, 3, 4, 0, 3, 1, 4, 1, 4, 1, 3, 2, 4, 0, 4, 4, 0, 3, 3, 1, 1, 4, 0, 0, 3, 4, 0, 4, 4, 0, 2, 3, 4, 0, 0, 0, 4, 0, 2, 3, 2, 0, 1, 1, 0, 0, 2, 1, 4, 1, 2, 2, 1, 0, 1, 3, 3, 3, 2, 1, 3, 0, 3, 1, 3, 1, 0, 4, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 3, 0, 2, 4, 4, 1, 2, 1, 3, 0, 4, 1, 3, 1, 0, 4, 1, 1, 1, 4, 3, 1, 4, 4, 3, 1, 0, 1, 2, 3, 1, 0, 2, 1, 3, 4, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 4, 2, 3, 1, 0, 3, 2, 2, 1, 0, 1, 0, 0, 1, 3, 3, 4, 0, 3, 1, 2, 1, 3, 2, 4, 3, 0, 2, 4, 3, 1, 2, 0, 0, 0, 2, 2, 3, 4, 1, 0, 2, 4, 0, 1, 1, 3, 4, 3, 0, 0, 4, 4, 1, 3, 2, 3, 2, 2, 3, 0, 3, 3, 3, 1, 4, 0, 2, 0, 2, 4, 0, 4, 2, 1, 4, 1, 3, 3, 2, 0, 1, 2, 3, 1, 2, 4, 4, 4, 4, 1, 4, 1, 0, 2, 2, 1, 3, 2, 3, 3, 2, 4, 2, 4, 2, 2, 1, 0, 1, 4, 0, 2, 0, 2, 0, 0, 3, 3, 0, 3, 3, 4, 2, 1, 3, 2, 0, 4, 4, 1, 1, 1, 0, 2, 1, 3, 1, 3, 3, 4, 4, 3, 2, 1, 2, 1, 1, 2, 3, 3, 2, 1, 2, 4, 2, 1, 2, 1, 1, 1, 2, 0, 2, 4, 0, 0, 2, 0, 3, 0, 1, 4, 0, 0, 3, 4, 3, 3, 1, 1, 1, 1, 3, 3, 4, 0, 2, 4, 0, 3, 1, 3, 4, 3, 2, 1, 2, 2, 0, 3, 0, 0, 1, 4, 4, 3, 4, 0, 2, 1, 1, 4, 1, 0, 1, 0, 1, 2, 1, 4, 4, 2, 1, 3, 0, 3, 3, 3, 0, 2, 0, 0, 3, 3, 1, 4, 2, 2, 2, 2, 3, 0, 2, 0, 4, 1, 2, 3, 0, 4, 4, 4, 2, 0, 0, 4, 2, 1, 0, 3, 1, 4, 0, 4, 3, 1, 1, 2, 0, 1, 0, 1, 3, 1, 2, 4, 3, 0, 0, 1, 1, 3, 2, 2, 2, 2, 0, 4, 3, 4, 3, 1, 1, 0, 4, 3, 0, 1, 2, 0, 1, 3, 0, 1, 1, 4, 3, 2, 4, 0, 2, 0, 1, 2, 3, 4, 1, 3, 2, 1, 2, 2, 0, 3, 0, 3, 1, 1, 1, 2, 2, 1, 2, 4, 2, 3, 2, 4, 4, 2, 0, 2, 3, 3] pubkeycol822 = [2, 3, 4, 4, 2, 3, 0, 2, 3, 1, 2, 0, 4, 1, 0, 2, 4, 3, 2, 2, 0, 3, 1, 2, 0, 2, 3, 0, 3, 2, 3, 1, 4, 3, 3, 1, 4, 3, 3, 2, 4, 2, 0, 4, 3, 3, 2, 4, 1, 1, 0, 4, 3, 4, 3, 3, 0, 0, 2, 2, 4, 4, 1, 1, 4, 0, 2, 2, 4, 1, 3, 0, 0, 0, 3, 2, 3, 0, 4, 4, 0, 2, 4, 4, 0, 0, 0, 3, 4, 4, 2, 4, 2, 0, 0, 4, 3, 2, 3, 1, 3, 1, 0, 2, 1, 0, 0, 1, 3, 1, 3, 3, 4, 3, 2, 2, 0, 0, 2, 1, 4, 2, 2, 2, 2, 1, 2, 3, 3, 3, 1, 0, 1, 1, 2, 1, 0, 2, 4, 2, 3, 2, 1, 0, 1, 3, 3, 2, 4, 4, 3, 1, 1, 4, 3, 1, 1, 1, 1, 4, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 0, 1, 0, 3, 3, 1, 2, 0, 2, 3, 3, 2, 2, 3, 4, 2, 3, 1, 0, 3, 1, 4, 2, 0, 0, 3, 3, 4, 3, 0, 2, 4, 4, 3, 0, 4, 3, 2, 3, 0, 0, 2, 1, 1, 4, 4, 4, 3, 2, 4, 1, 2, 2, 1, 1, 0, 4, 0, 4, 1, 2, 3, 3, 1, 1, 0, 2, 0, 2, 3, 4, 4, 2, 1, 2, 3, 4, 1, 3, 4, 4, 2, 4, 3, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 3, 2, 3, 1, 1, 0, 4, 2, 0, 2, 2, 2, 2, 0, 4, 3, 1, 4, 3, 4, 1, 4, 0, 0, 3, 4, 1, 1, 4, 4, 0, 1, 4, 0, 3, 4, 2, 0, 3, 2, 4, 3, 3, 4, 1, 1, 1, 1, 2, 2, 3, 2, 1, 4, 4, 3, 2, 1, 3, 0, 1, 0, 2, 1, 2, 4, 1, 4, 1, 2, 3, 4, 1, 3, 2, 4, 0, 2, 1, 0, 0, 0, 0, 4, 3, 2, 3, 4, 3, 4, 0, 4, 1, 4, 1, 4, 3, 4, 3, 2, 1, 1, 3, 0, 3, 2, 2, 3, 0, 4, 0, 2, 2, 1, 0, 4, 1, 2, 1, 4, 3, 3, 4, 4, 4, 0, 4, 4, 1, 0, 3, 4, 2, 0, 4, 4, 2, 2, 4, 2, 4, 4, 1, 4, 0, 0, 4, 1, 3, 2, 4, 1, 2, 0, 2, 0, 2, 4, 0, 0, 4, 3, 3, 1, 0, 0, 3, 4, 0, 1, 2, 2, 2, 3, 0, 4, 1, 2, 2, 0, 3, 1, 2, 4, 0, 3, 1, 4, 1, 0, 2, 2, 1, 2, 4, 2, 4, 1, 1, 4, 3, 0, 2, 1, 1, 4, 1, 3, 2, 2, 3] pubkeycol823 = [3, 1, 4, 4, 1, 2, 2, 3, 2, 3, 3, 1, 4, 1, 2, 0, 1, 3, 0, 2, 1, 4, 2, 3, 1, 0, 3, 3, 3, 3, 3, 1, 0, 4, 1, 2, 0, 1, 4, 2, 4, 2, 2, 0, 0, 3, 1, 2, 3, 0, 1, 1, 3, 4, 4, 2, 3, 2, 0, 4, 3, 4, 0, 3, 3, 4, 3, 3, 0, 0, 0, 2, 4, 0, 1, 4, 2, 0, 2, 1, 2, 0, 1, 4, 2, 0, 1, 2, 2, 4, 1, 2, 1, 1, 0, 2, 2, 3, 3, 3, 2, 0, 1, 2, 0, 4, 1, 4, 4, 2, 2, 0, 0, 4, 2, 2, 4, 1, 0, 4, 0, 2, 4, 3, 0, 3, 4, 1, 1, 0, 0, 2, 4, 0, 2, 4, 4, 4, 1, 4, 2, 1, 0, 0, 0, 3, 3, 3, 1, 0, 4, 2, 1, 3, 4, 4, 3, 3, 0, 1, 0, 1, 0, 2, 1, 4, 0, 1, 0, 3, 3, 4, 3, 0, 0, 4, 1, 2, 0, 2, 4, 2, 2, 1, 1, 0, 3, 4, 4, 1, 4, 1, 3, 0, 4, 0, 2, 2, 2, 1, 3, 2, 4, 1, 2, 0, 1, 3, 0, 0, 2, 0, 1, 0, 1, 4, 2, 0, 2, 2, 3, 0, 2, 2, 0, 4, 0, 0, 4, 2, 1, 3, 1, 4, 3, 4, 0, 2, 3, 3, 0, 4, 4, 0, 2, 3, 3, 1, 3, 0, 1, 4, 0, 3, 4, 2, 2, 3, 3, 4, 2, 0, 3, 4, 4, 2, 3, 1, 4, 2, 0, 3, 1, 1, 0, 0, 4, 4, 2, 3, 1, 4, 1, 0, 2, 0, 3, 3, 4, 4, 4, 0, 2, 4, 4, 0, 3, 0, 2, 0, 2, 3, 3, 4, 0, 1, 1, 4, 1, 2, 1, 0, 4, 3, 2, 1, 3, 3, 0, 0, 4, 3, 4, 4, 1, 0, 1, 3, 0, 3, 3, 3, 0, 0, 4, 2, 2, 1, 0, 3, 4, 0, 1, 0, 2, 2, 4, 3, 3, 0, 0, 0, 2, 4, 2, 1, 2, 3, 2, 3, 1, 1, 4, 4, 0, 1, 3, 2, 0, 1, 1, 1, 4, 4, 4, 0, 4, 4, 2, 2, 0, 1, 2, 4, 1, 0, 3, 4, 0, 0, 1, 4, 2, 2, 3, 2, 3, 1, 3, 0, 3, 1, 4, 2, 1, 3, 4, 3, 4, 1, 0, 4, 2, 3, 4, 3, 1, 1, 2, 0, 3, 1, 3, 1, 0, 0, 1, 0, 0, 4, 0, 3, 4, 0, 2, 4, 4, 3, 3, 4, 1, 1, 2, 0, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 1, 2, 4, 1, 4, 0, 4, 1, 0, 4, 1, 2, 2, 4, 0, 1, 4, 1, 0, 2, 4, 4, 2, 3, 1, 4] pubkeycol824 = [1, 3, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 4, 4, 1, 3, 4, 0, 4, 2, 4, 0, 2, 0, 1, 0, 0, 0, 2, 4, 0, 2, 1, 1, 0, 4, 1, 3, 1, 4, 1, 3, 4, 1, 1, 0, 0, 1, 1, 4, 0, 0, 3, 1, 1, 2, 1, 4, 1, 3, 0, 3, 2, 3, 4, 0, 1, 3, 2, 4, 4, 2, 1, 4, 2, 3, 0, 0, 0, 2, 4, 4, 4, 2, 0, 4, 1, 3, 3, 4, 3, 4, 1, 2, 0, 2, 2, 3, 3, 4, 4, 4, 2, 0, 4, 2, 2, 3, 1, 3, 4, 4, 3, 1, 4, 1, 2, 4, 2, 1, 4, 4, 1, 0, 0, 0, 3, 2, 0, 3, 3, 1, 2, 0, 3, 2, 3, 0, 0, 3, 2, 0, 0, 2, 2, 4, 0, 3, 0, 1, 3, 4, 3, 2, 3, 2, 1, 1, 4, 0, 1, 3, 2, 4, 1, 2, 2, 0, 3, 4, 0, 0, 4, 2, 1, 0, 4, 2, 1, 0, 1, 2, 4, 0, 2, 4, 2, 0, 1, 1, 2, 3, 1, 4, 2, 2, 1, 0, 2, 1, 4, 1, 3, 2, 2, 3, 2, 0, 4, 0, 2, 1, 3, 1, 2, 0, 3, 2, 1, 1, 4, 0, 1, 0, 4, 0, 3, 3, 0, 0, 0, 3, 0, 0, 1, 1, 2, 2, 1, 4, 0, 0, 0, 1, 3, 3, 2, 4, 4, 0, 4, 1, 0, 1, 1, 1, 2, 4, 1, 0, 1, 1, 4, 2, 4, 3, 3, 0, 1, 0, 2, 2, 4, 3, 0, 0, 4, 1, 1, 0, 1, 0, 4, 2, 0, 1, 3, 3, 3, 2, 2, 0, 0, 4, 1, 0, 2, 3, 3, 0, 4, 1, 2, 2, 0, 4, 3, 0, 4, 3, 3, 4, 4, 1, 4, 2, 4, 3, 4, 2, 4, 4, 2, 3, 3, 0, 1, 3, 4, 4, 4, 1, 2, 2, 4, 4, 0, 2, 3, 0, 4, 3, 0, 4, 3, 3, 2, 4, 3, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 4, 3, 1, 2, 1, 0, 3, 0, 4, 0, 4, 0, 1, 0, 1, 2, 2, 3, 2, 1, 3, 4, 1, 0, 3, 3, 4, 3, 1, 0, 0, 4, 4, 0, 3, 4, 1, 1, 1, 2, 0, 3, 0, 0, 2, 2, 3, 4, 2, 2, 3, 1, 2, 1, 0, 2, 4, 3, 1, 2, 2, 0, 1, 1, 0, 4, 3, 4, 0, 1, 0, 3, 4, 4, 1, 4, 0, 0, 0, 3, 2, 4, 2, 1, 0, 0, 2, 3, 2, 1, 4, 4, 3, 2, 4, 4, 0, 4, 0, 1, 4, 3, 3, 3, 3, 4, 4, 3, 1, 4, 1, 0, 3, 2, 2, 3, 0, 2, 2, 1, 3] pubkeycol825 = [2, 3, 3, 3, 1, 0, 1, 3, 3, 2, 1, 2, 3, 2, 4, 3, 3, 0, 0, 4, 4, 3, 0, 3, 1, 4, 1, 4, 4, 4, 4, 1, 3, 1, 2, 4, 3, 0, 3, 4, 1, 2, 4, 2, 2, 2, 2, 1, 2, 1, 1, 3, 3, 4, 3, 2, 2, 1, 1, 2, 3, 2, 4, 1, 4, 4, 2, 4, 3, 0, 3, 3, 2, 4, 1, 4, 3, 3, 2, 0, 0, 4, 2, 1, 3, 1, 4, 2, 0, 4, 4, 4, 4, 1, 2, 4, 2, 3, 3, 0, 1, 4, 0, 2, 3, 3, 2, 2, 1, 0, 0, 1, 2, 2, 3, 0, 1, 0, 4, 0, 3, 1, 2, 2, 4, 0, 0, 1, 2, 4, 1, 3, 4, 2, 1, 4, 4, 0, 1, 2, 4, 1, 0, 1, 3, 1, 3, 4, 1, 3, 1, 4, 0, 3, 1, 3, 1, 4, 3, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 3, 0, 2, 4, 2, 2, 2, 4, 2, 3, 2, 2, 2, 3, 4, 1, 4, 3, 1, 4, 2, 1, 2, 1, 3, 4, 1, 1, 2, 1, 4, 3, 3, 0, 0, 4, 1, 1, 2, 1, 1, 3, 1, 1, 2, 4, 2, 1, 3, 3, 0, 0, 3, 0, 4, 2, 4, 4, 0, 3, 3, 4, 0, 2, 3, 1, 3, 0, 1, 0, 4, 1, 3, 1, 4, 4, 0, 1, 3, 3, 0, 0, 4, 4, 1, 4, 0, 1, 1, 3, 2, 3, 4, 1, 3, 3, 2, 0, 3, 3, 2, 0, 3, 1, 2, 0, 3, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 3, 4, 3, 1, 0, 0, 0, 3, 3, 3, 3, 1, 1, 0, 0, 4, 4, 2, 3, 2, 2, 2, 3, 1, 3, 3, 1, 4, 4, 4, 2, 3, 1, 4, 4, 2, 4, 2, 3, 2, 3, 1, 1, 1, 3, 1, 4, 3, 3, 4, 0, 0, 0, 1, 1, 0, 3, 2, 0, 0, 0, 4, 4, 0, 3, 4, 4, 1, 0, 2, 3, 1, 3, 3, 0, 3, 0, 3, 2, 3, 3, 3, 0, 1, 1, 2, 1, 2, 0, 1, 2, 4, 1, 0, 4, 2, 2, 1, 1, 0, 1, 2, 3, 1, 4, 0, 1, 4, 2, 2, 2, 4, 0, 2, 2, 2, 1, 3, 2, 0, 3, 2, 3, 4, 0, 0, 2, 2, 4, 3, 0, 3, 4, 1, 2, 1, 1, 1, 1, 2, 3, 0, 4, 2, 0, 1, 4, 3, 3, 3, 2, 4, 2, 3, 4, 1, 2, 4, 3, 1, 4, 2, 2, 1, 2, 1, 3, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 4, 1, 3, 3, 2, 2, 4, 0, 0, 3, 0, 3, 1, 1] pubkeycol826 = [4, 3, 3, 0, 2, 4, 0, 4, 3, 3, 2, 1, 3, 1, 4, 1, 1, 3, 4, 1, 3, 1, 3, 3, 2, 3, 3, 0, 4, 2, 2, 3, 4, 3, 1, 1, 3, 1, 1, 0, 3, 3, 2, 0, 3, 1, 4, 2, 0, 4, 1, 2, 4, 1, 4, 3, 2, 4, 3, 1, 1, 1, 2, 2, 0, 2, 4, 1, 2, 1, 3, 3, 2, 3, 1, 3, 4, 3, 0, 0, 3, 3, 3, 0, 1, 4, 1, 3, 0, 2, 1, 1, 3, 2, 3, 3, 1, 3, 0, 4, 3, 1, 1, 3, 0, 1, 4, 3, 0, 2, 4, 4, 2, 0, 4, 3, 0, 2, 2, 1, 2, 0, 0, 4, 3, 2, 4, 3, 0, 0, 1, 4, 3, 4, 1, 3, 4, 1, 0, 0, 2, 0, 2, 1, 2, 1, 3, 3, 4, 3, 1, 0, 2, 4, 0, 4, 3, 2, 0, 1, 2, 3, 4, 3, 3, 3, 3, 0, 4, 0, 3, 3, 2, 2, 4, 1, 0, 1, 4, 4, 0, 0, 3, 4, 0, 4, 0, 1, 4, 4, 3, 4, 2, 4, 2, 4, 1, 0, 0, 0, 4, 0, 1, 0, 0, 1, 4, 2, 2, 3, 0, 0, 4, 4, 4, 0, 0, 1, 3, 1, 1, 4, 2, 1, 1, 4, 4, 2, 4, 1, 3, 3, 1, 0, 3, 1, 1, 4, 2, 0, 4, 1, 3, 1, 3, 3, 2, 0, 1, 1, 4, 1, 2, 3, 4, 1, 1, 4, 0, 0, 3, 1, 3, 3, 3, 3, 1, 4, 4, 4, 2, 1, 2, 4, 3, 2, 4, 1, 2, 4, 0, 4, 3, 4, 3, 1, 1, 3, 3, 0, 2, 1, 1, 1, 4, 0, 3, 0, 1, 3, 0, 1, 2, 2, 0, 4, 0, 2, 4, 4, 4, 4, 1, 3, 4, 2, 1, 1, 2, 3, 3, 4, 2, 3, 3, 1, 4, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 4, 1, 0, 1, 4, 4, 0, 4, 1, 4, 2, 3, 1, 2, 3, 4, 0, 2, 3, 4, 0, 2, 2, 1, 4, 0, 2, 1, 4, 2, 3, 3, 1, 0, 4, 2, 0, 4, 0, 3, 2, 3, 1, 3, 2, 0, 3, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 3, 4, 3, 2, 0, 3, 0, 0, 1, 4, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 2, 4, 0, 4, 0, 4, 0, 1, 2, 1, 0, 0, 3, 0, 3, 2, 4, 4, 3, 4, 4, 3, 1, 0, 3, 0, 1, 1, 0, 3, 1, 4, 0, 4, 2, 3, 3, 2, 0, 4, 4, 0, 4, 3, 0, 1, 4, 3, 4, 4, 0, 2, 4, 0, 1, 3, 3, 3, 4, 2, 0, 2, 2, 1, 0] pubkeycol827 = [0, 3, 2, 0, 4, 2, 2, 0, 1, 0, 2, 2, 4, 0, 1, 1, 3, 0, 1, 2, 4, 4, 0, 4, 0, 1, 0, 3, 0, 0, 2, 2, 1, 1, 3, 4, 1, 4, 4, 1, 4, 0, 1, 2, 4, 2, 4, 3, 3, 4, 0, 1, 2, 1, 1, 0, 4, 0, 3, 1, 1, 3, 3, 1, 2, 4, 2, 0, 0, 2, 4, 3, 1, 1, 4, 4, 1, 2, 1, 2, 2, 3, 0, 2, 4, 1, 3, 0, 0, 0, 4, 1, 0, 1, 0, 4, 1, 0, 4, 1, 0, 3, 3, 4, 2, 2, 4, 0, 3, 2, 2, 3, 4, 3, 0, 2, 0, 4, 3, 0, 1, 2, 3, 4, 0, 4, 0, 0, 4, 4, 1, 4, 3, 2, 1, 1, 3, 4, 1, 2, 0, 0, 0, 2, 2, 2, 4, 0, 0, 0, 0, 4, 1, 0, 2, 0, 3, 1, 0, 1, 1, 1, 2, 1, 4, 1, 3, 3, 0, 0, 0, 1, 4, 0, 4, 0, 0, 4, 1, 4, 2, 0, 4, 2, 2, 0, 2, 3, 1, 1, 0, 3, 3, 0, 4, 1, 2, 1, 4, 2, 2, 3, 0, 4, 2, 1, 2, 3, 1, 0, 4, 3, 0, 1, 4, 4, 0, 2, 1, 0, 3, 1, 3, 0, 1, 2, 4, 3, 0, 3, 0, 4, 4, 1, 4, 1, 2, 2, 4, 4, 4, 4, 4, 3, 0, 2, 1, 4, 0, 4, 2, 1, 2, 3, 1, 2, 4, 0, 0, 3, 0, 4, 4, 3, 0, 0, 4, 1, 0, 2, 0, 1, 4, 4, 2, 0, 1, 1, 0, 4, 1, 4, 0, 0, 4, 0, 1, 1, 1, 2, 4, 0, 2, 4, 4, 3, 3, 3, 4, 2, 4, 4, 1, 1, 3, 3, 2, 4, 3, 0, 2, 3, 1, 3, 0, 4, 0, 4, 0, 1, 2, 4, 2, 2, 2, 4, 0, 0, 2, 2, 3, 3, 4, 1, 1, 1, 0, 1, 4, 2, 0, 4, 2, 1, 4, 1, 2, 0, 1, 4, 4, 4, 0, 3, 1, 1, 0, 3, 3, 3, 0, 0, 2, 1, 0, 0, 4, 3, 0, 0, 2, 1, 2, 1, 3, 4, 4, 2, 4, 4, 2, 2, 4, 4, 0, 0, 3, 1, 0, 2, 4, 3, 3, 2, 4, 2, 3, 1, 0, 0, 1, 2, 3, 2, 3, 2, 2, 1, 0, 3, 1, 1, 2, 4, 4, 0, 2, 4, 4, 1, 3, 3, 1, 3, 1, 3, 2, 4, 0, 3, 4, 4, 4, 4, 4, 0, 4, 2, 4, 4, 3, 0, 2, 0, 4, 3, 3, 1, 2, 2, 4, 3, 2, 2, 4, 3, 0, 4, 1, 4, 2, 0, 0, 4, 4, 0, 2, 1, 0, 4, 0, 0, 3, 4, 3, 4, 3, 2, 1, 3] pubkeycol828 = [0, 2, 2, 0, 1, 3, 0, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 3, 1, 3, 0, 0, 4, 0, 3, 3, 4, 1, 2, 1, 4, 2, 4, 4, 0, 4, 2, 2, 1, 3, 4, 4, 3, 3, 1, 4, 0, 2, 3, 2, 2, 4, 4, 1, 3, 1, 3, 0, 3, 4, 1, 3, 1, 1, 0, 0, 0, 2, 1, 3, 2, 2, 0, 3, 4, 1, 1, 0, 1, 2, 4, 3, 3, 4, 0, 3, 1, 4, 2, 0, 2, 3, 4, 0, 0, 0, 2, 1, 4, 1, 0, 4, 3, 3, 3, 0, 4, 4, 3, 1, 1, 3, 0, 2, 2, 0, 3, 2, 2, 4, 4, 1, 2, 0, 1, 4, 1, 0, 4, 0, 0, 3, 4, 2, 0, 0, 1, 3, 2, 1, 3, 1, 0, 4, 3, 3, 0, 0, 1, 3, 2, 1, 4, 1, 0, 4, 4, 0, 4, 4, 3, 2, 2, 3, 2, 3, 3, 2, 3, 3, 0, 4, 1, 4, 0, 4, 4, 0, 4, 2, 3, 4, 3, 3, 4, 0, 2, 0, 3, 3, 3, 4, 3, 4, 3, 2, 3, 0, 4, 4, 3, 2, 4, 1, 4, 1, 3, 1, 3, 0, 2, 4, 0, 3, 4, 1, 3, 0, 0, 2, 0, 0, 4, 1, 0, 2, 2, 4, 0, 4, 0, 0, 3, 2, 4, 1, 2, 2, 1, 2, 2, 0, 2, 1, 4, 1, 0, 3, 0, 4, 1, 1, 1, 3, 0, 4, 2, 1, 0, 2, 3, 3, 1, 2, 1, 1, 1, 3, 4, 4, 4, 1, 1, 0, 0, 4, 0, 0, 1, 3, 0, 2, 3, 4, 1, 0, 2, 1, 2, 1, 2, 1, 3, 1, 3, 3, 3, 1, 1, 0, 0, 4, 4, 0, 1, 0, 0, 3, 4, 1, 2, 3, 2, 1, 3, 1, 0, 3, 4, 4, 1, 4, 1, 0, 0, 3, 0, 1, 4, 1, 2, 2, 3, 4, 4, 4, 4, 2, 2, 1, 2, 4, 1, 4, 1, 1, 2, 3, 1, 1, 4, 0, 4, 4, 0, 3, 3, 4, 4, 1, 0, 0, 4, 0, 2, 0, 0, 4, 0, 4, 4, 3, 0, 4, 0, 0, 4, 2, 3, 1, 1, 1, 1, 1, 3, 1, 2, 1, 2, 0, 3, 2, 1, 0, 2, 4, 0, 0, 3, 0, 1, 0, 0, 0, 2, 4, 0, 2, 4, 1, 1, 4, 1, 3, 0, 1, 0, 1, 3, 3, 1, 0, 3, 1, 4, 2, 1, 2, 4, 2, 1, 4, 0, 1, 0, 0, 2, 2, 1, 4, 2, 0, 4, 0, 4, 1, 1, 4, 3, 1, 2, 0, 4, 0, 1, 4, 3, 4, 3, 3, 0, 0, 2, 2, 1, 0, 3, 4, 0, 3, 0, 3, 0, 1, 4, 3, 3, 1] pubkeycol829 = [3, 2, 1, 2, 1, 3, 3, 1, 4, 3, 1, 1, 3, 1, 4, 0, 3, 0, 0, 2, 2, 0, 0, 2, 1, 0, 3, 0, 1, 0, 4, 4, 2, 1, 3, 1, 0, 4, 4, 3, 4, 4, 4, 0, 3, 3, 3, 1, 1, 1, 4, 2, 3, 2, 4, 3, 4, 0, 3, 0, 2, 2, 3, 0, 1, 0, 0, 1, 0, 2, 0, 3, 1, 2, 1, 4, 2, 4, 3, 3, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 3, 3, 4, 4, 0, 4, 0, 3, 3, 1, 3, 3, 0, 1, 3, 3, 2, 3, 2, 4, 4, 0, 4, 0, 3, 0, 4, 2, 2, 0, 3, 3, 1, 1, 3, 2, 3, 1, 4, 4, 2, 3, 2, 1, 0, 3, 1, 1, 0, 3, 1, 3, 0, 4, 0, 1, 2, 1, 0, 1, 2, 4, 0, 2, 3, 2, 3, 1, 1, 0, 1, 3, 4, 4, 0, 3, 4, 3, 0, 0, 2, 3, 4, 4, 0, 0, 2, 3, 2, 0, 3, 0, 1, 0, 0, 4, 0, 3, 4, 2, 1, 3, 0, 4, 4, 3, 4, 2, 4, 3, 4, 1, 2, 3, 2, 1, 1, 0, 4, 1, 1, 4, 4, 2, 0, 4, 1, 3, 2, 2, 2, 2, 2, 4, 4, 1, 3, 2, 0, 4, 0, 0, 2, 4, 1, 2, 1, 3, 4, 0, 4, 4, 3, 4, 3, 3, 3, 0, 2, 4, 4, 1, 3, 2, 4, 2, 1, 0, 4, 3, 4, 2, 1, 3, 3, 2, 2, 0, 4, 3, 2, 3, 1, 1, 4, 1, 1, 2, 2, 1, 3, 3, 1, 0, 4, 1, 0, 2, 4, 3, 4, 2, 4, 1, 4, 4, 4, 2, 1, 4, 0, 0, 3, 1, 2, 1, 4, 4, 3, 4, 4, 3, 3, 3, 3, 0, 3, 3, 2, 2, 0, 3, 4, 1, 2, 2, 2, 0, 3, 0, 0, 1, 2, 0, 2, 2, 4, 3, 1, 1, 1, 2, 0, 2, 2, 0, 3, 1, 1, 2, 0, 2, 0, 0, 4, 3, 4, 1, 4, 4, 4, 0, 1, 1, 3, 1, 0, 3, 2, 1, 0, 2, 4, 3, 1, 3, 2, 3, 1, 0, 3, 2, 1, 4, 0, 3, 1, 1, 4, 2, 3, 3, 0, 1, 4, 0, 0, 3, 1, 3, 2, 1, 1, 2, 1, 1, 4, 3, 1, 0, 3, 1, 4, 3, 2, 1, 4, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 0, 0, 1, 1, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 1, 0, 0, 4, 3, 1, 0, 2, 1, 0, 2, 0, 4, 2, 1, 3, 4, 1, 2, 0, 0, 3, 0, 4, 4, 0, 3, 4, 1, 3, 4, 1, 0, 4, 4, 2, 1] pubkeycol830 = [3, 0, 0, 2, 2, 2, 3, 2, 1, 3, 3, 4, 2, 4, 1, 3, 0, 0, 0, 2, 1, 3, 0, 3, 2, 0, 2, 4, 3, 4, 1, 3, 3, 2, 2, 3, 3, 4, 0, 0, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 1, 2, 4, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 4, 2, 2, 3, 0, 3, 2, 3, 1, 0, 2, 1, 1, 0, 0, 0, 1, 4, 2, 4, 4, 2, 4, 3, 0, 1, 4, 3, 3, 0, 2, 1, 3, 3, 3, 3, 0, 1, 4, 2, 2, 3, 0, 4, 3, 2, 2, 3, 2, 1, 1, 1, 1, 2, 3, 0, 3, 4, 3, 3, 2, 2, 0, 3, 1, 3, 2, 2, 3, 3, 4, 3, 1, 0, 4, 3, 1, 0, 2, 3, 0, 3, 2, 1, 4, 2, 3, 3, 3, 0, 1, 4, 3, 2, 2, 2, 0, 0, 2, 3, 3, 3, 4, 1, 1, 3, 0, 0, 4, 0, 3, 1, 4, 3, 1, 1, 4, 0, 1, 3, 0, 2, 3, 3, 2, 4, 3, 0, 0, 3, 0, 1, 3, 3, 3, 4, 1, 4, 2, 3, 4, 4, 1, 4, 3, 3, 0, 3, 1, 2, 0, 1, 1, 3, 3, 3, 1, 4, 1, 2, 3, 4, 3, 1, 3, 3, 4, 1, 2, 0, 2, 0, 0, 2, 3, 0, 4, 1, 1, 2, 3, 3, 2, 4, 2, 0, 2, 4, 3, 2, 4, 2, 3, 1, 4, 4, 1, 4, 0, 2, 1, 2, 4, 3, 3, 3, 4, 3, 1, 0, 0, 4, 1, 2, 0, 1, 2, 3, 1, 0, 1, 4, 3, 4, 1, 2, 2, 4, 3, 0, 0, 1, 3, 0, 0, 2, 4, 1, 4, 4, 1, 1, 1, 3, 1, 4, 3, 2, 4, 2, 0, 4, 0, 2, 1, 2, 3, 1, 1, 2, 1, 1, 0, 3, 0, 4, 2, 0, 0, 1, 4, 0, 1, 3, 4, 1, 1, 4, 4, 2, 3, 0, 3, 4, 4, 1, 3, 2, 4, 0, 4, 3, 4, 2, 2, 4, 4, 0, 4, 3, 3, 2, 1, 1, 4, 1, 1, 3, 0, 2, 2, 0, 1, 0, 0, 4, 1, 3, 4, 4, 1, 2, 0, 3, 1, 0, 1, 3, 4, 1, 1, 3, 1, 2, 4, 4, 0, 3, 4, 1, 0, 4, 1, 1, 1, 2, 2, 3, 1, 4, 4, 1, 1, 2, 4, 2, 3, 4, 0, 3, 4, 1, 2, 4, 1, 3, 2, 1, 2, 0, 4, 3, 0, 4, 1, 0, 1, 3, 2, 4, 0, 1, 4, 4, 1, 1, 4, 4, 1, 2, 1, 1, 2, 2, 3, 0, 1, 4, 3, 3, 4, 2, 2, 1, 2, 4, 4] pubkeycol831 = [0, 2, 2, 0, 1, 4, 1, 0, 2, 3, 2, 2, 1, 4, 3, 2, 1, 3, 2, 0, 2, 4, 0, 2, 4, 2, 3, 4, 4, 3, 2, 2, 4, 0, 0, 2, 2, 1, 2, 3, 2, 4, 2, 1, 1, 3, 4, 1, 4, 1, 4, 0, 1, 4, 0, 1, 4, 2, 3, 4, 0, 4, 0, 3, 3, 3, 1, 0, 1, 0, 2, 2, 1, 4, 2, 4, 1, 0, 3, 0, 2, 2, 0, 3, 3, 3, 1, 1, 3, 2, 1, 4, 2, 4, 4, 0, 0, 2, 3, 2, 1, 4, 0, 0, 0, 2, 3, 1, 2, 2, 1, 3, 0, 0, 4, 2, 1, 2, 0, 4, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 0, 3, 0, 1, 1, 4, 0, 4, 3, 3, 1, 0, 0, 4, 3, 0, 1, 1, 2, 2, 3, 2, 4, 3, 1, 3, 4, 2, 3, 4, 4, 1, 1, 2, 0, 4, 0, 3, 0, 1, 4, 3, 0, 2, 1, 0, 4, 4, 4, 2, 4, 3, 0, 1, 2, 3, 3, 1, 3, 4, 3, 0, 4, 1, 0, 0, 3, 4, 3, 2, 0, 3, 3, 0, 2, 3, 1, 4, 4, 2, 4, 1, 3, 2, 0, 1, 3, 3, 0, 3, 3, 1, 0, 4, 4, 0, 0, 0, 2, 4, 4, 3, 2, 0, 4, 0, 2, 0, 3, 4, 4, 0, 0, 3, 4, 4, 1, 0, 0, 3, 4, 3, 1, 3, 2, 1, 0, 1, 1, 3, 4, 3, 0, 1, 4, 1, 2, 3, 4, 0, 4, 1, 1, 2, 3, 4, 3, 4, 3, 2, 2, 4, 0, 1, 2, 4, 3, 2, 0, 3, 4, 3, 3, 1, 1, 1, 1, 2, 3, 3, 4, 1, 2, 1, 0, 2, 2, 3, 1, 1, 3, 4, 2, 0, 1, 1, 1, 2, 0, 2, 4, 4, 2, 4, 1, 3, 1, 1, 0, 1, 0, 0, 2, 1, 3, 4, 2, 0, 3, 2, 0, 0, 2, 1, 0, 0, 4, 4, 4, 4, 3, 3, 4, 4, 3, 0, 1, 2, 4, 0, 2, 1, 1, 4, 2, 1, 4, 2, 4, 0, 2, 0, 3, 2, 0, 2, 0, 4, 4, 1, 3, 1, 1, 2, 1, 0, 2, 3, 4, 0, 3, 4, 2, 3, 4, 3, 3, 1, 2, 1, 1, 0, 1, 4, 4, 0, 1, 2, 1, 2, 1, 4, 2, 2, 2, 1, 3, 2, 4, 2, 3, 2, 1, 1, 0, 2, 0, 1, 4, 1, 1, 4, 0, 0, 3, 3, 2, 2, 3, 3, 4, 3, 2, 3, 1, 2, 4, 0, 3, 0, 0, 1, 2, 4, 2, 1, 2, 0, 2, 1, 3, 4, 4, 0, 2, 4, 3, 2, 2, 2, 4, 3, 0, 2, 0, 2, 1, 0, 4] pubkeycol832 = [2, 4, 1, 2, 1, 3, 1, 1, 0, 2, 3, 0, 3, 0, 2, 2, 4, 0, 3, 3, 1, 0, 3, 3, 1, 4, 1, 4, 0, 0, 3, 1, 3, 2, 3, 0, 0, 0, 1, 1, 4, 1, 1, 2, 0, 4, 3, 3, 4, 1, 3, 3, 0, 1, 0, 2, 1, 2, 3, 2, 3, 1, 0, 4, 3, 1, 3, 3, 2, 3, 1, 4, 3, 1, 3, 0, 0, 2, 2, 4, 0, 1, 1, 2, 2, 4, 0, 2, 4, 4, 3, 3, 2, 1, 4, 4, 3, 4, 2, 3, 2, 1, 3, 3, 0, 0, 4, 4, 0, 4, 4, 2, 2, 0, 1, 3, 0, 1, 0, 0, 2, 1, 1, 3, 4, 4, 4, 2, 3, 3, 2, 2, 3, 0, 0, 3, 1, 4, 2, 0, 3, 0, 0, 0, 4, 2, 4, 1, 2, 4, 1, 1, 2, 2, 4, 1, 3, 0, 0, 2, 1, 4, 1, 4, 0, 0, 2, 0, 4, 4, 2, 0, 2, 4, 0, 3, 0, 0, 1, 1, 3, 4, 2, 3, 2, 4, 0, 1, 0, 1, 1, 3, 4, 2, 3, 0, 2, 4, 3, 2, 0, 3, 1, 4, 0, 4, 3, 1, 1, 2, 0, 1, 1, 4, 3, 4, 4, 4, 3, 2, 0, 2, 0, 0, 2, 2, 1, 4, 3, 0, 3, 0, 0, 1, 4, 2, 4, 3, 0, 2, 3, 4, 2, 1, 0, 2, 2, 0, 3, 2, 4, 3, 4, 2, 1, 0, 4, 2, 0, 2, 0, 3, 3, 3, 4, 2, 0, 2, 3, 2, 4, 3, 2, 4, 4, 0, 3, 0, 0, 3, 0, 0, 1, 4, 3, 0, 4, 4, 3, 1, 3, 4, 2, 1, 0, 4, 1, 2, 1, 0, 2, 0, 3, 2, 1, 2, 2, 4, 3, 1, 4, 0, 2, 2, 1, 1, 3, 3, 3, 1, 3, 1, 1, 3, 1, 2, 2, 1, 3, 2, 3, 3, 0, 4, 3, 4, 0, 2, 1, 1, 0, 4, 3, 4, 0, 2, 1, 4, 2, 3, 3, 2, 2, 0, 4, 1, 1, 2, 4, 1, 0, 1, 3, 1, 1, 1, 3, 3, 4, 4, 2, 0, 3, 3, 3, 2, 3, 4, 4, 4, 4, 3, 2, 2, 1, 0, 2, 4, 3, 3, 2, 1, 0, 3, 2, 0, 2, 1, 0, 4, 2, 1, 2, 1, 2, 4, 2, 1, 4, 0, 3, 3, 4, 4, 0, 4, 4, 1, 3, 2, 0, 3, 4, 1, 4, 1, 3, 4, 3, 4, 2, 4, 0, 2, 3, 1, 3, 2, 0, 4, 1, 3, 4, 1, 3, 0, 4, 1, 4, 2, 1, 1, 0, 4, 3, 1, 2, 3, 3, 0, 0, 1, 4, 1, 1, 4, 3, 2, 0, 4, 4, 4, 4, 1, 0, 3, 0, 2, 3, 0] pubkeycol833 = [4, 1, 2, 0, 0, 2, 4, 3, 2, 3, 4, 2, 4, 0, 0, 1, 2, 2, 0, 1, 4, 4, 2, 4, 3, 0, 0, 0, 2, 1, 3, 2, 4, 4, 4, 1, 4, 1, 2, 1, 2, 2, 3, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 3, 2, 3, 1, 4, 0, 4, 2, 3, 3, 1, 1, 1, 1, 1, 1, 4, 0, 2, 4, 1, 3, 2, 3, 1, 0, 2, 3, 3, 1, 4, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 3, 4, 3, 2, 4, 4, 3, 2, 2, 4, 2, 3, 3, 1, 4, 4, 1, 1, 3, 2, 2, 1, 4, 3, 0, 4, 3, 0, 0, 4, 3, 3, 0, 0, 2, 4, 1, 1, 1, 0, 1, 1, 1, 4, 0, 0, 3, 3, 2, 2, 0, 3, 1, 2, 0, 0, 0, 1, 4, 3, 3, 1, 3, 2, 2, 3, 1, 0, 0, 3, 3, 3, 0, 3, 1, 4, 0, 4, 1, 2, 2, 4, 1, 0, 2, 0, 3, 1, 4, 4, 3, 2, 2, 0, 1, 3, 4, 4, 2, 3, 4, 3, 0, 0, 2, 3, 4, 2, 0, 4, 4, 2, 4, 1, 3, 3, 0, 4, 3, 1, 0, 3, 2, 1, 3, 2, 4, 0, 2, 1, 1, 0, 0, 1, 0, 4, 1, 4, 3, 2, 0, 3, 0, 4, 3, 0, 0, 0, 4, 1, 0, 2, 1, 3, 3, 1, 4, 4, 3, 4, 1, 0, 4, 4, 2, 1, 3, 3, 2, 3, 4, 0, 3, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 4, 2, 4, 3, 4, 0, 2, 1, 0, 1, 1, 2, 3, 1, 2, 4, 1, 3, 0, 1, 4, 1, 0, 1, 2, 2, 3, 0, 0, 2, 2, 4, 1, 0, 0, 1, 0, 0, 0, 4, 0, 1, 1, 1, 2, 4, 2, 2, 4, 3, 1, 4, 1, 4, 1, 3, 0, 1, 2, 4, 2, 2, 3, 2, 4, 4, 1, 1, 3, 4, 4, 0, 4, 2, 1, 2, 0, 3, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 4, 2, 2, 1, 1, 2, 1, 3, 1, 2, 0, 1, 0, 3, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 0, 2, 0, 4, 4, 4, 1, 0, 1, 2, 4, 2, 0, 2, 1, 4, 0, 3, 3, 0, 3, 2, 0, 1, 4, 0, 1, 4, 1, 0, 4, 0, 0, 2, 1, 1, 3, 3, 2, 0, 0, 1, 4, 1, 3, 3, 1, 4, 1, 0, 2, 4, 4, 3, 4, 1, 0, 3, 0, 3, 2, 2, 1, 2, 3, 4, 0, 4, 3, 1, 1, 0, 4, 0, 2, 2, 2] pubkeycol834 = [2, 3, 1, 1, 3, 0, 0, 4, 0, 2, 0, 4, 3, 3, 4, 0, 2, 1, 2, 2, 4, 2, 2, 3, 3, 3, 2, 4, 0, 0, 2, 2, 3, 0, 0, 3, 1, 0, 0, 2, 4, 2, 4, 2, 3, 2, 4, 1, 3, 0, 1, 4, 4, 0, 0, 4, 4, 1, 0, 3, 0, 2, 3, 3, 1, 3, 1, 0, 3, 0, 4, 1, 2, 0, 1, 2, 0, 3, 1, 4, 3, 3, 3, 1, 0, 1, 3, 0, 4, 2, 4, 2, 2, 0, 0, 4, 4, 0, 0, 2, 3, 1, 3, 3, 2, 2, 1, 4, 0, 3, 1, 0, 3, 4, 2, 0, 4, 3, 4, 1, 1, 4, 1, 1, 0, 0, 4, 4, 4, 0, 3, 2, 3, 4, 0, 3, 4, 3, 3, 3, 2, 4, 2, 2, 1, 1, 1, 1, 4, 0, 1, 1, 2, 3, 4, 2, 4, 0, 3, 4, 2, 1, 4, 4, 1, 0, 0, 4, 4, 1, 4, 2, 3, 4, 2, 3, 2, 0, 3, 3, 2, 2, 4, 3, 2, 3, 3, 4, 1, 1, 3, 0, 3, 2, 1, 2, 1, 4, 2, 4, 2, 4, 4, 4, 4, 0, 3, 2, 4, 2, 1, 2, 4, 4, 2, 1, 4, 1, 1, 3, 0, 0, 0, 2, 0, 2, 3, 2, 2, 3, 3, 0, 1, 3, 2, 4, 3, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 3, 4, 1, 0, 2, 2, 1, 1, 1, 2, 3, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 4, 0, 1, 3, 3, 2, 0, 2, 0, 0, 3, 2, 3, 3, 3, 3, 2, 1, 2, 4, 4, 0, 1, 1, 0, 4, 0, 0, 4, 1, 2, 4, 4, 2, 2, 1, 4, 0, 4, 3, 4, 0, 3, 4, 2, 3, 0, 4, 1, 1, 2, 0, 1, 0, 0, 4, 1, 1, 1, 0, 0, 4, 1, 4, 4, 1, 4, 4, 0, 1, 0, 0, 4, 1, 1, 1, 2, 4, 2, 1, 2, 0, 1, 4, 2, 3, 4, 4, 2, 4, 0, 4, 4, 2, 3, 2, 4, 1, 1, 4, 3, 3, 0, 3, 2, 1, 1, 0, 1, 0, 4, 0, 3, 1, 1, 2, 0, 1, 0, 3, 0, 4, 4, 3, 4, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 3, 1, 4, 4, 2, 3, 3, 4, 2, 4, 3, 1, 3, 3, 3, 4, 0, 4, 2, 2, 0, 1, 1, 2, 3, 3, 0, 4, 0, 2, 0, 1, 4, 1, 2, 4, 3, 2, 1, 4, 2, 3, 2, 1, 2, 3, 0, 2, 2, 0, 0, 1, 4, 4, 0, 0, 4, 1, 3, 1, 1, 1, 4, 2, 4, 3, 2, 0, 0, 3, 0, 0, 4, 0] pubkeycol835 = [0, 3, 0, 1, 1, 1, 0, 0, 0, 2, 4, 0, 0, 4, 4, 0, 1, 0, 1, 1, 2, 0, 2, 3, 1, 3, 3, 1, 0, 2, 0, 1, 0, 4, 1, 4, 3, 2, 4, 2, 1, 0, 1, 0, 0, 4, 2, 0, 0, 1, 2, 0, 4, 2, 3, 4, 1, 0, 3, 4, 0, 2, 0, 4, 4, 0, 1, 3, 1, 0, 0, 1, 1, 1, 3, 1, 1, 0, 2, 0, 3, 3, 4, 4, 2, 3, 4, 3, 1, 2, 2, 1, 0, 3, 2, 2, 0, 0, 2, 3, 0, 1, 4, 3, 1, 1, 4, 3, 3, 3, 0, 2, 3, 1, 3, 0, 3, 3, 1, 0, 4, 4, 4, 3, 4, 2, 0, 1, 0, 3, 1, 4, 3, 4, 4, 2, 0, 3, 0, 1, 1, 4, 0, 0, 3, 1, 4, 1, 4, 2, 4, 3, 3, 0, 1, 3, 0, 2, 3, 2, 2, 3, 2, 4, 1, 2, 2, 0, 1, 4, 4, 1, 1, 3, 4, 3, 2, 3, 4, 0, 0, 0, 3, 0, 0, 3, 1, 2, 2, 4, 1, 3, 2, 0, 4, 4, 3, 2, 1, 0, 0, 1, 3, 1, 1, 2, 2, 1, 3, 4, 3, 2, 1, 0, 0, 2, 1, 3, 1, 4, 2, 2, 4, 4, 3, 2, 1, 0, 4, 2, 1, 0, 2, 1, 4, 2, 3, 1, 0, 0, 0, 0, 4, 0, 4, 2, 3, 0, 2, 2, 3, 4, 4, 4, 0, 0, 3, 2, 3, 2, 1, 3, 1, 2, 4, 2, 0, 3, 3, 3, 0, 1, 1, 0, 0, 2, 2, 3, 0, 1, 2, 1, 2, 2, 2, 3, 0, 1, 1, 3, 4, 1, 4, 3, 3, 1, 0, 4, 3, 1, 0, 4, 3, 4, 1, 3, 4, 4, 2, 1, 0, 0, 2, 3, 4, 3, 4, 0, 1, 1, 3, 4, 0, 3, 2, 0, 4, 3, 3, 4, 3, 3, 0, 1, 1, 0, 4, 3, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 2, 4, 1, 1, 4, 4, 3, 1, 0, 2, 2, 2, 3, 0, 2, 4, 1, 2, 0, 0, 1, 1, 0, 2, 4, 3, 2, 1, 3, 0, 4, 0, 4, 3, 1, 3, 4, 0, 4, 3, 0, 0, 3, 3, 2, 1, 3, 4, 0, 3, 2, 4, 3, 3, 0, 0, 1, 0, 1, 4, 4, 1, 4, 0, 3, 4, 3, 3, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 3, 0, 3, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 4, 2, 0, 1, 1, 1, 0, 2, 3, 4, 4, 3, 4, 0, 3, 2, 1, 3, 2, 0, 1, 1, 0, 3, 2, 3, 1, 1, 4, 1, 3, 1, 4, 4, 2, 1, 2, 1, 0, 3] pubkeycol836 = [3, 3, 3, 2, 1, 4, 4, 1, 0, 4, 0, 1, 1, 0, 0, 4, 3, 0, 0, 3, 3, 4, 1, 1, 0, 2, 2, 1, 4, 2, 2, 4, 3, 4, 2, 0, 3, 4, 0, 3, 3, 3, 3, 4, 1, 4, 1, 1, 0, 1, 2, 0, 1, 0, 1, 3, 0, 1, 1, 0, 2, 0, 2, 1, 2, 4, 4, 3, 1, 3, 1, 4, 1, 0, 0, 1, 0, 3, 4, 2, 4, 3, 1, 0, 2, 2, 0, 4, 4, 1, 1, 2, 2, 0, 1, 1, 4, 2, 1, 2, 4, 0, 2, 1, 3, 0, 3, 4, 3, 1, 0, 3, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 3, 3, 4, 3, 0, 3, 2, 0, 1, 3, 1, 2, 3, 3, 3, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 4, 3, 2, 0, 1, 1, 2, 3, 0, 3, 2, 1, 2, 4, 0, 4, 3, 4, 4, 3, 3, 2, 3, 1, 3, 0, 1, 4, 2, 1, 2, 0, 4, 0, 3, 3, 3, 4, 3, 1, 3, 0, 4, 4, 3, 1, 1, 1, 4, 3, 2, 0, 2, 2, 0, 0, 0, 0, 3, 1, 4, 4, 2, 0, 3, 3, 3, 1, 3, 0, 3, 3, 1, 2, 1, 0, 2, 1, 2, 1, 0, 4, 0, 3, 1, 2, 0, 2, 2, 1, 3, 3, 1, 2, 4, 3, 2, 2, 4, 2, 1, 1, 3, 4, 1, 3, 2, 4, 2, 2, 0, 3, 3, 0, 2, 0, 4, 1, 2, 0, 3, 3, 4, 1, 2, 1, 2, 4, 3, 2, 2, 2, 4, 0, 2, 2, 0, 3, 4, 4, 3, 1, 3, 4, 1, 3, 4, 4, 1, 1, 3, 0, 3, 3, 2, 1, 2, 3, 4, 1, 3, 0, 2, 3, 4, 1, 4, 2, 2, 3, 2, 1, 2, 0, 3, 0, 2, 3, 0, 3, 3, 2, 0, 1, 1, 3, 4, 0, 1, 4, 0, 4, 3, 0, 4, 4, 1, 4, 1, 3, 1, 3, 3, 3, 3, 0, 1, 2, 3, 1, 1, 1, 4, 1, 0, 0, 1, 2, 1, 2, 4, 4, 1, 4, 3, 2, 2, 1, 2, 0, 3, 4, 2, 4, 0, 0, 4, 2, 0, 2, 4, 1, 3, 4, 4, 3, 3, 3, 0, 3, 1, 2, 2, 1, 4, 3, 2, 0, 4, 4, 2, 3, 3, 2, 4, 1, 0, 1, 1, 0, 4, 2, 0, 3, 3, 0, 0, 1, 0, 0, 0, 1, 3, 4, 4, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 3, 3, 1, 2, 4, 2, 1, 2, 3, 3, 0, 2, 2, 1, 2, 3, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 4, 1, 2] pubkeycol837 = [1, 1, 1, 4, 1, 0, 3, 2, 0, 0, 1, 1, 4, 2, 4, 4, 0, 1, 1, 0, 3, 2, 3, 0, 1, 4, 2, 2, 3, 0, 0, 0, 0, 3, 4, 0, 0, 3, 4, 4, 1, 1, 0, 0, 0, 3, 2, 2, 0, 0, 2, 4, 3, 0, 0, 0, 1, 3, 1, 0, 2, 1, 4, 4, 1, 0, 2, 0, 2, 4, 3, 2, 0, 3, 2, 2, 2, 0, 3, 3, 3, 3, 2, 3, 3, 2, 1, 1, 1, 2, 3, 1, 3, 0, 4, 1, 0, 2, 3, 4, 4, 0, 3, 4, 2, 4, 4, 3, 1, 0, 2, 2, 1, 2, 2, 1, 3, 1, 3, 1, 2, 2, 4, 0, 1, 3, 0, 1, 4, 2, 1, 3, 4, 4, 3, 4, 0, 2, 3, 1, 0, 0, 2, 0, 3, 3, 0, 1, 2, 1, 1, 3, 2, 0, 1, 1, 2, 4, 2, 4, 1, 0, 2, 0, 1, 2, 3, 3, 2, 4, 0, 3, 0, 2, 0, 4, 0, 4, 2, 2, 4, 1, 3, 2, 1, 3, 2, 1, 3, 2, 3, 4, 0, 0, 3, 1, 0, 2, 2, 3, 2, 0, 3, 1, 3, 2, 3, 3, 3, 3, 2, 2, 2, 4, 1, 0, 2, 4, 0, 2, 3, 0, 2, 0, 1, 2, 4, 1, 3, 1, 1, 2, 4, 0, 4, 0, 4, 0, 0, 2, 2, 4, 3, 1, 0, 0, 0, 2, 1, 2, 3, 2, 1, 4, 1, 1, 1, 1, 1, 3, 4, 2, 2, 2, 3, 3, 2, 1, 3, 0, 1, 1, 0, 1, 0, 0, 0, 4, 4, 4, 2, 3, 1, 0, 0, 3, 1, 0, 0, 2, 0, 4, 1, 2, 0, 0, 0, 2, 3, 4, 0, 0, 2, 3, 2, 1, 2, 1, 3, 2, 1, 2, 3, 4, 3, 3, 2, 1, 0, 4, 0, 0, 1, 3, 3, 2, 4, 2, 2, 3, 0, 4, 4, 0, 0, 1, 4, 1, 1, 0, 1, 3, 2, 2, 4, 3, 3, 4, 4, 0, 1, 3, 1, 3, 4, 2, 2, 4, 3, 2, 4, 2, 3, 3, 0, 1, 1, 1, 3, 2, 1, 0, 2, 1, 4, 4, 1, 0, 0, 1, 1, 4, 4, 2, 3, 3, 1, 1, 1, 1, 0, 2, 3, 3, 1, 1, 1, 3, 4, 1, 2, 0, 2, 3, 1, 2, 0, 4, 1, 0, 1, 1, 3, 1, 3, 4, 4, 4, 4, 3, 2, 4, 0, 0, 0, 4, 1, 3, 2, 4, 4, 3, 0, 3, 1, 3, 4, 1, 0, 2, 0, 3, 1, 4, 0, 1, 0, 1, 0, 0, 1, 4, 2, 0, 4, 4, 2, 4, 0, 0, 3, 3, 4, 3, 0, 1, 4, 4, 3, 4, 3, 4, 2, 2, 2, 3, 1, 4, 0, 2] pubkeycol838 = [1, 3, 4, 3, 4, 1, 2, 0, 4, 2, 0, 1, 4, 4, 3, 4, 4, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 3, 2, 4, 0, 2, 3, 1, 1, 0, 1, 3, 2, 3, 1, 1, 0, 1, 4, 1, 2, 4, 1, 2, 1, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 4, 1, 4, 1, 3, 2, 1, 4, 1, 2, 0, 1, 0, 0, 1, 4, 4, 4, 4, 1, 1, 2, 3, 4, 4, 1, 3, 2, 3, 4, 4, 0, 0, 2, 4, 1, 1, 4, 0, 3, 0, 3, 3, 0, 1, 0, 3, 3, 0, 2, 2, 3, 0, 2, 3, 3, 3, 3, 2, 1, 4, 3, 4, 1, 2, 3, 4, 2, 0, 3, 2, 0, 4, 4, 0, 2, 3, 4, 3, 0, 3, 0, 4, 4, 4, 0, 4, 3, 0, 1, 4, 0, 1, 4, 2, 1, 3, 1, 3, 4, 0, 0, 3, 3, 4, 4, 1, 3, 0, 3, 2, 4, 4, 4, 2, 4, 4, 4, 3, 1, 4, 0, 4, 4, 3, 1, 3, 0, 3, 0, 4, 4, 2, 1, 0, 3, 1, 2, 0, 0, 1, 3, 1, 0, 0, 1, 2, 2, 4, 3, 4, 3, 4, 2, 2, 1, 1, 0, 3, 4, 4, 4, 2, 3, 1, 0, 2, 2, 2, 3, 3, 1, 3, 0, 2, 0, 2, 3, 3, 3, 1, 0, 0, 1, 2, 0, 4, 4, 1, 2, 4, 0, 1, 0, 3, 2, 4, 2, 3, 1, 4, 0, 0, 0, 1, 3, 2, 1, 2, 2, 0, 3, 2, 4, 0, 4, 2, 3, 0, 2, 4, 0, 1, 3, 1, 3, 1, 4, 3, 3, 3, 4, 3, 0, 3, 0, 0, 1, 0, 2, 3, 1, 3, 1, 0, 1, 4, 2, 4, 2, 4, 3, 1, 1, 3, 4, 3, 1, 0, 3, 3, 2, 3, 0, 1, 1, 3, 1, 4, 4, 2, 3, 1, 2, 4, 0, 1, 3, 4, 4, 3, 1, 4, 0, 0, 2, 4, 1, 0, 4, 1, 4, 1, 3, 2, 3, 2, 1, 2, 2, 4, 3, 3, 4, 0, 0, 2, 1, 3, 3, 0, 1, 0, 3, 2, 0, 1, 2, 2, 1, 0, 2, 4, 0, 1, 0, 3, 1, 0, 3, 2, 0, 2, 0, 0, 4, 4, 0, 1, 0, 2, 1, 2, 1, 1, 1, 3, 0, 2, 3, 4, 0, 0, 3, 4, 4, 2, 3, 3, 0, 4, 0, 1, 2, 1, 4, 1, 0, 4, 0, 3, 3, 2, 0, 1, 0, 4, 2, 2, 2, 0, 1, 4, 1, 3, 0, 4, 2, 0, 4, 0, 3, 3, 2, 2, 1, 2, 0, 4, 3, 2, 1, 0, 3, 0, 1, 3, 1, 0, 3, 3, 4, 2, 2, 0, 4, 4, 1] pubkeycol839 = [2, 1, 1, 4, 1, 0, 1, 0, 0, 2, 1, 1, 2, 3, 1, 3, 3, 4, 1, 2, 1, 1, 3, 2, 4, 4, 1, 4, 1, 1, 2, 3, 3, 2, 3, 0, 4, 0, 1, 3, 0, 2, 0, 1, 0, 3, 1, 1, 1, 1, 3, 1, 2, 4, 2, 1, 0, 0, 0, 0, 3, 1, 1, 3, 4, 3, 3, 1, 0, 2, 3, 1, 1, 3, 1, 1, 0, 2, 1, 4, 2, 0, 3, 0, 2, 2, 2, 4, 2, 1, 2, 0, 3, 4, 1, 4, 2, 3, 0, 3, 3, 2, 2, 0, 2, 0, 0, 2, 3, 0, 0, 1, 2, 2, 0, 1, 3, 0, 4, 4, 4, 1, 1, 3, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 3, 3, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 4, 1, 0, 3, 1, 3, 1, 2, 0, 4, 0, 0, 0, 3, 1, 4, 3, 0, 1, 0, 0, 1, 3, 0, 1, 4, 0, 3, 0, 1, 1, 1, 3, 0, 4, 1, 2, 4, 4, 3, 4, 1, 1, 0, 0, 4, 2, 0, 3, 0, 3, 0, 2, 4, 2, 2, 0, 0, 0, 2, 4, 4, 3, 4, 4, 4, 1, 4, 2, 3, 1, 0, 1, 3, 0, 0, 0, 3, 0, 4, 2, 0, 2, 4, 1, 1, 4, 2, 2, 1, 0, 4, 2, 0, 4, 0, 2, 2, 1, 1, 3, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 3, 3, 0, 1, 0, 4, 0, 2, 1, 1, 1, 3, 4, 1, 2, 3, 0, 1, 3, 0, 3, 1, 3, 1, 0, 2, 0, 3, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 4, 0, 0, 1, 3, 3, 3, 3, 3, 0, 4, 0, 2, 3, 2, 0, 4, 0, 2, 0, 0, 4, 3, 3, 4, 2, 1, 1, 3, 3, 0, 1, 2, 0, 0, 1, 4, 2, 4, 4, 3, 4, 3, 4, 2, 0, 3, 1, 2, 4, 4, 4, 2, 1, 0, 2, 4, 3, 0, 1, 0, 4, 2, 0, 1, 0, 2, 4, 3, 0, 1, 3, 2, 3, 3, 0, 2, 4, 1, 2, 3, 4, 3, 3, 2, 1, 4, 3, 2, 3, 2, 4, 2, 0, 3, 2, 0, 4, 4, 0, 0, 4, 0, 3, 2, 2, 3, 4, 1, 1, 3, 0, 1, 0, 0, 3, 1, 4, 0, 2, 1, 2, 0, 0, 0, 4, 3, 4, 2, 4, 4, 2, 4, 0, 2, 1, 1, 2, 1, 1, 1, 4, 1, 0, 1, 1, 1, 0, 1, 2, 3, 1, 0, 4, 2, 4, 0, 3, 2, 2, 1, 0, 1, 4, 4, 3, 2, 0, 1, 2, 0, 2, 1, 2, 0, 4] pubkeycol840 = [3, 4, 0, 2, 1, 1, 4, 1, 1, 1, 0, 4, 2, 3, 0, 3, 3, 3, 4, 3, 4, 3, 0, 2, 3, 4, 0, 3, 4, 4, 3, 4, 2, 3, 3, 3, 0, 4, 2, 1, 0, 0, 0, 0, 1, 3, 1, 1, 4, 0, 2, 0, 4, 1, 3, 4, 4, 1, 3, 3, 4, 0, 1, 2, 4, 0, 1, 0, 1, 0, 0, 1, 2, 4, 3, 2, 2, 1, 2, 3, 0, 0, 1, 3, 0, 0, 4, 0, 0, 0, 4, 4, 4, 1, 2, 2, 4, 1, 0, 4, 3, 4, 0, 0, 4, 0, 0, 0, 0, 4, 3, 2, 1, 1, 4, 2, 4, 1, 3, 4, 0, 3, 3, 2, 4, 4, 1, 2, 2, 1, 3, 2, 3, 1, 1, 1, 3, 1, 3, 1, 3, 1, 2, 2, 4, 1, 4, 0, 1, 3, 1, 2, 2, 0, 4, 0, 3, 0, 3, 3, 2, 3, 0, 0, 2, 4, 2, 4, 2, 0, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 2, 4, 2, 1, 2, 2, 2, 2, 3, 1, 0, 4, 1, 4, 1, 2, 0, 4, 1, 2, 1, 2, 0, 0, 4, 0, 2, 0, 2, 1, 3, 2, 3, 0, 0, 1, 0, 1, 1, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 4, 2, 0, 0, 4, 0, 4, 3, 4, 2, 3, 4, 0, 3, 2, 1, 3, 0, 0, 0, 2, 3, 2, 3, 0, 2, 3, 0, 4, 0, 1, 4, 4, 1, 0, 3, 4, 1, 0, 3, 0, 1, 0, 2, 4, 3, 2, 0, 3, 1, 0, 0, 3, 0, 3, 3, 1, 1, 2, 4, 4, 2, 4, 4, 3, 1, 1, 2, 4, 1, 2, 2, 0, 0, 1, 4, 2, 0, 1, 1, 1, 1, 3, 2, 0, 2, 0, 0, 3, 2, 1, 1, 4, 1, 1, 3, 4, 0, 0, 1, 0, 1, 0, 4, 1, 4, 1, 3, 0, 1, 0, 1, 2, 4, 0, 4, 3, 4, 0, 0, 0, 3, 3, 1, 0, 3, 0, 0, 4, 2, 0, 3, 0, 3, 1, 4, 3, 4, 0, 4, 1, 2, 2, 2, 3, 2, 3, 2, 3, 3, 1, 3, 1, 4, 3, 2, 1, 3, 2, 3, 4, 0, 0, 0, 1, 3, 1, 2, 1, 2, 1, 0, 4, 3, 2, 2, 0, 3, 1, 3, 0, 1, 1, 3, 4, 4, 0, 2, 4, 4, 0, 4, 1, 1, 1, 0, 1, 4, 4, 1, 0, 2, 3, 1, 0, 0, 1, 4, 1, 3, 0, 1, 4, 0, 2, 1, 3, 0, 2, 1, 4, 2, 0, 0, 3, 0, 2, 4, 2, 4, 3, 3, 4, 4, 3, 3, 2, 2, 3, 4, 0, 4, 2, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol841 = [2, 1, 0, 3, 4, 1, 1, 2, 1, 3, 1, 2, 0, 0, 0, 4, 0, 3, 3, 1, 0, 3, 0, 4, 0, 1, 2, 3, 3, 4, 0, 0, 3, 1, 2, 3, 2, 1, 0, 2, 1, 0, 1, 0, 3, 2, 3, 0, 3, 3, 1, 3, 0, 4, 1, 3, 1, 2, 0, 3, 0, 0, 1, 3, 4, 3, 3, 3, 1, 0, 3, 3, 3, 4, 2, 4, 2, 0, 3, 0, 3, 1, 2, 2, 0, 2, 3, 0, 2, 1, 4, 2, 3, 2, 3, 2, 0, 1, 1, 1, 2, 3, 1, 2, 1, 2, 4, 2, 4, 1, 3, 4, 2, 4, 1, 1, 0, 3, 3, 4, 2, 2, 2, 1, 4, 0, 1, 1, 4, 1, 3, 4, 0, 2, 1, 1, 0, 1, 3, 3, 1, 0, 3, 1, 1, 4, 2, 1, 2, 3, 4, 1, 0, 3, 1, 0, 2, 2, 1, 3, 0, 2, 0, 1, 2, 2, 3, 3, 1, 2, 4, 2, 2, 3, 2, 2, 2, 4, 0, 1, 3, 2, 0, 0, 3, 1, 3, 2, 4, 3, 2, 1, 4, 2, 4, 3, 3, 3, 4, 2, 4, 0, 3, 4, 1, 3, 2, 2, 2, 3, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 4, 0, 0, 3, 3, 0, 3, 4, 3, 0, 4, 0, 3, 2, 4, 0, 2, 2, 0, 1, 3, 4, 3, 3, 4, 2, 0, 2, 4, 4, 2, 3, 3, 2, 1, 1, 3, 4, 4, 2, 2, 0, 1, 3, 3, 0, 3, 0, 0, 4, 3, 4, 0, 1, 0, 1, 0, 2, 3, 1, 4, 0, 3, 0, 4, 2, 3, 2, 1, 0, 3, 4, 0, 1, 2, 3, 0, 0, 2, 2, 2, 0, 2, 0, 4, 4, 3, 0, 2, 3, 2, 1, 1, 4, 4, 3, 2, 0, 2, 0, 1, 4, 3, 4, 1, 3, 2, 4, 2, 1, 0, 4, 0, 4, 2, 2, 4, 0, 3, 2, 4, 4, 3, 0, 0, 4, 4, 1, 3, 0, 1, 4, 1, 2, 4, 0, 3, 3, 1, 4, 4, 3, 3, 2, 4, 2, 2, 0, 2, 2, 3, 4, 2, 3, 1, 4, 1, 2, 2, 0, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 0, 2, 0, 1, 1, 1, 1, 3, 0, 3, 1, 0, 0, 3, 1, 0, 0, 2, 3, 0, 3, 2, 2, 2, 3, 4, 0, 4, 3, 3, 4, 0, 0, 4, 0, 3, 1, 4, 3, 2, 3, 1, 1, 4, 4, 2, 4, 4, 3, 4, 0, 0, 4, 4, 0, 1, 3, 3, 0, 1, 0, 4, 0, 4, 3, 4, 2, 2, 0, 3, 1, 0, 4, 0, 2, 3, 1, 0, 1, 0, 4, 2, 4, 4, 1, 2, 4, 1, 1, 1] pubkeycol842 = [2, 3, 4, 1, 1, 2, 2, 1, 1, 3, 2, 0, 2, 1, 0, 0, 4, 2, 2, 2, 2, 0, 4, 1, 4, 2, 2, 3, 0, 3, 1, 3, 1, 0, 2, 3, 3, 1, 3, 2, 4, 3, 2, 4, 3, 2, 4, 0, 4, 0, 0, 0, 2, 2, 3, 1, 4, 0, 2, 2, 3, 2, 1, 2, 1, 3, 2, 4, 3, 4, 0, 1, 4, 0, 1, 2, 3, 0, 0, 0, 0, 1, 3, 2, 2, 3, 3, 2, 0, 2, 2, 3, 4, 4, 3, 2, 4, 3, 1, 1, 3, 0, 1, 4, 0, 4, 4, 0, 0, 0, 3, 1, 4, 0, 4, 3, 1, 0, 2, 4, 2, 1, 3, 2, 4, 0, 4, 1, 2, 3, 4, 1, 1, 1, 4, 2, 3, 2, 0, 3, 1, 3, 0, 4, 4, 1, 0, 0, 4, 3, 2, 3, 4, 3, 3, 0, 2, 2, 4, 2, 1, 1, 0, 4, 3, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 4, 3, 0, 2, 3, 4, 2, 0, 0, 4, 3, 3, 4, 0, 4, 4, 4, 3, 0, 3, 1, 1, 4, 1, 2, 0, 3, 1, 2, 4, 1, 0, 3, 3, 0, 4, 2, 3, 4, 4, 2, 3, 0, 2, 0, 1, 3, 3, 4, 1, 2, 1, 3, 4, 1, 3, 4, 3, 1, 1, 3, 1, 1, 0, 2, 3, 0, 1, 2, 2, 4, 4, 3, 4, 3, 1, 0, 1, 1, 1, 2, 4, 0, 4, 2, 4, 2, 4, 0, 2, 2, 1, 1, 0, 3, 0, 2, 2, 3, 1, 4, 0, 4, 1, 0, 3, 4, 0, 2, 4, 4, 1, 4, 2, 1, 3, 0, 4, 1, 4, 0, 1, 3, 1, 2, 2, 3, 2, 2, 3, 0, 4, 0, 1, 3, 0, 1, 3, 0, 4, 0, 3, 0, 2, 3, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 3, 3, 1, 3, 4, 2, 3, 3, 1, 4, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 4, 0, 1, 3, 0, 0, 2, 1, 2, 4, 4, 2, 2, 4, 2, 1, 4, 1, 4, 1, 4, 4, 0, 3, 1, 4, 3, 1, 3, 0, 2, 1, 4, 0, 0, 3, 3, 4, 1, 1, 3, 4, 4, 0, 3, 1, 0, 0, 1, 1, 1, 2, 3, 2, 0, 4, 3, 2, 3, 4, 0, 0, 2, 1, 0, 3, 1, 4, 3, 1, 1, 0, 3, 0, 2, 1, 4, 1, 4, 3, 4, 3, 0, 2, 0, 0, 0, 4, 4, 1, 0, 2, 1, 4, 4, 4, 1, 2, 0, 4, 3, 0, 0, 1, 1, 0, 0, 3, 1, 0, 2, 3, 3, 4, 4, 3, 4, 1, 2, 3, 4, 4, 1, 0, 3, 2, 3, 3, 1, 0] pubkeycol843 = [4, 0, 1, 3, 2, 1, 3, 2, 3, 1, 3, 2, 4, 3, 2, 4, 4, 1, 3, 4, 1, 1, 4, 0, 3, 1, 3, 3, 2, 3, 0, 0, 2, 3, 3, 0, 0, 2, 4, 3, 0, 0, 2, 2, 1, 1, 3, 4, 1, 3, 4, 1, 1, 2, 2, 2, 2, 0, 2, 4, 2, 4, 1, 1, 1, 1, 2, 3, 1, 0, 3, 2, 4, 4, 3, 1, 2, 2, 1, 1, 0, 4, 2, 1, 3, 0, 0, 2, 3, 0, 1, 3, 1, 1, 0, 3, 4, 3, 4, 1, 3, 0, 2, 3, 4, 1, 1, 3, 3, 2, 4, 4, 3, 1, 3, 2, 3, 3, 2, 0, 0, 0, 2, 4, 1, 4, 4, 2, 3, 0, 0, 4, 0, 3, 4, 0, 0, 2, 3, 4, 3, 0, 4, 4, 3, 0, 2, 2, 4, 3, 1, 0, 0, 2, 4, 2, 0, 0, 4, 1, 0, 0, 1, 1, 3, 2, 3, 1, 2, 1, 1, 4, 2, 0, 1, 0, 1, 3, 3, 4, 0, 3, 1, 3, 4, 4, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 0, 3, 1, 3, 0, 4, 2, 2, 1, 1, 0, 0, 3, 1, 2, 0, 2, 4, 3, 0, 4, 1, 2, 2, 3, 4, 2, 1, 4, 3, 2, 2, 4, 2, 3, 2, 0, 2, 1, 0, 0, 3, 1, 2, 4, 4, 3, 4, 2, 4, 3, 0, 4, 0, 4, 1, 4, 0, 3, 2, 3, 4, 3, 1, 2, 2, 4, 1, 0, 1, 1, 1, 4, 3, 1, 3, 0, 0, 3, 3, 1, 3, 4, 3, 2, 0, 2, 3, 2, 2, 2, 0, 2, 2, 4, 4, 2, 0, 4, 1, 2, 3, 0, 3, 2, 3, 1, 3, 2, 2, 3, 2, 4, 4, 4, 1, 3, 2, 2, 0, 3, 1, 4, 4, 1, 4, 1, 2, 2, 3, 4, 4, 4, 0, 0, 3, 0, 0, 0, 4, 0, 4, 4, 3, 2, 2, 3, 4, 0, 1, 1, 3, 0, 4, 1, 3, 0, 4, 3, 1, 3, 4, 2, 0, 1, 4, 4, 4, 3, 0, 0, 0, 0, 2, 4, 2, 0, 2, 1, 3, 3, 0, 4, 1, 4, 2, 0, 4, 2, 0, 1, 0, 0, 0, 3, 4, 0, 2, 3, 0, 1, 2, 4, 1, 0, 4, 0, 2, 2, 0, 3, 1, 2, 3, 1, 2, 2, 1, 2, 4, 1, 1, 2, 4, 0, 2, 2, 1, 3, 3, 2, 2, 2, 4, 2, 2, 2, 2, 2, 1, 3, 4, 0, 0, 4, 4, 1, 4, 1, 3, 3, 2, 4, 3, 3, 4, 2, 4, 1, 3, 0, 2, 4, 3, 0, 1, 4, 3, 1, 1, 3, 1, 3, 0, 0, 2, 1, 4, 4, 1, 4, 4, 3, 4] pubkeycol844 = [3, 3, 3, 0, 3, 4, 0, 0, 4, 1, 4, 2, 0, 4, 4, 4, 3, 3, 0, 4, 1, 1, 2, 3, 4, 2, 1, 1, 2, 1, 4, 4, 1, 3, 1, 3, 1, 4, 1, 0, 3, 1, 1, 4, 0, 1, 4, 4, 2, 1, 0, 3, 3, 1, 0, 2, 0, 0, 2, 1, 4, 0, 2, 0, 0, 0, 2, 3, 0, 1, 2, 3, 4, 1, 2, 3, 1, 0, 2, 3, 0, 3, 1, 4, 0, 1, 0, 0, 0, 4, 3, 0, 2, 2, 0, 1, 4, 3, 2, 2, 0, 1, 1, 2, 3, 0, 4, 1, 3, 2, 4, 0, 3, 3, 2, 3, 4, 4, 0, 0, 0, 3, 3, 2, 0, 0, 4, 4, 2, 1, 3, 3, 2, 4, 0, 1, 0, 1, 0, 4, 2, 0, 4, 3, 4, 2, 0, 1, 4, 1, 1, 0, 3, 3, 3, 1, 2, 1, 0, 3, 1, 0, 3, 3, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 4, 3, 1, 2, 0, 3, 0, 2, 0, 4, 4, 0, 0, 2, 1, 2, 1, 2, 4, 0, 1, 0, 2, 3, 1, 4, 2, 2, 0, 4, 4, 2, 1, 2, 4, 0, 4, 0, 0, 0, 2, 4, 2, 2, 1, 1, 4, 1, 4, 4, 4, 2, 0, 3, 0, 1, 2, 0, 3, 2, 0, 4, 3, 3, 1, 3, 0, 3, 3, 1, 3, 0, 2, 2, 3, 0, 4, 3, 1, 2, 3, 4, 3, 1, 1, 3, 3, 0, 4, 1, 0, 2, 1, 3, 1, 1, 2, 2, 1, 4, 2, 2, 3, 4, 0, 3, 2, 3, 3, 3, 4, 1, 0, 4, 0, 3, 0, 1, 3, 4, 2, 2, 2, 2, 1, 1, 2, 3, 3, 4, 1, 4, 2, 4, 3, 1, 3, 1, 3, 4, 3, 1, 4, 3, 1, 4, 1, 3, 4, 1, 3, 1, 2, 3, 4, 3, 4, 0, 0, 4, 3, 1, 4, 3, 1, 0, 2, 0, 4, 0, 4, 3, 3, 1, 0, 4, 3, 0, 4, 1, 4, 3, 1, 2, 2, 1, 1, 3, 4, 0, 3, 3, 1, 4, 4, 2, 1, 0, 1, 1, 3, 2, 4, 2, 3, 0, 0, 1, 0, 1, 4, 4, 4, 2, 1, 1, 0, 2, 0, 1, 0, 2, 4, 2, 2, 3, 2, 3, 0, 3, 0, 3, 1, 2, 1, 0, 4, 1, 2, 0, 2, 3, 3, 4, 0, 3, 4, 0, 1, 4, 4, 1, 3, 0, 2, 3, 4, 4, 1, 4, 1, 0, 1, 0, 0, 2, 4, 2, 0, 0, 0, 0, 2, 3, 3, 1, 4, 3, 1, 4, 4, 3, 3, 2, 4, 2, 3, 2, 1, 3, 4, 1, 4, 0, 3, 0, 4, 2, 4, 2, 0, 2, 4, 2, 2] pubkeycol845 = [3, 3, 0, 2, 3, 1, 3, 4, 1, 4, 4, 3, 0, 4, 4, 3, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 4, 0, 4, 1, 0, 3, 0, 1, 0, 2, 1, 0, 1, 0, 4, 3, 4, 0, 3, 4, 1, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 4, 3, 2, 4, 2, 0, 2, 1, 0, 4, 1, 2, 3, 4, 4, 4, 2, 4, 1, 3, 0, 4, 4, 0, 4, 3, 0, 0, 0, 1, 2, 3, 3, 1, 0, 4, 3, 4, 3, 2, 0, 3, 4, 4, 0, 2, 3, 4, 0, 2, 2, 1, 0, 0, 4, 0, 1, 3, 4, 4, 0, 1, 2, 2, 0, 2, 1, 3, 1, 0, 2, 4, 4, 2, 4, 0, 1, 0, 1, 3, 0, 2, 1, 4, 0, 4, 1, 4, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 3, 0, 4, 4, 0, 0, 3, 3, 0, 0, 4, 0, 3, 2, 0, 2, 3, 0, 2, 3, 4, 1, 0, 0, 0, 2, 2, 1, 4, 0, 1, 0, 2, 1, 3, 3, 4, 3, 0, 2, 1, 3, 0, 2, 1, 2, 4, 2, 0, 2, 0, 4, 4, 1, 1, 1, 1, 3, 3, 1, 0, 1, 4, 1, 1, 0, 1, 2, 2, 1, 1, 3, 3, 0, 3, 3, 1, 3, 3, 3, 3, 2, 0, 1, 2, 3, 2, 3, 1, 0, 0, 0, 4, 4, 0, 1, 3, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 3, 0, 2, 2, 4, 4, 3, 1, 4, 4, 4, 0, 3, 0, 0, 1, 3, 1, 4, 0, 0, 3, 3, 1, 3, 2, 4, 4, 3, 4, 3, 0, 2, 0, 0, 3, 0, 4, 1, 4, 3, 1, 0, 3, 4, 3, 2, 0, 0, 3, 2, 1, 2, 2, 0, 0, 2, 1, 3, 1, 4, 2, 2, 0, 1, 0, 4, 0, 2, 3, 1, 4, 2, 2, 0, 1, 1, 1, 4, 0, 4, 4, 0, 3, 4, 2, 1, 4, 2, 2, 0, 3, 0, 3, 0, 3, 2, 3, 2, 1, 1, 1, 4, 1, 2, 4, 4, 2, 1, 3, 3, 3, 1, 0, 0, 1, 2, 3, 4, 0, 0, 0, 0, 1, 3, 2, 0, 2, 4, 0, 0, 2, 3, 2, 2, 3, 4, 2, 3, 2, 4, 2, 3, 1, 3, 4, 2, 4, 1, 3, 4, 4, 2, 3, 2, 2, 3, 4, 3, 4, 0, 4, 4, 3, 4, 2, 4, 1, 3, 0, 1, 1, 0, 2, 3, 1, 0, 1, 1, 4, 3, 2, 2, 1, 1, 3, 0, 4, 2, 1, 0, 3, 0, 0, 0, 4, 3, 4, 4, 2, 2, 3, 0, 0, 3, 4, 2, 3, 2, 4, 0, 1, 2] pubkeycol846 = [3, 2, 2, 4, 3, 3, 1, 1, 4, 3, 2, 2, 3, 0, 0, 3, 0, 4, 3, 1, 3, 2, 0, 2, 0, 4, 4, 3, 3, 1, 2, 2, 4, 0, 4, 2, 4, 1, 1, 2, 4, 0, 2, 4, 3, 3, 3, 3, 1, 2, 1, 4, 0, 4, 3, 3, 2, 4, 3, 1, 1, 2, 3, 0, 2, 0, 0, 2, 1, 3, 2, 2, 0, 4, 4, 3, 3, 0, 0, 2, 1, 4, 2, 2, 2, 3, 2, 4, 1, 4, 0, 3, 4, 4, 4, 2, 4, 1, 1, 4, 0, 0, 1, 4, 4, 1, 1, 3, 2, 3, 4, 2, 4, 4, 3, 3, 0, 4, 2, 2, 2, 4, 3, 0, 0, 3, 1, 2, 2, 1, 4, 4, 4, 4, 0, 3, 2, 2, 1, 3, 2, 1, 1, 4, 2, 2, 1, 2, 2, 0, 2, 3, 0, 2, 1, 1, 2, 2, 1, 4, 4, 1, 4, 4, 1, 3, 3, 4, 3, 0, 0, 0, 3, 1, 3, 3, 3, 3, 4, 4, 3, 4, 0, 1, 3, 1, 0, 3, 2, 0, 4, 3, 4, 3, 1, 2, 3, 2, 2, 3, 1, 2, 1, 3, 3, 0, 3, 4, 4, 1, 0, 1, 2, 0, 2, 4, 4, 4, 0, 0, 2, 3, 1, 4, 4, 1, 1, 1, 4, 3, 1, 4, 4, 0, 4, 0, 1, 3, 2, 4, 2, 1, 1, 1, 0, 0, 4, 1, 2, 0, 2, 2, 3, 0, 2, 1, 0, 2, 2, 2, 3, 3, 3, 2, 1, 3, 3, 3, 1, 0, 1, 4, 0, 1, 3, 3, 3, 0, 0, 3, 2, 1, 2, 1, 1, 1, 2, 3, 2, 3, 0, 1, 3, 3, 2, 0, 2, 0, 1, 4, 4, 3, 2, 1, 2, 1, 0, 4, 2, 4, 3, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 0, 3, 0, 1, 1, 3, 0, 1, 3, 2, 1, 1, 3, 3, 2, 2, 4, 2, 2, 3, 2, 4, 2, 4, 0, 0, 4, 0, 2, 3, 4, 2, 2, 2, 1, 0, 1, 2, 4, 0, 1, 4, 0, 4, 3, 3, 1, 0, 3, 3, 3, 3, 3, 3, 4, 2, 4, 2, 0, 4, 3, 2, 0, 3, 3, 4, 3, 1, 4, 3, 2, 4, 1, 0, 2, 4, 1, 4, 4, 4, 0, 0, 4, 4, 1, 3, 0, 0, 2, 3, 4, 1, 4, 2, 0, 0, 1, 0, 3, 4, 0, 4, 0, 2, 0, 3, 3, 4, 2, 1, 1, 4, 4, 1, 2, 4, 0, 0, 0, 3, 3, 1, 2, 0, 1, 3, 4, 1, 4, 2, 2, 3, 0, 3, 2, 1, 1, 3, 0, 3, 0, 2, 3, 4, 4, 3, 4, 3, 2, 3, 2, 3, 4, 1, 2, 3, 2, 3, 0] pubkeycol847 = [4, 4, 0, 1, 0, 4, 0, 2, 2, 4, 2, 3, 2, 2, 3, 2, 0, 3, 4, 2, 1, 4, 2, 2, 2, 3, 2, 3, 0, 3, 2, 1, 4, 4, 0, 1, 1, 1, 1, 3, 4, 0, 0, 4, 1, 0, 2, 0, 3, 3, 4, 4, 4, 0, 3, 3, 3, 0, 3, 2, 1, 4, 1, 2, 0, 1, 1, 0, 2, 3, 4, 3, 2, 4, 1, 2, 4, 4, 4, 1, 2, 4, 4, 3, 2, 4, 4, 2, 0, 3, 3, 2, 2, 0, 3, 4, 0, 1, 1, 0, 3, 1, 2, 3, 3, 2, 0, 3, 4, 4, 1, 0, 4, 3, 3, 3, 2, 4, 2, 0, 3, 1, 4, 3, 1, 0, 2, 2, 1, 4, 3, 3, 1, 3, 4, 2, 4, 0, 1, 4, 4, 2, 4, 4, 3, 4, 0, 2, 3, 1, 1, 1, 4, 4, 2, 0, 3, 4, 3, 3, 0, 3, 1, 4, 3, 3, 3, 0, 4, 1, 4, 4, 2, 3, 3, 3, 2, 0, 1, 1, 4, 3, 0, 4, 1, 4, 4, 4, 1, 3, 0, 3, 1, 0, 2, 2, 2, 0, 1, 2, 1, 4, 4, 1, 0, 3, 0, 4, 4, 0, 2, 1, 3, 3, 0, 2, 0, 1, 1, 4, 0, 0, 0, 2, 2, 0, 4, 0, 4, 4, 1, 3, 3, 2, 3, 4, 3, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 3, 2, 1, 0, 4, 1, 2, 3, 4, 3, 0, 0, 4, 3, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 1, 1, 3, 2, 4, 4, 1, 3, 2, 2, 1, 0, 4, 4, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 3, 4, 0, 4, 2, 1, 2, 0, 4, 3, 2, 2, 1, 3, 4, 1, 3, 1, 4, 4, 4, 1, 0, 0, 0, 1, 0, 4, 1, 4, 3, 0, 3, 0, 3, 0, 1, 3, 1, 3, 1, 1, 4, 1, 3, 0, 3, 0, 1, 1, 0, 3, 2, 4, 4, 0, 2, 4, 0, 4, 2, 3, 4, 3, 3, 1, 2, 2, 4, 0, 0, 0, 1, 3, 1, 1, 4, 1, 4, 3, 0, 2, 3, 3, 4, 0, 1, 2, 2, 0, 4, 3, 2, 1, 4, 3, 1, 3, 1, 1, 2, 2, 4, 4, 0, 0, 1, 0, 3, 4, 4, 4, 2, 4, 1, 3, 4, 1, 3, 1, 1, 1, 3, 3, 4, 4, 2, 0, 0, 1, 2, 0, 3, 4, 3, 2, 1, 4, 3, 4, 1, 3, 1, 1, 0, 0, 3, 1, 1, 4, 3, 1, 0, 2, 4, 3, 4, 0, 2, 1, 4, 2, 3, 4, 4, 2, 2, 2, 1, 0, 4, 4, 3, 3, 0, 2, 3, 1, 3, 4, 1, 1] pubkeycol848 = [3, 3, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 0, 4, 0, 4, 4, 3, 2, 2, 4, 4, 3, 4, 4, 4, 3, 4, 1, 2, 4, 2, 2, 3, 0, 2, 0, 4, 4, 4, 4, 4, 3, 1, 1, 3, 0, 2, 2, 2, 2, 0, 2, 1, 0, 4, 2, 4, 3, 1, 3, 1, 2, 3, 2, 1, 4, 3, 2, 0, 3, 4, 2, 1, 3, 3, 3, 0, 4, 2, 2, 2, 4, 4, 2, 2, 2, 0, 0, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 3, 4, 1, 4, 3, 3, 2, 2, 2, 4, 3, 0, 2, 0, 3, 3, 4, 3, 0, 1, 1, 3, 4, 0, 2, 3, 3, 0, 0, 3, 4, 0, 3, 3, 1, 3, 2, 4, 0, 3, 0, 1, 2, 3, 2, 3, 1, 0, 0, 0, 4, 1, 1, 3, 3, 4, 2, 3, 1, 2, 2, 0, 3, 4, 2, 0, 4, 1, 0, 4, 4, 1, 4, 2, 0, 0, 2, 4, 3, 3, 0, 0, 3, 2, 3, 1, 0, 4, 1, 4, 1, 4, 1, 0, 4, 0, 0, 0, 0, 0, 4, 1, 3, 1, 2, 3, 0, 2, 3, 4, 3, 2, 4, 4, 1, 3, 0, 3, 0, 4, 0, 2, 3, 3, 3, 4, 4, 1, 0, 1, 1, 3, 3, 0, 2, 1, 3, 2, 3, 3, 4, 4, 1, 4, 2, 4, 0, 0, 4, 3, 0, 3, 0, 1, 2, 2, 3, 3, 4, 4, 3, 4, 3, 1, 1, 3, 2, 2, 3, 3, 3, 4, 3, 2, 0, 0, 3, 2, 4, 2, 1, 2, 3, 2, 4, 2, 2, 4, 2, 1, 3, 2, 3, 0, 1, 1, 3, 3, 1, 4, 0, 1, 0, 0, 1, 1, 1, 1, 4, 2, 2, 2, 0, 0, 2, 4, 0, 4, 1, 1, 0, 0, 1, 3, 3, 2, 1, 4, 2, 1, 2, 0, 2, 0, 0, 2, 4, 0, 2, 0, 1, 2, 1, 2, 0, 0, 3, 4, 4, 4, 0, 4, 4, 1, 2, 3, 0, 3, 4, 3, 2, 1, 4, 4, 1, 4, 4, 1, 4, 0, 2, 4, 3, 3, 1, 2, 0, 1, 3, 4, 4, 1, 3, 1, 3, 0, 0, 1, 2, 0, 3, 2, 3, 1, 2, 4, 4, 2, 2, 1, 1, 0, 4, 4, 2, 4, 3, 1, 3, 1, 4, 1, 2, 1, 1, 0, 4, 4, 2, 1, 0, 2, 1, 4, 1, 2, 2, 2, 1, 3, 2, 1, 1, 0, 4, 2, 4, 4, 4, 0, 2, 3, 3, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 4, 2, 0, 4, 0, 4, 2, 3, 1, 1, 2, 3, 1, 0, 3, 3, 4, 1, 2, 0, 0, 4, 2, 2] pubkeycol849 = [3, 4, 2, 2, 0, 0, 1, 0, 0, 1, 3, 3, 3, 1, 2, 3, 1, 3, 0, 4, 1, 2, 4, 1, 4, 4, 0, 0, 2, 0, 2, 0, 0, 4, 3, 3, 2, 3, 0, 1, 2, 1, 4, 0, 4, 0, 0, 2, 4, 3, 0, 1, 0, 3, 0, 3, 3, 4, 4, 4, 0, 2, 0, 4, 2, 0, 1, 4, 0, 2, 1, 2, 2, 4, 3, 4, 0, 2, 1, 3, 1, 1, 4, 4, 4, 2, 0, 2, 0, 1, 2, 3, 3, 4, 1, 4, 1, 0, 2, 1, 1, 4, 2, 2, 1, 4, 0, 3, 3, 2, 3, 2, 0, 4, 3, 3, 3, 1, 3, 4, 4, 0, 0, 4, 0, 1, 3, 1, 4, 4, 3, 2, 4, 1, 0, 1, 0, 3, 0, 0, 1, 3, 2, 3, 3, 4, 4, 4, 1, 1, 3, 1, 0, 2, 2, 4, 4, 4, 2, 4, 4, 1, 3, 4, 4, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 4, 1, 3, 2, 0, 1, 3, 0, 3, 1, 1, 2, 1, 4, 1, 3, 1, 2, 0, 1, 3, 4, 4, 0, 4, 1, 4, 1, 1, 3, 0, 0, 0, 0, 4, 0, 2, 4, 1, 0, 0, 1, 0, 0, 0, 3, 4, 1, 0, 2, 1, 4, 4, 3, 2, 2, 2, 3, 0, 0, 2, 1, 4, 3, 2, 0, 1, 0, 2, 3, 2, 3, 3, 4, 1, 1, 4, 3, 2, 0, 0, 3, 4, 2, 1, 3, 2, 3, 4, 3, 4, 0, 2, 4, 1, 0, 3, 3, 2, 1, 1, 3, 2, 0, 1, 1, 1, 4, 0, 1, 4, 4, 3, 2, 0, 4, 1, 4, 4, 0, 4, 2, 1, 4, 0, 2, 2, 2, 4, 3, 3, 2, 0, 2, 0, 3, 1, 3, 4, 3, 1, 3, 4, 2, 1, 3, 4, 2, 4, 1, 2, 1, 3, 1, 1, 1, 4, 0, 4, 1, 2, 3, 4, 1, 3, 1, 2, 2, 1, 1, 1, 4, 4, 1, 0, 4, 3, 1, 4, 2, 0, 3, 0, 0, 0, 1, 2, 0, 4, 0, 1, 3, 0, 3, 3, 3, 1, 0, 4, 4, 3, 2, 0, 1, 0, 4, 3, 3, 1, 2, 4, 0, 4, 2, 1, 2, 2, 0, 3, 4, 2, 1, 0, 1, 4, 2, 4, 3, 3, 1, 4, 3, 4, 4, 4, 3, 0, 3, 4, 3, 2, 2, 2, 0, 2, 2, 1, 3, 3, 3, 2, 4, 3, 4, 1, 2, 1, 1, 2, 4, 2, 2, 3, 4, 1, 2, 4, 2, 3, 3, 2, 1, 3, 2, 1, 2, 0, 4, 1, 2, 0, 1, 1, 0, 3, 2, 0, 4, 0, 4, 2, 4, 3, 4, 3, 3, 1, 0, 4] pubkeycol850 = [4, 2, 3, 4, 3, 0, 2, 4, 2, 4, 3, 4, 0, 3, 2, 1, 3, 2, 2, 3, 3, 1, 1, 0, 0, 3, 2, 3, 0, 3, 2, 3, 0, 2, 3, 3, 1, 4, 2, 0, 3, 3, 1, 1, 0, 0, 0, 3, 3, 4, 1, 3, 0, 0, 4, 2, 3, 2, 0, 4, 1, 0, 1, 0, 0, 3, 2, 4, 3, 2, 1, 1, 1, 4, 0, 4, 4, 1, 1, 3, 3, 3, 1, 2, 3, 1, 2, 0, 3, 2, 2, 4, 1, 0, 4, 1, 4, 4, 3, 4, 1, 4, 2, 0, 4, 1, 2, 3, 1, 3, 0, 1, 3, 4, 1, 4, 4, 3, 2, 0, 0, 2, 4, 2, 3, 1, 1, 1, 4, 1, 2, 2, 4, 1, 0, 2, 3, 0, 4, 1, 1, 0, 1, 1, 2, 3, 1, 2, 4, 4, 3, 3, 3, 1, 4, 3, 2, 0, 3, 4, 2, 1, 4, 1, 3, 3, 0, 0, 4, 4, 2, 1, 0, 3, 4, 2, 4, 2, 1, 2, 2, 3, 3, 4, 1, 0, 1, 4, 2, 2, 4, 4, 2, 3, 0, 2, 4, 4, 4, 3, 3, 0, 4, 2, 3, 1, 0, 4, 3, 1, 4, 1, 3, 4, 4, 3, 0, 4, 2, 4, 0, 0, 0, 2, 1, 4, 1, 1, 3, 1, 2, 0, 2, 0, 4, 1, 0, 3, 3, 4, 1, 0, 2, 0, 0, 2, 2, 3, 1, 0, 4, 4, 1, 2, 3, 1, 2, 1, 0, 0, 1, 4, 2, 3, 0, 4, 1, 0, 0, 3, 4, 2, 4, 4, 0, 3, 1, 2, 1, 0, 3, 0, 0, 0, 3, 0, 4, 4, 3, 1, 4, 3, 0, 1, 4, 4, 3, 4, 3, 2, 4, 0, 0, 1, 4, 3, 1, 1, 4, 1, 1, 3, 2, 1, 1, 0, 2, 0, 4, 3, 4, 3, 3, 3, 0, 1, 0, 1, 2, 3, 3, 2, 2, 1, 4, 1, 1, 4, 4, 0, 4, 4, 4, 0, 3, 3, 1, 4, 3, 2, 1, 1, 2, 0, 1, 1, 3, 3, 2, 1, 3, 4, 0, 2, 4, 3, 1, 1, 4, 0, 3, 3, 1, 4, 3, 0, 4, 1, 0, 4, 0, 0, 0, 2, 4, 2, 3, 4, 0, 0, 2, 4, 3, 0, 0, 3, 3, 1, 0, 3, 2, 1, 1, 1, 4, 0, 3, 0, 4, 0, 4, 2, 4, 0, 2, 2, 1, 4, 1, 4, 2, 2, 1, 4, 4, 3, 0, 1, 4, 2, 0, 0, 3, 2, 2, 1, 2, 0, 2, 4, 1, 0, 2, 2, 0, 1, 0, 3, 1, 2, 3, 4, 1, 2, 0, 2, 3, 0, 4, 0, 3, 4, 2, 1, 4, 4, 2, 0, 1, 0, 3, 4, 3, 1, 0, 1, 3, 0, 0, 0] pubkeycol851 = [3, 2, 2, 0, 3, 4, 0, 3, 2, 2, 4, 1, 0, 2, 1, 3, 4, 1, 1, 4, 3, 2, 1, 3, 2, 2, 1, 0, 4, 3, 0, 3, 4, 3, 3, 0, 0, 1, 3, 2, 4, 2, 0, 3, 4, 2, 4, 1, 3, 1, 1, 2, 2, 0, 3, 1, 3, 4, 4, 4, 4, 4, 3, 3, 4, 2, 1, 3, 1, 4, 3, 3, 0, 3, 4, 3, 4, 0, 4, 0, 2, 0, 4, 0, 4, 1, 4, 2, 3, 4, 1, 2, 4, 3, 1, 4, 0, 3, 4, 4, 4, 4, 4, 1, 3, 4, 3, 4, 1, 4, 0, 4, 1, 4, 2, 4, 0, 3, 4, 1, 4, 4, 3, 1, 2, 2, 4, 4, 1, 1, 2, 4, 2, 1, 1, 0, 3, 4, 2, 4, 3, 0, 1, 1, 4, 1, 4, 4, 1, 1, 1, 3, 2, 4, 3, 1, 4, 2, 1, 3, 1, 4, 0, 0, 4, 4, 2, 3, 3, 3, 2, 3, 0, 1, 3, 0, 1, 4, 0, 2, 2, 0, 1, 1, 0, 2, 4, 2, 4, 2, 2, 2, 0, 2, 1, 4, 3, 1, 1, 2, 3, 3, 3, 4, 1, 4, 2, 0, 2, 1, 1, 1, 2, 3, 4, 0, 4, 0, 4, 1, 4, 2, 0, 3, 0, 1, 4, 3, 3, 2, 0, 4, 0, 4, 4, 3, 0, 2, 2, 0, 2, 1, 0, 4, 2, 0, 2, 0, 0, 1, 2, 2, 3, 4, 4, 2, 0, 2, 4, 0, 2, 3, 3, 1, 0, 3, 1, 0, 2, 3, 0, 3, 2, 1, 2, 0, 0, 4, 2, 1, 1, 0, 1, 4, 3, 0, 1, 3, 3, 2, 3, 0, 1, 3, 0, 3, 0, 0, 4, 0, 2, 1, 3, 3, 2, 0, 0, 1, 2, 2, 0, 2, 1, 3, 2, 2, 0, 1, 1, 2, 2, 4, 0, 4, 4, 3, 4, 0, 3, 1, 1, 0, 1, 2, 0, 3, 3, 3, 3, 4, 3, 0, 0, 4, 4, 3, 3, 0, 2, 2, 1, 1, 2, 3, 1, 2, 4, 3, 1, 2, 1, 0, 0, 1, 0, 3, 0, 0, 0, 0, 1, 4, 3, 4, 2, 1, 3, 1, 4, 4, 2, 4, 2, 3, 1, 0, 0, 3, 3, 1, 1, 2, 3, 0, 1, 1, 4, 3, 0, 4, 2, 4, 4, 4, 0, 2, 0, 3, 1, 0, 4, 0, 0, 4, 4, 3, 0, 1, 1, 2, 3, 0, 2, 4, 3, 2, 4, 3, 0, 4, 1, 4, 3, 3, 3, 0, 3, 2, 2, 1, 4, 1, 4, 2, 2, 2, 2, 1, 2, 4, 4, 0, 3, 2, 1, 0, 2, 1, 4, 4, 3, 3, 3, 1, 1, 4, 1, 1, 0, 4, 4, 2, 1, 1, 2, 2, 1, 3, 1, 0] pubkeycol852 = [0, 3, 0, 2, 3, 4, 1, 4, 3, 1, 3, 1, 4, 2, 2, 0, 0, 0, 1, 1, 2, 0, 3, 4, 4, 1, 0, 4, 1, 0, 3, 2, 2, 4, 2, 1, 4, 4, 4, 2, 1, 3, 2, 1, 2, 3, 3, 3, 1, 3, 0, 1, 0, 1, 1, 2, 0, 4, 1, 1, 2, 1, 2, 3, 0, 2, 4, 3, 4, 2, 4, 4, 4, 3, 3, 3, 3, 2, 0, 3, 4, 3, 3, 4, 2, 4, 0, 2, 1, 3, 1, 3, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 3, 2, 4, 3, 2, 2, 3, 0, 3, 3, 4, 3, 4, 1, 2, 1, 1, 3, 1, 1, 3, 2, 3, 1, 4, 4, 2, 1, 0, 2, 3, 4, 3, 4, 1, 4, 1, 1, 2, 4, 0, 0, 3, 2, 0, 1, 4, 1, 3, 1, 0, 3, 2, 1, 1, 2, 4, 2, 1, 0, 1, 4, 4, 1, 0, 4, 3, 1, 3, 3, 2, 3, 2, 1, 3, 0, 0, 0, 2, 1, 0, 2, 2, 4, 2, 2, 0, 0, 1, 3, 4, 0, 2, 0, 2, 0, 4, 2, 1, 4, 2, 1, 3, 3, 3, 3, 2, 0, 1, 4, 3, 0, 2, 0, 0, 0, 3, 3, 2, 3, 1, 0, 0, 2, 1, 4, 1, 3, 4, 0, 2, 4, 4, 3, 3, 0, 4, 3, 1, 4, 3, 2, 4, 4, 2, 0, 4, 2, 4, 1, 0, 4, 4, 0, 1, 0, 4, 3, 4, 2, 4, 1, 3, 4, 1, 2, 0, 3, 4, 0, 0, 1, 4, 0, 2, 0, 1, 4, 3, 0, 4, 3, 3, 0, 0, 2, 0, 4, 0, 2, 4, 3, 4, 3, 0, 1, 4, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 1, 4, 4, 3, 3, 0, 2, 2, 4, 4, 0, 1, 0, 0, 1, 3, 2, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 4, 3, 3, 2, 2, 2, 3, 1, 3, 1, 0, 3, 3, 4, 2, 0, 3, 0, 4, 2, 3, 4, 3, 1, 0, 3, 0, 3, 4, 3, 1, 4, 4, 1, 1, 1, 1, 1, 4, 2, 4, 1, 2, 3, 0, 4, 1, 2, 1, 0, 1, 3, 3, 2, 2, 0, 4, 2, 2, 3, 3, 2, 3, 3, 4, 2, 2, 2, 2, 3, 2, 2, 3, 3, 0, 2, 3, 3, 2, 0, 4, 0, 3, 2, 3, 3, 0, 2, 1, 4, 2, 1, 2, 4, 0, 2, 0, 1, 2, 4, 3, 1, 2, 1, 1, 4, 0, 2, 3, 2, 0, 0, 0, 2, 1, 1, 2, 0, 3, 2, 3, 4, 3, 3, 0, 1, 0, 3, 4, 2, 3, 2, 4, 1, 4, 1, 0, 2, 3, 0, 1, 2] pubkeycol853 = [1, 3, 1, 2, 2, 1, 4, 0, 4, 1, 0, 1, 4, 4, 1, 4, 1, 0, 0, 0, 0, 1, 3, 3, 1, 1, 2, 0, 3, 3, 2, 2, 3, 4, 3, 1, 4, 1, 2, 0, 0, 1, 3, 4, 1, 4, 1, 0, 2, 1, 2, 4, 2, 0, 4, 2, 0, 2, 3, 0, 1, 1, 3, 2, 4, 4, 3, 3, 4, 3, 0, 4, 3, 1, 1, 1, 4, 1, 2, 0, 2, 1, 4, 4, 1, 0, 2, 3, 4, 4, 4, 0, 1, 0, 4, 0, 2, 3, 1, 1, 4, 3, 0, 2, 0, 1, 1, 3, 4, 4, 1, 1, 4, 1, 3, 0, 4, 4, 2, 4, 0, 2, 3, 0, 2, 1, 3, 1, 1, 3, 0, 4, 2, 3, 3, 4, 2, 4, 3, 1, 1, 3, 0, 2, 0, 0, 2, 0, 3, 2, 2, 1, 2, 3, 4, 4, 2, 1, 2, 3, 2, 3, 0, 0, 0, 2, 4, 4, 3, 2, 4, 3, 0, 1, 3, 0, 2, 3, 1, 0, 4, 3, 3, 4, 1, 3, 1, 2, 2, 0, 2, 0, 1, 4, 3, 1, 1, 2, 3, 2, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 4, 1, 3, 4, 4, 0, 4, 1, 3, 1, 1, 2, 0, 1, 2, 1, 0, 1, 3, 1, 2, 4, 2, 2, 3, 0, 4, 1, 4, 2, 1, 1, 1, 4, 1, 3, 4, 3, 0, 4, 4, 2, 3, 4, 0, 1, 4, 4, 4, 3, 4, 0, 3, 2, 3, 0, 1, 4, 2, 2, 4, 1, 3, 4, 4, 3, 1, 4, 1, 0, 4, 2, 3, 0, 1, 3, 2, 3, 3, 3, 4, 0, 0, 4, 4, 4, 4, 2, 4, 4, 0, 3, 0, 4, 1, 2, 3, 3, 0, 0, 2, 3, 3, 4, 4, 2, 1, 1, 1, 1, 4, 4, 2, 1, 0, 1, 3, 3, 3, 2, 0, 0, 2, 1, 3, 1, 2, 4, 3, 2, 4, 1, 1, 1, 2, 2, 4, 2, 2, 1, 2, 3, 2, 1, 2, 4, 4, 1, 0, 1, 0, 2, 3, 4, 0, 2, 0, 3, 3, 0, 0, 3, 0, 4, 0, 3, 1, 2, 3, 1, 4, 2, 2, 1, 3, 1, 1, 3, 3, 2, 3, 2, 2, 2, 1, 4, 1, 2, 2, 3, 4, 2, 1, 0, 2, 2, 1, 2, 3, 2, 4, 0, 1, 2, 1, 4, 3, 4, 3, 4, 4, 4, 2, 4, 2, 4, 4, 3, 2, 2, 3, 0, 2, 4, 2, 4, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 3, 4, 1, 1, 2, 2, 4, 3, 3, 1, 0, 3, 0, 3, 1, 1, 4, 0, 2, 0, 1, 3, 1, 3, 0, 4, 3, 3, 4, 2, 1, 0, 1, 0] pubkeycol854 = [3, 2, 3, 1, 3, 1, 4, 3, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 4, 2, 3, 4, 0, 1, 1, 3, 2, 3, 3, 1, 0, 0, 4, 1, 0, 3, 1, 3, 4, 3, 4, 4, 2, 3, 1, 2, 2, 1, 2, 0, 2, 4, 4, 0, 1, 3, 1, 4, 4, 4, 0, 4, 3, 3, 4, 2, 1, 3, 2, 4, 1, 1, 0, 1, 0, 0, 0, 2, 4, 3, 2, 3, 0, 2, 0, 0, 3, 0, 3, 4, 2, 0, 1, 0, 3, 2, 3, 0, 0, 0, 1, 3, 4, 2, 0, 3, 0, 4, 0, 2, 3, 2, 2, 3, 4, 1, 1, 1, 0, 4, 2, 2, 2, 4, 3, 0, 0, 2, 1, 2, 2, 4, 0, 2, 0, 1, 1, 4, 4, 2, 2, 3, 0, 4, 2, 1, 1, 0, 1, 2, 0, 4, 4, 4, 0, 3, 3, 3, 0, 1, 1, 2, 3, 2, 0, 4, 3, 2, 1, 1, 2, 2, 4, 3, 0, 0, 0, 2, 0, 0, 0, 4, 1, 0, 1, 4, 0, 0, 2, 2, 4, 2, 4, 0, 2, 2, 3, 2, 2, 4, 2, 3, 4, 0, 1, 3, 0, 4, 1, 4, 1, 4, 4, 2, 0, 1, 0, 1, 0, 1, 0, 1, 3, 1, 3, 4, 2, 0, 1, 1, 3, 0, 4, 2, 3, 1, 4, 3, 2, 0, 0, 0, 1, 1, 2, 1, 3, 1, 3, 4, 2, 2, 2, 1, 1, 4, 0, 2, 2, 3, 4, 2, 0, 1, 1, 4, 1, 1, 3, 4, 0, 3, 4, 1, 1, 2, 4, 4, 2, 4, 3, 3, 0, 1, 0, 4, 2, 4, 0, 0, 2, 2, 4, 0, 3, 3, 0, 4, 3, 1, 0, 2, 0, 3, 1, 3, 0, 4, 2, 2, 0, 4, 1, 4, 3, 2, 2, 2, 4, 0, 4, 0, 2, 4, 3, 2, 4, 2, 0, 3, 2, 3, 1, 0, 2, 2, 1, 3, 3, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 3, 1, 4, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 3, 0, 1, 0, 1, 2, 2, 1, 3, 4, 1, 4, 3, 3, 2, 1, 0, 0, 2, 1, 0, 3, 1, 2, 0, 2, 4, 4, 4, 3, 1, 3, 1, 3, 1, 3, 2, 3, 3, 0, 1, 0, 3, 0, 1, 1, 2, 0, 1, 4, 0, 3, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 3, 4, 4, 0, 0, 3, 4, 0, 4, 1, 4, 4, 3, 0, 0, 1, 3, 4, 2, 2, 2, 4, 2, 4, 1, 4, 4, 3, 1, 4, 3, 3, 4, 0, 3, 0, 4, 3, 2, 4, 0, 2, 3, 4, 3, 0, 2, 3, 1] pubkeycol855 = [3, 4, 3, 3, 4, 4, 1, 2, 3, 1, 1, 3, 3, 3, 2, 3, 4, 0, 2, 3, 1, 3, 0, 3, 0, 2, 3, 4, 0, 1, 4, 4, 4, 1, 4, 4, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 0, 2, 2, 2, 3, 4, 2, 0, 2, 1, 1, 0, 4, 1, 3, 4, 1, 2, 1, 2, 3, 1, 4, 1, 2, 4, 0, 0, 2, 3, 0, 1, 2, 3, 0, 1, 2, 4, 4, 1, 1, 2, 2, 2, 3, 0, 0, 1, 4, 4, 3, 3, 0, 1, 1, 4, 1, 2, 0, 3, 1, 2, 1, 4, 4, 2, 3, 3, 2, 1, 4, 4, 4, 0, 2, 4, 1, 1, 1, 2, 3, 3, 1, 1, 2, 4, 3, 2, 3, 3, 4, 4, 4, 1, 0, 1, 0, 2, 1, 2, 4, 1, 2, 3, 4, 3, 4, 3, 3, 0, 0, 3, 2, 2, 1, 4, 0, 4, 4, 4, 4, 4, 4, 2, 1, 3, 1, 1, 0, 4, 1, 2, 0, 0, 2, 0, 3, 4, 4, 0, 1, 2, 2, 1, 1, 3, 3, 3, 3, 1, 4, 1, 0, 3, 4, 3, 2, 2, 4, 2, 2, 1, 4, 3, 2, 4, 2, 2, 4, 3, 2, 2, 1, 1, 4, 3, 1, 0, 0, 0, 3, 2, 1, 2, 0, 3, 2, 3, 3, 2, 3, 0, 3, 0, 0, 3, 1, 0, 1, 3, 3, 1, 2, 2, 4, 4, 1, 1, 0, 4, 1, 3, 1, 3, 1, 0, 3, 4, 2, 4, 0, 0, 0, 2, 4, 2, 3, 0, 0, 2, 4, 2, 0, 0, 4, 3, 3, 3, 2, 0, 1, 3, 3, 2, 4, 0, 4, 3, 3, 0, 1, 1, 1, 4, 1, 1, 2, 3, 1, 2, 4, 4, 4, 1, 4, 4, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 0, 1, 2, 4, 4, 4, 4, 4, 3, 2, 0, 2, 1, 3, 2, 3, 0, 3, 2, 4, 2, 3, 0, 0, 2, 1, 1, 1, 4, 1, 3, 3, 3, 3, 0, 0, 0, 4, 1, 0, 4, 2, 3, 0, 3, 4, 4, 3, 2, 2, 1, 2, 2, 3, 0, 4, 0, 0, 3, 1, 1, 3, 0, 1, 3, 0, 2, 0, 1, 0, 2, 4, 4, 2, 2, 2, 1, 1, 2, 2, 2, 4, 0, 0, 3, 3, 4, 2, 4, 2, 2, 1, 4, 2, 0, 1, 1, 3, 3, 0, 0, 4, 4, 1, 1, 2, 4, 1, 3, 2, 3, 4, 0, 0, 0, 0, 4, 2, 4, 3, 2, 1, 2, 0, 3, 3, 2, 4, 2, 4, 0, 0, 4, 0, 0, 4, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 3, 2, 1, 1, 1, 0, 3, 4] pubkeycol856 = [1, 1, 4, 2, 2, 4, 1, 4, 2, 2, 2, 4, 3, 0, 1, 4, 3, 1, 1, 4, 1, 3, 2, 0, 3, 4, 3, 2, 0, 2, 3, 4, 3, 4, 3, 4, 0, 2, 2, 2, 2, 1, 4, 3, 0, 0, 3, 2, 2, 2, 0, 2, 0, 2, 4, 0, 1, 4, 4, 2, 2, 4, 3, 2, 0, 3, 3, 1, 3, 1, 2, 3, 4, 4, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 4, 3, 0, 4, 2, 3, 1, 2, 1, 4, 1, 0, 2, 2, 4, 4, 0, 4, 3, 4, 2, 0, 1, 0, 1, 2, 1, 1, 4, 4, 2, 2, 3, 2, 3, 4, 3, 4, 3, 2, 3, 3, 0, 0, 1, 1, 0, 4, 1, 4, 2, 0, 3, 4, 4, 3, 0, 2, 2, 3, 0, 4, 0, 1, 1, 3, 4, 3, 2, 1, 0, 0, 0, 4, 1, 3, 4, 2, 3, 1, 0, 3, 2, 4, 3, 3, 1, 2, 3, 3, 0, 4, 2, 0, 4, 3, 1, 0, 2, 2, 0, 3, 3, 2, 1, 0, 3, 2, 1, 1, 4, 1, 3, 2, 0, 0, 2, 4, 2, 2, 0, 2, 0, 0, 2, 0, 4, 4, 4, 2, 1, 1, 0, 3, 2, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 3, 4, 4, 0, 1, 2, 3, 2, 1, 3, 4, 4, 2, 2, 3, 4, 4, 1, 1, 1, 1, 3, 4, 4, 1, 0, 4, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 4, 2, 1, 0, 2, 3, 4, 1, 1, 4, 4, 0, 4, 2, 4, 2, 2, 0, 4, 0, 3, 2, 1, 0, 0, 2, 2, 1, 2, 3, 3, 2, 4, 3, 3, 1, 0, 4, 1, 0, 4, 0, 0, 4, 1, 2, 1, 2, 3, 1, 0, 2, 4, 2, 3, 2, 2, 2, 4, 0, 3, 1, 4, 2, 0, 3, 3, 4, 2, 4, 4, 0, 0, 2, 2, 0, 1, 4, 3, 3, 4, 3, 2, 3, 0, 1, 3, 1, 2, 3, 4, 4, 1, 0, 2, 2, 2, 4, 2, 2, 4, 4, 2, 4, 4, 2, 2, 1, 0, 4, 1, 0, 4, 4, 1, 1, 3, 3, 1, 2, 3, 3, 2, 2, 3, 3, 3, 4, 2, 0, 3, 3, 0, 0, 0, 4, 0, 3, 0, 0, 1, 1, 3, 1, 2, 1, 1, 4, 1, 4, 4, 1, 1, 3, 3, 0, 0, 2, 1, 2, 3, 1, 1, 0, 4, 1, 4, 2, 3, 4, 1, 3, 1, 1, 1, 0, 4, 4, 2, 4, 0, 2, 2, 0, 2, 3, 0, 4, 3, 4, 0, 0, 4, 3, 1, 4, 1, 4, 3, 4, 2, 4, 3, 4, 2, 2, 3, 1, 0, 4, 1, 4, 4, 1] pubkeycol857 = [0, 2, 0, 4, 3, 4, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 4, 2, 2, 0, 0, 0, 3, 4, 3, 4, 2, 1, 4, 0, 3, 2, 1, 3, 3, 3, 4, 0, 3, 0, 3, 4, 0, 4, 3, 3, 1, 0, 0, 1, 3, 3, 2, 1, 0, 2, 0, 2, 2, 3, 2, 3, 0, 4, 0, 0, 3, 4, 0, 1, 1, 2, 2, 4, 0, 0, 1, 3, 0, 4, 0, 0, 3, 0, 2, 0, 2, 1, 0, 4, 1, 3, 1, 0, 0, 1, 2, 3, 0, 0, 2, 2, 0, 4, 4, 1, 2, 3, 0, 2, 2, 2, 2, 4, 2, 2, 4, 2, 2, 3, 1, 3, 0, 1, 4, 3, 3, 2, 3, 1, 4, 0, 4, 2, 0, 4, 3, 4, 3, 4, 1, 4, 1, 2, 0, 3, 4, 0, 0, 3, 0, 0, 0, 3, 1, 2, 1, 0, 3, 0, 2, 4, 3, 3, 4, 2, 3, 3, 2, 0, 2, 2, 4, 1, 1, 0, 1, 3, 2, 3, 2, 4, 2, 0, 0, 4, 1, 4, 2, 4, 3, 3, 2, 2, 3, 1, 4, 2, 4, 0, 0, 3, 3, 1, 3, 4, 2, 4, 1, 1, 2, 0, 1, 3, 0, 0, 3, 0, 1, 4, 4, 1, 3, 4, 1, 3, 2, 0, 3, 1, 3, 4, 2, 4, 2, 2, 3, 3, 0, 4, 0, 0, 3, 0, 3, 4, 0, 4, 2, 0, 4, 4, 3, 0, 4, 3, 1, 2, 2, 3, 4, 2, 2, 2, 3, 2, 0, 0, 3, 1, 4, 1, 1, 4, 0, 4, 3, 3, 3, 4, 3, 1, 4, 4, 1, 1, 3, 0, 3, 1, 2, 4, 0, 2, 4, 1, 2, 0, 1, 1, 0, 1, 2, 0, 4, 1, 1, 1, 3, 2, 4, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 3, 4, 1, 4, 1, 0, 4, 4, 4, 4, 1, 4, 3, 3, 2, 1, 0, 2, 0, 3, 1, 4, 0, 3, 1, 1, 2, 4, 1, 1, 0, 1, 4, 4, 2, 1, 3, 3, 1, 1, 3, 4, 3, 3, 0, 1, 4, 0, 3, 0, 0, 1, 1, 3, 4, 4, 4, 0, 3, 2, 3, 4, 4, 1, 3, 3, 0, 0, 0, 4, 3, 2, 1, 3, 2, 3, 0, 2, 2, 4, 4, 4, 3, 4, 0, 2, 0, 2, 4, 3, 0, 0, 4, 0, 4, 3, 3, 0, 2, 1, 3, 1, 3, 0, 2, 0, 1, 2, 4, 1, 1, 3, 4, 1, 2, 1, 3, 0, 0, 2, 0, 0, 1, 4, 0, 0, 3, 3, 3, 1, 3, 4, 1, 0, 2, 2, 1, 3, 2, 2, 4, 1, 3, 1, 2, 4, 3, 4, 3, 3] pubkeycol858 = [2, 4, 1, 0, 4, 1, 4, 0, 4, 0, 1, 4, 2, 2, 0, 4, 2, 3, 2, 2, 0, 3, 1, 4, 1, 0, 4, 3, 1, 3, 4, 3, 0, 2, 1, 3, 1, 2, 1, 1, 3, 2, 2, 2, 4, 3, 1, 1, 2, 3, 3, 2, 2, 1, 3, 0, 1, 0, 1, 4, 0, 3, 1, 0, 3, 2, 4, 0, 3, 2, 2, 0, 4, 1, 4, 3, 2, 0, 3, 2, 0, 2, 4, 1, 1, 1, 2, 2, 0, 1, 4, 2, 3, 3, 2, 0, 1, 2, 2, 4, 0, 4, 4, 3, 1, 0, 1, 3, 0, 0, 3, 2, 4, 0, 0, 2, 2, 4, 2, 1, 3, 3, 1, 2, 4, 2, 3, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 3, 2, 2, 2, 1, 0, 1, 4, 3, 3, 1, 3, 2, 1, 3, 0, 2, 4, 2, 4, 2, 0, 0, 1, 0, 3, 0, 0, 3, 4, 4, 3, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 4, 2, 1, 1, 0, 0, 0, 2, 3, 4, 0, 2, 4, 3, 4, 2, 3, 3, 2, 3, 1, 1, 1, 2, 1, 4, 3, 3, 1, 4, 0, 3, 1, 3, 1, 4, 0, 0, 4, 2, 2, 4, 1, 2, 0, 0, 0, 1, 1, 1, 3, 4, 4, 4, 0, 2, 4, 4, 1, 2, 0, 1, 4, 0, 2, 1, 0, 1, 4, 2, 4, 1, 4, 1, 2, 4, 2, 2, 4, 1, 4, 1, 2, 0, 2, 1, 1, 4, 0, 1, 0, 0, 4, 4, 2, 0, 4, 0, 0, 3, 4, 3, 2, 2, 4, 3, 0, 0, 0, 4, 1, 4, 4, 3, 1, 1, 1, 3, 2, 3, 3, 4, 0, 4, 2, 3, 1, 4, 3, 0, 1, 4, 1, 1, 4, 1, 1, 0, 2, 3, 1, 0, 2, 0, 4, 0, 3, 2, 3, 2, 0, 0, 1, 4, 0, 2, 1, 3, 2, 2, 4, 3, 4, 3, 3, 1, 0, 3, 1, 2, 1, 1, 1, 2, 2, 1, 0, 3, 3, 4, 1, 3, 0, 3, 1, 2, 2, 1, 3, 4, 2, 2, 3, 3, 0, 2, 3, 4, 3, 1, 4, 1, 2, 0, 4, 2, 4, 4, 3, 2, 2, 0, 4, 1, 4, 3, 4, 0, 3, 0, 4, 2, 3, 1, 4, 4, 0, 0, 1, 2, 2, 0, 1, 4, 1, 2, 0, 1, 3, 4, 0, 4, 0, 4, 2, 0, 1, 2, 3, 2, 2, 4, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 4, 4, 2, 4, 4, 4, 2, 4, 0, 2, 0, 0, 3, 0, 3, 0, 4, 4, 0, 2, 2, 2, 0, 3, 1, 0, 0, 0, 2, 1, 2, 0, 2, 4, 1, 4, 0, 0] pubkeycol859 = [3, 0, 0, 4, 1, 3, 2, 0, 0, 4, 3, 3, 3, 3, 3, 0, 2, 4, 2, 3, 0, 4, 1, 3, 1, 0, 4, 2, 4, 0, 2, 1, 2, 4, 2, 3, 2, 2, 2, 2, 1, 3, 4, 4, 4, 4, 3, 4, 4, 1, 2, 4, 3, 4, 1, 3, 4, 1, 3, 1, 2, 2, 3, 3, 3, 2, 2, 3, 1, 4, 0, 1, 4, 2, 1, 3, 3, 4, 1, 1, 2, 1, 4, 3, 1, 3, 1, 1, 2, 4, 0, 4, 2, 0, 2, 3, 0, 0, 0, 2, 4, 2, 3, 0, 3, 3, 2, 2, 4, 3, 0, 1, 2, 2, 0, 4, 2, 2, 0, 3, 1, 4, 2, 2, 3, 3, 2, 1, 0, 2, 3, 3, 4, 4, 3, 0, 1, 2, 4, 2, 4, 4, 3, 1, 2, 2, 3, 0, 0, 0, 2, 1, 1, 3, 1, 1, 1, 0, 2, 0, 2, 4, 4, 3, 0, 3, 1, 4, 1, 2, 0, 4, 3, 3, 3, 1, 4, 3, 3, 0, 4, 1, 1, 3, 0, 1, 1, 4, 3, 2, 3, 3, 1, 2, 4, 2, 4, 0, 3, 3, 2, 4, 0, 2, 0, 2, 4, 0, 0, 3, 4, 1, 0, 0, 0, 1, 3, 2, 2, 4, 4, 3, 3, 4, 2, 2, 1, 3, 4, 1, 0, 1, 2, 4, 3, 3, 2, 4, 2, 3, 3, 2, 1, 4, 0, 0, 2, 3, 2, 2, 4, 1, 4, 4, 3, 2, 4, 2, 1, 3, 0, 4, 0, 2, 3, 0, 1, 4, 4, 3, 2, 4, 0, 2, 1, 4, 1, 2, 3, 4, 4, 0, 3, 4, 4, 2, 1, 2, 1, 0, 2, 2, 1, 4, 3, 4, 2, 0, 2, 0, 4, 1, 1, 3, 1, 2, 3, 1, 2, 2, 2, 1, 3, 3, 4, 4, 3, 1, 1, 3, 3, 2, 4, 2, 1, 3, 0, 0, 4, 1, 2, 1, 3, 0, 4, 2, 4, 0, 0, 2, 1, 0, 0, 4, 4, 0, 0, 1, 2, 2, 0, 1, 1, 3, 3, 3, 2, 2, 0, 4, 0, 0, 2, 4, 1, 3, 3, 0, 1, 1, 1, 2, 0, 1, 4, 3, 0, 3, 0, 2, 1, 0, 4, 0, 3, 1, 1, 2, 0, 4, 2, 3, 4, 1, 0, 2, 1, 2, 1, 4, 2, 3, 2, 3, 1, 2, 4, 2, 2, 0, 0, 1, 3, 4, 4, 2, 0, 0, 2, 2, 3, 2, 1, 4, 0, 3, 2, 0, 4, 1, 2, 0, 4, 4, 2, 4, 0, 4, 4, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 3, 3, 2, 1, 3, 1, 0, 0, 1, 0, 1, 2, 2, 1, 3, 0, 1, 4, 2, 0, 0, 2, 1, 4, 4, 4, 1] pubkeycol860 = [2, 1, 4, 4, 0, 0, 4, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 3, 2, 4, 0, 2, 0, 2, 0, 2, 4, 3, 4, 4, 1, 3, 0, 0, 2, 0, 2, 4, 2, 3, 4, 2, 2, 0, 4, 4, 1, 1, 0, 3, 4, 2, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 2, 0, 3, 3, 3, 2, 0, 4, 2, 0, 3, 4, 3, 2, 4, 2, 1, 3, 0, 4, 4, 3, 1, 2, 0, 1, 1, 0, 3, 3, 0, 0, 0, 0, 1, 4, 3, 4, 3, 1, 1, 4, 2, 1, 4, 2, 4, 3, 1, 0, 0, 1, 0, 1, 4, 3, 2, 1, 2, 1, 4, 0, 4, 0, 4, 0, 1, 4, 0, 4, 4, 4, 2, 4, 0, 2, 0, 1, 2, 4, 4, 0, 0, 4, 1, 4, 1, 4, 3, 0, 2, 3, 1, 3, 1, 1, 3, 0, 1, 1, 1, 3, 4, 4, 1, 3, 3, 4, 0, 4, 4, 3, 1, 3, 3, 3, 1, 1, 1, 2, 3, 4, 1, 1, 3, 4, 2, 3, 0, 2, 3, 0, 1, 1, 4, 2, 1, 4, 3, 3, 2, 1, 3, 0, 4, 1, 1, 1, 3, 0, 3, 4, 1, 1, 3, 0, 3, 1, 1, 0, 1, 3, 3, 3, 1, 3, 1, 4, 1, 4, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 3, 2, 0, 2, 4, 0, 1, 1, 3, 2, 1, 2, 4, 1, 4, 1, 3, 4, 4, 3, 4, 0, 0, 2, 0, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 3, 3, 1, 1, 1, 1, 0, 0, 4, 0, 0, 2, 1, 0, 2, 0, 3, 3, 4, 2, 2, 3, 2, 1, 0, 1, 3, 3, 4, 4, 1, 0, 1, 2, 0, 0, 2, 3, 4, 3, 0, 4, 0, 0, 3, 3, 0, 2, 3, 2, 1, 3, 4, 0, 3, 3, 0, 2, 2, 3, 2, 1, 3, 1, 4, 1, 1, 4, 0, 1, 1, 1, 3, 3, 4, 4, 3, 1, 2, 0, 1, 2, 3, 4, 4, 0, 0, 2, 3, 4, 2, 1, 3, 1, 3, 1, 2, 4, 4, 4, 4, 0, 2, 3, 1, 3, 0, 1, 0, 2, 1, 3, 0, 1, 2, 3, 4, 1, 0, 2, 0, 0, 4, 0, 1, 0, 1, 0, 2, 1, 4, 3, 1, 0, 3, 4, 1, 0, 0, 1, 0, 4, 0, 1, 3, 0, 4, 4, 1, 1, 2, 3, 0, 0, 1, 4, 0, 2, 0, 3, 0, 0, 0, 1, 1, 3, 2, 4, 2, 3, 1, 2, 4, 2, 0, 3, 2, 4, 1, 4, 3, 1, 2, 1, 4, 3, 3, 1, 0, 0, 3, 1, 0, 0, 3, 0, 0, 1, 3, 0, 1, 4, 1] pubkeycol861 = [3, 3, 4, 0, 4, 1, 0, 1, 2, 1, 3, 1, 1, 2, 0, 2, 0, 1, 0, 4, 0, 1, 0, 0, 3, 1, 2, 4, 4, 0, 3, 3, 3, 3, 1, 2, 3, 2, 1, 4, 1, 1, 3, 1, 3, 4, 3, 0, 3, 3, 3, 2, 0, 1, 0, 2, 4, 1, 0, 4, 0, 1, 1, 1, 0, 2, 4, 1, 0, 1, 1, 2, 1, 4, 4, 2, 0, 2, 4, 0, 0, 0, 4, 2, 0, 1, 4, 3, 2, 4, 1, 0, 3, 2, 0, 4, 0, 3, 2, 3, 2, 2, 0, 4, 1, 4, 1, 2, 3, 1, 0, 1, 2, 3, 4, 2, 2, 0, 3, 0, 2, 0, 4, 1, 1, 2, 2, 2, 2, 1, 3, 2, 3, 3, 1, 1, 4, 3, 1, 4, 4, 4, 2, 0, 1, 2, 4, 2, 1, 1, 4, 0, 4, 3, 4, 0, 4, 1, 2, 4, 0, 4, 2, 1, 4, 3, 1, 3, 0, 1, 4, 1, 4, 2, 0, 3, 4, 1, 4, 2, 4, 3, 3, 4, 3, 1, 2, 0, 2, 2, 1, 2, 2, 3, 2, 3, 3, 1, 3, 1, 1, 1, 4, 1, 2, 3, 2, 2, 1, 0, 1, 0, 3, 0, 2, 0, 0, 2, 0, 0, 2, 1, 3, 0, 2, 4, 1, 3, 4, 1, 1, 3, 2, 2, 3, 2, 0, 1, 4, 1, 1, 4, 0, 0, 1, 0, 3, 3, 3, 1, 2, 4, 0, 2, 2, 1, 0, 3, 3, 2, 0, 1, 3, 0, 0, 1, 0, 1, 3, 3, 4, 0, 0, 2, 3, 1, 4, 3, 3, 4, 1, 3, 3, 1, 3, 1, 4, 0, 2, 3, 3, 3, 1, 3, 3, 1, 1, 4, 3, 2, 0, 4, 4, 2, 1, 0, 4, 2, 3, 4, 4, 3, 2, 2, 3, 1, 4, 3, 2, 0, 1, 1, 1, 3, 4, 3, 2, 0, 3, 0, 4, 4, 3, 2, 4, 3, 3, 3, 2, 1, 3, 3, 2, 3, 2, 1, 4, 1, 1, 2, 1, 3, 0, 2, 0, 2, 1, 4, 3, 1, 2, 4, 4, 0, 4, 2, 1, 2, 4, 0, 3, 4, 3, 4, 2, 2, 0, 4, 0, 2, 1, 2, 2, 1, 3, 2, 2, 3, 0, 2, 4, 1, 4, 2, 3, 3, 1, 3, 3, 3, 4, 1, 2, 2, 0, 1, 2, 4, 0, 1, 4, 1, 1, 3, 1, 3, 3, 1, 0, 1, 4, 4, 0, 0, 2, 1, 3, 4, 0, 3, 0, 0, 2, 4, 1, 1, 1, 2, 2, 1, 1, 0, 2, 3, 0, 2, 0, 4, 4, 2, 2, 2, 0, 1, 3, 4, 0, 1, 2, 1, 1, 0, 0, 4, 4, 1, 0, 1, 0, 4, 0, 0, 0, 2, 1, 0, 2, 0, 2, 4] pubkeycol862 = [0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 4, 1, 4, 3, 1, 1, 3, 0, 3, 1, 0, 2, 2, 4, 2, 2, 3, 1, 3, 4, 2, 4, 1, 2, 1, 1, 4, 1, 3, 3, 4, 2, 2, 0, 0, 1, 0, 2, 4, 1, 3, 1, 0, 4, 4, 2, 3, 1, 0, 2, 3, 4, 2, 1, 0, 1, 0, 3, 4, 4, 1, 4, 2, 3, 2, 2, 1, 3, 0, 4, 3, 3, 1, 4, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 4, 1, 0, 0, 3, 2, 4, 1, 3, 2, 4, 4, 3, 1, 2, 4, 2, 3, 3, 4, 2, 4, 2, 4, 0, 4, 0, 0, 4, 2, 0, 3, 2, 3, 3, 4, 1, 3, 3, 1, 1, 3, 3, 4, 0, 4, 2, 1, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 3, 0, 0, 1, 3, 2, 3, 4, 1, 1, 4, 1, 3, 0, 2, 3, 2, 3, 0, 3, 0, 2, 4, 1, 3, 0, 0, 2, 2, 1, 4, 1, 4, 1, 4, 4, 1, 2, 3, 3, 0, 1, 3, 1, 1, 4, 3, 3, 0, 3, 2, 4, 1, 2, 4, 0, 4, 0, 1, 2, 4, 2, 2, 3, 0, 0, 4, 1, 1, 1, 4, 2, 2, 1, 0, 2, 3, 4, 3, 3, 3, 0, 1, 2, 4, 0, 0, 0, 4, 4, 0, 1, 4, 3, 2, 3, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 4, 3, 3, 0, 3, 0, 3, 3, 0, 1, 2, 1, 1, 0, 3, 0, 4, 3, 3, 0, 4, 2, 0, 2, 3, 2, 4, 4, 0, 3, 4, 3, 1, 3, 1, 2, 1, 2, 4, 4, 4, 1, 2, 4, 2, 1, 0, 2, 3, 4, 3, 0, 4, 4, 4, 3, 1, 4, 0, 3, 0, 2, 2, 4, 2, 3, 0, 3, 1, 2, 3, 3, 0, 3, 1, 4, 0, 2, 1, 0, 3, 1, 2, 2, 4, 1, 1, 3, 1, 3, 4, 0, 2, 2, 3, 2, 2, 0, 1, 1, 3, 1, 4, 0, 3, 2, 4, 1, 4, 3, 3, 4, 0, 3, 0, 4, 4, 2, 1, 2, 2, 0, 2, 4, 4, 0, 0, 4, 2, 3, 0, 4, 2, 3, 0, 1, 3, 1, 1, 4, 4, 4, 3, 3, 3, 2, 4, 3, 1, 0, 1, 1, 1, 3, 3, 2, 1, 2, 0, 3, 1, 0, 2, 3, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 4, 2, 4, 1, 0, 1, 3, 0, 3, 1, 3, 1, 3, 1, 1, 1, 4, 4, 2, 2, 0, 3, 4, 1, 0, 3, 1, 3, 4, 3, 3, 1, 4, 2, 1, 0, 1, 0, 2, 1, 4, 4, 3, 0] pubkeycol863 = [1, 3, 4, 2, 3, 1, 1, 1, 4, 0, 2, 2, 1, 1, 3, 2, 4, 2, 3, 0, 4, 1, 3, 4, 1, 4, 0, 4, 2, 2, 2, 1, 0, 2, 1, 0, 3, 1, 1, 0, 4, 0, 4, 2, 3, 4, 4, 3, 2, 1, 4, 1, 0, 0, 3, 3, 2, 0, 1, 0, 2, 2, 0, 4, 2, 2, 0, 0, 1, 2, 4, 4, 4, 4, 3, 2, 1, 2, 3, 3, 3, 0, 2, 1, 3, 2, 1, 1, 4, 4, 0, 0, 3, 2, 0, 3, 4, 3, 3, 3, 0, 3, 1, 4, 2, 4, 4, 4, 0, 4, 3, 3, 4, 2, 0, 0, 0, 3, 1, 1, 4, 3, 1, 2, 2, 4, 4, 2, 4, 1, 0, 3, 0, 2, 0, 0, 2, 4, 3, 0, 4, 3, 0, 1, 3, 3, 3, 4, 0, 0, 1, 1, 1, 4, 3, 2, 4, 3, 3, 1, 4, 0, 1, 1, 0, 4, 0, 4, 0, 1, 3, 2, 3, 3, 3, 0, 1, 2, 3, 4, 4, 0, 0, 0, 3, 3, 1, 3, 4, 3, 4, 2, 4, 4, 2, 3, 4, 2, 1, 2, 3, 0, 1, 0, 4, 0, 2, 2, 1, 1, 0, 3, 1, 2, 4, 4, 3, 4, 2, 1, 4, 0, 0, 4, 0, 2, 3, 0, 2, 2, 4, 0, 0, 2, 2, 1, 3, 2, 0, 2, 3, 1, 3, 2, 3, 4, 2, 4, 2, 0, 3, 3, 1, 0, 0, 3, 4, 1, 1, 1, 3, 0, 4, 3, 2, 2, 2, 4, 3, 0, 1, 4, 2, 4, 2, 3, 0, 1, 1, 1, 3, 2, 4, 1, 0, 3, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 3, 4, 1, 4, 3, 0, 2, 2, 3, 4, 4, 1, 2, 0, 0, 0, 4, 1, 2, 0, 1, 3, 4, 3, 0, 0, 4, 2, 3, 2, 3, 0, 0, 1, 3, 1, 0, 0, 2, 3, 3, 2, 1, 3, 4, 2, 4, 4, 3, 0, 4, 3, 3, 0, 0, 2, 0, 3, 0, 3, 0, 3, 0, 4, 1, 0, 3, 2, 0, 3, 1, 3, 0, 3, 1, 3, 0, 1, 1, 1, 2, 3, 4, 2, 3, 1, 0, 0, 1, 3, 1, 3, 0, 3, 4, 3, 3, 4, 3, 1, 2, 0, 4, 3, 4, 2, 0, 2, 3, 4, 0, 1, 0, 0, 2, 4, 0, 4, 1, 0, 0, 4, 4, 1, 3, 0, 2, 3, 2, 3, 2, 4, 1, 3, 4, 0, 3, 4, 2, 1, 2, 0, 3, 2, 0, 4, 2, 4, 2, 4, 3, 4, 0, 3, 4, 1, 3, 1, 4, 0, 1, 1, 3, 0, 0, 2, 4, 1, 4, 2, 0, 0, 0, 0, 1, 2, 0, 4, 2, 0, 1, 3] pubkeycol864 = [2, 1, 1, 4, 4, 1, 3, 3, 2, 1, 2, 3, 0, 4, 1, 4, 1, 2, 4, 2, 2, 4, 0, 2, 0, 0, 2, 4, 0, 0, 3, 0, 1, 3, 3, 2, 1, 2, 1, 1, 3, 0, 3, 2, 1, 0, 4, 1, 2, 2, 1, 3, 2, 0, 2, 2, 2, 0, 3, 0, 3, 0, 1, 3, 4, 0, 1, 1, 4, 2, 3, 3, 3, 0, 1, 0, 2, 0, 4, 2, 4, 3, 0, 1, 1, 2, 4, 1, 4, 4, 3, 3, 1, 1, 0, 4, 3, 0, 3, 3, 3, 3, 0, 4, 1, 4, 0, 4, 3, 0, 1, 0, 3, 0, 0, 0, 2, 4, 3, 3, 3, 4, 1, 1, 1, 4, 0, 0, 3, 3, 2, 4, 4, 0, 0, 4, 3, 0, 2, 1, 4, 4, 2, 4, 4, 4, 3, 3, 0, 0, 4, 1, 3, 3, 1, 1, 2, 4, 0, 4, 4, 2, 3, 4, 4, 3, 1, 4, 4, 3, 2, 4, 3, 2, 0, 0, 1, 0, 1, 3, 2, 1, 4, 0, 2, 2, 2, 0, 0, 1, 3, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 4, 1, 1, 4, 3, 1, 2, 3, 3, 0, 4, 4, 1, 4, 2, 3, 1, 3, 2, 4, 1, 3, 4, 2, 0, 3, 0, 3, 3, 0, 2, 0, 1, 3, 4, 1, 2, 3, 1, 2, 1, 1, 0, 4, 1, 0, 2, 4, 4, 1, 4, 1, 2, 3, 3, 2, 2, 3, 4, 3, 4, 0, 3, 0, 2, 1, 1, 3, 2, 3, 1, 2, 3, 1, 0, 2, 0, 0, 2, 2, 3, 3, 1, 4, 2, 2, 1, 2, 1, 0, 4, 0, 3, 2, 3, 0, 4, 2, 1, 2, 0, 1, 0, 4, 3, 1, 3, 1, 4, 1, 4, 0, 3, 0, 3, 0, 2, 3, 1, 0, 3, 0, 3, 4, 4, 1, 2, 2, 3, 0, 4, 3, 1, 4, 0, 3, 3, 3, 0, 2, 0, 2, 0, 0, 0, 4, 2, 2, 3, 4, 2, 1, 2, 0, 0, 0, 0, 1, 1, 4, 3, 1, 2, 3, 4, 4, 4, 2, 1, 2, 4, 3, 2, 4, 3, 1, 2, 4, 2, 4, 1, 0, 3, 1, 4, 1, 1, 4, 1, 3, 2, 1, 4, 3, 1, 0, 2, 0, 0, 2, 2, 2, 3, 2, 1, 4, 0, 1, 0, 0, 4, 2, 2, 4, 4, 0, 4, 4, 4, 3, 3, 4, 4, 3, 2, 0, 0, 0, 2, 0, 2, 0, 3, 2, 4, 1, 3, 2, 2, 0, 0, 4, 1, 2, 4, 0, 4, 1, 3, 0, 3, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 1, 0, 0, 4, 0, 2, 2, 4, 2, 3, 3, 0, 3, 4, 1, 3, 2] pubkeycol865 = [4, 3, 2, 1, 0, 1, 4, 1, 4, 0, 4, 1, 2, 4, 0, 4, 1, 1, 0, 4, 2, 3, 0, 2, 0, 3, 3, 4, 2, 2, 1, 4, 4, 4, 3, 1, 2, 4, 2, 4, 4, 3, 4, 1, 1, 3, 2, 1, 3, 2, 2, 2, 4, 0, 1, 4, 2, 4, 4, 4, 4, 1, 0, 1, 3, 3, 4, 2, 1, 3, 1, 3, 1, 4, 1, 3, 3, 4, 3, 2, 3, 2, 4, 1, 0, 1, 2, 4, 1, 3, 3, 0, 3, 2, 2, 4, 1, 1, 2, 2, 4, 2, 1, 3, 4, 1, 0, 0, 4, 2, 2, 1, 2, 2, 0, 3, 3, 1, 4, 2, 4, 2, 1, 1, 3, 4, 2, 1, 2, 3, 0, 3, 1, 2, 3, 0, 0, 1, 0, 0, 4, 1, 3, 1, 2, 4, 0, 3, 4, 1, 3, 0, 3, 0, 2, 3, 1, 2, 1, 4, 1, 0, 4, 3, 4, 0, 3, 2, 0, 4, 2, 0, 4, 3, 4, 2, 4, 3, 4, 3, 3, 0, 3, 3, 0, 2, 2, 4, 4, 0, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 0, 2, 4, 2, 1, 1, 3, 3, 3, 1, 0, 2, 2, 0, 4, 3, 4, 0, 3, 3, 0, 1, 0, 0, 3, 4, 2, 1, 4, 2, 4, 1, 3, 1, 4, 3, 3, 2, 2, 4, 4, 4, 2, 0, 2, 4, 2, 1, 2, 1, 2, 3, 2, 3, 0, 4, 0, 2, 2, 0, 2, 4, 4, 4, 3, 1, 3, 0, 1, 1, 1, 3, 4, 0, 4, 0, 0, 1, 4, 1, 0, 0, 3, 3, 4, 3, 4, 0, 0, 0, 3, 2, 3, 2, 2, 1, 0, 0, 2, 3, 3, 0, 0, 4, 0, 0, 0, 3, 4, 4, 4, 2, 1, 3, 3, 0, 4, 1, 3, 3, 2, 4, 1, 1, 0, 0, 3, 4, 4, 4, 4, 3, 2, 1, 4, 1, 4, 0, 4, 4, 3, 2, 0, 2, 1, 0, 1, 4, 0, 3, 3, 2, 0, 1, 2, 1, 0, 4, 1, 3, 3, 4, 3, 4, 1, 4, 0, 1, 4, 1, 0, 1, 4, 1, 1, 3, 3, 0, 3, 0, 2, 2, 0, 4, 0, 1, 2, 3, 0, 3, 0, 2, 4, 1, 1, 3, 0, 4, 1, 1, 4, 0, 0, 4, 3, 3, 3, 2, 4, 2, 0, 0, 1, 4, 0, 2, 4, 1, 3, 1, 4, 0, 3, 3, 1, 4, 2, 2, 0, 0, 2, 2, 2, 1, 3, 2, 2, 3, 1, 0, 2, 3, 3, 4, 2, 1, 3, 1, 3, 1, 1, 3, 4, 1, 2, 1, 3, 4, 4, 0, 1, 1, 2, 0, 1, 3, 3, 2, 1, 4, 2, 3, 1, 0, 4, 4, 1, 4, 4, 2] pubkeycol866 = [4, 3, 1, 3, 0, 4, 1, 4, 2, 1, 4, 1, 2, 3, 0, 1, 4, 0, 2, 4, 3, 2, 4, 3, 3, 4, 1, 4, 2, 2, 1, 3, 4, 3, 4, 4, 4, 2, 0, 4, 3, 0, 0, 2, 1, 1, 1, 2, 4, 3, 4, 2, 2, 2, 4, 0, 4, 4, 1, 4, 2, 1, 3, 4, 2, 4, 0, 3, 4, 4, 0, 3, 3, 1, 2, 4, 1, 1, 3, 2, 0, 1, 3, 2, 2, 0, 4, 2, 3, 2, 2, 1, 0, 2, 3, 4, 2, 4, 3, 4, 3, 4, 0, 1, 0, 4, 1, 3, 4, 3, 3, 1, 1, 2, 0, 3, 3, 0, 0, 2, 2, 0, 4, 1, 1, 0, 0, 1, 3, 0, 4, 2, 4, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 1, 1, 1, 3, 0, 3, 4, 0, 3, 4, 0, 4, 1, 3, 2, 3, 0, 1, 1, 2, 2, 2, 4, 4, 1, 1, 4, 4, 2, 4, 2, 3, 3, 1, 4, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 4, 2, 0, 4, 0, 0, 2, 0, 1, 2, 0, 2, 0, 4, 4, 4, 0, 2, 1, 0, 2, 1, 4, 1, 3, 1, 4, 0, 0, 1, 2, 3, 4, 2, 4, 4, 2, 4, 4, 4, 4, 0, 2, 1, 2, 0, 4, 1, 3, 0, 0, 2, 0, 4, 3, 1, 1, 0, 0, 2, 1, 4, 3, 1, 4, 0, 2, 4, 3, 3, 3, 1, 2, 0, 1, 3, 1, 0, 4, 4, 4, 2, 3, 0, 4, 4, 0, 4, 3, 4, 0, 1, 0, 3, 4, 3, 4, 0, 0, 0, 1, 2, 1, 4, 3, 3, 4, 2, 3, 0, 0, 2, 0, 2, 3, 2, 0, 4, 0, 2, 4, 2, 0, 3, 3, 0, 1, 4, 2, 4, 4, 3, 4, 2, 1, 3, 3, 1, 0, 4, 4, 2, 2, 4, 2, 2, 1, 2, 0, 2, 3, 2, 0, 3, 4, 0, 0, 0, 2, 4, 3, 0, 4, 2, 0, 0, 1, 3, 3, 4, 4, 3, 2, 0, 0, 0, 1, 4, 2, 0, 4, 1, 4, 2, 4, 0, 2, 3, 4, 4, 2, 3, 1, 3, 3, 0, 3, 3, 4, 1, 0, 4, 2, 3, 3, 3, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 3, 3, 0, 1, 2, 0, 2, 4, 2, 0, 0, 4, 2, 1, 1, 1, 4, 0, 4, 4, 0, 4, 0, 0, 1, 3, 2, 4, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 4, 1, 4, 4, 0, 3, 3, 3, 3, 1, 4, 2, 2, 2, 0, 1, 3, 1, 0, 2, 0, 2, 0, 0, 0, 0, 4, 2, 0, 4, 4, 0, 3, 1] pubkeycol867 = [4, 3, 0, 1, 0, 3, 2, 3, 2, 1, 0, 2, 3, 1, 0, 2, 4, 0, 4, 4, 2, 0, 0, 4, 1, 3, 3, 1, 4, 2, 3, 3, 2, 2, 2, 2, 4, 1, 1, 3, 1, 1, 2, 2, 4, 2, 0, 4, 4, 1, 3, 4, 3, 2, 4, 0, 0, 4, 2, 0, 1, 1, 3, 0, 0, 2, 1, 3, 0, 0, 2, 1, 1, 3, 4, 1, 1, 0, 2, 4, 0, 3, 3, 3, 3, 2, 0, 2, 4, 0, 1, 3, 2, 3, 0, 0, 0, 3, 1, 0, 3, 2, 0, 4, 1, 3, 1, 3, 3, 3, 0, 2, 0, 4, 2, 3, 2, 2, 0, 4, 4, 2, 2, 1, 3, 2, 0, 0, 1, 1, 1, 3, 2, 1, 4, 0, 0, 0, 3, 4, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 4, 0, 2, 0, 3, 4, 2, 2, 2, 2, 0, 1, 2, 2, 2, 3, 2, 4, 0, 4, 1, 4, 1, 1, 1, 3, 3, 0, 2, 4, 0, 0, 4, 4, 2, 1, 0, 0, 0, 1, 1, 1, 0, 4, 0, 0, 4, 0, 4, 4, 2, 0, 3, 2, 2, 1, 3, 4, 4, 0, 1, 3, 2, 3, 3, 0, 0, 4, 0, 3, 2, 4, 0, 1, 0, 4, 4, 0, 3, 1, 0, 1, 4, 0, 0, 0, 0, 4, 3, 2, 1, 4, 3, 4, 1, 4, 3, 3, 3, 1, 2, 0, 1, 4, 1, 2, 4, 0, 0, 0, 1, 3, 1, 3, 2, 0, 1, 0, 2, 1, 3, 0, 4, 3, 1, 1, 2, 0, 2, 0, 2, 4, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 3, 4, 2, 3, 0, 2, 0, 1, 2, 1, 2, 2, 3, 3, 4, 2, 2, 4, 2, 1, 1, 0, 2, 4, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 3, 3, 4, 0, 2, 3, 0, 4, 2, 4, 2, 2, 0, 1, 2, 0, 4, 0, 0, 0, 4, 2, 1, 3, 2, 0, 2, 3, 4, 1, 4, 3, 1, 2, 0, 0, 3, 4, 3, 3, 1, 0, 1, 0, 3, 3, 3, 0, 0, 1, 0, 0, 2, 3, 3, 3, 0, 3, 2, 2, 3, 1, 2, 4, 2, 1, 1, 2, 3, 4, 2, 0, 0, 0, 4, 1, 2, 3, 3, 2, 3, 4, 2, 0, 0, 3, 2, 2, 4, 4, 3, 2, 3, 2, 0, 0, 4, 0, 0, 2, 3, 4, 4, 2, 3, 4, 0, 2, 0, 3, 0, 3, 3, 2, 3, 1, 0, 3, 4, 3, 1, 3, 4, 0, 3, 1, 3, 0, 0, 4, 0, 1, 2, 3, 1, 2, 4, 2, 1, 1, 4, 4, 4, 3] pubkeycol868 = [0, 2, 4, 3, 2, 1, 3, 4, 2, 4, 1, 3, 3, 4, 0, 1, 4, 4, 2, 4, 1, 1, 1, 1, 2, 0, 4, 2, 0, 4, 3, 0, 2, 1, 3, 2, 1, 0, 2, 3, 2, 3, 0, 1, 2, 4, 4, 3, 3, 3, 4, 3, 3, 2, 0, 1, 1, 2, 3, 4, 3, 3, 4, 4, 3, 2, 4, 4, 1, 3, 3, 2, 3, 2, 1, 3, 1, 0, 0, 1, 4, 1, 0, 3, 0, 2, 3, 3, 3, 3, 1, 4, 3, 0, 0, 3, 2, 3, 2, 0, 1, 4, 3, 4, 4, 0, 2, 2, 2, 3, 3, 3, 0, 0, 1, 0, 0, 3, 3, 2, 3, 2, 2, 1, 4, 3, 3, 1, 1, 3, 4, 1, 1, 4, 3, 0, 0, 0, 4, 3, 4, 3, 3, 4, 3, 1, 0, 3, 1, 0, 1, 4, 2, 1, 2, 0, 4, 0, 1, 0, 2, 0, 3, 0, 4, 3, 2, 0, 0, 1, 4, 1, 3, 0, 0, 4, 1, 1, 1, 4, 4, 1, 0, 2, 3, 1, 4, 0, 1, 1, 2, 2, 0, 0, 3, 2, 1, 4, 4, 0, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 0, 4, 3, 1, 2, 4, 1, 0, 0, 3, 3, 3, 0, 4, 3, 4, 0, 1, 3, 4, 1, 0, 1, 1, 0, 1, 3, 3, 3, 3, 0, 3, 1, 1, 1, 0, 2, 2, 3, 3, 4, 1, 0, 4, 3, 2, 0, 4, 2, 2, 0, 0, 0, 4, 3, 0, 3, 4, 4, 0, 0, 4, 3, 2, 3, 1, 4, 2, 2, 0, 3, 0, 2, 0, 4, 3, 3, 1, 2, 1, 1, 3, 0, 1, 4, 2, 0, 1, 1, 2, 1, 4, 3, 4, 1, 1, 0, 2, 1, 4, 2, 4, 2, 0, 3, 4, 0, 4, 4, 1, 4, 3, 3, 2, 3, 3, 1, 4, 2, 2, 0, 2, 2, 2, 1, 4, 1, 0, 3, 4, 1, 4, 0, 4, 1, 2, 4, 3, 4, 0, 1, 0, 1, 1, 1, 1, 2, 0, 3, 4, 2, 3, 0, 0, 2, 0, 1, 2, 1, 4, 4, 2, 0, 4, 2, 3, 2, 2, 1, 4, 4, 0, 1, 1, 0, 0, 4, 0, 2, 1, 2, 1, 2, 3, 0, 2, 0, 4, 2, 0, 4, 2, 3, 3, 3, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 4, 4, 1, 3, 4, 1, 1, 1, 1, 0, 3, 4, 2, 4, 1, 3, 1, 0, 1, 1, 1, 3, 3, 1, 1, 1, 2, 4, 4, 4, 0, 4, 3, 2, 4, 3, 1, 3, 2, 4, 1, 4, 0, 0, 1, 2, 0, 3, 3, 3, 0, 4, 1, 3, 1, 4, 3, 1, 1, 1, 0, 4, 1, 1, 3] pubkeycol869 = [4, 3, 1, 1, 1, 1, 3, 4, 3, 2, 0, 4, 1, 3, 0, 2, 0, 0, 4, 3, 4, 1, 0, 1, 2, 1, 0, 1, 4, 4, 1, 2, 1, 0, 0, 4, 3, 2, 4, 2, 4, 2, 1, 4, 3, 4, 3, 0, 4, 1, 0, 4, 3, 1, 0, 4, 2, 0, 0, 3, 1, 1, 4, 0, 3, 2, 0, 3, 2, 0, 2, 4, 1, 4, 2, 1, 2, 1, 0, 4, 4, 0, 0, 4, 3, 1, 2, 3, 4, 0, 3, 4, 4, 0, 3, 0, 1, 1, 4, 2, 3, 1, 4, 2, 2, 0, 4, 2, 1, 0, 4, 0, 0, 2, 2, 1, 3, 3, 4, 1, 4, 0, 4, 4, 0, 1, 4, 1, 2, 0, 1, 3, 3, 3, 4, 0, 4, 3, 2, 3, 2, 2, 3, 2, 2, 1, 0, 3, 0, 0, 3, 0, 2, 2, 0, 2, 4, 4, 1, 1, 3, 1, 2, 3, 2, 1, 1, 3, 0, 3, 0, 4, 3, 1, 3, 4, 0, 1, 3, 1, 2, 1, 2, 4, 3, 0, 1, 1, 0, 0, 2, 0, 3, 0, 2, 3, 1, 3, 0, 1, 1, 1, 4, 3, 2, 4, 0, 2, 2, 4, 0, 3, 0, 0, 2, 3, 4, 1, 1, 4, 1, 2, 4, 4, 0, 4, 0, 0, 1, 2, 2, 3, 4, 2, 1, 1, 1, 0, 0, 0, 1, 1, 4, 4, 3, 3, 2, 4, 0, 1, 3, 3, 1, 4, 3, 4, 3, 2, 2, 4, 1, 3, 0, 0, 0, 4, 4, 1, 1, 4, 1, 1, 2, 1, 4, 3, 1, 2, 0, 3, 4, 1, 3, 0, 1, 3, 0, 4, 4, 3, 1, 1, 3, 4, 0, 3, 1, 3, 3, 1, 2, 4, 3, 0, 2, 3, 3, 1, 1, 0, 3, 4, 1, 2, 3, 2, 3, 2, 0, 3, 4, 1, 4, 0, 2, 4, 3, 1, 0, 4, 2, 2, 3, 1, 4, 1, 4, 1, 2, 3, 0, 1, 1, 1, 3, 0, 4, 4, 2, 0, 2, 0, 1, 3, 3, 1, 2, 3, 4, 4, 3, 3, 0, 3, 4, 4, 3, 3, 0, 3, 1, 3, 0, 4, 0, 2, 1, 3, 3, 1, 1, 4, 3, 4, 1, 4, 0, 1, 1, 1, 4, 0, 4, 0, 3, 4, 4, 0, 4, 4, 2, 1, 1, 4, 4, 4, 0, 0, 1, 0, 1, 2, 0, 1, 4, 0, 4, 3, 1, 1, 3, 1, 3, 0, 2, 1, 3, 4, 4, 3, 1, 1, 3, 1, 0, 2, 0, 2, 1, 3, 2, 0, 3, 3, 1, 4, 2, 4, 3, 4, 2, 3, 2, 2, 3, 2, 0, 0, 2, 2, 3, 3, 3, 3, 1, 2, 1, 0, 4, 4, 3, 3, 3, 0, 0, 1, 3, 0, 0, 2] pubkeycol870 = [3, 2, 1, 4, 4, 3, 4, 2, 4, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 3, 0, 3, 1, 2, 1, 3, 3, 3, 0, 0, 1, 4, 4, 1, 3, 3, 3, 4, 3, 3, 3, 2, 0, 0, 4, 4, 0, 3, 2, 1, 1, 2, 2, 3, 2, 2, 3, 3, 1, 0, 3, 0, 0, 0, 0, 2, 1, 2, 3, 1, 3, 0, 2, 3, 2, 1, 3, 2, 2, 3, 2, 4, 3, 4, 0, 1, 4, 3, 0, 4, 3, 3, 3, 0, 3, 0, 4, 1, 2, 0, 0, 0, 0, 4, 0, 1, 1, 2, 0, 4, 3, 1, 0, 2, 4, 1, 4, 2, 1, 1, 4, 3, 1, 2, 4, 1, 3, 1, 4, 0, 0, 4, 0, 0, 2, 1, 0, 1, 4, 3, 3, 2, 3, 3, 4, 4, 0, 2, 2, 2, 3, 0, 3, 0, 2, 0, 4, 2, 3, 4, 0, 1, 3, 4, 2, 1, 0, 3, 1, 3, 2, 4, 1, 4, 4, 1, 3, 3, 4, 3, 1, 1, 0, 0, 3, 2, 2, 0, 3, 4, 3, 1, 4, 4, 0, 1, 2, 4, 2, 2, 1, 2, 4, 3, 4, 1, 0, 1, 0, 4, 3, 4, 2, 1, 2, 4, 4, 0, 1, 4, 4, 3, 1, 4, 2, 1, 3, 2, 2, 4, 2, 0, 4, 4, 0, 3, 4, 4, 4, 4, 2, 1, 2, 2, 0, 2, 2, 0, 4, 4, 1, 1, 4, 4, 4, 4, 2, 2, 4, 4, 1, 4, 0, 4, 1, 4, 0, 0, 3, 4, 1, 4, 0, 1, 2, 2, 1, 4, 3, 3, 0, 2, 0, 1, 4, 3, 2, 0, 1, 4, 2, 2, 3, 2, 0, 0, 4, 0, 4, 3, 4, 2, 4, 2, 1, 2, 0, 0, 3, 3, 0, 4, 4, 2, 4, 0, 3, 4, 1, 2, 2, 4, 3, 3, 3, 0, 1, 2, 1, 2, 0, 1, 3, 3, 1, 0, 1, 2, 3, 3, 2, 0, 0, 1, 3, 3, 1, 0, 1, 0, 2, 2, 4, 4, 4, 1, 4, 2, 3, 4, 1, 3, 3, 1, 0, 1, 0, 1, 2, 2, 1, 1, 4, 4, 0, 0, 3, 4, 2, 4, 1, 2, 0, 3, 1, 2, 4, 0, 4, 4, 4, 0, 2, 3, 3, 3, 4, 2, 1, 0, 0, 4, 1, 4, 4, 0, 4, 1, 1, 4, 0, 4, 2, 0, 3, 2, 1, 0, 3, 1, 0, 2, 3, 4, 4, 4, 3, 3, 3, 2, 3, 1, 1, 1, 3, 3, 3, 2, 0, 0, 4, 0, 1, 3, 3, 0, 1, 1, 2, 3, 4, 3, 0, 3, 3, 2, 4, 1, 2, 4, 3, 4, 0, 1, 2, 0, 1, 3, 3, 2, 3, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol871 = [3, 4, 0, 1, 4, 4, 4, 2, 1, 4, 0, 1, 4, 2, 2, 3, 0, 2, 1, 0, 0, 3, 3, 1, 3, 4, 1, 2, 1, 2, 0, 1, 3, 1, 4, 2, 4, 4, 4, 4, 2, 0, 3, 2, 0, 3, 1, 2, 3, 4, 1, 3, 1, 3, 2, 3, 1, 0, 3, 3, 4, 1, 3, 4, 1, 2, 2, 0, 4, 4, 4, 2, 4, 1, 3, 2, 3, 4, 4, 4, 3, 3, 0, 0, 2, 3, 2, 0, 1, 3, 4, 3, 0, 4, 2, 0, 3, 1, 1, 0, 2, 4, 3, 4, 3, 0, 1, 3, 2, 1, 1, 1, 4, 2, 1, 1, 2, 4, 2, 3, 2, 1, 3, 0, 3, 2, 4, 1, 1, 4, 2, 0, 2, 3, 1, 2, 4, 3, 2, 3, 1, 0, 1, 1, 2, 1, 1, 2, 2, 4, 0, 2, 4, 3, 3, 1, 1, 3, 2, 0, 4, 2, 0, 3, 0, 3, 3, 3, 0, 3, 2, 1, 0, 4, 2, 1, 2, 3, 4, 4, 4, 1, 1, 4, 2, 3, 3, 3, 3, 3, 2, 2, 2, 0, 1, 3, 0, 2, 3, 3, 2, 1, 0, 2, 2, 2, 1, 3, 4, 4, 4, 4, 4, 3, 2, 0, 1, 2, 2, 4, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 4, 1, 2, 1, 3, 2, 3, 3, 0, 4, 4, 2, 1, 3, 0, 2, 4, 3, 4, 0, 0, 3, 4, 4, 0, 1, 4, 3, 0, 3, 2, 2, 3, 1, 0, 0, 3, 1, 3, 3, 2, 4, 1, 3, 2, 0, 4, 0, 4, 2, 3, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 2, 0, 2, 3, 2, 3, 0, 2, 3, 2, 1, 2, 1, 3, 3, 4, 3, 0, 2, 0, 3, 0, 2, 3, 1, 4, 2, 3, 4, 0, 0, 4, 4, 2, 4, 1, 0, 3, 3, 4, 4, 1, 2, 0, 0, 2, 2, 3, 4, 3, 3, 4, 3, 2, 1, 0, 0, 1, 4, 0, 1, 0, 2, 2, 1, 3, 3, 3, 3, 0, 4, 0, 2, 4, 3, 0, 4, 0, 0, 0, 3, 1, 4, 1, 4, 3, 0, 1, 2, 1, 0, 1, 3, 4, 3, 0, 1, 4, 1, 1, 3, 1, 0, 3, 4, 1, 0, 2, 0, 0, 0, 0, 4, 2, 2, 4, 4, 3, 0, 3, 4, 4, 0, 1, 1, 1, 2, 2, 2, 1, 3, 0, 1, 4, 4, 0, 0, 4, 2, 0, 1, 1, 3, 2, 2, 0, 4, 3, 4, 1, 1, 2, 4, 0, 4, 2, 4, 1, 4, 4, 0, 1, 0, 2, 3, 0, 2, 3, 2, 2, 2, 0, 1, 2, 3, 0, 2, 1, 2, 2, 0, 0, 4] pubkeycol872 = [2, 0, 3, 4, 2, 2, 2, 1, 0, 0, 2, 2, 3, 0, 2, 1, 2, 4, 1, 0, 3, 2, 1, 3, 3, 3, 0, 1, 0, 2, 1, 4, 1, 1, 3, 0, 3, 3, 1, 3, 1, 4, 4, 4, 4, 1, 3, 2, 2, 3, 1, 1, 3, 2, 3, 3, 0, 3, 1, 1, 1, 3, 3, 1, 0, 4, 2, 2, 2, 4, 2, 1, 4, 2, 4, 3, 4, 1, 1, 1, 0, 4, 1, 3, 2, 2, 2, 2, 3, 2, 2, 4, 3, 2, 4, 1, 0, 2, 0, 2, 3, 0, 2, 1, 4, 4, 1, 3, 1, 3, 0, 2, 4, 2, 2, 0, 2, 1, 3, 0, 1, 4, 0, 3, 3, 2, 1, 1, 0, 2, 1, 2, 2, 2, 3, 0, 3, 1, 4, 3, 2, 3, 1, 0, 0, 3, 3, 0, 1, 1, 0, 3, 2, 3, 4, 1, 3, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 3, 2, 0, 3, 1, 3, 3, 2, 4, 0, 3, 4, 4, 2, 2, 1, 1, 1, 4, 1, 0, 4, 1, 3, 2, 1, 0, 0, 2, 0, 2, 2, 1, 3, 1, 3, 3, 0, 2, 1, 4, 0, 2, 3, 1, 3, 2, 0, 0, 4, 3, 4, 1, 2, 4, 2, 4, 2, 3, 2, 2, 1, 4, 1, 3, 2, 2, 4, 3, 4, 0, 0, 0, 3, 4, 1, 3, 0, 1, 3, 2, 1, 4, 3, 3, 1, 1, 0, 4, 0, 2, 4, 2, 1, 3, 4, 0, 2, 3, 2, 0, 4, 0, 2, 2, 1, 4, 0, 3, 3, 4, 1, 2, 1, 1, 1, 3, 1, 0, 2, 0, 4, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 3, 3, 3, 4, 1, 2, 2, 4, 0, 3, 0, 2, 0, 3, 0, 2, 4, 2, 1, 3, 1, 4, 4, 4, 4, 0, 4, 3, 2, 3, 2, 4, 0, 3, 4, 0, 4, 4, 3, 0, 0, 0, 0, 2, 4, 2, 4, 1, 1, 1, 0, 3, 0, 1, 1, 4, 2, 2, 0, 4, 0, 3, 0, 2, 2, 0, 2, 4, 0, 3, 1, 2, 2, 1, 0, 1, 2, 1, 3, 1, 2, 0, 0, 0, 4, 2, 3, 1, 0, 2, 4, 2, 0, 1, 2, 2, 3, 3, 1, 2, 0, 4, 0, 3, 2, 1, 3, 4, 1, 3, 4, 0, 2, 1, 4, 2, 2, 0, 2, 4, 3, 4, 1, 0, 0, 3, 0, 1, 4, 3, 4, 1, 2, 2, 1, 1, 1, 1, 0, 3, 3, 0, 1, 4, 2, 4, 0, 1, 4, 4, 2, 3, 4, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 3, 1, 0, 0, 3, 4, 0, 3, 1, 3, 1, 3] pubkeycol873 = [3, 2, 1, 4, 0, 2, 4, 2, 0, 3, 4, 3, 3, 4, 4, 1, 2, 1, 0, 3, 2, 4, 4, 1, 1, 1, 4, 4, 2, 0, 1, 0, 4, 4, 2, 3, 4, 0, 1, 2, 2, 4, 0, 1, 0, 1, 3, 4, 4, 4, 3, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 4, 3, 0, 0, 3, 2, 4, 2, 2, 4, 2, 4, 2, 4, 3, 4, 3, 1, 2, 4, 3, 4, 3, 4, 1, 2, 2, 1, 1, 3, 0, 3, 4, 1, 4, 2, 4, 1, 3, 2, 4, 4, 1, 3, 0, 4, 1, 0, 2, 2, 3, 4, 4, 4, 0, 2, 1, 2, 3, 4, 3, 1, 4, 1, 3, 3, 2, 4, 4, 4, 3, 4, 1, 3, 0, 2, 0, 0, 0, 4, 3, 4, 0, 2, 1, 1, 4, 3, 0, 2, 0, 1, 2, 0, 2, 1, 3, 1, 2, 1, 4, 2, 0, 4, 0, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 1, 4, 1, 1, 0, 4, 2, 2, 3, 4, 4, 4, 0, 1, 0, 1, 3, 1, 3, 3, 1, 0, 0, 4, 4, 3, 0, 4, 3, 1, 1, 3, 1, 1, 4, 4, 1, 3, 3, 2, 3, 3, 3, 4, 3, 2, 3, 1, 3, 1, 0, 1, 4, 2, 0, 2, 4, 4, 3, 0, 4, 0, 2, 3, 4, 0, 4, 3, 1, 4, 0, 0, 4, 4, 2, 0, 4, 3, 0, 1, 2, 2, 3, 1, 2, 4, 0, 2, 4, 0, 4, 1, 0, 3, 4, 1, 3, 2, 1, 2, 2, 4, 1, 1, 0, 0, 3, 0, 1, 4, 4, 3, 0, 3, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 4, 1, 1, 2, 0, 0, 3, 3, 1, 1, 4, 4, 1, 0, 1, 4, 2, 4, 0, 4, 1, 0, 3, 1, 0, 3, 3, 1, 1, 4, 0, 3, 2, 0, 3, 4, 3, 0, 4, 0, 0, 2, 0, 0, 0, 2, 2, 0, 4, 2, 3, 2, 3, 1, 1, 3, 3, 4, 3, 1, 4, 2, 1, 0, 4, 3, 3, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 3, 4, 4, 0, 3, 2, 4, 2, 1, 1, 0, 1, 0, 2, 2, 0, 3, 3, 0, 4, 3, 3, 0, 4, 1, 0, 4, 1, 4, 2, 1, 1, 1, 0, 1, 0, 4, 4, 2, 2, 3, 3, 1, 1, 3, 3, 3, 2, 2, 2, 3, 3, 2, 4, 0, 1, 1, 1, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 3, 2, 3, 2, 1, 2, 2, 1, 2, 0, 4, 3, 1, 1, 4, 2, 4, 2, 2, 1, 3, 1, 2, 0, 3, 3, 0, 1, 2] pubkeycol874 = [4, 3, 1, 0, 2, 0, 4, 2, 3, 2, 1, 2, 3, 0, 0, 0, 4, 1, 1, 0, 1, 4, 1, 3, 4, 0, 1, 0, 0, 4, 4, 0, 4, 2, 0, 4, 0, 4, 2, 2, 3, 0, 2, 1, 1, 2, 3, 4, 0, 1, 4, 2, 3, 3, 3, 4, 2, 0, 1, 2, 3, 3, 4, 4, 3, 0, 4, 1, 2, 0, 3, 1, 4, 0, 2, 1, 2, 3, 3, 1, 4, 1, 0, 3, 3, 2, 1, 0, 4, 1, 0, 1, 0, 4, 1, 3, 1, 1, 1, 1, 0, 3, 0, 0, 0, 2, 2, 3, 0, 2, 3, 3, 1, 3, 3, 3, 1, 3, 3, 0, 0, 2, 1, 0, 3, 1, 2, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 4, 3, 3, 3, 3, 4, 1, 4, 1, 0, 1, 1, 4, 3, 0, 3, 4, 0, 1, 4, 2, 4, 4, 0, 1, 0, 4, 1, 4, 3, 3, 2, 1, 3, 3, 0, 4, 3, 0, 3, 3, 1, 2, 1, 3, 2, 1, 3, 2, 3, 0, 1, 2, 2, 0, 4, 4, 2, 3, 3, 2, 3, 4, 2, 3, 2, 4, 2, 3, 3, 3, 0, 1, 0, 2, 4, 2, 0, 1, 3, 1, 3, 4, 1, 3, 3, 4, 4, 0, 0, 4, 0, 1, 1, 3, 2, 2, 2, 3, 4, 4, 4, 2, 2, 1, 0, 4, 3, 2, 4, 3, 3, 4, 0, 2, 1, 0, 1, 4, 2, 2, 3, 3, 4, 1, 1, 4, 2, 1, 1, 1, 0, 3, 0, 1, 0, 2, 3, 3, 3, 4, 3, 3, 0, 3, 2, 1, 3, 1, 4, 0, 4, 3, 4, 3, 1, 2, 1, 0, 0, 0, 2, 3, 1, 3, 2, 0, 1, 2, 3, 1, 3, 1, 4, 3, 0, 4, 0, 4, 0, 3, 3, 2, 2, 4, 1, 0, 3, 4, 3, 2, 0, 2, 2, 2, 4, 1, 2, 3, 1, 4, 2, 4, 2, 1, 1, 0, 1, 2, 1, 2, 4, 0, 3, 4, 4, 0, 2, 2, 4, 3, 3, 3, 2, 2, 3, 0, 4, 0, 4, 2, 1, 1, 1, 2, 1, 1, 0, 4, 1, 3, 0, 2, 4, 4, 3, 4, 2, 0, 4, 4, 1, 2, 2, 3, 2, 4, 2, 2, 4, 3, 3, 0, 0, 3, 0, 2, 0, 4, 0, 2, 4, 3, 2, 1, 0, 3, 1, 0, 0, 2, 1, 4, 1, 4, 4, 4, 2, 3, 0, 0, 4, 0, 0, 1, 2, 4, 2, 3, 2, 3, 2, 1, 3, 3, 4, 0, 4, 0, 2, 4, 3, 3, 1, 4, 4, 3, 0, 2, 0, 4, 4, 2, 0, 4, 2, 0, 4, 0, 2, 0, 4, 2, 2, 4, 1, 0, 4, 1, 3, 1, 3, 3] pubkeycol875 = [1, 1, 2, 1, 4, 1, 1, 3, 4, 1, 4, 4, 2, 3, 1, 2, 3, 2, 3, 3, 2, 0, 4, 0, 2, 4, 0, 3, 0, 3, 4, 0, 2, 1, 2, 1, 4, 4, 2, 3, 2, 3, 3, 1, 4, 2, 3, 0, 2, 2, 1, 0, 2, 1, 0, 3, 2, 4, 0, 2, 4, 4, 2, 3, 1, 4, 3, 3, 0, 0, 4, 1, 0, 2, 2, 0, 2, 3, 0, 4, 0, 0, 0, 1, 3, 1, 0, 1, 3, 2, 2, 0, 3, 3, 3, 1, 1, 2, 0, 3, 4, 2, 2, 2, 4, 3, 2, 1, 3, 1, 3, 2, 0, 2, 4, 1, 3, 3, 4, 0, 0, 0, 3, 3, 2, 4, 3, 2, 4, 0, 0, 2, 1, 3, 2, 2, 3, 0, 4, 3, 1, 2, 3, 0, 4, 1, 4, 1, 4, 0, 3, 0, 2, 2, 1, 3, 4, 2, 3, 1, 4, 1, 0, 3, 1, 1, 1, 1, 2, 1, 3, 3, 3, 0, 3, 2, 3, 2, 2, 1, 2, 2, 1, 2, 4, 0, 4, 0, 1, 2, 2, 4, 3, 0, 0, 4, 4, 1, 1, 0, 4, 4, 3, 1, 2, 0, 2, 1, 4, 0, 0, 0, 1, 4, 2, 2, 4, 4, 3, 0, 0, 0, 1, 4, 2, 2, 3, 2, 4, 4, 0, 0, 3, 0, 2, 3, 4, 3, 1, 4, 1, 3, 1, 4, 0, 2, 3, 0, 1, 3, 0, 0, 3, 3, 3, 1, 2, 3, 1, 4, 0, 3, 2, 2, 1, 0, 0, 0, 4, 2, 4, 1, 0, 4, 2, 4, 2, 2, 3, 1, 1, 3, 0, 3, 2, 3, 2, 3, 0, 1, 2, 2, 4, 4, 1, 0, 2, 4, 3, 0, 3, 2, 3, 2, 2, 3, 3, 2, 4, 4, 0, 0, 3, 0, 3, 1, 3, 4, 4, 0, 4, 1, 0, 0, 3, 0, 0, 4, 4, 0, 2, 0, 1, 2, 4, 4, 2, 2, 3, 0, 1, 2, 2, 4, 3, 1, 4, 4, 1, 2, 1, 3, 2, 4, 2, 3, 4, 0, 3, 3, 4, 2, 1, 3, 1, 1, 2, 4, 4, 4, 4, 2, 3, 4, 3, 2, 1, 2, 1, 2, 4, 3, 2, 1, 3, 0, 3, 0, 0, 4, 3, 0, 0, 4, 0, 0, 4, 0, 2, 2, 2, 2, 3, 3, 0, 0, 3, 1, 2, 1, 0, 4, 1, 3, 4, 4, 4, 1, 1, 2, 2, 2, 0, 1, 4, 1, 2, 2, 4, 3, 3, 2, 4, 3, 1, 0, 4, 3, 3, 2, 3, 0, 2, 0, 4, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 3, 4, 1, 1, 3, 4, 1, 4, 2, 3, 3, 3, 1, 0, 0, 1, 3, 4, 4, 3, 3, 3, 4, 3, 2] pubkeycol876 = [1, 2, 4, 2, 4, 4, 3, 4, 3, 1, 2, 1, 3, 4, 3, 1, 4, 0, 4, 3, 2, 1, 3, 3, 1, 0, 0, 0, 3, 4, 1, 2, 3, 3, 4, 2, 3, 1, 4, 1, 3, 1, 4, 3, 0, 4, 0, 4, 3, 2, 2, 4, 2, 2, 2, 0, 1, 3, 2, 2, 2, 2, 2, 0, 1, 4, 4, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 3, 4, 2, 4, 4, 2, 3, 1, 3, 1, 1, 0, 1, 4, 2, 2, 0, 2, 4, 3, 2, 4, 2, 4, 2, 2, 4, 1, 4, 1, 3, 0, 3, 2, 0, 1, 0, 1, 2, 0, 4, 1, 2, 0, 1, 0, 3, 4, 1, 0, 2, 3, 1, 2, 3, 0, 2, 3, 4, 0, 3, 0, 1, 3, 4, 0, 2, 3, 2, 3, 4, 3, 4, 2, 2, 4, 2, 4, 2, 2, 4, 2, 1, 1, 1, 4, 0, 4, 0, 4, 4, 4, 0, 3, 3, 1, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 3, 3, 4, 2, 2, 0, 1, 3, 4, 1, 3, 3, 0, 0, 2, 2, 3, 2, 4, 4, 3, 2, 0, 1, 2, 1, 2, 4, 0, 2, 4, 0, 3, 3, 0, 1, 3, 3, 2, 1, 1, 0, 1, 1, 4, 1, 2, 1, 0, 4, 3, 0, 2, 2, 3, 2, 3, 3, 4, 0, 4, 4, 3, 4, 1, 2, 4, 1, 2, 1, 3, 2, 0, 4, 1, 0, 0, 0, 4, 1, 3, 4, 2, 1, 4, 4, 1, 0, 3, 1, 2, 0, 2, 4, 2, 3, 2, 1, 2, 1, 2, 0, 0, 1, 3, 2, 3, 3, 1, 2, 3, 1, 0, 3, 4, 0, 1, 3, 3, 1, 1, 4, 2, 1, 2, 3, 0, 3, 4, 1, 2, 4, 1, 1, 3, 2, 2, 4, 0, 1, 1, 0, 4, 0, 0, 1, 2, 0, 3, 0, 0, 1, 2, 4, 2, 1, 4, 2, 1, 0, 3, 2, 0, 0, 2, 3, 3, 1, 2, 1, 1, 4, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 1, 4, 1, 2, 1, 4, 2, 3, 1, 2, 3, 2, 0, 4, 0, 3, 1, 3, 4, 0, 3, 2, 4, 1, 0, 2, 3, 2, 0, 2, 1, 2, 4, 3, 1, 4, 2, 1, 2, 3, 3, 4, 1, 1, 1, 0, 4, 2, 2, 1, 3, 3, 2, 4, 4, 4, 0, 1, 4, 4, 2, 2, 4, 4, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 3, 4, 3, 2, 4, 1, 2, 0, 2, 2, 3, 4, 4, 2, 4, 3, 1, 4, 1, 2, 3, 0, 3, 4, 0, 4, 0, 0, 3, 3, 3, 4, 4, 4, 4, 3, 2, 1, 1] pubkeycol877 = [0, 0, 1, 3, 1, 0, 0, 3, 0, 4, 3, 1, 1, 2, 3, 0, 3, 0, 4, 2, 0, 4, 1, 4, 0, 2, 4, 1, 3, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 3, 0, 2, 1, 0, 4, 2, 3, 0, 2, 1, 3, 0, 1, 3, 4, 3, 0, 0, 3, 4, 1, 3, 0, 4, 2, 1, 1, 4, 2, 0, 1, 2, 3, 2, 2, 0, 1, 4, 4, 1, 0, 4, 2, 4, 0, 1, 1, 4, 3, 2, 1, 2, 1, 4, 3, 4, 4, 3, 3, 2, 4, 3, 0, 4, 4, 3, 0, 1, 3, 4, 3, 0, 4, 0, 2, 3, 0, 1, 0, 0, 1, 4, 3, 1, 4, 3, 4, 2, 4, 3, 2, 0, 2, 4, 3, 2, 0, 4, 3, 0, 2, 3, 1, 0, 2, 2, 3, 0, 0, 0, 2, 1, 3, 0, 4, 0, 4, 2, 2, 2, 4, 3, 0, 2, 0, 3, 2, 0, 2, 0, 0, 0, 1, 1, 4, 2, 1, 2, 0, 4, 4, 0, 0, 1, 0, 0, 1, 0, 1, 1, 4, 0, 0, 0, 3, 3, 4, 3, 2, 4, 4, 1, 4, 4, 4, 4, 2, 1, 4, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 1, 0, 1, 0, 0, 0, 0, 4, 0, 3, 1, 1, 1, 2, 4, 3, 0, 3, 3, 3, 4, 0, 1, 4, 0, 2, 4, 0, 2, 0, 0, 4, 4, 2, 2, 2, 2, 0, 2, 4, 1, 0, 2, 1, 3, 1, 0, 1, 1, 0, 4, 4, 4, 1, 4, 4, 2, 0, 2, 3, 3, 0, 2, 3, 3, 2, 1, 0, 1, 0, 0, 1, 3, 3, 4, 4, 2, 3, 1, 2, 3, 4, 3, 3, 2, 4, 0, 3, 2, 4, 0, 0, 4, 0, 4, 2, 2, 1, 0, 1, 0, 1, 3, 0, 0, 4, 3, 4, 0, 4, 2, 4, 2, 2, 2, 4, 2, 4, 1, 3, 4, 1, 4, 3, 3, 4, 4, 1, 2, 1, 2, 2, 1, 3, 3, 4, 3, 3, 3, 3, 0, 0, 0, 4, 2, 4, 0, 3, 1, 0, 3, 2, 3, 0, 3, 1, 0, 3, 0, 1, 1, 4, 1, 4, 4, 4, 3, 2, 1, 4, 1, 3, 2, 1, 3, 2, 3, 2, 3, 4, 1, 2, 1, 1, 2, 4, 1, 4, 0, 3, 1, 2, 1, 4, 4, 2, 4, 1, 4, 2, 2, 0, 1, 0, 2, 1, 0, 1, 3, 4, 3, 2, 0, 1, 2, 1, 3, 0, 4, 2, 2, 2, 0, 3, 3, 0, 0, 1, 0, 0, 3, 2, 1, 4, 4, 2, 2, 1, 3, 4, 4, 3, 1, 4, 4, 4, 2, 2, 2, 2, 0, 1, 4, 2, 1, 3, 1, 4, 3, 0] pubkeycol878 = [2, 2, 2, 2, 2, 3, 4, 2, 0, 3, 1, 1, 1, 2, 2, 0, 2, 3, 3, 2, 0, 4, 4, 4, 1, 4, 0, 3, 4, 1, 2, 3, 0, 0, 4, 0, 0, 2, 3, 3, 2, 2, 3, 3, 4, 2, 0, 1, 0, 0, 0, 4, 2, 0, 1, 2, 2, 0, 4, 4, 3, 4, 2, 1, 0, 1, 3, 1, 2, 3, 2, 2, 1, 2, 4, 1, 2, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 3, 4, 0, 4, 3, 4, 3, 2, 1, 1, 2, 1, 0, 4, 0, 4, 2, 3, 1, 4, 3, 4, 1, 1, 0, 2, 1, 3, 0, 4, 3, 2, 0, 2, 1, 4, 2, 2, 0, 4, 4, 3, 4, 4, 3, 3, 4, 0, 0, 0, 1, 4, 1, 3, 0, 0, 4, 1, 3, 0, 0, 2, 0, 0, 4, 3, 3, 3, 3, 0, 2, 1, 0, 1, 0, 2, 4, 1, 2, 2, 3, 1, 3, 0, 1, 2, 4, 2, 3, 3, 0, 0, 0, 4, 4, 3, 0, 2, 0, 0, 0, 3, 4, 2, 2, 4, 1, 4, 2, 3, 1, 4, 1, 1, 2, 3, 2, 3, 0, 1, 1, 0, 0, 2, 0, 0, 0, 4, 3, 0, 3, 1, 2, 4, 2, 2, 1, 4, 3, 3, 2, 1, 3, 4, 0, 1, 4, 4, 1, 0, 2, 4, 2, 4, 1, 0, 1, 3, 2, 0, 2, 0, 4, 3, 0, 0, 4, 3, 4, 0, 3, 3, 4, 3, 3, 4, 0, 2, 1, 4, 0, 3, 3, 0, 4, 4, 4, 0, 4, 1, 1, 2, 0, 2, 2, 2, 2, 3, 2, 2, 4, 2, 2, 1, 1, 4, 3, 1, 3, 1, 1, 1, 4, 1, 0, 2, 2, 3, 3, 1, 0, 0, 2, 2, 1, 4, 4, 1, 1, 3, 0, 1, 3, 0, 3, 0, 2, 2, 4, 1, 1, 1, 4, 0, 0, 0, 0, 1, 0, 3, 1, 1, 3, 3, 3, 3, 0, 4, 2, 4, 1, 3, 4, 0, 1, 3, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 3, 0, 4, 3, 3, 2, 3, 2, 0, 0, 2, 4, 0, 1, 2, 2, 1, 0, 4, 1, 4, 2, 3, 2, 3, 1, 1, 2, 4, 4, 3, 0, 2, 0, 1, 1, 0, 3, 0, 4, 0, 0, 2, 0, 3, 4, 3, 1, 3, 1, 2, 0, 2, 1, 1, 4, 1, 1, 1, 1, 0, 0, 4, 4, 2, 3, 4, 2, 1, 4, 4, 3, 2, 0, 2, 4, 3, 3, 2, 2, 2, 2, 1, 3, 4, 1, 4, 1, 4, 4, 1, 0, 2, 0, 3, 3, 1, 0, 4, 3, 2, 3, 4, 4, 0, 1, 1, 3, 3, 1, 1, 0, 4, 1, 1, 3, 0] pubkeycol879 = [2, 3, 0, 4, 4, 2, 4, 4, 4, 0, 0, 4, 4, 4, 2, 4, 0, 2, 0, 3, 4, 3, 1, 1, 0, 3, 4, 4, 3, 1, 0, 3, 2, 1, 1, 3, 3, 1, 2, 4, 3, 2, 3, 3, 0, 1, 4, 0, 1, 2, 4, 4, 2, 3, 0, 3, 2, 0, 4, 2, 2, 2, 1, 0, 1, 2, 0, 3, 3, 4, 3, 3, 1, 2, 3, 4, 4, 4, 4, 2, 0, 4, 0, 0, 1, 0, 2, 3, 3, 3, 1, 2, 1, 4, 4, 2, 4, 3, 0, 0, 4, 1, 4, 1, 1, 0, 4, 1, 2, 0, 3, 3, 0, 0, 4, 4, 2, 1, 4, 4, 3, 0, 4, 2, 4, 1, 1, 1, 2, 4, 1, 1, 4, 3, 2, 4, 0, 4, 0, 2, 1, 1, 4, 3, 0, 1, 2, 3, 3, 4, 3, 0, 0, 3, 1, 0, 0, 1, 3, 3, 3, 4, 4, 4, 2, 4, 2, 4, 3, 2, 3, 3, 4, 4, 1, 1, 4, 4, 4, 3, 2, 0, 0, 0, 3, 1, 0, 4, 0, 1, 0, 1, 1, 3, 4, 1, 1, 0, 4, 4, 1, 0, 1, 4, 2, 2, 2, 2, 1, 1, 4, 0, 1, 2, 3, 1, 2, 4, 0, 1, 1, 4, 1, 2, 2, 2, 4, 4, 0, 1, 0, 2, 4, 4, 2, 4, 0, 3, 2, 3, 2, 2, 4, 4, 2, 0, 0, 0, 4, 0, 0, 1, 2, 4, 4, 0, 0, 4, 4, 1, 2, 0, 4, 1, 2, 1, 1, 2, 3, 1, 1, 0, 4, 3, 0, 0, 2, 4, 0, 4, 1, 1, 2, 1, 4, 1, 2, 0, 0, 2, 3, 3, 3, 3, 1, 0, 4, 3, 3, 0, 4, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 4, 2, 2, 1, 4, 3, 2, 4, 3, 2, 3, 1, 2, 0, 4, 2, 4, 1, 0, 0, 2, 3, 0, 4, 0, 3, 0, 2, 0, 3, 0, 2, 0, 0, 3, 0, 3, 4, 0, 4, 0, 3, 3, 0, 3, 4, 3, 4, 1, 4, 4, 0, 2, 4, 4, 2, 0, 1, 3, 0, 2, 4, 2, 1, 2, 1, 2, 3, 3, 1, 4, 1, 4, 2, 1, 4, 4, 2, 2, 2, 4, 0, 2, 1, 3, 0, 3, 3, 4, 0, 2, 4, 0, 0, 0, 1, 0, 1, 2, 3, 2, 0, 4, 3, 0, 1, 4, 3, 2, 3, 3, 0, 3, 0, 4, 2, 1, 2, 0, 0, 1, 4, 3, 3, 4, 1, 0, 3, 1, 3, 2, 2, 3, 3, 4, 0, 4, 0, 0, 0, 0, 3, 1, 4, 1, 2, 4, 1, 2, 0, 1, 4, 2, 4, 2, 3, 1, 2, 4, 3, 3, 0, 0, 0, 4, 0, 0] pubkeycol880 = [2, 3, 2, 4, 2, 4, 1, 0, 1, 4, 4, 1, 0, 2, 3, 4, 2, 1, 1, 2, 2, 3, 0, 2, 2, 1, 2, 3, 4, 2, 0, 3, 1, 1, 3, 4, 4, 3, 0, 1, 4, 3, 0, 3, 0, 2, 4, 2, 4, 3, 2, 4, 2, 0, 4, 4, 4, 0, 2, 1, 3, 4, 4, 3, 0, 4, 3, 3, 1, 0, 1, 4, 1, 3, 1, 4, 2, 1, 0, 2, 2, 1, 1, 3, 3, 3, 1, 3, 0, 1, 2, 3, 3, 3, 4, 3, 2, 0, 1, 2, 2, 1, 1, 4, 3, 4, 4, 4, 1, 2, 2, 1, 1, 0, 1, 4, 3, 4, 0, 3, 1, 0, 1, 0, 2, 3, 3, 3, 2, 4, 0, 2, 4, 4, 3, 1, 1, 4, 2, 0, 4, 3, 1, 4, 1, 2, 1, 0, 0, 4, 2, 0, 1, 0, 1, 1, 3, 3, 0, 4, 2, 3, 3, 3, 2, 0, 3, 4, 3, 1, 4, 4, 0, 1, 3, 4, 0, 2, 4, 1, 4, 1, 3, 4, 4, 3, 4, 0, 2, 2, 2, 2, 4, 0, 0, 3, 2, 2, 4, 3, 3, 1, 2, 4, 0, 4, 2, 0, 2, 0, 0, 0, 0, 3, 3, 0, 0, 1, 0, 2, 3, 2, 1, 0, 4, 1, 3, 0, 0, 3, 0, 2, 3, 2, 1, 0, 0, 4, 3, 4, 2, 3, 0, 1, 0, 3, 1, 2, 3, 1, 3, 0, 3, 4, 2, 0, 0, 0, 3, 3, 0, 3, 2, 1, 4, 0, 4, 3, 3, 3, 0, 2, 2, 1, 4, 4, 4, 3, 4, 2, 4, 3, 1, 1, 2, 4, 4, 2, 3, 3, 2, 4, 2, 3, 0, 3, 4, 0, 3, 4, 2, 1, 4, 0, 4, 2, 0, 3, 1, 2, 1, 1, 4, 2, 2, 2, 3, 0, 1, 4, 3, 1, 4, 2, 3, 0, 3, 3, 3, 3, 4, 4, 3, 3, 1, 4, 1, 1, 1, 3, 4, 4, 1, 0, 1, 3, 2, 3, 0, 1, 0, 0, 0, 1, 2, 2, 3, 1, 4, 0, 1, 3, 3, 4, 0, 3, 1, 1, 4, 2, 4, 0, 1, 2, 4, 1, 2, 3, 4, 0, 4, 4, 0, 2, 1, 0, 4, 1, 2, 2, 3, 1, 3, 2, 2, 4, 0, 4, 0, 3, 0, 4, 3, 0, 0, 4, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 3, 1, 2, 3, 1, 0, 0, 1, 1, 3, 0, 4, 1, 3, 1, 3, 4, 0, 4, 3, 0, 2, 0, 3, 4, 0, 4, 2, 3, 0, 4, 1, 4, 3, 4, 3, 3, 4, 3, 2, 0, 2, 0, 2, 1, 1, 4, 2, 4, 2, 2] pubkeycol881 = [1, 3, 0, 0, 4, 2, 0, 1, 1, 2, 1, 2, 3, 1, 3, 2, 2, 4, 2, 3, 1, 0, 2, 2, 0, 3, 0, 4, 4, 3, 4, 1, 3, 3, 3, 3, 3, 4, 2, 0, 3, 3, 3, 2, 3, 3, 3, 4, 3, 4, 4, 2, 0, 3, 2, 1, 0, 2, 0, 0, 4, 3, 4, 1, 3, 1, 3, 4, 3, 3, 1, 2, 3, 2, 4, 2, 2, 4, 0, 3, 4, 4, 3, 0, 2, 3, 3, 2, 2, 3, 3, 0, 3, 1, 3, 1, 1, 1, 0, 3, 4, 3, 0, 1, 4, 3, 2, 0, 2, 3, 3, 0, 0, 1, 4, 1, 1, 4, 1, 1, 4, 1, 2, 1, 3, 1, 1, 3, 0, 4, 4, 2, 4, 1, 4, 3, 2, 1, 4, 0, 3, 1, 2, 2, 3, 1, 4, 0, 0, 1, 0, 1, 3, 1, 4, 0, 1, 1, 3, 1, 2, 1, 4, 3, 3, 2, 3, 0, 1, 2, 0, 0, 4, 4, 4, 1, 0, 4, 0, 2, 0, 4, 1, 0, 2, 1, 4, 0, 0, 1, 0, 4, 3, 4, 2, 3, 4, 1, 3, 0, 2, 4, 0, 1, 2, 0, 0, 3, 2, 2, 0, 4, 2, 0, 4, 3, 1, 2, 0, 1, 3, 1, 4, 3, 2, 1, 1, 0, 3, 1, 4, 4, 1, 2, 2, 1, 1, 4, 3, 1, 0, 0, 1, 3, 2, 1, 2, 4, 0, 2, 0, 4, 3, 3, 4, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 4, 1, 0, 1, 1, 2, 1, 1, 1, 1, 4, 3, 0, 0, 4, 2, 2, 1, 4, 3, 0, 2, 1, 3, 2, 3, 4, 2, 1, 2, 3, 2, 2, 4, 0, 2, 4, 0, 3, 3, 4, 3, 4, 0, 4, 1, 0, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 4, 1, 0, 0, 2, 4, 4, 3, 0, 2, 2, 0, 3, 1, 0, 4, 1, 2, 2, 1, 2, 1, 4, 1, 4, 0, 3, 3, 4, 4, 4, 3, 1, 2, 4, 4, 4, 2, 3, 0, 3, 0, 0, 0, 3, 1, 3, 3, 2, 0, 1, 2, 4, 0, 3, 0, 0, 0, 2, 1, 4, 3, 1, 3, 1, 0, 3, 0, 1, 2, 4, 0, 1, 4, 2, 2, 2, 3, 3, 0, 1, 2, 2, 1, 3, 1, 4, 2, 2, 2, 1, 1, 0, 2, 3, 1, 4, 1, 4, 3, 3, 3, 4, 0, 3, 4, 2, 4, 1, 2, 2, 4, 2, 1, 3, 2, 1, 4, 2, 3, 1, 1, 4, 1, 0, 0, 4, 0, 2, 3, 1, 0, 0, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 1, 1, 4, 1, 4, 4, 1, 1] pubkeycol882 = [3, 0, 1, 3, 4, 4, 3, 3, 3, 2, 1, 1, 3, 3, 4, 2, 2, 0, 4, 2, 0, 2, 2, 1, 4, 2, 1, 2, 2, 1, 1, 4, 4, 2, 4, 4, 3, 0, 2, 0, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 2, 3, 0, 4, 0, 1, 3, 1, 0, 3, 1, 0, 3, 0, 0, 4, 2, 1, 3, 3, 1, 0, 3, 0, 0, 1, 0, 2, 1, 4, 2, 2, 1, 4, 1, 2, 1, 4, 3, 0, 0, 1, 2, 4, 2, 4, 2, 4, 0, 0, 1, 3, 3, 3, 1, 3, 2, 4, 2, 1, 0, 4, 1, 2, 2, 3, 1, 1, 3, 0, 4, 0, 4, 4, 0, 3, 1, 0, 2, 4, 4, 4, 0, 0, 1, 4, 3, 3, 0, 0, 3, 1, 4, 1, 0, 2, 1, 4, 1, 4, 4, 4, 1, 1, 0, 4, 1, 2, 3, 1, 1, 0, 3, 4, 2, 1, 2, 3, 0, 3, 3, 2, 0, 3, 4, 3, 1, 0, 4, 1, 4, 4, 1, 0, 0, 0, 1, 4, 1, 1, 4, 0, 0, 0, 1, 4, 0, 4, 4, 0, 0, 4, 1, 3, 0, 1, 0, 3, 3, 1, 1, 2, 1, 0, 1, 2, 3, 2, 1, 3, 1, 0, 1, 4, 1, 2, 2, 4, 0, 0, 2, 3, 4, 2, 0, 2, 1, 2, 3, 0, 2, 2, 4, 2, 0, 4, 1, 4, 0, 2, 1, 0, 4, 0, 4, 4, 2, 2, 3, 1, 0, 3, 2, 3, 4, 3, 3, 2, 0, 1, 1, 0, 4, 3, 3, 4, 3, 2, 1, 3, 2, 3, 3, 4, 4, 2, 3, 0, 3, 2, 0, 2, 2, 1, 4, 0, 3, 4, 0, 0, 1, 0, 0, 0, 4, 1, 4, 0, 1, 0, 4, 1, 1, 3, 2, 2, 3, 3, 2, 1, 1, 3, 2, 0, 3, 2, 1, 1, 1, 1, 3, 2, 3, 1, 4, 2, 2, 3, 2, 1, 2, 0, 2, 3, 4, 3, 4, 3, 1, 2, 2, 0, 4, 1, 3, 1, 0, 4, 3, 0, 3, 1, 2, 0, 4, 4, 1, 1, 4, 1, 2, 3, 0, 0, 1, 4, 4, 2, 3, 2, 4, 0, 3, 1, 4, 2, 1, 2, 4, 3, 3, 4, 0, 0, 3, 2, 0, 4, 4, 4, 3, 4, 0, 3, 2, 0, 3, 1, 1, 4, 2, 4, 4, 1, 2, 0, 2, 3, 4, 3, 1, 3, 2, 0, 3, 1, 2, 1, 4, 1, 1, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 1, 4, 0, 4, 0, 3, 2, 0, 0, 2, 1, 4, 0, 4, 2, 2, 0, 4, 1, 1, 3, 1, 3, 4, 4, 4, 0, 2, 4, 0, 3, 0, 4, 4, 1, 3, 0, 3, 3] pubkeycol883 = [2, 2, 0, 4, 3, 4, 0, 4, 3, 1, 2, 3, 3, 0, 0, 2, 1, 4, 4, 4, 0, 3, 2, 0, 4, 2, 4, 2, 3, 0, 3, 1, 1, 2, 1, 3, 0, 4, 0, 1, 3, 3, 3, 1, 1, 4, 3, 2, 2, 2, 0, 4, 2, 0, 3, 2, 3, 4, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 4, 3, 3, 1, 1, 3, 4, 2, 4, 0, 2, 2, 1, 1, 3, 4, 1, 0, 4, 2, 0, 4, 0, 3, 4, 3, 1, 2, 2, 2, 3, 3, 4, 2, 1, 4, 0, 0, 3, 0, 0, 1, 3, 4, 4, 4, 4, 2, 4, 0, 3, 3, 0, 1, 1, 1, 2, 0, 1, 0, 3, 2, 0, 1, 0, 0, 4, 0, 3, 2, 4, 2, 0, 4, 0, 4, 2, 4, 2, 4, 0, 4, 0, 1, 4, 1, 2, 2, 0, 4, 0, 0, 1, 1, 1, 4, 4, 4, 3, 0, 1, 4, 4, 0, 0, 2, 1, 1, 3, 3, 3, 4, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 3, 2, 4, 4, 0, 3, 3, 4, 1, 3, 3, 4, 0, 2, 2, 3, 4, 2, 0, 2, 1, 4, 0, 1, 4, 0, 2, 0, 3, 4, 0, 1, 2, 2, 1, 1, 4, 3, 3, 4, 3, 0, 0, 2, 3, 4, 2, 1, 4, 4, 3, 0, 3, 4, 4, 0, 1, 4, 2, 0, 3, 1, 2, 2, 4, 2, 4, 1, 4, 2, 2, 4, 3, 1, 0, 1, 2, 0, 4, 0, 1, 0, 4, 4, 2, 4, 3, 1, 2, 1, 4, 0, 4, 4, 2, 1, 2, 4, 4, 2, 2, 1, 1, 0, 0, 1, 3, 4, 1, 2, 0, 4, 3, 1, 0, 1, 0, 4, 0, 0, 4, 2, 2, 3, 0, 2, 0, 0, 2, 1, 4, 0, 0, 4, 0, 3, 4, 1, 4, 0, 3, 2, 1, 1, 4, 1, 3, 3, 0, 2, 0, 0, 3, 0, 0, 1, 4, 3, 0, 0, 1, 1, 4, 3, 1, 0, 1, 3, 3, 3, 0, 3, 4, 0, 1, 2, 2, 4, 3, 2, 0, 3, 2, 1, 4, 3, 3, 2, 1, 2, 3, 1, 2, 3, 3, 4, 2, 0, 1, 2, 2, 1, 4, 4, 0, 0, 4, 3, 1, 2, 0, 2, 4, 4, 3, 1, 0, 4, 1, 3, 1, 3, 0, 0, 1, 3, 3, 4, 2, 2, 0, 2, 4, 4, 3, 0, 4, 1, 0, 4, 3, 4, 0, 2, 2, 4, 1, 3, 1, 2, 1, 1, 0, 0, 0, 4, 3, 2, 0, 0, 1, 4, 2, 1, 4, 4, 1, 2, 3, 1, 4, 4, 4, 3, 0, 0, 2, 0, 2, 0, 3, 3, 4, 1, 4, 2, 3, 0] pubkeycol884 = [2, 0, 2, 3, 2, 1, 3, 4, 4, 2, 4, 0, 4, 0, 0, 3, 4, 1, 2, 1, 2, 4, 3, 4, 4, 2, 0, 3, 3, 0, 3, 3, 0, 2, 0, 4, 1, 4, 1, 0, 0, 0, 2, 4, 0, 1, 0, 2, 1, 1, 4, 3, 1, 0, 0, 3, 2, 0, 2, 2, 0, 4, 1, 0, 0, 1, 4, 0, 4, 2, 0, 4, 0, 2, 1, 1, 0, 3, 4, 2, 3, 3, 1, 4, 2, 3, 3, 0, 4, 4, 1, 0, 3, 1, 2, 3, 0, 3, 3, 4, 0, 3, 1, 3, 2, 0, 2, 3, 3, 3, 2, 1, 1, 2, 1, 0, 1, 3, 0, 2, 0, 3, 4, 2, 3, 0, 4, 4, 2, 1, 3, 2, 0, 0, 2, 1, 2, 0, 2, 1, 3, 0, 1, 4, 0, 4, 1, 3, 1, 3, 3, 4, 1, 3, 3, 1, 4, 3, 2, 3, 0, 4, 4, 2, 3, 3, 3, 0, 0, 2, 0, 4, 3, 0, 2, 3, 4, 2, 1, 1, 0, 3, 4, 2, 1, 0, 3, 4, 1, 4, 4, 1, 1, 3, 0, 0, 4, 1, 1, 4, 1, 2, 1, 1, 0, 0, 4, 0, 1, 1, 3, 0, 3, 1, 2, 4, 3, 0, 0, 0, 2, 2, 2, 3, 0, 3, 3, 2, 3, 3, 2, 0, 1, 3, 4, 1, 3, 2, 3, 0, 1, 3, 0, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 0, 4, 0, 2, 1, 2, 3, 2, 0, 1, 1, 3, 3, 1, 4, 2, 4, 3, 2, 4, 4, 3, 0, 0, 2, 2, 2, 3, 1, 4, 1, 3, 3, 3, 2, 2, 4, 1, 0, 4, 2, 2, 4, 1, 3, 2, 0, 3, 2, 4, 1, 2, 1, 1, 2, 4, 1, 1, 4, 4, 2, 0, 3, 3, 3, 2, 3, 3, 3, 4, 2, 3, 3, 0, 2, 3, 3, 0, 0, 1, 4, 2, 3, 3, 0, 1, 3, 0, 3, 1, 2, 1, 1, 1, 4, 2, 1, 2, 3, 4, 2, 1, 4, 3, 2, 1, 0, 1, 0, 3, 3, 3, 2, 4, 1, 3, 1, 0, 1, 3, 3, 1, 1, 1, 3, 3, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 3, 2, 1, 1, 0, 0, 2, 0, 4, 1, 2, 3, 3, 1, 3, 2, 1, 1, 2, 4, 4, 0, 1, 2, 3, 0, 1, 1, 3, 0, 3, 0, 4, 1, 1, 1, 4, 0, 0, 4, 1, 1, 2, 2, 3, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 3, 2, 4, 1, 4, 1, 0, 3, 3, 4, 0, 2, 4, 3, 4, 1, 3, 2, 3, 2, 0, 0, 2, 1, 0, 4, 3, 1, 1, 1, 1, 4] pubkeycol885 = [4, 2, 0, 0, 4, 3, 1, 0, 3, 1, 2, 3, 4, 1, 0, 4, 0, 1, 3, 0, 4, 2, 0, 2, 0, 0, 1, 3, 0, 4, 1, 4, 4, 2, 0, 4, 2, 4, 2, 1, 3, 4, 0, 2, 3, 4, 0, 3, 4, 1, 4, 1, 4, 3, 1, 0, 2, 2, 4, 4, 4, 3, 0, 3, 2, 0, 2, 0, 0, 1, 0, 2, 0, 3, 1, 4, 4, 2, 3, 1, 0, 0, 3, 1, 1, 2, 2, 2, 0, 3, 0, 1, 4, 3, 1, 2, 4, 3, 0, 3, 3, 4, 2, 0, 1, 3, 1, 0, 0, 1, 1, 1, 0, 2, 3, 2, 3, 3, 0, 3, 1, 0, 1, 2, 4, 2, 0, 3, 2, 4, 3, 4, 4, 3, 4, 3, 1, 3, 1, 0, 3, 1, 2, 3, 0, 4, 0, 4, 2, 4, 1, 4, 4, 4, 2, 1, 0, 2, 3, 2, 2, 4, 1, 3, 0, 1, 0, 0, 3, 3, 1, 0, 2, 0, 4, 0, 0, 0, 3, 2, 2, 4, 2, 0, 4, 2, 0, 4, 1, 4, 1, 4, 1, 2, 4, 3, 2, 0, 4, 4, 0, 4, 2, 3, 3, 4, 3, 2, 0, 4, 4, 4, 0, 0, 4, 1, 4, 3, 1, 3, 1, 1, 2, 2, 1, 1, 3, 4, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 0, 4, 0, 0, 1, 2, 3, 1, 1, 3, 1, 1, 0, 0, 0, 1, 3, 0, 1, 4, 4, 3, 4, 4, 4, 0, 3, 1, 3, 3, 4, 4, 0, 0, 2, 2, 1, 1, 0, 4, 3, 2, 1, 2, 4, 0, 2, 2, 4, 0, 4, 1, 2, 1, 0, 2, 4, 0, 0, 0, 2, 3, 4, 4, 2, 4, 3, 1, 3, 4, 0, 3, 4, 1, 3, 3, 1, 0, 2, 3, 2, 4, 1, 4, 4, 2, 2, 4, 1, 1, 1, 0, 4, 2, 0, 0, 4, 2, 4, 4, 2, 2, 3, 0, 1, 4, 2, 2, 4, 1, 3, 0, 4, 4, 0, 4, 3, 0, 1, 1, 2, 3, 2, 0, 2, 0, 3, 0, 1, 0, 2, 3, 0, 4, 4, 4, 1, 1, 0, 3, 1, 4, 2, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 4, 3, 2, 4, 2, 2, 3, 3, 0, 2, 0, 2, 4, 4, 3, 1, 4, 3, 0, 1, 0, 0, 4, 2, 3, 0, 0, 3, 1, 0, 1, 2, 0, 3, 4, 1, 0, 2, 0, 1, 4, 2, 2, 4, 0, 2, 4, 0, 3, 3, 1, 4, 2, 0, 3, 0, 1, 4, 4, 4, 1, 1, 4, 2, 3, 3, 4, 0, 0, 0, 2, 2, 1, 2, 4, 2, 0, 3, 2] pubkeycol886 = [2, 2, 4, 0, 3, 0, 4, 3, 1, 0, 2, 0, 3, 1, 0, 0, 4, 4, 2, 3, 0, 4, 2, 3, 1, 2, 1, 3, 1, 1, 4, 4, 4, 2, 4, 2, 3, 2, 0, 0, 0, 2, 3, 4, 3, 2, 2, 2, 1, 4, 1, 2, 2, 2, 2, 3, 4, 0, 2, 1, 3, 2, 0, 0, 2, 2, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 3, 1, 4, 0, 2, 0, 4, 3, 2, 4, 4, 1, 0, 3, 0, 0, 4, 3, 2, 4, 1, 4, 4, 4, 0, 4, 4, 4, 2, 1, 1, 1, 4, 2, 2, 1, 0, 0, 0, 0, 0, 4, 0, 4, 2, 1, 0, 1, 3, 1, 1, 4, 4, 3, 1, 4, 2, 2, 2, 4, 3, 1, 1, 0, 1, 0, 0, 0, 3, 0, 2, 2, 4, 2, 2, 1, 4, 3, 4, 4, 4, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 4, 4, 3, 3, 3, 1, 4, 2, 1, 0, 1, 3, 4, 1, 1, 3, 1, 2, 1, 3, 0, 3, 1, 2, 4, 1, 3, 2, 2, 0, 4, 2, 3, 4, 0, 1, 1, 3, 0, 2, 1, 1, 1, 3, 3, 0, 4, 3, 1, 4, 1, 4, 0, 1, 0, 4, 4, 0, 0, 0, 0, 1, 1, 4, 4, 4, 0, 1, 3, 0, 0, 1, 3, 0, 1, 2, 0, 4, 2, 3, 2, 2, 1, 2, 3, 3, 3, 4, 2, 2, 1, 4, 1, 4, 4, 1, 0, 4, 3, 4, 0, 2, 2, 3, 1, 1, 4, 3, 0, 0, 0, 4, 1, 3, 4, 3, 0, 1, 1, 4, 2, 4, 2, 1, 4, 1, 4, 0, 2, 4, 4, 4, 2, 1, 1, 4, 0, 2, 3, 2, 2, 2, 0, 3, 1, 3, 1, 0, 2, 4, 4, 0, 4, 0, 1, 2, 0, 1, 2, 2, 4, 3, 2, 2, 2, 2, 3, 2, 3, 1, 2, 4, 4, 3, 2, 1, 0, 2, 2, 4, 1, 2, 1, 1, 0, 1, 1, 4, 3, 0, 3, 3, 2, 4, 0, 1, 0, 3, 4, 4, 3, 3, 2, 0, 0, 4, 1, 2, 0, 3, 0, 0, 0, 3, 2, 1, 4, 2, 4, 1, 4, 2, 3, 0, 4, 0, 4, 0, 0, 3, 1, 1, 3, 0, 0, 3, 4, 1, 3, 4, 4, 3, 0, 4, 1, 3, 4, 0, 1, 4, 2, 4, 4, 1, 3, 4, 4, 2, 3, 4, 0, 2, 4, 1, 2, 1, 3, 4, 1, 4, 1, 2, 1, 1, 4, 2, 3, 2, 0, 0, 2, 0, 0, 3, 3, 0, 1, 3, 1, 4, 3, 3, 1, 3, 4, 0, 3, 2, 3, 0, 2, 2, 0, 4] pubkeycol887 = [0, 3, 0, 2, 4, 1, 0, 2, 0, 2, 0, 0, 3, 3, 0, 4, 1, 2, 3, 0, 1, 3, 1, 1, 4, 4, 2, 4, 1, 1, 1, 0, 1, 3, 3, 3, 1, 4, 0, 3, 4, 3, 2, 4, 3, 4, 4, 3, 4, 3, 1, 2, 2, 2, 1, 1, 4, 0, 3, 2, 3, 0, 1, 0, 0, 3, 2, 4, 1, 2, 0, 2, 4, 2, 0, 4, 4, 4, 1, 3, 0, 0, 3, 2, 2, 1, 3, 1, 2, 2, 1, 2, 4, 0, 2, 4, 4, 1, 2, 4, 2, 2, 4, 4, 2, 3, 0, 0, 4, 1, 1, 1, 2, 1, 4, 3, 0, 1, 3, 1, 1, 0, 1, 0, 2, 1, 1, 4, 1, 1, 0, 2, 1, 1, 4, 0, 2, 0, 0, 4, 3, 4, 4, 2, 4, 3, 0, 3, 3, 0, 2, 1, 4, 2, 3, 0, 3, 2, 4, 4, 4, 0, 1, 1, 1, 2, 3, 2, 2, 1, 2, 2, 1, 4, 2, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 4, 3, 2, 4, 4, 0, 2, 2, 0, 4, 3, 1, 3, 1, 3, 0, 2, 3, 3, 1, 1, 2, 2, 4, 4, 2, 2, 4, 1, 4, 0, 2, 4, 0, 2, 0, 1, 3, 4, 2, 4, 3, 2, 3, 1, 0, 4, 0, 2, 4, 2, 3, 0, 0, 2, 0, 2, 1, 1, 4, 0, 2, 2, 4, 2, 3, 0, 3, 4, 1, 0, 4, 0, 2, 2, 4, 0, 2, 2, 4, 2, 0, 1, 1, 2, 1, 1, 4, 1, 2, 0, 3, 3, 3, 2, 0, 0, 1, 3, 1, 4, 2, 2, 2, 2, 2, 1, 1, 0, 2, 3, 2, 0, 0, 2, 0, 4, 2, 0, 4, 1, 0, 4, 2, 0, 3, 0, 3, 3, 3, 3, 0, 0, 1, 3, 0, 4, 1, 1, 4, 3, 2, 4, 2, 3, 2, 2, 1, 4, 0, 3, 1, 3, 2, 1, 1, 3, 0, 4, 3, 3, 0, 3, 1, 2, 2, 2, 3, 1, 0, 0, 0, 4, 2, 1, 0, 4, 0, 4, 2, 1, 3, 4, 4, 4, 4, 0, 4, 2, 0, 1, 0, 2, 4, 4, 0, 4, 1, 4, 0, 1, 3, 3, 4, 1, 1, 4, 4, 3, 3, 4, 3, 2, 1, 3, 3, 0, 1, 4, 0, 3, 0, 0, 2, 2, 0, 2, 3, 4, 2, 3, 2, 0, 1, 4, 3, 3, 4, 1, 1, 2, 4, 2, 4, 2, 4, 4, 4, 1, 2, 1, 2, 0, 1, 4, 2, 1, 0, 4, 2, 2, 1, 1, 3, 0, 3, 1, 0, 3, 2, 1, 3, 3, 2, 3, 1, 1, 2, 1, 2, 0, 3, 3, 4, 4, 0, 1, 1, 0, 2, 0, 1, 4, 2, 0] pubkeycol888 = [3, 1, 1, 2, 1, 4, 0, 4, 3, 1, 1, 1, 0, 1, 3, 3, 2, 2, 1, 0, 0, 3, 4, 0, 1, 3, 2, 3, 2, 0, 4, 4, 1, 4, 2, 3, 3, 3, 4, 1, 4, 2, 4, 4, 4, 2, 4, 0, 3, 3, 0, 0, 4, 1, 2, 0, 2, 3, 1, 0, 2, 0, 1, 4, 2, 1, 3, 0, 2, 1, 4, 2, 0, 0, 4, 1, 4, 4, 2, 0, 0, 3, 3, 2, 3, 3, 4, 3, 2, 0, 3, 2, 2, 0, 0, 3, 0, 1, 1, 3, 4, 3, 2, 1, 0, 4, 4, 4, 3, 2, 1, 1, 3, 4, 0, 3, 2, 2, 3, 3, 3, 4, 2, 2, 0, 3, 3, 0, 4, 0, 4, 2, 1, 2, 2, 1, 1, 4, 2, 0, 4, 2, 0, 4, 1, 4, 2, 0, 1, 3, 4, 4, 2, 0, 2, 3, 2, 1, 3, 2, 3, 1, 4, 1, 2, 0, 4, 0, 2, 4, 3, 1, 4, 2, 0, 4, 0, 3, 3, 3, 0, 2, 4, 2, 4, 2, 2, 0, 2, 3, 3, 3, 1, 1, 3, 3, 0, 0, 1, 2, 3, 0, 0, 3, 2, 2, 0, 4, 1, 0, 1, 2, 1, 4, 3, 1, 3, 1, 3, 4, 2, 2, 2, 2, 3, 4, 2, 3, 1, 3, 3, 2, 0, 2, 1, 0, 2, 4, 4, 0, 0, 3, 2, 2, 3, 0, 2, 4, 0, 0, 2, 2, 3, 1, 1, 4, 3, 3, 0, 0, 4, 4, 2, 1, 3, 4, 2, 0, 2, 3, 0, 3, 0, 3, 0, 0, 4, 3, 1, 3, 4, 0, 0, 1, 1, 1, 0, 0, 2, 3, 3, 4, 3, 3, 0, 4, 4, 0, 0, 4, 1, 4, 4, 2, 0, 4, 4, 3, 0, 1, 1, 0, 2, 1, 3, 1, 0, 0, 0, 1, 2, 2, 3, 1, 4, 2, 1, 3, 1, 3, 1, 1, 1, 2, 2, 1, 2, 1, 3, 3, 3, 0, 4, 2, 1, 3, 1, 3, 1, 4, 1, 4, 4, 4, 0, 3, 4, 2, 2, 2, 0, 1, 1, 4, 0, 2, 4, 0, 0, 2, 3, 2, 2, 3, 1, 2, 2, 1, 0, 0, 1, 3, 2, 0, 2, 0, 2, 2, 0, 3, 2, 1, 1, 1, 2, 1, 4, 2, 3, 4, 3, 0, 3, 2, 4, 0, 1, 0, 2, 4, 3, 2, 3, 2, 4, 0, 4, 2, 1, 4, 0, 1, 1, 2, 3, 3, 0, 4, 4, 3, 1, 2, 3, 3, 4, 3, 3, 2, 4, 4, 4, 3, 1, 4, 2, 3, 2, 1, 3, 4, 2, 2, 1, 2, 2, 4, 1, 4, 2, 1, 2, 1, 2, 3, 0, 0, 2, 2, 3, 3, 4, 3, 4, 3, 0, 0, 2, 0, 2, 0] pubkeycol889 = [4, 3, 2, 4, 2, 4, 4, 1, 1, 0, 3, 1, 4, 1, 0, 1, 1, 4, 3, 2, 1, 1, 0, 4, 3, 1, 4, 3, 1, 4, 3, 4, 3, 2, 0, 4, 4, 1, 1, 1, 4, 2, 4, 2, 4, 0, 2, 2, 2, 3, 0, 1, 4, 0, 1, 0, 2, 0, 1, 3, 4, 0, 0, 2, 4, 3, 1, 1, 3, 4, 3, 0, 4, 3, 4, 4, 1, 3, 2, 1, 4, 2, 2, 3, 2, 0, 4, 0, 2, 1, 1, 2, 1, 4, 3, 0, 4, 3, 4, 0, 3, 1, 0, 1, 3, 4, 3, 0, 3, 1, 0, 4, 1, 2, 2, 4, 2, 3, 4, 3, 3, 0, 1, 0, 3, 2, 2, 1, 0, 4, 3, 1, 4, 3, 3, 0, 4, 0, 0, 2, 3, 1, 2, 1, 0, 3, 2, 3, 0, 2, 3, 0, 0, 0, 0, 1, 3, 2, 2, 4, 2, 0, 4, 2, 2, 4, 4, 0, 0, 0, 3, 0, 2, 3, 1, 1, 1, 2, 3, 0, 2, 3, 1, 4, 1, 1, 3, 2, 3, 0, 0, 2, 4, 4, 0, 0, 0, 2, 3, 1, 1, 1, 2, 2, 4, 1, 2, 0, 2, 2, 4, 0, 0, 0, 1, 0, 1, 0, 4, 1, 0, 4, 0, 3, 0, 1, 4, 4, 4, 4, 2, 4, 4, 1, 4, 3, 2, 4, 3, 2, 1, 4, 1, 3, 3, 4, 4, 1, 2, 3, 1, 1, 1, 4, 3, 0, 2, 1, 0, 2, 1, 0, 4, 4, 1, 2, 4, 3, 0, 1, 1, 3, 0, 4, 4, 1, 1, 4, 2, 4, 1, 0, 1, 4, 0, 1, 3, 1, 3, 4, 2, 4, 3, 3, 3, 1, 1, 2, 0, 2, 3, 4, 1, 2, 3, 3, 0, 2, 1, 0, 1, 0, 4, 3, 1, 1, 1, 0, 2, 2, 2, 0, 3, 2, 0, 1, 2, 1, 3, 1, 3, 4, 3, 4, 1, 3, 4, 3, 3, 2, 1, 3, 4, 4, 4, 2, 1, 3, 2, 2, 2, 3, 3, 2, 2, 2, 4, 4, 0, 3, 3, 0, 3, 3, 0, 3, 1, 2, 4, 0, 4, 0, 2, 3, 4, 2, 0, 4, 1, 4, 2, 3, 2, 2, 2, 1, 0, 2, 1, 2, 2, 3, 0, 0, 1, 3, 1, 1, 4, 4, 0, 0, 2, 0, 4, 1, 1, 3, 2, 1, 4, 1, 4, 2, 1, 4, 1, 4, 0, 2, 0, 0, 1, 4, 2, 2, 1, 3, 0, 1, 3, 4, 2, 3, 0, 0, 3, 2, 1, 0, 0, 3, 2, 2, 4, 3, 3, 3, 0, 1, 1, 4, 4, 2, 3, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 4, 1, 0, 3, 2, 2, 4, 3, 0, 4, 0, 4, 2, 1, 2] pubkeycol890 = [3, 0, 1, 3, 0, 4, 4, 1, 1, 0, 0, 1, 3, 0, 3, 1, 4, 4, 3, 0, 4, 2, 1, 2, 3, 1, 2, 1, 0, 1, 1, 1, 3, 3, 0, 3, 3, 3, 4, 3, 2, 4, 3, 0, 2, 0, 4, 2, 3, 2, 1, 3, 0, 4, 2, 0, 0, 0, 0, 2, 1, 1, 2, 4, 1, 4, 4, 3, 4, 2, 0, 1, 3, 4, 1, 3, 3, 3, 4, 2, 2, 0, 4, 0, 2, 1, 1, 2, 3, 0, 0, 4, 0, 4, 0, 1, 2, 1, 1, 3, 4, 0, 3, 0, 3, 2, 4, 4, 3, 3, 2, 0, 0, 0, 4, 0, 0, 4, 3, 2, 2, 0, 3, 4, 2, 1, 0, 1, 0, 1, 1, 3, 2, 2, 2, 2, 4, 2, 1, 3, 0, 4, 2, 4, 4, 0, 4, 2, 3, 2, 4, 4, 3, 2, 4, 3, 4, 3, 3, 0, 2, 2, 1, 4, 3, 4, 4, 2, 3, 4, 4, 2, 3, 4, 4, 4, 3, 2, 2, 4, 3, 0, 1, 1, 1, 4, 1, 1, 1, 2, 1, 3, 1, 3, 0, 4, 3, 1, 4, 1, 0, 1, 1, 4, 0, 2, 0, 3, 2, 0, 1, 0, 4, 0, 1, 4, 0, 2, 0, 0, 3, 1, 3, 4, 4, 1, 3, 1, 3, 4, 3, 1, 0, 2, 4, 0, 3, 2, 4, 1, 0, 1, 3, 3, 0, 1, 2, 2, 4, 2, 4, 0, 2, 1, 0, 3, 4, 4, 4, 3, 3, 3, 0, 3, 4, 1, 2, 2, 3, 3, 0, 0, 4, 3, 0, 2, 0, 3, 4, 4, 4, 0, 0, 3, 1, 2, 3, 2, 4, 0, 0, 1, 4, 3, 0, 4, 0, 0, 2, 0, 3, 0, 0, 1, 3, 4, 3, 3, 4, 2, 1, 1, 3, 4, 3, 3, 0, 2, 0, 0, 0, 3, 0, 3, 3, 4, 3, 0, 2, 4, 0, 4, 0, 1, 2, 1, 2, 3, 1, 3, 0, 3, 1, 4, 1, 0, 0, 2, 1, 3, 0, 2, 3, 1, 1, 4, 2, 0, 2, 3, 3, 4, 3, 1, 1, 3, 0, 3, 4, 3, 1, 1, 1, 4, 0, 2, 2, 1, 0, 3, 1, 0, 1, 1, 3, 1, 4, 3, 2, 2, 1, 3, 3, 2, 4, 1, 3, 1, 2, 1, 1, 2, 0, 1, 3, 2, 3, 4, 0, 2, 0, 3, 1, 4, 0, 3, 1, 4, 1, 1, 2, 4, 4, 0, 1, 1, 3, 0, 3, 2, 0, 4, 1, 2, 1, 1, 2, 1, 0, 1, 0, 4, 3, 3, 0, 3, 1, 3, 1, 4, 1, 1, 4, 2, 0, 0, 2, 3, 1, 4, 4, 2, 2, 4, 4, 1, 3, 1, 2, 4, 1, 3, 4, 3, 1, 1, 2, 3, 2, 1] pubkeycol891 = [4, 3, 4, 0, 2, 1, 4, 0, 2, 2, 4, 4, 3, 1, 1, 1, 0, 4, 4, 3, 3, 3, 2, 2, 3, 3, 2, 0, 1, 0, 3, 0, 2, 1, 3, 2, 2, 2, 1, 2, 2, 1, 3, 0, 4, 2, 0, 3, 3, 1, 0, 2, 0, 2, 1, 4, 1, 2, 1, 1, 3, 2, 2, 3, 0, 4, 0, 1, 3, 0, 1, 1, 4, 2, 2, 3, 4, 3, 2, 2, 0, 1, 1, 0, 4, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 3, 4, 3, 3, 4, 2, 2, 1, 0, 1, 3, 0, 1, 1, 3, 0, 2, 2, 0, 4, 3, 0, 2, 2, 0, 1, 4, 3, 4, 1, 2, 4, 4, 0, 4, 3, 3, 1, 1, 0, 1, 2, 2, 3, 0, 4, 4, 2, 3, 2, 1, 4, 1, 0, 0, 4, 4, 3, 3, 4, 2, 2, 2, 0, 0, 3, 3, 1, 4, 3, 1, 1, 0, 3, 0, 4, 0, 2, 4, 4, 2, 2, 1, 3, 3, 3, 4, 0, 4, 2, 1, 0, 3, 3, 2, 2, 0, 2, 4, 2, 1, 4, 4, 4, 2, 3, 3, 4, 1, 1, 1, 4, 0, 0, 3, 2, 0, 2, 4, 0, 3, 4, 1, 1, 4, 0, 3, 0, 2, 3, 0, 1, 2, 0, 2, 3, 2, 0, 1, 3, 4, 0, 1, 4, 4, 4, 0, 2, 0, 2, 4, 2, 0, 2, 3, 0, 4, 2, 1, 0, 1, 4, 2, 4, 4, 4, 0, 1, 3, 2, 1, 1, 1, 3, 1, 3, 0, 2, 4, 3, 2, 3, 0, 3, 0, 1, 3, 3, 0, 2, 4, 2, 2, 4, 1, 3, 1, 4, 4, 4, 0, 0, 4, 0, 2, 2, 2, 1, 2, 4, 2, 4, 2, 0, 1, 1, 0, 1, 4, 4, 3, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 0, 3, 3, 4, 3, 3, 4, 2, 4, 4, 0, 2, 0, 2, 0, 2, 2, 3, 1, 3, 4, 3, 0, 2, 4, 4, 2, 1, 2, 2, 3, 2, 4, 4, 1, 0, 4, 2, 4, 4, 0, 0, 1, 1, 3, 3, 1, 1, 1, 0, 2, 4, 1, 4, 4, 2, 3, 1, 3, 3, 2, 3, 0, 3, 1, 0, 2, 1, 1, 4, 1, 4, 2, 4, 1, 3, 4, 3, 3, 4, 3, 2, 4, 0, 2, 0, 1, 4, 1, 3, 0, 0, 3, 0, 1, 0, 4, 4, 4, 1, 1, 2, 1, 2, 1, 0, 0, 1, 3, 4, 3, 1, 1, 0, 4, 1, 2, 4, 2, 4, 3, 3, 3, 3, 3, 1, 4, 0, 4, 1, 4, 0, 4, 0, 1, 1, 4, 3, 1, 2, 0, 1, 2, 2, 4, 2, 4, 2, 4, 1, 2, 3] pubkeycol892 = [4, 1, 2, 0, 3, 1, 3, 1, 1, 0, 0, 3, 2, 4, 2, 1, 4, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 3, 0, 3, 2, 0, 1, 2, 4, 2, 3, 1, 3, 3, 0, 1, 1, 1, 4, 2, 2, 0, 0, 4, 3, 2, 3, 3, 1, 1, 3, 4, 2, 3, 1, 3, 4, 3, 2, 3, 2, 0, 2, 0, 3, 2, 3, 1, 2, 0, 4, 3, 3, 2, 2, 2, 1, 3, 2, 2, 4, 2, 3, 3, 4, 1, 0, 0, 2, 1, 3, 0, 0, 4, 2, 0, 0, 2, 1, 3, 2, 0, 3, 3, 1, 2, 1, 1, 3, 2, 0, 0, 4, 2, 2, 4, 2, 2, 0, 3, 2, 1, 3, 1, 1, 3, 0, 1, 0, 4, 1, 4, 3, 1, 1, 2, 4, 4, 2, 2, 4, 2, 2, 4, 3, 2, 1, 4, 3, 1, 0, 2, 1, 4, 3, 0, 3, 4, 0, 0, 0, 1, 1, 0, 0, 3, 1, 1, 2, 2, 3, 2, 2, 0, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 2, 0, 3, 2, 4, 0, 0, 1, 2, 4, 1, 4, 2, 0, 3, 0, 0, 2, 2, 4, 0, 1, 0, 0, 4, 4, 4, 0, 1, 0, 4, 2, 3, 2, 3, 1, 2, 4, 4, 0, 1, 2, 4, 1, 0, 4, 4, 3, 4, 2, 2, 3, 4, 2, 4, 0, 2, 1, 4, 1, 3, 2, 4, 0, 1, 4, 1, 1, 2, 3, 2, 1, 4, 2, 0, 1, 0, 4, 0, 3, 0, 4, 3, 4, 3, 0, 3, 0, 2, 0, 3, 4, 3, 3, 4, 0, 0, 3, 0, 3, 3, 0, 3, 0, 2, 4, 1, 2, 3, 2, 3, 0, 1, 3, 1, 0, 4, 2, 0, 2, 2, 3, 1, 4, 2, 2, 1, 3, 1, 0, 3, 3, 1, 4, 0, 2, 4, 1, 2, 3, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 1, 3, 4, 1, 0, 4, 1, 2, 4, 0, 3, 0, 4, 2, 4, 1, 2, 4, 3, 1, 4, 2, 0, 3, 4, 0, 2, 3, 1, 4, 0, 4, 1, 4, 1, 3, 4, 2, 3, 2, 1, 1, 3, 3, 4, 0, 2, 0, 1, 2, 3, 2, 4, 4, 1, 3, 4, 1, 3, 1, 1, 4, 3, 4, 2, 2, 3, 0, 0, 0, 3, 3, 1, 0, 1, 3, 1, 2, 2, 0, 4, 3, 4, 4, 3, 0, 0, 0, 0, 0, 2, 0, 4, 4, 2, 4, 0, 0, 0, 4, 2, 2, 3, 0, 3, 1, 4, 0, 3, 0, 3, 4, 2, 1, 0, 4, 2, 3, 1, 0, 2, 2, 1, 0, 0, 0, 4, 0, 1, 0, 3, 3, 2, 0, 3, 4, 3, 3, 4, 1] pubkeycol893 = [4, 2, 3, 2, 4, 4, 2, 3, 4, 4, 3, 1, 4, 2, 3, 0, 1, 3, 2, 3, 4, 2, 4, 3, 4, 2, 3, 0, 3, 0, 3, 3, 2, 2, 1, 4, 3, 4, 2, 4, 3, 2, 1, 2, 0, 2, 0, 2, 3, 1, 1, 2, 3, 0, 3, 0, 1, 4, 2, 1, 2, 4, 3, 3, 2, 3, 4, 0, 0, 2, 4, 1, 2, 4, 4, 3, 1, 3, 1, 0, 2, 1, 1, 4, 1, 2, 3, 2, 3, 3, 0, 0, 1, 0, 3, 0, 0, 1, 4, 2, 2, 0, 3, 1, 3, 3, 1, 3, 2, 2, 3, 2, 0, 3, 0, 0, 2, 2, 3, 4, 2, 1, 4, 2, 2, 1, 1, 2, 4, 3, 4, 0, 4, 2, 3, 1, 3, 0, 0, 3, 0, 0, 3, 4, 4, 1, 1, 0, 2, 2, 0, 3, 2, 0, 3, 0, 1, 4, 1, 2, 2, 0, 4, 3, 3, 3, 2, 4, 1, 0, 4, 4, 4, 2, 4, 4, 2, 0, 4, 3, 1, 3, 0, 4, 1, 0, 3, 0, 0, 3, 1, 4, 3, 3, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 3, 0, 1, 3, 2, 3, 0, 3, 2, 2, 3, 2, 1, 4, 0, 1, 4, 2, 1, 4, 3, 2, 1, 0, 0, 0, 4, 3, 3, 4, 2, 3, 3, 3, 3, 4, 4, 1, 4, 1, 3, 1, 3, 1, 2, 4, 4, 1, 2, 3, 0, 0, 3, 4, 0, 3, 2, 4, 4, 2, 1, 3, 0, 0, 2, 1, 1, 1, 3, 2, 0, 1, 3, 1, 1, 2, 0, 4, 1, 4, 4, 2, 3, 0, 2, 1, 1, 2, 0, 3, 1, 1, 3, 3, 3, 1, 4, 1, 2, 1, 0, 3, 0, 0, 0, 4, 1, 1, 4, 3, 1, 3, 0, 4, 2, 4, 0, 0, 4, 1, 4, 2, 4, 3, 4, 0, 4, 1, 3, 3, 4, 4, 0, 3, 1, 3, 2, 2, 0, 4, 4, 3, 0, 2, 3, 2, 1, 3, 0, 4, 3, 3, 2, 2, 4, 0, 0, 4, 0, 0, 1, 2, 1, 4, 2, 1, 3, 0, 4, 4, 2, 4, 3, 3, 2, 3, 4, 3, 2, 3, 2, 2, 1, 4, 0, 2, 0, 1, 4, 2, 4, 1, 4, 2, 4, 1, 3, 0, 3, 1, 1, 1, 2, 4, 3, 4, 1, 2, 3, 4, 0, 0, 1, 0, 0, 0, 3, 1, 3, 0, 0, 2, 2, 3, 4, 1, 4, 4, 3, 1, 3, 1, 1, 2, 3, 3, 2, 4, 3, 0, 3, 4, 4, 4, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 3, 0, 3, 0, 3, 3, 3, 3, 3, 2, 3, 1, 4, 3, 3, 3, 0, 2, 1, 1] pubkeycol894 = [3, 3, 0, 0, 3, 1, 4, 1, 4, 0, 3, 1, 0, 2, 2, 3, 0, 3, 1, 4, 4, 1, 4, 0, 3, 4, 1, 1, 2, 4, 4, 2, 4, 4, 2, 0, 0, 4, 1, 0, 4, 0, 3, 4, 3, 0, 2, 3, 2, 2, 3, 2, 1, 4, 0, 3, 0, 3, 3, 0, 2, 1, 0, 0, 2, 2, 2, 0, 3, 3, 1, 0, 0, 4, 3, 2, 4, 4, 0, 0, 4, 3, 4, 2, 2, 3, 3, 2, 4, 0, 3, 4, 1, 1, 1, 3, 1, 2, 0, 1, 4, 4, 4, 1, 4, 2, 4, 2, 1, 0, 2, 1, 0, 1, 3, 0, 4, 4, 0, 1, 4, 2, 2, 0, 0, 4, 1, 3, 1, 1, 3, 1, 2, 4, 4, 2, 4, 2, 0, 3, 1, 1, 3, 2, 2, 1, 3, 2, 4, 4, 4, 4, 0, 1, 1, 0, 4, 1, 0, 2, 2, 1, 3, 0, 0, 4, 1, 1, 0, 3, 1, 2, 3, 1, 0, 4, 4, 4, 2, 1, 4, 3, 1, 0, 2, 3, 3, 1, 3, 4, 1, 1, 1, 0, 0, 1, 1, 4, 2, 3, 4, 4, 1, 3, 1, 3, 4, 2, 0, 2, 2, 1, 1, 3, 2, 4, 3, 4, 4, 1, 0, 2, 4, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 4, 3, 1, 1, 0, 2, 4, 4, 3, 2, 3, 3, 2, 2, 0, 3, 1, 0, 0, 2, 1, 2, 1, 1, 1, 3, 1, 3, 2, 0, 0, 3, 2, 4, 2, 3, 2, 2, 2, 1, 4, 2, 1, 4, 1, 2, 1, 0, 0, 1, 3, 0, 1, 1, 1, 1, 2, 0, 2, 3, 3, 4, 2, 4, 2, 1, 4, 0, 3, 2, 2, 0, 1, 1, 0, 3, 2, 3, 3, 3, 3, 4, 3, 0, 3, 0, 0, 0, 0, 2, 2, 4, 3, 1, 4, 3, 1, 2, 0, 3, 2, 4, 2, 2, 2, 0, 0, 0, 1, 4, 4, 1, 3, 2, 3, 3, 0, 1, 0, 4, 1, 1, 3, 1, 0, 3, 3, 2, 3, 4, 3, 3, 4, 4, 0, 4, 1, 2, 1, 0, 3, 3, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 4, 0, 3, 2, 1, 2, 2, 3, 1, 4, 2, 0, 1, 3, 4, 4, 0, 3, 3, 2, 1, 2, 3, 3, 3, 0, 4, 0, 0, 2, 0, 1, 2, 1, 2, 3, 3, 2, 3, 3, 3, 2, 4, 0, 4, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 4, 2, 4, 0, 0, 1, 1, 1, 1, 4, 4, 4, 0, 1, 2, 3, 1, 4, 4, 2, 3, 1, 1, 3, 0, 2, 3, 2, 1, 0, 3, 0, 1, 1, 2, 3, 3, 0] pubkeycol895 = [2, 3, 2, 4, 2, 1, 0, 3, 3, 2, 4, 3, 3, 1, 3, 0, 2, 2, 0, 3, 1, 2, 2, 2, 1, 0, 3, 2, 0, 1, 2, 0, 1, 4, 2, 1, 2, 1, 3, 2, 3, 4, 2, 1, 1, 3, 4, 3, 3, 0, 0, 4, 4, 4, 3, 4, 4, 1, 3, 4, 1, 3, 4, 1, 0, 4, 4, 2, 4, 0, 1, 1, 1, 1, 0, 1, 0, 3, 0, 2, 2, 2, 3, 4, 1, 1, 1, 1, 0, 0, 0, 3, 1, 3, 3, 3, 3, 0, 2, 4, 0, 4, 1, 2, 1, 4, 2, 2, 4, 3, 0, 1, 4, 2, 1, 2, 0, 4, 3, 2, 4, 3, 1, 4, 0, 0, 4, 2, 3, 4, 3, 3, 4, 2, 2, 0, 4, 0, 1, 0, 4, 2, 2, 1, 1, 0, 1, 4, 4, 4, 2, 0, 0, 1, 2, 3, 2, 1, 3, 0, 4, 1, 2, 1, 2, 3, 1, 4, 2, 2, 3, 1, 1, 0, 2, 4, 3, 2, 2, 1, 2, 3, 3, 4, 3, 4, 0, 4, 2, 3, 3, 4, 0, 4, 3, 0, 0, 1, 1, 2, 0, 3, 3, 2, 2, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 3, 1, 2, 3, 2, 2, 0, 1, 3, 4, 3, 2, 3, 0, 0, 0, 2, 3, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 0, 4, 2, 3, 4, 4, 1, 3, 3, 1, 0, 3, 4, 4, 3, 4, 2, 3, 1, 1, 1, 2, 3, 0, 4, 3, 0, 2, 4, 1, 2, 2, 3, 0, 3, 0, 0, 3, 2, 0, 4, 1, 2, 0, 2, 4, 0, 3, 2, 0, 2, 3, 2, 0, 3, 2, 2, 3, 0, 4, 4, 0, 2, 3, 0, 4, 3, 0, 4, 1, 0, 1, 1, 4, 3, 3, 0, 3, 4, 1, 2, 2, 3, 2, 4, 1, 2, 3, 1, 1, 1, 4, 0, 4, 2, 3, 3, 1, 2, 1, 0, 0, 2, 2, 4, 4, 2, 1, 0, 2, 0, 3, 2, 0, 4, 0, 0, 2, 3, 3, 4, 3, 0, 3, 4, 2, 3, 0, 4, 2, 2, 4, 0, 0, 2, 3, 3, 0, 4, 0, 2, 0, 2, 1, 2, 1, 1, 4, 2, 3, 1, 4, 4, 1, 0, 2, 2, 1, 3, 3, 0, 1, 1, 0, 2, 1, 3, 2, 4, 2, 3, 3, 2, 2, 1, 2, 4, 1, 3, 4, 1, 4, 0, 1, 3, 0, 4, 4, 0, 1, 4, 1, 1, 4, 2, 0, 0, 2, 1, 4, 1, 2, 4, 3, 0, 2, 3, 1, 3, 2, 2, 1, 4, 3, 2, 3, 3, 1, 0, 1, 4, 2, 4, 0, 0, 2, 3, 1, 0, 3, 1, 2, 1, 4, 4] pubkeycol896 = [2, 4, 3, 4, 1, 3, 0, 4, 0, 4, 3, 1, 1, 3, 2, 3, 2, 0, 1, 0, 3, 4, 4, 4, 3, 0, 4, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 3, 3, 3, 1, 0, 0, 2, 0, 3, 4, 4, 4, 1, 1, 0, 4, 1, 0, 3, 4, 2, 3, 1, 2, 1, 1, 3, 4, 2, 4, 3, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 3, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 3, 0, 2, 4, 2, 3, 4, 3, 1, 3, 4, 0, 1, 4, 2, 0, 1, 0, 0, 2, 0, 4, 3, 1, 3, 0, 1, 1, 4, 4, 0, 4, 3, 4, 2, 0, 0, 1, 3, 3, 2, 0, 3, 3, 0, 4, 2, 0, 3, 2, 1, 4, 4, 2, 1, 0, 4, 1, 3, 3, 4, 1, 3, 3, 4, 4, 0, 4, 3, 1, 1, 3, 0, 4, 3, 1, 4, 2, 4, 4, 1, 1, 3, 2, 4, 0, 2, 0, 0, 4, 2, 3, 0, 0, 3, 0, 0, 3, 3, 4, 3, 2, 1, 1, 4, 4, 3, 2, 3, 3, 2, 1, 2, 1, 2, 0, 3, 3, 3, 2, 2, 3, 3, 2, 4, 1, 4, 1, 2, 4, 3, 3, 0, 0, 0, 4, 2, 0, 1, 4, 3, 4, 2, 1, 1, 0, 4, 1, 3, 1, 1, 3, 4, 3, 1, 4, 4, 4, 0, 3, 4, 4, 4, 4, 0, 3, 2, 3, 0, 3, 3, 1, 0, 2, 1, 1, 3, 3, 2, 4, 2, 2, 1, 2, 4, 4, 0, 0, 4, 1, 4, 4, 4, 4, 1, 4, 2, 4, 3, 1, 4, 1, 2, 4, 3, 1, 3, 2, 2, 0, 2, 2, 2, 2, 2, 0, 3, 1, 1, 1, 2, 3, 4, 0, 0, 4, 2, 4, 1, 1, 1, 0, 3, 4, 3, 1, 4, 2, 1, 4, 1, 4, 1, 4, 2, 2, 1, 2, 3, 4, 0, 3, 2, 2, 2, 1, 3, 3, 4, 4, 2, 3, 0, 3, 4, 1, 3, 0, 4, 1, 3, 4, 0, 0, 2, 1, 2, 3, 0, 3, 2, 0, 0, 3, 1, 3, 0, 4, 2, 1, 4, 4, 3, 4, 1, 1, 1, 2, 3, 0, 1, 0, 2, 4, 4, 2, 3, 3, 4, 3, 3, 0, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 0, 4, 2, 3, 4, 0, 2, 2, 1, 4, 2, 2, 1, 4, 0, 3, 4, 3, 0, 0, 4, 2, 2, 2, 1, 3, 0, 0, 3, 2, 3, 0, 4, 3, 3, 1, 3, 2, 1, 1, 0, 1, 1, 4, 4, 0, 3, 2, 3, 3, 0, 0, 4, 0, 3, 3, 4, 1, 3, 2, 2, 3, 2, 2, 3] pubkeycol897 = [1, 1, 0, 1, 2, 0, 2, 0, 3, 1, 4, 2, 4, 3, 0, 2, 4, 3, 4, 0, 2, 0, 0, 1, 0, 4, 4, 4, 3, 1, 3, 4, 0, 4, 3, 1, 3, 4, 0, 2, 1, 4, 0, 1, 2, 1, 0, 0, 0, 4, 2, 4, 0, 2, 3, 3, 2, 3, 2, 0, 1, 1, 3, 0, 4, 0, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 4, 1, 4, 0, 4, 3, 4, 1, 1, 3, 4, 3, 1, 2, 1, 2, 4, 4, 3, 4, 0, 1, 2, 0, 4, 2, 0, 2, 2, 3, 3, 3, 0, 3, 0, 0, 0, 0, 4, 2, 4, 3, 2, 4, 0, 3, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 4, 2, 1, 4, 1, 3, 1, 0, 0, 4, 0, 3, 1, 1, 0, 1, 1, 0, 2, 3, 0, 3, 3, 1, 1, 4, 4, 3, 1, 3, 4, 2, 3, 0, 3, 3, 2, 3, 0, 4, 4, 3, 0, 1, 2, 0, 2, 4, 4, 4, 4, 4, 0, 4, 0, 2, 1, 2, 0, 3, 3, 0, 1, 2, 3, 3, 4, 1, 2, 4, 2, 2, 3, 3, 0, 2, 1, 0, 4, 4, 1, 4, 3, 2, 4, 3, 3, 0, 2, 3, 0, 2, 3, 2, 2, 1, 3, 3, 3, 3, 4, 3, 2, 0, 3, 1, 1, 2, 3, 1, 2, 0, 3, 3, 2, 4, 4, 3, 2, 2, 1, 3, 2, 1, 0, 1, 0, 2, 1, 3, 3, 1, 1, 4, 2, 1, 1, 0, 2, 2, 3, 3, 0, 4, 0, 0, 3, 4, 4, 3, 2, 0, 1, 2, 0, 3, 0, 1, 1, 2, 2, 0, 3, 0, 0, 3, 4, 1, 1, 0, 1, 2, 2, 4, 3, 2, 0, 1, 0, 3, 0, 0, 1, 0, 0, 0, 0, 3, 2, 1, 1, 0, 4, 2, 4, 2, 0, 4, 4, 2, 2, 1, 3, 0, 3, 3, 0, 0, 1, 2, 2, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 2, 0, 1, 4, 4, 1, 0, 3, 0, 0, 1, 0, 0, 4, 2, 3, 1, 3, 2, 4, 0, 3, 4, 0, 2, 3, 4, 0, 1, 3, 0, 1, 1, 1, 4, 4, 2, 2, 1, 1, 2, 1, 0, 4, 0, 1, 0, 0, 4, 4, 2, 0, 4, 3, 3, 1, 0, 1, 0, 4, 0, 4, 3, 3, 2, 3, 0, 2, 1, 0, 3, 0, 2, 2, 1, 4, 1, 1, 0, 2, 1, 4, 2, 0, 2, 4, 2, 3, 3, 3, 2, 3, 0, 4, 4, 4, 1, 4, 1, 4, 1, 4, 1, 3, 4, 4, 2, 2, 0, 0, 0, 4, 1, 0, 3] pubkeycol898 = [2, 4, 4, 4, 2, 2, 4, 0, 1, 3, 0, 4, 3, 2, 0, 4, 4, 3, 1, 0, 0, 4, 3, 1, 1, 2, 1, 4, 0, 4, 3, 4, 1, 3, 3, 3, 1, 3, 0, 1, 1, 1, 3, 3, 2, 2, 2, 1, 0, 4, 0, 4, 4, 0, 2, 1, 0, 1, 2, 2, 4, 0, 1, 2, 3, 1, 3, 1, 2, 3, 0, 0, 0, 0, 2, 2, 3, 2, 3, 3, 3, 4, 4, 4, 3, 4, 0, 3, 1, 2, 1, 2, 2, 2, 3, 0, 1, 2, 2, 3, 1, 0, 3, 2, 1, 2, 2, 1, 0, 2, 4, 1, 4, 3, 2, 3, 3, 3, 3, 3, 2, 4, 4, 1, 0, 2, 2, 2, 2, 1, 1, 0, 4, 2, 2, 1, 0, 0, 1, 2, 3, 2, 3, 4, 2, 0, 4, 1, 1, 3, 4, 3, 0, 4, 4, 3, 2, 4, 1, 2, 4, 1, 3, 4, 4, 3, 4, 3, 1, 1, 3, 4, 2, 2, 3, 3, 4, 2, 2, 0, 4, 3, 2, 2, 3, 4, 1, 0, 4, 1, 0, 2, 0, 4, 2, 2, 2, 0, 0, 0, 2, 4, 0, 3, 3, 1, 2, 2, 0, 3, 1, 4, 3, 1, 2, 1, 2, 4, 3, 3, 0, 1, 2, 3, 3, 3, 4, 1, 2, 3, 1, 0, 3, 2, 0, 3, 0, 0, 1, 2, 3, 2, 0, 1, 1, 1, 2, 4, 1, 2, 0, 2, 4, 1, 0, 1, 1, 2, 2, 3, 3, 4, 0, 3, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 4, 4, 3, 1, 2, 0, 2, 0, 0, 1, 4, 2, 2, 1, 0, 3, 4, 2, 2, 0, 4, 2, 3, 1, 2, 2, 2, 3, 2, 2, 0, 1, 4, 4, 1, 4, 2, 4, 1, 0, 0, 3, 4, 4, 4, 1, 3, 2, 3, 3, 2, 2, 4, 0, 3, 4, 1, 1, 1, 2, 0, 2, 4, 0, 1, 3, 2, 3, 1, 3, 1, 1, 3, 4, 3, 0, 4, 4, 3, 2, 4, 4, 3, 3, 3, 0, 0, 2, 0, 3, 4, 4, 0, 1, 0, 2, 3, 2, 4, 0, 3, 4, 3, 2, 1, 0, 2, 0, 1, 0, 1, 3, 0, 3, 2, 2, 4, 4, 1, 2, 2, 4, 1, 3, 2, 4, 4, 2, 3, 3, 3, 2, 1, 4, 4, 3, 4, 1, 0, 4, 3, 4, 0, 1, 3, 3, 1, 2, 0, 0, 0, 3, 3, 2, 0, 2, 4, 2, 3, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 1, 4, 0, 3, 2, 4, 4, 2, 3, 3, 1, 0, 0, 4, 0, 4, 3, 4, 2, 3, 3, 1, 1, 4, 2, 0, 4, 2, 4, 4, 3, 1, 3, 3, 3, 4] pubkeycol899 = [4, 2, 4, 0, 1, 0, 1, 0, 0, 1, 2, 0, 4, 2, 2, 1, 1, 0, 4, 0, 2, 1, 3, 3, 0, 1, 2, 0, 3, 3, 2, 2, 4, 3, 3, 2, 1, 4, 0, 0, 0, 2, 0, 1, 1, 2, 1, 3, 0, 4, 0, 0, 3, 0, 1, 4, 2, 2, 2, 3, 4, 0, 3, 2, 4, 4, 1, 1, 2, 0, 1, 0, 3, 4, 3, 2, 2, 2, 0, 0, 2, 2, 0, 4, 2, 2, 4, 2, 3, 4, 1, 2, 2, 4, 4, 3, 4, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 4, 3, 2, 0, 3, 2, 2, 0, 1, 0, 4, 0, 3, 2, 3, 2, 0, 3, 2, 3, 4, 3, 0, 2, 1, 1, 0, 0, 2, 4, 1, 1, 3, 0, 3, 0, 4, 0, 0, 1, 3, 2, 2, 3, 3, 4, 1, 3, 0, 2, 4, 2, 0, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 2, 4, 2, 1, 2, 4, 0, 1, 3, 1, 3, 1, 4, 1, 4, 0, 3, 4, 2, 0, 3, 1, 1, 4, 1, 4, 4, 0, 1, 1, 3, 4, 3, 2, 3, 0, 3, 3, 2, 1, 0, 2, 2, 0, 0, 4, 2, 2, 0, 4, 2, 4, 3, 0, 4, 3, 3, 0, 0, 0, 1, 2, 2, 1, 1, 0, 3, 3, 1, 4, 0, 4, 3, 3, 1, 0, 1, 3, 0, 2, 4, 0, 1, 3, 3, 4, 2, 3, 3, 4, 2, 0, 1, 2, 1, 1, 0, 2, 3, 3, 2, 4, 2, 3, 4, 4, 4, 3, 0, 0, 3, 3, 0, 4, 2, 0, 3, 2, 2, 3, 4, 2, 3, 4, 0, 2, 1, 3, 1, 3, 2, 0, 4, 1, 2, 2, 0, 2, 4, 1, 3, 1, 4, 0, 2, 0, 3, 4, 1, 4, 4, 4, 4, 3, 4, 1, 2, 4, 2, 2, 1, 4, 2, 4, 3, 1, 2, 2, 3, 3, 2, 1, 4, 4, 4, 0, 1, 1, 3, 3, 2, 2, 1, 2, 4, 4, 1, 0, 1, 1, 0, 1, 2, 3, 2, 3, 1, 2, 3, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 3, 2, 2, 4, 3, 1, 4, 4, 3, 0, 2, 1, 1, 2, 2, 2, 4, 3, 0, 4, 0, 4, 3, 0, 2, 4, 0, 0, 0, 0, 2, 0, 2, 4, 1, 2, 2, 1, 1, 1, 4, 3, 3, 2, 3, 3, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 3, 1, 3, 2, 2, 4, 4, 2, 4, 2, 2, 4, 1, 1, 1, 0, 0, 2, 1, 0, 4, 1, 2, 4, 3, 0, 0, 2, 1, 4, 3, 0, 2, 0, 4, 1, 0, 3, 3, 4, 3, 0, 4] pubkeycol900 = [3, 3, 2, 2, 1, 0, 4, 1, 1, 4, 3, 1, 2, 2, 3, 1, 4, 4, 4, 3, 3, 4, 2, 1, 3, 3, 2, 2, 2, 2, 0, 4, 2, 3, 1, 4, 3, 3, 2, 0, 0, 0, 4, 0, 4, 4, 1, 3, 2, 1, 3, 2, 1, 3, 2, 0, 0, 1, 4, 1, 0, 4, 0, 2, 0, 1, 1, 4, 3, 1, 2, 4, 3, 4, 0, 0, 1, 2, 2, 2, 2, 2, 4, 0, 2, 4, 0, 3, 0, 4, 4, 2, 2, 2, 2, 4, 2, 4, 1, 0, 4, 2, 3, 3, 1, 1, 2, 0, 0, 4, 4, 2, 1, 1, 2, 3, 1, 0, 3, 0, 0, 3, 2, 4, 0, 2, 1, 2, 0, 2, 1, 3, 3, 0, 0, 1, 0, 0, 0, 1, 4, 4, 3, 2, 1, 1, 3, 2, 0, 2, 3, 1, 3, 1, 3, 0, 3, 3, 4, 1, 3, 2, 1, 4, 0, 4, 1, 4, 0, 2, 3, 3, 2, 4, 4, 0, 4, 4, 4, 2, 2, 4, 3, 1, 1, 4, 3, 4, 3, 0, 2, 0, 0, 3, 3, 4, 1, 3, 3, 4, 4, 0, 1, 1, 2, 1, 3, 1, 3, 3, 2, 3, 1, 3, 2, 4, 1, 0, 3, 4, 4, 4, 1, 1, 2, 0, 3, 4, 2, 4, 4, 4, 3, 4, 2, 4, 1, 0, 2, 2, 4, 0, 4, 4, 4, 0, 4, 2, 1, 3, 1, 0, 0, 0, 3, 4, 0, 4, 1, 0, 2, 0, 0, 2, 3, 2, 1, 2, 3, 3, 4, 2, 2, 0, 0, 2, 1, 3, 4, 2, 3, 1, 3, 3, 3, 0, 0, 4, 2, 1, 1, 0, 4, 4, 1, 3, 1, 1, 2, 4, 2, 0, 3, 1, 0, 1, 3, 1, 0, 4, 2, 1, 3, 3, 3, 2, 1, 0, 1, 1, 4, 3, 0, 1, 0, 3, 3, 4, 4, 3, 2, 1, 1, 4, 0, 0, 1, 3, 1, 2, 1, 2, 3, 2, 2, 2, 1, 2, 2, 4, 3, 4, 4, 1, 1, 0, 1, 3, 1, 4, 3, 0, 3, 0, 3, 2, 3, 4, 2, 3, 0, 3, 2, 4, 0, 2, 0, 1, 4, 4, 1, 1, 2, 2, 1, 1, 3, 0, 4, 0, 0, 2, 1, 4, 2, 2, 4, 2, 0, 2, 3, 0, 3, 2, 2, 0, 1, 3, 2, 4, 4, 1, 1, 4, 4, 3, 0, 0, 4, 1, 2, 4, 1, 1, 2, 0, 2, 3, 3, 2, 3, 3, 0, 3, 1, 1, 0, 1, 1, 1, 4, 2, 2, 4, 0, 2, 0, 4, 2, 4, 1, 1, 2, 1, 1, 4, 3, 0, 4, 3, 1, 3, 4, 2, 0, 4, 3, 0, 1, 3, 2, 3, 1, 1, 0, 4, 0, 0, 0, 2] pubkeycol901 = [1, 2, 4, 3, 1, 4, 2, 1, 3, 0, 3, 3, 1, 3, 0, 3, 3, 3, 3, 3, 2, 1, 3, 2, 3, 0, 2, 4, 4, 0, 0, 4, 1, 0, 0, 2, 2, 2, 3, 3, 4, 3, 4, 3, 3, 1, 2, 1, 1, 4, 0, 4, 0, 0, 1, 0, 0, 4, 4, 1, 4, 3, 0, 2, 1, 1, 4, 3, 0, 0, 4, 3, 1, 0, 2, 2, 0, 0, 0, 0, 4, 4, 2, 1, 3, 4, 1, 2, 1, 1, 4, 1, 1, 0, 4, 4, 4, 2, 1, 2, 4, 1, 4, 2, 2, 0, 0, 0, 2, 2, 2, 4, 2, 1, 0, 3, 0, 4, 3, 3, 3, 0, 2, 1, 1, 0, 1, 4, 1, 0, 3, 1, 4, 1, 2, 4, 2, 2, 3, 4, 3, 4, 4, 1, 1, 2, 1, 1, 0, 1, 3, 1, 3, 2, 1, 2, 0, 4, 4, 3, 3, 3, 0, 2, 4, 0, 0, 2, 2, 1, 1, 1, 0, 4, 0, 4, 3, 1, 1, 1, 2, 1, 3, 1, 1, 1, 0, 3, 4, 1, 2, 0, 0, 2, 1, 0, 3, 0, 4, 1, 3, 4, 2, 0, 4, 3, 0, 4, 2, 1, 0, 0, 1, 3, 2, 2, 2, 1, 1, 4, 2, 3, 0, 1, 1, 1, 4, 2, 3, 2, 2, 4, 4, 0, 1, 4, 4, 3, 0, 4, 3, 2, 2, 3, 2, 2, 3, 3, 1, 0, 4, 3, 3, 1, 4, 0, 0, 2, 3, 3, 3, 3, 3, 0, 0, 2, 3, 3, 0, 3, 3, 1, 1, 2, 4, 0, 2, 2, 0, 3, 0, 4, 0, 3, 1, 4, 0, 2, 0, 4, 1, 1, 2, 0, 0, 0, 3, 4, 4, 0, 3, 0, 3, 1, 3, 0, 0, 1, 2, 4, 1, 3, 4, 2, 1, 0, 1, 2, 1, 0, 4, 4, 1, 3, 1, 2, 0, 0, 1, 2, 4, 1, 0, 0, 2, 2, 0, 2, 1, 1, 3, 2, 1, 2, 0, 2, 0, 1, 3, 4, 1, 1, 0, 3, 0, 0, 1, 3, 3, 1, 3, 0, 4, 4, 4, 4, 1, 1, 0, 0, 1, 3, 4, 3, 4, 4, 2, 4, 0, 2, 2, 0, 3, 3, 0, 1, 0, 0, 2, 0, 3, 4, 3, 4, 4, 3, 1, 2, 3, 2, 2, 0, 2, 1, 3, 1, 2, 3, 1, 3, 3, 1, 3, 3, 2, 4, 3, 4, 1, 3, 4, 2, 0, 3, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 4, 2, 1, 1, 2, 1, 0, 4, 3, 1, 4, 3, 4, 1, 2, 2, 1, 1, 2, 1, 4, 1, 3, 0, 3, 4, 4, 2, 3, 2, 2, 4, 2, 0, 1, 4, 2, 1, 0, 4, 2, 0, 1, 2, 2, 2] pubkeycol902 = [4, 1, 1, 2, 1, 3, 1, 1, 0, 1, 0, 4, 1, 1, 3, 4, 2, 4, 4, 3, 1, 1, 3, 0, 3, 3, 0, 4, 2, 3, 3, 4, 0, 1, 2, 0, 3, 2, 1, 3, 3, 2, 4, 3, 3, 0, 0, 1, 3, 2, 4, 2, 0, 2, 1, 3, 4, 3, 3, 1, 0, 2, 0, 1, 3, 3, 4, 3, 3, 2, 4, 1, 0, 2, 1, 2, 1, 0, 4, 2, 3, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 4, 0, 3, 4, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 4, 4, 2, 2, 4, 0, 3, 2, 3, 2, 4, 3, 4, 3, 1, 4, 3, 4, 4, 4, 2, 3, 4, 4, 3, 2, 0, 0, 3, 2, 2, 3, 2, 1, 4, 1, 4, 4, 1, 4, 0, 1, 0, 3, 1, 4, 3, 4, 0, 3, 1, 2, 1, 1, 0, 4, 4, 2, 4, 2, 3, 0, 4, 3, 2, 3, 2, 2, 4, 3, 0, 4, 2, 1, 4, 4, 4, 4, 3, 4, 1, 2, 4, 1, 2, 0, 1, 0, 2, 1, 4, 0, 0, 1, 1, 0, 0, 0, 3, 0, 2, 3, 0, 0, 0, 3, 1, 2, 2, 0, 4, 3, 1, 1, 0, 0, 4, 3, 2, 1, 0, 3, 1, 0, 0, 4, 1, 0, 0, 1, 0, 1, 3, 4, 3, 0, 0, 4, 3, 0, 0, 0, 4, 4, 3, 2, 2, 3, 0, 4, 0, 3, 4, 0, 3, 3, 2, 1, 2, 1, 3, 2, 2, 1, 0, 0, 2, 4, 4, 3, 3, 2, 0, 4, 3, 3, 2, 0, 3, 4, 2, 2, 1, 4, 0, 3, 4, 3, 1, 4, 4, 4, 0, 3, 1, 3, 0, 1, 0, 2, 0, 1, 0, 3, 1, 4, 3, 2, 1, 0, 2, 3, 1, 4, 0, 2, 2, 1, 3, 4, 3, 2, 0, 4, 1, 0, 2, 1, 4, 0, 2, 4, 3, 4, 3, 3, 2, 2, 0, 0, 2, 2, 4, 2, 4, 4, 0, 1, 2, 3, 3, 2, 2, 2, 2, 1, 0, 4, 2, 1, 3, 2, 3, 3, 1, 4, 2, 2, 2, 1, 2, 3, 0, 1, 2, 1, 0, 4, 2, 4, 4, 4, 2, 0, 4, 1, 1, 4, 2, 4, 1, 0, 1, 4, 4, 4, 4, 1, 2, 3, 2, 2, 1, 3, 1, 2, 0, 4, 0, 4, 3, 3, 3, 2, 4, 3, 1, 2, 4, 1, 1, 2, 4, 1, 1, 1, 4, 2, 1, 1, 0, 0, 0, 3, 4, 3, 3, 3, 3, 2, 0, 3, 3, 2, 4, 2, 0, 3, 0, 2, 2, 0, 2, 3, 3, 2, 2, 4, 1, 1, 3, 3, 3, 4, 3, 0, 0, 0, 3, 0, 4, 2, 1, 2] pubkeycol903 = [2, 3, 0, 1, 0, 0, 1, 1, 0, 2, 2, 3, 4, 3, 0, 3, 0, 1, 2, 1, 1, 0, 2, 3, 1, 1, 4, 2, 4, 1, 1, 4, 4, 0, 4, 1, 3, 3, 4, 3, 1, 0, 4, 1, 3, 4, 4, 4, 4, 1, 1, 0, 4, 4, 3, 3, 1, 4, 3, 1, 0, 1, 3, 0, 2, 1, 2, 0, 0, 4, 1, 1, 4, 3, 1, 2, 0, 2, 1, 3, 2, 2, 2, 0, 2, 1, 2, 0, 2, 3, 0, 0, 2, 0, 1, 4, 0, 3, 4, 1, 1, 3, 4, 0, 0, 3, 1, 2, 1, 3, 1, 3, 0, 4, 1, 3, 4, 2, 4, 1, 3, 0, 0, 2, 1, 3, 2, 1, 4, 4, 2, 3, 2, 3, 3, 2, 2, 4, 1, 0, 4, 4, 3, 0, 0, 1, 0, 4, 0, 4, 2, 2, 0, 0, 3, 4, 3, 1, 2, 0, 4, 0, 1, 3, 4, 4, 1, 4, 2, 1, 0, 3, 3, 2, 0, 4, 2, 1, 3, 2, 1, 2, 0, 3, 4, 3, 2, 1, 0, 4, 4, 3, 1, 4, 2, 4, 2, 2, 4, 4, 1, 4, 2, 2, 2, 0, 0, 1, 4, 2, 0, 0, 0, 2, 1, 1, 0, 4, 2, 4, 0, 4, 1, 3, 3, 2, 2, 2, 4, 3, 4, 4, 0, 4, 3, 0, 1, 0, 1, 2, 3, 1, 1, 2, 4, 0, 1, 3, 2, 4, 4, 3, 1, 3, 4, 1, 1, 1, 3, 3, 3, 3, 4, 0, 0, 4, 3, 2, 0, 2, 4, 3, 2, 3, 2, 4, 4, 1, 0, 4, 1, 3, 4, 3, 0, 0, 4, 1, 4, 2, 4, 1, 4, 0, 4, 0, 2, 0, 2, 2, 1, 3, 3, 4, 2, 1, 0, 2, 3, 0, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 0, 2, 0, 3, 0, 0, 4, 1, 0, 2, 4, 1, 2, 4, 2, 3, 4, 0, 2, 2, 1, 1, 1, 1, 4, 1, 0, 2, 3, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 4, 0, 2, 0, 1, 3, 1, 3, 0, 3, 4, 2, 3, 3, 4, 3, 0, 1, 2, 3, 0, 2, 3, 1, 4, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 3, 2, 1, 4, 2, 0, 1, 1, 1, 2, 1, 3, 1, 1, 3, 4, 0, 1, 0, 2, 1, 4, 1, 3, 0, 2, 3, 2, 2, 2, 0, 0, 2, 2, 4, 0, 2, 0, 1, 2, 4, 1, 2, 0, 3, 0, 4, 2, 4, 3, 1, 0, 3, 2, 4, 3, 1, 0, 0, 0, 4, 2, 2, 3, 2, 0, 0, 2, 0, 1, 4, 3, 2, 0, 2, 3, 3, 1, 2, 0] pubkeycol904 = [0, 0, 4, 1, 2, 0, 4, 0, 0, 3, 2, 3, 0, 2, 2, 0, 2, 2, 4, 3, 3, 4, 0, 1, 4, 0, 0, 1, 0, 1, 2, 0, 3, 3, 4, 4, 2, 0, 0, 2, 2, 3, 3, 0, 4, 3, 3, 2, 2, 1, 4, 1, 4, 1, 4, 3, 3, 3, 1, 1, 1, 4, 4, 3, 1, 0, 4, 0, 4, 1, 4, 2, 4, 1, 1, 1, 0, 0, 3, 3, 2, 0, 0, 4, 3, 4, 2, 3, 3, 0, 4, 3, 2, 0, 1, 3, 3, 0, 0, 2, 1, 0, 4, 3, 4, 0, 4, 4, 0, 3, 3, 1, 3, 4, 0, 1, 3, 1, 3, 3, 4, 0, 3, 4, 3, 3, 3, 4, 0, 2, 2, 2, 2, 3, 0, 3, 1, 2, 1, 3, 1, 3, 1, 2, 3, 3, 3, 1, 3, 4, 1, 4, 3, 4, 0, 3, 2, 2, 4, 1, 4, 2, 2, 3, 2, 1, 1, 3, 4, 4, 2, 4, 0, 3, 3, 0, 3, 2, 2, 3, 2, 3, 4, 0, 0, 1, 4, 2, 4, 1, 1, 1, 0, 2, 0, 1, 4, 1, 0, 2, 2, 1, 2, 1, 4, 1, 0, 2, 0, 1, 2, 2, 3, 2, 1, 0, 2, 3, 1, 2, 1, 0, 4, 2, 2, 1, 1, 3, 2, 3, 3, 4, 4, 1, 1, 4, 3, 1, 1, 2, 3, 4, 0, 3, 3, 2, 0, 3, 1, 4, 2, 1, 2, 0, 2, 1, 2, 3, 3, 2, 1, 4, 1, 4, 2, 2, 4, 1, 2, 2, 3, 4, 3, 1, 3, 3, 0, 3, 4, 3, 4, 3, 1, 3, 4, 2, 3, 0, 2, 3, 4, 3, 1, 2, 3, 4, 4, 3, 2, 0, 4, 2, 0, 0, 1, 3, 1, 3, 3, 1, 2, 1, 0, 4, 2, 2, 4, 4, 0, 0, 1, 2, 1, 0, 1, 3, 0, 0, 0, 2, 0, 1, 1, 2, 1, 3, 0, 4, 1, 1, 2, 3, 0, 2, 4, 1, 2, 2, 0, 2, 2, 3, 3, 4, 4, 2, 3, 3, 3, 3, 3, 4, 0, 4, 3, 3, 4, 1, 1, 2, 4, 4, 4, 4, 4, 3, 2, 2, 4, 2, 3, 0, 1, 2, 2, 0, 1, 4, 4, 3, 3, 2, 1, 0, 1, 3, 2, 2, 2, 3, 1, 2, 0, 0, 4, 1, 1, 4, 4, 1, 3, 0, 0, 3, 3, 0, 3, 3, 2, 3, 2, 2, 1, 4, 1, 1, 0, 4, 0, 3, 2, 1, 0, 0, 4, 1, 4, 2, 1, 4, 0, 0, 3, 4, 2, 0, 4, 4, 3, 1, 1, 1, 4, 0, 0, 3, 4, 2, 2, 3, 3, 0, 3, 2, 2, 2, 1, 0, 4, 3, 2, 3, 3, 1, 1, 0, 4, 0, 4, 2] pubkeycol905 = [0, 4, 2, 1, 4, 1, 4, 1, 0, 1, 2, 2, 1, 2, 4, 1, 3, 0, 0, 3, 1, 0, 3, 0, 4, 0, 0, 3, 4, 2, 4, 2, 0, 2, 0, 0, 3, 1, 1, 4, 1, 1, 3, 0, 3, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 3, 4, 2, 0, 3, 4, 3, 3, 0, 2, 4, 4, 2, 3, 4, 3, 4, 0, 3, 2, 0, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 2, 4, 2, 2, 1, 2, 4, 2, 2, 0, 1, 4, 2, 2, 1, 4, 4, 4, 1, 0, 2, 0, 2, 3, 0, 3, 4, 4, 3, 1, 2, 3, 1, 3, 2, 3, 2, 4, 2, 0, 2, 2, 3, 3, 2, 2, 1, 1, 4, 3, 4, 3, 0, 0, 4, 0, 0, 4, 4, 2, 1, 2, 2, 2, 0, 1, 4, 2, 1, 1, 4, 3, 2, 2, 0, 4, 0, 4, 3, 3, 2, 0, 3, 1, 1, 2, 4, 2, 2, 0, 2, 2, 3, 4, 4, 4, 0, 0, 1, 1, 3, 2, 4, 1, 0, 2, 1, 1, 0, 4, 1, 0, 1, 3, 0, 3, 2, 1, 2, 4, 3, 1, 2, 1, 4, 2, 4, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 1, 2, 2, 2, 4, 4, 2, 0, 2, 2, 0, 2, 2, 1, 4, 4, 0, 4, 0, 1, 0, 1, 2, 2, 3, 4, 2, 1, 1, 4, 3, 0, 3, 3, 0, 4, 0, 3, 3, 0, 2, 1, 4, 3, 0, 2, 0, 1, 1, 0, 1, 1, 1, 4, 1, 4, 2, 0, 0, 2, 0, 3, 3, 4, 0, 1, 1, 2, 2, 4, 1, 4, 4, 3, 4, 1, 1, 3, 1, 0, 0, 3, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4, 2, 4, 4, 2, 1, 4, 2, 4, 3, 0, 1, 2, 1, 1, 0, 4, 0, 0, 3, 4, 2, 0, 2, 0, 2, 1, 0, 4, 4, 0, 4, 0, 0, 0, 1, 3, 4, 0, 3, 0, 0, 0, 2, 4, 0, 3, 4, 1, 4, 4, 2, 1, 4, 0, 0, 4, 0, 4, 3, 2, 2, 0, 2, 3, 1, 0, 3, 2, 3, 2, 4, 4, 0, 3, 1, 4, 0, 3, 0, 4, 0, 1, 0, 4, 2, 0, 3, 1, 4, 4, 4, 4, 0, 0, 1, 4, 0, 1, 2, 1, 3, 4, 3, 4, 1, 3, 4, 3, 2, 2, 2, 1, 4, 0, 3, 0, 1, 0, 3, 4, 0, 4, 4, 4, 4, 1, 3, 2, 0, 3, 4, 4, 0, 2, 2, 0, 4, 2, 2, 4, 2, 1, 0, 2, 0, 0, 0, 0, 1, 3, 4, 3, 3, 3, 3] pubkeycol906 = [3, 0, 0, 0, 3, 2, 3, 0, 2, 2, 1, 0, 1, 3, 4, 2, 2, 4, 3, 0, 2, 2, 0, 3, 2, 1, 0, 1, 1, 1, 1, 0, 4, 4, 1, 1, 2, 2, 4, 1, 3, 0, 2, 3, 4, 1, 1, 4, 4, 2, 4, 3, 4, 4, 4, 1, 0, 1, 4, 2, 4, 2, 0, 4, 0, 2, 3, 1, 0, 2, 0, 1, 2, 4, 0, 1, 3, 4, 1, 1, 4, 4, 1, 1, 1, 0, 1, 2, 0, 3, 3, 1, 1, 3, 2, 0, 2, 2, 4, 4, 2, 2, 1, 3, 3, 3, 4, 3, 4, 1, 1, 2, 4, 3, 2, 0, 3, 1, 0, 3, 3, 3, 3, 1, 1, 3, 2, 4, 0, 0, 4, 2, 2, 1, 3, 2, 2, 1, 3, 4, 3, 3, 2, 3, 0, 1, 1, 4, 3, 4, 3, 2, 1, 4, 3, 2, 1, 2, 1, 0, 0, 3, 3, 0, 0, 2, 1, 0, 1, 1, 4, 4, 3, 1, 4, 2, 0, 1, 0, 3, 3, 2, 0, 1, 0, 1, 0, 3, 2, 0, 3, 1, 4, 0, 4, 2, 2, 0, 1, 1, 1, 2, 3, 2, 1, 3, 0, 0, 4, 3, 0, 3, 0, 1, 3, 1, 1, 4, 3, 2, 4, 2, 1, 2, 1, 4, 2, 0, 3, 1, 2, 3, 1, 2, 0, 2, 0, 4, 3, 1, 2, 2, 3, 3, 1, 2, 3, 0, 2, 0, 0, 4, 4, 4, 4, 2, 2, 0, 3, 2, 3, 0, 1, 2, 0, 1, 0, 1, 3, 3, 2, 0, 2, 2, 1, 4, 0, 0, 2, 3, 4, 3, 4, 2, 4, 4, 1, 3, 0, 0, 3, 2, 4, 0, 2, 1, 1, 3, 4, 4, 3, 2, 0, 1, 1, 0, 0, 0, 4, 4, 1, 3, 2, 4, 4, 0, 4, 2, 3, 1, 0, 1, 3, 1, 4, 4, 4, 2, 2, 3, 3, 4, 4, 3, 1, 2, 3, 2, 1, 3, 4, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 4, 0, 1, 2, 1, 2, 3, 2, 1, 1, 1, 4, 1, 0, 4, 4, 0, 0, 0, 2, 2, 1, 3, 3, 4, 4, 0, 2, 4, 3, 4, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 0, 0, 3, 1, 0, 1, 4, 2, 2, 3, 1, 2, 0, 0, 0, 2, 3, 3, 2, 0, 4, 0, 3, 2, 0, 0, 1, 0, 4, 4, 0, 4, 3, 3, 2, 2, 1, 0, 4, 4, 0, 2, 4, 3, 0, 4, 2, 0, 3, 2, 4, 4, 2, 2, 2, 4, 0, 2, 3, 3, 0, 2, 1, 4, 2, 1, 1, 1, 1, 3, 3, 4, 0, 3, 0, 3, 2, 1, 2, 1, 4, 4, 2, 3, 0, 2, 0] pubkeycol907 = [4, 2, 4, 3, 0, 3, 4, 1, 2, 4, 4, 3, 3, 4, 2, 2, 0, 3, 2, 1, 2, 2, 1, 1, 2, 1, 2, 4, 4, 1, 0, 1, 4, 4, 3, 2, 0, 4, 0, 2, 1, 2, 2, 3, 0, 0, 1, 0, 0, 0, 0, 2, 4, 3, 2, 3, 0, 3, 4, 3, 0, 1, 3, 3, 4, 4, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 4, 2, 1, 1, 2, 4, 0, 3, 3, 0, 2, 4, 4, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 3, 3, 4, 4, 4, 3, 2, 4, 4, 2, 4, 4, 1, 4, 3, 4, 0, 1, 4, 0, 4, 1, 3, 1, 3, 3, 3, 1, 2, 0, 0, 0, 4, 0, 3, 2, 0, 4, 1, 3, 2, 1, 4, 2, 3, 4, 4, 2, 2, 1, 3, 1, 4, 4, 4, 1, 2, 2, 0, 4, 1, 2, 4, 1, 1, 4, 3, 3, 1, 0, 2, 4, 3, 2, 3, 1, 0, 1, 0, 4, 1, 1, 1, 2, 3, 2, 1, 0, 2, 0, 3, 1, 1, 3, 0, 1, 3, 3, 4, 1, 3, 0, 4, 2, 1, 2, 2, 4, 1, 0, 3, 3, 4, 3, 2, 4, 0, 4, 1, 2, 0, 4, 3, 1, 0, 3, 3, 2, 0, 2, 4, 3, 4, 2, 3, 2, 0, 3, 2, 3, 1, 4, 3, 4, 0, 1, 1, 3, 0, 4, 1, 0, 3, 2, 2, 3, 3, 3, 4, 2, 3, 0, 3, 4, 0, 3, 4, 0, 4, 2, 3, 3, 2, 4, 2, 1, 1, 3, 2, 0, 4, 2, 1, 3, 4, 1, 2, 3, 4, 0, 1, 0, 3, 3, 0, 3, 1, 3, 3, 3, 1, 2, 2, 2, 0, 1, 4, 2, 3, 4, 3, 4, 0, 0, 4, 2, 2, 3, 0, 3, 3, 0, 0, 4, 1, 2, 1, 0, 2, 1, 0, 0, 4, 2, 2, 1, 3, 1, 0, 3, 2, 1, 2, 1, 4, 4, 1, 3, 4, 3, 4, 1, 4, 2, 3, 0, 2, 4, 0, 3, 3, 4, 0, 1, 4, 3, 0, 0, 2, 1, 4, 4, 4, 2, 3, 0, 3, 2, 4, 2, 1, 3, 1, 1, 2, 3, 2, 4, 0, 3, 3, 1, 3, 3, 0, 4, 2, 0, 1, 2, 4, 3, 0, 0, 1, 0, 1, 3, 0, 3, 3, 1, 4, 4, 0, 3, 4, 2, 4, 4, 3, 3, 0, 3, 4, 4, 2, 3, 3, 3, 2, 4, 0, 4, 4, 1, 0, 3, 0, 1, 1, 3, 3, 0, 3, 3, 2, 3, 2, 1, 4, 2, 1, 2, 0, 4, 4, 4, 3, 0, 0, 4, 3, 4, 4, 1, 1, 3, 4, 0, 0, 1, 3, 1, 4, 2, 4, 3, 1, 4, 1] pubkeycol908 = [0, 3, 4, 3, 0, 4, 0, 4, 3, 3, 1, 2, 2, 3, 3, 3, 4, 2, 4, 2, 3, 0, 1, 1, 4, 1, 3, 4, 1, 4, 0, 1, 3, 3, 1, 2, 2, 0, 4, 1, 0, 0, 4, 3, 2, 4, 4, 1, 4, 4, 2, 2, 1, 2, 0, 2, 2, 0, 4, 3, 0, 3, 3, 0, 1, 3, 3, 0, 4, 1, 0, 1, 1, 0, 2, 0, 1, 4, 3, 4, 2, 3, 2, 3, 4, 4, 2, 3, 0, 1, 0, 4, 0, 4, 4, 2, 0, 0, 0, 0, 2, 4, 1, 2, 4, 3, 4, 2, 4, 0, 1, 1, 2, 4, 4, 2, 3, 2, 3, 1, 2, 0, 3, 0, 2, 1, 3, 3, 4, 2, 0, 2, 0, 2, 1, 4, 4, 2, 0, 3, 2, 0, 3, 4, 3, 0, 0, 2, 3, 1, 2, 4, 0, 0, 2, 0, 3, 3, 2, 4, 0, 2, 4, 0, 1, 0, 2, 0, 1, 4, 2, 2, 4, 2, 2, 4, 2, 0, 4, 1, 1, 4, 4, 3, 4, 1, 3, 1, 2, 2, 1, 3, 4, 2, 2, 1, 3, 2, 4, 4, 0, 2, 2, 3, 3, 2, 3, 1, 0, 1, 3, 3, 3, 2, 3, 1, 2, 3, 2, 3, 1, 3, 3, 3, 0, 2, 3, 1, 0, 3, 3, 0, 0, 4, 1, 2, 4, 2, 4, 3, 4, 4, 4, 3, 3, 4, 0, 2, 0, 4, 1, 1, 2, 0, 2, 0, 4, 3, 2, 1, 0, 4, 0, 1, 2, 1, 0, 3, 4, 1, 3, 2, 4, 2, 0, 3, 1, 3, 4, 4, 4, 2, 2, 1, 3, 1, 3, 3, 3, 0, 3, 0, 0, 1, 3, 4, 4, 0, 0, 3, 2, 2, 0, 1, 2, 2, 3, 3, 4, 2, 4, 0, 1, 3, 2, 2, 1, 3, 3, 0, 3, 1, 1, 0, 0, 3, 4, 4, 4, 2, 0, 4, 0, 4, 3, 2, 2, 0, 4, 0, 0, 4, 4, 2, 2, 3, 1, 4, 3, 4, 1, 2, 2, 0, 0, 1, 2, 0, 3, 2, 0, 3, 4, 1, 3, 4, 0, 3, 3, 2, 2, 2, 0, 3, 2, 0, 2, 4, 3, 0, 4, 2, 3, 0, 4, 2, 1, 0, 3, 1, 3, 0, 2, 0, 2, 3, 4, 1, 2, 2, 2, 2, 1, 1, 0, 3, 0, 0, 3, 0, 0, 4, 3, 1, 0, 1, 4, 3, 0, 4, 2, 2, 3, 3, 3, 2, 3, 1, 2, 3, 0, 0, 3, 2, 2, 4, 3, 1, 4, 0, 0, 4, 3, 4, 0, 0, 1, 4, 2, 1, 0, 4, 1, 4, 1, 0, 0, 2, 1, 4, 0, 0, 0, 2, 2, 3, 0, 4, 4, 3, 0, 0, 0, 2, 1, 1, 1, 4, 1, 3] pubkeycol909 = [1, 4, 4, 2, 0, 4, 4, 0, 2, 0, 2, 4, 2, 1, 0, 3, 3, 4, 1, 0, 2, 3, 4, 2, 3, 4, 0, 4, 4, 2, 4, 3, 3, 3, 2, 1, 4, 4, 3, 4, 2, 4, 4, 4, 2, 0, 1, 4, 3, 3, 1, 2, 3, 0, 3, 1, 2, 3, 3, 1, 1, 4, 4, 3, 4, 0, 1, 4, 4, 3, 0, 3, 0, 0, 3, 3, 2, 2, 1, 1, 2, 2, 3, 3, 3, 4, 2, 4, 4, 2, 1, 1, 3, 1, 1, 3, 4, 4, 4, 1, 3, 4, 4, 1, 2, 3, 2, 0, 2, 4, 2, 1, 4, 3, 2, 3, 3, 0, 3, 4, 4, 4, 4, 3, 3, 0, 1, 3, 4, 1, 1, 2, 4, 0, 2, 1, 4, 2, 0, 0, 3, 2, 4, 3, 3, 2, 4, 2, 1, 1, 3, 0, 1, 3, 2, 4, 2, 4, 2, 1, 4, 3, 1, 0, 2, 4, 2, 1, 0, 3, 1, 3, 3, 4, 2, 3, 0, 1, 0, 4, 0, 1, 0, 2, 0, 2, 3, 3, 3, 2, 1, 3, 1, 1, 2, 1, 1, 0, 3, 2, 3, 3, 4, 3, 3, 2, 0, 1, 1, 2, 4, 1, 2, 0, 2, 1, 3, 2, 0, 4, 1, 0, 3, 0, 3, 0, 3, 2, 3, 0, 4, 2, 4, 0, 2, 1, 2, 3, 1, 4, 0, 0, 1, 2, 4, 4, 4, 3, 0, 2, 0, 2, 3, 0, 3, 4, 2, 0, 4, 2, 0, 0, 1, 1, 1, 3, 1, 1, 4, 2, 3, 2, 4, 3, 2, 1, 3, 0, 0, 1, 4, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 4, 0, 2, 2, 0, 2, 4, 1, 4, 0, 1, 3, 0, 4, 2, 0, 2, 3, 3, 3, 1, 3, 2, 4, 1, 2, 4, 3, 2, 1, 1, 2, 3, 2, 1, 3, 1, 4, 3, 3, 1, 2, 4, 3, 3, 0, 3, 0, 3, 4, 1, 4, 3, 3, 1, 0, 1, 1, 0, 4, 2, 2, 3, 0, 2, 3, 0, 2, 3, 4, 1, 0, 0, 3, 2, 0, 0, 1, 2, 4, 4, 4, 1, 4, 1, 4, 2, 2, 2, 1, 3, 4, 3, 2, 0, 2, 3, 4, 4, 3, 3, 4, 0, 0, 3, 3, 1, 1, 2, 4, 1, 2, 4, 2, 1, 2, 4, 2, 0, 4, 3, 0, 2, 2, 4, 2, 0, 3, 4, 2, 4, 0, 1, 1, 1, 1, 1, 3, 0, 3, 4, 4, 3, 4, 2, 1, 1, 1, 0, 0, 1, 3, 0, 4, 4, 1, 0, 3, 4, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 4, 4, 4, 1, 2, 4, 0, 4, 0, 1, 2, 4, 3, 2, 2, 3, 0, 1, 3] pubkeycol910 = [1, 0, 3, 1, 0, 3, 1, 0, 1, 3, 2, 0, 1, 2, 3, 4, 1, 4, 0, 3, 3, 1, 0, 1, 4, 1, 0, 0, 0, 0, 4, 1, 2, 2, 3, 1, 3, 1, 3, 1, 2, 2, 2, 0, 4, 2, 2, 2, 4, 2, 2, 2, 4, 0, 4, 1, 4, 4, 1, 0, 0, 3, 4, 4, 4, 0, 4, 1, 3, 0, 0, 4, 2, 4, 3, 3, 2, 1, 2, 0, 4, 3, 3, 4, 0, 2, 1, 2, 3, 0, 2, 3, 3, 2, 2, 1, 3, 2, 0, 3, 4, 2, 3, 1, 0, 4, 1, 1, 0, 1, 2, 1, 4, 1, 0, 4, 2, 3, 2, 3, 4, 3, 2, 1, 0, 4, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 3, 1, 0, 0, 2, 2, 2, 2, 4, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 3, 0, 4, 3, 3, 1, 3, 0, 1, 0, 0, 1, 2, 1, 3, 1, 1, 3, 1, 2, 2, 0, 3, 2, 0, 2, 3, 4, 1, 0, 3, 2, 2, 4, 2, 2, 1, 4, 0, 3, 2, 1, 0, 3, 3, 4, 4, 4, 1, 0, 4, 2, 4, 4, 0, 2, 1, 2, 4, 1, 3, 1, 3, 1, 3, 4, 1, 0, 3, 2, 3, 3, 0, 0, 0, 0, 4, 1, 4, 1, 1, 2, 3, 4, 2, 0, 0, 3, 1, 4, 3, 3, 0, 3, 4, 2, 1, 4, 0, 2, 3, 0, 1, 3, 2, 0, 2, 4, 4, 3, 2, 3, 2, 0, 2, 3, 1, 1, 0, 0, 3, 2, 4, 2, 0, 1, 3, 2, 4, 3, 3, 0, 1, 1, 3, 3, 1, 3, 2, 1, 4, 4, 3, 1, 1, 2, 2, 1, 3, 2, 4, 2, 0, 0, 0, 4, 2, 2, 1, 3, 2, 3, 1, 0, 4, 2, 4, 3, 0, 0, 0, 0, 0, 2, 2, 4, 3, 3, 0, 3, 3, 0, 4, 0, 4, 1, 3, 2, 1, 0, 0, 2, 4, 4, 3, 2, 2, 0, 2, 3, 0, 3, 1, 4, 3, 2, 2, 2, 4, 2, 1, 2, 3, 3, 4, 3, 2, 2, 1, 4, 1, 4, 3, 2, 1, 0, 1, 0, 1, 4, 1, 2, 0, 0, 4, 0, 0, 4, 1, 3, 1, 0, 3, 0, 1, 1, 2, 0, 3, 0, 1, 4, 2, 2, 0, 1, 1, 3, 0, 0, 2, 0, 3, 3, 4, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 4, 2, 1, 4, 4, 0, 1, 1, 0, 2, 4, 1, 0, 4, 4, 3, 2, 0, 1, 3, 4, 1, 3, 2, 0, 0, 1, 3, 2, 2, 4, 1, 4, 2, 0, 2, 2, 0, 0, 3, 2, 2, 1, 0, 4, 4, 3, 4, 2] pubkeycol911 = [0, 0, 3, 4, 4, 4, 4, 0, 4, 3, 3, 0, 4, 4, 3, 4, 4, 1, 1, 1, 4, 1, 4, 4, 4, 4, 2, 2, 3, 2, 0, 1, 3, 3, 2, 4, 0, 1, 2, 0, 4, 3, 3, 1, 1, 4, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 3, 3, 4, 3, 1, 3, 4, 1, 4, 1, 0, 1, 2, 3, 1, 0, 0, 4, 3, 3, 0, 3, 0, 0, 4, 4, 3, 0, 3, 4, 3, 1, 4, 3, 4, 1, 4, 4, 2, 1, 0, 0, 3, 4, 3, 0, 1, 4, 1, 3, 3, 1, 2, 1, 1, 0, 4, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 3, 3, 0, 3, 2, 0, 1, 4, 1, 3, 2, 2, 3, 4, 3, 4, 2, 0, 1, 4, 1, 4, 3, 4, 3, 2, 2, 4, 2, 1, 4, 1, 2, 1, 4, 4, 2, 2, 4, 4, 0, 3, 2, 2, 3, 2, 0, 3, 2, 4, 1, 1, 3, 4, 3, 2, 1, 1, 3, 2, 3, 1, 0, 2, 2, 3, 2, 2, 0, 4, 0, 0, 4, 3, 0, 4, 2, 1, 0, 0, 0, 4, 4, 4, 4, 2, 0, 1, 2, 0, 2, 1, 1, 3, 4, 0, 3, 4, 3, 2, 1, 2, 1, 3, 3, 1, 3, 2, 2, 4, 3, 0, 0, 1, 2, 3, 2, 2, 0, 2, 0, 2, 4, 2, 0, 4, 0, 3, 1, 0, 3, 4, 2, 1, 1, 3, 4, 2, 3, 3, 4, 4, 0, 1, 3, 2, 2, 0, 4, 1, 0, 2, 4, 3, 4, 2, 3, 0, 3, 3, 2, 4, 3, 4, 1, 2, 3, 4, 0, 3, 0, 2, 3, 2, 4, 4, 4, 0, 0, 3, 2, 2, 3, 3, 1, 3, 3, 3, 0, 2, 2, 0, 1, 2, 2, 2, 3, 0, 4, 0, 3, 1, 1, 4, 0, 3, 1, 0, 3, 0, 2, 4, 0, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 4, 2, 4, 1, 0, 3, 2, 0, 3, 2, 2, 0, 2, 0, 0, 4, 0, 4, 1, 0, 3, 2, 3, 2, 4, 3, 0, 0, 4, 0, 2, 0, 0, 0, 4, 3, 3, 1, 4, 3, 1, 2, 1, 3, 0, 4, 1, 4, 0, 2, 4, 0, 2, 3, 1, 1, 1, 2, 3, 2, 4, 3, 4, 3, 4, 4, 1, 4, 1, 1, 4, 0, 3, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 4, 4, 2, 3, 4, 2, 3, 3, 0, 3, 1, 0, 0, 4, 1, 2, 2, 0, 2, 4, 0, 0, 3, 4, 0, 0, 0, 3, 4, 3, 3, 4, 4, 3, 1, 2, 0, 2, 1, 1, 4, 4, 1] pubkeycol912 = [3, 4, 4, 2, 4, 4, 2, 4, 0, 4, 3, 2, 4, 3, 4, 1, 4, 0, 4, 3, 0, 2, 1, 0, 4, 3, 2, 0, 0, 2, 1, 0, 3, 0, 2, 1, 0, 1, 0, 3, 1, 3, 1, 4, 0, 3, 2, 1, 0, 3, 4, 0, 3, 2, 1, 2, 0, 4, 0, 1, 4, 1, 3, 3, 3, 0, 3, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 4, 2, 4, 4, 2, 0, 4, 3, 3, 4, 3, 0, 4, 4, 2, 0, 1, 2, 1, 3, 4, 2, 2, 0, 3, 0, 0, 2, 1, 1, 0, 1, 0, 3, 2, 1, 2, 2, 2, 2, 0, 0, 3, 4, 3, 2, 4, 0, 1, 1, 2, 0, 1, 2, 3, 2, 4, 4, 4, 1, 4, 3, 2, 3, 4, 4, 3, 2, 2, 4, 1, 3, 0, 4, 2, 0, 4, 2, 4, 0, 1, 3, 3, 0, 1, 4, 4, 0, 1, 3, 2, 3, 4, 1, 3, 4, 4, 1, 1, 1, 0, 2, 1, 2, 1, 4, 4, 0, 1, 3, 4, 3, 1, 2, 2, 0, 4, 4, 2, 1, 2, 0, 0, 3, 2, 0, 2, 1, 3, 1, 4, 3, 0, 0, 4, 1, 2, 4, 2, 3, 2, 3, 2, 3, 4, 4, 4, 4, 1, 2, 2, 2, 4, 2, 3, 1, 3, 0, 1, 3, 4, 3, 4, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 0, 3, 0, 0, 2, 2, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 0, 2, 0, 0, 3, 3, 1, 1, 2, 0, 4, 4, 4, 1, 2, 1, 3, 0, 1, 4, 2, 1, 1, 0, 2, 2, 2, 3, 3, 4, 2, 2, 1, 1, 1, 3, 0, 2, 3, 1, 2, 3, 0, 0, 3, 0, 2, 0, 4, 4, 3, 0, 4, 3, 1, 1, 0, 4, 3, 2, 2, 4, 1, 2, 2, 3, 4, 4, 1, 2, 1, 1, 3, 4, 0, 2, 2, 0, 3, 4, 0, 1, 0, 0, 0, 4, 2, 3, 0, 0, 3, 1, 4, 1, 0, 2, 4, 4, 4, 4, 2, 2, 3, 3, 0, 2, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 0, 1, 0, 3, 2, 0, 3, 4, 2, 0, 0, 4, 2, 0, 4, 0, 2, 1, 1, 1, 1, 1, 2, 3, 1, 0, 4, 3, 3, 3, 3, 4, 4, 0, 3, 2, 3, 0, 4, 0, 4, 0, 2, 0, 3, 4, 4, 1, 0, 4, 0, 4, 3, 4, 4, 0, 0, 2, 1, 4, 0, 0, 2, 2, 1, 0, 2, 1, 4, 0, 0, 3, 3, 3, 3, 2, 0, 4, 4, 1, 1, 2, 0, 2, 4, 1, 4, 3, 0, 3, 3, 3, 0, 2] pubkeycol913 = [2, 2, 1, 0, 4, 1, 1, 0, 1, 0, 0, 4, 0, 1, 3, 4, 3, 2, 1, 2, 3, 4, 4, 0, 4, 3, 4, 4, 4, 4, 1, 0, 2, 2, 1, 3, 0, 1, 4, 1, 2, 1, 4, 3, 3, 0, 4, 1, 2, 0, 4, 3, 0, 2, 2, 0, 4, 0, 4, 0, 3, 4, 0, 2, 3, 3, 4, 1, 2, 0, 2, 1, 4, 1, 4, 1, 4, 3, 4, 4, 0, 1, 2, 1, 2, 3, 1, 0, 4, 2, 0, 0, 1, 3, 0, 3, 4, 0, 4, 2, 1, 3, 4, 2, 1, 3, 4, 3, 4, 4, 2, 1, 2, 0, 0, 3, 0, 0, 2, 4, 4, 3, 4, 2, 4, 3, 0, 1, 3, 1, 2, 0, 0, 4, 2, 2, 2, 3, 4, 1, 1, 0, 0, 3, 3, 3, 4, 4, 0, 1, 4, 4, 3, 3, 2, 1, 0, 3, 4, 3, 3, 4, 0, 3, 0, 3, 3, 4, 1, 2, 3, 0, 3, 1, 2, 1, 0, 3, 4, 3, 4, 3, 3, 1, 0, 3, 0, 0, 2, 1, 0, 0, 0, 1, 3, 1, 1, 3, 4, 2, 3, 3, 3, 1, 4, 0, 0, 2, 4, 1, 0, 2, 3, 1, 1, 4, 0, 4, 3, 2, 2, 4, 2, 0, 0, 2, 1, 1, 1, 4, 3, 0, 3, 2, 2, 0, 3, 2, 4, 3, 0, 2, 3, 0, 2, 1, 1, 4, 0, 0, 3, 3, 1, 1, 4, 2, 3, 0, 3, 2, 3, 4, 4, 1, 3, 0, 1, 4, 1, 1, 3, 0, 1, 4, 0, 2, 1, 0, 2, 3, 3, 3, 2, 2, 4, 3, 3, 2, 2, 2, 3, 2, 4, 2, 2, 1, 4, 1, 1, 0, 2, 2, 3, 3, 0, 1, 0, 1, 2, 4, 1, 2, 3, 3, 4, 1, 1, 4, 4, 3, 3, 3, 3, 0, 1, 0, 4, 3, 0, 3, 3, 3, 2, 1, 4, 3, 3, 1, 1, 2, 0, 3, 1, 3, 1, 1, 2, 4, 0, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 0, 1, 1, 3, 0, 1, 2, 2, 1, 4, 2, 4, 4, 0, 0, 4, 4, 1, 2, 3, 4, 1, 1, 1, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 4, 1, 3, 1, 0, 3, 3, 2, 0, 0, 4, 3, 1, 3, 0, 1, 2, 1, 0, 2, 1, 1, 4, 0, 1, 0, 1, 0, 0, 0, 4, 1, 4, 1, 3, 1, 0, 2, 3, 2, 1, 1, 0, 0, 2, 0, 3, 1, 0, 3, 1, 0, 3, 0, 1, 4, 2, 1, 1, 0, 2, 0, 3, 2, 0, 1, 4, 0, 4, 0, 4, 3, 3, 0, 3, 2, 0, 3, 3, 0, 3, 0, 1, 2, 2] pubkeycol914 = [0, 2, 0, 3, 0, 3, 4, 0, 0, 2, 3, 3, 4, 0, 0, 3, 1, 1, 4, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 4, 3, 2, 3, 1, 1, 3, 0, 3, 3, 1, 1, 3, 1, 4, 2, 4, 2, 2, 0, 4, 3, 3, 4, 3, 1, 0, 0, 4, 4, 0, 3, 1, 2, 3, 2, 4, 4, 3, 3, 3, 4, 4, 3, 2, 1, 1, 0, 2, 0, 3, 1, 0, 4, 0, 3, 0, 0, 0, 3, 4, 1, 1, 3, 3, 0, 0, 4, 4, 4, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 4, 2, 1, 0, 3, 1, 1, 2, 2, 2, 4, 3, 3, 3, 0, 0, 3, 3, 4, 4, 3, 1, 0, 3, 2, 0, 4, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 4, 2, 2, 1, 1, 0, 4, 0, 0, 2, 4, 4, 0, 4, 4, 3, 4, 1, 0, 4, 3, 0, 1, 2, 4, 3, 4, 1, 0, 4, 4, 3, 3, 1, 1, 1, 3, 2, 0, 4, 4, 0, 4, 4, 0, 1, 0, 3, 3, 2, 3, 0, 3, 0, 1, 4, 4, 3, 1, 0, 0, 0, 1, 2, 1, 4, 2, 0, 4, 2, 4, 0, 3, 0, 0, 3, 1, 2, 2, 0, 1, 1, 3, 2, 4, 4, 1, 0, 4, 4, 2, 0, 4, 4, 3, 4, 0, 3, 2, 2, 2, 4, 4, 0, 1, 3, 4, 1, 1, 2, 0, 4, 1, 4, 2, 1, 3, 1, 0, 3, 4, 2, 3, 0, 3, 1, 1, 1, 2, 3, 4, 1, 4, 1, 0, 4, 1, 2, 0, 2, 2, 2, 4, 2, 1, 1, 4, 3, 1, 1, 4, 4, 2, 0, 4, 2, 0, 0, 1, 2, 4, 3, 4, 3, 3, 0, 0, 1, 2, 0, 0, 2, 2, 3, 0, 3, 2, 4, 3, 4, 1, 2, 2, 0, 1, 2, 2, 2, 3, 4, 0, 3, 2, 1, 1, 0, 3, 3, 3, 4, 3, 4, 1, 2, 3, 1, 4, 0, 3, 3, 2, 1, 0, 1, 0, 4, 2, 0, 1, 4, 1, 1, 2, 4, 0, 4, 0, 2, 3, 0, 0, 4, 2, 3, 1, 4, 1, 2, 3, 2, 2, 2, 0, 4, 2, 4, 2, 4, 3, 2, 1, 4, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 4, 2, 2, 0, 2, 3, 4, 3, 2, 1, 2, 3, 3, 2, 3, 0, 2, 2, 0, 3, 3, 0, 0, 3, 0, 1, 4, 4, 4, 4, 1, 2, 4, 2, 1, 2, 4, 1, 2, 4, 4, 2, 3, 2, 4, 3, 4, 0, 0, 2, 0, 2, 0, 4, 1, 4, 3, 1, 2, 2, 4, 4, 1, 4, 4, 0, 1, 4, 3, 2] pubkeycol915 = [1, 4, 2, 4, 3, 4, 4, 4, 4, 2, 0, 4, 2, 3, 0, 2, 2, 4, 3, 3, 4, 3, 2, 0, 2, 2, 4, 2, 1, 3, 2, 2, 3, 3, 2, 2, 2, 3, 4, 3, 1, 3, 1, 1, 3, 2, 3, 3, 2, 4, 4, 2, 2, 4, 4, 3, 2, 4, 1, 3, 2, 4, 2, 2, 3, 0, 2, 0, 1, 1, 3, 2, 3, 3, 4, 1, 1, 1, 3, 3, 1, 4, 3, 4, 2, 4, 3, 3, 2, 2, 1, 2, 3, 1, 3, 2, 2, 2, 4, 2, 4, 3, 1, 2, 3, 2, 1, 1, 2, 0, 1, 4, 4, 2, 1, 0, 4, 3, 1, 4, 0, 3, 4, 1, 4, 4, 4, 1, 4, 3, 3, 0, 3, 3, 3, 2, 4, 4, 0, 0, 3, 2, 3, 1, 2, 1, 1, 2, 2, 4, 0, 2, 1, 4, 0, 4, 2, 1, 4, 1, 0, 0, 4, 1, 0, 2, 0, 0, 1, 3, 2, 3, 1, 0, 0, 2, 4, 0, 3, 3, 3, 4, 0, 3, 2, 1, 3, 4, 1, 1, 0, 3, 3, 4, 3, 3, 3, 4, 4, 2, 3, 1, 3, 2, 3, 1, 0, 4, 2, 3, 3, 0, 2, 0, 4, 2, 1, 3, 1, 3, 1, 2, 3, 0, 4, 0, 3, 0, 0, 4, 4, 0, 3, 1, 3, 1, 4, 2, 2, 2, 2, 4, 2, 4, 1, 1, 4, 3, 2, 0, 2, 0, 2, 4, 4, 2, 3, 2, 3, 1, 3, 1, 1, 1, 2, 2, 3, 1, 3, 1, 2, 2, 2, 3, 0, 3, 2, 2, 2, 4, 3, 0, 4, 3, 3, 3, 0, 3, 4, 3, 0, 2, 1, 1, 2, 1, 0, 2, 1, 3, 3, 4, 0, 3, 3, 2, 2, 2, 1, 3, 4, 2, 0, 0, 4, 0, 2, 0, 4, 4, 4, 4, 4, 3, 0, 2, 3, 2, 4, 3, 0, 0, 3, 4, 1, 1, 3, 3, 3, 2, 2, 2, 4, 0, 0, 1, 1, 2, 2, 0, 2, 3, 4, 2, 4, 1, 0, 1, 0, 0, 0, 4, 2, 2, 0, 3, 2, 1, 4, 3, 2, 3, 4, 0, 3, 0, 1, 1, 4, 4, 2, 3, 0, 1, 3, 4, 4, 0, 3, 3, 0, 0, 1, 0, 2, 2, 3, 1, 0, 3, 3, 3, 3, 3, 1, 2, 1, 0, 3, 4, 0, 3, 3, 3, 0, 1, 2, 4, 1, 0, 1, 0, 3, 4, 4, 4, 0, 2, 1, 0, 4, 0, 0, 3, 0, 3, 3, 1, 3, 0, 1, 0, 1, 2, 3, 2, 4, 3, 0, 1, 2, 2, 1, 3, 0, 0, 2, 0, 3, 4, 2, 0, 4, 1, 2, 4, 1, 2, 0, 1, 1, 4, 1, 4, 1, 3, 4, 4, 4, 3] pubkeycol916 = [2, 1, 0, 4, 1, 1, 0, 4, 2, 4, 2, 4, 0, 4, 0, 2, 3, 1, 2, 0, 0, 4, 0, 4, 3, 2, 4, 0, 2, 3, 0, 2, 3, 4, 3, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 4, 0, 1, 3, 1, 4, 2, 4, 4, 3, 1, 1, 2, 4, 4, 2, 3, 2, 3, 4, 3, 0, 2, 0, 2, 3, 2, 4, 1, 4, 3, 2, 1, 0, 0, 1, 4, 3, 3, 4, 0, 3, 1, 0, 4, 2, 2, 1, 3, 3, 2, 0, 4, 1, 2, 3, 1, 4, 3, 0, 4, 2, 2, 1, 0, 1, 4, 2, 2, 1, 0, 3, 0, 0, 1, 2, 1, 4, 0, 4, 1, 1, 1, 2, 3, 1, 3, 3, 1, 1, 3, 0, 1, 3, 1, 3, 0, 1, 2, 4, 3, 1, 3, 3, 1, 2, 2, 2, 1, 4, 2, 1, 3, 3, 1, 3, 3, 0, 3, 1, 3, 2, 4, 3, 2, 4, 1, 4, 1, 1, 3, 1, 3, 0, 0, 3, 2, 1, 3, 1, 0, 0, 3, 0, 1, 0, 1, 2, 1, 3, 3, 0, 3, 4, 2, 0, 4, 2, 2, 0, 4, 2, 3, 4, 2, 1, 1, 1, 4, 0, 2, 3, 3, 3, 2, 2, 4, 3, 0, 2, 2, 4, 1, 4, 3, 2, 3, 3, 3, 0, 3, 1, 3, 2, 2, 1, 0, 1, 0, 2, 3, 0, 1, 0, 4, 4, 2, 1, 1, 0, 4, 3, 0, 0, 2, 1, 0, 3, 1, 2, 0, 4, 0, 1, 0, 0, 4, 0, 4, 1, 4, 4, 1, 0, 0, 0, 1, 1, 4, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 0, 4, 2, 1, 1, 3, 0, 4, 0, 2, 4, 2, 3, 3, 3, 0, 3, 0, 4, 0, 3, 4, 2, 4, 0, 2, 2, 2, 0, 4, 1, 4, 2, 0, 2, 2, 4, 2, 2, 3, 1, 2, 0, 3, 3, 4, 1, 1, 1, 3, 0, 4, 4, 1, 4, 4, 0, 3, 1, 0, 0, 1, 0, 4, 1, 2, 0, 4, 4, 2, 1, 1, 1, 2, 3, 2, 0, 3, 3, 0, 3, 2, 4, 1, 1, 2, 4, 1, 1, 0, 4, 1, 4, 0, 1, 4, 4, 3, 4, 2, 3, 0, 0, 0, 4, 3, 2, 2, 2, 1, 1, 2, 4, 1, 1, 1, 2, 0, 4, 3, 2, 0, 0, 2, 0, 4, 0, 2, 1, 2, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4, 1, 1, 3, 4, 1, 1, 1, 0, 4, 2, 2, 1, 4, 0, 1, 2, 2, 0, 3, 2, 2, 4, 3, 2, 0, 1, 4, 1, 0, 4, 1, 3, 1, 0, 3, 3, 3, 1, 4, 0, 1] pubkeycol917 = [4, 2, 2, 2, 2, 3, 0, 4, 2, 0, 1, 4, 4, 1, 4, 1, 4, 4, 1, 4, 2, 0, 2, 1, 4, 2, 0, 2, 2, 1, 3, 4, 4, 0, 4, 2, 4, 3, 4, 0, 4, 0, 2, 2, 3, 1, 0, 1, 0, 0, 4, 1, 4, 4, 3, 0, 1, 3, 4, 4, 3, 0, 2, 2, 0, 2, 4, 0, 3, 1, 3, 1, 1, 0, 4, 3, 3, 3, 4, 1, 1, 3, 1, 0, 1, 2, 4, 1, 1, 1, 3, 2, 0, 0, 3, 2, 4, 3, 3, 2, 1, 0, 3, 0, 0, 1, 0, 1, 0, 2, 3, 4, 3, 1, 2, 2, 2, 1, 3, 2, 0, 3, 2, 3, 2, 0, 4, 1, 3, 4, 3, 4, 1, 3, 1, 2, 2, 4, 0, 0, 1, 0, 1, 2, 1, 4, 1, 4, 0, 1, 0, 1, 4, 1, 0, 2, 4, 4, 2, 2, 0, 2, 2, 3, 1, 2, 3, 3, 2, 0, 2, 1, 4, 3, 0, 0, 1, 3, 3, 4, 4, 2, 1, 4, 0, 3, 2, 3, 2, 1, 2, 4, 1, 2, 4, 2, 4, 0, 0, 0, 4, 4, 1, 1, 3, 2, 1, 3, 4, 4, 4, 0, 1, 2, 1, 2, 4, 3, 4, 1, 4, 4, 3, 4, 0, 0, 4, 1, 2, 4, 1, 2, 4, 4, 2, 4, 2, 2, 3, 0, 3, 1, 4, 4, 4, 2, 4, 1, 4, 3, 4, 4, 2, 1, 3, 2, 3, 0, 1, 3, 0, 4, 2, 3, 3, 2, 0, 3, 3, 1, 0, 2, 1, 2, 4, 0, 0, 3, 1, 2, 4, 2, 3, 1, 0, 3, 1, 2, 2, 1, 1, 3, 0, 0, 4, 4, 3, 3, 1, 3, 4, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 3, 4, 2, 0, 3, 2, 4, 4, 0, 4, 2, 0, 1, 4, 4, 4, 3, 3, 2, 3, 3, 2, 3, 2, 0, 0, 4, 0, 0, 2, 4, 0, 0, 4, 0, 4, 4, 2, 3, 3, 3, 2, 3, 0, 4, 4, 4, 1, 2, 3, 1, 4, 2, 4, 2, 4, 1, 3, 0, 0, 4, 3, 2, 0, 3, 3, 3, 2, 4, 1, 3, 4, 0, 0, 0, 1, 3, 2, 2, 2, 4, 3, 4, 0, 2, 3, 4, 4, 4, 0, 1, 4, 1, 0, 2, 0, 2, 3, 2, 2, 2, 0, 0, 3, 2, 2, 4, 2, 3, 3, 2, 0, 2, 2, 4, 0, 2, 2, 4, 3, 0, 3, 3, 3, 2, 0, 2, 0, 3, 2, 4, 2, 2, 2, 3, 2, 4, 4, 3, 0, 0, 2, 4, 2, 0, 2, 1, 0, 1, 3, 0, 1, 1, 4, 3, 4, 1, 4, 4, 1, 2, 1, 2, 2, 1, 1] pubkeycol918 = [0, 2, 1, 3, 4, 3, 2, 2, 3, 3, 3, 2, 1, 2, 1, 4, 1, 4, 1, 3, 2, 2, 3, 0, 3, 1, 2, 0, 2, 4, 1, 4, 2, 2, 3, 0, 3, 1, 2, 0, 3, 3, 3, 2, 2, 1, 0, 3, 4, 0, 3, 3, 4, 1, 1, 2, 3, 4, 4, 2, 3, 1, 1, 0, 4, 4, 3, 1, 0, 2, 4, 4, 4, 3, 2, 4, 0, 0, 0, 2, 1, 0, 2, 3, 2, 4, 4, 3, 1, 0, 1, 2, 4, 2, 3, 2, 3, 2, 0, 3, 0, 4, 4, 4, 2, 1, 4, 4, 0, 0, 1, 2, 3, 3, 3, 2, 0, 3, 4, 0, 1, 0, 4, 3, 1, 4, 1, 2, 4, 0, 3, 2, 0, 3, 4, 0, 1, 3, 2, 0, 4, 1, 0, 1, 0, 3, 4, 3, 1, 4, 1, 2, 0, 4, 3, 0, 2, 3, 1, 1, 0, 1, 0, 1, 2, 0, 4, 2, 0, 2, 2, 3, 1, 0, 4, 3, 4, 0, 3, 0, 1, 4, 3, 4, 1, 4, 0, 4, 3, 1, 3, 1, 1, 1, 0, 2, 1, 4, 4, 3, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 3, 3, 4, 0, 3, 3, 3, 0, 1, 2, 4, 0, 0, 1, 3, 2, 1, 0, 3, 4, 0, 4, 2, 2, 2, 4, 3, 3, 0, 4, 3, 1, 0, 0, 4, 4, 2, 0, 0, 2, 3, 4, 4, 3, 3, 3, 2, 4, 0, 2, 0, 2, 0, 2, 4, 2, 2, 0, 0, 2, 0, 0, 1, 4, 0, 4, 1, 4, 0, 0, 3, 2, 3, 3, 2, 2, 4, 0, 1, 1, 2, 1, 2, 3, 0, 3, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 4, 2, 4, 0, 2, 2, 0, 2, 4, 1, 3, 3, 2, 0, 4, 0, 1, 1, 2, 3, 3, 1, 0, 1, 3, 2, 4, 3, 0, 3, 1, 3, 0, 2, 1, 1, 3, 2, 3, 4, 1, 4, 4, 1, 2, 2, 3, 2, 0, 3, 0, 1, 2, 2, 3, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 4, 0, 2, 4, 0, 2, 2, 1, 4, 1, 2, 0, 2, 4, 0, 3, 3, 0, 1, 3, 1, 4, 4, 0, 0, 0, 0, 3, 4, 4, 4, 1, 4, 3, 3, 3, 0, 2, 3, 1, 2, 0, 2, 1, 0, 2, 2, 4, 1, 2, 3, 0, 2, 4, 1, 4, 2, 1, 3, 0, 4, 3, 3, 3, 3, 3, 1, 0, 2, 4, 4, 2, 2, 2, 0, 0, 3, 2, 0, 3, 2, 2, 1, 4, 4, 2, 4, 2, 0, 4, 1, 2, 0, 4, 2, 4, 0, 1, 4, 1, 2, 0, 1, 4, 0, 1, 4] pubkeycol919 = [3, 0, 0, 3, 2, 4, 3, 2, 2, 1, 2, 2, 3, 4, 4, 2, 0, 0, 3, 4, 1, 1, 4, 4, 4, 3, 4, 3, 1, 0, 4, 4, 2, 4, 2, 1, 1, 1, 2, 2, 1, 1, 0, 4, 2, 4, 4, 2, 4, 1, 2, 0, 2, 1, 4, 4, 3, 3, 2, 0, 3, 2, 0, 2, 2, 0, 2, 4, 2, 0, 1, 0, 1, 1, 1, 2, 4, 0, 0, 1, 3, 1, 3, 0, 2, 0, 4, 2, 1, 2, 3, 3, 4, 4, 4, 1, 1, 1, 3, 3, 0, 0, 3, 4, 2, 0, 3, 4, 1, 3, 4, 4, 1, 2, 1, 1, 2, 4, 3, 1, 4, 4, 0, 3, 2, 0, 2, 3, 4, 4, 2, 0, 2, 2, 4, 4, 0, 4, 2, 3, 3, 4, 4, 1, 1, 4, 4, 0, 4, 0, 3, 3, 2, 3, 3, 3, 4, 3, 0, 4, 1, 4, 3, 1, 1, 0, 4, 1, 0, 1, 3, 1, 0, 2, 2, 1, 1, 0, 3, 1, 4, 1, 2, 3, 1, 4, 3, 3, 1, 2, 3, 4, 4, 3, 4, 0, 3, 3, 3, 4, 1, 4, 3, 3, 1, 2, 4, 1, 4, 4, 1, 1, 1, 1, 0, 4, 1, 2, 4, 2, 3, 1, 3, 4, 4, 3, 4, 1, 1, 1, 0, 3, 3, 3, 0, 1, 4, 4, 3, 0, 1, 1, 3, 4, 2, 0, 4, 0, 2, 2, 1, 3, 1, 0, 1, 3, 1, 4, 2, 0, 1, 0, 0, 2, 2, 1, 4, 4, 1, 2, 2, 4, 1, 1, 2, 3, 4, 1, 3, 1, 2, 4, 1, 4, 1, 3, 4, 1, 4, 0, 1, 4, 1, 0, 4, 1, 0, 2, 0, 3, 4, 1, 4, 2, 3, 4, 1, 3, 4, 2, 0, 3, 0, 2, 1, 1, 4, 1, 2, 2, 2, 2, 4, 2, 2, 2, 4, 4, 1, 4, 3, 2, 3, 3, 1, 3, 1, 1, 4, 4, 0, 4, 0, 0, 0, 1, 4, 1, 3, 0, 2, 2, 4, 3, 3, 0, 3, 4, 4, 4, 0, 0, 2, 1, 2, 4, 0, 1, 1, 4, 4, 2, 2, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 3, 0, 1, 2, 4, 0, 0, 4, 0, 3, 1, 4, 3, 3, 4, 3, 4, 0, 1, 3, 4, 4, 1, 4, 4, 1, 1, 4, 1, 1, 2, 0, 4, 4, 0, 1, 3, 1, 1, 0, 1, 4, 4, 4, 1, 2, 4, 4, 1, 1, 4, 2, 3, 0, 2, 4, 0, 0, 0, 3, 1, 0, 3, 1, 0, 0, 2, 3, 0, 2, 1, 3, 0, 4, 3, 2, 1, 4, 1, 2, 1, 3, 1, 4, 2, 3, 1, 2, 0, 2, 0, 1, 3, 1, 1, 2, 2] pubkeycol920 = [4, 3, 3, 0, 1, 0, 4, 4, 2, 0, 0, 0, 4, 0, 3, 2, 3, 4, 1, 3, 1, 0, 0, 2, 2, 2, 0, 3, 4, 2, 3, 2, 0, 4, 1, 1, 1, 3, 1, 4, 0, 2, 1, 0, 4, 3, 1, 2, 4, 1, 1, 3, 3, 1, 3, 2, 0, 1, 1, 1, 0, 3, 1, 3, 2, 4, 2, 3, 4, 3, 4, 0, 4, 3, 3, 4, 3, 1, 1, 3, 0, 4, 0, 3, 0, 4, 1, 1, 1, 2, 2, 3, 1, 4, 0, 4, 1, 2, 1, 2, 2, 0, 4, 3, 3, 1, 4, 1, 1, 1, 0, 0, 4, 0, 4, 4, 0, 2, 2, 2, 0, 2, 1, 3, 2, 4, 4, 4, 4, 2, 2, 4, 4, 1, 1, 3, 1, 1, 2, 4, 0, 4, 0, 2, 3, 4, 0, 1, 4, 0, 1, 4, 4, 2, 1, 4, 2, 1, 0, 3, 1, 4, 2, 1, 4, 4, 3, 1, 3, 0, 4, 4, 0, 4, 2, 4, 2, 2, 4, 4, 4, 2, 2, 1, 2, 0, 3, 2, 3, 3, 1, 0, 3, 3, 2, 1, 1, 3, 4, 3, 3, 0, 0, 0, 2, 2, 1, 3, 3, 1, 0, 4, 2, 1, 4, 2, 4, 0, 3, 2, 0, 3, 4, 4, 4, 1, 4, 2, 0, 0, 4, 4, 1, 4, 4, 4, 2, 0, 1, 0, 1, 3, 2, 0, 0, 0, 4, 0, 2, 1, 3, 4, 0, 2, 0, 0, 3, 4, 1, 3, 4, 0, 2, 3, 3, 4, 4, 1, 4, 0, 4, 2, 0, 1, 2, 2, 2, 4, 1, 1, 1, 0, 3, 0, 4, 2, 3, 4, 1, 0, 3, 4, 2, 3, 1, 1, 0, 4, 2, 0, 1, 3, 0, 3, 4, 1, 3, 1, 1, 4, 4, 4, 1, 1, 4, 3, 2, 3, 4, 2, 3, 4, 0, 1, 2, 3, 4, 1, 0, 3, 1, 1, 0, 0, 3, 0, 0, 0, 4, 2, 2, 4, 0, 2, 1, 1, 1, 2, 3, 4, 0, 4, 2, 3, 3, 3, 3, 2, 0, 1, 4, 4, 4, 1, 1, 4, 0, 3, 2, 3, 1, 3, 1, 1, 1, 3, 2, 0, 0, 2, 2, 1, 2, 3, 3, 2, 0, 0, 2, 2, 2, 1, 4, 3, 4, 1, 0, 1, 2, 3, 2, 4, 4, 4, 0, 0, 4, 0, 0, 3, 1, 1, 3, 0, 3, 3, 4, 2, 4, 0, 4, 0, 4, 3, 3, 3, 3, 1, 2, 3, 4, 2, 1, 2, 3, 0, 1, 2, 0, 4, 1, 0, 4, 3, 4, 4, 4, 3, 3, 0, 1, 4, 4, 1, 3, 2, 3, 4, 3, 2, 1, 4, 4, 2, 4, 4, 1, 1, 1, 1, 4, 4, 0, 3, 2, 0, 4, 2, 1, 3] pubkeycol921 = [0, 4, 0, 0, 1, 4, 3, 1, 3, 2, 1, 1, 2, 0, 2, 2, 3, 1, 3, 1, 3, 1, 4, 1, 0, 4, 1, 3, 1, 3, 1, 4, 1, 2, 2, 4, 0, 3, 2, 4, 0, 2, 1, 2, 3, 2, 2, 2, 1, 0, 1, 3, 4, 0, 0, 1, 2, 4, 4, 1, 2, 0, 4, 2, 4, 2, 0, 4, 1, 2, 2, 0, 0, 1, 3, 0, 2, 4, 1, 1, 0, 0, 1, 3, 3, 1, 3, 0, 3, 3, 1, 4, 4, 2, 1, 3, 3, 1, 0, 1, 3, 3, 3, 0, 3, 2, 2, 0, 0, 4, 4, 3, 1, 4, 3, 2, 2, 4, 2, 3, 2, 2, 3, 0, 4, 3, 3, 3, 2, 0, 2, 1, 1, 1, 3, 4, 0, 3, 0, 1, 0, 0, 0, 4, 3, 1, 2, 1, 3, 2, 1, 0, 0, 1, 3, 4, 3, 1, 4, 3, 2, 2, 3, 4, 2, 3, 4, 0, 1, 0, 1, 2, 3, 3, 4, 0, 3, 3, 0, 3, 4, 0, 4, 4, 4, 3, 0, 4, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 2, 0, 1, 0, 3, 2, 2, 0, 2, 4, 3, 3, 4, 2, 4, 4, 1, 3, 3, 3, 2, 4, 1, 2, 1, 1, 1, 3, 3, 1, 4, 2, 3, 2, 2, 4, 0, 0, 0, 1, 2, 0, 0, 0, 3, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 3, 1, 2, 4, 1, 3, 0, 2, 0, 1, 2, 4, 2, 4, 1, 0, 4, 2, 1, 1, 3, 1, 1, 2, 0, 0, 2, 2, 0, 4, 4, 2, 4, 4, 4, 2, 1, 1, 1, 4, 0, 4, 4, 4, 4, 3, 4, 2, 4, 1, 0, 3, 2, 2, 1, 2, 0, 2, 0, 4, 0, 4, 1, 2, 4, 1, 4, 2, 1, 1, 3, 2, 2, 4, 0, 3, 0, 0, 0, 1, 2, 2, 4, 1, 0, 4, 4, 0, 4, 4, 4, 1, 3, 3, 1, 0, 1, 4, 4, 1, 2, 2, 3, 3, 4, 4, 4, 1, 0, 2, 0, 4, 0, 0, 4, 1, 3, 2, 3, 1, 0, 2, 0, 2, 4, 3, 3, 4, 4, 0, 4, 4, 2, 0, 3, 4, 3, 0, 2, 2, 2, 1, 3, 0, 0, 4, 2, 0, 0, 2, 3, 2, 4, 1, 4, 2, 2, 0, 0, 1, 1, 3, 2, 2, 1, 0, 0, 1, 3, 1, 2, 0, 4, 3, 0, 2, 0, 3, 4, 4, 3, 1, 3, 1, 2, 4, 4, 2, 3, 1, 1, 2, 3, 2, 4, 3, 0, 1, 1, 1, 1, 1, 2, 4, 1, 2, 2, 4, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 4, 0, 0, 3, 3, 4, 1, 1] pubkeycol922 = [2, 2, 4, 3, 2, 4, 0, 1, 0, 3, 3, 0, 0, 2, 4, 2, 4, 4, 2, 2, 3, 0, 1, 4, 2, 3, 2, 0, 0, 4, 4, 3, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 0, 1, 3, 3, 4, 3, 0, 2, 2, 3, 1, 0, 1, 1, 4, 0, 4, 3, 4, 1, 3, 1, 0, 0, 4, 4, 4, 3, 3, 1, 2, 0, 4, 3, 2, 0, 1, 0, 0, 1, 2, 2, 3, 1, 3, 4, 4, 3, 1, 4, 3, 2, 2, 0, 0, 3, 3, 4, 0, 2, 3, 2, 1, 3, 2, 2, 1, 4, 4, 4, 1, 0, 1, 1, 3, 4, 0, 4, 0, 4, 0, 3, 0, 4, 3, 3, 0, 3, 3, 4, 4, 1, 4, 1, 1, 2, 1, 3, 1, 0, 1, 1, 0, 4, 4, 4, 0, 0, 3, 0, 2, 4, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 1, 4, 3, 4, 0, 0, 0, 4, 1, 3, 1, 1, 1, 0, 2, 2, 0, 3, 4, 1, 3, 0, 2, 3, 3, 1, 1, 0, 1, 3, 3, 3, 4, 1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 0, 2, 1, 2, 0, 3, 0, 0, 2, 0, 4, 0, 4, 1, 3, 2, 4, 3, 4, 2, 2, 3, 1, 3, 1, 0, 0, 1, 2, 2, 4, 3, 2, 2, 3, 1, 2, 3, 4, 4, 1, 3, 4, 4, 4, 4, 4, 1, 1, 2, 4, 0, 3, 1, 2, 4, 4, 0, 2, 4, 2, 3, 2, 2, 1, 1, 3, 1, 4, 2, 0, 2, 2, 3, 0, 0, 2, 4, 2, 0, 0, 4, 2, 1, 0, 4, 3, 3, 2, 3, 3, 4, 2, 3, 0, 1, 1, 4, 4, 0, 3, 2, 1, 4, 3, 3, 4, 2, 2, 1, 0, 4, 4, 1, 3, 4, 3, 0, 1, 0, 3, 0, 3, 3, 1, 1, 2, 1, 1, 1, 4, 3, 4, 0, 0, 0, 1, 2, 3, 4, 4, 4, 2, 2, 4, 3, 2, 1, 0, 2, 4, 2, 3, 2, 2, 3, 3, 1, 1, 3, 1, 3, 0, 1, 0, 4, 2, 0, 2, 3, 4, 3, 3, 3, 3, 3, 1, 3, 2, 0, 1, 0, 4, 1, 1, 2, 1, 4, 1, 3, 3, 3, 2, 2, 4, 0, 3, 0, 3, 4, 3, 4, 2, 1, 4, 3, 1, 2, 0, 0, 1, 0, 1, 2, 0, 3, 4, 4, 1, 3, 3, 3, 0, 3, 1, 4, 2, 3, 3, 2, 4, 2, 3, 0, 4, 4, 0, 4, 4, 1, 2, 3, 1, 1, 0, 2, 0, 1, 4, 2, 0, 2, 1, 4, 4, 2, 0, 4, 3, 2, 0, 2, 3, 0, 4, 3, 4, 4, 2, 1, 0, 0, 4] pubkeycol923 = [2, 0, 4, 3, 1, 3, 2, 0, 2, 3, 0, 4, 4, 1, 2, 0, 4, 1, 4, 4, 2, 0, 4, 2, 4, 4, 4, 0, 2, 3, 0, 0, 0, 1, 4, 2, 1, 3, 4, 3, 2, 3, 0, 1, 4, 4, 2, 2, 1, 3, 1, 3, 3, 0, 1, 0, 4, 1, 2, 3, 0, 4, 4, 3, 1, 4, 4, 0, 1, 0, 4, 3, 0, 0, 2, 1, 0, 1, 3, 3, 0, 3, 3, 1, 1, 4, 3, 2, 3, 3, 3, 2, 3, 0, 1, 0, 2, 1, 4, 4, 1, 4, 2, 4, 1, 1, 4, 2, 3, 3, 2, 0, 0, 4, 4, 3, 4, 2, 4, 0, 2, 1, 3, 4, 3, 4, 2, 3, 1, 1, 0, 1, 3, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 4, 2, 2, 3, 1, 3, 4, 0, 4, 2, 3, 3, 3, 2, 2, 4, 1, 0, 4, 1, 3, 4, 4, 4, 0, 4, 4, 1, 0, 4, 0, 3, 2, 2, 2, 3, 3, 4, 0, 1, 1, 3, 1, 0, 2, 0, 0, 2, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 4, 1, 3, 0, 1, 2, 0, 4, 0, 1, 1, 3, 1, 4, 2, 1, 2, 3, 4, 2, 0, 4, 2, 1, 1, 3, 0, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 1, 4, 2, 4, 3, 4, 1, 3, 4, 4, 1, 1, 3, 0, 1, 2, 0, 4, 2, 4, 2, 0, 4, 4, 1, 2, 3, 0, 2, 4, 0, 4, 3, 0, 4, 1, 1, 0, 2, 3, 4, 1, 0, 0, 0, 3, 2, 3, 1, 3, 4, 0, 4, 0, 1, 1, 2, 0, 4, 0, 0, 0, 0, 2, 1, 1, 2, 0, 3, 2, 3, 3, 3, 4, 0, 0, 2, 1, 2, 3, 4, 3, 2, 0, 3, 4, 2, 0, 3, 1, 2, 4, 2, 2, 3, 1, 2, 0, 0, 1, 3, 2, 3, 1, 3, 1, 1, 3, 2, 2, 3, 0, 3, 0, 0, 1, 0, 2, 1, 3, 0, 3, 0, 2, 2, 1, 3, 3, 4, 4, 2, 0, 1, 2, 3, 2, 1, 4, 0, 3, 1, 2, 3, 3, 3, 0, 2, 1, 3, 0, 1, 0, 1, 0, 3, 0, 2, 2, 0, 3, 3, 1, 1, 1, 4, 2, 1, 1, 1, 4, 3, 3, 4, 1, 1, 0, 3, 2, 0, 0, 4, 0, 2, 0, 1, 4, 1, 3, 2, 0, 0, 1, 3, 1, 3, 1, 3, 3, 3, 4, 4, 3, 2, 1, 1, 4, 4, 1, 0, 0, 1, 0, 0, 3, 4, 3, 1, 2, 1, 2, 1, 2, 0, 2, 3, 4, 4, 0, 1, 2, 0, 0, 2, 0, 4, 4, 4, 4, 1, 2] pubkeycol924 = [4, 2, 4, 3, 2, 2, 2, 3, 0, 0, 4, 0, 4, 4, 2, 3, 0, 2, 1, 3, 1, 3, 4, 0, 4, 0, 0, 2, 1, 3, 1, 2, 1, 4, 2, 4, 2, 4, 0, 0, 4, 2, 4, 0, 1, 0, 0, 3, 4, 3, 1, 4, 0, 0, 3, 4, 1, 2, 2, 2, 1, 4, 2, 1, 0, 1, 1, 1, 2, 2, 4, 2, 3, 0, 0, 1, 0, 4, 2, 2, 3, 0, 3, 3, 1, 2, 2, 3, 0, 2, 2, 0, 3, 1, 1, 0, 3, 3, 4, 0, 0, 4, 0, 2, 2, 4, 4, 4, 1, 1, 2, 4, 4, 3, 1, 3, 0, 3, 4, 4, 0, 0, 2, 2, 0, 4, 4, 4, 0, 1, 1, 2, 1, 3, 2, 0, 2, 2, 0, 0, 2, 1, 4, 1, 1, 3, 1, 4, 4, 1, 0, 2, 0, 0, 0, 2, 0, 3, 0, 1, 0, 0, 1, 2, 0, 3, 3, 4, 2, 4, 0, 2, 2, 0, 0, 1, 4, 1, 3, 1, 2, 0, 0, 2, 0, 3, 0, 2, 2, 0, 3, 0, 3, 4, 4, 3, 0, 0, 4, 2, 2, 1, 4, 0, 2, 0, 0, 1, 1, 4, 1, 3, 4, 2, 0, 0, 1, 0, 3, 4, 0, 4, 2, 3, 4, 2, 4, 2, 0, 4, 1, 3, 3, 3, 3, 2, 4, 3, 1, 4, 1, 1, 1, 4, 3, 2, 4, 0, 2, 1, 4, 4, 4, 4, 4, 3, 3, 4, 1, 3, 0, 1, 3, 4, 3, 1, 2, 2, 2, 3, 2, 3, 2, 0, 1, 4, 2, 4, 0, 0, 4, 0, 2, 2, 0, 0, 2, 0, 3, 4, 3, 1, 4, 3, 2, 2, 0, 4, 1, 2, 0, 3, 4, 2, 3, 0, 4, 3, 3, 1, 4, 1, 0, 1, 3, 1, 2, 0, 0, 0, 0, 3, 0, 1, 1, 2, 4, 2, 4, 0, 2, 3, 3, 2, 0, 3, 1, 4, 4, 3, 1, 2, 2, 4, 2, 2, 0, 1, 2, 0, 1, 4, 3, 0, 4, 4, 3, 2, 0, 0, 2, 3, 2, 3, 1, 2, 0, 0, 0, 4, 4, 4, 0, 0, 1, 2, 1, 1, 2, 3, 0, 0, 0, 1, 2, 4, 2, 4, 2, 2, 0, 3, 3, 1, 3, 1, 1, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 0, 3, 0, 0, 2, 0, 1, 0, 3, 0, 4, 2, 1, 2, 1, 3, 2, 3, 2, 4, 2, 0, 0, 2, 3, 4, 1, 1, 2, 1, 3, 4, 1, 3, 3, 3, 0, 4, 1, 4, 1, 4, 0, 0, 4, 3, 1, 0, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 4, 0, 4, 1, 4, 1, 3, 0, 0, 1, 3, 3, 0, 2] pubkeycol925 = [1, 1, 0, 2, 1, 0, 2, 3, 3, 4, 2, 1, 4, 0, 0, 0, 1, 0, 4, 3, 2, 1, 0, 2, 0, 1, 4, 2, 3, 0, 0, 3, 0, 3, 1, 3, 3, 2, 4, 2, 4, 3, 3, 3, 0, 2, 4, 3, 3, 0, 1, 2, 3, 4, 0, 2, 0, 3, 1, 2, 4, 2, 2, 0, 3, 1, 0, 2, 0, 3, 0, 3, 1, 1, 3, 4, 2, 3, 1, 2, 4, 1, 0, 0, 0, 1, 1, 3, 0, 2, 3, 1, 4, 4, 1, 0, 3, 1, 0, 1, 1, 1, 1, 2, 0, 1, 4, 0, 3, 3, 3, 3, 0, 2, 4, 1, 2, 4, 0, 2, 1, 0, 1, 0, 3, 3, 2, 0, 1, 0, 2, 3, 2, 3, 3, 1, 3, 0, 2, 2, 3, 4, 4, 1, 1, 2, 3, 4, 0, 2, 4, 1, 3, 0, 2, 4, 3, 2, 0, 1, 1, 1, 4, 1, 3, 0, 3, 0, 2, 2, 2, 1, 0, 3, 2, 4, 3, 0, 0, 0, 2, 1, 1, 0, 1, 0, 4, 1, 4, 3, 0, 3, 1, 3, 1, 2, 4, 2, 2, 0, 3, 0, 0, 0, 3, 0, 1, 0, 0, 0, 3, 1, 1, 0, 3, 2, 0, 0, 4, 2, 4, 3, 4, 4, 3, 4, 3, 4, 2, 4, 2, 1, 4, 3, 1, 3, 2, 2, 0, 1, 3, 1, 1, 2, 1, 1, 1, 2, 2, 4, 2, 0, 2, 2, 1, 4, 1, 2, 0, 1, 2, 1, 3, 1, 0, 3, 1, 3, 3, 1, 4, 4, 0, 3, 1, 2, 1, 1, 2, 3, 4, 0, 0, 0, 4, 4, 4, 0, 3, 3, 1, 0, 1, 2, 3, 4, 0, 2, 2, 2, 4, 1, 2, 3, 0, 0, 2, 3, 0, 3, 4, 0, 1, 4, 2, 1, 3, 2, 2, 3, 0, 3, 3, 4, 1, 1, 3, 0, 2, 1, 2, 1, 2, 3, 1, 3, 0, 1, 3, 2, 4, 1, 0, 2, 1, 2, 3, 4, 0, 2, 1, 3, 4, 2, 0, 1, 0, 4, 2, 3, 4, 2, 2, 1, 4, 2, 1, 2, 2, 0, 0, 2, 3, 1, 3, 4, 0, 0, 4, 1, 4, 3, 1, 2, 2, 2, 2, 0, 3, 2, 3, 4, 0, 0, 1, 0, 3, 2, 1, 4, 4, 0, 1, 3, 0, 1, 2, 3, 2, 1, 0, 4, 4, 1, 1, 4, 1, 4, 1, 4, 3, 4, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 1, 1, 2, 0, 2, 4, 0, 4, 2, 0, 4, 0, 3, 4, 1, 2, 0, 2, 3, 0, 1, 0, 1, 4, 4, 1, 2, 0, 3, 1, 4, 2, 1, 2, 1, 0, 4, 3, 4, 1, 1, 4, 4, 1, 0, 1, 1, 0] pubkeycol926 = [2, 0, 3, 0, 3, 2, 2, 0, 0, 0, 0, 1, 3, 3, 3, 2, 0, 1, 2, 4, 4, 2, 2, 2, 4, 4, 2, 4, 3, 2, 1, 2, 1, 1, 0, 1, 4, 4, 3, 3, 3, 0, 2, 3, 0, 3, 2, 4, 3, 4, 3, 3, 1, 2, 2, 0, 4, 2, 2, 0, 2, 4, 2, 1, 3, 1, 4, 1, 3, 2, 3, 1, 2, 4, 1, 0, 4, 3, 0, 4, 2, 4, 4, 0, 4, 1, 3, 2, 2, 4, 0, 0, 3, 4, 1, 4, 3, 0, 1, 3, 3, 4, 2, 0, 3, 3, 2, 0, 4, 1, 4, 3, 4, 4, 4, 3, 4, 2, 0, 2, 1, 4, 4, 4, 4, 2, 2, 3, 4, 0, 2, 0, 4, 3, 1, 3, 0, 2, 4, 1, 0, 4, 0, 2, 0, 3, 0, 3, 2, 2, 3, 1, 4, 4, 1, 3, 1, 4, 4, 2, 3, 4, 4, 4, 3, 3, 2, 0, 0, 1, 2, 3, 2, 3, 1, 4, 0, 1, 2, 2, 0, 4, 3, 0, 3, 3, 2, 2, 2, 3, 4, 2, 4, 0, 1, 0, 0, 1, 3, 0, 0, 4, 3, 0, 0, 1, 4, 4, 4, 3, 2, 2, 0, 3, 2, 4, 0, 4, 0, 2, 1, 1, 1, 2, 0, 0, 0, 3, 4, 2, 3, 2, 0, 2, 3, 4, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 4, 1, 2, 2, 0, 0, 3, 0, 4, 4, 0, 3, 4, 0, 0, 4, 2, 4, 2, 1, 3, 3, 0, 3, 0, 4, 2, 3, 4, 1, 0, 4, 2, 0, 3, 2, 3, 4, 0, 1, 3, 3, 2, 4, 1, 0, 2, 4, 3, 1, 2, 1, 1, 3, 1, 1, 2, 3, 2, 4, 1, 0, 1, 2, 3, 3, 0, 2, 2, 0, 2, 2, 2, 4, 3, 1, 4, 0, 3, 2, 4, 4, 3, 3, 1, 2, 0, 1, 3, 2, 1, 0, 4, 3, 0, 2, 0, 3, 0, 1, 0, 2, 4, 3, 1, 4, 2, 4, 4, 1, 4, 2, 1, 2, 3, 4, 0, 4, 4, 0, 3, 4, 2, 3, 1, 4, 1, 2, 2, 0, 3, 4, 0, 3, 0, 2, 4, 1, 2, 2, 4, 2, 2, 1, 0, 3, 3, 0, 2, 4, 0, 4, 3, 0, 2, 0, 2, 3, 1, 4, 0, 4, 3, 4, 1, 2, 0, 3, 0, 2, 2, 2, 4, 3, 3, 2, 4, 3, 4, 3, 3, 1, 1, 1, 0, 1, 1, 0, 2, 1, 4, 0, 1, 0, 0, 1, 0, 4, 4, 0, 4, 1, 2, 3, 1, 3, 2, 2, 3, 0, 0, 4, 0, 4, 3, 2, 4, 2, 0, 3, 0, 0, 0, 3, 3, 0, 1, 2, 2, 1, 3, 4, 2, 1] pubkeycol927 = [4, 1, 2, 2, 4, 1, 3, 4, 1, 0, 4, 0, 1, 0, 1, 1, 1, 2, 2, 0, 3, 0, 4, 3, 4, 4, 4, 0, 4, 1, 1, 4, 1, 2, 1, 0, 2, 3, 1, 2, 2, 2, 1, 1, 0, 3, 0, 2, 4, 3, 3, 4, 1, 4, 4, 3, 3, 1, 2, 3, 2, 3, 3, 1, 0, 3, 0, 0, 4, 2, 4, 1, 1, 4, 4, 1, 3, 0, 4, 1, 4, 4, 1, 0, 2, 0, 4, 1, 4, 3, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 4, 3, 3, 4, 4, 1, 2, 4, 0, 4, 4, 3, 1, 4, 1, 3, 4, 2, 4, 3, 2, 0, 4, 2, 3, 3, 1, 3, 0, 3, 0, 0, 3, 3, 4, 4, 2, 0, 3, 4, 2, 2, 3, 1, 3, 3, 1, 4, 3, 3, 3, 0, 1, 4, 1, 4, 4, 2, 3, 1, 3, 4, 3, 2, 0, 3, 0, 4, 1, 2, 0, 3, 4, 1, 4, 1, 0, 4, 1, 4, 1, 4, 4, 2, 1, 0, 2, 4, 1, 2, 3, 0, 3, 2, 2, 3, 2, 3, 3, 1, 4, 3, 3, 2, 1, 4, 4, 0, 3, 0, 1, 1, 2, 0, 4, 2, 2, 4, 3, 1, 2, 1, 2, 4, 4, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 3, 2, 0, 3, 2, 0, 4, 3, 0, 1, 1, 4, 4, 2, 1, 4, 2, 0, 3, 3, 0, 4, 4, 1, 2, 1, 0, 0, 3, 0, 4, 0, 4, 2, 2, 2, 4, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 0, 1, 3, 0, 1, 4, 3, 1, 2, 2, 1, 4, 0, 2, 0, 3, 4, 2, 3, 4, 3, 0, 4, 0, 0, 2, 2, 0, 2, 2, 3, 4, 2, 3, 4, 2, 2, 0, 2, 1, 2, 3, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 3, 3, 1, 4, 0, 1, 1, 3, 0, 3, 2, 3, 2, 2, 1, 3, 0, 3, 0, 4, 2, 0, 0, 1, 2, 4, 0, 1, 3, 2, 2, 1, 4, 2, 1, 0, 4, 0, 3, 2, 3, 0, 1, 3, 2, 4, 1, 3, 0, 1, 0, 3, 4, 3, 2, 4, 3, 3, 0, 4, 0, 4, 2, 2, 4, 2, 1, 1, 2, 3, 1, 3, 0, 2, 4, 2, 4, 0, 3, 2, 1, 4, 3, 2, 3, 4, 1, 4, 1, 0, 4, 4, 0, 3, 4, 2, 0, 1, 0, 3, 4, 2, 3, 4, 3, 4, 0, 3, 0, 0, 0, 4, 0, 3, 4, 4, 3, 3, 3, 2, 4, 1, 3, 4, 1, 3, 4, 4, 3, 0, 4, 4, 2, 4, 0, 2, 4, 2] pubkeycol928 = [0, 1, 1, 1, 4, 3, 0, 2, 1, 4, 1, 1, 1, 4, 4, 4, 0, 4, 1, 1, 3, 2, 2, 3, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 4, 0, 2, 4, 1, 3, 3, 4, 0, 1, 4, 4, 3, 2, 0, 1, 3, 1, 0, 0, 1, 1, 1, 2, 4, 0, 1, 2, 3, 0, 3, 0, 4, 2, 2, 1, 0, 4, 1, 2, 4, 1, 4, 2, 2, 0, 4, 3, 2, 0, 1, 4, 0, 2, 1, 2, 1, 1, 1, 4, 1, 0, 2, 0, 2, 1, 2, 4, 0, 0, 2, 3, 2, 3, 3, 2, 4, 4, 0, 1, 4, 0, 4, 1, 1, 2, 2, 4, 1, 1, 4, 2, 0, 1, 3, 2, 3, 1, 3, 4, 3, 2, 4, 0, 2, 4, 4, 2, 4, 1, 4, 1, 0, 3, 3, 1, 0, 3, 0, 2, 4, 2, 3, 4, 4, 1, 2, 1, 2, 3, 0, 0, 2, 0, 1, 2, 2, 3, 1, 0, 3, 4, 0, 0, 3, 4, 0, 1, 0, 2, 0, 3, 2, 4, 3, 4, 0, 3, 2, 2, 4, 0, 4, 2, 2, 1, 2, 3, 4, 2, 1, 2, 1, 4, 0, 4, 4, 3, 2, 3, 2, 2, 0, 4, 3, 2, 2, 3, 1, 1, 1, 1, 2, 2, 2, 4, 2, 1, 0, 2, 3, 3, 4, 1, 4, 2, 3, 2, 3, 1, 2, 0, 3, 2, 2, 0, 0, 3, 3, 3, 4, 2, 3, 0, 1, 4, 2, 2, 0, 2, 2, 4, 4, 1, 4, 4, 3, 2, 2, 1, 3, 1, 3, 0, 0, 3, 2, 4, 0, 0, 3, 3, 3, 3, 2, 1, 0, 1, 3, 1, 3, 2, 2, 2, 2, 3, 0, 0, 1, 3, 2, 1, 1, 0, 0, 1, 3, 1, 2, 1, 0, 3, 4, 4, 4, 2, 1, 0, 4, 1, 4, 4, 1, 1, 1, 2, 1, 4, 4, 2, 2, 4, 0, 3, 3, 2, 4, 0, 0, 1, 3, 4, 1, 3, 4, 0, 4, 2, 0, 3, 1, 1, 1, 1, 0, 4, 4, 3, 2, 0, 4, 2, 1, 1, 2, 2, 0, 2, 0, 0, 3, 3, 2, 2, 3, 4, 0, 1, 1, 2, 0, 3, 3, 1, 3, 0, 1, 3, 1, 1, 2, 0, 3, 3, 4, 4, 0, 0, 4, 4, 1, 0, 4, 1, 4, 2, 3, 1, 2, 4, 0, 4, 2, 4, 3, 3, 4, 0, 4, 2, 4, 0, 1, 1, 0, 1, 3, 4, 3, 1, 0, 4, 1, 1, 3, 2, 3, 3, 2, 1, 1, 0, 2, 4, 1, 4, 2, 2, 4, 3, 4, 2, 4, 2, 4, 1, 3, 0, 3, 4, 1, 4, 0, 4, 4, 4, 3, 2, 3, 3, 0, 1, 3, 2, 4, 4] pubkeycol929 = [0, 3, 2, 2, 1, 1, 4, 1, 1, 0, 3, 1, 4, 1, 0, 0, 4, 2, 0, 4, 0, 4, 1, 0, 3, 0, 2, 4, 3, 1, 3, 0, 1, 3, 3, 4, 1, 2, 4, 1, 0, 3, 3, 0, 1, 1, 1, 2, 1, 4, 2, 4, 3, 3, 0, 4, 3, 3, 3, 3, 0, 1, 2, 3, 1, 2, 2, 4, 3, 0, 2, 3, 1, 3, 4, 3, 4, 2, 2, 1, 2, 4, 3, 0, 1, 0, 0, 0, 2, 4, 3, 2, 1, 4, 0, 1, 4, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 4, 3, 1, 4, 0, 1, 4, 3, 0, 0, 2, 2, 1, 0, 4, 0, 4, 1, 2, 0, 2, 2, 4, 1, 2, 3, 4, 0, 3, 0, 4, 0, 2, 0, 4, 2, 2, 4, 1, 0, 3, 3, 3, 0, 3, 3, 0, 4, 4, 1, 1, 4, 1, 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 0, 3, 3, 4, 2, 2, 2, 3, 1, 2, 2, 0, 0, 3, 0, 4, 2, 0, 2, 3, 0, 2, 4, 0, 4, 2, 0, 2, 2, 4, 0, 2, 4, 2, 2, 3, 2, 3, 3, 1, 3, 0, 2, 4, 1, 4, 3, 3, 1, 3, 0, 1, 4, 3, 0, 2, 0, 2, 1, 2, 0, 2, 3, 4, 0, 1, 2, 3, 0, 2, 3, 3, 0, 1, 4, 1, 0, 0, 4, 0, 1, 2, 3, 4, 1, 4, 3, 0, 4, 0, 3, 1, 1, 4, 4, 2, 4, 0, 1, 0, 2, 3, 2, 1, 2, 4, 1, 4, 0, 2, 0, 3, 0, 3, 2, 4, 3, 4, 0, 2, 1, 3, 4, 4, 1, 4, 1, 4, 2, 4, 0, 3, 2, 4, 4, 3, 1, 4, 1, 0, 0, 0, 3, 1, 0, 4, 2, 2, 0, 2, 2, 3, 4, 3, 1, 2, 0, 2, 3, 1, 1, 3, 1, 1, 4, 1, 4, 2, 3, 2, 4, 0, 2, 1, 1, 1, 1, 1, 3, 2, 0, 0, 3, 1, 4, 3, 1, 0, 4, 2, 3, 2, 3, 2, 3, 1, 3, 3, 1, 4, 0, 0, 3, 0, 4, 0, 0, 1, 0, 0, 2, 3, 1, 3, 1, 4, 0, 1, 0, 2, 3, 4, 2, 4, 3, 1, 2, 0, 2, 1, 3, 1, 4, 2, 2, 0, 3, 0, 1, 0, 0, 1, 2, 0, 2, 3, 2, 2, 3, 3, 4, 2, 1, 4, 3, 2, 4, 1, 0, 2, 3, 2, 2, 3, 0, 4, 3, 4, 0, 1, 0, 2, 2, 4, 4, 3, 0, 1, 1, 4, 4, 3, 3, 3, 4, 0, 1, 0, 4, 0, 3, 3, 2, 0, 2, 1, 2, 1, 4, 0, 3, 0, 2, 0, 2, 0, 0, 1, 1, 3] pubkeycol930 = [3, 4, 4, 3, 2, 3, 2, 2, 0, 4, 1, 0, 0, 0, 3, 0, 1, 1, 3, 1, 1, 1, 4, 0, 3, 4, 3, 0, 3, 4, 3, 4, 3, 1, 2, 4, 4, 3, 4, 2, 0, 4, 1, 0, 3, 1, 4, 3, 1, 3, 1, 2, 4, 0, 4, 2, 0, 0, 4, 1, 3, 3, 1, 1, 0, 0, 3, 0, 4, 4, 0, 4, 0, 0, 2, 1, 0, 0, 1, 1, 1, 4, 1, 4, 1, 1, 3, 1, 4, 3, 2, 3, 1, 1, 4, 0, 4, 3, 3, 0, 4, 3, 4, 4, 0, 0, 3, 0, 4, 2, 4, 4, 1, 1, 1, 3, 4, 0, 2, 4, 4, 3, 2, 0, 1, 1, 3, 4, 1, 1, 4, 1, 2, 2, 3, 4, 1, 1, 0, 4, 2, 1, 0, 4, 0, 2, 4, 4, 2, 0, 4, 4, 2, 0, 0, 4, 2, 1, 2, 0, 4, 2, 4, 0, 4, 0, 0, 0, 3, 2, 1, 2, 3, 4, 3, 3, 3, 3, 1, 2, 0, 3, 3, 0, 0, 4, 2, 2, 3, 4, 4, 2, 3, 0, 1, 1, 4, 2, 0, 1, 3, 0, 3, 4, 1, 2, 3, 3, 1, 1, 1, 4, 2, 3, 2, 1, 1, 2, 0, 2, 1, 1, 4, 0, 2, 2, 4, 3, 0, 0, 1, 2, 3, 1, 2, 2, 3, 4, 3, 4, 4, 4, 2, 3, 3, 3, 1, 3, 2, 3, 0, 4, 2, 4, 3, 3, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 4, 1, 4, 1, 4, 0, 1, 3, 4, 2, 4, 3, 3, 1, 3, 0, 2, 3, 4, 2, 2, 1, 0, 3, 0, 4, 3, 2, 1, 2, 0, 3, 2, 1, 0, 4, 2, 1, 2, 2, 0, 3, 3, 3, 3, 4, 1, 3, 3, 0, 4, 1, 1, 1, 1, 4, 0, 0, 1, 0, 3, 3, 4, 4, 2, 1, 0, 4, 4, 1, 0, 4, 3, 4, 3, 2, 1, 2, 4, 1, 4, 1, 2, 3, 0, 0, 4, 4, 4, 3, 4, 0, 3, 4, 4, 4, 0, 0, 3, 2, 0, 2, 4, 2, 1, 4, 3, 1, 4, 2, 4, 0, 4, 3, 4, 4, 3, 3, 2, 2, 1, 1, 2, 3, 0, 1, 4, 1, 0, 3, 4, 1, 1, 0, 0, 0, 4, 2, 2, 4, 2, 4, 4, 0, 3, 1, 2, 0, 3, 3, 1, 3, 2, 3, 0, 4, 3, 4, 4, 0, 3, 0, 0, 3, 4, 3, 3, 1, 3, 1, 0, 2, 4, 2, 0, 3, 4, 4, 0, 4, 3, 4, 0, 3, 3, 3, 3, 2, 4, 2, 3, 3, 1, 0, 1, 4, 4, 3, 4, 2, 0, 1, 0, 4, 4, 0, 1, 1, 3, 3, 4, 0, 4, 0] pubkeycol931 = [4, 2, 1, 3, 3, 1, 3, 4, 4, 3, 0, 4, 2, 4, 0, 2, 1, 3, 0, 0, 1, 2, 2, 4, 0, 4, 2, 3, 2, 2, 4, 0, 0, 4, 1, 3, 2, 0, 4, 2, 4, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 4, 1, 3, 2, 1, 1, 2, 1, 1, 1, 3, 4, 4, 3, 1, 4, 2, 1, 1, 1, 3, 2, 1, 4, 4, 4, 3, 4, 3, 3, 3, 0, 1, 3, 3, 3, 3, 3, 0, 1, 0, 3, 1, 4, 2, 3, 1, 2, 3, 2, 4, 3, 0, 0, 1, 0, 4, 4, 2, 0, 2, 1, 1, 2, 4, 3, 1, 3, 4, 3, 4, 2, 1, 3, 1, 4, 4, 1, 4, 4, 3, 2, 1, 2, 2, 2, 2, 4, 1, 1, 4, 2, 2, 1, 4, 0, 4, 4, 2, 0, 0, 0, 3, 4, 3, 2, 0, 2, 1, 3, 3, 0, 3, 0, 1, 2, 0, 0, 3, 1, 2, 4, 0, 0, 0, 4, 2, 4, 0, 0, 0, 4, 2, 3, 0, 4, 1, 1, 0, 2, 3, 0, 0, 2, 2, 2, 4, 1, 4, 1, 2, 2, 4, 3, 3, 2, 1, 4, 4, 1, 2, 3, 4, 0, 3, 1, 0, 3, 0, 1, 0, 3, 1, 0, 2, 2, 1, 3, 0, 4, 3, 2, 3, 0, 2, 3, 4, 0, 0, 3, 0, 3, 1, 4, 4, 2, 4, 4, 4, 1, 3, 3, 4, 1, 2, 3, 0, 0, 1, 0, 3, 3, 2, 0, 0, 1, 2, 3, 3, 3, 4, 3, 2, 0, 2, 2, 2, 2, 1, 1, 0, 3, 3, 1, 1, 3, 3, 0, 3, 0, 0, 2, 1, 2, 0, 4, 2, 4, 4, 3, 3, 4, 2, 4, 1, 2, 4, 2, 1, 3, 0, 3, 2, 2, 0, 2, 4, 1, 3, 4, 2, 2, 4, 3, 0, 4, 2, 2, 3, 1, 4, 4, 1, 0, 4, 1, 4, 2, 4, 2, 4, 0, 2, 3, 4, 0, 3, 1, 2, 0, 3, 0, 2, 3, 2, 1, 4, 3, 4, 3, 0, 3, 0, 4, 4, 1, 0, 1, 2, 1, 0, 4, 0, 0, 1, 3, 1, 2, 3, 0, 3, 3, 4, 4, 2, 1, 2, 2, 2, 1, 4, 3, 2, 0, 3, 2, 3, 0, 1, 3, 4, 2, 4, 4, 3, 4, 3, 0, 4, 0, 3, 3, 0, 2, 4, 0, 3, 3, 0, 0, 0, 0, 1, 3, 3, 1, 3, 3, 4, 2, 4, 3, 3, 0, 4, 2, 4, 1, 2, 3, 3, 2, 2, 4, 4, 1, 0, 0, 3, 1, 4, 3, 4, 0, 0, 1, 4, 0, 4, 0, 1, 4, 2, 0, 0, 3, 3, 2, 2, 4, 0, 4, 1, 3, 2, 2, 4, 3, 0] pubkeycol932 = [0, 0, 2, 3, 4, 2, 4, 1, 3, 1, 4, 2, 1, 0, 4, 1, 2, 0, 0, 4, 2, 3, 1, 0, 4, 3, 2, 1, 4, 2, 3, 4, 4, 2, 4, 0, 1, 0, 1, 2, 1, 3, 3, 3, 0, 1, 3, 1, 2, 4, 0, 4, 0, 3, 3, 3, 2, 1, 2, 4, 2, 0, 1, 0, 3, 3, 3, 3, 4, 2, 1, 4, 1, 0, 2, 2, 0, 4, 4, 1, 3, 4, 4, 4, 4, 1, 4, 1, 3, 2, 4, 1, 2, 2, 1, 2, 1, 0, 3, 4, 4, 3, 4, 2, 3, 3, 1, 4, 3, 2, 3, 2, 2, 3, 1, 1, 1, 1, 4, 3, 0, 3, 4, 3, 1, 4, 2, 3, 0, 4, 2, 2, 3, 3, 0, 3, 3, 3, 4, 2, 3, 3, 0, 3, 3, 2, 0, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 4, 3, 3, 1, 0, 0, 0, 0, 3, 3, 0, 4, 1, 3, 0, 0, 2, 2, 4, 3, 3, 4, 1, 3, 0, 1, 3, 2, 0, 1, 2, 4, 1, 4, 1, 4, 0, 0, 0, 2, 4, 2, 4, 1, 1, 3, 4, 3, 0, 4, 0, 1, 2, 2, 3, 3, 1, 4, 3, 4, 3, 3, 2, 1, 2, 2, 3, 1, 4, 3, 2, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 4, 1, 3, 1, 2, 4, 1, 4, 2, 2, 0, 2, 3, 4, 3, 2, 0, 2, 1, 2, 2, 4, 4, 1, 2, 4, 1, 3, 3, 4, 0, 4, 4, 2, 4, 1, 4, 0, 3, 3, 1, 1, 4, 0, 3, 2, 1, 4, 3, 0, 1, 3, 2, 2, 2, 3, 3, 1, 2, 0, 3, 3, 2, 4, 1, 3, 3, 2, 2, 3, 0, 3, 0, 2, 4, 0, 1, 3, 2, 3, 2, 1, 3, 1, 2, 1, 1, 2, 4, 4, 4, 4, 0, 3, 4, 4, 1, 1, 4, 4, 2, 4, 1, 3, 3, 3, 1, 2, 0, 1, 1, 4, 2, 1, 0, 1, 0, 2, 4, 0, 4, 0, 2, 3, 2, 4, 2, 0, 3, 0, 0, 4, 0, 3, 3, 4, 0, 1, 0, 3, 3, 0, 2, 4, 4, 1, 4, 4, 1, 2, 2, 2, 3, 0, 4, 4, 1, 1, 3, 0, 4, 4, 4, 3, 2, 4, 0, 3, 3, 0, 1, 0, 3, 3, 4, 4, 1, 4, 1, 4, 4, 2, 0, 3, 4, 2, 1, 0, 1, 3, 4, 0, 2, 1, 2, 1, 2, 4, 3, 1, 3, 1, 0, 2, 1, 3, 4, 4, 4, 2, 0, 0, 2, 3, 3, 3, 3, 4, 0, 1, 2, 1, 1, 2, 3, 0, 2, 1, 0, 3, 4, 0, 2, 1, 3, 4, 4, 1, 0, 0, 2] pubkeycol933 = [3, 4, 0, 2, 3, 1, 3, 0, 0, 1, 2, 1, 0, 0, 3, 1, 4, 4, 4, 2, 0, 4, 4, 1, 2, 2, 1, 1, 2, 3, 4, 0, 3, 2, 4, 4, 3, 1, 1, 0, 4, 3, 2, 4, 0, 2, 2, 3, 3, 1, 2, 3, 3, 4, 2, 2, 0, 3, 3, 4, 4, 0, 0, 4, 1, 2, 3, 2, 3, 4, 2, 2, 4, 4, 3, 0, 2, 0, 4, 1, 0, 0, 1, 1, 4, 2, 1, 3, 3, 2, 2, 4, 0, 4, 2, 4, 0, 0, 1, 0, 2, 1, 2, 2, 3, 1, 0, 1, 2, 2, 3, 1, 2, 0, 3, 4, 4, 2, 0, 1, 2, 4, 0, 2, 1, 3, 0, 1, 2, 4, 0, 0, 4, 3, 1, 2, 1, 3, 0, 1, 1, 0, 0, 3, 4, 3, 3, 1, 3, 3, 2, 4, 0, 3, 3, 2, 0, 1, 3, 2, 4, 4, 3, 2, 0, 4, 4, 1, 2, 1, 1, 2, 0, 3, 4, 0, 2, 1, 1, 0, 2, 4, 0, 0, 4, 3, 2, 0, 0, 2, 0, 0, 2, 4, 1, 1, 4, 4, 3, 0, 1, 0, 2, 4, 4, 4, 3, 0, 3, 0, 2, 4, 3, 2, 0, 4, 3, 3, 2, 1, 4, 2, 2, 4, 2, 3, 2, 1, 2, 3, 4, 0, 1, 1, 0, 4, 2, 4, 0, 4, 3, 3, 2, 3, 2, 4, 4, 2, 4, 3, 3, 4, 0, 4, 0, 3, 0, 0, 4, 0, 2, 3, 1, 0, 4, 4, 0, 1, 3, 1, 1, 1, 4, 0, 3, 4, 3, 0, 4, 1, 0, 1, 0, 1, 0, 2, 1, 4, 4, 4, 0, 2, 3, 4, 3, 1, 3, 4, 0, 1, 3, 0, 3, 2, 1, 4, 3, 3, 1, 4, 0, 2, 2, 1, 3, 4, 0, 3, 1, 4, 4, 0, 3, 0, 4, 0, 3, 4, 2, 0, 4, 4, 4, 4, 1, 1, 3, 2, 0, 3, 4, 4, 1, 0, 3, 3, 4, 2, 4, 2, 3, 1, 3, 3, 1, 1, 0, 2, 3, 2, 0, 4, 1, 0, 4, 4, 2, 4, 4, 4, 3, 3, 0, 3, 2, 2, 4, 0, 4, 1, 3, 3, 4, 2, 1, 0, 0, 0, 1, 4, 2, 0, 4, 2, 4, 2, 4, 0, 1, 1, 1, 1, 2, 3, 3, 4, 4, 2, 1, 0, 2, 0, 3, 3, 4, 3, 1, 2, 3, 4, 2, 2, 2, 4, 0, 0, 2, 3, 2, 3, 4, 3, 1, 2, 2, 1, 3, 0, 4, 2, 0, 2, 4, 3, 0, 3, 2, 4, 3, 1, 4, 4, 2, 2, 0, 1, 4, 1, 3, 1, 1, 0, 0, 0, 3, 1, 1, 1, 2, 0, 4, 3, 0, 4, 0, 3, 2, 2, 3, 2] pubkeycol934 = [2, 0, 2, 1, 0, 3, 0, 1, 1, 3, 3, 4, 0, 0, 2, 1, 2, 3, 0, 1, 2, 3, 1, 1, 0, 3, 4, 1, 1, 1, 0, 2, 2, 4, 1, 1, 3, 1, 3, 3, 2, 4, 4, 1, 1, 4, 1, 1, 0, 4, 3, 1, 4, 3, 4, 3, 4, 1, 1, 0, 1, 4, 3, 2, 1, 2, 4, 3, 4, 1, 1, 2, 0, 2, 0, 3, 1, 1, 0, 1, 3, 4, 2, 3, 1, 2, 1, 1, 0, 3, 1, 4, 2, 4, 1, 2, 3, 4, 1, 3, 4, 4, 3, 3, 0, 2, 2, 1, 0, 4, 0, 3, 3, 2, 0, 1, 1, 4, 4, 2, 0, 2, 3, 0, 2, 3, 4, 1, 1, 1, 3, 0, 1, 1, 2, 4, 1, 0, 3, 0, 3, 1, 4, 4, 1, 2, 0, 0, 2, 1, 0, 1, 0, 3, 0, 0, 0, 2, 1, 2, 1, 0, 3, 1, 3, 4, 3, 3, 3, 1, 3, 3, 3, 3, 0, 1, 0, 0, 2, 1, 4, 0, 1, 3, 4, 1, 0, 1, 2, 0, 4, 0, 2, 1, 3, 4, 4, 3, 1, 2, 4, 0, 1, 2, 4, 4, 2, 0, 0, 4, 1, 3, 2, 3, 2, 1, 1, 4, 2, 3, 4, 1, 3, 4, 2, 4, 4, 2, 3, 0, 0, 2, 2, 1, 4, 3, 3, 3, 2, 1, 3, 4, 0, 4, 1, 4, 3, 3, 2, 3, 1, 1, 4, 1, 0, 1, 3, 1, 4, 2, 0, 1, 2, 2, 3, 2, 4, 3, 4, 1, 4, 0, 0, 0, 3, 2, 3, 3, 4, 4, 3, 0, 3, 2, 3, 1, 0, 4, 4, 1, 1, 2, 0, 4, 1, 2, 0, 3, 2, 4, 4, 1, 4, 1, 0, 1, 4, 4, 4, 4, 0, 1, 3, 4, 0, 2, 0, 2, 2, 4, 4, 0, 3, 3, 2, 2, 1, 4, 2, 1, 4, 2, 0, 3, 4, 1, 0, 1, 2, 3, 0, 4, 3, 3, 3, 4, 1, 4, 3, 2, 3, 4, 2, 0, 3, 2, 3, 1, 4, 4, 0, 3, 1, 4, 2, 4, 4, 4, 2, 4, 0, 0, 3, 4, 2, 1, 2, 0, 3, 0, 1, 3, 1, 3, 2, 3, 4, 2, 0, 0, 1, 4, 0, 3, 0, 4, 2, 2, 0, 0, 3, 3, 1, 0, 2, 1, 2, 4, 1, 3, 4, 1, 0, 0, 0, 1, 1, 1, 1, 0, 4, 3, 0, 2, 0, 0, 2, 1, 0, 2, 3, 2, 3, 2, 4, 3, 1, 1, 4, 3, 4, 0, 0, 3, 3, 2, 0, 1, 4, 3, 3, 1, 2, 0, 3, 3, 4, 0, 0, 0, 2, 2, 1, 3, 1, 1, 4, 2, 4, 4, 4, 3, 4, 1, 2, 2, 2, 0, 0, 2] pubkeycol935 = [0, 2, 0, 2, 2, 3, 0, 1, 3, 1, 3, 4, 2, 3, 0, 3, 4, 0, 2, 2, 1, 1, 4, 1, 3, 3, 3, 0, 3, 4, 1, 2, 4, 1, 3, 2, 0, 0, 0, 3, 1, 0, 0, 4, 4, 1, 3, 3, 1, 1, 4, 3, 0, 1, 1, 0, 1, 4, 3, 3, 0, 0, 1, 0, 1, 4, 4, 4, 0, 4, 4, 0, 1, 3, 0, 2, 1, 1, 3, 4, 0, 3, 2, 3, 4, 1, 4, 1, 0, 3, 2, 4, 2, 0, 2, 2, 0, 2, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 2, 0, 4, 4, 0, 0, 0, 4, 3, 3, 3, 1, 4, 4, 4, 1, 3, 2, 0, 1, 4, 4, 2, 4, 0, 2, 4, 3, 2, 4, 2, 3, 2, 1, 4, 0, 1, 2, 3, 1, 2, 0, 3, 4, 1, 3, 4, 1, 1, 4, 2, 2, 0, 2, 4, 0, 4, 3, 3, 2, 4, 1, 3, 4, 0, 2, 4, 4, 0, 1, 4, 0, 2, 1, 0, 0, 3, 2, 3, 4, 2, 4, 4, 0, 1, 1, 4, 3, 4, 1, 2, 1, 2, 2, 4, 2, 1, 2, 2, 2, 4, 4, 1, 0, 0, 1, 0, 4, 1, 1, 0, 1, 2, 0, 2, 2, 3, 4, 4, 2, 2, 1, 3, 2, 2, 2, 3, 4, 0, 4, 4, 3, 1, 3, 0, 4, 3, 0, 3, 2, 3, 3, 3, 0, 0, 0, 3, 3, 4, 1, 0, 1, 3, 4, 1, 0, 1, 0, 3, 1, 0, 1, 2, 4, 3, 3, 3, 3, 0, 1, 1, 1, 0, 0, 1, 2, 3, 2, 4, 1, 3, 2, 0, 3, 0, 4, 4, 1, 0, 3, 2, 2, 0, 1, 3, 0, 2, 1, 0, 0, 4, 2, 3, 0, 1, 1, 2, 2, 2, 2, 4, 2, 1, 1, 1, 4, 3, 3, 0, 4, 0, 3, 1, 4, 0, 2, 1, 1, 1, 4, 4, 3, 1, 2, 1, 0, 2, 2, 2, 2, 3, 2, 3, 4, 4, 1, 2, 1, 0, 0, 4, 3, 0, 3, 1, 2, 1, 1, 3, 3, 1, 4, 3, 3, 4, 0, 2, 2, 2, 2, 0, 2, 1, 1, 3, 1, 3, 0, 1, 1, 0, 1, 3, 1, 3, 0, 1, 0, 2, 4, 4, 3, 2, 4, 2, 4, 4, 2, 4, 0, 3, 3, 1, 1, 0, 1, 3, 4, 3, 0, 0, 0, 2, 2, 4, 3, 3, 0, 4, 0, 2, 3, 1, 2, 3, 2, 2, 1, 3, 4, 0, 3, 2, 4, 1, 4, 4, 3, 3, 3, 4, 3, 3, 1, 4, 4, 4, 4, 4, 4, 3, 0, 2, 2, 2, 3, 3, 0, 0, 2, 1, 1, 4, 0, 3, 3, 4, 0, 1, 4, 3] pubkeycol936 = [2, 1, 0, 1, 0, 3, 1, 3, 0, 0, 0, 4, 3, 3, 0, 1, 0, 1, 3, 3, 1, 4, 1, 2, 3, 2, 3, 3, 1, 2, 4, 3, 3, 1, 3, 3, 1, 2, 2, 4, 2, 4, 4, 2, 4, 3, 3, 0, 0, 3, 0, 4, 3, 0, 3, 3, 4, 4, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 4, 3, 1, 0, 2, 1, 4, 3, 0, 0, 0, 2, 0, 1, 0, 3, 3, 1, 4, 3, 3, 4, 2, 3, 0, 2, 3, 3, 3, 0, 1, 1, 2, 0, 3, 0, 0, 0, 4, 1, 0, 1, 1, 4, 0, 0, 4, 0, 2, 1, 3, 4, 4, 2, 3, 1, 0, 1, 3, 3, 4, 2, 4, 1, 0, 3, 4, 0, 3, 3, 3, 0, 0, 4, 3, 3, 1, 4, 0, 3, 3, 2, 1, 2, 3, 1, 1, 4, 2, 3, 2, 2, 4, 1, 0, 2, 4, 3, 4, 4, 2, 0, 4, 2, 2, 0, 1, 1, 3, 4, 0, 4, 0, 1, 0, 1, 4, 3, 4, 0, 1, 1, 3, 2, 2, 0, 2, 4, 0, 2, 3, 3, 0, 3, 3, 0, 2, 0, 0, 0, 3, 1, 1, 2, 2, 2, 2, 1, 4, 4, 3, 2, 1, 2, 3, 1, 2, 1, 0, 3, 0, 0, 3, 2, 2, 1, 3, 3, 0, 3, 1, 0, 4, 3, 0, 3, 3, 0, 1, 0, 2, 0, 0, 0, 2, 2, 3, 1, 3, 1, 1, 0, 4, 4, 0, 1, 2, 3, 4, 1, 1, 3, 3, 0, 3, 4, 3, 1, 0, 3, 1, 2, 4, 4, 0, 1, 0, 2, 0, 2, 0, 1, 2, 3, 3, 3, 2, 3, 0, 1, 0, 1, 3, 1, 1, 2, 4, 4, 4, 2, 2, 0, 0, 0, 3, 2, 4, 2, 2, 1, 2, 0, 0, 1, 4, 2, 2, 3, 0, 4, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 1, 2, 1, 0, 4, 2, 3, 1, 4, 2, 2, 1, 2, 4, 2, 3, 0, 2, 2, 3, 1, 2, 0, 1, 1, 2, 3, 0, 0, 1, 3, 2, 0, 2, 0, 0, 2, 2, 0, 3, 3, 4, 1, 0, 2, 1, 3, 4, 2, 4, 3, 4, 1, 0, 0, 4, 2, 2, 4, 1, 4, 2, 2, 3, 1, 4, 0, 4, 4, 3, 0, 1, 4, 4, 3, 4, 2, 2, 1, 4, 4, 4, 0, 1, 3, 4, 0, 3, 4, 4, 2, 0, 4, 4, 1, 3, 1, 4, 0, 4, 1, 3, 4, 0, 1, 1, 3, 1, 3, 2, 4, 0, 1, 0, 3, 2, 0, 4, 3, 3, 1, 4, 4, 0, 1, 4, 3, 0, 0, 3, 1, 2, 1, 4, 2, 4, 0, 1, 4, 0] pubkeycol937 = [2, 3, 3, 0, 4, 0, 4, 2, 1, 4, 3, 1, 0, 2, 4, 3, 1, 0, 2, 0, 4, 3, 3, 3, 0, 4, 3, 2, 1, 1, 2, 2, 0, 0, 1, 1, 4, 2, 3, 0, 0, 2, 3, 2, 0, 2, 0, 2, 2, 1, 3, 1, 1, 4, 4, 4, 1, 1, 4, 3, 4, 1, 2, 0, 3, 3, 1, 2, 2, 1, 3, 2, 1, 4, 2, 4, 3, 2, 3, 3, 2, 0, 4, 1, 3, 0, 0, 0, 4, 0, 0, 3, 3, 2, 3, 1, 2, 0, 3, 1, 2, 0, 2, 1, 4, 2, 2, 4, 1, 1, 1, 1, 3, 2, 0, 3, 0, 2, 4, 3, 2, 1, 4, 3, 3, 3, 4, 4, 0, 4, 3, 1, 4, 2, 4, 4, 1, 4, 1, 3, 1, 2, 2, 3, 2, 4, 0, 1, 4, 1, 2, 4, 0, 3, 3, 1, 2, 4, 3, 1, 4, 3, 4, 0, 1, 2, 2, 3, 1, 0, 4, 2, 0, 1, 2, 0, 3, 3, 2, 0, 1, 4, 3, 1, 1, 4, 2, 3, 3, 4, 4, 0, 3, 0, 4, 0, 4, 2, 4, 3, 1, 0, 4, 4, 3, 3, 2, 4, 4, 3, 3, 3, 4, 0, 3, 2, 4, 2, 3, 4, 2, 2, 3, 4, 1, 1, 3, 2, 0, 4, 1, 3, 1, 1, 4, 2, 3, 4, 2, 3, 3, 4, 2, 1, 0, 3, 1, 1, 4, 2, 0, 3, 3, 4, 1, 3, 3, 1, 4, 4, 4, 2, 2, 0, 2, 1, 3, 0, 0, 2, 0, 2, 2, 0, 3, 0, 1, 0, 4, 3, 4, 3, 0, 1, 2, 3, 3, 3, 4, 2, 1, 4, 3, 3, 0, 2, 3, 4, 4, 1, 1, 4, 2, 3, 0, 3, 0, 4, 1, 4, 1, 1, 1, 1, 2, 3, 2, 1, 2, 0, 3, 0, 1, 3, 2, 3, 0, 2, 4, 3, 2, 1, 0, 2, 2, 3, 1, 3, 0, 2, 0, 3, 3, 2, 3, 0, 2, 0, 4, 0, 3, 2, 0, 4, 0, 2, 0, 3, 2, 1, 0, 4, 1, 0, 3, 3, 1, 2, 3, 3, 2, 1, 2, 3, 3, 2, 0, 4, 4, 3, 3, 1, 1, 3, 1, 2, 3, 0, 3, 0, 3, 3, 0, 0, 3, 2, 0, 0, 4, 2, 2, 3, 3, 0, 2, 4, 3, 1, 0, 2, 3, 0, 2, 2, 3, 3, 3, 4, 4, 0, 2, 1, 2, 4, 4, 0, 4, 0, 3, 0, 1, 4, 3, 2, 1, 1, 2, 4, 2, 1, 0, 4, 3, 0, 3, 4, 3, 1, 1, 3, 0, 2, 2, 0, 4, 1, 3, 3, 0, 4, 3, 2, 3, 4, 2, 2, 1, 3, 4, 0, 0, 4, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol938 = [3, 3, 3, 4, 0, 2, 2, 4, 0, 1, 3, 0, 1, 2, 0, 0, 4, 0, 2, 4, 0, 2, 3, 2, 2, 4, 0, 2, 1, 3, 1, 0, 2, 2, 0, 3, 1, 2, 2, 3, 0, 1, 4, 3, 4, 2, 2, 3, 0, 3, 0, 4, 1, 2, 0, 3, 4, 0, 3, 2, 4, 3, 1, 3, 4, 0, 4, 0, 4, 4, 4, 0, 2, 0, 2, 2, 1, 2, 1, 2, 4, 2, 0, 2, 2, 3, 2, 3, 3, 1, 2, 0, 1, 3, 3, 1, 0, 0, 2, 3, 4, 3, 2, 2, 3, 3, 4, 0, 0, 3, 1, 4, 0, 3, 0, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 2, 1, 3, 4, 4, 0, 4, 1, 1, 4, 3, 1, 0, 3, 3, 4, 2, 0, 0, 0, 2, 0, 0, 4, 0, 2, 0, 4, 2, 2, 1, 1, 4, 0, 3, 4, 0, 4, 2, 4, 3, 4, 0, 3, 1, 1, 3, 0, 0, 2, 3, 0, 1, 0, 2, 4, 0, 0, 4, 1, 1, 0, 4, 1, 4, 3, 2, 3, 0, 1, 3, 1, 1, 4, 2, 1, 4, 4, 1, 0, 4, 1, 3, 3, 1, 3, 0, 2, 4, 4, 3, 3, 0, 4, 1, 0, 1, 4, 4, 4, 2, 1, 1, 0, 4, 1, 4, 0, 3, 4, 4, 4, 4, 3, 4, 2, 2, 3, 4, 2, 0, 2, 3, 3, 3, 3, 4, 0, 3, 4, 3, 2, 4, 0, 0, 2, 0, 0, 3, 4, 3, 3, 4, 2, 2, 4, 4, 1, 2, 3, 2, 1, 3, 1, 2, 3, 0, 1, 4, 0, 1, 2, 3, 0, 3, 1, 4, 2, 1, 3, 1, 1, 3, 2, 0, 0, 1, 3, 3, 2, 4, 0, 3, 1, 1, 2, 3, 4, 3, 3, 0, 2, 2, 3, 0, 1, 2, 4, 4, 4, 4, 3, 1, 0, 0, 3, 4, 3, 2, 4, 4, 3, 2, 0, 0, 0, 0, 3, 4, 4, 2, 1, 3, 3, 3, 4, 1, 1, 1, 2, 1, 1, 0, 2, 3, 4, 1, 0, 1, 1, 2, 2, 2, 3, 2, 4, 3, 3, 1, 3, 0, 4, 3, 0, 4, 3, 4, 0, 4, 3, 4, 4, 4, 2, 4, 0, 4, 3, 4, 1, 0, 3, 3, 1, 4, 3, 1, 0, 0, 4, 4, 4, 0, 3, 1, 1, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 3, 3, 2, 2, 3, 1, 3, 3, 4, 1, 4, 2, 2, 1, 0, 2, 4, 2, 2, 3, 0, 3, 4, 2, 0, 3, 2, 2, 0, 0, 0, 4, 2, 0, 3, 3, 1, 1, 1, 3, 1, 2, 2, 2, 4, 4, 4, 2, 2, 1, 3, 0, 4, 3, 4, 3, 4, 4] pubkeycol939 = [2, 3, 2, 0, 2, 1, 0, 4, 0, 2, 0, 0, 0, 2, 1, 0, 4, 0, 1, 1, 3, 3, 3, 2, 3, 4, 1, 4, 3, 0, 1, 4, 0, 4, 2, 2, 3, 2, 3, 1, 4, 0, 3, 3, 2, 0, 2, 0, 1, 3, 2, 3, 1, 1, 3, 4, 0, 3, 2, 0, 3, 4, 3, 3, 4, 0, 1, 2, 4, 2, 1, 2, 1, 2, 1, 3, 4, 3, 3, 4, 1, 4, 2, 3, 1, 2, 4, 3, 0, 3, 3, 1, 4, 3, 2, 0, 3, 1, 0, 2, 4, 2, 2, 3, 0, 3, 1, 4, 0, 4, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 0, 4, 1, 0, 4, 1, 4, 4, 2, 1, 2, 3, 0, 2, 0, 2, 1, 0, 2, 4, 1, 3, 4, 1, 3, 0, 1, 3, 4, 2, 0, 1, 0, 2, 2, 2, 4, 1, 4, 2, 4, 2, 3, 1, 4, 4, 1, 0, 1, 3, 3, 3, 2, 2, 1, 2, 1, 1, 0, 2, 4, 0, 1, 3, 4, 1, 2, 1, 0, 0, 2, 2, 2, 3, 0, 3, 0, 2, 1, 0, 4, 0, 2, 3, 4, 2, 4, 1, 3, 3, 3, 4, 2, 2, 3, 1, 4, 1, 3, 3, 3, 3, 2, 0, 0, 1, 1, 2, 4, 3, 0, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 3, 4, 1, 4, 4, 0, 3, 1, 4, 2, 4, 1, 2, 2, 3, 0, 0, 3, 4, 4, 0, 3, 3, 4, 2, 2, 4, 4, 2, 4, 2, 2, 1, 4, 4, 0, 3, 3, 3, 1, 0, 3, 2, 1, 2, 4, 1, 2, 3, 1, 1, 4, 3, 4, 3, 0, 0, 0, 1, 1, 1, 3, 4, 3, 2, 4, 3, 1, 2, 0, 0, 3, 4, 2, 4, 3, 2, 2, 3, 3, 4, 0, 2, 0, 1, 0, 0, 1, 0, 4, 2, 2, 0, 1, 1, 1, 4, 4, 4, 0, 1, 4, 3, 3, 0, 2, 0, 4, 2, 1, 4, 1, 4, 4, 0, 3, 3, 3, 3, 0, 4, 2, 0, 3, 2, 4, 4, 4, 0, 2, 1, 4, 4, 4, 4, 4, 0, 4, 2, 0, 4, 2, 2, 2, 0, 3, 4, 1, 0, 1, 1, 0, 4, 4, 4, 3, 3, 3, 0, 1, 4, 4, 4, 0, 2, 2, 2, 4, 0, 2, 4, 0, 4, 3, 3, 1, 2, 1, 0, 2, 2, 3, 1, 0, 2, 0, 1, 2, 2, 4, 0, 1, 0, 4, 2, 1, 2, 1, 4, 1, 4, 2, 3, 4, 3, 1, 2, 4, 4, 1, 0, 3, 1, 3, 3, 4, 3, 4, 4, 3, 3, 4, 2, 4, 0, 2, 0, 1, 0, 0, 3, 4, 3, 2, 3, 1, 0] pubkeycol940 = [3, 4, 0, 3, 3, 0, 2, 4, 3, 3, 0, 3, 0, 2, 3, 1, 0, 3, 2, 2, 2, 0, 2, 2, 3, 1, 1, 0, 4, 3, 4, 4, 0, 2, 4, 2, 0, 3, 0, 2, 1, 3, 4, 4, 0, 4, 3, 0, 4, 4, 0, 2, 3, 3, 0, 0, 0, 3, 1, 4, 2, 4, 0, 0, 4, 2, 2, 4, 3, 3, 3, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 3, 1, 2, 4, 2, 0, 1, 3, 2, 0, 3, 1, 0, 4, 4, 4, 3, 4, 4, 4, 4, 1, 2, 1, 4, 1, 4, 0, 1, 2, 0, 3, 1, 2, 1, 1, 4, 3, 0, 4, 1, 3, 3, 2, 3, 0, 1, 0, 4, 1, 1, 3, 1, 4, 0, 1, 1, 1, 0, 2, 1, 3, 1, 4, 4, 1, 3, 3, 2, 3, 4, 3, 3, 2, 0, 1, 3, 1, 4, 0, 3, 0, 0, 3, 2, 4, 1, 4, 2, 4, 0, 0, 4, 3, 0, 2, 2, 3, 1, 1, 1, 2, 3, 3, 2, 4, 4, 3, 4, 4, 1, 3, 2, 3, 1, 0, 2, 0, 4, 2, 0, 4, 0, 2, 0, 3, 4, 1, 2, 1, 3, 3, 1, 1, 0, 1, 0, 2, 3, 4, 0, 1, 2, 2, 3, 3, 4, 3, 3, 1, 3, 2, 1, 3, 3, 4, 1, 1, 3, 1, 1, 4, 0, 2, 2, 4, 4, 2, 3, 1, 0, 3, 0, 4, 2, 4, 3, 1, 0, 4, 2, 4, 1, 3, 3, 4, 1, 0, 2, 0, 0, 3, 0, 3, 0, 2, 0, 4, 3, 4, 3, 3, 2, 1, 0, 4, 0, 2, 3, 0, 3, 4, 1, 1, 0, 4, 0, 3, 0, 2, 1, 4, 0, 2, 3, 4, 2, 0, 3, 1, 4, 3, 3, 4, 0, 2, 4, 2, 2, 2, 4, 4, 1, 4, 0, 1, 2, 4, 2, 0, 2, 2, 4, 0, 1, 3, 0, 3, 1, 3, 3, 1, 4, 3, 1, 3, 1, 3, 3, 1, 2, 4, 2, 1, 0, 1, 0, 1, 4, 3, 2, 4, 3, 2, 4, 2, 1, 1, 0, 1, 4, 4, 4, 1, 0, 4, 1, 3, 1, 2, 2, 3, 1, 2, 2, 2, 0, 2, 0, 3, 0, 2, 4, 0, 1, 3, 0, 0, 0, 3, 0, 0, 0, 4, 2, 1, 4, 2, 4, 1, 2, 3, 0, 4, 3, 1, 1, 0, 3, 4, 3, 3, 1, 2, 0, 0, 3, 3, 3, 1, 0, 4, 3, 4, 4, 2, 3, 3, 2, 4, 3, 0, 3, 1, 2, 1, 3, 1, 4, 0, 0, 0, 0, 4, 4, 0, 2, 2, 2, 4, 0, 0, 0, 2, 1, 1, 0, 1, 2, 3, 4, 4, 0, 4] pubkeycol941 = [1, 3, 0, 0, 4, 1, 3, 3, 4, 1, 1, 3, 4, 0, 4, 0, 2, 3, 3, 2, 3, 1, 3, 3, 0, 0, 3, 4, 3, 0, 3, 2, 3, 3, 4, 4, 1, 1, 0, 0, 0, 1, 2, 2, 4, 4, 1, 3, 2, 2, 3, 3, 3, 4, 3, 2, 1, 1, 4, 2, 2, 0, 2, 4, 0, 2, 2, 3, 4, 3, 0, 0, 3, 2, 0, 3, 3, 2, 0, 1, 1, 4, 0, 2, 0, 0, 2, 0, 0, 2, 4, 3, 0, 2, 2, 0, 2, 2, 3, 3, 4, 0, 3, 2, 3, 1, 0, 4, 0, 4, 1, 2, 2, 1, 3, 0, 1, 1, 1, 1, 0, 0, 1, 3, 1, 3, 0, 4, 3, 4, 4, 0, 0, 3, 1, 2, 4, 2, 2, 0, 4, 3, 2, 3, 4, 3, 4, 0, 0, 3, 2, 1, 2, 4, 4, 1, 4, 2, 3, 2, 1, 0, 2, 3, 0, 3, 0, 2, 3, 4, 3, 0, 2, 0, 3, 0, 3, 3, 4, 2, 1, 2, 1, 4, 2, 2, 2, 3, 3, 4, 0, 1, 4, 4, 0, 0, 0, 3, 3, 4, 4, 4, 0, 3, 3, 2, 1, 1, 0, 1, 0, 3, 0, 0, 4, 4, 4, 4, 1, 2, 0, 1, 2, 3, 4, 1, 0, 4, 2, 2, 1, 0, 3, 1, 0, 4, 3, 0, 2, 0, 1, 2, 3, 0, 2, 0, 1, 2, 3, 3, 4, 0, 1, 1, 2, 4, 2, 0, 0, 0, 1, 0, 2, 3, 1, 2, 2, 2, 4, 1, 3, 0, 4, 3, 4, 1, 4, 4, 1, 1, 2, 1, 0, 1, 0, 3, 4, 1, 2, 2, 4, 1, 0, 0, 4, 0, 4, 0, 3, 0, 3, 2, 4, 2, 0, 4, 1, 3, 2, 0, 1, 2, 2, 2, 3, 1, 4, 2, 4, 1, 3, 2, 4, 2, 4, 3, 0, 4, 4, 4, 3, 3, 4, 3, 0, 0, 3, 0, 1, 0, 1, 1, 2, 3, 1, 2, 4, 2, 1, 2, 3, 1, 2, 1, 1, 1, 1, 0, 1, 3, 0, 1, 2, 2, 0, 3, 2, 1, 0, 3, 1, 0, 3, 1, 1, 2, 3, 4, 2, 1, 3, 2, 2, 3, 4, 4, 2, 4, 0, 0, 4, 0, 0, 3, 0, 1, 2, 1, 0, 1, 3, 1, 1, 3, 3, 4, 2, 1, 4, 1, 2, 1, 4, 3, 4, 1, 2, 4, 3, 0, 0, 1, 4, 3, 1, 4, 4, 2, 3, 0, 1, 2, 1, 0, 1, 0, 4, 4, 1, 4, 3, 4, 0, 3, 0, 1, 4, 3, 2, 3, 2, 1, 3, 4, 0, 4, 2, 4, 4, 1, 2, 2, 3, 4, 3, 4, 1, 1, 1, 3, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1] pubkeycol942 = [2, 2, 4, 2, 1, 4, 1, 2, 2, 2, 4, 3, 1, 4, 2, 0, 0, 3, 0, 0, 2, 3, 4, 4, 3, 2, 2, 3, 3, 1, 4, 0, 4, 3, 1, 2, 4, 2, 3, 3, 2, 1, 0, 2, 2, 2, 3, 3, 0, 1, 0, 2, 3, 1, 0, 1, 3, 2, 1, 0, 1, 4, 0, 3, 3, 3, 2, 4, 2, 2, 2, 2, 4, 0, 0, 3, 3, 2, 2, 0, 4, 1, 4, 2, 3, 2, 2, 1, 3, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 3, 0, 3, 0, 3, 0, 1, 1, 3, 4, 0, 4, 2, 4, 3, 4, 4, 2, 4, 4, 4, 1, 1, 4, 1, 1, 1, 3, 4, 4, 4, 0, 0, 4, 1, 1, 1, 4, 4, 1, 1, 1, 3, 1, 1, 2, 2, 1, 1, 1, 1, 4, 3, 4, 4, 1, 2, 2, 0, 3, 3, 1, 2, 4, 1, 3, 4, 3, 4, 4, 3, 2, 3, 1, 2, 0, 3, 3, 2, 2, 0, 0, 1, 1, 3, 4, 3, 1, 0, 1, 0, 4, 3, 1, 1, 2, 4, 2, 4, 0, 0, 4, 3, 4, 0, 3, 2, 0, 1, 2, 0, 4, 4, 3, 2, 0, 2, 1, 2, 1, 4, 2, 4, 0, 1, 1, 0, 0, 0, 2, 0, 4, 3, 1, 1, 1, 2, 4, 1, 0, 0, 4, 0, 4, 3, 3, 2, 2, 2, 4, 3, 1, 2, 4, 2, 0, 3, 0, 0, 2, 2, 2, 4, 2, 0, 1, 4, 0, 0, 3, 3, 4, 0, 4, 4, 0, 4, 4, 4, 3, 3, 3, 3, 4, 1, 0, 0, 3, 1, 2, 4, 4, 4, 2, 0, 2, 3, 3, 3, 1, 0, 0, 2, 1, 2, 2, 2, 4, 2, 4, 3, 4, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 3, 0, 2, 4, 4, 4, 2, 2, 2, 0, 4, 1, 2, 0, 3, 3, 2, 3, 4, 2, 4, 1, 1, 4, 4, 2, 4, 4, 4, 3, 0, 4, 3, 3, 3, 0, 2, 2, 4, 1, 1, 1, 0, 1, 3, 1, 4, 3, 1, 2, 0, 2, 4, 0, 0, 1, 3, 1, 3, 1, 3, 0, 1, 0, 3, 4, 0, 2, 3, 3, 3, 2, 4, 3, 4, 3, 4, 4, 4, 2, 2, 2, 0, 4, 4, 2, 4, 3, 0, 1, 1, 0, 3, 3, 2, 4, 0, 4, 3, 3, 2, 2, 1, 3, 3, 3, 0, 4, 4, 2, 2, 2, 0, 2, 1, 3, 2, 4, 1, 4, 3, 3, 0, 0, 3, 2, 3, 0, 1, 2, 2, 1, 1, 4, 1, 1, 4, 1, 0, 2, 2, 2, 3, 2, 1, 3, 0, 2, 3, 2, 0, 2, 0, 2, 3, 2, 0, 4] pubkeycol943 = [4, 2, 0, 2, 3, 4, 3, 4, 4, 2, 4, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 4, 4, 2, 0, 0, 2, 2, 1, 1, 4, 0, 2, 1, 3, 3, 0, 1, 1, 0, 1, 0, 3, 4, 1, 3, 1, 4, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 4, 3, 3, 1, 1, 0, 3, 1, 0, 1, 2, 0, 4, 3, 2, 4, 2, 4, 3, 2, 2, 2, 3, 2, 3, 1, 3, 3, 2, 0, 4, 4, 2, 3, 3, 2, 4, 0, 3, 3, 3, 4, 1, 1, 3, 0, 3, 0, 4, 2, 4, 2, 3, 4, 1, 4, 3, 2, 2, 4, 2, 2, 3, 3, 2, 1, 1, 4, 0, 3, 2, 1, 0, 1, 4, 2, 1, 1, 1, 4, 1, 1, 2, 4, 3, 0, 1, 1, 1, 1, 0, 1, 0, 4, 1, 2, 3, 1, 3, 2, 0, 1, 3, 3, 4, 3, 0, 0, 4, 0, 3, 0, 2, 2, 3, 0, 0, 2, 2, 2, 1, 3, 0, 4, 0, 0, 0, 3, 0, 3, 4, 3, 0, 2, 1, 3, 2, 0, 1, 2, 1, 1, 2, 4, 1, 0, 2, 4, 3, 2, 1, 1, 4, 3, 0, 1, 0, 1, 0, 1, 3, 2, 0, 2, 1, 3, 4, 4, 1, 3, 1, 4, 3, 2, 4, 1, 1, 2, 3, 3, 3, 0, 4, 2, 4, 4, 3, 2, 0, 0, 3, 3, 4, 3, 2, 3, 3, 0, 1, 3, 4, 0, 3, 2, 3, 2, 0, 4, 2, 1, 1, 2, 0, 4, 3, 2, 4, 0, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 4, 1, 1, 0, 4, 3, 4, 1, 1, 1, 2, 2, 4, 0, 1, 2, 3, 3, 2, 2, 1, 0, 3, 1, 4, 3, 2, 3, 4, 1, 2, 3, 0, 3, 3, 4, 0, 0, 2, 2, 3, 2, 2, 2, 2, 2, 0, 2, 3, 4, 1, 0, 1, 3, 1, 4, 3, 0, 4, 2, 2, 2, 0, 3, 1, 4, 2, 0, 3, 2, 2, 1, 0, 0, 4, 0, 3, 4, 2, 4, 1, 0, 4, 2, 1, 1, 0, 1, 0, 3, 4, 1, 0, 2, 1, 2, 2, 0, 4, 4, 1, 2, 0, 1, 3, 0, 1, 1, 3, 2, 0, 0, 0, 3, 1, 2, 3, 1, 2, 2, 1, 4, 2, 4, 1, 3, 1, 3, 4, 1, 2, 4, 1, 1, 0, 4, 1, 1, 0, 4, 0, 0, 2, 2, 2, 1, 3, 4, 2, 3, 2, 3, 3, 0, 3, 0, 2, 2, 4, 3, 3, 1, 1, 2, 2, 3, 3, 0, 2, 2, 2, 3, 2, 2, 3, 1, 0, 3, 4, 0, 3, 4, 0, 1, 4, 3, 1] pubkeycol944 = [0, 2, 4, 1, 2, 1, 0, 2, 0, 4, 4, 0, 0, 1, 4, 4, 2, 0, 2, 3, 1, 1, 1, 1, 3, 2, 1, 2, 4, 1, 4, 0, 1, 0, 4, 3, 2, 3, 1, 4, 4, 1, 2, 3, 3, 0, 1, 0, 1, 1, 4, 3, 0, 3, 0, 0, 0, 0, 4, 0, 0, 1, 0, 4, 1, 1, 2, 2, 2, 0, 3, 4, 1, 4, 4, 2, 1, 3, 4, 1, 2, 1, 4, 2, 3, 3, 0, 4, 0, 1, 2, 0, 3, 2, 1, 1, 3, 4, 0, 0, 0, 2, 4, 4, 4, 0, 2, 3, 0, 2, 0, 0, 4, 4, 1, 3, 0, 3, 1, 0, 0, 4, 1, 1, 4, 4, 0, 2, 3, 3, 0, 2, 2, 1, 1, 3, 4, 3, 3, 4, 1, 4, 3, 0, 0, 2, 3, 2, 2, 0, 2, 3, 1, 2, 4, 4, 0, 0, 4, 0, 2, 4, 2, 1, 0, 0, 0, 3, 3, 0, 3, 2, 1, 2, 4, 1, 1, 1, 0, 0, 3, 4, 0, 3, 1, 0, 1, 2, 3, 4, 4, 0, 3, 4, 1, 4, 3, 4, 0, 1, 1, 1, 1, 0, 0, 0, 1, 4, 3, 1, 3, 0, 3, 0, 1, 1, 3, 1, 4, 3, 2, 4, 0, 4, 4, 4, 3, 2, 1, 0, 0, 4, 0, 2, 4, 3, 4, 3, 2, 3, 0, 0, 0, 2, 3, 2, 0, 2, 0, 0, 4, 0, 3, 1, 3, 0, 4, 4, 0, 3, 3, 0, 2, 4, 1, 0, 3, 4, 1, 0, 4, 1, 3, 0, 0, 2, 4, 0, 0, 3, 4, 4, 3, 1, 1, 3, 1, 4, 0, 0, 0, 0, 0, 3, 2, 2, 2, 0, 1, 1, 3, 0, 4, 4, 1, 3, 1, 2, 4, 1, 0, 3, 3, 1, 1, 3, 0, 3, 4, 2, 4, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 3, 1, 0, 1, 3, 0, 4, 4, 2, 1, 0, 4, 3, 3, 3, 1, 2, 0, 3, 4, 1, 2, 2, 2, 1, 2, 1, 1, 3, 0, 3, 2, 2, 0, 1, 3, 2, 0, 2, 2, 2, 2, 0, 4, 2, 0, 1, 2, 4, 3, 2, 4, 4, 2, 3, 1, 0, 2, 0, 4, 2, 0, 4, 3, 1, 0, 3, 1, 1, 2, 0, 4, 0, 1, 2, 4, 4, 2, 3, 4, 1, 1, 0, 2, 1, 2, 4, 3, 2, 3, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 4, 4, 2, 4, 2, 2, 4, 0, 0, 2, 3, 0, 3, 2, 4, 4, 3, 2, 1, 3, 4, 3, 0, 1, 2, 4, 2, 0, 0, 2, 3, 4, 2, 0, 1, 2, 1, 3, 3, 3, 2, 0, 4, 4, 3, 3, 1, 0, 4] pubkeycol945 = [2, 0, 2, 0, 3, 2, 4, 1, 2, 1, 2, 4, 1, 3, 4, 4, 4, 2, 2, 2, 0, 0, 3, 2, 1, 2, 0, 4, 4, 2, 3, 3, 2, 4, 0, 1, 2, 2, 1, 1, 0, 3, 2, 1, 1, 3, 1, 2, 1, 1, 1, 1, 0, 1, 2, 4, 0, 0, 1, 2, 4, 3, 4, 1, 3, 2, 2, 2, 3, 3, 2, 0, 3, 1, 4, 0, 4, 3, 1, 1, 3, 4, 4, 0, 3, 2, 1, 1, 4, 0, 4, 0, 0, 2, 1, 3, 3, 1, 0, 4, 2, 4, 0, 2, 2, 1, 0, 4, 4, 3, 3, 1, 4, 2, 4, 2, 0, 4, 2, 4, 0, 1, 3, 3, 3, 1, 1, 3, 1, 3, 2, 2, 3, 3, 4, 1, 0, 0, 3, 4, 2, 2, 1, 1, 1, 2, 3, 3, 2, 0, 0, 2, 0, 0, 3, 0, 3, 4, 3, 2, 3, 3, 1, 3, 0, 2, 3, 3, 3, 1, 1, 2, 1, 3, 0, 0, 2, 2, 4, 2, 1, 4, 1, 4, 1, 4, 0, 4, 4, 4, 2, 3, 1, 4, 2, 0, 2, 0, 3, 1, 0, 4, 0, 0, 0, 1, 4, 0, 1, 0, 0, 4, 2, 4, 3, 0, 4, 3, 2, 4, 4, 0, 4, 3, 2, 0, 0, 1, 1, 3, 1, 0, 4, 3, 3, 0, 0, 4, 0, 0, 4, 4, 1, 3, 1, 4, 3, 0, 3, 1, 0, 0, 3, 0, 4, 3, 3, 4, 0, 1, 2, 1, 2, 0, 0, 1, 3, 3, 0, 0, 4, 1, 3, 3, 4, 1, 1, 3, 4, 4, 0, 2, 3, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 1, 2, 1, 3, 1, 0, 0, 3, 1, 3, 4, 0, 0, 0, 4, 3, 0, 4, 1, 4, 4, 0, 4, 2, 1, 4, 1, 2, 4, 2, 0, 4, 3, 4, 0, 3, 1, 4, 0, 0, 4, 2, 4, 2, 0, 4, 2, 2, 3, 4, 1, 4, 4, 3, 0, 3, 4, 0, 0, 1, 4, 4, 3, 4, 0, 0, 0, 2, 2, 0, 0, 4, 2, 0, 1, 3, 3, 0, 2, 3, 3, 1, 2, 3, 2, 4, 2, 1, 1, 0, 1, 0, 0, 4, 2, 2, 1, 2, 0, 2, 4, 3, 1, 3, 3, 2, 1, 4, 3, 3, 1, 1, 3, 1, 4, 4, 1, 2, 2, 3, 2, 1, 3, 3, 3, 1, 2, 4, 3, 3, 1, 1, 1, 4, 4, 4, 1, 4, 2, 3, 3, 1, 0, 2, 4, 4, 3, 0, 2, 1, 2, 4, 1, 0, 3, 2, 3, 2, 4, 2, 2, 2, 1, 3, 4, 3, 4, 3, 0, 2, 1, 0, 4, 4, 1, 2, 1, 0, 3, 1, 2, 1, 1, 3, 0, 1] pubkeycol946 = [3, 1, 4, 4, 1, 1, 1, 1, 4, 3, 3, 2, 2, 4, 4, 0, 1, 3, 2, 3, 0, 4, 0, 4, 2, 1, 4, 2, 1, 2, 4, 0, 0, 1, 3, 3, 3, 4, 3, 1, 2, 0, 4, 3, 4, 1, 3, 1, 4, 4, 2, 1, 3, 3, 4, 0, 2, 1, 4, 0, 2, 1, 2, 4, 2, 3, 4, 0, 3, 2, 3, 1, 3, 1, 3, 2, 1, 0, 1, 2, 0, 4, 1, 4, 3, 4, 4, 4, 0, 4, 4, 3, 4, 0, 0, 0, 2, 4, 3, 4, 1, 3, 0, 2, 3, 3, 3, 3, 0, 0, 4, 3, 4, 3, 0, 3, 0, 1, 2, 2, 2, 1, 1, 3, 0, 2, 4, 2, 0, 3, 4, 0, 0, 3, 3, 2, 3, 2, 1, 0, 3, 4, 3, 3, 4, 0, 0, 1, 4, 1, 0, 1, 4, 1, 2, 3, 4, 0, 4, 1, 2, 2, 1, 0, 4, 3, 4, 0, 4, 3, 2, 0, 3, 1, 3, 0, 1, 1, 3, 4, 3, 2, 3, 4, 0, 2, 3, 0, 2, 0, 0, 0, 4, 0, 2, 1, 0, 0, 2, 0, 1, 0, 4, 2, 3, 1, 4, 3, 0, 1, 2, 0, 4, 1, 2, 1, 4, 1, 4, 0, 3, 3, 4, 2, 4, 3, 2, 2, 1, 1, 3, 0, 4, 0, 1, 2, 2, 1, 0, 3, 2, 2, 4, 0, 1, 1, 3, 4, 3, 3, 3, 1, 0, 3, 3, 3, 0, 2, 0, 4, 1, 0, 4, 0, 1, 1, 4, 1, 3, 1, 2, 0, 4, 1, 4, 3, 3, 2, 1, 3, 3, 1, 3, 0, 2, 4, 2, 1, 2, 4, 0, 2, 1, 3, 3, 0, 4, 2, 0, 3, 3, 3, 2, 3, 3, 0, 0, 2, 0, 3, 1, 4, 2, 1, 1, 4, 2, 4, 1, 3, 3, 1, 1, 3, 1, 4, 0, 3, 4, 0, 4, 2, 1, 2, 3, 3, 1, 4, 3, 2, 4, 2, 1, 1, 2, 2, 1, 4, 3, 1, 1, 2, 3, 2, 2, 4, 4, 2, 3, 2, 2, 3, 4, 4, 0, 3, 1, 3, 0, 2, 4, 2, 2, 1, 4, 4, 2, 2, 4, 0, 0, 0, 0, 4, 0, 1, 0, 4, 2, 2, 3, 1, 2, 2, 4, 2, 3, 0, 2, 3, 3, 4, 0, 4, 3, 4, 1, 0, 2, 3, 3, 1, 2, 1, 0, 2, 4, 2, 1, 0, 1, 4, 0, 0, 1, 3, 2, 2, 2, 4, 1, 0, 1, 4, 3, 4, 3, 4, 3, 1, 0, 0, 3, 0, 4, 1, 1, 1, 2, 4, 4, 4, 1, 1, 4, 1, 2, 0, 3, 1, 2, 3, 2, 2, 3, 4, 2, 4, 4, 4, 4, 2, 2, 1, 4, 1, 1, 3, 3, 3] pubkeycol947 = [0, 0, 1, 2, 4, 3, 2, 0, 2, 1, 3, 2, 3, 4, 1, 4, 2, 1, 4, 3, 3, 1, 2, 2, 0, 3, 3, 0, 3, 1, 3, 0, 4, 3, 3, 2, 4, 4, 2, 2, 3, 4, 3, 4, 3, 0, 1, 4, 0, 4, 0, 0, 4, 2, 1, 3, 2, 3, 2, 1, 4, 1, 4, 3, 2, 2, 3, 0, 3, 3, 2, 2, 2, 0, 4, 3, 0, 4, 4, 4, 1, 3, 1, 1, 0, 2, 3, 0, 1, 2, 4, 4, 3, 4, 3, 2, 2, 2, 2, 3, 3, 4, 0, 3, 0, 0, 0, 2, 3, 2, 4, 2, 0, 1, 0, 4, 2, 1, 1, 2, 2, 0, 4, 4, 4, 4, 2, 2, 1, 0, 1, 4, 2, 3, 2, 3, 1, 1, 1, 2, 1, 2, 0, 3, 4, 3, 3, 1, 4, 2, 4, 0, 2, 4, 3, 4, 1, 1, 0, 1, 3, 0, 2, 1, 1, 2, 0, 3, 0, 2, 2, 0, 0, 1, 3, 3, 1, 2, 1, 4, 0, 1, 3, 2, 1, 1, 3, 0, 1, 3, 0, 1, 1, 3, 3, 3, 1, 3, 2, 4, 3, 0, 4, 4, 3, 0, 4, 3, 0, 0, 1, 0, 2, 2, 2, 2, 2, 4, 0, 4, 4, 4, 2, 4, 3, 0, 4, 3, 1, 4, 1, 3, 4, 4, 0, 1, 3, 1, 3, 2, 4, 3, 0, 0, 2, 0, 4, 1, 0, 0, 3, 3, 2, 2, 3, 3, 4, 0, 3, 0, 0, 2, 0, 1, 3, 3, 1, 0, 4, 4, 0, 4, 1, 2, 2, 0, 2, 4, 3, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 3, 0, 1, 2, 3, 4, 1, 1, 0, 1, 2, 2, 3, 1, 2, 2, 2, 4, 0, 4, 4, 0, 4, 0, 4, 1, 2, 3, 4, 2, 4, 4, 4, 4, 0, 0, 1, 3, 0, 3, 1, 3, 2, 3, 0, 4, 0, 2, 3, 1, 1, 2, 1, 4, 3, 3, 1, 4, 2, 2, 2, 4, 3, 1, 1, 4, 1, 4, 0, 2, 4, 4, 1, 0, 2, 0, 4, 3, 4, 4, 1, 4, 4, 3, 2, 4, 0, 3, 2, 3, 2, 2, 0, 2, 3, 4, 4, 0, 2, 0, 3, 3, 3, 3, 4, 3, 4, 3, 0, 0, 3, 0, 1, 1, 1, 0, 2, 4, 0, 3, 1, 1, 1, 1, 2, 4, 1, 1, 3, 1, 2, 1, 2, 1, 1, 4, 3, 0, 1, 0, 4, 4, 4, 1, 0, 4, 3, 3, 2, 4, 2, 2, 1, 3, 2, 2, 3, 0, 2, 2, 2, 3, 3, 2, 4, 3, 4, 4, 1, 2, 0, 3, 3, 2, 4, 0, 3, 0, 3, 3, 3, 1, 1, 2, 2] pubkeycol948 = [2, 0, 0, 2, 4, 1, 2, 1, 4, 2, 2, 0, 3, 2, 3, 4, 0, 0, 2, 1, 1, 1, 4, 0, 4, 4, 2, 0, 3, 3, 4, 0, 1, 1, 2, 4, 4, 2, 1, 0, 2, 4, 2, 0, 3, 1, 0, 1, 4, 0, 1, 1, 1, 3, 3, 3, 2, 0, 4, 3, 1, 0, 3, 4, 3, 1, 3, 1, 4, 2, 0, 0, 0, 3, 4, 3, 4, 0, 3, 4, 0, 1, 2, 4, 2, 1, 4, 0, 3, 4, 2, 1, 3, 0, 2, 1, 4, 1, 0, 4, 0, 4, 2, 4, 0, 4, 4, 3, 4, 2, 0, 4, 0, 1, 1, 2, 1, 1, 0, 4, 2, 2, 0, 4, 1, 2, 2, 2, 2, 3, 3, 0, 3, 0, 3, 4, 1, 3, 3, 3, 4, 2, 1, 3, 4, 0, 4, 0, 2, 2, 2, 2, 3, 3, 1, 1, 4, 2, 0, 2, 4, 0, 0, 4, 0, 3, 4, 2, 2, 3, 4, 3, 1, 3, 2, 4, 0, 3, 3, 1, 1, 4, 4, 4, 4, 0, 3, 3, 3, 2, 1, 0, 3, 0, 2, 1, 4, 1, 1, 2, 2, 2, 4, 1, 2, 4, 2, 4, 1, 4, 1, 4, 3, 1, 2, 2, 4, 1, 3, 1, 0, 0, 0, 3, 4, 3, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 0, 4, 4, 4, 3, 4, 2, 3, 3, 4, 4, 1, 4, 0, 0, 3, 0, 1, 2, 0, 3, 0, 4, 1, 0, 4, 3, 0, 4, 1, 2, 4, 3, 0, 4, 0, 0, 0, 3, 0, 4, 0, 2, 3, 3, 2, 2, 2, 3, 0, 3, 2, 1, 2, 0, 3, 3, 3, 2, 0, 4, 1, 1, 3, 2, 0, 0, 3, 4, 0, 3, 4, 1, 1, 4, 0, 0, 2, 0, 1, 3, 2, 4, 2, 0, 4, 0, 0, 2, 3, 3, 2, 1, 0, 4, 0, 2, 4, 2, 4, 1, 3, 4, 3, 1, 3, 0, 2, 4, 3, 4, 3, 0, 3, 2, 4, 0, 0, 3, 2, 2, 4, 4, 0, 4, 4, 4, 1, 0, 4, 4, 1, 4, 0, 0, 4, 1, 0, 3, 0, 1, 2, 4, 1, 4, 2, 2, 0, 3, 2, 0, 3, 4, 1, 0, 3, 0, 1, 1, 3, 0, 3, 4, 3, 3, 2, 3, 4, 0, 3, 1, 2, 4, 3, 0, 4, 1, 3, 3, 3, 4, 3, 3, 3, 2, 4, 3, 1, 3, 1, 3, 1, 4, 0, 3, 3, 0, 1, 0, 3, 4, 3, 4, 0, 3, 3, 3, 1, 0, 2, 4, 1, 0, 0, 4, 3, 3, 2, 0, 4, 0, 0, 0, 3, 4, 0, 3, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 3, 1, 2, 1, 0] pubkeycol949 = [4, 4, 4, 3, 1, 1, 1, 1, 3, 1, 0, 3, 0, 3, 3, 3, 3, 3, 2, 0, 0, 3, 1, 4, 2, 3, 4, 0, 3, 1, 2, 3, 3, 0, 0, 4, 1, 2, 3, 1, 4, 2, 2, 3, 1, 2, 0, 3, 4, 4, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 3, 3, 4, 1, 4, 2, 0, 0, 4, 2, 0, 4, 2, 1, 0, 4, 2, 3, 2, 1, 1, 3, 4, 1, 0, 4, 4, 4, 4, 1, 4, 3, 3, 2, 1, 4, 2, 1, 4, 3, 4, 1, 4, 4, 2, 0, 0, 1, 1, 2, 3, 3, 0, 1, 3, 0, 0, 3, 3, 1, 3, 1, 1, 2, 2, 4, 1, 0, 1, 4, 3, 3, 2, 2, 3, 4, 4, 4, 1, 0, 2, 2, 0, 3, 0, 2, 4, 4, 1, 0, 1, 4, 0, 2, 0, 2, 2, 4, 0, 3, 0, 1, 4, 4, 0, 1, 3, 1, 0, 2, 2, 0, 1, 4, 3, 3, 2, 0, 1, 3, 4, 3, 4, 0, 1, 0, 0, 2, 0, 3, 0, 1, 4, 4, 3, 4, 2, 3, 4, 4, 0, 0, 2, 2, 1, 4, 1, 2, 4, 0, 3, 4, 3, 2, 4, 4, 4, 2, 0, 2, 0, 2, 1, 1, 4, 3, 1, 2, 2, 4, 3, 4, 3, 3, 0, 0, 1, 1, 2, 3, 4, 1, 0, 1, 4, 0, 3, 1, 0, 2, 2, 2, 1, 2, 4, 4, 1, 2, 2, 0, 4, 3, 1, 1, 0, 2, 4, 2, 0, 1, 4, 2, 4, 2, 3, 4, 4, 1, 2, 1, 2, 3, 0, 0, 3, 3, 2, 0, 2, 0, 4, 4, 2, 0, 0, 2, 3, 2, 1, 0, 3, 4, 4, 0, 0, 3, 0, 4, 0, 0, 0, 2, 4, 4, 4, 3, 2, 3, 2, 2, 0, 0, 4, 4, 3, 0, 4, 1, 2, 1, 4, 4, 0, 0, 3, 0, 1, 1, 1, 1, 3, 2, 1, 2, 3, 4, 3, 4, 2, 4, 4, 1, 3, 0, 3, 2, 0, 0, 4, 3, 4, 1, 2, 0, 2, 3, 4, 3, 2, 3, 3, 4, 4, 4, 1, 0, 4, 0, 1, 3, 4, 2, 2, 1, 4, 3, 4, 4, 4, 1, 4, 1, 2, 4, 4, 1, 1, 4, 2, 0, 1, 3, 3, 2, 3, 0, 4, 1, 1, 1, 0, 3, 0, 0, 4, 2, 4, 4, 3, 3, 0, 0, 3, 0, 1, 0, 1, 2, 0, 0, 2, 4, 3, 0, 4, 2, 3, 2, 3, 0, 1, 1, 4, 4, 1, 4, 0, 2, 1, 3, 1, 3, 2, 3, 0, 1, 4, 4, 0, 4, 0, 0, 0, 2, 4, 1, 1, 4, 4, 3, 3, 1, 3, 1, 1, 4, 2, 3, 0, 2] pubkeycol950 = [4, 2, 0, 1, 1, 1, 3, 4, 2, 1, 2, 0, 4, 4, 3, 1, 0, 0, 1, 2, 1, 2, 2, 0, 4, 3, 4, 0, 0, 3, 4, 2, 0, 1, 0, 3, 1, 3, 0, 2, 0, 4, 1, 2, 0, 2, 0, 2, 3, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 3, 4, 0, 1, 0, 1, 4, 2, 0, 1, 2, 2, 0, 3, 3, 1, 2, 2, 1, 2, 2, 2, 0, 4, 2, 3, 2, 2, 2, 3, 2, 0, 3, 2, 3, 1, 3, 4, 0, 0, 0, 0, 2, 0, 3, 3, 4, 1, 3, 1, 1, 3, 2, 0, 1, 1, 1, 1, 2, 1, 4, 2, 3, 3, 3, 1, 2, 0, 2, 0, 3, 3, 1, 4, 4, 4, 2, 1, 1, 1, 2, 4, 1, 4, 1, 2, 2, 3, 2, 4, 3, 4, 2, 4, 1, 1, 2, 2, 2, 3, 2, 4, 2, 1, 3, 0, 1, 2, 2, 0, 0, 0, 0, 4, 2, 4, 1, 1, 1, 0, 3, 3, 0, 4, 3, 0, 0, 4, 3, 0, 0, 3, 1, 3, 4, 2, 4, 3, 1, 3, 0, 2, 1, 3, 3, 3, 3, 1, 2, 1, 3, 2, 4, 4, 1, 3, 1, 1, 4, 2, 1, 2, 4, 4, 1, 3, 4, 2, 4, 0, 1, 1, 3, 3, 3, 4, 4, 3, 4, 1, 3, 1, 3, 4, 4, 4, 4, 2, 0, 0, 4, 2, 1, 2, 0, 1, 4, 0, 1, 2, 4, 3, 2, 1, 1, 1, 3, 2, 4, 2, 1, 3, 4, 4, 1, 4, 0, 0, 0, 0, 3, 2, 1, 0, 1, 1, 4, 0, 2, 3, 3, 0, 1, 1, 1, 0, 4, 1, 4, 3, 0, 2, 1, 4, 4, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 3, 3, 2, 0, 2, 2, 4, 2, 4, 1, 2, 1, 2, 1, 2, 0, 4, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 3, 0, 2, 2, 1, 4, 3, 0, 3, 1, 0, 1, 2, 0, 0, 1, 4, 3, 2, 3, 0, 3, 0, 3, 4, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 4, 2, 1, 1, 2, 3, 2, 2, 4, 3, 0, 3, 1, 1, 4, 1, 1, 2, 3, 0, 3, 1, 1, 3, 0, 0, 1, 4, 3, 3, 4, 1, 1, 1, 4, 1, 4, 2, 0, 4, 1, 0, 1, 2, 0, 0, 1, 3, 2, 2, 1, 0, 3, 3, 2, 4, 2, 4, 0, 0, 0, 2, 3, 4, 4, 2, 1, 1, 1, 1, 4, 0, 3, 2, 2, 4, 2, 3, 3, 0, 4, 1, 4, 1, 4, 4, 2, 1, 4, 1, 3, 3, 1, 4, 4, 0] pubkeycol951 = [3, 4, 2, 4, 0, 4, 3, 4, 3, 0, 2, 4, 0, 3, 0, 2, 2, 3, 0, 1, 0, 1, 1, 0, 3, 4, 0, 2, 0, 0, 3, 2, 3, 3, 4, 1, 2, 2, 3, 3, 1, 3, 2, 1, 1, 3, 2, 1, 0, 3, 1, 3, 1, 3, 2, 3, 4, 0, 4, 0, 1, 2, 3, 1, 4, 3, 2, 4, 0, 3, 1, 0, 2, 2, 0, 4, 0, 0, 4, 2, 1, 2, 4, 4, 3, 2, 2, 4, 2, 0, 4, 4, 0, 2, 0, 3, 2, 4, 1, 1, 2, 4, 0, 0, 3, 2, 1, 4, 2, 3, 1, 2, 2, 3, 1, 0, 2, 2, 4, 3, 1, 2, 4, 4, 2, 1, 0, 2, 1, 2, 4, 4, 3, 2, 2, 2, 3, 4, 3, 3, 2, 0, 4, 2, 0, 1, 1, 4, 4, 0, 0, 0, 1, 0, 3, 3, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 3, 3, 1, 4, 0, 3, 4, 0, 3, 1, 3, 0, 4, 1, 3, 1, 4, 0, 1, 0, 2, 0, 3, 1, 4, 0, 4, 2, 2, 4, 2, 2, 0, 4, 1, 3, 2, 3, 2, 2, 3, 2, 0, 0, 0, 4, 3, 3, 0, 3, 2, 1, 2, 2, 1, 3, 0, 3, 3, 4, 3, 1, 3, 4, 2, 2, 2, 0, 2, 0, 4, 4, 1, 0, 0, 4, 2, 4, 0, 4, 3, 0, 0, 2, 3, 1, 4, 4, 0, 3, 1, 0, 2, 0, 2, 1, 0, 1, 3, 3, 3, 3, 1, 4, 0, 2, 2, 2, 1, 1, 1, 4, 2, 3, 2, 1, 4, 4, 4, 2, 2, 0, 1, 2, 4, 1, 3, 0, 4, 4, 1, 3, 1, 2, 1, 2, 3, 4, 4, 1, 1, 2, 0, 2, 0, 4, 4, 0, 4, 2, 1, 1, 0, 4, 2, 2, 2, 4, 3, 2, 3, 2, 3, 2, 0, 2, 1, 4, 3, 0, 1, 0, 4, 3, 3, 4, 3, 2, 2, 1, 1, 2, 0, 3, 4, 2, 4, 4, 4, 3, 0, 4, 3, 3, 3, 3, 0, 0, 4, 3, 1, 2, 3, 2, 0, 3, 0, 2, 0, 0, 0, 3, 3, 1, 1, 0, 1, 3, 4, 0, 3, 1, 4, 1, 3, 4, 3, 0, 4, 3, 3, 4, 2, 2, 0, 1, 2, 4, 3, 3, 0, 2, 4, 1, 0, 3, 2, 4, 1, 1, 4, 3, 4, 1, 4, 3, 3, 2, 2, 1, 2, 3, 2, 2, 0, 1, 2, 4, 0, 3, 2, 4, 0, 4, 3, 0, 2, 2, 0, 1, 0, 4, 2, 2, 3, 3, 4, 1, 2, 1, 1, 3, 0, 1, 3, 2, 4, 1, 4, 2, 1, 1, 0, 0, 2, 1, 4, 4, 4, 0, 4, 1, 0, 1] pubkeycol952 = [1, 4, 3, 1, 3, 2, 3, 4, 3, 0, 1, 0, 2, 0, 2, 4, 0, 4, 1, 0, 1, 2, 0, 0, 1, 3, 1, 1, 0, 2, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 4, 0, 3, 2, 2, 1, 0, 0, 3, 1, 4, 3, 4, 2, 1, 3, 1, 0, 4, 3, 1, 1, 0, 1, 3, 2, 0, 2, 0, 0, 2, 2, 4, 4, 3, 2, 4, 4, 3, 1, 2, 4, 2, 3, 3, 4, 4, 4, 2, 3, 1, 4, 1, 2, 2, 3, 3, 3, 1, 0, 3, 2, 0, 2, 3, 0, 4, 2, 4, 2, 3, 2, 3, 4, 3, 3, 4, 2, 0, 3, 0, 3, 2, 2, 4, 1, 3, 2, 0, 0, 2, 3, 0, 0, 4, 1, 2, 4, 3, 3, 4, 3, 0, 0, 4, 4, 0, 3, 4, 3, 0, 1, 3, 0, 3, 0, 0, 3, 0, 1, 0, 1, 2, 3, 3, 0, 1, 0, 0, 2, 3, 3, 0, 0, 2, 4, 2, 3, 2, 4, 4, 0, 4, 2, 2, 2, 1, 4, 2, 3, 3, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 3, 3, 4, 4, 3, 2, 3, 0, 4, 3, 2, 3, 4, 2, 4, 1, 4, 3, 2, 1, 1, 3, 4, 4, 0, 3, 2, 2, 3, 4, 3, 1, 2, 1, 1, 0, 0, 2, 3, 1, 1, 4, 2, 3, 0, 3, 1, 2, 2, 2, 1, 0, 0, 2, 1, 4, 4, 0, 4, 0, 3, 1, 0, 4, 1, 2, 1, 4, 2, 4, 2, 1, 4, 0, 4, 4, 1, 1, 2, 3, 1, 4, 4, 2, 1, 0, 2, 3, 0, 1, 3, 4, 2, 1, 0, 1, 2, 0, 4, 3, 0, 1, 1, 2, 2, 1, 3, 2, 3, 4, 4, 3, 4, 4, 2, 1, 2, 3, 2, 3, 0, 3, 4, 3, 1, 3, 4, 1, 4, 2, 4, 1, 0, 1, 0, 1, 0, 2, 3, 1, 3, 0, 0, 2, 0, 1, 1, 2, 4, 4, 1, 3, 0, 4, 0, 4, 0, 2, 3, 3, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 4, 0, 4, 3, 1, 0, 4, 1, 1, 1, 0, 3, 1, 4, 4, 3, 3, 4, 4, 0, 3, 4, 3, 4, 4, 4, 1, 1, 4, 3, 2, 2, 1, 2, 4, 0, 4, 0, 4, 2, 0, 4, 1, 1, 0, 0, 4, 0, 1, 1, 3, 3, 3, 4, 0, 1, 3, 4, 4, 1, 0, 3, 4, 4, 1, 3, 0, 2, 3, 2, 2, 2, 2, 0, 0, 0, 3, 2, 4, 4, 4, 4, 4, 1, 0, 0, 3, 2, 2, 4, 2, 2, 0, 2, 4, 3, 2, 0, 1, 2, 1, 0, 2, 3, 0, 0, 0, 1, 4] pubkeycol953 = [0, 4, 1, 2, 2, 4, 4, 0, 1, 0, 0, 2, 2, 2, 4, 3, 0, 1, 1, 1, 3, 3, 1, 4, 0, 1, 4, 0, 1, 2, 2, 4, 1, 1, 1, 2, 4, 1, 1, 4, 3, 4, 0, 4, 0, 0, 2, 2, 2, 0, 0, 3, 0, 1, 4, 2, 3, 2, 0, 3, 4, 3, 4, 0, 3, 3, 0, 4, 0, 0, 3, 2, 2, 3, 3, 3, 0, 3, 4, 4, 1, 1, 3, 1, 2, 4, 4, 4, 3, 2, 4, 2, 1, 1, 3, 4, 0, 1, 2, 3, 3, 0, 3, 0, 1, 1, 1, 0, 4, 2, 1, 4, 3, 3, 4, 0, 4, 0, 2, 0, 3, 3, 4, 1, 4, 4, 4, 2, 0, 2, 0, 3, 0, 4, 4, 0, 4, 1, 1, 3, 4, 2, 4, 4, 0, 0, 3, 4, 0, 2, 2, 4, 3, 3, 4, 1, 4, 3, 2, 3, 3, 3, 3, 0, 3, 3, 3, 4, 3, 4, 2, 4, 2, 4, 2, 0, 0, 0, 0, 0, 1, 3, 3, 2, 4, 1, 1, 0, 2, 0, 3, 1, 2, 1, 1, 1, 2, 2, 4, 3, 4, 4, 2, 4, 2, 0, 0, 4, 0, 4, 0, 2, 1, 1, 1, 2, 0, 2, 0, 3, 2, 2, 2, 4, 2, 3, 1, 4, 2, 2, 0, 4, 3, 0, 0, 1, 3, 4, 2, 0, 0, 2, 2, 1, 3, 0, 2, 1, 1, 0, 0, 4, 4, 0, 1, 1, 1, 4, 0, 1, 3, 0, 2, 3, 4, 0, 2, 0, 4, 4, 0, 0, 0, 4, 4, 3, 1, 0, 1, 3, 0, 1, 3, 3, 2, 3, 1, 4, 1, 3, 3, 2, 0, 4, 4, 3, 0, 1, 1, 4, 4, 4, 4, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 0, 3, 4, 3, 2, 3, 1, 0, 4, 0, 3, 0, 1, 3, 1, 1, 1, 2, 1, 3, 2, 3, 4, 1, 4, 1, 2, 0, 4, 3, 4, 1, 0, 0, 3, 4, 0, 3, 1, 3, 1, 0, 0, 1, 0, 0, 4, 1, 3, 2, 4, 3, 2, 3, 1, 0, 2, 4, 3, 0, 2, 1, 2, 1, 4, 4, 3, 0, 2, 3, 3, 1, 4, 3, 3, 0, 2, 2, 3, 3, 0, 3, 4, 1, 2, 3, 1, 1, 3, 1, 0, 4, 1, 1, 2, 1, 4, 1, 0, 3, 0, 1, 0, 2, 4, 2, 2, 3, 3, 2, 3, 4, 1, 1, 3, 4, 2, 0, 3, 3, 3, 3, 3, 0, 0, 3, 1, 1, 1, 2, 4, 1, 0, 2, 3, 3, 1, 2, 4, 3, 2, 1, 2, 1, 1, 0, 1, 4, 0, 1, 4, 1, 4, 2, 2, 0, 2, 2, 2, 3, 1, 0, 4] pubkeycol954 = [2, 1, 2, 2, 0, 2, 1, 0, 3, 4, 0, 3, 4, 3, 1, 1, 0, 3, 4, 2, 1, 4, 4, 0, 2, 2, 1, 2, 0, 4, 2, 1, 2, 2, 4, 1, 2, 3, 0, 3, 4, 4, 2, 2, 2, 4, 3, 4, 2, 2, 3, 4, 4, 3, 2, 4, 4, 2, 3, 2, 1, 0, 1, 1, 0, 1, 0, 3, 3, 4, 0, 3, 3, 4, 0, 2, 1, 0, 2, 4, 1, 2, 3, 3, 2, 0, 1, 1, 4, 4, 3, 1, 4, 4, 2, 1, 4, 3, 4, 0, 1, 1, 3, 1, 3, 3, 1, 0, 2, 0, 4, 1, 3, 2, 4, 0, 1, 2, 1, 4, 2, 0, 0, 2, 0, 3, 1, 3, 2, 4, 3, 1, 0, 1, 0, 4, 2, 0, 1, 0, 4, 4, 1, 0, 4, 1, 4, 0, 3, 3, 2, 3, 3, 4, 2, 4, 1, 0, 3, 1, 0, 4, 2, 1, 1, 4, 3, 2, 3, 0, 1, 2, 3, 0, 1, 1, 3, 0, 3, 3, 3, 4, 2, 2, 0, 4, 2, 0, 2, 4, 3, 4, 3, 3, 0, 3, 2, 2, 0, 1, 1, 1, 3, 1, 3, 3, 0, 3, 2, 1, 3, 1, 4, 2, 3, 1, 4, 0, 4, 1, 3, 3, 1, 0, 4, 2, 3, 2, 4, 2, 4, 4, 1, 2, 4, 2, 2, 3, 1, 4, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 4, 3, 3, 4, 0, 3, 2, 2, 4, 4, 4, 2, 0, 4, 2, 1, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 4, 0, 1, 3, 0, 2, 2, 3, 3, 2, 3, 0, 4, 0, 3, 2, 2, 2, 0, 4, 1, 0, 0, 0, 0, 1, 4, 2, 4, 3, 1, 2, 2, 4, 0, 4, 3, 3, 4, 2, 4, 2, 0, 4, 3, 3, 4, 0, 4, 4, 1, 1, 3, 4, 3, 2, 3, 3, 4, 1, 1, 4, 2, 4, 1, 2, 4, 0, 1, 2, 3, 4, 1, 0, 4, 2, 2, 2, 3, 3, 0, 2, 3, 3, 3, 1, 2, 3, 0, 2, 2, 1, 4, 0, 1, 1, 4, 0, 3, 0, 3, 1, 2, 1, 3, 4, 4, 0, 0, 4, 2, 2, 3, 4, 4, 0, 2, 0, 4, 1, 3, 4, 4, 2, 1, 1, 4, 2, 1, 3, 0, 0, 3, 4, 0, 4, 0, 4, 4, 3, 1, 1, 2, 2, 0, 3, 4, 3, 1, 1, 0, 0, 0, 4, 4, 3, 0, 1, 3, 0, 0, 1, 1, 3, 4, 2, 3, 1, 1, 1, 4, 0, 0, 4, 2, 4, 0, 0, 2, 2, 3, 3, 4, 3, 0, 1, 3, 1, 2, 1, 3, 3, 4, 3, 1, 0, 2, 4, 3, 4, 0, 1, 0, 0] pubkeycol955 = [0, 3, 4, 3, 2, 0, 3, 1, 0, 4, 3, 3, 0, 4, 2, 3, 4, 0, 0, 0, 4, 1, 2, 4, 1, 3, 3, 2, 2, 4, 1, 4, 1, 1, 0, 3, 1, 1, 0, 1, 4, 4, 3, 1, 3, 2, 0, 2, 1, 2, 0, 3, 0, 4, 0, 3, 3, 3, 2, 3, 2, 0, 4, 1, 3, 1, 0, 0, 1, 1, 4, 4, 2, 4, 4, 1, 4, 3, 0, 0, 4, 2, 0, 3, 2, 3, 3, 1, 4, 3, 4, 1, 1, 4, 2, 1, 4, 2, 2, 0, 4, 3, 2, 0, 0, 3, 3, 2, 4, 3, 0, 0, 1, 3, 2, 4, 3, 1, 0, 4, 2, 0, 4, 0, 0, 1, 0, 4, 3, 2, 4, 3, 3, 0, 0, 0, 4, 0, 0, 1, 4, 1, 0, 0, 0, 1, 1, 0, 0, 3, 2, 0, 2, 1, 1, 3, 3, 2, 3, 4, 1, 2, 2, 0, 4, 1, 2, 4, 0, 4, 2, 2, 3, 3, 0, 0, 3, 4, 4, 2, 1, 2, 2, 2, 4, 3, 4, 4, 4, 3, 2, 2, 0, 3, 1, 4, 3, 0, 3, 3, 2, 1, 0, 3, 4, 0, 0, 1, 4, 2, 3, 3, 2, 0, 3, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 3, 4, 1, 2, 4, 4, 3, 0, 2, 0, 0, 3, 1, 4, 4, 4, 0, 1, 4, 0, 0, 1, 0, 0, 4, 1, 2, 4, 1, 4, 0, 1, 1, 2, 1, 4, 1, 4, 4, 3, 1, 4, 3, 0, 4, 1, 4, 3, 3, 0, 3, 1, 0, 1, 1, 1, 2, 4, 1, 3, 1, 2, 0, 1, 0, 4, 0, 1, 0, 4, 2, 3, 3, 1, 1, 3, 4, 3, 1, 1, 0, 4, 4, 4, 2, 4, 1, 4, 3, 4, 1, 4, 1, 3, 1, 3, 0, 2, 2, 4, 1, 1, 4, 4, 2, 4, 0, 1, 4, 0, 0, 0, 0, 3, 1, 0, 1, 2, 0, 3, 3, 0, 2, 1, 2, 3, 3, 4, 2, 3, 0, 4, 3, 0, 2, 3, 3, 4, 4, 4, 2, 0, 0, 1, 4, 3, 0, 4, 0, 2, 3, 1, 0, 0, 2, 0, 0, 3, 2, 3, 0, 1, 2, 1, 3, 3, 1, 4, 0, 1, 4, 0, 0, 4, 0, 4, 3, 0, 2, 0, 4, 3, 4, 1, 0, 3, 0, 3, 2, 2, 1, 4, 0, 1, 1, 3, 1, 0, 1, 3, 3, 4, 0, 3, 4, 0, 1, 4, 1, 0, 2, 3, 0, 2, 2, 4, 0, 1, 2, 2, 3, 0, 3, 0, 4, 4, 1, 4, 1, 2, 2, 4, 2, 2, 3, 3, 2, 2, 3, 2, 0, 1, 0, 3, 4, 2, 4, 0, 0, 3, 2, 1] pubkeycol956 = [3, 0, 0, 3, 4, 2, 0, 4, 4, 1, 2, 1, 0, 4, 4, 2, 3, 2, 2, 3, 1, 3, 3, 2, 4, 0, 0, 4, 0, 4, 4, 2, 2, 0, 1, 1, 0, 0, 3, 2, 4, 2, 0, 1, 4, 1, 3, 0, 0, 3, 4, 1, 1, 2, 4, 4, 0, 2, 1, 3, 0, 4, 3, 1, 4, 3, 2, 2, 1, 4, 1, 3, 2, 0, 1, 1, 2, 0, 3, 3, 2, 1, 0, 4, 4, 1, 0, 0, 3, 3, 4, 1, 1, 2, 2, 3, 3, 3, 1, 1, 0, 1, 1, 0, 3, 1, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 2, 0, 3, 1, 3, 0, 1, 3, 0, 3, 1, 3, 1, 4, 2, 4, 0, 0, 4, 3, 1, 4, 3, 1, 3, 0, 1, 3, 4, 2, 1, 1, 4, 4, 1, 1, 1, 4, 0, 3, 0, 4, 2, 2, 3, 3, 1, 0, 1, 0, 2, 3, 2, 2, 4, 1, 1, 1, 2, 0, 2, 0, 3, 2, 3, 3, 4, 1, 3, 0, 2, 3, 4, 0, 4, 2, 4, 0, 4, 4, 0, 4, 0, 1, 1, 1, 2, 3, 0, 4, 4, 4, 1, 2, 0, 1, 3, 4, 4, 4, 3, 3, 4, 2, 1, 3, 4, 0, 4, 4, 3, 3, 4, 2, 2, 4, 3, 4, 4, 1, 2, 1, 4, 0, 2, 2, 0, 1, 0, 4, 2, 1, 1, 1, 4, 4, 1, 3, 4, 4, 3, 4, 1, 2, 2, 4, 3, 3, 3, 0, 0, 1, 2, 0, 3, 4, 3, 4, 3, 1, 2, 4, 2, 2, 0, 1, 0, 0, 0, 4, 4, 4, 1, 3, 0, 2, 4, 0, 3, 3, 1, 4, 4, 2, 4, 4, 3, 3, 4, 2, 2, 0, 1, 2, 0, 1, 3, 2, 2, 2, 3, 2, 4, 0, 1, 0, 4, 3, 3, 4, 0, 1, 1, 2, 3, 2, 1, 2, 1, 4, 2, 4, 3, 3, 3, 0, 1, 4, 4, 0, 3, 3, 4, 3, 2, 0, 3, 1, 3, 4, 3, 2, 4, 1, 3, 4, 1, 0, 1, 3, 2, 3, 3, 0, 4, 4, 1, 0, 3, 2, 3, 0, 3, 4, 1, 2, 4, 4, 1, 3, 1, 3, 2, 0, 3, 4, 1, 3, 0, 0, 1, 4, 0, 3, 2, 3, 1, 0, 3, 4, 0, 0, 2, 1, 3, 2, 0, 1, 0, 4, 2, 0, 2, 0, 0, 1, 2, 4, 4, 2, 4, 1, 3, 2, 4, 4, 4, 2, 0, 4, 1, 0, 1, 2, 2, 3, 1, 0, 1, 4, 0, 3, 1, 4, 3, 1, 0, 3, 1, 1, 2, 4, 2, 3, 2, 0, 4, 3, 0, 0, 2, 3, 4, 1, 0, 0, 2, 2, 1, 4] pubkeycol957 = [3, 4, 3, 1, 1, 4, 3, 0, 3, 1, 3, 4, 2, 3, 3, 1, 2, 4, 0, 4, 0, 1, 2, 0, 0, 0, 0, 0, 3, 0, 1, 3, 4, 4, 3, 1, 1, 1, 3, 0, 0, 1, 2, 4, 2, 2, 0, 2, 4, 2, 2, 1, 4, 1, 0, 1, 2, 0, 3, 2, 0, 3, 0, 1, 2, 4, 2, 4, 0, 1, 4, 1, 0, 0, 1, 0, 4, 0, 3, 2, 2, 2, 0, 2, 3, 3, 4, 1, 4, 0, 4, 1, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 3, 4, 2, 1, 3, 4, 4, 2, 3, 0, 1, 4, 2, 0, 1, 3, 1, 4, 0, 3, 0, 0, 2, 0, 4, 1, 0, 3, 3, 0, 4, 2, 0, 4, 1, 0, 2, 1, 0, 1, 4, 3, 3, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 3, 3, 4, 1, 1, 0, 0, 3, 1, 1, 2, 0, 0, 1, 3, 4, 1, 3, 4, 2, 4, 1, 3, 4, 3, 4, 3, 0, 4, 1, 4, 3, 3, 0, 1, 0, 3, 4, 4, 4, 4, 1, 2, 4, 4, 1, 0, 3, 3, 2, 1, 3, 0, 1, 0, 0, 1, 4, 3, 4, 3, 1, 1, 1, 3, 4, 2, 4, 2, 3, 3, 0, 1, 1, 3, 0, 1, 0, 1, 0, 1, 3, 2, 1, 3, 3, 2, 1, 1, 3, 0, 4, 3, 4, 0, 1, 4, 2, 0, 0, 3, 0, 3, 4, 4, 3, 4, 4, 0, 0, 4, 0, 3, 1, 0, 0, 3, 4, 4, 1, 4, 3, 1, 4, 2, 0, 1, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 1, 4, 0, 0, 3, 0, 2, 0, 1, 2, 2, 0, 3, 2, 4, 0, 2, 1, 3, 3, 4, 4, 2, 3, 3, 2, 2, 1, 0, 4, 0, 1, 4, 2, 2, 4, 2, 2, 4, 3, 1, 2, 0, 2, 0, 1, 0, 4, 2, 1, 0, 1, 4, 0, 3, 0, 0, 3, 0, 1, 0, 3, 4, 3, 2, 2, 1, 1, 0, 3, 0, 4, 1, 2, 2, 1, 2, 0, 2, 0, 3, 3, 3, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 3, 2, 0, 4, 3, 2, 2, 4, 2, 0, 2, 0, 2, 0, 4, 2, 2, 2, 4, 4, 0, 0, 4, 1, 4, 4, 1, 0, 4, 3, 2, 3, 0, 2, 1, 2, 1, 3, 0, 3, 3, 0, 2, 4, 1, 0, 3, 3, 1, 2, 0, 1, 1, 4, 2, 0, 1, 3, 0, 2, 2, 0, 2, 3, 2, 1, 4, 1, 4, 3, 2, 2, 2, 4, 2, 3, 3, 0, 3, 0, 4, 2, 0, 4, 4, 1, 1, 4, 4, 4, 2, 2, 1] pubkeycol958 = [4, 0, 4, 3, 3, 0, 3, 1, 4, 0, 4, 4, 4, 2, 1, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 4, 1, 2, 1, 3, 3, 3, 3, 4, 0, 3, 2, 0, 0, 2, 1, 3, 1, 1, 4, 1, 3, 4, 3, 2, 2, 0, 2, 4, 3, 3, 1, 3, 3, 4, 3, 4, 3, 4, 2, 4, 2, 3, 2, 0, 4, 3, 3, 2, 2, 1, 0, 2, 3, 2, 1, 3, 4, 3, 4, 0, 0, 3, 3, 1, 0, 2, 1, 0, 3, 2, 0, 2, 0, 2, 3, 3, 1, 1, 4, 3, 4, 1, 3, 4, 4, 3, 3, 3, 4, 4, 1, 3, 3, 4, 2, 0, 1, 1, 1, 4, 3, 4, 4, 0, 0, 4, 0, 3, 2, 0, 4, 2, 2, 2, 4, 4, 4, 4, 4, 1, 0, 0, 1, 4, 3, 3, 1, 1, 2, 4, 2, 1, 4, 4, 4, 1, 4, 2, 0, 3, 0, 4, 0, 2, 1, 4, 0, 1, 0, 4, 4, 4, 0, 1, 3, 4, 4, 0, 3, 0, 2, 3, 0, 4, 2, 3, 4, 0, 4, 4, 1, 3, 0, 0, 3, 2, 0, 2, 1, 1, 4, 4, 1, 4, 1, 4, 2, 4, 2, 1, 3, 1, 1, 1, 4, 2, 0, 4, 3, 2, 4, 2, 1, 3, 0, 4, 3, 4, 3, 2, 4, 4, 4, 2, 2, 4, 4, 1, 3, 4, 3, 2, 0, 3, 3, 3, 1, 2, 3, 4, 1, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 4, 1, 2, 4, 4, 1, 4, 3, 2, 1, 0, 2, 0, 4, 3, 1, 0, 1, 3, 0, 3, 4, 4, 2, 0, 2, 3, 3, 3, 0, 4, 3, 3, 1, 0, 2, 0, 2, 1, 2, 3, 0, 4, 2, 0, 0, 4, 4, 2, 1, 4, 4, 2, 0, 3, 2, 4, 0, 2, 4, 3, 0, 1, 4, 2, 2, 0, 4, 1, 4, 2, 4, 1, 4, 1, 4, 0, 2, 4, 4, 0, 3, 4, 3, 2, 0, 4, 1, 3, 3, 3, 0, 1, 4, 0, 0, 3, 2, 1, 3, 2, 1, 2, 1, 0, 4, 2, 3, 3, 3, 3, 1, 1, 0, 2, 2, 0, 3, 2, 0, 1, 2, 1, 0, 2, 0, 3, 4, 2, 4, 2, 0, 4, 1, 2, 3, 2, 1, 2, 2, 0, 3, 2, 3, 0, 2, 4, 1, 1, 4, 4, 3, 3, 3, 4, 2, 1, 0, 3, 2, 4, 2, 2, 0, 3, 0, 3, 0, 1, 2, 3, 2, 2, 3, 0, 2, 0, 2, 1, 1, 0, 2, 4, 3, 4, 4, 1, 2, 1, 2, 3, 4, 4, 0, 2, 0, 2, 4, 4, 3, 4, 3, 2, 2, 2] pubkeycol959 = [2, 4, 1, 1, 0, 4, 1, 1, 3, 1, 0, 4, 1, 1, 3, 3, 4, 3, 4, 3, 1, 4, 4, 3, 0, 1, 2, 4, 1, 0, 4, 4, 3, 1, 0, 2, 3, 4, 3, 4, 0, 0, 1, 2, 4, 0, 1, 4, 1, 4, 0, 2, 4, 4, 3, 1, 3, 2, 4, 4, 0, 2, 0, 1, 4, 1, 3, 2, 3, 1, 2, 4, 1, 3, 1, 0, 0, 2, 0, 4, 2, 4, 4, 2, 3, 3, 4, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 3, 0, 0, 0, 2, 4, 0, 4, 3, 2, 3, 3, 0, 0, 1, 3, 1, 4, 3, 2, 1, 0, 4, 0, 2, 1, 0, 3, 2, 1, 1, 1, 3, 2, 1, 4, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 4, 0, 0, 1, 2, 4, 1, 3, 3, 2, 1, 2, 2, 2, 3, 1, 3, 2, 2, 3, 4, 0, 4, 1, 1, 2, 0, 1, 3, 2, 1, 1, 2, 0, 2, 3, 2, 4, 0, 0, 0, 2, 4, 4, 0, 3, 4, 3, 4, 3, 3, 3, 1, 4, 4, 0, 4, 2, 4, 0, 3, 2, 2, 1, 1, 0, 2, 4, 1, 4, 3, 4, 3, 1, 3, 3, 4, 2, 3, 4, 1, 3, 3, 3, 0, 1, 3, 3, 0, 0, 2, 2, 3, 1, 3, 1, 1, 0, 1, 4, 2, 3, 1, 1, 4, 3, 3, 1, 1, 4, 0, 3, 3, 4, 2, 4, 2, 1, 0, 4, 0, 3, 2, 4, 3, 4, 3, 0, 1, 4, 3, 2, 2, 3, 2, 0, 0, 1, 2, 2, 2, 2, 1, 4, 3, 0, 0, 1, 1, 0, 0, 1, 2, 3, 2, 1, 1, 1, 4, 0, 4, 4, 2, 0, 4, 3, 2, 0, 3, 4, 4, 3, 2, 0, 2, 2, 1, 0, 3, 3, 3, 1, 2, 1, 3, 4, 4, 0, 1, 1, 3, 0, 2, 4, 2, 0, 0, 4, 4, 1, 3, 1, 2, 2, 3, 2, 0, 4, 0, 3, 0, 2, 4, 0, 2, 4, 2, 1, 0, 1, 2, 2, 1, 1, 2, 4, 1, 0, 3, 1, 0, 4, 2, 4, 1, 1, 1, 3, 2, 4, 0, 1, 1, 1, 4, 2, 2, 4, 1, 0, 0, 2, 1, 4, 3, 0, 0, 2, 4, 4, 1, 4, 4, 0, 4, 3, 3, 0, 3, 1, 1, 0, 3, 2, 4, 0, 1, 1, 3, 4, 0, 2, 0, 3, 0, 1, 4, 2, 4, 2, 2, 4, 3, 4, 2, 0, 1, 1, 0, 3, 0, 1, 1, 2, 1, 4, 2, 0, 4, 1, 3, 3, 2, 3, 2, 2, 4, 1, 3, 3, 1, 4, 4, 0, 3, 3, 1, 3, 0, 1, 2, 3] pubkeycol960 = [3, 3, 1, 2, 4, 1, 1, 1, 2, 3, 1, 2, 3, 2, 2, 4, 3, 2, 4, 1, 0, 4, 3, 2, 2, 4, 3, 1, 4, 0, 3, 1, 0, 0, 1, 1, 1, 3, 4, 3, 1, 3, 4, 3, 4, 0, 4, 3, 4, 3, 1, 3, 4, 0, 2, 3, 2, 2, 0, 3, 0, 1, 0, 4, 3, 2, 2, 0, 3, 2, 3, 3, 2, 2, 2, 3, 1, 0, 3, 1, 4, 1, 0, 0, 2, 2, 0, 3, 0, 2, 3, 3, 4, 0, 4, 0, 3, 2, 4, 3, 4, 1, 1, 0, 2, 1, 4, 4, 3, 2, 4, 3, 3, 0, 1, 2, 1, 1, 2, 3, 2, 3, 2, 3, 0, 4, 0, 2, 3, 4, 4, 3, 2, 0, 3, 4, 1, 0, 3, 3, 2, 2, 2, 0, 1, 4, 3, 0, 1, 1, 4, 3, 4, 3, 2, 3, 4, 4, 2, 2, 4, 2, 2, 4, 3, 3, 4, 2, 4, 0, 2, 2, 0, 2, 4, 3, 3, 3, 4, 4, 4, 0, 3, 4, 0, 3, 2, 3, 3, 0, 2, 2, 0, 2, 0, 2, 2, 0, 4, 4, 0, 4, 3, 1, 4, 2, 1, 0, 0, 2, 4, 2, 1, 2, 2, 0, 4, 2, 2, 1, 0, 1, 2, 1, 2, 2, 4, 1, 4, 4, 1, 3, 3, 4, 4, 0, 0, 3, 3, 2, 3, 0, 1, 2, 4, 4, 2, 0, 0, 2, 3, 4, 4, 3, 2, 2, 2, 4, 3, 1, 1, 0, 1, 1, 3, 3, 4, 2, 4, 4, 1, 3, 4, 0, 3, 1, 2, 0, 3, 2, 1, 4, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 4, 0, 2, 3, 3, 1, 1, 1, 4, 0, 4, 1, 2, 1, 4, 4, 4, 3, 1, 4, 1, 1, 4, 3, 4, 1, 4, 0, 2, 1, 3, 3, 1, 2, 4, 0, 3, 4, 2, 0, 4, 2, 4, 4, 1, 1, 0, 4, 3, 1, 1, 4, 1, 1, 0, 0, 3, 4, 3, 1, 2, 2, 3, 0, 0, 2, 3, 1, 3, 2, 3, 0, 0, 2, 3, 0, 4, 4, 2, 2, 1, 4, 4, 3, 1, 4, 4, 3, 0, 4, 0, 4, 4, 3, 1, 4, 0, 3, 2, 2, 0, 3, 2, 2, 2, 4, 3, 3, 2, 2, 1, 3, 1, 4, 1, 1, 0, 4, 1, 3, 2, 1, 0, 3, 4, 4, 0, 1, 2, 4, 0, 4, 4, 4, 3, 3, 0, 0, 3, 0, 1, 1, 2, 1, 4, 0, 3, 3, 1, 0, 0, 1, 1, 4, 2, 4, 2, 3, 0, 0, 0, 2, 4, 3, 0, 3, 2, 0, 2, 1, 4, 2, 4, 2, 4, 3, 3, 2, 1, 4, 4, 3, 1, 4, 0, 0, 1] pubkeycol961 = [1, 1, 3, 3, 3, 4, 2, 3, 1, 0, 1, 3, 2, 1, 4, 1, 1, 1, 1, 0, 2, 1, 1, 3, 1, 4, 2, 3, 1, 0, 3, 1, 4, 2, 4, 4, 4, 3, 3, 4, 1, 4, 2, 2, 2, 4, 4, 1, 2, 4, 3, 2, 1, 4, 1, 4, 4, 3, 2, 4, 4, 3, 3, 0, 1, 4, 0, 2, 3, 3, 4, 4, 4, 3, 1, 4, 0, 4, 2, 3, 1, 2, 3, 4, 1, 2, 2, 0, 4, 3, 2, 3, 0, 2, 0, 0, 2, 0, 0, 2, 3, 3, 3, 4, 3, 3, 1, 1, 3, 3, 3, 4, 3, 2, 0, 1, 3, 4, 1, 2, 4, 0, 3, 3, 1, 2, 0, 3, 1, 4, 4, 1, 1, 3, 0, 4, 0, 0, 0, 0, 1, 1, 0, 1, 4, 2, 1, 2, 4, 1, 1, 2, 2, 2, 0, 0, 4, 0, 4, 4, 0, 1, 3, 1, 3, 4, 2, 4, 4, 4, 0, 1, 1, 2, 4, 4, 2, 0, 3, 0, 0, 4, 2, 1, 3, 3, 3, 1, 1, 3, 4, 1, 1, 1, 0, 1, 3, 1, 4, 0, 0, 3, 2, 1, 4, 2, 3, 3, 3, 1, 2, 1, 3, 4, 1, 0, 1, 3, 3, 0, 2, 2, 1, 4, 3, 2, 3, 0, 4, 4, 3, 3, 1, 4, 3, 2, 3, 0, 4, 0, 1, 0, 4, 0, 4, 3, 4, 2, 4, 2, 4, 2, 0, 1, 2, 4, 0, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 0, 2, 4, 4, 2, 4, 0, 0, 1, 0, 4, 3, 0, 0, 4, 4, 0, 0, 4, 0, 1, 4, 4, 3, 0, 1, 2, 4, 2, 3, 2, 4, 2, 2, 4, 3, 1, 1, 0, 2, 1, 3, 3, 0, 0, 4, 4, 1, 1, 0, 3, 2, 0, 2, 1, 1, 3, 0, 2, 3, 2, 3, 1, 3, 3, 4, 0, 4, 2, 3, 4, 1, 4, 1, 3, 2, 2, 0, 0, 1, 2, 2, 3, 0, 4, 1, 2, 3, 0, 0, 4, 1, 2, 4, 3, 3, 4, 0, 4, 0, 4, 1, 2, 3, 2, 2, 0, 2, 0, 4, 1, 2, 1, 3, 3, 2, 2, 4, 1, 3, 3, 4, 3, 3, 0, 4, 2, 0, 1, 4, 1, 1, 1, 3, 3, 1, 0, 0, 0, 1, 3, 4, 4, 3, 3, 4, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 0, 0, 3, 1, 3, 3, 4, 0, 3, 1, 1, 0, 3, 2, 4, 4, 0, 0, 1, 4, 2, 2, 3, 3, 1, 3, 2, 3, 1, 2, 2, 4, 4, 0, 2, 2, 1, 3, 2, 1, 3, 3, 4, 1, 2, 4, 2, 3, 1, 3, 2, 1, 2, 4, 0, 0, 2] pubkeycol962 = [0, 3, 4, 1, 0, 2, 4, 1, 2, 4, 4, 4, 1, 1, 4, 4, 0, 2, 3, 1, 1, 2, 3, 3, 0, 3, 4, 4, 4, 0, 4, 2, 4, 0, 0, 3, 1, 2, 4, 3, 2, 2, 3, 3, 0, 2, 3, 1, 0, 3, 1, 3, 0, 2, 4, 1, 2, 4, 2, 1, 3, 1, 3, 2, 4, 0, 2, 1, 3, 4, 0, 4, 2, 1, 1, 4, 2, 3, 0, 3, 1, 0, 2, 0, 1, 0, 2, 0, 4, 4, 4, 0, 4, 4, 3, 1, 1, 3, 4, 4, 3, 0, 4, 4, 0, 3, 4, 2, 0, 0, 2, 3, 1, 0, 2, 0, 2, 2, 4, 0, 4, 2, 2, 4, 1, 4, 0, 1, 3, 2, 4, 1, 4, 4, 3, 2, 4, 1, 3, 0, 1, 0, 2, 2, 3, 1, 1, 2, 1, 0, 1, 4, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 3, 3, 0, 0, 1, 0, 3, 4, 3, 1, 3, 0, 0, 4, 3, 2, 4, 1, 1, 4, 1, 0, 3, 1, 0, 1, 3, 0, 1, 0, 2, 3, 2, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 3, 0, 4, 2, 2, 4, 1, 3, 2, 3, 2, 2, 0, 2, 2, 3, 2, 2, 2, 0, 0, 3, 0, 2, 0, 0, 0, 4, 1, 0, 3, 2, 1, 0, 1, 1, 4, 0, 0, 2, 3, 1, 4, 4, 3, 1, 0, 1, 2, 0, 2, 4, 3, 1, 4, 3, 2, 1, 0, 1, 4, 0, 4, 3, 1, 0, 3, 2, 4, 0, 4, 0, 3, 3, 4, 2, 0, 1, 2, 1, 2, 4, 2, 2, 3, 2, 4, 2, 3, 2, 0, 2, 3, 3, 1, 1, 3, 3, 4, 4, 1, 3, 3, 0, 3, 3, 2, 2, 4, 1, 4, 2, 0, 3, 3, 0, 0, 3, 0, 2, 1, 0, 1, 3, 0, 1, 2, 0, 2, 3, 3, 2, 2, 1, 1, 2, 1, 0, 3, 1, 2, 1, 0, 0, 1, 2, 3, 4, 2, 3, 1, 3, 0, 2, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 4, 3, 2, 2, 2, 2, 4, 2, 2, 2, 0, 1, 4, 0, 4, 4, 3, 4, 2, 1, 0, 1, 0, 3, 3, 3, 1, 2, 1, 1, 1, 1, 3, 4, 4, 0, 3, 0, 0, 4, 2, 3, 3, 2, 4, 2, 2, 3, 0, 1, 2, 1, 2, 4, 3, 1, 0, 2, 4, 1, 3, 4, 0, 4, 3, 2, 1, 4, 0, 2, 1, 0, 1, 3, 4, 2, 0, 2, 3, 2, 4, 3, 3, 0, 2, 2, 4, 2, 0, 3, 4, 2, 3, 2, 4, 2, 0, 3, 0, 2] pubkeycol963 = [0, 0, 0, 2, 4, 0, 0, 0, 4, 2, 0, 3, 0, 2, 2, 1, 3, 3, 2, 3, 2, 0, 0, 1, 3, 1, 0, 2, 3, 1, 1, 2, 3, 3, 2, 1, 2, 1, 2, 3, 3, 1, 1, 3, 2, 2, 3, 2, 1, 3, 2, 1, 4, 4, 3, 4, 2, 2, 1, 4, 0, 4, 0, 2, 2, 3, 3, 2, 4, 2, 4, 1, 4, 3, 1, 2, 1, 2, 2, 4, 3, 3, 0, 1, 1, 1, 0, 1, 3, 2, 0, 0, 1, 1, 2, 0, 4, 1, 1, 1, 1, 2, 1, 4, 3, 0, 0, 2, 2, 1, 2, 2, 1, 1, 3, 1, 2, 4, 1, 4, 0, 1, 1, 0, 4, 0, 3, 1, 0, 3, 4, 2, 2, 4, 0, 1, 4, 1, 3, 1, 2, 0, 0, 1, 1, 3, 0, 1, 0, 3, 4, 1, 0, 2, 4, 3, 4, 0, 4, 1, 0, 3, 1, 4, 4, 0, 0, 0, 2, 4, 1, 0, 0, 1, 1, 1, 0, 2, 3, 3, 4, 1, 1, 4, 2, 4, 0, 2, 4, 1, 3, 4, 3, 4, 1, 3, 2, 1, 3, 1, 1, 2, 0, 0, 2, 0, 1, 0, 4, 4, 1, 0, 3, 4, 4, 3, 2, 0, 4, 3, 1, 0, 4, 3, 4, 4, 2, 3, 3, 0, 2, 2, 0, 0, 3, 2, 3, 1, 4, 3, 0, 2, 4, 0, 2, 1, 3, 3, 3, 0, 0, 3, 3, 3, 1, 2, 0, 1, 4, 1, 1, 4, 3, 3, 3, 3, 2, 2, 3, 2, 4, 2, 2, 4, 3, 2, 1, 2, 2, 2, 0, 4, 1, 4, 2, 2, 2, 3, 4, 3, 4, 4, 0, 0, 2, 2, 2, 4, 0, 3, 4, 3, 1, 2, 0, 2, 4, 2, 1, 0, 2, 3, 4, 1, 4, 3, 2, 2, 1, 0, 4, 1, 2, 2, 4, 4, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 3, 4, 4, 4, 2, 0, 1, 1, 1, 2, 4, 1, 2, 1, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 1, 4, 3, 4, 3, 3, 2, 3, 4, 2, 0, 3, 0, 3, 3, 4, 1, 3, 1, 2, 3, 0, 0, 0, 0, 0, 3, 2, 2, 3, 1, 0, 4, 0, 1, 4, 0, 0, 0, 4, 0, 1, 4, 3, 1, 0, 3, 3, 2, 1, 3, 3, 2, 0, 3, 1, 4, 3, 3, 1, 1, 2, 2, 1, 1, 3, 0, 1, 4, 4, 1, 1, 3, 1, 2, 1, 0, 0, 0, 1, 4, 3, 1, 2, 3, 2, 4, 3, 0, 0, 3, 1, 2, 4, 4, 1, 4, 1, 2, 3, 3, 0, 1, 3, 4, 1, 3, 0, 3, 0, 1, 3, 3, 1, 0] pubkeycol964 = [1, 1, 0, 1, 2, 2, 3, 4, 0, 1, 0, 3, 1, 0, 0, 2, 3, 0, 1, 3, 4, 3, 4, 1, 0, 4, 2, 3, 2, 2, 3, 4, 2, 3, 3, 1, 4, 0, 3, 4, 4, 2, 1, 2, 3, 1, 3, 4, 2, 2, 3, 0, 0, 1, 4, 3, 4, 1, 2, 3, 4, 0, 3, 1, 3, 1, 3, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 4, 1, 4, 3, 2, 0, 0, 4, 1, 2, 2, 1, 0, 1, 3, 0, 1, 4, 3, 0, 1, 1, 2, 2, 1, 3, 1, 2, 0, 2, 0, 0, 3, 4, 0, 4, 0, 4, 2, 0, 0, 2, 4, 0, 3, 2, 3, 4, 1, 0, 4, 0, 3, 3, 4, 0, 1, 3, 0, 4, 1, 1, 0, 4, 1, 1, 1, 0, 3, 3, 4, 1, 3, 0, 4, 2, 2, 0, 3, 2, 4, 4, 1, 2, 2, 2, 2, 1, 2, 2, 0, 4, 4, 4, 0, 3, 1, 1, 4, 0, 0, 2, 4, 2, 2, 0, 0, 2, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 1, 1, 2, 3, 0, 4, 4, 3, 0, 1, 4, 1, 3, 1, 1, 4, 4, 2, 0, 0, 4, 3, 4, 1, 2, 1, 4, 1, 3, 0, 4, 2, 1, 1, 1, 1, 2, 1, 4, 3, 4, 0, 1, 3, 2, 2, 4, 2, 3, 2, 4, 3, 2, 1, 4, 0, 4, 0, 2, 0, 1, 1, 1, 0, 3, 0, 0, 4, 1, 1, 3, 1, 2, 0, 2, 0, 3, 4, 1, 0, 2, 1, 1, 4, 1, 4, 3, 0, 1, 3, 2, 4, 2, 4, 3, 4, 4, 3, 2, 3, 1, 4, 4, 4, 3, 2, 0, 0, 4, 3, 3, 4, 3, 2, 4, 1, 2, 2, 2, 0, 3, 3, 3, 0, 1, 3, 1, 1, 0, 0, 2, 2, 2, 3, 0, 3, 4, 4, 2, 1, 4, 2, 4, 4, 4, 0, 4, 0, 3, 4, 4, 2, 4, 0, 2, 2, 1, 0, 4, 3, 1, 1, 4, 2, 3, 1, 3, 0, 2, 4, 0, 1, 4, 4, 2, 4, 4, 2, 3, 0, 0, 4, 0, 3, 0, 1, 1, 3, 4, 0, 0, 0, 4, 0, 3, 4, 1, 1, 1, 3, 3, 0, 0, 2, 3, 4, 2, 2, 4, 0, 3, 2, 4, 3, 1, 4, 3, 0, 2, 0, 2, 0, 3, 3, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 3, 4, 2, 2, 1, 1, 2, 4, 3, 3, 4, 4, 1, 3, 0, 4, 1, 2, 1, 3, 4, 2, 0, 0, 0, 2, 0, 1, 4, 4, 3, 2, 0, 1, 3, 0, 0, 4, 0, 3, 0, 4, 1, 3, 0, 1, 3, 1, 0, 2] pubkeycol965 = [1, 2, 2, 2, 0, 3, 1, 0, 2, 4, 2, 1, 4, 2, 0, 2, 1, 2, 1, 0, 3, 3, 3, 0, 2, 0, 1, 3, 4, 2, 4, 2, 0, 1, 2, 0, 3, 3, 3, 3, 3, 4, 1, 4, 2, 3, 0, 4, 3, 0, 4, 1, 1, 3, 3, 4, 1, 2, 2, 0, 2, 3, 4, 3, 0, 3, 0, 2, 2, 1, 0, 2, 4, 4, 1, 1, 0, 3, 1, 3, 4, 2, 0, 0, 0, 4, 2, 2, 2, 1, 3, 4, 4, 0, 3, 4, 2, 4, 1, 0, 0, 3, 0, 0, 3, 2, 3, 4, 3, 0, 3, 3, 0, 4, 0, 1, 2, 3, 0, 4, 2, 2, 2, 0, 1, 2, 2, 3, 1, 0, 2, 2, 4, 0, 3, 3, 0, 3, 4, 3, 3, 3, 1, 0, 4, 0, 4, 3, 3, 4, 0, 2, 0, 0, 3, 4, 0, 3, 1, 3, 2, 1, 1, 3, 4, 4, 3, 0, 2, 4, 0, 0, 0, 3, 4, 0, 4, 4, 2, 4, 4, 2, 2, 4, 0, 0, 4, 0, 2, 2, 2, 3, 0, 4, 1, 2, 2, 1, 4, 2, 1, 4, 3, 3, 3, 1, 0, 4, 3, 3, 4, 0, 3, 4, 1, 2, 3, 1, 1, 2, 1, 0, 1, 1, 2, 3, 2, 0, 1, 0, 4, 2, 0, 4, 3, 4, 0, 2, 2, 4, 3, 3, 4, 2, 0, 2, 2, 2, 0, 0, 3, 1, 0, 4, 2, 2, 4, 1, 1, 4, 0, 4, 1, 1, 2, 4, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 2, 0, 3, 4, 2, 3, 4, 1, 2, 0, 3, 4, 4, 4, 0, 2, 4, 2, 4, 2, 0, 1, 4, 4, 4, 3, 1, 0, 3, 4, 4, 0, 4, 1, 1, 1, 2, 4, 1, 0, 1, 4, 4, 4, 4, 4, 1, 2, 4, 2, 0, 0, 4, 0, 2, 3, 1, 0, 2, 2, 3, 3, 2, 2, 0, 3, 2, 0, 4, 1, 2, 0, 4, 2, 3, 0, 1, 4, 1, 1, 1, 0, 0, 4, 0, 1, 4, 4, 4, 4, 2, 3, 1, 1, 0, 4, 3, 3, 2, 3, 4, 0, 0, 1, 0, 1, 0, 3, 3, 3, 3, 1, 2, 3, 2, 2, 2, 1, 4, 1, 4, 3, 3, 0, 4, 3, 2, 3, 2, 4, 2, 2, 1, 3, 3, 3, 0, 4, 0, 2, 0, 0, 2, 3, 1, 4, 2, 1, 3, 0, 2, 0, 2, 3, 1, 3, 2, 2, 1, 0, 1, 3, 2, 2, 2, 3, 2, 3, 4, 4, 3, 1, 0, 3, 1, 4, 0, 0, 3, 3, 0, 0, 4, 0, 0, 3, 4, 0, 3, 2, 2, 1, 0, 2, 0, 0, 1, 2, 3, 4, 0, 4, 2, 2] pubkeycol966 = [4, 1, 3, 1, 0, 0, 1, 1, 0, 0, 4, 0, 1, 3, 3, 4, 1, 0, 3, 1, 0, 4, 1, 4, 3, 1, 2, 3, 4, 3, 2, 2, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 4, 3, 0, 3, 4, 2, 4, 3, 3, 4, 0, 1, 4, 0, 1, 2, 4, 0, 2, 0, 3, 0, 4, 0, 4, 2, 1, 0, 2, 2, 3, 1, 1, 4, 1, 1, 0, 3, 2, 3, 0, 4, 3, 2, 0, 4, 1, 0, 2, 1, 3, 2, 4, 1, 2, 1, 0, 0, 0, 4, 1, 4, 0, 3, 4, 3, 4, 4, 3, 2, 2, 2, 0, 3, 1, 3, 2, 2, 1, 4, 1, 3, 3, 2, 1, 4, 4, 3, 0, 2, 0, 2, 1, 1, 4, 2, 2, 4, 2, 1, 0, 0, 4, 4, 0, 2, 2, 3, 2, 0, 4, 2, 3, 0, 0, 2, 2, 2, 0, 2, 1, 0, 4, 3, 1, 2, 0, 3, 2, 0, 0, 4, 1, 2, 3, 4, 0, 3, 3, 0, 0, 4, 1, 1, 3, 3, 1, 1, 2, 3, 0, 0, 2, 4, 2, 2, 2, 4, 1, 2, 1, 0, 4, 3, 2, 2, 0, 0, 3, 3, 3, 3, 2, 4, 1, 2, 4, 4, 0, 3, 1, 2, 4, 1, 3, 3, 3, 4, 2, 1, 2, 4, 3, 2, 4, 4, 4, 4, 3, 1, 0, 4, 0, 2, 4, 2, 4, 0, 2, 0, 3, 2, 0, 3, 1, 2, 4, 4, 3, 0, 1, 4, 2, 2, 0, 3, 1, 0, 2, 1, 1, 3, 1, 4, 3, 4, 4, 3, 4, 3, 0, 4, 4, 1, 1, 0, 3, 0, 1, 3, 1, 2, 1, 3, 3, 1, 2, 0, 2, 4, 4, 2, 4, 1, 1, 2, 0, 3, 0, 2, 4, 0, 3, 4, 3, 2, 0, 4, 3, 2, 0, 0, 3, 0, 4, 3, 4, 4, 0, 0, 0, 4, 2, 2, 4, 1, 0, 4, 3, 2, 1, 2, 4, 3, 4, 4, 3, 2, 4, 4, 2, 1, 2, 2, 0, 0, 0, 3, 1, 4, 1, 4, 0, 3, 4, 3, 3, 3, 1, 4, 1, 3, 0, 0, 1, 2, 0, 4, 4, 4, 0, 0, 2, 3, 4, 0, 1, 2, 1, 0, 0, 2, 3, 0, 1, 0, 0, 2, 3, 4, 0, 1, 4, 4, 2, 3, 0, 0, 0, 4, 4, 2, 4, 2, 0, 0, 2, 4, 4, 1, 3, 2, 3, 3, 3, 3, 1, 0, 4, 1, 0, 4, 3, 4, 0, 1, 0, 4, 0, 3, 0, 2, 2, 0, 0, 2, 3, 3, 2, 2, 4, 0, 4, 4, 2, 4, 2, 2, 1, 0, 0, 2, 2, 1, 4, 4, 3, 1, 3, 2, 2, 1, 0, 0, 4, 0, 2, 4] pubkeycol967 = [2, 1, 2, 2, 2, 1, 3, 1, 2, 1, 0, 3, 1, 2, 0, 2, 0, 2, 2, 0, 0, 4, 1, 3, 4, 2, 4, 1, 3, 4, 3, 3, 4, 1, 0, 2, 4, 3, 4, 0, 0, 2, 2, 0, 0, 2, 4, 1, 2, 3, 1, 2, 2, 4, 0, 2, 0, 3, 1, 4, 2, 2, 0, 2, 2, 3, 2, 2, 4, 1, 4, 2, 1, 4, 3, 2, 1, 1, 4, 3, 3, 2, 3, 3, 2, 1, 2, 0, 2, 4, 3, 4, 3, 1, 2, 3, 3, 1, 4, 4, 0, 3, 2, 2, 3, 2, 4, 1, 1, 4, 2, 3, 3, 3, 4, 2, 2, 4, 0, 3, 3, 1, 2, 0, 2, 1, 4, 1, 0, 4, 0, 2, 2, 1, 1, 3, 3, 0, 3, 2, 2, 1, 1, 2, 1, 2, 3, 3, 0, 0, 3, 2, 3, 3, 2, 4, 3, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 1, 2, 3, 2, 0, 1, 3, 2, 2, 1, 4, 3, 1, 2, 2, 0, 1, 2, 3, 0, 2, 0, 0, 4, 4, 2, 3, 4, 2, 4, 3, 2, 2, 3, 2, 1, 4, 2, 4, 0, 4, 1, 1, 3, 0, 3, 1, 4, 1, 3, 1, 0, 1, 4, 4, 0, 1, 2, 1, 1, 0, 4, 0, 0, 0, 1, 4, 1, 1, 2, 4, 4, 1, 3, 2, 2, 1, 4, 2, 1, 0, 0, 3, 2, 0, 2, 0, 1, 3, 2, 3, 0, 0, 2, 0, 0, 4, 0, 1, 1, 1, 3, 0, 0, 4, 3, 0, 3, 3, 4, 4, 4, 1, 3, 4, 2, 4, 3, 2, 0, 2, 4, 2, 0, 2, 1, 0, 2, 0, 4, 0, 1, 0, 2, 2, 0, 0, 4, 4, 2, 2, 3, 3, 1, 1, 2, 1, 0, 3, 3, 1, 0, 2, 0, 3, 3, 2, 0, 4, 1, 4, 3, 4, 4, 3, 0, 4, 2, 0, 2, 4, 3, 4, 1, 1, 2, 3, 4, 3, 1, 2, 3, 1, 1, 3, 3, 2, 4, 1, 2, 3, 1, 0, 2, 4, 1, 1, 0, 2, 3, 3, 2, 4, 0, 4, 0, 2, 4, 1, 2, 4, 3, 1, 3, 4, 2, 2, 3, 4, 1, 2, 1, 3, 0, 2, 4, 1, 3, 4, 1, 1, 2, 1, 0, 1, 2, 1, 1, 3, 0, 3, 1, 4, 4, 0, 2, 3, 3, 2, 0, 0, 1, 2, 2, 4, 1, 0, 4, 4, 0, 2, 1, 2, 2, 0, 0, 4, 1, 2, 2, 2, 4, 4, 1, 0, 2, 0, 3, 3, 2, 0, 1, 3, 0, 1, 2, 4, 0, 1, 3, 1, 0, 4, 3, 4, 1, 4, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol968 = [0, 4, 4, 2, 0, 0, 2, 3, 3, 3, 0, 2, 4, 3, 2, 1, 3, 1, 1, 3, 4, 1, 2, 3, 0, 2, 0, 3, 4, 1, 4, 4, 1, 0, 1, 2, 4, 4, 3, 2, 0, 1, 0, 0, 0, 0, 0, 0, 3, 1, 0, 3, 1, 3, 1, 3, 2, 2, 2, 0, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 1, 1, 3, 0, 3, 4, 3, 2, 1, 1, 3, 1, 4, 3, 4, 0, 4, 3, 4, 3, 4, 2, 3, 0, 1, 3, 2, 0, 3, 0, 1, 3, 0, 0, 2, 1, 1, 4, 3, 4, 2, 1, 0, 2, 4, 2, 1, 2, 4, 1, 3, 3, 0, 3, 4, 4, 4, 0, 3, 3, 1, 2, 4, 3, 2, 4, 2, 3, 1, 4, 3, 4, 4, 0, 3, 0, 2, 2, 1, 2, 2, 2, 4, 2, 2, 0, 3, 3, 0, 1, 3, 2, 0, 1, 3, 2, 4, 1, 2, 2, 1, 3, 0, 3, 3, 2, 0, 0, 2, 2, 1, 3, 0, 4, 2, 1, 1, 4, 4, 2, 3, 3, 1, 1, 1, 4, 3, 3, 0, 1, 1, 3, 1, 2, 2, 4, 4, 4, 2, 4, 1, 4, 1, 0, 3, 1, 3, 2, 4, 0, 2, 3, 4, 2, 0, 4, 4, 0, 1, 3, 3, 2, 1, 1, 1, 4, 3, 4, 0, 4, 4, 1, 4, 2, 1, 3, 3, 1, 3, 3, 4, 0, 3, 0, 3, 2, 1, 0, 0, 4, 0, 1, 2, 3, 4, 2, 2, 1, 4, 0, 1, 3, 3, 2, 0, 0, 3, 4, 1, 1, 1, 2, 0, 3, 4, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 4, 2, 4, 4, 0, 2, 1, 3, 1, 1, 1, 4, 3, 0, 3, 1, 1, 3, 2, 0, 1, 0, 2, 1, 3, 2, 0, 4, 3, 1, 2, 0, 1, 2, 0, 1, 1, 3, 2, 4, 4, 0, 3, 4, 1, 4, 3, 0, 3, 4, 3, 0, 3, 1, 4, 1, 0, 1, 3, 2, 4, 4, 1, 1, 0, 3, 0, 2, 4, 0, 3, 2, 2, 4, 1, 3, 3, 2, 3, 1, 0, 2, 4, 2, 0, 1, 0, 4, 4, 2, 3, 0, 2, 1, 2, 4, 4, 4, 3, 2, 3, 1, 1, 0, 2, 1, 0, 3, 1, 2, 0, 0, 2, 4, 3, 2, 0, 4, 4, 2, 2, 4, 2, 3, 3, 3, 1, 2, 0, 0, 1, 1, 4, 3, 2, 2, 2, 1, 0, 0, 0, 1, 4, 0, 4, 2, 3, 1, 4, 3, 1, 0, 3, 2, 3, 4, 4, 1, 2, 3, 2, 0, 0, 3, 3, 4, 0, 1, 4, 3, 4, 0, 4, 4, 0, 0, 1, 4, 2, 3, 4, 1, 2] pubkeycol969 = [0, 1, 1, 1, 4, 0, 2, 3, 0, 1, 0, 3, 2, 2, 4, 0, 1, 4, 3, 4, 3, 0, 2, 0, 2, 2, 4, 4, 2, 2, 3, 2, 0, 1, 4, 1, 3, 1, 3, 3, 3, 2, 4, 2, 4, 3, 2, 2, 1, 4, 3, 3, 0, 1, 1, 4, 3, 0, 1, 2, 1, 1, 4, 3, 4, 2, 0, 4, 3, 1, 0, 1, 0, 4, 3, 2, 3, 0, 3, 2, 3, 4, 3, 4, 4, 4, 1, 4, 1, 0, 1, 4, 3, 0, 2, 2, 3, 4, 4, 3, 3, 1, 4, 2, 1, 2, 2, 4, 0, 1, 3, 4, 1, 0, 0, 2, 2, 4, 1, 3, 2, 2, 2, 0, 3, 2, 1, 1, 1, 0, 0, 4, 4, 2, 3, 3, 3, 0, 3, 3, 3, 0, 4, 3, 1, 3, 3, 1, 0, 4, 0, 4, 0, 2, 0, 4, 3, 2, 2, 0, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 4, 4, 3, 0, 1, 0, 1, 0, 1, 4, 1, 2, 1, 3, 2, 0, 4, 4, 3, 4, 3, 0, 1, 1, 4, 0, 1, 4, 4, 0, 4, 2, 2, 2, 0, 2, 4, 4, 0, 0, 2, 3, 3, 4, 4, 3, 1, 3, 4, 3, 2, 0, 1, 2, 0, 0, 1, 2, 2, 3, 0, 1, 1, 0, 3, 2, 0, 1, 3, 2, 1, 3, 4, 0, 4, 0, 4, 2, 3, 0, 0, 0, 2, 1, 4, 2, 3, 2, 2, 2, 1, 0, 0, 2, 4, 1, 3, 3, 4, 3, 3, 4, 0, 1, 2, 1, 4, 4, 4, 3, 4, 0, 1, 3, 1, 0, 2, 3, 0, 2, 1, 0, 0, 4, 0, 0, 3, 2, 4, 4, 3, 2, 1, 2, 4, 2, 0, 3, 1, 4, 0, 3, 3, 4, 4, 3, 4, 0, 3, 0, 3, 0, 2, 1, 0, 4, 4, 4, 3, 3, 3, 2, 1, 3, 3, 3, 3, 3, 3, 0, 2, 2, 1, 0, 2, 3, 0, 0, 2, 3, 3, 3, 1, 1, 1, 0, 4, 2, 2, 4, 0, 4, 1, 3, 1, 4, 1, 0, 4, 1, 4, 2, 0, 3, 4, 2, 4, 3, 3, 3, 4, 3, 3, 0, 1, 4, 1, 4, 2, 4, 3, 3, 4, 1, 3, 0, 2, 1, 4, 2, 2, 0, 0, 0, 1, 2, 0, 2, 4, 3, 4, 3, 1, 1, 4, 2, 0, 0, 3, 1, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 2, 0, 2, 4, 1, 0, 2, 4, 0, 4, 3, 3, 1, 3, 0, 0, 1, 4, 3, 1, 1, 1, 1, 0, 4, 4, 1, 1, 1, 3, 3, 2, 3, 1, 0, 3, 4, 0, 1, 4, 0, 4, 0] pubkeycol970 = [3, 2, 4, 0, 0, 4, 1, 4, 2, 0, 4, 2, 4, 3, 0, 2, 3, 1, 2, 4, 0, 1, 4, 2, 1, 1, 3, 1, 0, 2, 2, 1, 4, 0, 3, 3, 0, 1, 4, 3, 2, 2, 0, 2, 0, 4, 0, 0, 1, 1, 2, 4, 4, 0, 3, 4, 4, 3, 4, 0, 3, 2, 0, 3, 2, 3, 4, 4, 1, 1, 1, 4, 1, 2, 3, 3, 1, 0, 0, 3, 0, 4, 1, 3, 0, 4, 0, 2, 0, 1, 0, 1, 2, 4, 4, 0, 4, 2, 3, 3, 2, 4, 4, 2, 2, 3, 4, 4, 1, 4, 1, 1, 4, 4, 2, 4, 2, 4, 2, 3, 2, 0, 1, 1, 3, 0, 2, 3, 1, 2, 0, 1, 1, 0, 3, 3, 1, 2, 3, 3, 4, 4, 0, 1, 4, 3, 2, 0, 1, 3, 4, 3, 2, 1, 1, 3, 3, 1, 4, 4, 0, 4, 3, 2, 4, 1, 0, 3, 2, 3, 2, 4, 0, 4, 3, 3, 2, 1, 2, 3, 0, 2, 2, 3, 4, 2, 0, 2, 4, 0, 0, 4, 2, 0, 2, 3, 4, 1, 1, 4, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 4, 3, 3, 2, 4, 4, 1, 2, 1, 2, 2, 4, 4, 3, 0, 0, 1, 0, 3, 2, 4, 1, 3, 0, 1, 3, 1, 2, 3, 0, 4, 2, 2, 3, 2, 0, 0, 3, 0, 2, 4, 3, 1, 2, 4, 2, 3, 3, 1, 3, 3, 1, 2, 3, 0, 1, 1, 0, 2, 1, 0, 1, 0, 4, 0, 0, 1, 2, 0, 4, 3, 4, 1, 0, 2, 0, 1, 2, 2, 3, 1, 3, 2, 1, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 4, 2, 0, 3, 4, 4, 4, 1, 4, 2, 2, 2, 0, 0, 4, 3, 1, 1, 0, 1, 3, 0, 4, 2, 3, 4, 0, 1, 0, 0, 0, 1, 4, 3, 0, 2, 0, 2, 0, 3, 0, 4, 2, 0, 3, 2, 1, 1, 3, 2, 1, 1, 3, 1, 4, 2, 0, 2, 0, 1, 3, 1, 3, 1, 3, 2, 3, 4, 2, 1, 4, 0, 3, 1, 0, 1, 0, 3, 3, 4, 3, 2, 2, 3, 0, 0, 1, 1, 4, 2, 3, 2, 4, 3, 0, 4, 1, 0, 3, 2, 4, 3, 4, 1, 1, 3, 4, 2, 2, 4, 0, 2, 3, 2, 3, 0, 1, 4, 3, 4, 3, 4, 1, 1, 4, 2, 3, 4, 3, 4, 4, 3, 4, 1, 2, 0, 2, 1, 1, 1, 3, 0, 4, 3, 0, 3, 4, 2, 0, 0, 4, 1, 2, 4, 0, 1, 0, 1, 2, 4, 3, 3, 4, 3, 2, 0, 4, 3, 2, 0, 0, 0, 3, 4, 2, 4] pubkeycol971 = [3, 1, 0, 4, 2, 0, 2, 2, 1, 0, 4, 1, 1, 0, 4, 0, 1, 4, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 4, 0, 0, 3, 3, 2, 4, 0, 2, 2, 4, 4, 3, 2, 1, 4, 2, 2, 2, 0, 4, 2, 0, 1, 3, 4, 1, 0, 4, 1, 2, 3, 2, 3, 4, 1, 0, 3, 4, 2, 0, 1, 3, 1, 2, 3, 2, 2, 4, 4, 1, 3, 1, 0, 2, 3, 1, 1, 0, 4, 0, 0, 1, 4, 0, 0, 0, 4, 1, 1, 0, 4, 4, 2, 1, 2, 0, 3, 1, 2, 0, 0, 4, 2, 2, 3, 3, 3, 3, 3, 4, 0, 4, 3, 4, 4, 1, 1, 3, 4, 1, 3, 4, 4, 4, 3, 2, 2, 2, 1, 3, 2, 4, 4, 2, 1, 3, 4, 0, 2, 2, 2, 0, 0, 4, 3, 4, 4, 2, 3, 4, 1, 4, 1, 1, 2, 0, 1, 2, 3, 2, 1, 3, 3, 4, 4, 0, 3, 3, 4, 3, 4, 3, 4, 2, 2, 1, 3, 4, 2, 1, 0, 2, 3, 4, 4, 1, 4, 1, 2, 1, 1, 1, 1, 0, 3, 3, 3, 4, 4, 3, 2, 4, 4, 3, 3, 1, 0, 0, 1, 0, 3, 4, 1, 1, 2, 0, 4, 0, 0, 0, 2, 4, 3, 4, 1, 1, 2, 3, 3, 0, 4, 2, 1, 0, 3, 0, 3, 0, 1, 2, 0, 0, 2, 2, 1, 4, 2, 3, 3, 2, 2, 2, 2, 0, 2, 1, 1, 1, 3, 4, 1, 4, 4, 3, 3, 2, 4, 0, 0, 0, 1, 1, 0, 3, 3, 4, 0, 3, 3, 3, 0, 2, 4, 0, 1, 3, 4, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 2, 4, 1, 4, 1, 1, 4, 0, 4, 3, 2, 4, 4, 1, 4, 0, 1, 0, 3, 0, 0, 0, 1, 2, 1, 3, 3, 0, 1, 4, 1, 3, 0, 2, 2, 0, 3, 0, 4, 0, 1, 1, 0, 0, 3, 2, 0, 4, 0, 1, 0, 4, 0, 0, 1, 2, 2, 4, 4, 4, 4, 0, 2, 4, 2, 2, 1, 0, 1, 3, 0, 2, 4, 2, 3, 1, 1, 4, 0, 0, 2, 4, 2, 4, 3, 3, 4, 3, 0, 3, 1, 3, 2, 3, 1, 1, 3, 2, 3, 1, 4, 1, 3, 0, 3, 0, 3, 2, 3, 1, 1, 4, 2, 1, 0, 0, 2, 0, 4, 4, 1, 1, 2, 0, 2, 1, 3, 0, 1, 3, 1, 0, 4, 4, 4, 2, 1, 2, 4, 1, 4, 0, 3, 1, 1, 1, 3, 4, 1, 0, 4, 0, 2, 2, 4, 2, 1, 3, 3, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol972 = [2, 2, 3, 1, 1, 0, 4, 1, 1, 3, 4, 3, 4, 1, 4, 3, 2, 0, 3, 1, 1, 1, 0, 1, 4, 0, 3, 4, 3, 4, 3, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 3, 4, 2, 4, 1, 4, 0, 0, 2, 0, 0, 3, 2, 2, 1, 2, 0, 0, 3, 0, 1, 0, 2, 1, 2, 2, 4, 4, 1, 0, 1, 3, 4, 4, 4, 0, 4, 4, 2, 0, 1, 3, 4, 0, 0, 2, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 0, 4, 3, 0, 3, 1, 2, 2, 2, 3, 4, 3, 4, 4, 0, 4, 2, 2, 4, 1, 0, 3, 0, 4, 2, 0, 0, 3, 2, 3, 4, 2, 1, 1, 2, 4, 4, 0, 1, 1, 3, 3, 0, 0, 3, 4, 0, 3, 2, 0, 2, 4, 3, 2, 1, 1, 2, 4, 2, 0, 2, 4, 2, 4, 0, 0, 0, 3, 3, 4, 4, 4, 1, 0, 1, 4, 3, 4, 1, 4, 3, 3, 4, 0, 1, 4, 1, 1, 0, 3, 1, 3, 0, 4, 3, 2, 4, 2, 1, 2, 2, 3, 1, 1, 1, 0, 0, 0, 4, 2, 2, 3, 1, 3, 4, 2, 1, 0, 3, 1, 4, 1, 3, 3, 3, 4, 3, 3, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 4, 3, 4, 2, 0, 2, 4, 3, 2, 3, 2, 1, 1, 3, 0, 3, 1, 3, 0, 4, 2, 0, 1, 0, 3, 1, 1, 2, 1, 1, 0, 4, 3, 4, 2, 0, 3, 1, 4, 1, 1, 3, 0, 0, 1, 2, 4, 2, 2, 1, 0, 0, 4, 3, 3, 3, 4, 1, 1, 2, 2, 4, 3, 1, 2, 4, 0, 0, 4, 0, 0, 4, 3, 3, 2, 2, 1, 3, 4, 1, 2, 2, 1, 1, 1, 4, 2, 3, 1, 4, 4, 1, 4, 3, 1, 2, 4, 4, 1, 2, 2, 0, 3, 0, 4, 1, 0, 2, 2, 0, 4, 4, 2, 4, 3, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 3, 0, 1, 1, 3, 4, 4, 3, 3, 3, 4, 0, 4, 3, 1, 1, 0, 2, 0, 4, 3, 4, 4, 2, 2, 2, 4, 2, 1, 3, 2, 4, 1, 4, 2, 2, 4, 0, 3, 2, 4, 4, 2, 3, 4, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 4, 2, 3, 1, 1, 2, 0, 0, 2, 4, 4, 0, 0, 1, 0, 0, 3, 2, 2, 2, 0, 3, 3, 2, 0, 4, 1, 2, 4, 0, 1, 1, 4, 2, 1, 4, 1, 0, 4, 3, 3, 0, 2, 3, 4, 1, 4, 0, 3, 2, 4, 0, 1, 4, 2, 0, 3, 3, 3, 0, 3, 1, 2] pubkeycol973 = [1, 1, 3, 2, 3, 2, 1, 1, 0, 0, 1, 3, 2, 1, 0, 1, 1, 3, 2, 2, 3, 4, 0, 4, 3, 0, 4, 0, 1, 0, 3, 1, 4, 0, 1, 0, 1, 2, 3, 0, 4, 2, 4, 0, 0, 1, 3, 0, 2, 1, 3, 3, 3, 3, 3, 4, 1, 4, 1, 3, 0, 4, 2, 3, 4, 1, 3, 3, 2, 1, 4, 1, 3, 0, 4, 2, 1, 2, 4, 3, 3, 2, 3, 2, 0, 1, 0, 0, 4, 2, 3, 1, 4, 2, 0, 0, 1, 0, 2, 1, 3, 4, 1, 1, 0, 3, 3, 1, 4, 0, 0, 4, 1, 1, 2, 2, 3, 0, 2, 1, 1, 3, 3, 0, 3, 1, 4, 3, 4, 1, 4, 0, 0, 0, 1, 1, 3, 3, 0, 1, 4, 2, 3, 3, 3, 3, 3, 4, 2, 1, 0, 2, 2, 3, 4, 0, 4, 1, 2, 4, 0, 2, 3, 3, 0, 3, 0, 2, 4, 0, 3, 0, 4, 3, 2, 2, 0, 2, 0, 1, 0, 4, 4, 3, 4, 0, 1, 4, 3, 3, 0, 1, 4, 4, 4, 1, 2, 2, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 3, 0, 2, 2, 2, 1, 2, 2, 2, 3, 1, 2, 1, 1, 3, 3, 3, 1, 2, 1, 2, 2, 0, 3, 1, 3, 1, 0, 3, 4, 4, 4, 1, 1, 2, 3, 4, 4, 4, 4, 4, 3, 0, 0, 0, 4, 2, 2, 3, 1, 2, 3, 1, 1, 1, 0, 1, 0, 2, 3, 0, 2, 1, 3, 2, 4, 1, 4, 3, 4, 2, 2, 4, 2, 3, 4, 4, 2, 1, 4, 2, 4, 1, 3, 0, 4, 0, 3, 0, 1, 2, 1, 0, 4, 4, 3, 4, 4, 0, 2, 3, 0, 4, 3, 0, 0, 3, 3, 0, 3, 4, 3, 0, 4, 2, 4, 0, 4, 3, 0, 4, 4, 4, 3, 1, 1, 4, 1, 4, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 2, 0, 4, 4, 1, 0, 1, 1, 3, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 0, 4, 1, 0, 4, 3, 0, 1, 0, 3, 3, 1, 4, 4, 2, 4, 4, 2, 1, 1, 3, 1, 3, 1, 1, 2, 3, 0, 1, 2, 3, 3, 4, 2, 2, 3, 2, 4, 4, 0, 4, 2, 3, 3, 1, 4, 0, 3, 0, 0, 1, 4, 1, 4, 4, 2, 3, 1, 1, 1, 4, 0, 0, 4, 0, 1, 4, 2, 1, 3, 0, 3, 0, 4, 0, 0, 3, 3, 1, 4, 3, 1, 4, 3, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 4, 3, 0, 4, 4, 1, 4, 2, 0, 2, 1, 1, 2, 2, 4] pubkeycol974 = [1, 0, 1, 3, 0, 3, 0, 0, 1, 3, 0, 2, 0, 2, 2, 1, 0, 3, 2, 0, 3, 3, 2, 0, 3, 0, 1, 1, 4, 2, 1, 4, 0, 4, 1, 3, 3, 2, 4, 4, 2, 3, 1, 1, 3, 3, 4, 1, 4, 3, 2, 4, 4, 3, 1, 3, 1, 1, 1, 0, 1, 2, 2, 4, 0, 0, 0, 1, 1, 4, 3, 0, 1, 1, 1, 1, 0, 0, 2, 3, 3, 3, 0, 4, 1, 2, 1, 3, 3, 4, 2, 2, 0, 3, 4, 2, 4, 4, 0, 0, 0, 2, 2, 3, 3, 4, 1, 4, 2, 2, 0, 3, 3, 4, 3, 0, 3, 3, 2, 1, 4, 4, 1, 3, 0, 1, 3, 3, 1, 2, 2, 3, 0, 2, 3, 3, 4, 2, 3, 3, 3, 3, 0, 2, 0, 4, 0, 4, 0, 2, 0, 1, 1, 3, 3, 1, 1, 2, 0, 4, 0, 4, 4, 3, 2, 2, 2, 3, 2, 1, 1, 1, 1, 3, 1, 2, 2, 2, 4, 3, 0, 1, 4, 1, 0, 3, 1, 3, 4, 4, 2, 3, 0, 0, 2, 3, 3, 1, 3, 1, 1, 2, 2, 4, 0, 3, 2, 2, 1, 2, 3, 0, 1, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 2, 3, 2, 0, 1, 4, 1, 4, 0, 3, 2, 3, 4, 0, 3, 2, 3, 1, 0, 3, 3, 2, 0, 2, 0, 1, 2, 2, 3, 1, 0, 3, 3, 3, 0, 3, 4, 2, 2, 0, 2, 1, 3, 0, 4, 4, 2, 2, 0, 2, 4, 4, 1, 3, 4, 3, 1, 4, 2, 4, 1, 0, 3, 2, 1, 4, 1, 1, 1, 1, 3, 0, 0, 3, 4, 4, 3, 3, 2, 2, 2, 0, 0, 0, 3, 4, 0, 4, 1, 0, 2, 1, 0, 0, 2, 3, 3, 0, 3, 3, 4, 3, 4, 4, 4, 1, 1, 0, 2, 0, 3, 4, 4, 2, 4, 0, 4, 2, 3, 4, 1, 4, 1, 4, 4, 0, 3, 4, 2, 4, 0, 3, 4, 1, 4, 3, 3, 1, 1, 3, 1, 0, 2, 1, 2, 0, 0, 4, 0, 3, 1, 0, 1, 3, 0, 1, 4, 2, 1, 1, 1, 0, 0, 4, 3, 0, 4, 3, 4, 3, 4, 4, 2, 1, 0, 4, 4, 1, 0, 1, 1, 4, 3, 0, 0, 0, 1, 2, 1, 0, 2, 3, 0, 0, 3, 2, 2, 2, 0, 4, 1, 1, 0, 1, 1, 4, 3, 4, 3, 0, 3, 1, 0, 4, 2, 3, 4, 4, 3, 0, 3, 4, 4, 2, 2, 3, 3, 1, 3, 2, 0, 0, 4, 4, 0, 4, 1, 0, 0, 0, 0, 0, 2, 3, 1, 2, 1, 2, 0, 2, 3, 2, 3, 0, 1, 1, 0] pubkeycol975 = [4, 0, 0, 0, 2, 2, 3, 0, 2, 4, 4, 3, 0, 2, 1, 4, 4, 0, 1, 2, 1, 0, 1, 3, 1, 0, 4, 0, 0, 0, 0, 3, 2, 2, 0, 2, 0, 4, 0, 0, 4, 2, 2, 2, 1, 0, 4, 4, 2, 1, 3, 1, 2, 3, 1, 1, 2, 4, 2, 1, 1, 4, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 3, 2, 3, 3, 1, 4, 2, 4, 1, 2, 2, 2, 0, 0, 4, 1, 0, 0, 2, 2, 3, 3, 3, 2, 1, 0, 0, 1, 3, 3, 4, 2, 3, 0, 4, 1, 0, 1, 0, 0, 0, 1, 0, 4, 3, 3, 4, 1, 2, 3, 1, 1, 0, 3, 0, 1, 3, 0, 3, 1, 2, 1, 4, 2, 0, 2, 4, 1, 3, 4, 0, 4, 2, 1, 2, 2, 4, 3, 0, 1, 4, 1, 2, 2, 1, 4, 3, 4, 0, 0, 2, 3, 0, 0, 0, 0, 4, 4, 3, 1, 2, 2, 3, 3, 1, 1, 1, 0, 0, 0, 0, 3, 1, 2, 1, 0, 2, 1, 2, 2, 4, 0, 0, 4, 4, 1, 3, 1, 4, 4, 2, 3, 3, 0, 0, 4, 1, 1, 1, 2, 1, 3, 3, 3, 2, 3, 2, 1, 0, 4, 4, 4, 4, 4, 0, 0, 4, 3, 1, 1, 3, 2, 4, 1, 2, 0, 4, 4, 3, 2, 4, 2, 4, 1, 4, 4, 1, 4, 0, 2, 1, 3, 0, 2, 2, 4, 0, 0, 2, 2, 4, 2, 1, 1, 4, 1, 0, 1, 4, 1, 0, 3, 3, 2, 0, 0, 1, 4, 4, 0, 2, 2, 3, 2, 0, 3, 3, 3, 1, 1, 4, 4, 4, 0, 0, 3, 3, 4, 0, 3, 1, 2, 0, 1, 2, 3, 1, 3, 3, 0, 3, 3, 0, 2, 2, 3, 2, 3, 4, 1, 3, 3, 1, 4, 4, 3, 2, 3, 0, 0, 4, 1, 2, 2, 0, 0, 4, 0, 4, 1, 4, 3, 0, 3, 2, 2, 2, 2, 3, 0, 4, 3, 4, 2, 1, 3, 0, 4, 4, 2, 4, 2, 1, 0, 4, 0, 3, 1, 4, 1, 2, 0, 4, 0, 4, 2, 2, 2, 4, 3, 2, 2, 0, 1, 1, 2, 3, 0, 4, 0, 2, 0, 4, 2, 4, 0, 4, 2, 1, 4, 2, 2, 0, 0, 4, 2, 3, 0, 1, 3, 1, 4, 1, 4, 4, 1, 0, 1, 1, 3, 0, 2, 3, 0, 1, 2, 2, 0, 0, 4, 1, 2, 1, 0, 1, 1, 3, 4, 2, 1, 0, 2, 4, 1, 1, 1, 0, 4, 2, 3, 4, 3, 3, 1, 2, 0, 4, 4, 3, 3, 1, 3, 4, 1, 2, 2, 4, 4, 4, 3, 3, 2, 3, 1, 0, 0, 1, 4] pubkeycol976 = [1, 4, 1, 0, 1, 3, 1, 0, 1, 0, 3, 4, 1, 2, 4, 0, 1, 1, 3, 2, 2, 0, 3, 0, 1, 2, 3, 1, 3, 3, 0, 3, 3, 1, 3, 1, 4, 0, 2, 1, 2, 3, 3, 1, 0, 1, 1, 2, 0, 4, 3, 2, 0, 3, 1, 0, 2, 2, 1, 4, 0, 2, 2, 2, 4, 4, 2, 1, 0, 4, 1, 0, 0, 0, 2, 4, 4, 4, 3, 2, 3, 2, 1, 2, 2, 1, 0, 0, 4, 4, 3, 4, 1, 3, 0, 3, 4, 2, 4, 3, 3, 3, 1, 4, 2, 4, 4, 0, 1, 4, 0, 1, 3, 2, 0, 2, 0, 0, 0, 1, 1, 1, 4, 2, 0, 1, 4, 4, 2, 4, 0, 0, 2, 3, 4, 2, 4, 4, 4, 1, 3, 3, 0, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 2, 4, 4, 4, 2, 1, 3, 4, 1, 4, 1, 3, 3, 4, 3, 4, 3, 0, 1, 2, 1, 1, 1, 1, 4, 3, 1, 0, 2, 3, 0, 3, 0, 0, 1, 4, 0, 1, 3, 0, 2, 0, 1, 0, 3, 3, 1, 3, 3, 1, 3, 3, 3, 0, 2, 0, 4, 4, 3, 0, 0, 1, 4, 2, 2, 0, 0, 2, 3, 4, 3, 0, 2, 2, 1, 3, 3, 0, 1, 2, 3, 4, 0, 1, 4, 0, 2, 1, 0, 4, 0, 3, 1, 4, 3, 3, 3, 1, 0, 2, 2, 0, 2, 0, 3, 2, 3, 0, 0, 3, 4, 4, 0, 2, 3, 4, 0, 3, 0, 4, 1, 4, 3, 2, 0, 1, 0, 2, 4, 1, 1, 2, 2, 4, 0, 2, 4, 2, 4, 1, 0, 0, 4, 3, 3, 4, 0, 1, 1, 2, 2, 2, 1, 4, 2, 0, 3, 1, 4, 1, 2, 4, 1, 3, 1, 4, 2, 3, 2, 2, 1, 0, 1, 4, 0, 4, 0, 3, 0, 1, 2, 0, 0, 1, 2, 3, 4, 3, 1, 4, 1, 1, 0, 3, 2, 0, 2, 0, 3, 1, 2, 2, 3, 0, 2, 0, 2, 1, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 1, 0, 1, 4, 1, 2, 2, 2, 2, 1, 4, 1, 4, 4, 0, 2, 4, 3, 4, 1, 3, 3, 1, 3, 1, 1, 3, 2, 1, 0, 4, 2, 3, 4, 1, 3, 1, 0, 1, 1, 1, 1, 0, 3, 4, 4, 4, 2, 0, 1, 0, 4, 3, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 4, 0, 3, 1, 0, 4, 2, 1, 1, 1, 2, 0, 3, 0, 1, 3, 3, 0, 0, 4, 4, 4, 1, 2, 4, 0, 4, 3, 2, 0, 3, 1, 0] pubkeycol977 = [4, 0, 3, 2, 0, 1, 4, 4, 4, 3, 1, 2, 2, 2, 3, 4, 1, 2, 3, 3, 3, 4, 3, 2, 2, 3, 3, 2, 0, 1, 4, 2, 0, 2, 0, 3, 3, 3, 4, 3, 3, 2, 3, 3, 1, 1, 2, 0, 4, 2, 4, 1, 0, 1, 0, 1, 2, 1, 0, 4, 4, 1, 4, 0, 3, 1, 2, 1, 4, 0, 3, 0, 4, 3, 1, 4, 1, 1, 4, 4, 2, 0, 2, 2, 3, 3, 4, 1, 1, 0, 3, 2, 0, 4, 0, 1, 4, 0, 3, 4, 2, 0, 1, 1, 0, 4, 2, 3, 1, 2, 0, 0, 1, 1, 1, 3, 3, 4, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 4, 1, 2, 1, 3, 4, 3, 3, 2, 2, 0, 3, 2, 3, 1, 4, 3, 4, 0, 3, 4, 2, 2, 2, 1, 4, 0, 3, 1, 0, 1, 3, 0, 4, 2, 3, 0, 1, 2, 0, 2, 0, 4, 3, 4, 4, 3, 1, 0, 0, 4, 0, 4, 3, 2, 0, 0, 1, 1, 3, 1, 1, 3, 2, 0, 4, 4, 0, 3, 3, 2, 2, 0, 3, 1, 0, 2, 2, 2, 2, 1, 3, 0, 3, 3, 0, 2, 4, 1, 3, 3, 4, 0, 0, 0, 2, 4, 1, 1, 3, 1, 3, 3, 1, 2, 2, 1, 0, 4, 1, 4, 4, 4, 2, 1, 3, 2, 3, 2, 4, 4, 3, 1, 4, 1, 3, 1, 0, 4, 1, 4, 3, 4, 0, 0, 1, 4, 0, 2, 3, 4, 4, 0, 1, 1, 3, 1, 0, 1, 4, 2, 3, 1, 4, 4, 1, 2, 2, 3, 1, 3, 2, 2, 1, 2, 4, 4, 2, 0, 2, 4, 1, 3, 1, 4, 3, 4, 1, 1, 0, 0, 0, 0, 4, 0, 4, 2, 0, 3, 2, 1, 3, 4, 1, 1, 2, 1, 3, 4, 1, 1, 0, 0, 1, 2, 4, 1, 4, 1, 4, 1, 4, 2, 4, 0, 0, 1, 0, 0, 3, 3, 4, 4, 1, 3, 2, 2, 0, 4, 3, 3, 3, 3, 3, 2, 2, 4, 2, 1, 3, 4, 3, 3, 1, 1, 0, 1, 3, 3, 1, 3, 3, 1, 4, 4, 0, 0, 0, 3, 1, 4, 2, 4, 0, 1, 3, 2, 1, 3, 4, 0, 3, 3, 2, 3, 1, 1, 0, 0, 3, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 4, 1, 1, 2, 0, 2, 4, 1, 3, 0, 4, 1, 4, 2, 3, 2, 0, 0, 2, 3, 3, 3, 4, 3, 2, 3, 3, 3, 0, 2, 1, 2, 4, 2, 0, 1, 2, 3, 3, 1, 3, 2, 2, 0, 3, 2, 3, 0, 3, 0, 3, 1, 4, 3, 1, 0, 2, 4, 3] pubkeycol978 = [4, 1, 3, 1, 1, 4, 0, 0, 3, 3, 0, 4, 2, 4, 3, 2, 1, 4, 4, 2, 3, 3, 0, 3, 2, 4, 0, 0, 1, 1, 0, 2, 0, 0, 1, 3, 1, 2, 2, 0, 4, 1, 0, 0, 4, 0, 3, 3, 2, 2, 4, 4, 4, 3, 2, 2, 0, 2, 1, 2, 2, 2, 4, 1, 1, 3, 4, 0, 4, 0, 1, 4, 4, 3, 4, 1, 2, 0, 2, 2, 3, 0, 0, 1, 3, 3, 3, 0, 4, 3, 1, 4, 3, 0, 3, 2, 2, 4, 0, 3, 2, 0, 2, 1, 0, 3, 3, 3, 1, 3, 1, 4, 3, 3, 2, 2, 3, 1, 4, 0, 2, 0, 1, 2, 0, 2, 4, 1, 1, 3, 3, 2, 3, 0, 4, 4, 0, 3, 3, 1, 1, 0, 1, 4, 3, 2, 4, 2, 4, 1, 2, 2, 3, 1, 3, 1, 2, 4, 0, 0, 2, 2, 2, 4, 4, 2, 2, 1, 4, 3, 1, 1, 2, 0, 3, 4, 2, 0, 0, 2, 1, 0, 0, 2, 3, 0, 1, 1, 1, 2, 4, 1, 2, 2, 3, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 4, 2, 2, 3, 3, 1, 4, 2, 2, 4, 1, 2, 1, 2, 1, 4, 4, 4, 0, 2, 1, 2, 2, 2, 0, 4, 4, 3, 1, 0, 3, 2, 0, 3, 3, 2, 2, 3, 2, 2, 0, 0, 4, 0, 1, 0, 4, 2, 2, 4, 2, 0, 4, 4, 1, 1, 3, 2, 1, 2, 2, 1, 1, 4, 0, 0, 4, 2, 3, 3, 0, 4, 1, 3, 1, 1, 3, 0, 4, 3, 3, 1, 1, 2, 1, 2, 2, 0, 1, 3, 0, 4, 1, 0, 2, 1, 2, 0, 2, 3, 1, 4, 3, 1, 1, 4, 2, 0, 0, 1, 4, 2, 0, 4, 2, 1, 0, 4, 2, 3, 0, 1, 1, 1, 2, 3, 0, 4, 2, 3, 2, 1, 2, 3, 0, 1, 2, 4, 4, 3, 0, 0, 4, 1, 0, 2, 4, 4, 0, 1, 4, 1, 0, 3, 0, 2, 2, 0, 2, 0, 1, 4, 2, 3, 4, 2, 4, 1, 1, 4, 2, 1, 2, 2, 4, 1, 4, 0, 0, 3, 1, 3, 4, 2, 1, 0, 1, 4, 3, 3, 3, 3, 0, 1, 2, 3, 4, 4, 1, 1, 2, 4, 1, 3, 3, 2, 2, 4, 4, 4, 2, 0, 2, 1, 4, 3, 4, 2, 2, 2, 4, 4, 4, 2, 1, 4, 1, 2, 2, 0, 2, 3, 4, 1, 1, 1, 1, 1, 1, 3, 4, 1, 1, 0, 0, 1, 1, 2, 4, 4, 3, 0, 1, 1, 2, 2, 0, 1, 3, 1, 2, 2, 1, 4, 4, 0, 3, 0, 1, 0, 0, 3, 2, 4] pubkeycol979 = [3, 3, 1, 0, 4, 1, 4, 2, 3, 4, 0, 0, 3, 1, 1, 2, 4, 2, 2, 2, 4, 2, 4, 2, 3, 0, 4, 3, 4, 2, 2, 0, 2, 4, 0, 1, 1, 2, 1, 3, 1, 0, 4, 3, 3, 4, 0, 3, 4, 0, 3, 0, 3, 3, 4, 2, 0, 3, 2, 4, 4, 0, 2, 4, 0, 1, 2, 4, 2, 2, 1, 2, 0, 1, 3, 1, 1, 2, 2, 1, 4, 1, 2, 2, 3, 3, 2, 2, 4, 0, 1, 4, 0, 4, 2, 2, 2, 2, 4, 3, 2, 3, 0, 4, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 4, 4, 2, 4, 3, 2, 1, 0, 3, 2, 3, 1, 0, 0, 0, 1, 0, 1, 2, 4, 4, 3, 4, 4, 2, 0, 1, 3, 0, 4, 0, 4, 3, 0, 2, 3, 3, 4, 1, 1, 3, 2, 1, 0, 3, 1, 1, 4, 0, 2, 4, 4, 4, 1, 1, 0, 1, 0, 4, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 4, 1, 2, 4, 4, 1, 0, 2, 3, 2, 4, 1, 1, 2, 4, 1, 1, 3, 2, 1, 2, 0, 4, 3, 3, 4, 3, 3, 4, 1, 2, 1, 4, 1, 1, 2, 0, 2, 3, 4, 2, 4, 0, 3, 3, 0, 2, 0, 4, 1, 2, 4, 1, 1, 1, 3, 4, 4, 1, 3, 1, 4, 2, 3, 0, 2, 0, 3, 1, 3, 2, 2, 3, 3, 0, 3, 0, 4, 3, 0, 2, 4, 3, 0, 1, 1, 0, 3, 3, 3, 0, 3, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 3, 4, 0, 3, 2, 0, 0, 1, 0, 0, 3, 1, 2, 3, 1, 3, 2, 0, 2, 4, 2, 3, 0, 3, 2, 2, 4, 0, 1, 0, 3, 1, 1, 1, 0, 4, 2, 1, 1, 4, 3, 0, 1, 0, 1, 3, 4, 4, 4, 2, 1, 4, 2, 4, 3, 2, 3, 1, 2, 4, 0, 4, 0, 1, 0, 4, 1, 0, 2, 0, 1, 0, 4, 3, 0, 2, 3, 1, 4, 0, 0, 1, 1, 0, 3, 0, 1, 0, 4, 3, 4, 1, 0, 2, 0, 3, 3, 2, 2, 0, 4, 0, 4, 1, 0, 2, 2, 0, 2, 0, 1, 1, 4, 4, 2, 0, 3, 2, 3, 4, 4, 0, 4, 2, 2, 2, 4, 0, 1, 0, 0, 4, 4, 4, 1, 0, 3, 1, 1, 0, 3, 0, 3, 1, 0, 0, 4, 0, 3, 3, 2, 2, 2, 2, 1, 0, 2, 4, 1, 4, 0, 0, 2, 2, 1, 1, 1, 2, 3, 1, 4, 1, 4, 3, 3, 4, 3, 3, 0, 2, 1, 2, 1, 3, 3, 2, 1, 4, 1, 4, 3, 3, 2, 0] pubkeycol980 = [0, 0, 3, 2, 1, 3, 4, 0, 0, 4, 3, 0, 0, 4, 2, 0, 2, 3, 0, 3, 0, 2, 1, 1, 2, 0, 3, 4, 1, 2, 1, 2, 1, 3, 1, 2, 3, 2, 4, 4, 1, 2, 3, 4, 2, 2, 3, 0, 3, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 1, 4, 3, 1, 3, 4, 2, 0, 2, 3, 3, 0, 2, 3, 2, 3, 2, 4, 0, 4, 4, 0, 2, 4, 0, 2, 2, 4, 3, 4, 0, 3, 2, 4, 1, 3, 4, 2, 4, 0, 1, 3, 1, 1, 1, 4, 4, 4, 4, 3, 1, 0, 2, 4, 2, 0, 4, 3, 2, 4, 1, 2, 1, 2, 3, 3, 0, 1, 2, 4, 0, 0, 2, 0, 2, 3, 1, 0, 2, 2, 4, 1, 0, 4, 3, 2, 0, 1, 4, 3, 4, 1, 1, 3, 1, 4, 3, 1, 4, 1, 0, 1, 4, 0, 2, 1, 4, 0, 0, 1, 4, 3, 0, 0, 0, 1, 4, 2, 2, 0, 0, 4, 4, 3, 3, 0, 2, 4, 0, 4, 1, 4, 0, 0, 4, 3, 4, 4, 4, 0, 0, 4, 0, 3, 0, 0, 4, 3, 2, 4, 2, 2, 4, 2, 1, 1, 1, 4, 2, 0, 2, 1, 0, 0, 4, 1, 1, 1, 0, 3, 1, 0, 2, 3, 3, 3, 0, 0, 2, 2, 4, 1, 2, 2, 1, 2, 2, 3, 0, 3, 0, 4, 2, 4, 3, 4, 4, 2, 4, 2, 2, 1, 2, 1, 3, 4, 3, 0, 1, 3, 2, 4, 3, 0, 0, 4, 2, 0, 4, 1, 3, 3, 1, 2, 4, 2, 3, 2, 1, 2, 4, 3, 4, 1, 0, 3, 2, 1, 0, 2, 4, 4, 1, 1, 2, 3, 0, 1, 1, 1, 4, 1, 0, 3, 2, 4, 4, 4, 2, 0, 3, 3, 0, 2, 0, 2, 4, 3, 2, 2, 1, 0, 0, 2, 2, 3, 1, 4, 0, 1, 4, 1, 4, 3, 1, 1, 3, 4, 3, 0, 0, 2, 0, 1, 0, 1, 3, 2, 0, 3, 4, 2, 4, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 4, 1, 4, 3, 3, 4, 1, 2, 4, 2, 3, 3, 2, 1, 2, 0, 0, 0, 0, 2, 1, 3, 0, 2, 3, 1, 0, 2, 2, 1, 2, 0, 4, 4, 2, 0, 3, 2, 0, 1, 3, 4, 4, 1, 3, 4, 3, 0, 2, 2, 3, 1, 0, 0, 0, 3, 2, 2, 4, 1, 4, 3, 0, 3, 1, 0, 1, 1, 3, 4, 3, 1, 1, 1, 0, 1, 0, 4, 4, 4, 4, 4, 2, 4, 3, 0, 1, 4, 1, 3, 2, 4, 2, 1, 2, 4, 1, 2, 2, 1, 2, 3] pubkeycol981 = [3, 4, 1, 4, 4, 2, 2, 3, 4, 0, 3, 3, 0, 0, 3, 3, 0, 4, 3, 3, 2, 4, 2, 4, 1, 1, 4, 4, 1, 2, 3, 2, 1, 2, 3, 4, 3, 3, 2, 0, 4, 0, 4, 0, 1, 2, 0, 2, 3, 1, 4, 0, 2, 4, 3, 4, 3, 1, 1, 3, 1, 2, 0, 1, 2, 3, 2, 4, 4, 0, 1, 0, 0, 0, 0, 0, 2, 2, 3, 1, 0, 0, 4, 0, 3, 2, 2, 4, 0, 3, 3, 3, 1, 0, 1, 3, 3, 3, 2, 3, 4, 3, 2, 0, 3, 0, 3, 0, 3, 3, 4, 2, 3, 1, 2, 3, 3, 1, 0, 0, 0, 1, 1, 4, 3, 1, 2, 4, 1, 3, 3, 4, 0, 3, 4, 1, 2, 0, 4, 3, 4, 1, 2, 4, 4, 0, 0, 4, 0, 3, 3, 4, 4, 4, 0, 0, 0, 1, 0, 4, 4, 0, 4, 0, 1, 2, 3, 4, 0, 1, 0, 4, 3, 2, 1, 2, 4, 1, 1, 4, 4, 4, 3, 1, 1, 3, 0, 4, 0, 0, 3, 1, 3, 0, 4, 1, 1, 2, 0, 2, 4, 0, 1, 2, 1, 0, 1, 4, 3, 4, 1, 4, 3, 1, 1, 2, 0, 4, 1, 3, 2, 1, 2, 4, 4, 4, 2, 1, 3, 1, 3, 1, 0, 0, 3, 1, 1, 3, 3, 2, 4, 0, 4, 2, 3, 3, 0, 3, 1, 1, 1, 3, 3, 4, 2, 3, 4, 2, 4, 1, 0, 0, 4, 3, 0, 1, 0, 1, 4, 1, 0, 0, 3, 4, 1, 2, 1, 1, 3, 4, 0, 2, 4, 4, 3, 1, 4, 0, 4, 1, 0, 2, 3, 4, 2, 3, 0, 3, 0, 3, 2, 1, 4, 3, 4, 3, 0, 0, 1, 4, 0, 1, 0, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 0, 3, 4, 2, 4, 0, 1, 3, 0, 2, 1, 1, 3, 1, 1, 2, 1, 2, 3, 3, 2, 1, 3, 4, 3, 0, 0, 1, 4, 0, 1, 2, 2, 4, 4, 0, 3, 4, 0, 4, 1, 3, 1, 1, 1, 4, 0, 1, 1, 2, 1, 2, 1, 3, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 4, 3, 1, 1, 4, 1, 3, 2, 3, 2, 4, 3, 2, 3, 0, 0, 3, 3, 3, 1, 1, 4, 0, 4, 3, 4, 0, 2, 3, 2, 4, 0, 2, 2, 1, 4, 0, 1, 2, 0, 4, 4, 4, 4, 2, 3, 1, 0, 4, 4, 1, 4, 1, 0, 4, 2, 1, 4, 2, 0, 1, 4, 0, 0, 1, 4, 2, 3, 0, 1, 3, 1, 0, 1, 2, 1, 3, 2, 2, 1, 1, 4, 3, 1, 4, 4, 4, 1, 2, 4, 3] pubkeycol982 = [2, 3, 4, 3, 4, 2, 2, 2, 4, 1, 0, 4, 4, 0, 4, 4, 4, 4, 1, 2, 0, 4, 3, 3, 0, 2, 0, 3, 1, 3, 4, 1, 2, 2, 4, 3, 3, 2, 2, 1, 4, 4, 3, 1, 2, 4, 3, 4, 4, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 4, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 3, 3, 2, 2, 0, 4, 4, 4, 2, 3, 0, 1, 1, 2, 0, 0, 2, 4, 4, 1, 0, 2, 3, 0, 1, 2, 3, 3, 2, 4, 3, 0, 2, 0, 4, 2, 2, 4, 3, 3, 4, 0, 3, 3, 2, 3, 3, 0, 1, 4, 4, 4, 2, 1, 0, 3, 3, 1, 4, 1, 3, 4, 0, 2, 3, 0, 0, 1, 1, 0, 0, 3, 0, 2, 3, 1, 3, 1, 3, 0, 2, 0, 1, 4, 4, 4, 0, 0, 1, 1, 0, 2, 1, 3, 3, 3, 0, 2, 3, 3, 1, 2, 2, 4, 2, 3, 1, 1, 2, 4, 2, 0, 1, 1, 1, 4, 3, 2, 4, 0, 4, 0, 1, 2, 0, 4, 3, 2, 2, 2, 1, 0, 0, 4, 1, 2, 3, 2, 0, 1, 2, 2, 0, 3, 0, 2, 4, 0, 3, 2, 3, 3, 3, 2, 0, 2, 0, 2, 2, 4, 1, 2, 2, 0, 3, 1, 0, 3, 3, 4, 1, 3, 2, 4, 3, 0, 0, 4, 0, 3, 4, 2, 3, 4, 2, 0, 3, 1, 4, 0, 3, 0, 4, 2, 2, 2, 4, 1, 0, 0, 0, 2, 4, 3, 0, 3, 4, 4, 4, 1, 4, 3, 3, 4, 3, 2, 3, 3, 2, 0, 1, 2, 0, 4, 0, 0, 4, 4, 3, 0, 2, 0, 2, 0, 3, 1, 2, 2, 4, 0, 4, 1, 3, 0, 3, 2, 1, 1, 2, 1, 4, 2, 2, 0, 4, 0, 4, 1, 1, 0, 0, 2, 4, 0, 0, 2, 2, 1, 4, 0, 3, 1, 4, 4, 1, 2, 4, 4, 3, 3, 1, 4, 4, 2, 4, 3, 1, 1, 1, 2, 0, 1, 0, 1, 4, 2, 2, 3, 2, 2, 4, 1, 4, 3, 2, 2, 4, 3, 3, 4, 2, 2, 1, 3, 1, 0, 1, 4, 1, 4, 1, 1, 2, 1, 3, 0, 2, 2, 4, 3, 3, 2, 0, 3, 1, 4, 4, 1, 4, 2, 2, 4, 3, 4, 1, 3, 1, 2, 3, 4, 0, 3, 3, 4, 0, 4, 0, 4, 0, 0, 4, 2, 0, 4, 1, 1, 0, 4, 2, 0, 3, 4, 2, 4, 4, 4, 4, 4, 3, 0, 3, 1, 3, 1, 1, 1, 4, 1, 0, 0, 2, 3, 0, 3, 4, 1, 4, 0, 0, 4, 2, 0, 4, 4, 4, 1, 0, 2] pubkeycol983 = [0, 1, 0, 4, 3, 1, 0, 2, 3, 4, 3, 2, 1, 4, 3, 3, 3, 3, 3, 1, 3, 0, 4, 3, 2, 3, 1, 1, 1, 3, 2, 4, 2, 3, 4, 4, 0, 0, 4, 0, 2, 0, 3, 3, 0, 3, 1, 0, 4, 2, 0, 4, 0, 1, 0, 2, 1, 3, 2, 4, 0, 4, 4, 0, 0, 4, 4, 3, 4, 2, 4, 4, 2, 3, 0, 3, 4, 1, 3, 1, 2, 3, 4, 1, 4, 4, 0, 3, 1, 3, 3, 2, 0, 0, 1, 0, 3, 0, 1, 1, 4, 2, 1, 4, 4, 2, 0, 1, 1, 3, 0, 4, 2, 2, 3, 4, 2, 4, 4, 0, 2, 2, 4, 1, 0, 2, 2, 0, 1, 1, 4, 4, 1, 0, 4, 0, 4, 2, 4, 0, 1, 3, 4, 1, 0, 3, 3, 2, 0, 2, 4, 4, 4, 3, 0, 4, 1, 0, 0, 2, 3, 4, 4, 4, 0, 4, 1, 1, 2, 4, 2, 4, 1, 2, 1, 2, 3, 3, 2, 0, 1, 2, 4, 2, 4, 3, 0, 3, 4, 2, 1, 4, 4, 2, 2, 0, 0, 1, 2, 3, 1, 1, 2, 2, 3, 1, 2, 0, 3, 2, 0, 2, 3, 3, 3, 0, 1, 2, 0, 4, 2, 3, 4, 3, 3, 0, 2, 1, 1, 3, 0, 1, 2, 4, 0, 0, 2, 3, 2, 2, 0, 1, 3, 2, 1, 4, 4, 4, 3, 2, 1, 2, 2, 2, 1, 1, 3, 0, 4, 4, 0, 3, 4, 2, 0, 3, 1, 4, 2, 4, 1, 2, 0, 0, 1, 1, 1, 3, 1, 4, 0, 1, 2, 2, 1, 4, 0, 3, 4, 4, 2, 1, 3, 4, 2, 4, 3, 0, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 2, 3, 1, 0, 4, 3, 4, 4, 2, 1, 1, 2, 2, 1, 1, 2, 3, 2, 3, 3, 2, 4, 2, 0, 4, 2, 3, 1, 2, 2, 1, 1, 4, 0, 0, 2, 4, 4, 1, 2, 3, 1, 1, 1, 3, 0, 3, 4, 0, 4, 4, 2, 4, 2, 2, 1, 2, 0, 2, 4, 4, 4, 0, 1, 4, 1, 4, 3, 1, 4, 3, 4, 0, 4, 4, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 4, 1, 1, 1, 0, 3, 2, 2, 3, 2, 0, 2, 3, 0, 2, 1, 4, 1, 2, 4, 3, 3, 1, 4, 2, 3, 2, 3, 4, 2, 2, 2, 2, 2, 0, 1, 3, 1, 3, 1, 0, 2, 2, 3, 1, 2, 4, 0, 4, 3, 4, 2, 0, 3, 2, 2, 1, 2, 2, 2, 2, 4, 3, 2, 4, 2, 1, 4, 1, 1, 3, 0, 2, 1, 4, 2, 4, 0, 3, 4, 2, 1, 1, 3, 2] pubkeycol984 = [1, 2, 2, 3, 4, 2, 4, 1, 4, 3, 2, 3, 0, 3, 0, 4, 1, 1, 4, 0, 2, 3, 1, 4, 2, 2, 0, 1, 3, 1, 2, 0, 4, 1, 3, 4, 3, 2, 4, 4, 4, 2, 0, 2, 2, 0, 0, 4, 1, 2, 1, 4, 3, 4, 1, 0, 3, 0, 2, 4, 4, 4, 0, 1, 2, 3, 2, 0, 1, 1, 3, 3, 1, 0, 3, 1, 3, 2, 3, 2, 0, 2, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 4, 2, 2, 0, 4, 1, 0, 4, 4, 1, 0, 2, 2, 3, 1, 3, 1, 4, 1, 4, 0, 2, 1, 1, 4, 0, 2, 3, 0, 2, 1, 0, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 1, 0, 4, 3, 4, 1, 1, 1, 3, 1, 2, 4, 4, 3, 3, 2, 3, 2, 0, 1, 1, 2, 3, 3, 2, 0, 4, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 4, 0, 0, 0, 4, 2, 2, 4, 4, 3, 0, 4, 3, 4, 0, 2, 3, 3, 4, 3, 1, 4, 2, 4, 0, 4, 4, 1, 3, 0, 3, 2, 1, 0, 2, 4, 4, 3, 3, 3, 1, 0, 0, 1, 1, 2, 1, 3, 4, 3, 1, 2, 3, 2, 3, 2, 1, 2, 3, 3, 4, 3, 3, 2, 0, 4, 3, 3, 4, 0, 4, 1, 2, 2, 2, 4, 1, 0, 3, 4, 0, 2, 2, 2, 0, 1, 1, 4, 1, 2, 3, 3, 1, 4, 0, 4, 2, 1, 4, 1, 3, 4, 4, 4, 4, 4, 2, 0, 0, 2, 2, 4, 4, 1, 4, 4, 1, 0, 3, 0, 2, 4, 1, 4, 1, 2, 0, 0, 4, 2, 2, 0, 0, 0, 3, 3, 1, 3, 3, 3, 4, 0, 3, 2, 4, 2, 1, 4, 2, 0, 4, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 4, 4, 4, 2, 0, 0, 4, 1, 0, 4, 1, 4, 0, 2, 2, 1, 1, 4, 2, 0, 4, 4, 0, 4, 4, 3, 4, 3, 2, 3, 3, 4, 1, 1, 0, 2, 0, 0, 3, 3, 3, 4, 4, 1, 0, 1, 0, 0, 0, 3, 4, 3, 1, 0, 1, 0, 3, 0, 4, 2, 1, 3, 0, 2, 0, 0, 4, 4, 3, 1, 4, 3, 0, 1, 3, 1, 3, 2, 0, 2, 2, 0, 4, 2, 0, 3, 1, 1, 4, 1, 3, 4, 3, 3, 0, 2, 4, 3, 2, 1, 1, 2, 3, 0, 2, 2, 3, 2, 4, 3, 3, 1, 2, 3, 4, 4, 4, 3, 4, 1, 3, 1, 4, 3, 1, 3, 4, 4, 1, 3, 3, 4, 3, 3, 1, 1, 3] pubkeycol985 = [4, 3, 1, 3, 0, 4, 2, 2, 3, 1, 2, 1, 2, 1, 0, 4, 4, 4, 4, 2, 3, 1, 0, 1, 2, 0, 0, 2, 3, 4, 2, 2, 2, 0, 2, 0, 1, 0, 2, 3, 0, 0, 0, 0, 2, 4, 2, 0, 1, 0, 3, 4, 0, 1, 3, 2, 2, 4, 4, 3, 3, 4, 0, 1, 4, 1, 3, 2, 1, 2, 2, 4, 3, 1, 3, 1, 3, 3, 2, 1, 0, 1, 1, 1, 3, 4, 4, 0, 2, 0, 0, 0, 3, 1, 2, 2, 4, 0, 2, 2, 4, 4, 0, 2, 3, 3, 0, 4, 4, 2, 1, 2, 4, 2, 4, 3, 4, 0, 2, 1, 2, 2, 4, 3, 2, 1, 0, 4, 4, 3, 4, 0, 0, 1, 4, 2, 2, 4, 1, 2, 2, 1, 3, 4, 1, 0, 1, 1, 1, 4, 4, 2, 2, 0, 1, 4, 2, 1, 3, 1, 2, 4, 3, 4, 1, 4, 2, 2, 4, 0, 3, 1, 1, 1, 4, 0, 1, 2, 3, 1, 1, 4, 2, 4, 4, 4, 1, 0, 3, 3, 1, 3, 4, 0, 1, 4, 4, 2, 3, 0, 1, 3, 4, 0, 3, 3, 0, 3, 2, 1, 4, 2, 1, 0, 2, 2, 1, 3, 4, 0, 3, 2, 0, 1, 1, 3, 3, 1, 3, 3, 4, 3, 1, 4, 4, 2, 1, 3, 3, 2, 0, 1, 1, 0, 3, 3, 4, 3, 2, 1, 0, 4, 1, 1, 1, 2, 4, 1, 0, 4, 0, 2, 2, 0, 0, 3, 0, 2, 3, 2, 4, 4, 0, 4, 1, 2, 0, 2, 3, 4, 1, 0, 0, 2, 3, 2, 4, 2, 4, 1, 0, 3, 1, 0, 0, 1, 3, 3, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 4, 4, 4, 3, 1, 4, 2, 0, 3, 1, 4, 1, 2, 1, 0, 2, 3, 2, 1, 4, 1, 4, 2, 4, 0, 1, 1, 0, 4, 4, 2, 4, 4, 1, 2, 2, 0, 3, 4, 0, 2, 3, 3, 0, 0, 4, 2, 3, 1, 1, 2, 4, 1, 1, 2, 2, 2, 4, 2, 0, 0, 1, 3, 2, 2, 4, 2, 2, 3, 3, 0, 2, 0, 4, 1, 4, 4, 4, 4, 2, 1, 2, 3, 2, 4, 3, 2, 0, 2, 0, 1, 0, 2, 4, 3, 4, 3, 4, 1, 0, 2, 1, 3, 4, 0, 2, 4, 3, 4, 1, 2, 0, 4, 4, 4, 3, 1, 3, 3, 1, 3, 0, 2, 1, 4, 2, 1, 4, 4, 0, 0, 2, 3, 0, 2, 0, 0, 4, 1, 4, 0, 2, 4, 4, 4, 1, 2, 0, 3, 2, 2, 1, 0, 4, 0, 2, 4, 4, 1, 0, 0, 4, 1, 4, 1, 4, 0, 4, 2, 0, 1, 1] pubkeycol986 = [1, 4, 2, 2, 0, 4, 3, 3, 1, 1, 1, 0, 2, 1, 1, 0, 4, 0, 1, 4, 2, 3, 0, 4, 2, 2, 3, 3, 1, 2, 2, 4, 3, 2, 1, 1, 3, 4, 4, 2, 2, 3, 0, 0, 4, 1, 2, 0, 3, 2, 0, 2, 3, 0, 4, 1, 2, 1, 2, 1, 3, 1, 3, 4, 0, 1, 3, 4, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 1, 4, 0, 3, 4, 4, 0, 3, 2, 0, 3, 1, 1, 0, 0, 2, 3, 0, 2, 4, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 4, 4, 0, 4, 4, 3, 3, 4, 1, 2, 4, 3, 2, 1, 3, 1, 0, 1, 1, 2, 1, 3, 1, 2, 2, 4, 3, 1, 1, 4, 0, 0, 1, 0, 0, 4, 2, 1, 2, 0, 4, 3, 2, 4, 2, 4, 3, 0, 4, 1, 2, 1, 0, 0, 4, 4, 3, 2, 3, 3, 4, 0, 1, 0, 4, 2, 1, 0, 1, 2, 3, 0, 2, 4, 4, 2, 0, 2, 1, 4, 4, 2, 2, 4, 1, 3, 4, 0, 2, 3, 3, 0, 3, 4, 3, 1, 4, 3, 1, 4, 3, 2, 3, 1, 1, 2, 1, 4, 2, 4, 0, 2, 3, 4, 3, 4, 2, 3, 4, 4, 0, 2, 3, 1, 0, 1, 0, 3, 0, 1, 3, 1, 3, 4, 2, 1, 0, 2, 1, 4, 0, 1, 2, 4, 0, 3, 3, 4, 1, 1, 0, 0, 1, 1, 0, 4, 0, 1, 4, 4, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 3, 4, 2, 4, 2, 3, 0, 3, 1, 0, 0, 3, 1, 4, 1, 2, 3, 0, 2, 3, 0, 2, 4, 4, 2, 0, 1, 3, 3, 0, 1, 0, 3, 4, 0, 0, 4, 1, 4, 2, 0, 2, 1, 0, 4, 3, 0, 2, 0, 2, 0, 0, 2, 2, 3, 2, 0, 4, 1, 3, 1, 1, 2, 4, 1, 1, 4, 4, 4, 0, 0, 0, 3, 4, 0, 1, 4, 4, 1, 3, 2, 4, 0, 0, 1, 1, 3, 2, 0, 1, 1, 1, 2, 0, 2, 1, 3, 1, 1, 1, 2, 3, 4, 0, 2, 3, 4, 1, 3, 3, 2, 2, 1, 4, 0, 1, 1, 4, 0, 0, 2, 3, 4, 4, 2, 4, 2, 0, 3, 3, 0, 4, 4, 0, 3, 2, 0, 2, 1, 2, 1, 0, 3, 1, 4, 4, 3, 0, 3, 3, 4, 2, 4, 4, 3, 0, 1, 2, 4, 3, 0, 4, 1, 2, 4, 4, 3, 3, 0, 2, 0, 3, 3, 1, 2, 1, 4, 3, 1, 2, 3, 0, 1, 1, 1, 0, 1, 1, 4, 1, 4, 3, 0, 0, 4, 0, 3, 3, 4, 4, 3, 4] pubkeycol987 = [3, 1, 0, 2, 0, 1, 4, 3, 0, 1, 4, 2, 4, 0, 0, 2, 4, 3, 1, 2, 2, 3, 1, 2, 2, 1, 2, 1, 3, 2, 0, 4, 4, 4, 3, 2, 4, 0, 2, 4, 2, 1, 0, 2, 1, 2, 0, 0, 3, 3, 1, 0, 0, 2, 0, 3, 4, 3, 0, 3, 3, 1, 1, 4, 3, 4, 3, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 4, 1, 2, 0, 2, 1, 3, 0, 2, 0, 0, 0, 1, 3, 4, 2, 4, 4, 1, 1, 3, 2, 1, 4, 4, 3, 1, 0, 4, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 3, 0, 0, 1, 4, 1, 4, 4, 0, 4, 2, 4, 1, 0, 4, 4, 3, 2, 0, 1, 2, 2, 1, 1, 4, 1, 2, 3, 1, 4, 0, 2, 1, 1, 4, 2, 0, 3, 2, 3, 4, 0, 4, 3, 3, 3, 3, 1, 3, 2, 3, 3, 2, 1, 0, 4, 2, 0, 0, 4, 0, 1, 3, 3, 1, 0, 1, 3, 2, 2, 3, 1, 4, 3, 1, 4, 4, 0, 0, 3, 4, 1, 2, 0, 4, 1, 1, 0, 3, 4, 2, 1, 4, 4, 0, 4, 0, 3, 4, 4, 3, 0, 1, 2, 1, 2, 4, 0, 2, 4, 1, 2, 0, 0, 1, 2, 2, 2, 3, 2, 4, 1, 4, 4, 2, 0, 1, 1, 1, 4, 0, 3, 2, 0, 2, 0, 2, 1, 3, 1, 2, 1, 0, 0, 1, 0, 3, 4, 2, 3, 3, 4, 4, 4, 1, 0, 3, 1, 0, 0, 1, 2, 0, 0, 2, 3, 2, 3, 4, 0, 1, 0, 3, 2, 0, 2, 2, 4, 1, 3, 4, 3, 2, 1, 2, 3, 2, 1, 4, 4, 4, 0, 4, 0, 3, 4, 4, 3, 2, 0, 3, 4, 2, 2, 1, 3, 4, 4, 1, 1, 0, 0, 3, 3, 2, 4, 1, 4, 4, 3, 3, 2, 0, 4, 2, 3, 3, 1, 0, 0, 1, 1, 4, 3, 4, 3, 2, 1, 2, 4, 2, 1, 2, 2, 2, 0, 2, 4, 3, 0, 0, 4, 4, 1, 4, 4, 2, 0, 0, 1, 0, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 1, 1, 4, 1, 0, 4, 2, 0, 0, 4, 3, 2, 1, 3, 3, 4, 1, 4, 3, 2, 2, 0, 3, 1, 3, 2, 2, 2, 1, 4, 0, 4, 0, 0, 1, 4, 2, 3, 1, 2, 4, 2, 2, 4, 1, 4, 1, 0, 2, 1, 0, 2, 0, 3, 3, 3, 0, 0, 2, 4, 1, 4, 4, 4, 0, 3, 2, 0, 4, 3, 1, 2, 3, 0, 0, 1, 3, 3, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2] pubkeycol988 = [1, 0, 3, 4, 3, 1, 3, 1, 3, 4, 3, 1, 0, 0, 2, 4, 2, 0, 1, 4, 1, 2, 4, 4, 1, 2, 3, 2, 4, 1, 3, 1, 3, 4, 2, 1, 3, 0, 3, 1, 2, 0, 2, 3, 4, 0, 0, 1, 4, 1, 4, 1, 0, 2, 2, 1, 4, 0, 3, 3, 1, 4, 1, 0, 2, 3, 4, 1, 0, 3, 3, 1, 1, 0, 4, 4, 2, 2, 3, 4, 4, 4, 1, 2, 0, 3, 0, 4, 4, 3, 0, 4, 4, 2, 4, 0, 0, 4, 0, 3, 1, 0, 4, 2, 0, 0, 3, 1, 0, 0, 2, 0, 1, 0, 3, 4, 3, 4, 3, 1, 3, 1, 4, 3, 2, 0, 4, 4, 2, 2, 0, 4, 0, 2, 3, 4, 3, 2, 1, 4, 1, 4, 2, 4, 2, 2, 2, 0, 1, 1, 2, 2, 1, 4, 1, 1, 0, 1, 2, 2, 3, 0, 0, 3, 0, 3, 3, 0, 4, 0, 0, 3, 3, 3, 0, 4, 0, 4, 2, 4, 3, 3, 4, 1, 0, 3, 2, 4, 4, 1, 4, 0, 2, 0, 2, 0, 1, 0, 3, 4, 0, 1, 0, 3, 0, 2, 1, 0, 1, 3, 2, 4, 2, 0, 3, 1, 0, 0, 1, 3, 1, 4, 2, 2, 2, 0, 2, 3, 0, 2, 2, 3, 0, 3, 4, 0, 1, 2, 0, 2, 1, 2, 1, 3, 3, 3, 4, 1, 4, 2, 2, 1, 3, 4, 2, 3, 3, 4, 1, 4, 1, 4, 1, 1, 0, 4, 4, 1, 4, 1, 4, 1, 2, 0, 0, 3, 1, 1, 4, 0, 2, 0, 4, 1, 1, 1, 4, 0, 1, 4, 1, 3, 2, 3, 0, 1, 1, 3, 4, 0, 1, 3, 1, 4, 4, 4, 4, 3, 0, 0, 3, 4, 2, 0, 1, 4, 2, 4, 1, 1, 1, 3, 2, 2, 1, 3, 2, 4, 4, 3, 1, 1, 0, 4, 0, 1, 3, 0, 4, 0, 4, 3, 4, 4, 2, 0, 4, 0, 4, 1, 2, 4, 2, 3, 4, 1, 0, 4, 4, 2, 1, 2, 0, 1, 4, 1, 4, 0, 2, 1, 3, 0, 1, 1, 3, 2, 1, 4, 4, 4, 1, 0, 4, 3, 0, 1, 0, 2, 0, 2, 2, 3, 2, 1, 2, 3, 0, 4, 2, 4, 3, 3, 2, 1, 1, 3, 0, 4, 4, 0, 0, 3, 2, 4, 1, 4, 1, 1, 1, 0, 0, 1, 0, 3, 4, 2, 0, 4, 0, 2, 4, 3, 1, 2, 0, 1, 4, 2, 3, 4, 4, 2, 2, 3, 2, 1, 1, 1, 2, 2, 3, 0, 2, 0, 3, 3, 3, 1, 0, 2, 4, 0, 3, 2, 1, 4, 3, 2, 3, 1, 1, 1, 0, 0, 1, 0, 0, 4, 3, 4] pubkeycol989 = [0, 4, 1, 4, 4, 3, 0, 4, 2, 3, 3, 2, 0, 0, 4, 2, 0, 4, 0, 4, 3, 1, 1, 2, 4, 3, 0, 3, 1, 4, 2, 4, 3, 3, 2, 1, 2, 0, 0, 1, 3, 1, 3, 2, 2, 0, 4, 2, 2, 1, 0, 4, 0, 3, 3, 4, 1, 0, 2, 2, 3, 4, 2, 3, 0, 3, 2, 4, 3, 3, 4, 3, 4, 2, 0, 4, 4, 2, 1, 3, 4, 4, 1, 0, 4, 3, 2, 4, 0, 3, 4, 4, 4, 2, 4, 4, 2, 4, 3, 0, 0, 3, 4, 4, 3, 1, 1, 2, 4, 4, 0, 3, 3, 3, 1, 4, 2, 0, 4, 1, 4, 0, 0, 1, 0, 0, 4, 2, 4, 2, 2, 0, 3, 1, 2, 1, 1, 0, 4, 4, 2, 3, 4, 2, 1, 4, 1, 4, 0, 1, 2, 0, 1, 3, 3, 4, 2, 0, 3, 0, 0, 0, 0, 4, 2, 1, 2, 0, 3, 2, 4, 2, 0, 4, 1, 2, 1, 3, 4, 2, 1, 2, 0, 1, 3, 1, 0, 4, 1, 0, 2, 1, 4, 0, 1, 4, 2, 3, 0, 1, 3, 4, 0, 2, 2, 0, 4, 0, 1, 4, 4, 2, 3, 4, 4, 4, 3, 0, 4, 0, 1, 4, 2, 3, 1, 3, 3, 1, 3, 4, 4, 2, 1, 3, 1, 4, 2, 0, 4, 1, 3, 0, 3, 3, 0, 2, 0, 1, 4, 4, 2, 0, 3, 3, 1, 1, 4, 2, 2, 1, 1, 0, 2, 4, 1, 4, 1, 2, 3, 1, 3, 2, 4, 3, 0, 3, 2, 4, 2, 4, 3, 4, 2, 0, 3, 3, 4, 2, 1, 3, 3, 1, 3, 2, 3, 1, 1, 3, 2, 4, 0, 0, 3, 2, 3, 0, 3, 2, 0, 1, 2, 3, 4, 1, 3, 3, 1, 4, 4, 1, 0, 1, 1, 1, 1, 3, 4, 3, 1, 4, 0, 3, 1, 4, 3, 0, 1, 3, 4, 3, 2, 3, 3, 4, 3, 0, 1, 3, 4, 3, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 3, 1, 0, 4, 1, 3, 1, 4, 2, 3, 1, 1, 2, 1, 4, 2, 4, 2, 3, 0, 2, 1, 0, 4, 4, 0, 2, 0, 4, 3, 4, 3, 3, 1, 4, 3, 1, 1, 0, 3, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 4, 2, 2, 3, 2, 2, 0, 3, 4, 4, 0, 1, 1, 1, 1, 3, 3, 0, 2, 0, 4, 4, 1, 2, 3, 2, 0, 2, 2, 3, 1, 1, 0, 4, 1, 4, 1, 0, 3, 0, 4, 0, 4, 2, 1, 0, 3, 2, 4, 0, 1, 1, 4, 0, 4, 4, 0, 1, 0, 4, 2, 4, 4, 4, 2, 0, 4, 0] pubkeycol990 = [0, 1, 3, 3, 4, 3, 3, 3, 1, 2, 1, 1, 3, 4, 4, 0, 0, 4, 1, 1, 2, 3, 0, 4, 3, 2, 4, 3, 3, 2, 3, 3, 1, 1, 4, 3, 4, 2, 2, 1, 4, 3, 0, 0, 2, 3, 4, 1, 1, 2, 3, 0, 0, 0, 3, 2, 2, 0, 0, 4, 3, 1, 0, 3, 0, 0, 1, 2, 4, 2, 0, 2, 0, 0, 0, 4, 1, 3, 1, 0, 2, 1, 3, 2, 3, 1, 1, 4, 1, 0, 0, 1, 0, 3, 2, 4, 4, 1, 3, 1, 1, 2, 4, 3, 4, 4, 4, 3, 4, 0, 0, 0, 3, 4, 3, 2, 4, 0, 3, 1, 1, 1, 4, 3, 4, 4, 4, 4, 2, 3, 4, 1, 3, 1, 3, 3, 0, 2, 0, 4, 4, 1, 1, 1, 0, 0, 2, 2, 2, 1, 4, 3, 1, 2, 1, 0, 4, 0, 0, 3, 1, 0, 3, 3, 0, 4, 2, 3, 4, 0, 4, 4, 0, 1, 0, 2, 4, 1, 3, 2, 3, 0, 4, 3, 3, 4, 0, 1, 3, 2, 1, 1, 3, 3, 0, 2, 0, 1, 2, 0, 4, 1, 1, 1, 2, 4, 0, 4, 1, 0, 1, 2, 1, 3, 2, 2, 4, 1, 0, 3, 0, 0, 4, 1, 3, 2, 0, 4, 2, 1, 2, 4, 3, 0, 4, 4, 3, 3, 0, 2, 3, 0, 0, 1, 0, 3, 0, 4, 3, 0, 4, 2, 4, 1, 2, 2, 4, 0, 2, 3, 0, 4, 1, 1, 3, 4, 0, 4, 0, 2, 0, 3, 2, 2, 1, 0, 1, 0, 2, 4, 1, 0, 3, 1, 0, 3, 4, 1, 0, 4, 4, 2, 2, 4, 3, 3, 3, 0, 1, 4, 3, 0, 0, 3, 1, 3, 4, 1, 1, 2, 1, 1, 1, 1, 4, 3, 3, 1, 2, 2, 4, 4, 3, 3, 2, 0, 1, 4, 0, 0, 0, 3, 1, 2, 2, 1, 0, 1, 4, 2, 1, 0, 3, 4, 4, 4, 1, 3, 2, 4, 4, 4, 0, 4, 2, 1, 3, 3, 4, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 4, 2, 0, 4, 1, 4, 4, 2, 0, 2, 3, 0, 0, 3, 2, 1, 2, 0, 3, 4, 4, 1, 4, 1, 0, 2, 2, 2, 4, 2, 1, 3, 2, 2, 1, 3, 1, 4, 2, 0, 4, 3, 0, 0, 0, 0, 1, 1, 0, 2, 1, 3, 3, 3, 0, 3, 0, 1, 3, 3, 0, 1, 1, 2, 3, 2, 1, 4, 1, 0, 0, 1, 4, 1, 3, 3, 3, 3, 0, 4, 1, 3, 0, 4, 3, 2, 0, 4, 1, 1, 4, 1, 1, 2, 2, 1, 1, 3, 1, 2, 2, 0, 3, 3, 2, 1, 2, 4] pubkeycol991 = [2, 0, 2, 3, 2, 0, 1, 0, 2, 4, 2, 2, 3, 4, 2, 0, 4, 3, 1, 1, 0, 4, 2, 0, 3, 2, 0, 1, 1, 3, 1, 3, 2, 2, 2, 2, 3, 4, 1, 1, 0, 1, 1, 4, 3, 2, 4, 0, 4, 2, 2, 1, 0, 3, 4, 3, 2, 0, 3, 3, 2, 2, 1, 0, 1, 2, 4, 1, 4, 1, 3, 3, 1, 1, 0, 1, 3, 0, 1, 4, 0, 1, 1, 3, 1, 3, 2, 2, 4, 0, 0, 2, 1, 2, 0, 4, 4, 1, 1, 3, 4, 3, 2, 0, 3, 1, 4, 3, 2, 0, 1, 4, 4, 2, 2, 0, 1, 1, 2, 4, 4, 3, 2, 1, 1, 0, 4, 4, 3, 0, 2, 4, 0, 4, 0, 2, 2, 0, 2, 2, 0, 1, 2, 4, 0, 1, 2, 1, 1, 2, 1, 0, 4, 3, 0, 1, 2, 3, 1, 0, 0, 2, 2, 0, 2, 0, 0, 3, 3, 3, 0, 1, 0, 2, 1, 1, 1, 4, 2, 0, 0, 1, 1, 1, 0, 1, 3, 1, 2, 3, 2, 3, 4, 4, 2, 1, 1, 0, 2, 4, 4, 4, 2, 0, 3, 1, 3, 4, 4, 0, 3, 0, 1, 3, 3, 3, 2, 4, 1, 2, 2, 3, 3, 2, 3, 1, 2, 3, 4, 2, 3, 0, 2, 4, 4, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 1, 0, 3, 4, 0, 0, 1, 2, 1, 1, 1, 0, 4, 1, 4, 1, 2, 1, 2, 4, 0, 3, 2, 1, 3, 1, 1, 1, 0, 4, 1, 2, 1, 3, 4, 0, 1, 0, 0, 3, 1, 1, 4, 3, 4, 0, 3, 4, 4, 1, 0, 4, 3, 0, 3, 3, 4, 4, 1, 4, 1, 4, 2, 2, 3, 4, 4, 4, 2, 2, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 4, 2, 4, 0, 1, 3, 4, 2, 4, 3, 2, 0, 0, 3, 2, 2, 3, 0, 3, 2, 2, 4, 0, 1, 0, 3, 1, 1, 3, 2, 4, 4, 2, 0, 2, 2, 1, 0, 3, 4, 0, 2, 0, 3, 1, 3, 1, 4, 0, 0, 0, 4, 4, 1, 0, 2, 4, 4, 3, 4, 2, 3, 0, 2, 2, 0, 2, 2, 2, 3, 1, 0, 0, 0, 4, 3, 1, 0, 1, 3, 1, 0, 2, 2, 1, 2, 0, 4, 0, 0, 4, 0, 2, 3, 3, 3, 4, 3, 0, 4, 0, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 4, 0, 3, 3, 1, 4, 2, 1, 1, 3, 4, 1, 4, 0, 4, 4, 4, 0, 4, 4, 2, 3, 1, 4, 0, 1, 1, 1, 4, 0, 1, 0, 3, 3, 0, 3, 2, 0, 3, 4, 0, 1] pubkeycol992 = [4, 1, 1, 3, 1, 0, 0, 3, 4, 3, 1, 0, 4, 4, 3, 0, 4, 4, 0, 3, 3, 3, 0, 3, 4, 0, 4, 0, 0, 2, 2, 3, 1, 0, 3, 4, 4, 0, 2, 3, 3, 2, 3, 0, 2, 0, 0, 2, 2, 0, 0, 4, 2, 0, 2, 4, 4, 1, 2, 3, 4, 3, 2, 3, 0, 0, 4, 3, 4, 4, 3, 3, 1, 4, 1, 1, 0, 2, 4, 1, 3, 1, 3, 4, 4, 1, 2, 4, 3, 0, 0, 1, 2, 2, 0, 3, 1, 1, 3, 2, 4, 1, 3, 1, 2, 4, 1, 0, 3, 3, 4, 1, 0, 4, 3, 2, 2, 1, 3, 3, 0, 0, 4, 2, 3, 4, 2, 4, 3, 4, 4, 2, 0, 1, 4, 4, 2, 2, 3, 4, 4, 2, 4, 4, 2, 4, 1, 4, 0, 0, 4, 2, 1, 3, 1, 0, 2, 3, 3, 0, 0, 1, 3, 2, 3, 2, 1, 1, 4, 1, 4, 2, 4, 0, 3, 3, 0, 0, 1, 2, 4, 0, 1, 4, 0, 2, 4, 1, 0, 0, 3, 2, 4, 4, 1, 4, 4, 3, 3, 0, 1, 4, 3, 4, 4, 3, 4, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 4, 1, 3, 3, 3, 2, 4, 2, 1, 4, 4, 0, 4, 4, 1, 1, 3, 3, 4, 0, 1, 0, 4, 2, 2, 4, 1, 3, 2, 2, 1, 0, 0, 1, 4, 0, 4, 4, 4, 4, 0, 1, 3, 1, 1, 0, 2, 4, 4, 4, 0, 0, 2, 1, 1, 1, 3, 2, 3, 2, 1, 2, 2, 2, 4, 4, 1, 0, 2, 0, 3, 4, 4, 2, 1, 2, 4, 0, 1, 3, 0, 1, 2, 1, 4, 4, 1, 1, 2, 4, 2, 2, 1, 1, 2, 0, 4, 0, 2, 4, 2, 0, 1, 1, 2, 2, 2, 2, 3, 1, 1, 4, 4, 2, 2, 0, 4, 0, 3, 3, 3, 1, 3, 4, 1, 1, 3, 2, 1, 2, 1, 0, 4, 2, 4, 3, 4, 4, 4, 4, 2, 3, 3, 0, 0, 3, 0, 4, 2, 1, 0, 4, 3, 4, 3, 3, 3, 4, 2, 3, 1, 3, 1, 1, 2, 4, 1, 3, 2, 2, 3, 2, 3, 4, 3, 4, 3, 4, 2, 0, 4, 3, 1, 1, 4, 0, 1, 4, 4, 0, 3, 1, 3, 0, 4, 4, 3, 0, 1, 0, 0, 4, 2, 0, 1, 3, 0, 2, 0, 2, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 2, 3, 4, 2, 2, 0, 2, 4, 1, 0, 2, 0, 4, 0, 2, 3, 3, 0, 1, 2, 0, 4, 3, 2, 4, 1, 1, 2, 2, 0, 0, 2, 3, 2, 3, 4, 2, 2] pubkeycol993 = [2, 0, 4, 2, 2, 0, 2, 1, 2, 0, 1, 2, 3, 4, 0, 2, 2, 0, 1, 0, 2, 4, 2, 3, 0, 1, 0, 4, 2, 3, 1, 4, 1, 3, 3, 0, 0, 1, 4, 4, 2, 4, 1, 3, 2, 3, 3, 4, 4, 4, 2, 3, 3, 0, 0, 1, 4, 3, 4, 3, 4, 0, 3, 1, 0, 1, 2, 4, 1, 4, 2, 4, 2, 2, 0, 3, 2, 4, 2, 2, 3, 3, 1, 4, 0, 2, 0, 3, 4, 4, 1, 4, 0, 2, 0, 2, 3, 1, 2, 3, 0, 0, 1, 1, 2, 1, 0, 3, 3, 3, 3, 0, 1, 3, 4, 3, 4, 2, 1, 3, 2, 4, 4, 3, 3, 1, 1, 4, 1, 3, 3, 4, 0, 1, 4, 3, 2, 1, 4, 1, 1, 1, 3, 1, 1, 4, 2, 2, 1, 0, 0, 2, 1, 4, 0, 3, 4, 0, 2, 0, 3, 3, 2, 3, 0, 1, 1, 4, 2, 3, 3, 1, 3, 0, 1, 3, 4, 3, 0, 0, 1, 2, 3, 0, 3, 2, 0, 0, 0, 4, 0, 0, 1, 3, 3, 4, 3, 1, 0, 2, 0, 1, 0, 0, 3, 3, 1, 1, 4, 2, 2, 3, 4, 2, 0, 1, 0, 0, 2, 3, 2, 0, 1, 2, 4, 3, 1, 2, 1, 2, 2, 0, 1, 0, 1, 4, 2, 2, 3, 0, 3, 2, 0, 0, 3, 3, 2, 0, 1, 2, 2, 3, 4, 3, 2, 4, 1, 4, 3, 1, 2, 1, 0, 3, 3, 1, 1, 0, 2, 3, 3, 3, 2, 3, 3, 1, 3, 4, 4, 2, 0, 2, 0, 4, 0, 1, 3, 3, 3, 4, 4, 1, 1, 2, 2, 3, 4, 2, 3, 4, 3, 4, 4, 4, 1, 2, 4, 3, 2, 4, 1, 0, 2, 1, 3, 2, 0, 1, 3, 0, 2, 2, 4, 1, 1, 1, 1, 4, 1, 0, 2, 1, 3, 4, 1, 4, 1, 0, 4, 2, 3, 3, 0, 2, 0, 1, 3, 1, 2, 4, 2, 4, 0, 2, 3, 1, 3, 4, 4, 0, 2, 3, 2, 2, 3, 0, 4, 1, 3, 3, 0, 3, 4, 3, 3, 2, 4, 0, 4, 3, 2, 2, 1, 3, 3, 3, 1, 2, 4, 1, 4, 2, 3, 2, 4, 2, 0, 3, 1, 0, 1, 2, 2, 4, 4, 4, 1, 4, 3, 2, 1, 2, 1, 0, 3, 3, 1, 3, 4, 3, 1, 4, 1, 3, 0, 3, 0, 2, 2, 2, 4, 1, 4, 1, 1, 2, 3, 1, 1, 3, 0, 4, 1, 2, 4, 0, 2, 1, 0, 1, 4, 3, 1, 1, 0, 2, 4, 3, 0, 0, 3, 0, 3, 3, 1, 3, 0, 1, 3, 1, 2, 0, 1, 0, 0, 1, 0, 3, 2, 2] pubkeycol994 = [2, 2, 0, 3, 3, 2, 4, 1, 1, 3, 1, 4, 1, 0, 0, 4, 1, 0, 4, 4, 2, 4, 4, 3, 2, 4, 0, 4, 0, 3, 0, 2, 2, 3, 2, 3, 4, 0, 2, 4, 2, 0, 1, 2, 1, 1, 4, 4, 2, 4, 1, 2, 3, 4, 2, 1, 3, 4, 1, 0, 2, 2, 2, 4, 1, 3, 0, 4, 1, 4, 2, 1, 0, 2, 4, 4, 3, 4, 3, 4, 1, 4, 2, 3, 0, 2, 1, 4, 1, 3, 1, 1, 4, 3, 4, 0, 4, 4, 0, 1, 3, 1, 0, 3, 1, 0, 1, 3, 0, 0, 2, 1, 3, 4, 4, 0, 2, 4, 4, 2, 4, 0, 4, 2, 4, 1, 3, 1, 2, 1, 0, 4, 2, 2, 1, 0, 2, 4, 1, 3, 3, 0, 4, 2, 4, 2, 1, 2, 1, 4, 3, 3, 0, 0, 0, 3, 0, 1, 3, 0, 2, 3, 1, 3, 2, 4, 3, 2, 4, 1, 1, 4, 0, 0, 3, 1, 1, 3, 0, 3, 4, 3, 3, 0, 1, 2, 3, 1, 4, 4, 1, 4, 2, 1, 2, 1, 0, 4, 3, 2, 2, 2, 2, 4, 0, 2, 2, 4, 4, 3, 3, 2, 2, 1, 0, 1, 3, 1, 2, 2, 1, 2, 2, 1, 0, 4, 3, 3, 2, 4, 1, 0, 0, 2, 2, 3, 3, 0, 4, 1, 1, 4, 3, 1, 2, 3, 4, 0, 1, 3, 1, 2, 1, 2, 1, 0, 3, 2, 1, 2, 2, 1, 1, 4, 1, 4, 1, 0, 0, 3, 3, 2, 2, 4, 0, 3, 4, 3, 2, 1, 1, 2, 2, 4, 3, 3, 4, 2, 2, 0, 4, 0, 2, 1, 0, 3, 1, 0, 2, 0, 0, 4, 0, 1, 3, 1, 2, 1, 4, 1, 3, 0, 3, 0, 3, 4, 4, 0, 2, 4, 0, 3, 4, 1, 3, 0, 0, 3, 3, 3, 3, 3, 3, 4, 2, 0, 3, 0, 2, 2, 1, 2, 3, 3, 0, 3, 2, 1, 0, 3, 3, 2, 1, 4, 0, 1, 2, 3, 1, 0, 1, 3, 0, 3, 0, 1, 3, 4, 4, 4, 1, 0, 3, 1, 4, 1, 4, 1, 1, 4, 1, 3, 4, 0, 1, 2, 0, 4, 3, 3, 4, 4, 1, 4, 0, 4, 0, 1, 0, 1, 3, 3, 0, 2, 4, 3, 2, 1, 3, 0, 2, 1, 1, 3, 2, 3, 2, 0, 0, 2, 4, 2, 2, 1, 0, 0, 1, 3, 4, 4, 3, 1, 1, 0, 0, 4, 1, 4, 3, 3, 4, 2, 4, 3, 4, 0, 0, 3, 3, 4, 0, 3, 1, 4, 4, 4, 1, 1, 4, 0, 2, 3, 2, 2, 0, 4, 3, 3, 3, 0, 3, 0, 1, 2, 3, 0, 3, 4, 2, 3] pubkeycol995 = [2, 2, 4, 3, 1, 0, 1, 1, 0, 1, 4, 4, 0, 2, 4, 4, 3, 3, 3, 2, 0, 4, 3, 4, 2, 2, 3, 1, 0, 4, 1, 0, 3, 1, 4, 4, 3, 2, 3, 3, 3, 3, 1, 1, 1, 1, 2, 4, 4, 2, 2, 0, 0, 3, 2, 4, 4, 0, 4, 4, 2, 3, 2, 1, 2, 1, 3, 2, 1, 2, 0, 0, 0, 0, 1, 3, 3, 0, 0, 2, 0, 0, 0, 3, 1, 1, 3, 0, 3, 2, 3, 0, 2, 3, 2, 3, 0, 2, 0, 0, 4, 1, 4, 0, 0, 0, 2, 3, 0, 3, 3, 1, 3, 4, 4, 4, 2, 3, 4, 2, 2, 4, 4, 0, 0, 3, 4, 0, 2, 1, 1, 2, 1, 4, 0, 3, 1, 4, 0, 1, 1, 0, 3, 1, 1, 3, 2, 4, 4, 0, 3, 3, 1, 1, 1, 2, 0, 0, 2, 2, 3, 4, 2, 4, 4, 1, 2, 3, 1, 2, 0, 4, 1, 3, 3, 3, 3, 0, 3, 1, 3, 3, 2, 1, 0, 4, 2, 1, 3, 0, 4, 0, 0, 3, 3, 2, 4, 3, 4, 4, 3, 1, 3, 1, 2, 1, 2, 4, 3, 2, 0, 0, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 4, 4, 4, 3, 2, 2, 4, 2, 4, 1, 3, 0, 4, 3, 2, 3, 3, 1, 4, 3, 3, 4, 0, 4, 3, 1, 0, 0, 1, 4, 1, 4, 3, 3, 0, 4, 1, 3, 2, 4, 2, 1, 1, 4, 3, 2, 2, 3, 4, 3, 0, 0, 4, 1, 1, 2, 0, 4, 0, 1, 2, 0, 1, 2, 1, 2, 3, 0, 0, 2, 4, 1, 1, 3, 1, 1, 0, 3, 1, 2, 1, 3, 1, 1, 1, 2, 0, 1, 3, 2, 1, 3, 3, 0, 1, 1, 2, 1, 1, 0, 1, 1, 3, 0, 4, 1, 4, 3, 3, 2, 1, 2, 0, 2, 0, 0, 1, 4, 0, 1, 4, 4, 3, 1, 4, 2, 4, 4, 1, 1, 4, 3, 3, 2, 2, 1, 0, 0, 1, 4, 1, 2, 1, 3, 1, 1, 4, 3, 0, 4, 2, 0, 1, 2, 0, 0, 1, 4, 3, 2, 4, 4, 0, 1, 1, 0, 1, 0, 0, 3, 0, 0, 1, 3, 4, 0, 4, 3, 0, 3, 0, 0, 0, 3, 2, 4, 2, 1, 4, 0, 0, 2, 3, 1, 3, 3, 0, 2, 2, 3, 2, 3, 3, 4, 3, 1, 1, 1, 0, 1, 2, 0, 0, 3, 1, 3, 3, 1, 4, 2, 3, 3, 3, 3, 1, 0, 2, 2, 1, 1, 4, 3, 0, 1, 2, 3, 4, 0, 4, 1, 1, 2, 1, 3, 3, 0, 0, 4, 3, 1, 1, 2, 2, 1, 3, 0, 2, 2] pubkeycol996 = [0, 1, 3, 4, 1, 2, 2, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 1, 0, 3, 4, 3, 4, 4, 4, 3, 3, 2, 3, 4, 1, 3, 0, 0, 1, 1, 2, 1, 3, 2, 0, 2, 0, 4, 4, 4, 1, 1, 3, 1, 2, 2, 4, 4, 2, 0, 3, 1, 0, 3, 1, 4, 4, 0, 4, 2, 1, 0, 2, 3, 4, 4, 1, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 3, 4, 0, 2, 3, 3, 3, 2, 4, 1, 1, 4, 0, 0, 4, 4, 1, 2, 2, 3, 0, 0, 2, 1, 0, 0, 2, 1, 3, 3, 0, 2, 2, 4, 2, 0, 0, 3, 4, 4, 3, 1, 3, 2, 0, 4, 1, 2, 3, 3, 1, 3, 1, 0, 0, 0, 1, 2, 2, 3, 1, 0, 1, 1, 0, 3, 2, 0, 0, 0, 4, 2, 4, 3, 4, 4, 2, 1, 1, 3, 2, 2, 0, 2, 4, 3, 0, 0, 4, 0, 0, 0, 0, 2, 4, 3, 0, 1, 0, 1, 2, 0, 4, 1, 4, 2, 0, 0, 2, 3, 4, 1, 1, 2, 1, 2, 3, 2, 4, 4, 1, 1, 0, 0, 0, 3, 2, 4, 4, 3, 2, 1, 2, 4, 0, 0, 0, 4, 2, 0, 2, 4, 2, 2, 0, 3, 1, 1, 0, 0, 1, 4, 4, 2, 4, 2, 2, 4, 3, 0, 0, 4, 4, 2, 3, 4, 2, 1, 4, 0, 3, 0, 0, 0, 1, 3, 3, 1, 1, 1, 0, 0, 4, 4, 1, 3, 1, 1, 4, 4, 0, 0, 2, 0, 3, 0, 1, 0, 1, 3, 2, 4, 1, 4, 2, 2, 2, 2, 4, 1, 3, 3, 1, 2, 3, 1, 2, 3, 1, 3, 2, 2, 1, 2, 4, 2, 0, 0, 3, 4, 2, 4, 4, 4, 3, 2, 0, 3, 2, 1, 1, 1, 2, 2, 0, 4, 0, 4, 2, 3, 2, 4, 4, 0, 1, 4, 0, 1, 1, 2, 2, 1, 4, 1, 4, 2, 4, 3, 3, 4, 0, 4, 1, 1, 2, 2, 0, 2, 2, 3, 1, 4, 3, 0, 1, 4, 3, 1, 2, 4, 4, 2, 4, 2, 2, 1, 4, 2, 4, 3, 3, 0, 3, 0, 2, 1, 2, 2, 2, 0, 0, 2, 3, 4, 3, 0, 0, 2, 0, 1, 4, 3, 4, 0, 2, 4, 3, 0, 4, 2, 2, 4, 2, 3, 2, 1, 0, 3, 3, 0, 4, 3, 2, 0, 2, 0, 0, 3, 1, 3, 2, 4, 0, 0, 1, 4, 3, 0, 0, 0, 1, 4, 3, 2, 0, 2, 0, 1, 0, 0, 3, 2, 4, 4, 2, 2, 0, 1, 4, 3, 3, 3, 2, 1, 1, 4, 4, 0, 3, 1, 4, 0, 2, 3, 0, 2] pubkeycol997 = [3, 1, 2, 2, 4, 2, 1, 2, 2, 4, 2, 2, 0, 2, 2, 2, 4, 1, 0, 0, 4, 3, 0, 1, 4, 1, 1, 4, 4, 1, 2, 2, 3, 4, 1, 2, 4, 4, 0, 4, 2, 0, 2, 1, 2, 4, 0, 3, 3, 3, 2, 0, 1, 0, 4, 1, 0, 3, 4, 1, 1, 4, 2, 0, 3, 2, 2, 4, 4, 1, 0, 1, 3, 1, 2, 3, 0, 4, 3, 2, 4, 3, 4, 3, 1, 2, 3, 1, 3, 4, 4, 3, 3, 4, 1, 2, 2, 4, 0, 4, 4, 3, 4, 1, 3, 4, 4, 4, 3, 3, 2, 0, 0, 2, 3, 1, 2, 3, 4, 1, 3, 4, 1, 1, 2, 1, 1, 3, 4, 2, 0, 3, 1, 1, 2, 2, 2, 3, 3, 0, 3, 3, 4, 3, 0, 3, 1, 0, 3, 2, 3, 0, 0, 4, 3, 0, 3, 2, 1, 1, 1, 0, 1, 0, 3, 3, 3, 1, 4, 3, 1, 4, 0, 4, 4, 4, 4, 0, 2, 2, 3, 4, 3, 2, 1, 2, 3, 0, 3, 4, 2, 4, 3, 3, 0, 2, 4, 1, 1, 0, 1, 1, 4, 1, 2, 2, 2, 0, 2, 4, 2, 2, 0, 3, 3, 3, 1, 2, 4, 2, 4, 0, 1, 3, 3, 3, 3, 1, 0, 0, 0, 4, 4, 4, 2, 2, 3, 0, 2, 2, 3, 0, 3, 0, 0, 1, 1, 2, 1, 4, 2, 4, 4, 0, 1, 2, 3, 0, 0, 3, 3, 1, 1, 3, 1, 1, 2, 3, 0, 1, 2, 1, 3, 0, 4, 2, 0, 2, 2, 0, 3, 3, 0, 0, 4, 2, 4, 2, 3, 1, 0, 3, 1, 0, 4, 1, 3, 3, 4, 2, 3, 3, 3, 4, 2, 2, 3, 1, 3, 3, 0, 0, 4, 4, 1, 3, 1, 4, 1, 4, 1, 4, 4, 2, 4, 0, 2, 3, 4, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 3, 3, 1, 0, 0, 4, 0, 1, 4, 3, 4, 0, 4, 3, 2, 0, 1, 4, 1, 2, 4, 2, 4, 2, 1, 4, 4, 0, 0, 3, 1, 3, 3, 3, 0, 3, 4, 1, 1, 2, 0, 3, 3, 3, 2, 4, 3, 0, 3, 0, 3, 2, 4, 1, 1, 4, 1, 4, 1, 1, 4, 3, 1, 2, 4, 2, 3, 2, 4, 1, 3, 0, 0, 1, 4, 4, 1, 4, 0, 3, 4, 2, 4, 2, 2, 0, 3, 2, 0, 3, 0, 4, 4, 0, 0, 4, 2, 4, 0, 2, 3, 1, 1, 3, 2, 4, 4, 0, 0, 0, 3, 4, 3, 2, 1, 4, 1, 0, 0, 1, 1, 2, 1, 2, 3, 4, 1, 1, 0, 3, 4, 2, 4, 0, 2, 0, 0, 4, 3, 1, 0] pubkeycol998 = [1, 0, 0, 1, 0, 0, 2, 4, 0, 2, 2, 1, 4, 0, 3, 3, 1, 3, 0, 4, 0, 3, 2, 0, 1, 3, 1, 4, 2, 3, 3, 4, 2, 0, 0, 0, 0, 0, 2, 3, 3, 3, 2, 1, 2, 0, 2, 2, 2, 3, 2, 4, 1, 3, 3, 2, 4, 3, 1, 4, 1, 1, 4, 4, 1, 2, 2, 4, 2, 2, 4, 1, 0, 3, 4, 3, 2, 3, 1, 0, 1, 4, 0, 2, 1, 2, 3, 3, 4, 2, 1, 1, 1, 4, 2, 1, 1, 1, 4, 4, 1, 0, 4, 0, 3, 4, 2, 4, 1, 2, 3, 1, 3, 3, 1, 3, 2, 1, 2, 1, 0, 1, 2, 0, 2, 4, 4, 1, 2, 2, 4, 0, 1, 2, 3, 1, 0, 4, 0, 4, 0, 0, 3, 1, 0, 3, 3, 4, 4, 3, 1, 1, 2, 2, 3, 0, 3, 2, 3, 2, 1, 1, 3, 4, 4, 0, 1, 1, 0, 3, 4, 4, 2, 0, 3, 0, 0, 2, 1, 3, 3, 4, 1, 2, 4, 4, 2, 4, 1, 1, 0, 2, 2, 4, 3, 1, 3, 0, 0, 0, 1, 1, 0, 4, 0, 4, 3, 1, 3, 0, 0, 3, 0, 3, 2, 4, 3, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 3, 2, 2, 4, 0, 3, 4, 0, 2, 3, 1, 0, 4, 1, 3, 1, 2, 4, 0, 4, 4, 2, 2, 2, 3, 2, 0, 1, 0, 0, 2, 0, 4, 0, 2, 4, 4, 2, 2, 1, 2, 0, 2, 0, 4, 3, 3, 3, 0, 2, 4, 1, 3, 1, 2, 4, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 1, 4, 3, 1, 3, 1, 4, 0, 4, 2, 0, 1, 4, 2, 3, 1, 2, 3, 2, 3, 1, 1, 1, 1, 4, 4, 3, 4, 4, 0, 1, 3, 0, 4, 2, 1, 1, 0, 3, 1, 2, 2, 4, 2, 1, 4, 0, 0, 0, 1, 3, 0, 3, 3, 4, 2, 0, 2, 4, 1, 4, 4, 1, 0, 1, 2, 4, 3, 2, 0, 3, 0, 4, 1, 4, 3, 1, 0, 2, 0, 0, 4, 4, 0, 4, 1, 1, 2, 0, 0, 1, 4, 3, 2, 1, 1, 1, 2, 1, 2, 3, 2, 0, 0, 0, 4, 3, 0, 0, 4, 4, 3, 3, 0, 3, 3, 3, 4, 4, 1, 0, 0, 2, 4, 4, 4, 1, 1, 4, 2, 0, 4, 0, 3, 4, 2, 3, 1, 2, 0, 1, 1, 0, 1, 2, 3, 1, 2, 0, 0, 2, 4, 1, 3, 2, 0, 4, 2, 1, 4, 0, 2, 3, 0, 3, 4, 4, 3, 1, 3, 2, 0, 1, 3, 1, 4, 1, 1, 1, 3, 2, 1, 3, 3, 0, 1, 0] pubkeycol999 = [3, 3, 4, 1, 2, 3, 4, 4, 1, 4, 0, 3, 1, 3, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 2, 2, 0, 4, 3, 0, 0, 1, 3, 0, 1, 2, 2, 3, 4, 4, 1, 1, 4, 4, 0, 3, 2, 4, 3, 1, 0, 1, 3, 4, 2, 2, 4, 3, 3, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 4, 0, 2, 3, 1, 0, 2, 4, 3, 0, 0, 3, 3, 0, 3, 2, 4, 4, 4, 1, 4, 2, 4, 3, 1, 1, 1, 2, 4, 4, 1, 2, 0, 2, 0, 1, 0, 2, 2, 4, 4, 0, 4, 3, 2, 3, 1, 1, 3, 3, 2, 1, 2, 4, 4, 4, 4, 3, 2, 0, 4, 2, 3, 4, 1, 4, 3, 1, 3, 1, 0, 2, 3, 4, 1, 0, 1, 0, 2, 4, 4, 3, 2, 1, 1, 2, 3, 2, 4, 2, 0, 0, 2, 2, 4, 2, 3, 3, 3, 3, 0, 2, 0, 1, 2, 1, 0, 2, 2, 3, 0, 2, 2, 3, 4, 0, 2, 3, 4, 4, 0, 2, 2, 3, 1, 0, 4, 0, 0, 3, 0, 0, 1, 0, 0, 4, 0, 0, 1, 1, 4, 4, 2, 2, 4, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 4, 4, 0, 0, 4, 0, 2, 0, 1, 2, 3, 3, 2, 3, 3, 4, 0, 3, 1, 0, 3, 1, 2, 2, 2, 2, 3, 0, 3, 0, 1, 0, 3, 4, 2, 3, 0, 2, 1, 2, 3, 4, 3, 1, 2, 1, 2, 1, 4, 4, 0, 3, 2, 2, 4, 0, 4, 4, 2, 2, 4, 0, 1, 4, 1, 2, 1, 1, 3, 4, 1, 3, 4, 0, 2, 1, 1, 4, 2, 3, 0, 2, 2, 4, 3, 2, 4, 1, 2, 1, 2, 4, 2, 0, 4, 2, 4, 1, 0, 0, 0, 1, 2, 2, 3, 4, 3, 2, 4, 2, 3, 0, 2, 4, 2, 0, 1, 2, 3, 4, 2, 0, 1, 3, 3, 1, 1, 3, 2, 3, 0, 2, 4, 1, 4, 2, 4, 4, 2, 2, 3, 3, 3, 1, 3, 4, 4, 0, 3, 3, 1, 3, 1, 4, 2, 0, 4, 1, 2, 0, 2, 2, 4, 1, 3, 3, 3, 4, 4, 4, 4, 2, 3, 3, 4, 1, 0, 2, 2, 1, 3, 4, 4, 3, 0, 4, 1, 0, 0, 0, 0, 4, 1, 2, 1, 3, 4, 4, 4, 1, 1, 3, 2, 1, 3, 4, 2, 0, 1, 3, 1, 2, 1, 0, 4, 1, 1, 2, 4, 1, 1, 1, 4, 4, 4, 2, 1, 2, 3, 0, 3, 0, 2, 2, 2, 4, 0, 3, 1, 4, 2, 0, 2, 4, 2, 2, 0, 3, 4, 4, 2] pubkeycol1000 = [4, 0, 1, 1, 1, 3, 2, 4, 4, 2, 0, 2, 1, 2, 3, 4, 3, 3, 3, 2, 2, 0, 0, 1, 3, 1, 0, 2, 1, 1, 3, 0, 3, 0, 4, 3, 2, 3, 0, 3, 3, 2, 2, 2, 3, 2, 4, 1, 4, 4, 2, 1, 0, 3, 1, 0, 3, 3, 3, 1, 1, 2, 4, 3, 4, 1, 3, 2, 3, 2, 4, 1, 2, 1, 2, 2, 1, 4, 2, 4, 0, 3, 2, 0, 0, 3, 2, 2, 1, 0, 2, 3, 4, 1, 0, 2, 0, 1, 2, 3, 0, 1, 1, 1, 2, 3, 3, 0, 4, 4, 4, 0, 1, 2, 1, 0, 4, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 3, 1, 1, 0, 1, 2, 3, 3, 4, 4, 0, 4, 3, 1, 1, 3, 1, 1, 1, 0, 4, 0, 2, 4, 1, 0, 2, 0, 2, 1, 3, 3, 2, 2, 2, 2, 3, 4, 0, 4, 3, 4, 0, 3, 2, 0, 4, 2, 0, 2, 0, 2, 4, 1, 0, 3, 1, 0, 1, 4, 4, 2, 1, 4, 1, 4, 4, 2, 3, 2, 2, 3, 2, 0, 0, 4, 4, 4, 0, 2, 4, 2, 4, 2, 4, 0, 3, 3, 4, 1, 2, 3, 3, 2, 4, 0, 0, 0, 2, 2, 1, 2, 2, 2, 3, 0, 0, 3, 3, 0, 2, 3, 4, 1, 0, 0, 3, 3, 1, 1, 4, 3, 3, 3, 4, 4, 4, 0, 3, 4, 1, 4, 4, 2, 0, 0, 2, 3, 2, 4, 4, 0, 3, 4, 4, 0, 3, 1, 3, 2, 3, 4, 2, 3, 1, 1, 2, 3, 3, 3, 0, 0, 2, 3, 3, 3, 3, 0, 3, 0, 2, 2, 4, 1, 4, 4, 2, 3, 2, 4, 4, 1, 4, 1, 1, 2, 3, 4, 3, 1, 4, 0, 2, 3, 4, 4, 0, 3, 2, 3, 1, 0, 1, 0, 4, 2, 2, 3, 1, 0, 3, 3, 3, 0, 1, 0, 1, 0, 1, 3, 1, 1, 4, 2, 4, 0, 3, 3, 2, 4, 0, 1, 2, 2, 3, 2, 3, 1, 2, 3, 2, 1, 4, 2, 1, 3, 3, 2, 1, 1, 3, 2, 3, 3, 4, 1, 4, 1, 1, 1, 1, 4, 4, 4, 2, 0, 0, 3, 2, 0, 2, 0, 0, 0, 1, 2, 2, 4, 3, 2, 4, 2, 4, 1, 3, 1, 0, 2, 3, 4, 0, 2, 4, 4, 4, 2, 1, 4, 3, 2, 0, 4, 0, 3, 3, 2, 4, 1, 4, 3, 0, 2, 2, 3, 2, 1, 4, 1, 0, 2, 2, 0, 2, 0, 0, 4, 3, 1, 2, 3, 4, 0, 2, 3, 2, 2, 2, 2, 3, 2, 2, 3, 0, 3, 0, 3, 3, 1, 0, 0] pubkeycol1001 = [1, 2, 4, 0, 0, 4, 4, 0, 0, 4, 0, 2, 2, 1, 2, 1, 2, 3, 4, 2, 1, 0, 1, 4, 0, 3, 0, 1, 3, 2, 1, 0, 4, 2, 1, 2, 0, 4, 0, 1, 2, 1, 0, 4, 2, 3, 2, 0, 4, 2, 0, 0, 4, 3, 1, 4, 3, 2, 3, 2, 4, 4, 0, 2, 3, 1, 3, 2, 1, 1, 0, 1, 1, 1, 0, 1, 3, 0, 2, 3, 4, 0, 2, 4, 4, 0, 1, 0, 1, 2, 0, 2, 3, 2, 0, 3, 4, 4, 4, 3, 2, 4, 1, 4, 4, 4, 2, 4, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 3, 3, 3, 2, 3, 4, 4, 3, 2, 1, 1, 2, 0, 4, 1, 0, 2, 3, 1, 1, 3, 1, 2, 4, 3, 0, 1, 1, 2, 0, 3, 0, 2, 4, 2, 0, 3, 3, 0, 2, 0, 0, 0, 3, 2, 1, 4, 2, 0, 0, 2, 2, 1, 0, 4, 1, 1, 1, 1, 0, 4, 2, 4, 2, 4, 4, 4, 4, 4, 2, 0, 3, 4, 3, 0, 3, 2, 3, 1, 1, 2, 0, 0, 0, 3, 0, 2, 4, 4, 0, 1, 1, 0, 0, 0, 2, 3, 4, 1, 4, 0, 1, 1, 2, 2, 4, 3, 3, 4, 1, 1, 3, 2, 1, 1, 3, 0, 0, 4, 3, 2, 3, 3, 0, 2, 3, 4, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 2, 2, 1, 2, 4, 1, 2, 0, 3, 4, 1, 2, 3, 3, 1, 4, 0, 1, 1, 3, 4, 3, 1, 0, 0, 3, 2, 0, 1, 4, 2, 1, 1, 3, 2, 2, 0, 2, 1, 1, 4, 1, 1, 2, 3, 3, 2, 4, 4, 4, 0, 1, 0, 2, 0, 4, 4, 3, 0, 1, 3, 3, 0, 2, 4, 0, 0, 4, 3, 0, 4, 4, 4, 0, 0, 1, 1, 3, 2, 0, 2, 1, 4, 2, 3, 2, 2, 2, 4, 4, 1, 3, 4, 3, 4, 1, 4, 1, 3, 3, 3, 1, 2, 3, 4, 0, 1, 0, 2, 3, 4, 0, 4, 1, 0, 0, 2, 4, 2, 3, 3, 0, 3, 0, 0, 4, 1, 3, 3, 4, 1, 0, 4, 3, 4, 2, 0, 2, 3, 2, 3, 1, 4, 2, 2, 0, 0, 1, 1, 3, 4, 4, 2, 4, 1, 4, 0, 1, 1, 3, 4, 0, 0, 1, 1, 0, 4, 2, 0, 3, 1, 4, 4, 4, 0, 1, 4, 3, 0, 1, 0, 0, 4, 0, 3, 1, 2, 4, 1, 1, 1, 0, 3, 3, 0, 0, 0, 1, 1, 1, 4, 3, 2, 2, 4, 2, 1, 4, 1, 0, 1, 4, 3, 4, 0, 4, 1, 4, 0, 1, 2, 1, 2] pubkeycol1002 = [1, 3, 0, 4, 0, 1, 2, 4, 2, 1, 2, 2, 2, 1, 1, 2, 0, 3, 2, 0, 4, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 3, 2, 2, 3, 1, 0, 4, 0, 2, 1, 3, 2, 3, 2, 1, 0, 4, 3, 2, 0, 3, 4, 4, 0, 4, 3, 0, 2, 0, 4, 2, 0, 1, 2, 3, 4, 3, 0, 1, 2, 2, 3, 4, 2, 4, 4, 0, 3, 3, 4, 1, 0, 2, 0, 4, 3, 1, 4, 1, 1, 2, 3, 4, 2, 2, 0, 1, 1, 1, 3, 4, 3, 0, 4, 1, 4, 1, 3, 0, 0, 3, 3, 3, 0, 3, 1, 4, 4, 1, 4, 3, 0, 2, 4, 1, 4, 2, 2, 1, 1, 1, 1, 1, 2, 4, 1, 3, 0, 0, 0, 2, 4, 1, 3, 2, 2, 3, 2, 0, 3, 1, 2, 2, 3, 4, 2, 0, 4, 1, 3, 1, 2, 3, 2, 0, 0, 0, 1, 0, 4, 0, 3, 4, 1, 3, 0, 0, 0, 2, 0, 2, 2, 4, 4, 2, 3, 2, 1, 3, 4, 2, 3, 2, 0, 3, 0, 4, 2, 1, 1, 4, 4, 1, 1, 2, 2, 1, 2, 3, 3, 4, 4, 1, 2, 2, 2, 4, 3, 4, 2, 4, 1, 1, 1, 0, 4, 3, 2, 3, 2, 1, 4, 3, 1, 1, 2, 0, 0, 2, 0, 4, 4, 3, 3, 1, 4, 1, 3, 2, 2, 1, 3, 4, 0, 0, 4, 0, 2, 4, 2, 0, 3, 2, 4, 3, 4, 1, 3, 2, 3, 1, 3, 3, 4, 4, 0, 1, 4, 3, 3, 4, 1, 0, 0, 0, 4, 4, 3, 1, 1, 4, 0, 0, 2, 3, 3, 2, 0, 2, 3, 3, 0, 0, 2, 4, 0, 3, 4, 0, 3, 4, 0, 3, 2, 2, 4, 2, 0, 3, 3, 0, 3, 3, 3, 4, 1, 2, 3, 4, 2, 2, 1, 1, 2, 3, 4, 3, 0, 3, 0, 4, 4, 1, 0, 4, 0, 1, 2, 1, 2, 4, 4, 3, 0, 0, 2, 4, 2, 0, 3, 0, 1, 1, 4, 3, 0, 4, 1, 4, 1, 4, 4, 4, 4, 0, 3, 4, 1, 4, 1, 3, 0, 0, 3, 2, 2, 3, 4, 4, 4, 4, 3, 0, 1, 3, 4, 2, 3, 4, 3, 3, 2, 4, 0, 0, 3, 4, 1, 0, 2, 3, 1, 2, 4, 4, 3, 0, 1, 2, 3, 0, 3, 1, 2, 1, 3, 3, 3, 0, 4, 1, 2, 0, 1, 0, 0, 2, 1, 0, 3, 3, 2, 3, 2, 1, 1, 4, 3, 0, 2, 0, 0, 2, 1, 2, 4, 3, 2, 4, 0, 1, 1, 0, 4, 1, 0, 4, 2, 4, 3, 4, 4, 2, 2, 4, 3, 2, 4] pubkeycol1003 = [0, 1, 3, 3, 4, 2, 3, 0, 1, 4, 3, 3, 4, 0, 0, 0, 4, 2, 1, 0, 3, 1, 0, 0, 4, 0, 3, 1, 3, 1, 2, 1, 3, 2, 2, 1, 0, 3, 4, 3, 3, 4, 1, 2, 3, 3, 2, 1, 0, 1, 4, 2, 4, 1, 2, 1, 3, 3, 4, 2, 4, 4, 2, 0, 2, 0, 2, 4, 3, 2, 0, 1, 2, 4, 0, 4, 2, 2, 2, 4, 4, 4, 0, 3, 4, 3, 1, 3, 4, 3, 4, 0, 4, 4, 3, 3, 0, 3, 4, 1, 4, 1, 3, 4, 4, 3, 1, 4, 3, 0, 1, 2, 4, 2, 3, 1, 2, 4, 0, 1, 0, 2, 0, 1, 4, 0, 4, 1, 4, 4, 2, 1, 2, 2, 0, 4, 3, 2, 0, 2, 1, 3, 4, 3, 4, 1, 3, 2, 4, 0, 3, 1, 1, 1, 2, 0, 1, 3, 1, 3, 0, 4, 2, 4, 2, 1, 3, 0, 1, 2, 3, 2, 2, 2, 3, 0, 3, 4, 4, 4, 0, 2, 4, 4, 2, 2, 1, 3, 1, 0, 3, 1, 0, 2, 0, 3, 2, 1, 1, 2, 3, 4, 2, 2, 0, 2, 3, 1, 0, 4, 4, 2, 3, 0, 3, 2, 2, 4, 3, 4, 1, 2, 0, 0, 3, 4, 1, 1, 4, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 0, 1, 3, 3, 3, 3, 4, 2, 4, 3, 0, 0, 0, 2, 1, 1, 3, 3, 1, 0, 2, 4, 3, 4, 0, 4, 1, 1, 3, 4, 0, 2, 3, 4, 4, 4, 1, 4, 2, 3, 2, 1, 2, 3, 0, 2, 3, 2, 2, 3, 1, 2, 1, 3, 4, 4, 3, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 3, 1, 2, 4, 2, 4, 0, 3, 3, 1, 1, 1, 4, 2, 3, 3, 0, 0, 4, 2, 1, 0, 2, 4, 0, 4, 3, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 3, 2, 3, 2, 4, 3, 1, 1, 4, 0, 2, 0, 4, 3, 2, 1, 4, 2, 4, 4, 3, 1, 2, 2, 3, 0, 1, 0, 1, 2, 1, 1, 4, 0, 0, 0, 4, 1, 0, 1, 1, 1, 1, 0, 0, 2, 4, 1, 3, 1, 4, 3, 0, 2, 4, 2, 3, 2, 3, 1, 0, 0, 1, 0, 4, 3, 3, 2, 0, 4, 0, 1, 0, 1, 3, 1, 3, 1, 4, 3, 0, 3, 2, 2, 4, 4, 2, 2, 1, 0, 1, 4, 3, 0, 2, 2, 4, 2, 3, 2, 2, 3, 0, 0, 1, 4, 1, 4, 0, 3, 3, 2, 3, 0, 1, 1, 0, 0, 3, 4, 4, 1, 1, 2, 2, 2, 3, 4, 2, 2, 2, 0, 0] pubkeycol1004 = [4, 3, 3, 1, 4, 4, 2, 1, 3, 4, 3, 3, 1, 4, 3, 0, 0, 3, 1, 3, 4, 3, 4, 3, 2, 0, 1, 4, 4, 4, 2, 4, 1, 0, 3, 1, 0, 1, 1, 0, 0, 2, 2, 3, 0, 4, 0, 0, 3, 4, 1, 1, 2, 4, 3, 2, 3, 0, 0, 1, 1, 1, 4, 1, 3, 4, 1, 2, 2, 4, 2, 4, 3, 4, 0, 3, 4, 1, 3, 4, 1, 3, 0, 4, 3, 0, 4, 2, 1, 4, 3, 3, 4, 3, 0, 4, 4, 3, 4, 4, 1, 4, 2, 4, 1, 3, 3, 2, 0, 3, 1, 0, 0, 1, 1, 1, 2, 3, 2, 4, 3, 2, 1, 3, 1, 0, 3, 0, 1, 4, 4, 4, 3, 4, 1, 1, 4, 3, 2, 2, 1, 2, 0, 2, 2, 0, 1, 4, 2, 0, 3, 2, 3, 4, 1, 2, 3, 2, 1, 2, 4, 1, 2, 3, 1, 3, 3, 3, 3, 4, 0, 1, 2, 1, 0, 3, 4, 2, 3, 3, 0, 4, 0, 2, 0, 4, 2, 4, 3, 3, 2, 2, 0, 3, 2, 2, 1, 1, 1, 1, 1, 4, 0, 4, 3, 0, 0, 3, 1, 2, 0, 3, 4, 0, 2, 3, 1, 0, 2, 2, 1, 3, 3, 4, 2, 4, 4, 2, 4, 4, 0, 2, 4, 2, 4, 4, 1, 3, 1, 3, 4, 3, 1, 0, 1, 1, 0, 4, 3, 1, 3, 3, 3, 0, 3, 0, 0, 3, 1, 2, 2, 1, 3, 1, 2, 2, 1, 4, 2, 4, 2, 0, 3, 3, 3, 3, 4, 4, 2, 1, 0, 2, 1, 1, 3, 1, 4, 3, 0, 4, 1, 0, 1, 3, 4, 1, 3, 0, 4, 0, 3, 2, 0, 4, 4, 2, 4, 4, 1, 0, 1, 2, 3, 3, 0, 0, 3, 0, 0, 3, 1, 3, 3, 2, 1, 0, 4, 2, 1, 0, 1, 4, 1, 4, 4, 0, 4, 1, 4, 4, 3, 4, 1, 2, 3, 0, 2, 4, 3, 1, 1, 0, 0, 3, 2, 0, 3, 4, 0, 4, 0, 1, 3, 0, 2, 2, 4, 3, 3, 1, 3, 0, 4, 0, 3, 1, 4, 4, 4, 4, 2, 0, 3, 2, 0, 2, 4, 4, 2, 0, 2, 1, 2, 0, 3, 2, 4, 4, 4, 4, 1, 0, 0, 3, 4, 3, 4, 1, 4, 3, 2, 4, 3, 4, 2, 1, 0, 1, 2, 0, 2, 4, 3, 0, 0, 0, 0, 4, 4, 1, 4, 2, 0, 1, 2, 0, 3, 3, 4, 3, 4, 1, 1, 2, 1, 4, 2, 4, 4, 4, 2, 3, 4, 2, 1, 1, 1, 3, 4, 1, 3, 4, 0, 1, 3, 4, 1, 0, 0, 0, 3, 2, 2, 2, 3, 1, 4, 3, 3, 0] pubkeycol1005 = [1, 3, 0, 4, 0, 1, 0, 4, 0, 3, 3, 1, 1, 4, 1, 0, 2, 1, 2, 1, 3, 0, 0, 0, 4, 2, 1, 3, 1, 2, 0, 0, 0, 3, 4, 4, 0, 2, 2, 1, 2, 4, 3, 2, 0, 3, 1, 0, 3, 2, 3, 4, 1, 3, 0, 2, 4, 2, 0, 3, 1, 3, 1, 0, 4, 0, 2, 2, 1, 4, 2, 3, 2, 2, 4, 3, 1, 3, 4, 1, 3, 0, 3, 3, 0, 4, 2, 4, 2, 0, 4, 3, 0, 4, 4, 3, 1, 3, 3, 4, 4, 1, 2, 1, 3, 4, 4, 1, 2, 3, 0, 4, 0, 3, 1, 4, 4, 4, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 3, 2, 2, 3, 0, 4, 0, 4, 2, 2, 2, 0, 4, 0, 0, 1, 2, 2, 2, 4, 4, 3, 0, 2, 2, 0, 1, 2, 4, 4, 0, 0, 4, 0, 2, 3, 0, 4, 0, 4, 0, 3, 1, 0, 1, 3, 1, 2, 3, 3, 2, 3, 0, 4, 3, 1, 1, 4, 0, 3, 2, 0, 0, 0, 2, 0, 0, 1, 1, 4, 2, 4, 3, 4, 0, 3, 4, 2, 0, 4, 4, 2, 1, 2, 4, 4, 1, 0, 0, 0, 2, 3, 0, 4, 2, 2, 0, 3, 0, 0, 4, 2, 0, 3, 1, 1, 1, 2, 4, 2, 2, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 4, 4, 3, 2, 4, 4, 0, 1, 1, 3, 2, 3, 0, 0, 4, 4, 1, 4, 4, 3, 1, 3, 3, 0, 4, 3, 1, 3, 3, 2, 2, 3, 4, 3, 2, 4, 2, 1, 2, 1, 0, 1, 3, 4, 1, 3, 3, 1, 1, 2, 3, 3, 2, 2, 1, 3, 0, 4, 3, 3, 3, 3, 2, 4, 0, 2, 1, 1, 2, 2, 1, 4, 1, 1, 4, 1, 4, 1, 3, 0, 4, 0, 2, 1, 2, 3, 3, 2, 3, 3, 3, 4, 4, 4, 1, 2, 4, 3, 1, 4, 1, 1, 1, 0, 0, 0, 0, 4, 4, 4, 4, 4, 1, 0, 4, 4, 3, 0, 1, 3, 2, 1, 0, 2, 0, 2, 4, 1, 3, 3, 2, 4, 1, 0, 1, 3, 3, 4, 1, 1, 0, 3, 3, 0, 0, 1, 4, 1, 0, 1, 3, 1, 3, 0, 0, 3, 4, 4, 0, 3, 2, 3, 1, 3, 4, 4, 2, 4, 4, 2, 2, 4, 3, 1, 4, 3, 4, 1, 3, 4, 3, 1, 2, 1, 2, 3, 4, 0, 1, 2, 2, 0, 3, 2, 2, 1, 4, 4, 4, 3, 1, 4, 1, 4, 4, 0, 4, 3, 1, 2, 1, 3, 3, 4, 2, 0, 4, 4, 2, 0, 1, 2, 4, 0] pubkeycol1006 = [2, 1, 4, 1, 4, 2, 4, 4, 2, 4, 2, 4, 3, 2, 4, 4, 3, 0, 2, 2, 4, 2, 4, 2, 3, 0, 0, 0, 2, 0, 0, 4, 1, 1, 1, 2, 3, 0, 0, 1, 0, 0, 1, 2, 3, 2, 4, 1, 4, 1, 1, 2, 0, 2, 0, 1, 1, 3, 3, 0, 2, 1, 3, 3, 3, 3, 0, 2, 4, 2, 1, 2, 3, 1, 0, 0, 2, 3, 2, 2, 0, 4, 4, 4, 2, 4, 1, 0, 3, 3, 0, 2, 4, 4, 3, 1, 2, 2, 2, 4, 4, 2, 2, 2, 3, 0, 3, 4, 1, 0, 3, 1, 1, 1, 2, 0, 1, 0, 4, 2, 2, 1, 2, 3, 1, 2, 3, 2, 3, 1, 0, 4, 3, 3, 3, 1, 2, 0, 4, 2, 2, 3, 4, 2, 0, 2, 4, 3, 4, 2, 0, 0, 0, 3, 2, 2, 4, 0, 1, 0, 2, 1, 4, 3, 2, 2, 1, 2, 3, 4, 3, 2, 2, 4, 4, 4, 3, 3, 0, 1, 2, 4, 0, 1, 4, 3, 0, 1, 3, 1, 4, 3, 2, 4, 1, 3, 3, 1, 2, 0, 2, 2, 1, 0, 4, 2, 2, 2, 3, 2, 2, 0, 1, 4, 0, 0, 0, 3, 0, 4, 2, 4, 3, 4, 3, 4, 3, 4, 1, 4, 2, 2, 4, 3, 2, 2, 2, 4, 4, 2, 2, 4, 4, 0, 4, 1, 1, 2, 4, 1, 4, 0, 1, 3, 2, 1, 1, 0, 3, 2, 2, 4, 0, 0, 3, 2, 4, 0, 4, 2, 4, 2, 4, 1, 0, 2, 4, 0, 1, 4, 1, 0, 1, 0, 3, 2, 2, 0, 1, 4, 3, 3, 2, 3, 4, 4, 4, 0, 3, 2, 2, 3, 3, 1, 2, 0, 1, 1, 2, 0, 3, 4, 3, 0, 3, 0, 4, 4, 2, 2, 4, 4, 1, 4, 1, 4, 0, 0, 2, 3, 0, 1, 2, 1, 4, 0, 3, 2, 4, 2, 0, 2, 4, 1, 3, 1, 1, 0, 1, 0, 1, 3, 4, 4, 3, 2, 2, 4, 3, 1, 2, 4, 0, 0, 4, 3, 4, 0, 4, 3, 0, 3, 1, 3, 0, 0, 2, 1, 4, 2, 0, 4, 2, 3, 3, 0, 4, 3, 1, 0, 3, 2, 4, 1, 0, 2, 4, 1, 2, 0, 0, 3, 1, 0, 1, 2, 3, 0, 4, 2, 4, 3, 4, 4, 1, 3, 0, 3, 3, 4, 0, 0, 1, 3, 4, 4, 3, 4, 1, 4, 3, 0, 1, 4, 3, 4, 4, 0, 1, 3, 1, 3, 2, 4, 1, 1, 3, 2, 3, 0, 1, 2, 4, 1, 2, 3, 1, 2, 1, 0, 0, 3, 1, 4, 3, 3, 4, 0, 3, 3, 0, 1, 4, 0, 1, 0, 4, 4, 2, 0] pubkeycol1007 = [1, 0, 0, 4, 1, 2, 0, 1, 1, 3, 1, 0, 0, 4, 1, 3, 4, 4, 1, 2, 3, 1, 2, 0, 4, 3, 3, 3, 4, 1, 0, 1, 4, 2, 0, 1, 1, 2, 0, 4, 2, 4, 4, 1, 3, 1, 0, 0, 0, 3, 3, 0, 2, 0, 4, 3, 2, 0, 2, 4, 1, 3, 1, 2, 3, 0, 4, 4, 3, 3, 0, 3, 2, 3, 2, 0, 0, 2, 4, 3, 2, 1, 2, 3, 0, 0, 4, 4, 2, 0, 1, 0, 4, 3, 1, 0, 1, 0, 1, 1, 1, 3, 0, 0, 4, 2, 4, 3, 2, 2, 3, 2, 2, 3, 1, 1, 3, 4, 2, 1, 1, 0, 1, 3, 0, 2, 0, 0, 1, 0, 3, 2, 3, 4, 4, 4, 4, 1, 1, 4, 2, 1, 2, 3, 1, 2, 0, 0, 1, 0, 1, 3, 4, 1, 2, 4, 4, 2, 1, 0, 1, 1, 0, 3, 0, 2, 2, 3, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 4, 3, 2, 4, 3, 1, 0, 2, 0, 2, 4, 4, 4, 3, 4, 3, 3, 0, 1, 2, 2, 4, 0, 4, 2, 2, 3, 1, 4, 3, 0, 0, 3, 2, 1, 1, 4, 1, 3, 2, 3, 0, 0, 4, 3, 1, 1, 1, 3, 2, 2, 4, 0, 4, 4, 0, 4, 3, 1, 4, 0, 1, 0, 4, 0, 1, 0, 3, 4, 3, 4, 2, 4, 2, 1, 0, 4, 3, 1, 1, 3, 4, 1, 2, 4, 0, 4, 4, 1, 0, 4, 3, 1, 1, 1, 3, 3, 4, 4, 0, 2, 3, 4, 0, 3, 2, 0, 1, 0, 4, 0, 0, 3, 2, 3, 2, 4, 3, 1, 0, 4, 2, 0, 2, 0, 0, 4, 1, 0, 3, 4, 2, 2, 4, 3, 1, 4, 0, 2, 0, 0, 2, 1, 1, 3, 4, 3, 3, 2, 2, 4, 4, 1, 3, 1, 4, 4, 2, 1, 3, 4, 4, 4, 2, 0, 1, 4, 2, 0, 0, 4, 1, 0, 4, 0, 3, 1, 4, 3, 4, 0, 4, 2, 0, 0, 0, 1, 3, 3, 1, 3, 0, 4, 2, 4, 4, 3, 2, 1, 0, 3, 4, 0, 2, 3, 1, 2, 1, 4, 2, 1, 0, 2, 4, 1, 1, 4, 4, 2, 4, 1, 3, 1, 2, 3, 0, 4, 3, 4, 0, 4, 1, 1, 3, 3, 0, 3, 0, 1, 1, 1, 3, 3, 4, 3, 0, 0, 0, 3, 1, 3, 2, 1, 0, 4, 3, 0, 0, 4, 3, 4, 3, 1, 2, 3, 0, 4, 2, 4, 1, 0, 1, 1, 2, 0, 1, 3, 4, 3, 2, 2, 3, 1, 3, 3, 3, 3, 0, 1, 2, 1, 1, 1, 3, 1, 4, 1] pubkeycol1008 = [2, 3, 2, 4, 0, 4, 0, 4, 4, 2, 3, 4, 1, 2, 1, 2, 0, 3, 3, 4, 3, 4, 1, 1, 2, 2, 0, 4, 1, 0, 1, 3, 3, 4, 4, 2, 0, 0, 1, 4, 2, 4, 2, 3, 1, 3, 2, 4, 1, 4, 3, 4, 2, 4, 1, 4, 1, 3, 2, 3, 2, 0, 1, 1, 0, 3, 4, 4, 2, 4, 4, 3, 0, 2, 0, 2, 3, 0, 2, 2, 0, 1, 2, 4, 3, 4, 1, 4, 2, 1, 2, 2, 1, 2, 4, 4, 1, 0, 0, 4, 1, 1, 2, 2, 1, 2, 0, 3, 2, 4, 0, 3, 4, 2, 4, 3, 1, 1, 2, 1, 3, 1, 2, 1, 3, 0, 4, 1, 0, 1, 3, 2, 1, 3, 4, 2, 0, 2, 3, 3, 0, 4, 4, 2, 4, 1, 4, 1, 2, 4, 1, 2, 0, 3, 1, 0, 4, 4, 3, 4, 1, 2, 0, 0, 4, 3, 4, 2, 4, 4, 4, 1, 0, 0, 2, 2, 1, 0, 4, 3, 1, 0, 4, 2, 1, 1, 3, 3, 4, 2, 2, 3, 3, 1, 0, 2, 3, 1, 4, 4, 3, 1, 2, 4, 0, 3, 1, 0, 0, 2, 0, 4, 1, 1, 2, 1, 2, 0, 4, 1, 3, 0, 0, 3, 4, 3, 3, 2, 1, 0, 2, 3, 0, 0, 4, 0, 2, 2, 1, 3, 4, 3, 4, 2, 0, 4, 2, 4, 3, 1, 3, 4, 0, 0, 3, 4, 3, 4, 3, 0, 2, 4, 3, 2, 1, 2, 4, 2, 2, 0, 2, 0, 3, 4, 2, 1, 3, 2, 2, 0, 1, 1, 2, 1, 4, 1, 3, 2, 1, 0, 1, 0, 2, 1, 3, 3, 1, 2, 3, 3, 2, 3, 1, 2, 4, 0, 1, 4, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 0, 4, 4, 0, 0, 0, 1, 1, 1, 3, 3, 3, 2, 1, 4, 0, 4, 1, 1, 4, 4, 2, 1, 4, 0, 1, 3, 2, 2, 0, 4, 4, 2, 1, 4, 0, 0, 1, 4, 3, 0, 0, 3, 2, 2, 4, 2, 0, 1, 0, 0, 1, 2, 2, 3, 1, 2, 4, 4, 2, 0, 3, 4, 3, 4, 3, 3, 0, 3, 3, 3, 1, 0, 3, 4, 2, 0, 3, 2, 1, 1, 1, 4, 1, 2, 2, 4, 4, 0, 4, 1, 3, 1, 2, 4, 1, 1, 1, 1, 4, 0, 2, 2, 0, 2, 0, 3, 2, 4, 1, 2, 2, 4, 4, 2, 4, 4, 3, 1, 0, 0, 0, 3, 2, 0, 3, 0, 2, 0, 3, 0, 4, 1, 1, 1, 2, 2, 3, 3, 1, 0, 1, 1, 3, 0, 1, 3, 2, 3, 3, 4, 4, 4, 0, 4, 3, 3, 0, 1, 4, 4] pubkeycol1009 = [0, 2, 1, 2, 4, 4, 0, 0, 2, 0, 0, 2, 1, 3, 2, 2, 4, 1, 0, 0, 3, 3, 4, 0, 0, 2, 2, 0, 3, 2, 2, 1, 0, 3, 2, 0, 1, 3, 1, 3, 0, 3, 4, 0, 4, 2, 3, 4, 1, 1, 0, 3, 4, 2, 2, 0, 1, 2, 2, 0, 0, 2, 4, 3, 3, 3, 4, 3, 0, 0, 1, 2, 0, 1, 4, 1, 3, 4, 0, 0, 0, 3, 3, 2, 1, 1, 4, 2, 1, 3, 1, 2, 4, 3, 1, 2, 4, 4, 3, 4, 4, 2, 4, 2, 4, 2, 4, 0, 0, 0, 0, 1, 1, 0, 0, 1, 4, 4, 4, 3, 2, 0, 0, 1, 4, 0, 0, 1, 2, 0, 2, 1, 3, 1, 1, 0, 1, 3, 1, 0, 0, 1, 4, 1, 4, 3, 1, 2, 4, 2, 3, 0, 4, 4, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 4, 2, 1, 0, 1, 3, 2, 0, 2, 4, 4, 3, 4, 3, 0, 2, 1, 1, 2, 4, 2, 4, 2, 0, 3, 1, 4, 1, 1, 3, 4, 4, 1, 2, 3, 4, 3, 4, 3, 4, 0, 0, 3, 3, 4, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 3, 1, 1, 1, 1, 1, 2, 4, 1, 4, 4, 2, 1, 2, 4, 2, 4, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 4, 2, 2, 1, 1, 0, 2, 1, 2, 0, 3, 4, 1, 0, 1, 2, 4, 0, 0, 2, 3, 2, 4, 1, 3, 4, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 3, 1, 3, 2, 3, 3, 4, 2, 0, 2, 0, 0, 3, 3, 0, 3, 0, 4, 2, 4, 3, 0, 4, 2, 2, 0, 0, 3, 4, 3, 4, 4, 4, 2, 0, 4, 4, 4, 3, 1, 2, 3, 0, 1, 0, 0, 3, 3, 3, 4, 2, 2, 1, 1, 2, 4, 0, 2, 4, 1, 3, 0, 1, 0, 3, 4, 1, 4, 1, 1, 4, 2, 4, 3, 3, 4, 0, 0, 2, 2, 0, 4, 4, 2, 2, 4, 0, 1, 4, 2, 3, 2, 2, 0, 0, 2, 4, 1, 0, 1, 0, 3, 1, 0, 2, 1, 2, 3, 1, 0, 1, 4, 3, 2, 1, 1, 0, 2, 0, 0, 2, 4, 0, 4, 4, 0, 2, 2, 1, 3, 4, 0, 1, 0, 4, 0, 4, 1, 0, 2, 3, 0, 2, 3, 3, 3, 3, 1, 3, 0, 0, 2, 2, 1, 1, 2, 2, 4, 2, 1, 0, 2, 1, 4, 3, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 4, 4, 4, 2, 3, 1, 1, 0, 4, 1, 2, 0, 4, 1, 1, 0] pubkeycol1010 = [3, 3, 1, 1, 0, 1, 1, 1, 4, 4, 4, 2, 1, 1, 2, 4, 3, 3, 2, 4, 1, 0, 2, 4, 0, 2, 4, 0, 0, 2, 0, 2, 1, 1, 2, 2, 3, 2, 1, 4, 0, 0, 4, 3, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 4, 3, 0, 3, 1, 2, 4, 3, 4, 1, 0, 3, 1, 2, 2, 4, 4, 1, 1, 3, 1, 3, 1, 2, 4, 1, 3, 3, 0, 3, 3, 0, 1, 4, 2, 4, 2, 3, 4, 1, 2, 1, 1, 0, 3, 4, 0, 3, 0, 1, 0, 4, 1, 2, 1, 1, 3, 2, 2, 1, 3, 2, 2, 3, 2, 0, 0, 4, 4, 1, 2, 0, 3, 1, 3, 4, 4, 3, 1, 4, 0, 2, 0, 4, 0, 1, 4, 2, 2, 0, 2, 4, 2, 0, 3, 1, 2, 2, 0, 0, 3, 1, 3, 4, 3, 1, 3, 2, 4, 4, 3, 3, 1, 1, 1, 3, 0, 3, 3, 4, 0, 4, 0, 0, 0, 2, 0, 1, 1, 1, 2, 3, 4, 2, 2, 2, 3, 2, 0, 1, 1, 3, 3, 2, 0, 0, 1, 2, 0, 3, 3, 3, 4, 0, 0, 4, 0, 3, 0, 2, 1, 3, 1, 2, 0, 2, 0, 0, 3, 4, 0, 2, 1, 2, 0, 3, 1, 4, 3, 1, 2, 1, 2, 4, 0, 2, 4, 1, 3, 4, 1, 1, 2, 3, 2, 4, 2, 0, 1, 4, 3, 4, 2, 2, 1, 1, 2, 1, 1, 3, 3, 2, 1, 3, 1, 1, 4, 3, 4, 3, 1, 4, 0, 4, 3, 1, 4, 4, 2, 3, 3, 4, 2, 1, 4, 1, 2, 3, 0, 3, 0, 2, 1, 1, 3, 0, 0, 2, 4, 0, 0, 4, 1, 1, 1, 3, 2, 1, 1, 0, 4, 1, 2, 3, 2, 2, 3, 1, 4, 0, 0, 3, 1, 0, 2, 4, 1, 0, 3, 2, 1, 1, 3, 1, 2, 1, 1, 2, 1, 2, 4, 1, 4, 0, 4, 3, 4, 4, 4, 2, 1, 2, 4, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 0, 2, 1, 3, 1, 3, 4, 1, 2, 4, 0, 3, 4, 2, 4, 4, 0, 2, 4, 0, 4, 2, 0, 3, 2, 2, 4, 1, 4, 3, 2, 1, 0, 4, 4, 4, 2, 3, 1, 1, 4, 3, 3, 0, 0, 1, 0, 3, 0, 4, 4, 1, 1, 1, 1, 4, 4, 0, 2, 4, 2, 1, 3, 1, 2, 0, 0, 4, 4, 0, 3, 0, 4, 4, 2, 0, 2, 1, 4, 0, 3, 3, 3, 4, 4, 4, 0, 2, 2, 3, 1, 3, 1, 4, 3, 4, 0, 4, 3, 0, 1, 0, 4, 3, 4, 2, 4, 4, 2, 1] pubkeycol1011 = [2, 2, 1, 0, 0, 0, 2, 1, 3, 0, 0, 0, 2, 0, 0, 3, 0, 3, 3, 1, 3, 0, 0, 0, 4, 0, 1, 4, 3, 1, 4, 4, 3, 0, 3, 0, 2, 1, 3, 4, 1, 3, 1, 1, 3, 0, 3, 1, 0, 4, 4, 3, 4, 2, 3, 1, 0, 1, 2, 0, 0, 1, 2, 0, 3, 4, 0, 2, 3, 3, 0, 0, 4, 2, 4, 4, 4, 1, 2, 0, 2, 2, 3, 4, 1, 1, 0, 3, 4, 3, 0, 4, 3, 4, 1, 3, 4, 1, 3, 1, 0, 0, 0, 4, 4, 0, 0, 3, 3, 0, 0, 1, 0, 1, 3, 0, 1, 0, 3, 4, 0, 0, 4, 3, 2, 2, 4, 3, 0, 3, 1, 4, 3, 0, 3, 4, 1, 3, 4, 2, 1, 1, 1, 1, 0, 0, 1, 2, 3, 3, 4, 2, 4, 3, 3, 0, 1, 3, 1, 1, 4, 0, 0, 4, 3, 3, 2, 3, 0, 4, 3, 0, 4, 4, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 4, 1, 2, 1, 1, 2, 3, 0, 1, 3, 0, 3, 1, 4, 4, 3, 2, 0, 2, 1, 4, 2, 2, 0, 1, 0, 4, 3, 4, 1, 1, 0, 1, 2, 4, 0, 0, 2, 3, 4, 0, 3, 0, 2, 4, 4, 1, 4, 2, 1, 3, 0, 1, 1, 2, 4, 0, 4, 2, 0, 3, 4, 1, 4, 4, 3, 0, 4, 3, 4, 0, 0, 3, 1, 0, 3, 0, 4, 2, 3, 2, 2, 3, 3, 1, 1, 1, 0, 3, 3, 1, 4, 2, 3, 2, 2, 3, 4, 4, 3, 4, 1, 4, 1, 1, 3, 0, 4, 1, 2, 1, 4, 0, 3, 1, 4, 1, 1, 1, 3, 3, 1, 3, 4, 2, 1, 0, 2, 0, 3, 3, 2, 0, 0, 0, 0, 4, 0, 2, 3, 1, 0, 1, 2, 1, 1, 0, 1, 4, 0, 2, 4, 4, 4, 2, 4, 2, 4, 1, 1, 2, 3, 3, 1, 0, 2, 0, 0, 3, 4, 4, 4, 0, 2, 0, 4, 0, 4, 2, 3, 0, 4, 0, 1, 3, 4, 4, 1, 2, 3, 4, 2, 0, 3, 4, 4, 4, 1, 0, 0, 4, 4, 2, 1, 2, 0, 3, 3, 3, 1, 2, 1, 3, 3, 0, 0, 4, 4, 2, 0, 3, 2, 4, 0, 2, 0, 3, 0, 3, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 4, 4, 3, 0, 0, 3, 4, 1, 3, 1, 1, 2, 2, 1, 3, 3, 2, 1, 0, 2, 1, 2, 0, 1, 3, 0, 1, 3, 0, 0, 1, 0, 4, 0, 1, 2, 2, 2, 3, 0, 2, 0, 2, 2, 2, 0, 1, 0, 4, 1, 0, 3, 3, 2] pubkeycol1012 = [1, 1, 2, 3, 0, 0, 1, 1, 3, 4, 2, 3, 2, 4, 2, 1, 2, 3, 1, 1, 0, 3, 3, 2, 3, 4, 0, 4, 2, 3, 2, 1, 0, 0, 2, 0, 4, 2, 3, 0, 2, 2, 3, 4, 3, 4, 3, 0, 0, 2, 1, 4, 3, 1, 1, 2, 3, 4, 4, 2, 4, 2, 2, 4, 3, 1, 0, 2, 3, 2, 4, 2, 4, 2, 1, 2, 1, 1, 1, 3, 1, 2, 1, 3, 2, 1, 1, 1, 0, 4, 1, 4, 3, 0, 4, 2, 2, 1, 3, 0, 3, 0, 3, 4, 4, 0, 4, 3, 2, 4, 2, 0, 4, 1, 4, 2, 1, 2, 1, 4, 1, 1, 4, 0, 4, 0, 0, 3, 3, 3, 2, 0, 4, 3, 4, 0, 4, 4, 4, 2, 2, 3, 0, 0, 4, 4, 0, 2, 4, 0, 3, 2, 1, 0, 4, 0, 1, 3, 4, 1, 4, 0, 3, 0, 3, 0, 1, 0, 4, 3, 3, 4, 0, 3, 1, 2, 1, 3, 3, 0, 1, 3, 0, 0, 0, 2, 1, 3, 3, 3, 1, 3, 3, 3, 2, 1, 2, 1, 0, 3, 2, 2, 4, 3, 0, 3, 2, 0, 4, 1, 4, 1, 0, 4, 4, 4, 4, 0, 1, 1, 1, 2, 2, 4, 1, 1, 1, 4, 2, 4, 3, 1, 3, 0, 3, 3, 0, 4, 3, 1, 3, 0, 4, 2, 3, 3, 1, 3, 3, 0, 4, 3, 1, 0, 2, 3, 4, 0, 4, 4, 3, 1, 2, 1, 4, 3, 3, 3, 2, 0, 0, 0, 2, 0, 0, 3, 0, 1, 0, 3, 4, 1, 1, 2, 1, 3, 3, 1, 0, 0, 1, 3, 0, 0, 4, 1, 2, 3, 1, 2, 0, 1, 0, 3, 3, 2, 0, 3, 1, 0, 1, 4, 1, 0, 0, 4, 2, 3, 0, 3, 1, 3, 1, 2, 3, 2, 2, 2, 3, 2, 0, 1, 3, 1, 2, 4, 2, 0, 1, 3, 0, 2, 0, 2, 2, 4, 1, 0, 2, 1, 0, 0, 2, 4, 4, 2, 0, 4, 2, 0, 3, 2, 0, 2, 2, 4, 0, 0, 1, 4, 4, 2, 4, 4, 1, 4, 0, 1, 3, 4, 3, 3, 1, 1, 0, 4, 3, 3, 0, 1, 2, 3, 4, 2, 4, 2, 0, 3, 3, 4, 0, 3, 3, 3, 3, 0, 4, 1, 1, 3, 1, 2, 3, 2, 1, 4, 3, 0, 1, 2, 2, 4, 3, 0, 2, 0, 4, 3, 1, 4, 1, 4, 2, 0, 0, 1, 3, 1, 3, 3, 3, 1, 2, 2, 1, 1, 4, 4, 0, 3, 3, 3, 2, 2, 0, 1, 3, 1, 3, 2, 3, 3, 3, 1, 1, 1, 2, 3, 4, 3, 4, 0, 4, 4, 1, 4, 1, 1, 4, 0] pubkeycol1013 = [2, 3, 2, 2, 1, 3, 0, 0, 3, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 2, 2, 2, 0, 1, 4, 2, 4, 4, 2, 4, 1, 4, 0, 3, 3, 3, 1, 3, 1, 0, 2, 1, 1, 4, 3, 3, 4, 1, 1, 1, 4, 2, 2, 1, 2, 2, 2, 0, 2, 1, 3, 4, 3, 0, 2, 2, 0, 0, 4, 0, 1, 1, 3, 3, 3, 0, 3, 2, 3, 0, 0, 1, 4, 1, 0, 2, 1, 3, 1, 2, 4, 3, 2, 3, 3, 1, 4, 2, 1, 3, 3, 1, 2, 4, 3, 4, 1, 0, 1, 1, 0, 1, 2, 0, 4, 2, 3, 4, 4, 4, 4, 0, 3, 0, 1, 2, 3, 2, 1, 4, 0, 4, 1, 0, 4, 2, 1, 2, 2, 0, 2, 0, 1, 3, 4, 1, 4, 1, 1, 1, 1, 1, 4, 0, 3, 4, 2, 1, 2, 4, 3, 0, 4, 0, 1, 3, 4, 1, 1, 4, 0, 4, 3, 4, 2, 3, 0, 4, 0, 2, 4, 1, 1, 2, 2, 2, 2, 4, 1, 1, 1, 0, 0, 4, 3, 1, 2, 4, 4, 3, 1, 3, 0, 4, 3, 4, 1, 3, 0, 4, 3, 4, 4, 3, 0, 2, 0, 2, 3, 1, 0, 3, 3, 1, 3, 4, 1, 2, 3, 3, 3, 3, 3, 4, 4, 0, 2, 4, 4, 0, 1, 4, 0, 4, 0, 1, 0, 4, 2, 0, 4, 1, 1, 3, 2, 4, 2, 4, 0, 3, 4, 3, 2, 2, 2, 4, 2, 4, 2, 0, 0, 0, 4, 4, 3, 2, 3, 4, 0, 1, 4, 3, 1, 4, 1, 0, 1, 0, 2, 2, 1, 0, 4, 4, 1, 2, 1, 1, 1, 0, 3, 3, 4, 3, 0, 1, 4, 1, 4, 0, 0, 0, 4, 4, 3, 4, 2, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 0, 0, 1, 4, 3, 1, 4, 3, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 3, 3, 0, 4, 3, 3, 1, 2, 0, 4, 0, 2, 1, 3, 0, 4, 3, 4, 1, 1, 4, 1, 4, 3, 1, 3, 0, 0, 1, 4, 1, 0, 1, 4, 2, 0, 0, 2, 2, 0, 3, 1, 2, 4, 0, 4, 1, 3, 0, 3, 4, 0, 0, 0, 0, 3, 0, 1, 2, 4, 3, 4, 1, 2, 3, 3, 4, 3, 3, 3, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 4, 0, 1, 2, 1, 4, 2, 3, 2, 1, 1, 3, 1, 2, 3, 0, 4, 4, 4, 4, 0, 0, 4, 1, 1, 2, 0, 0, 2, 2, 0, 2, 3, 3, 2, 2, 4, 1, 1, 0, 2, 4, 0, 3, 2, 3, 3, 3, 3, 4] pubkeycol1014 = [3, 3, 4, 4, 4, 1, 3, 2, 1, 0, 0, 0, 3, 1, 2, 0, 2, 3, 3, 4, 0, 3, 0, 0, 0, 0, 3, 0, 4, 3, 0, 3, 3, 0, 1, 0, 3, 2, 3, 3, 4, 4, 0, 1, 4, 0, 0, 3, 2, 0, 2, 1, 2, 4, 0, 2, 1, 2, 3, 2, 3, 4, 0, 4, 2, 3, 4, 2, 4, 4, 0, 1, 3, 1, 0, 2, 0, 2, 3, 4, 2, 2, 2, 4, 3, 3, 1, 4, 1, 2, 1, 3, 1, 2, 3, 3, 3, 4, 4, 4, 1, 3, 4, 3, 0, 3, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 3, 1, 3, 3, 4, 2, 3, 1, 2, 0, 1, 2, 1, 1, 1, 4, 2, 3, 3, 1, 0, 3, 3, 4, 0, 1, 0, 2, 4, 4, 2, 1, 4, 1, 3, 4, 3, 3, 0, 3, 3, 3, 4, 2, 3, 3, 4, 1, 4, 3, 0, 3, 1, 0, 0, 4, 0, 3, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 3, 2, 1, 1, 4, 0, 3, 0, 3, 3, 2, 2, 2, 1, 2, 4, 0, 4, 2, 1, 2, 2, 2, 4, 2, 0, 3, 0, 4, 2, 3, 1, 4, 4, 1, 2, 1, 3, 4, 0, 3, 3, 1, 3, 4, 3, 4, 3, 0, 4, 3, 4, 0, 1, 4, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 0, 4, 2, 2, 0, 1, 1, 4, 0, 3, 4, 3, 3, 1, 2, 3, 1, 2, 1, 1, 3, 1, 4, 3, 4, 4, 0, 4, 4, 2, 4, 0, 4, 2, 1, 1, 0, 3, 2, 3, 3, 4, 4, 2, 3, 4, 4, 0, 1, 1, 0, 1, 4, 4, 2, 0, 1, 1, 1, 4, 3, 4, 3, 4, 2, 3, 4, 0, 3, 4, 3, 0, 2, 2, 3, 3, 2, 0, 2, 0, 4, 0, 3, 2, 1, 3, 4, 4, 4, 0, 4, 3, 4, 4, 2, 1, 4, 3, 2, 1, 1, 3, 1, 4, 0, 1, 0, 0, 4, 1, 3, 3, 2, 1, 3, 3, 4, 3, 0, 0, 4, 3, 1, 1, 2, 0, 1, 0, 4, 0, 2, 2, 0, 4, 0, 4, 1, 3, 2, 4, 3, 3, 2, 3, 4, 4, 4, 2, 2, 0, 2, 4, 0, 1, 4, 2, 2, 1, 2, 2, 4, 2, 1, 2, 0, 3, 4, 3, 3, 3, 3, 2, 2, 0, 4, 4, 1, 1, 4, 1, 4, 0, 1, 1, 0, 1, 2, 4, 4, 2, 4, 4, 2, 1, 0, 3, 0, 1, 4, 4, 4, 0, 4, 3, 0, 1, 2, 1, 1, 4, 3, 0, 3, 1, 4, 4, 4, 3, 1, 2, 2, 1, 0] pubkeycol1015 = [2, 3, 2, 3, 3, 3, 0, 4, 3, 4, 3, 3, 1, 3, 4, 0, 3, 0, 1, 4, 3, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 3, 1, 2, 2, 2, 3, 2, 2, 2, 4, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 3, 0, 4, 4, 4, 4, 3, 0, 2, 3, 2, 4, 0, 2, 4, 1, 3, 0, 1, 1, 0, 1, 4, 2, 1, 1, 4, 2, 2, 1, 3, 1, 4, 2, 3, 0, 1, 1, 3, 1, 1, 0, 2, 4, 2, 1, 2, 0, 4, 2, 4, 2, 0, 1, 4, 1, 2, 1, 1, 1, 3, 3, 2, 4, 2, 4, 3, 3, 0, 0, 0, 4, 4, 3, 2, 4, 0, 2, 4, 2, 4, 0, 2, 2, 3, 3, 2, 3, 4, 2, 4, 0, 1, 4, 2, 2, 0, 3, 2, 1, 4, 4, 0, 2, 3, 0, 3, 2, 0, 0, 3, 0, 3, 2, 2, 3, 3, 1, 1, 3, 0, 2, 1, 1, 0, 4, 4, 0, 2, 1, 1, 0, 0, 3, 1, 4, 1, 1, 4, 1, 4, 1, 0, 3, 2, 3, 0, 2, 4, 0, 2, 4, 3, 1, 4, 1, 4, 4, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 4, 0, 0, 1, 0, 3, 3, 2, 4, 1, 0, 1, 3, 0, 0, 4, 3, 3, 0, 1, 3, 3, 0, 0, 2, 4, 0, 2, 2, 1, 0, 1, 0, 4, 4, 2, 0, 1, 0, 0, 3, 4, 2, 3, 3, 4, 3, 3, 3, 0, 3, 1, 1, 1, 2, 4, 0, 2, 1, 3, 2, 1, 0, 0, 4, 1, 1, 4, 4, 1, 3, 4, 3, 0, 1, 0, 1, 1, 2, 1, 3, 0, 0, 2, 4, 4, 3, 1, 1, 0, 0, 1, 0, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 3, 3, 1, 1, 1, 0, 3, 0, 1, 4, 0, 4, 1, 3, 3, 4, 0, 3, 1, 4, 4, 0, 2, 2, 0, 4, 2, 1, 4, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 3, 2, 4, 0, 1, 0, 3, 3, 0, 1, 3, 3, 4, 0, 1, 2, 0, 3, 0, 4, 4, 2, 2, 4, 4, 2, 3, 3, 4, 2, 4, 1, 2, 2, 3, 4, 4, 4, 2, 1, 3, 3, 1, 4, 1, 4, 0, 2, 3, 0, 3, 3, 4, 1, 0, 2, 1, 1, 1, 2, 3, 1, 4, 3, 1, 1, 1, 1, 3, 4, 0, 2, 3, 0, 0, 3, 0, 3, 2, 0, 0, 1, 1, 4, 4, 3, 0, 0, 1, 3, 4, 0, 4, 3, 0, 0, 1, 4, 4, 3, 0, 1, 1, 0, 1, 3, 4, 2, 4, 4, 3, 4, 4, 3, 2, 1] pubkeycol1016 = [3, 0, 2, 0, 1, 1, 3, 1, 2, 1, 3, 2, 2, 0, 3, 4, 1, 2, 0, 2, 0, 2, 4, 0, 3, 0, 1, 0, 4, 4, 2, 2, 2, 2, 2, 0, 3, 2, 0, 1, 3, 4, 1, 2, 2, 4, 1, 4, 2, 0, 1, 0, 0, 3, 0, 2, 2, 1, 3, 4, 1, 1, 0, 0, 3, 2, 1, 4, 4, 3, 4, 0, 2, 2, 0, 2, 1, 1, 3, 0, 1, 1, 3, 1, 0, 1, 0, 1, 0, 3, 1, 1, 1, 0, 0, 3, 4, 2, 1, 2, 4, 1, 2, 3, 2, 0, 2, 2, 1, 4, 3, 3, 0, 0, 1, 4, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 4, 3, 2, 4, 0, 1, 2, 1, 1, 4, 2, 4, 0, 0, 2, 3, 2, 0, 2, 3, 4, 2, 4, 0, 0, 2, 1, 3, 2, 1, 0, 1, 4, 0, 2, 2, 4, 2, 0, 3, 3, 2, 3, 0, 0, 3, 3, 2, 3, 0, 3, 1, 1, 1, 0, 3, 0, 3, 2, 1, 3, 4, 0, 3, 3, 0, 1, 1, 1, 2, 1, 3, 0, 2, 0, 0, 4, 0, 3, 2, 1, 3, 1, 4, 4, 3, 0, 1, 0, 3, 3, 0, 4, 3, 4, 1, 4, 0, 0, 2, 3, 3, 2, 2, 1, 3, 0, 4, 2, 2, 4, 1, 4, 0, 2, 4, 2, 0, 0, 0, 2, 1, 2, 4, 4, 1, 0, 2, 4, 3, 1, 3, 4, 1, 0, 3, 3, 4, 3, 2, 2, 0, 0, 2, 4, 2, 2, 1, 3, 2, 1, 0, 4, 0, 3, 4, 2, 1, 4, 0, 4, 0, 0, 0, 4, 4, 4, 0, 3, 3, 2, 4, 4, 1, 3, 1, 0, 4, 4, 4, 4, 4, 4, 1, 3, 3, 2, 4, 3, 3, 4, 0, 2, 1, 2, 1, 4, 0, 4, 2, 3, 1, 2, 0, 3, 0, 0, 1, 3, 2, 0, 2, 4, 3, 3, 3, 3, 1, 0, 0, 0, 4, 3, 3, 2, 4, 0, 4, 1, 1, 3, 1, 3, 4, 2, 4, 3, 2, 2, 2, 1, 1, 0, 3, 1, 4, 3, 4, 3, 2, 0, 0, 1, 0, 3, 0, 2, 4, 1, 4, 0, 1, 1, 1, 1, 4, 2, 2, 0, 3, 4, 3, 1, 3, 3, 4, 1, 2, 2, 0, 0, 0, 3, 0, 2, 2, 2, 2, 4, 1, 2, 4, 3, 1, 1, 1, 4, 1, 1, 0, 1, 3, 2, 3, 2, 1, 0, 1, 4, 4, 3, 1, 3, 4, 2, 2, 0, 0, 3, 4, 2, 4, 2, 3, 3, 3, 0, 1, 3, 1, 1, 4, 0, 2, 1, 3, 0, 0, 1, 1, 4, 2, 1, 3, 4, 0, 3, 0, 0, 0, 0, 0, 3] pubkeycol1017 = [0, 2, 0, 4, 2, 4, 4, 2, 0, 3, 4, 2, 4, 3, 2, 1, 0, 4, 1, 2, 2, 0, 4, 0, 0, 3, 2, 2, 3, 2, 4, 1, 4, 4, 4, 4, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 0, 4, 3, 4, 4, 0, 3, 1, 4, 0, 4, 3, 2, 3, 4, 0, 3, 3, 3, 2, 4, 3, 1, 0, 3, 4, 4, 2, 2, 2, 1, 1, 0, 4, 4, 4, 4, 1, 3, 2, 2, 1, 4, 4, 2, 3, 2, 2, 0, 4, 0, 0, 3, 0, 2, 0, 1, 2, 3, 0, 0, 3, 3, 1, 1, 4, 3, 0, 2, 0, 4, 3, 2, 0, 2, 4, 2, 2, 3, 4, 1, 0, 2, 0, 2, 2, 4, 1, 4, 2, 3, 3, 3, 1, 4, 4, 0, 4, 4, 2, 0, 0, 0, 4, 2, 3, 4, 3, 1, 0, 1, 1, 3, 3, 3, 1, 2, 0, 0, 0, 0, 2, 0, 4, 3, 4, 3, 4, 0, 0, 3, 3, 1, 4, 2, 3, 0, 2, 4, 0, 4, 4, 2, 1, 3, 1, 1, 3, 2, 4, 2, 2, 1, 1, 4, 2, 0, 3, 2, 4, 1, 2, 3, 3, 2, 3, 3, 2, 2, 3, 1, 3, 4, 2, 2, 3, 2, 3, 3, 1, 0, 3, 2, 2, 0, 3, 4, 2, 3, 2, 2, 2, 0, 1, 0, 2, 1, 0, 4, 1, 2, 4, 0, 2, 2, 1, 2, 1, 2, 2, 4, 2, 0, 3, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 4, 1, 4, 4, 4, 1, 4, 3, 2, 3, 1, 0, 1, 4, 0, 2, 3, 1, 4, 4, 0, 3, 3, 4, 1, 4, 3, 2, 2, 1, 4, 2, 4, 2, 4, 2, 3, 1, 1, 2, 1, 3, 2, 4, 1, 0, 3, 2, 3, 4, 2, 2, 0, 3, 0, 0, 0, 0, 0, 3, 0, 4, 3, 4, 1, 2, 1, 2, 1, 4, 1, 2, 3, 3, 0, 3, 3, 2, 3, 1, 2, 4, 2, 2, 4, 0, 1, 3, 0, 3, 0, 2, 1, 0, 0, 4, 0, 1, 4, 1, 3, 3, 2, 0, 3, 4, 4, 1, 2, 1, 3, 3, 1, 0, 3, 3, 2, 4, 3, 3, 3, 2, 3, 4, 4, 4, 1, 1, 0, 4, 2, 2, 1, 4, 3, 0, 4, 2, 4, 3, 4, 0, 3, 3, 1, 2, 4, 1, 4, 0, 4, 4, 2, 2, 3, 0, 4, 2, 3, 1, 4, 2, 0, 3, 3, 3, 4, 4, 3, 0, 4, 4, 4, 3, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 3, 0, 3, 2, 3, 3, 0, 3, 2, 1, 1, 3, 2, 2, 1, 3, 0, 0, 4, 3, 1, 2] pubkeycol1018 = [1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 3, 0, 2, 3, 0, 4, 4, 4, 0, 4, 0, 0, 4, 3, 1, 4, 2, 2, 2, 0, 1, 0, 1, 1, 4, 2, 0, 0, 1, 0, 2, 4, 4, 1, 1, 0, 0, 4, 2, 3, 0, 2, 4, 2, 3, 1, 2, 2, 3, 4, 3, 3, 1, 2, 4, 2, 1, 2, 0, 2, 2, 3, 3, 3, 2, 4, 2, 4, 4, 2, 1, 1, 1, 4, 1, 2, 4, 2, 2, 2, 0, 2, 2, 3, 1, 3, 1, 2, 2, 2, 1, 0, 4, 1, 0, 3, 1, 0, 3, 1, 2, 0, 3, 1, 3, 2, 1, 2, 2, 2, 3, 4, 3, 4, 4, 3, 2, 4, 1, 0, 3, 3, 0, 0, 1, 3, 2, 3, 3, 0, 4, 2, 4, 1, 2, 4, 2, 3, 4, 2, 4, 0, 2, 0, 2, 1, 2, 2, 4, 1, 2, 0, 3, 4, 3, 2, 3, 2, 3, 0, 0, 1, 4, 3, 3, 4, 4, 1, 1, 3, 4, 1, 3, 2, 3, 1, 4, 2, 4, 4, 4, 1, 4, 0, 3, 4, 1, 0, 4, 1, 4, 2, 3, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 4, 4, 2, 1, 0, 0, 1, 0, 4, 1, 4, 1, 1, 0, 3, 4, 1, 3, 0, 1, 4, 2, 1, 3, 1, 1, 4, 1, 3, 2, 1, 1, 0, 0, 0, 4, 0, 4, 2, 1, 2, 2, 4, 2, 0, 0, 2, 3, 3, 2, 4, 1, 2, 2, 3, 4, 2, 2, 2, 3, 0, 4, 3, 3, 4, 3, 4, 1, 2, 0, 2, 2, 4, 4, 4, 1, 3, 0, 4, 1, 2, 4, 1, 3, 0, 1, 4, 0, 1, 4, 4, 0, 0, 0, 2, 0, 4, 2, 1, 2, 1, 0, 4, 1, 0, 1, 2, 2, 3, 2, 0, 4, 2, 1, 4, 1, 1, 0, 3, 4, 2, 4, 1, 2, 2, 4, 2, 4, 1, 2, 1, 0, 0, 4, 0, 3, 4, 0, 4, 4, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 4, 1, 4, 0, 0, 1, 0, 0, 1, 2, 2, 3, 0, 2, 3, 0, 2, 1, 1, 0, 0, 1, 3, 1, 0, 3, 1, 2, 3, 4, 2, 0, 3, 2, 0, 1, 2, 2, 0, 0, 1, 4, 1, 4, 1, 4, 4, 1, 2, 3, 4, 1, 3, 4, 4, 1, 0, 3, 1, 4, 4, 4, 1, 4, 3, 3, 0, 3, 3, 4, 0, 1, 1, 4, 1, 1, 1, 0, 2, 4, 0, 2, 1, 3, 4, 3, 3, 3, 4, 0, 4, 0, 3, 2, 0, 3, 1, 0, 0, 3, 4, 2, 0, 1, 0, 3, 3, 2] pubkeycol1019 = [3, 1, 0, 4, 2, 0, 2, 4, 4, 2, 0, 4, 0, 4, 0, 0, 2, 2, 2, 2, 0, 0, 1, 3, 4, 4, 0, 4, 0, 1, 2, 1, 1, 3, 1, 4, 3, 0, 4, 3, 2, 2, 2, 0, 3, 0, 1, 3, 4, 3, 2, 4, 4, 2, 0, 1, 1, 3, 0, 3, 4, 4, 4, 1, 0, 2, 0, 2, 4, 4, 0, 0, 4, 0, 4, 0, 1, 1, 1, 0, 2, 0, 4, 3, 2, 2, 3, 3, 1, 3, 3, 1, 3, 4, 0, 4, 1, 3, 0, 0, 4, 3, 3, 3, 4, 2, 2, 3, 3, 4, 4, 4, 1, 2, 2, 3, 4, 0, 0, 2, 3, 0, 1, 2, 2, 1, 4, 2, 2, 4, 1, 1, 4, 1, 4, 4, 2, 1, 4, 0, 1, 3, 0, 0, 1, 1, 2, 2, 1, 3, 0, 1, 1, 0, 3, 1, 2, 2, 1, 2, 1, 3, 3, 3, 2, 1, 3, 2, 1, 1, 3, 4, 4, 1, 1, 4, 0, 3, 1, 1, 1, 3, 3, 3, 4, 3, 2, 1, 1, 4, 1, 1, 0, 3, 1, 1, 2, 4, 1, 4, 3, 2, 0, 1, 1, 0, 0, 1, 1, 0, 3, 0, 2, 2, 3, 0, 2, 3, 4, 4, 0, 3, 4, 4, 3, 3, 4, 3, 0, 4, 1, 2, 3, 0, 0, 4, 4, 3, 3, 3, 2, 3, 1, 0, 3, 0, 0, 2, 0, 2, 4, 3, 1, 2, 4, 2, 3, 0, 2, 0, 2, 3, 1, 0, 3, 4, 2, 2, 1, 3, 4, 1, 2, 2, 4, 4, 3, 1, 1, 0, 2, 3, 1, 4, 3, 1, 1, 4, 3, 2, 1, 4, 1, 4, 3, 2, 1, 0, 4, 2, 2, 0, 1, 3, 2, 3, 4, 3, 2, 3, 0, 3, 0, 4, 2, 0, 0, 4, 4, 1, 0, 0, 4, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 4, 0, 1, 1, 0, 0, 1, 4, 3, 4, 4, 2, 3, 3, 0, 4, 4, 2, 4, 3, 4, 2, 0, 2, 3, 0, 3, 4, 4, 2, 3, 0, 2, 4, 1, 4, 1, 2, 0, 2, 1, 3, 3, 1, 0, 1, 2, 3, 0, 1, 3, 4, 3, 1, 0, 1, 3, 3, 3, 0, 1, 1, 2, 1, 4, 4, 3, 4, 2, 4, 3, 4, 0, 0, 2, 3, 4, 1, 4, 2, 2, 1, 3, 3, 2, 1, 4, 3, 0, 4, 0, 3, 2, 3, 3, 0, 3, 4, 2, 2, 4, 4, 4, 3, 1, 2, 2, 3, 1, 3, 2, 2, 1, 4, 4, 3, 1, 4, 0, 2, 0, 2, 4, 1, 1, 1, 0, 3, 2, 2, 0, 4, 3, 4, 3, 1, 1, 1, 0, 1, 2, 0, 1, 4, 4, 4] pubkeycol1020 = [0, 1, 1, 0, 2, 2, 1, 4, 1, 3, 3, 2, 2, 4, 3, 0, 2, 2, 2, 3, 3, 1, 4, 3, 0, 2, 1, 3, 3, 1, 1, 0, 4, 4, 2, 2, 1, 1, 2, 4, 3, 0, 3, 1, 3, 0, 1, 2, 3, 4, 2, 1, 4, 0, 2, 1, 2, 4, 1, 4, 1, 4, 1, 1, 2, 4, 0, 1, 1, 4, 3, 0, 0, 0, 1, 3, 0, 4, 1, 4, 2, 0, 3, 4, 2, 1, 0, 1, 0, 3, 4, 0, 0, 2, 1, 2, 0, 2, 4, 0, 1, 4, 0, 1, 1, 4, 1, 2, 2, 3, 2, 4, 1, 0, 4, 1, 2, 0, 4, 4, 3, 1, 1, 3, 4, 0, 4, 3, 4, 1, 3, 3, 4, 4, 0, 2, 4, 3, 1, 3, 3, 1, 2, 0, 2, 4, 3, 3, 2, 4, 0, 2, 2, 0, 4, 4, 3, 0, 0, 0, 4, 4, 3, 3, 4, 4, 2, 2, 4, 2, 3, 2, 2, 4, 0, 1, 3, 1, 0, 4, 4, 2, 3, 0, 2, 1, 1, 3, 0, 3, 4, 2, 1, 1, 3, 0, 0, 1, 4, 4, 0, 4, 0, 1, 0, 4, 1, 2, 1, 4, 2, 4, 1, 0, 4, 3, 0, 2, 2, 3, 2, 4, 2, 0, 3, 4, 2, 4, 4, 3, 4, 0, 4, 3, 4, 2, 4, 2, 2, 0, 1, 0, 3, 3, 0, 4, 3, 0, 1, 4, 0, 0, 3, 4, 0, 0, 0, 2, 4, 3, 2, 3, 2, 0, 0, 3, 3, 1, 3, 0, 4, 3, 2, 3, 1, 3, 1, 3, 1, 0, 1, 1, 2, 3, 3, 3, 0, 4, 3, 1, 4, 1, 2, 0, 3, 4, 3, 1, 2, 3, 2, 4, 2, 0, 4, 4, 3, 3, 0, 0, 3, 2, 4, 4, 0, 3, 4, 2, 4, 0, 3, 4, 4, 0, 1, 4, 3, 1, 3, 1, 1, 1, 3, 2, 4, 0, 2, 4, 0, 2, 2, 2, 2, 3, 2, 1, 2, 4, 1, 4, 4, 3, 4, 3, 3, 4, 1, 2, 3, 0, 4, 1, 4, 0, 0, 1, 4, 1, 3, 2, 3, 1, 2, 3, 2, 3, 2, 0, 3, 2, 4, 4, 3, 3, 3, 0, 3, 1, 1, 0, 3, 4, 4, 2, 4, 1, 4, 2, 0, 3, 0, 3, 4, 4, 1, 2, 4, 4, 4, 0, 1, 3, 3, 1, 3, 1, 0, 1, 1, 1, 3, 1, 4, 2, 4, 4, 1, 1, 0, 3, 3, 0, 2, 3, 1, 0, 1, 0, 0, 2, 2, 2, 3, 3, 0, 0, 3, 2, 0, 4, 4, 2, 0, 1, 0, 1, 2, 4, 4, 0, 0, 0, 3, 1, 4, 0, 4, 2, 3, 3, 1, 3, 2, 3, 2, 2, 3, 1, 3, 3] pubkeycol1021 = [2, 3, 3, 3, 1, 4, 3, 2, 2, 2, 0, 3, 4, 0, 4, 3, 2, 2, 3, 2, 0, 2, 1, 2, 1, 3, 1, 1, 2, 3, 2, 3, 0, 2, 1, 3, 4, 3, 2, 1, 3, 4, 3, 0, 2, 4, 1, 3, 1, 2, 2, 4, 2, 3, 3, 1, 4, 4, 1, 1, 3, 4, 4, 1, 1, 3, 2, 4, 0, 4, 1, 1, 2, 0, 2, 2, 3, 0, 3, 1, 2, 1, 1, 2, 4, 4, 2, 1, 1, 0, 2, 2, 2, 4, 4, 3, 0, 3, 0, 3, 2, 1, 1, 1, 0, 4, 3, 3, 2, 0, 2, 2, 2, 3, 1, 0, 1, 0, 3, 1, 3, 3, 0, 2, 2, 4, 3, 1, 0, 2, 0, 3, 2, 3, 4, 4, 4, 2, 0, 1, 1, 0, 4, 2, 3, 1, 0, 3, 3, 0, 2, 4, 1, 4, 0, 1, 2, 3, 3, 0, 2, 0, 4, 0, 1, 3, 2, 1, 3, 3, 1, 1, 1, 4, 0, 0, 3, 2, 2, 2, 3, 3, 1, 0, 3, 2, 3, 3, 4, 2, 3, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 4, 2, 2, 0, 0, 4, 0, 2, 1, 1, 1, 3, 3, 2, 1, 0, 3, 1, 0, 2, 4, 4, 0, 2, 1, 1, 4, 1, 3, 0, 1, 0, 4, 0, 3, 2, 3, 4, 3, 2, 0, 4, 2, 3, 3, 4, 2, 2, 1, 0, 3, 2, 3, 1, 3, 4, 0, 4, 2, 3, 4, 0, 0, 2, 0, 2, 4, 2, 3, 1, 3, 4, 2, 4, 2, 4, 4, 4, 4, 1, 2, 1, 0, 1, 4, 2, 4, 0, 0, 4, 4, 1, 4, 1, 4, 2, 2, 4, 3, 0, 0, 0, 0, 4, 2, 2, 2, 4, 4, 3, 4, 2, 0, 3, 2, 0, 4, 3, 3, 1, 2, 1, 3, 4, 2, 0, 0, 2, 3, 3, 0, 4, 1, 3, 0, 1, 0, 1, 2, 1, 1, 3, 3, 2, 4, 2, 1, 3, 4, 2, 1, 1, 1, 1, 4, 0, 0, 0, 1, 0, 2, 2, 1, 0, 4, 0, 4, 4, 1, 3, 1, 0, 3, 0, 2, 4, 4, 1, 3, 2, 0, 1, 4, 4, 3, 0, 4, 4, 4, 4, 2, 2, 2, 3, 0, 3, 4, 4, 0, 1, 2, 3, 4, 3, 4, 3, 3, 1, 3, 2, 0, 0, 0, 1, 1, 3, 0, 0, 4, 3, 0, 3, 1, 3, 4, 4, 3, 0, 3, 0, 1, 3, 0, 0, 1, 1, 0, 4, 4, 0, 0, 0, 2, 2, 0, 4, 4, 3, 2, 4, 1, 3, 4, 1, 3, 4, 4, 1, 0, 0, 3, 0, 4, 2, 3, 0, 1, 3, 4, 1, 2, 2, 2, 1, 1, 3, 1, 4, 3] pubkeycol1022 = [0, 2, 2, 0, 0, 3, 4, 0, 0, 3, 4, 0, 4, 0, 1, 0, 1, 0, 3, 4, 3, 4, 3, 3, 4, 3, 0, 2, 1, 4, 2, 4, 0, 1, 2, 3, 0, 0, 2, 1, 2, 4, 4, 2, 1, 2, 1, 3, 0, 2, 1, 3, 0, 1, 0, 0, 3, 2, 0, 1, 3, 3, 2, 1, 0, 4, 1, 4, 4, 3, 4, 4, 3, 1, 0, 2, 3, 0, 3, 3, 3, 4, 2, 1, 3, 1, 2, 0, 4, 2, 4, 3, 2, 4, 1, 2, 3, 1, 3, 3, 0, 1, 0, 4, 0, 0, 3, 2, 3, 0, 0, 1, 1, 2, 4, 4, 3, 4, 3, 1, 1, 2, 3, 2, 2, 3, 0, 4, 2, 4, 2, 4, 2, 0, 4, 4, 1, 3, 1, 2, 2, 2, 0, 2, 0, 4, 0, 1, 0, 4, 1, 2, 3, 0, 0, 0, 4, 0, 0, 3, 0, 0, 1, 0, 2, 3, 1, 0, 1, 4, 1, 3, 1, 2, 4, 3, 0, 3, 0, 3, 1, 4, 2, 2, 0, 4, 2, 2, 1, 3, 3, 4, 3, 2, 2, 0, 1, 1, 2, 3, 3, 2, 3, 0, 3, 4, 0, 4, 2, 4, 4, 1, 4, 4, 4, 3, 1, 2, 3, 0, 0, 2, 0, 1, 2, 1, 1, 2, 4, 4, 4, 0, 3, 4, 0, 0, 1, 2, 3, 1, 0, 2, 2, 1, 2, 0, 2, 3, 0, 0, 1, 0, 3, 0, 1, 2, 2, 0, 0, 1, 3, 4, 2, 1, 2, 3, 4, 2, 0, 1, 4, 4, 3, 3, 0, 4, 0, 4, 4, 1, 0, 3, 1, 0, 3, 2, 4, 0, 0, 3, 0, 0, 3, 3, 0, 3, 4, 3, 2, 0, 0, 3, 3, 0, 3, 0, 4, 1, 3, 4, 2, 4, 3, 3, 0, 2, 0, 0, 4, 2, 1, 1, 2, 4, 0, 1, 2, 3, 4, 3, 0, 1, 2, 0, 0, 2, 2, 4, 2, 2, 3, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 4, 4, 4, 1, 2, 4, 2, 3, 1, 0, 2, 3, 2, 4, 4, 3, 0, 3, 2, 1, 1, 2, 2, 1, 4, 2, 0, 4, 1, 1, 0, 2, 3, 1, 1, 1, 3, 3, 4, 3, 3, 4, 4, 1, 4, 4, 4, 0, 2, 4, 2, 4, 0, 4, 0, 1, 1, 0, 2, 3, 0, 1, 1, 0, 4, 3, 1, 3, 0, 2, 4, 0, 2, 3, 1, 3, 1, 1, 2, 3, 3, 2, 4, 2, 1, 0, 2, 1, 3, 1, 0, 4, 0, 1, 0, 0, 3, 4, 0, 3, 1, 4, 2, 4, 1, 1, 0, 1, 4, 0, 1, 3, 1, 1, 1, 2, 4, 4, 1, 1, 3, 4, 1, 2, 4, 1, 3] pubkeycol1023 = [0, 2, 0, 1, 1, 2, 2, 0, 3, 2, 2, 2, 2, 1, 4, 3, 1, 1, 1, 1, 3, 0, 2, 2, 0, 4, 3, 3, 1, 4, 1, 3, 4, 4, 3, 1, 3, 3, 1, 3, 0, 0, 3, 2, 4, 1, 3, 2, 4, 0, 2, 2, 3, 1, 4, 3, 3, 3, 3, 0, 2, 4, 0, 3, 1, 3, 0, 2, 2, 2, 3, 4, 1, 1, 4, 3, 0, 4, 4, 3, 4, 2, 2, 4, 0, 4, 0, 2, 3, 2, 1, 0, 0, 2, 0, 3, 2, 3, 3, 4, 3, 3, 1, 0, 1, 0, 2, 3, 1, 0, 0, 2, 4, 1, 3, 3, 3, 1, 0, 4, 4, 1, 0, 1, 4, 4, 4, 2, 3, 1, 1, 1, 0, 0, 0, 3, 4, 1, 4, 1, 3, 1, 4, 2, 4, 3, 1, 0, 3, 3, 4, 4, 4, 4, 2, 1, 1, 0, 0, 3, 1, 0, 0, 2, 3, 3, 2, 1, 3, 2, 1, 4, 4, 2, 1, 1, 2, 4, 4, 1, 2, 2, 2, 2, 4, 0, 4, 1, 1, 2, 2, 4, 4, 3, 0, 1, 3, 3, 1, 2, 0, 1, 1, 3, 2, 3, 4, 3, 3, 0, 3, 0, 4, 4, 2, 1, 4, 4, 1, 3, 0, 3, 3, 3, 0, 0, 0, 4, 2, 4, 3, 0, 3, 4, 3, 2, 1, 2, 1, 1, 1, 3, 0, 2, 1, 3, 2, 0, 3, 1, 2, 2, 4, 2, 0, 4, 2, 4, 4, 3, 0, 4, 1, 1, 2, 3, 4, 1, 0, 3, 4, 4, 2, 4, 3, 2, 3, 1, 4, 1, 3, 0, 0, 3, 0, 0, 0, 1, 3, 4, 3, 0, 3, 0, 0, 0, 1, 3, 0, 4, 3, 2, 2, 4, 3, 3, 1, 1, 2, 3, 1, 1, 3, 3, 3, 2, 1, 4, 3, 3, 0, 4, 3, 3, 2, 0, 3, 0, 0, 0, 2, 4, 1, 0, 0, 2, 1, 2, 0, 0, 4, 3, 1, 2, 1, 4, 2, 1, 1, 1, 0, 1, 2, 3, 4, 2, 3, 1, 2, 3, 3, 0, 0, 1, 0, 4, 3, 4, 2, 2, 4, 3, 3, 3, 1, 0, 1, 4, 1, 1, 0, 3, 1, 3, 2, 3, 0, 2, 3, 3, 0, 2, 3, 0, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 4, 2, 0, 0, 4, 0, 0, 4, 1, 0, 1, 1, 4, 0, 1, 0, 0, 4, 4, 4, 1, 2, 3, 0, 2, 2, 1, 0, 2, 2, 2, 2, 3, 4, 3, 0, 1, 0, 1, 0, 1, 2, 0, 0, 4, 0, 0, 0, 4, 1, 4, 4, 4, 2, 2, 2, 4, 2, 4, 0, 1, 0, 4, 0, 4, 1, 2, 4, 0, 2, 4, 3, 4, 1, 0, 3] pubkeycol1024 = [1, 2, 1, 3, 2, 2, 1, 4, 2, 1, 4, 2, 0, 0, 2, 3, 2, 0, 3, 3, 2, 2, 3, 2, 4, 4, 1, 4, 3, 0, 2, 1, 2, 2, 3, 1, 1, 4, 2, 2, 1, 3, 4, 3, 2, 0, 0, 2, 2, 1, 3, 3, 1, 2, 0, 0, 2, 2, 2, 0, 4, 2, 2, 3, 0, 4, 1, 0, 3, 1, 2, 0, 3, 2, 4, 1, 1, 2, 3, 1, 2, 3, 4, 1, 1, 2, 3, 2, 4, 1, 4, 2, 4, 3, 1, 3, 1, 4, 1, 1, 4, 1, 2, 2, 1, 4, 0, 2, 2, 1, 0, 4, 3, 3, 4, 3, 0, 0, 4, 2, 4, 3, 2, 3, 1, 3, 1, 1, 4, 2, 4, 1, 3, 3, 3, 4, 0, 1, 2, 0, 4, 0, 1, 4, 3, 2, 3, 2, 0, 4, 3, 0, 2, 0, 3, 4, 0, 0, 1, 4, 1, 0, 1, 1, 1, 1, 3, 4, 4, 4, 1, 1, 1, 2, 3, 1, 4, 1, 0, 4, 2, 3, 0, 4, 2, 4, 1, 2, 1, 4, 4, 0, 2, 3, 3, 1, 3, 3, 2, 2, 1, 1, 3, 0, 1, 2, 1, 2, 3, 1, 1, 1, 0, 0, 2, 1, 1, 4, 3, 4, 1, 1, 2, 2, 1, 3, 2, 0, 4, 2, 1, 2, 3, 3, 1, 0, 4, 4, 2, 0, 2, 1, 2, 0, 0, 1, 3, 3, 1, 0, 1, 1, 4, 3, 0, 0, 3, 1, 4, 4, 1, 1, 4, 4, 1, 0, 1, 4, 0, 3, 0, 4, 1, 2, 4, 4, 2, 1, 0, 1, 1, 3, 0, 2, 3, 4, 1, 1, 2, 2, 1, 0, 3, 1, 2, 4, 0, 1, 0, 2, 2, 1, 3, 1, 3, 0, 0, 2, 3, 2, 2, 0, 2, 4, 3, 0, 0, 2, 0, 1, 1, 0, 4, 3, 0, 4, 3, 0, 0, 4, 1, 3, 2, 1, 1, 2, 0, 4, 4, 3, 2, 4, 2, 4, 2, 4, 4, 3, 2, 0, 4, 4, 1, 4, 1, 2, 3, 1, 3, 2, 4, 3, 4, 2, 4, 0, 2, 3, 3, 1, 3, 1, 3, 1, 0, 4, 1, 1, 2, 2, 3, 0, 4, 2, 3, 3, 2, 0, 3, 2, 3, 1, 0, 3, 1, 2, 3, 2, 0, 3, 4, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 4, 0, 3, 4, 2, 1, 1, 2, 2, 4, 4, 1, 2, 0, 1, 4, 3, 3, 2, 0, 1, 3, 3, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 3, 2, 0, 0, 4, 4, 2, 1, 4, 4, 4, 2, 2, 1, 4, 0, 3, 2, 2, 0, 1, 0, 0, 1, 3, 0, 3, 0, 0, 3, 0, 2, 3, 3, 4] pubkeycol1025 = [3, 4, 0, 2, 4, 0, 0, 3, 1, 0, 1, 1, 3, 4, 3, 2, 1, 1, 2, 2, 1, 2, 1, 3, 3, 3, 2, 2, 4, 1, 4, 4, 4, 3, 1, 1, 1, 0, 3, 3, 2, 1, 0, 0, 2, 3, 2, 2, 4, 0, 2, 1, 3, 1, 3, 2, 4, 0, 4, 4, 4, 4, 4, 1, 2, 3, 1, 4, 4, 4, 2, 2, 2, 3, 0, 4, 1, 4, 4, 1, 3, 1, 4, 0, 1, 4, 3, 2, 2, 0, 3, 2, 0, 2, 0, 2, 3, 3, 4, 2, 3, 4, 3, 3, 2, 2, 2, 0, 4, 3, 2, 0, 1, 4, 3, 1, 2, 2, 1, 4, 4, 2, 3, 4, 3, 4, 4, 4, 1, 0, 3, 1, 0, 4, 2, 0, 4, 2, 4, 0, 3, 2, 4, 4, 0, 0, 3, 4, 1, 0, 0, 2, 1, 4, 1, 0, 1, 3, 1, 4, 3, 1, 4, 4, 3, 1, 2, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 3, 4, 1, 2, 2, 2, 1, 4, 1, 3, 2, 4, 4, 2, 2, 4, 4, 3, 4, 2, 3, 4, 2, 0, 1, 1, 4, 0, 1, 2, 0, 1, 3, 2, 0, 3, 2, 3, 0, 1, 0, 4, 4, 2, 2, 3, 3, 3, 3, 4, 4, 4, 2, 1, 3, 1, 4, 4, 0, 1, 3, 3, 0, 1, 0, 1, 2, 3, 2, 2, 2, 2, 4, 0, 0, 2, 3, 3, 4, 3, 4, 3, 1, 2, 4, 1, 1, 4, 3, 0, 2, 2, 3, 3, 1, 3, 3, 1, 0, 2, 2, 1, 3, 4, 2, 4, 3, 4, 0, 0, 4, 2, 4, 1, 1, 3, 1, 3, 2, 3, 2, 3, 0, 1, 2, 3, 4, 3, 1, 0, 4, 0, 1, 4, 1, 4, 2, 4, 3, 3, 3, 3, 4, 1, 3, 4, 4, 4, 3, 4, 3, 3, 0, 1, 1, 0, 4, 3, 1, 3, 4, 3, 4, 1, 3, 2, 3, 1, 3, 3, 2, 0, 2, 0, 4, 2, 3, 3, 2, 2, 1, 1, 4, 1, 3, 1, 2, 2, 0, 2, 0, 2, 4, 2, 0, 1, 3, 2, 3, 2, 1, 0, 2, 4, 4, 3, 2, 0, 3, 4, 4, 3, 4, 2, 0, 1, 0, 4, 3, 4, 4, 4, 2, 1, 1, 3, 3, 1, 0, 0, 1, 0, 1, 4, 2, 4, 2, 0, 4, 3, 2, 3, 2, 3, 4, 2, 3, 2, 1, 0, 4, 3, 4, 4, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 3, 2, 3, 4, 2, 0, 3, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 4, 1] pubkeycol1026 = [4, 3, 3, 3, 3, 1, 4, 2, 1, 1, 0, 0, 4, 0, 2, 0, 4, 4, 4, 3, 3, 0, 0, 2, 0, 0, 1, 1, 4, 0, 1, 4, 0, 3, 3, 2, 1, 4, 2, 4, 4, 0, 0, 4, 3, 3, 4, 1, 3, 4, 0, 2, 3, 0, 2, 4, 2, 0, 0, 2, 3, 4, 4, 0, 2, 0, 1, 2, 4, 4, 4, 3, 1, 3, 2, 0, 0, 1, 4, 3, 4, 4, 0, 0, 0, 4, 0, 1, 0, 3, 4, 4, 2, 1, 3, 2, 0, 2, 4, 4, 3, 1, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 0, 1, 2, 4, 0, 4, 3, 3, 2, 0, 3, 4, 4, 3, 3, 0, 1, 1, 1, 3, 0, 1, 0, 0, 0, 1, 3, 0, 4, 2, 2, 1, 1, 0, 3, 3, 0, 0, 3, 4, 0, 0, 1, 2, 2, 1, 1, 4, 4, 1, 3, 1, 2, 0, 3, 1, 1, 1, 3, 2, 2, 3, 0, 4, 3, 4, 3, 1, 1, 0, 4, 3, 0, 1, 4, 0, 0, 4, 3, 2, 4, 4, 4, 1, 2, 3, 0, 0, 3, 4, 1, 4, 0, 3, 3, 3, 0, 2, 3, 4, 4, 2, 0, 2, 4, 2, 1, 4, 3, 3, 3, 1, 1, 0, 2, 1, 1, 2, 3, 3, 4, 1, 1, 3, 1, 3, 2, 0, 1, 1, 2, 2, 1, 3, 1, 3, 0, 0, 0, 0, 4, 0, 3, 1, 1, 2, 3, 1, 4, 0, 4, 4, 2, 3, 2, 0, 1, 3, 3, 3, 3, 3, 4, 2, 2, 0, 1, 0, 3, 3, 2, 4, 0, 3, 0, 0, 1, 4, 1, 4, 2, 2, 0, 2, 0, 0, 1, 3, 4, 4, 0, 0, 4, 1, 4, 2, 3, 0, 2, 2, 4, 2, 3, 1, 1, 0, 0, 3, 3, 0, 0, 1, 4, 2, 2, 4, 2, 4, 3, 2, 4, 0, 2, 3, 3, 2, 4, 3, 1, 2, 4, 1, 2, 2, 3, 1, 2, 2, 2, 2, 0, 1, 4, 2, 0, 1, 2, 1, 1, 3, 1, 0, 1, 3, 2, 2, 2, 3, 0, 3, 2, 1, 4, 3, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 3, 2, 2, 1, 0, 4, 1, 3, 0, 2, 4, 3, 4, 0, 2, 4, 2, 2, 1, 3, 0, 4, 4, 4, 2, 0, 4, 1, 4, 0, 3, 4, 0, 2, 1, 1, 0, 3, 1, 0, 1, 1, 3, 4, 1, 4, 1, 1, 4, 4, 4, 0, 0, 3, 1, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 2, 0, 1, 3, 2, 1, 1, 2, 1, 3, 2, 1, 4, 3, 0, 0, 4, 3, 4, 3, 3, 0, 3, 1, 3, 3, 4] pubkeycol1027 = [0, 2, 1, 3, 3, 1, 2, 4, 0, 3, 3, 2, 2, 0, 1, 4, 0, 1, 3, 1, 0, 1, 0, 4, 1, 0, 4, 0, 1, 2, 2, 4, 3, 4, 3, 1, 0, 4, 1, 1, 3, 2, 0, 0, 2, 3, 0, 3, 4, 2, 4, 1, 4, 2, 3, 4, 4, 2, 4, 2, 3, 2, 2, 0, 4, 2, 0, 3, 3, 0, 2, 4, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 3, 3, 4, 2, 4, 4, 0, 0, 1, 0, 2, 3, 0, 0, 2, 1, 3, 0, 0, 0, 4, 3, 4, 0, 2, 1, 0, 0, 1, 0, 3, 2, 4, 1, 3, 2, 2, 3, 1, 3, 4, 1, 3, 0, 4, 2, 1, 4, 3, 0, 1, 0, 3, 1, 4, 4, 2, 3, 4, 2, 3, 2, 3, 4, 3, 0, 2, 0, 1, 3, 4, 1, 4, 4, 4, 4, 0, 4, 2, 0, 3, 2, 2, 0, 4, 4, 3, 2, 2, 3, 2, 3, 0, 3, 0, 3, 4, 3, 1, 4, 2, 2, 3, 4, 1, 4, 2, 4, 0, 4, 3, 2, 3, 4, 4, 2, 2, 4, 3, 2, 1, 4, 1, 4, 0, 2, 0, 4, 2, 2, 4, 3, 4, 0, 1, 1, 2, 1, 0, 3, 0, 0, 2, 0, 3, 1, 2, 4, 3, 3, 4, 4, 0, 1, 1, 4, 2, 0, 4, 0, 2, 4, 3, 1, 2, 4, 3, 0, 1, 4, 3, 0, 3, 0, 2, 2, 1, 4, 4, 1, 0, 1, 1, 4, 2, 1, 0, 1, 3, 1, 3, 4, 3, 4, 1, 0, 2, 4, 0, 0, 2, 3, 1, 2, 4, 1, 3, 3, 2, 2, 4, 2, 4, 2, 3, 4, 0, 2, 2, 3, 2, 3, 1, 3, 0, 3, 4, 2, 2, 2, 0, 4, 2, 1, 3, 1, 2, 3, 4, 1, 4, 0, 4, 4, 1, 3, 1, 2, 0, 3, 3, 1, 4, 0, 4, 1, 1, 3, 1, 2, 1, 0, 3, 3, 1, 2, 0, 2, 1, 3, 0, 0, 3, 3, 3, 4, 3, 0, 1, 3, 1, 2, 2, 2, 1, 2, 2, 3, 0, 1, 1, 4, 4, 0, 2, 3, 2, 4, 3, 1, 4, 3, 1, 4, 4, 3, 0, 3, 3, 0, 4, 4, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 3, 3, 3, 3, 4, 0, 0, 0, 4, 0, 2, 0, 2, 4, 3, 3, 4, 2, 3, 2, 2, 2, 1, 2, 3, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 3, 4, 1, 3, 3, 0, 4, 1, 0, 2, 4, 3, 0, 2, 2, 0, 2, 0, 4, 3, 4, 1, 0, 3, 3, 0, 0, 0, 1, 3, 0, 2, 0, 2, 3, 1, 2, 1, 0, 2, 1] pubkeycol1028 = [1, 0, 3, 0, 2, 4, 1, 2, 4, 3, 0, 0, 3, 2, 1, 0, 4, 0, 0, 1, 4, 3, 1, 3, 3, 1, 3, 0, 2, 2, 3, 0, 3, 2, 2, 4, 3, 4, 1, 4, 1, 4, 3, 3, 4, 3, 1, 2, 0, 0, 1, 2, 2, 1, 1, 4, 4, 3, 0, 1, 2, 3, 0, 2, 3, 2, 0, 3, 1, 0, 0, 0, 2, 0, 2, 1, 4, 1, 0, 2, 2, 0, 2, 0, 2, 0, 4, 3, 4, 3, 0, 0, 1, 4, 3, 4, 0, 2, 0, 1, 2, 1, 1, 2, 0, 4, 1, 4, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 4, 3, 2, 1, 3, 3, 0, 3, 4, 4, 0, 1, 3, 3, 1, 3, 3, 3, 3, 1, 3, 1, 3, 0, 1, 1, 4, 1, 3, 1, 1, 1, 2, 1, 0, 3, 0, 2, 4, 2, 2, 4, 4, 2, 3, 3, 0, 1, 3, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 4, 2, 1, 3, 4, 1, 4, 3, 3, 2, 3, 3, 1, 3, 1, 1, 0, 0, 3, 4, 3, 3, 3, 4, 2, 0, 0, 1, 4, 2, 4, 2, 3, 1, 2, 1, 1, 3, 4, 3, 1, 1, 2, 1, 4, 0, 0, 3, 1, 0, 1, 0, 0, 0, 4, 4, 4, 2, 1, 4, 4, 4, 1, 1, 4, 2, 2, 4, 3, 2, 0, 2, 3, 3, 2, 4, 1, 0, 4, 1, 1, 2, 4, 3, 1, 0, 2, 4, 2, 2, 4, 1, 3, 1, 3, 3, 3, 4, 3, 3, 4, 0, 4, 1, 1, 1, 3, 2, 3, 4, 0, 4, 4, 4, 3, 4, 3, 0, 1, 0, 1, 3, 1, 3, 3, 4, 0, 2, 4, 4, 1, 1, 4, 2, 3, 4, 3, 4, 4, 3, 2, 2, 3, 2, 0, 3, 2, 2, 3, 0, 3, 1, 3, 4, 1, 4, 2, 2, 1, 3, 4, 2, 1, 1, 4, 2, 1, 1, 0, 0, 0, 1, 1, 4, 3, 0, 4, 2, 1, 2, 1, 0, 4, 0, 2, 2, 3, 1, 0, 4, 1, 3, 4, 0, 1, 0, 2, 1, 3, 0, 2, 3, 0, 1, 0, 3, 3, 0, 2, 3, 1, 0, 4, 2, 0, 4, 1, 2, 3, 4, 0, 2, 1, 0, 3, 3, 3, 4, 1, 0, 0, 4, 4, 0, 3, 0, 0, 3, 0, 3, 4, 1, 1, 0, 2, 4, 0, 1, 1, 3, 2, 4, 2, 2, 2, 2, 3, 3, 4, 1, 4, 1, 2, 3, 3, 3, 2, 2, 0, 1, 0, 2, 4, 3, 4, 0, 2, 2, 2, 1, 4, 3, 2, 1, 0, 3, 2, 0, 4, 4, 4, 2, 1, 1, 2, 0, 2, 3, 1, 2] pubkeycol1029 = [0, 4, 2, 3, 4, 2, 3, 2, 1, 0, 1, 3, 1, 2, 1, 2, 1, 3, 4, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 3, 4, 0, 0, 4, 1, 4, 0, 0, 1, 3, 0, 0, 0, 2, 4, 0, 0, 3, 3, 0, 1, 4, 0, 4, 2, 0, 4, 2, 4, 0, 1, 2, 4, 1, 0, 3, 1, 0, 4, 3, 2, 0, 0, 3, 0, 2, 4, 0, 2, 4, 4, 4, 1, 3, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 4, 2, 4, 3, 2, 0, 4, 3, 1, 2, 3, 3, 0, 3, 3, 4, 4, 0, 4, 4, 0, 4, 1, 4, 0, 4, 2, 3, 2, 1, 4, 4, 2, 4, 2, 3, 2, 3, 2, 2, 1, 1, 0, 0, 3, 4, 1, 0, 2, 3, 0, 0, 1, 2, 4, 1, 4, 2, 4, 1, 3, 4, 4, 4, 0, 1, 0, 3, 4, 0, 2, 4, 1, 3, 0, 1, 0, 0, 1, 4, 2, 3, 4, 4, 0, 2, 4, 2, 3, 3, 0, 4, 1, 4, 0, 2, 0, 0, 2, 4, 1, 2, 2, 1, 0, 1, 1, 3, 4, 3, 1, 4, 2, 3, 2, 3, 1, 3, 0, 3, 0, 4, 4, 3, 4, 4, 4, 4, 2, 1, 3, 3, 1, 1, 0, 2, 1, 4, 4, 4, 4, 1, 3, 2, 4, 2, 0, 2, 2, 2, 0, 3, 4, 2, 0, 1, 1, 0, 3, 0, 1, 3, 0, 3, 1, 3, 3, 3, 2, 1, 2, 3, 0, 0, 4, 0, 1, 2, 0, 2, 4, 3, 4, 4, 2, 0, 0, 0, 0, 3, 2, 0, 4, 2, 4, 0, 1, 0, 0, 3, 1, 4, 3, 1, 3, 1, 1, 2, 1, 3, 4, 2, 3, 3, 1, 2, 1, 1, 2, 3, 2, 1, 3, 4, 4, 1, 4, 4, 0, 3, 3, 0, 3, 4, 3, 3, 3, 3, 2, 4, 3, 3, 1, 0, 3, 0, 2, 2, 3, 3, 4, 4, 2, 1, 2, 1, 0, 3, 4, 4, 1, 3, 4, 1, 2, 2, 4, 4, 2, 2, 2, 2, 3, 2, 2, 0, 3, 4, 3, 3, 3, 1, 1, 2, 0, 0, 0, 2, 0, 3, 1, 1, 3, 1, 3, 4, 0, 3, 2, 2, 0, 0, 2, 1, 4, 4, 0, 4, 0, 2, 0, 2, 0, 0, 1, 2, 2, 3, 2, 3, 3, 1, 3, 3, 0, 4, 3, 3, 3, 4, 2, 2, 2, 0, 1, 3, 3, 3, 0, 4, 4, 2, 4, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 4, 2, 4, 4, 4, 3, 1, 3, 0, 4, 0, 2, 0, 4, 0, 1, 1, 2, 3, 3] pubkeycol1030 = [1, 4, 2, 4, 4, 0, 3, 0, 3, 1, 2, 1, 4, 3, 1, 4, 4, 3, 1, 0, 3, 4, 2, 3, 0, 0, 2, 3, 1, 4, 0, 1, 2, 3, 2, 1, 2, 4, 4, 3, 1, 4, 4, 4, 0, 2, 2, 1, 2, 3, 2, 0, 3, 1, 4, 1, 4, 3, 2, 2, 3, 3, 3, 3, 0, 4, 3, 0, 2, 4, 1, 4, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 4, 1, 0, 1, 3, 0, 0, 1, 0, 4, 0, 0, 1, 1, 3, 0, 4, 0, 1, 0, 3, 1, 1, 3, 4, 1, 2, 3, 2, 3, 0, 4, 3, 1, 4, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 2, 4, 1, 1, 2, 0, 1, 4, 2, 3, 2, 3, 3, 1, 0, 3, 2, 3, 1, 0, 0, 4, 3, 1, 3, 2, 1, 0, 4, 3, 2, 0, 0, 0, 0, 4, 0, 3, 1, 4, 3, 2, 0, 0, 3, 4, 0, 1, 4, 0, 4, 2, 0, 0, 4, 3, 4, 4, 2, 1, 3, 2, 4, 0, 4, 2, 0, 3, 3, 0, 3, 2, 2, 1, 0, 0, 2, 2, 3, 4, 2, 4, 2, 4, 1, 4, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 4, 4, 2, 2, 1, 4, 3, 1, 2, 0, 0, 4, 4, 0, 2, 3, 0, 4, 3, 3, 1, 2, 1, 2, 3, 3, 3, 3, 1, 0, 3, 0, 0, 4, 0, 4, 4, 4, 1, 2, 3, 0, 1, 4, 1, 1, 2, 4, 4, 0, 2, 0, 3, 3, 2, 2, 0, 2, 0, 0, 3, 3, 0, 4, 4, 0, 1, 4, 0, 0, 1, 4, 3, 3, 0, 1, 0, 0, 0, 3, 1, 4, 1, 2, 2, 2, 0, 4, 3, 4, 2, 1, 0, 4, 1, 3, 3, 4, 2, 3, 4, 4, 0, 2, 4, 0, 2, 4, 2, 3, 1, 0, 1, 0, 3, 1, 2, 4, 1, 0, 4, 4, 2, 3, 1, 2, 0, 2, 3, 3, 1, 0, 0, 0, 4, 2, 0, 0, 4, 0, 4, 3, 1, 1, 2, 3, 3, 4, 3, 0, 1, 4, 1, 2, 1, 4, 3, 3, 2, 4, 4, 3, 2, 0, 0, 3, 3, 3, 0, 2, 3, 4, 1, 3, 3, 4, 0, 3, 2, 1, 1, 0, 4, 1, 0, 4, 2, 4, 2, 3, 2, 3, 4, 3, 3, 4, 4, 2, 4, 1, 0, 3, 3, 4, 2, 4, 3, 3, 0, 0, 3, 0, 4, 2, 0, 4, 4, 3, 0, 2, 2, 3, 4, 3, 3, 3, 3, 1, 0, 0, 3, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 3, 1, 0, 0, 3, 4, 3, 4, 2, 2] pubkeycol1031 = [3, 2, 1, 4, 2, 3, 4, 1, 0, 4, 2, 1, 3, 2, 2, 2, 1, 2, 1, 4, 2, 0, 0, 4, 0, 2, 0, 1, 2, 4, 4, 0, 3, 1, 1, 2, 4, 0, 2, 2, 4, 0, 0, 0, 2, 3, 1, 2, 1, 4, 3, 2, 4, 2, 0, 3, 4, 4, 3, 1, 0, 0, 3, 1, 4, 2, 0, 1, 3, 2, 4, 0, 1, 3, 4, 0, 1, 4, 2, 0, 2, 4, 0, 1, 3, 2, 4, 2, 0, 0, 0, 1, 4, 1, 4, 3, 4, 4, 2, 3, 2, 0, 3, 3, 0, 4, 1, 1, 0, 0, 4, 1, 4, 1, 3, 1, 1, 4, 3, 1, 4, 3, 3, 1, 4, 0, 4, 0, 0, 3, 0, 0, 3, 3, 3, 2, 2, 0, 1, 4, 2, 1, 0, 2, 2, 3, 4, 2, 4, 0, 3, 1, 3, 3, 1, 2, 2, 0, 4, 3, 0, 2, 1, 3, 1, 3, 3, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 4, 2, 2, 4, 2, 3, 0, 1, 1, 2, 2, 2, 4, 0, 1, 2, 1, 1, 2, 4, 4, 2, 1, 3, 0, 3, 3, 1, 4, 1, 2, 1, 4, 2, 1, 2, 4, 4, 2, 0, 2, 1, 1, 0, 3, 2, 0, 2, 1, 3, 0, 3, 2, 3, 2, 2, 3, 4, 0, 2, 0, 3, 1, 1, 4, 2, 1, 0, 2, 1, 2, 2, 2, 4, 3, 1, 1, 0, 1, 2, 2, 1, 4, 1, 2, 1, 1, 2, 2, 4, 0, 4, 1, 1, 1, 2, 0, 1, 0, 2, 0, 3, 1, 2, 2, 0, 2, 3, 3, 3, 2, 3, 2, 0, 1, 1, 2, 4, 1, 0, 4, 1, 2, 0, 3, 2, 4, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 4, 0, 3, 2, 3, 0, 4, 1, 2, 2, 3, 0, 4, 4, 0, 1, 1, 1, 4, 4, 2, 1, 0, 0, 3, 0, 2, 3, 4, 3, 2, 2, 0, 2, 4, 1, 1, 3, 3, 4, 0, 4, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 3, 2, 2, 4, 0, 2, 2, 0, 3, 4, 4, 3, 3, 3, 4, 2, 1, 0, 0, 1, 2, 3, 1, 2, 2, 4, 4, 3, 3, 1, 2, 0, 3, 1, 1, 4, 0, 4, 4, 2, 2, 4, 2, 2, 3, 2, 4, 4, 2, 1, 1, 4, 1, 3, 3, 3, 0, 2, 4, 1, 2, 3, 0, 0, 2, 4, 2, 3, 2, 4, 3, 2, 0, 0, 4, 1, 0, 0, 3, 2, 0, 2, 3, 1, 3, 2, 3, 2, 4, 3, 2, 4, 2, 1, 0, 3, 3, 0, 0, 4, 2, 2, 3, 4, 0, 4, 1, 3, 1, 0, 2] pubkeycol1032 = [1, 1, 1, 3, 0, 0, 2, 1, 1, 3, 3, 0, 2, 4, 2, 2, 2, 3, 0, 2, 2, 4, 1, 4, 4, 2, 2, 1, 4, 2, 1, 1, 3, 2, 4, 3, 1, 0, 2, 1, 3, 4, 0, 2, 2, 0, 1, 0, 1, 3, 2, 3, 2, 3, 0, 0, 2, 0, 3, 2, 1, 1, 3, 2, 1, 2, 2, 3, 3, 4, 4, 0, 0, 0, 1, 3, 2, 3, 2, 1, 1, 2, 4, 1, 4, 4, 1, 0, 1, 2, 2, 3, 2, 3, 3, 4, 1, 1, 2, 0, 4, 3, 4, 4, 0, 1, 3, 1, 4, 1, 4, 3, 1, 1, 0, 0, 1, 2, 1, 0, 4, 0, 1, 2, 0, 1, 1, 2, 4, 3, 1, 1, 1, 3, 1, 4, 1, 4, 0, 3, 2, 3, 2, 0, 1, 1, 1, 2, 2, 0, 1, 3, 1, 3, 3, 3, 2, 0, 1, 0, 2, 1, 0, 4, 4, 0, 3, 2, 4, 1, 0, 4, 0, 3, 3, 2, 4, 0, 0, 2, 1, 4, 4, 3, 0, 4, 2, 0, 0, 3, 4, 0, 2, 0, 1, 4, 0, 4, 0, 4, 0, 1, 3, 2, 2, 2, 4, 2, 0, 3, 4, 1, 2, 4, 1, 4, 1, 2, 2, 4, 2, 3, 0, 2, 3, 4, 4, 4, 0, 2, 4, 4, 3, 1, 4, 4, 4, 4, 3, 3, 3, 1, 2, 2, 0, 1, 0, 4, 2, 4, 3, 4, 3, 0, 4, 4, 0, 1, 3, 1, 1, 2, 0, 1, 4, 4, 4, 2, 0, 2, 2, 3, 0, 4, 0, 2, 2, 4, 0, 1, 4, 4, 1, 3, 2, 2, 4, 3, 0, 1, 4, 1, 2, 1, 2, 0, 3, 3, 4, 2, 1, 3, 1, 2, 2, 3, 3, 3, 4, 0, 2, 0, 3, 0, 3, 2, 1, 4, 0, 0, 4, 2, 2, 2, 2, 3, 1, 1, 4, 3, 0, 0, 1, 0, 4, 0, 1, 1, 1, 3, 2, 0, 0, 2, 3, 4, 4, 4, 3, 0, 0, 2, 2, 1, 2, 2, 2, 0, 4, 4, 0, 0, 1, 2, 0, 4, 0, 3, 3, 0, 1, 3, 4, 3, 0, 0, 4, 4, 2, 2, 2, 3, 2, 1, 3, 2, 4, 1, 3, 3, 1, 0, 3, 0, 0, 4, 3, 4, 1, 2, 2, 4, 1, 3, 1, 4, 0, 0, 3, 3, 2, 0, 4, 0, 3, 0, 4, 4, 0, 4, 3, 3, 3, 1, 3, 0, 4, 2, 0, 2, 0, 1, 2, 1, 4, 3, 1, 2, 4, 1, 1, 1, 3, 3, 4, 3, 0, 0, 3, 2, 4, 3, 0, 1, 1, 3, 4, 2, 1, 3, 1, 1, 2, 4, 0, 1, 4, 4, 0, 1, 3, 4, 4, 2, 0, 1, 0, 4, 1, 1] pubkeycol1033 = [0, 2, 0, 4, 0, 0, 2, 3, 3, 4, 0, 1, 4, 0, 2, 3, 0, 0, 2, 2, 0, 1, 3, 2, 4, 0, 1, 4, 2, 2, 0, 2, 1, 3, 1, 0, 1, 2, 0, 1, 2, 1, 3, 0, 2, 4, 1, 3, 2, 2, 2, 4, 3, 3, 4, 2, 0, 1, 1, 4, 1, 4, 2, 3, 3, 0, 4, 2, 4, 3, 1, 1, 3, 1, 0, 3, 2, 2, 4, 4, 1, 1, 1, 3, 1, 1, 3, 0, 1, 3, 1, 2, 0, 1, 1, 0, 3, 3, 1, 4, 2, 1, 4, 2, 0, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 3, 3, 3, 0, 3, 2, 2, 2, 2, 4, 4, 2, 0, 1, 4, 1, 3, 4, 3, 4, 2, 3, 2, 2, 4, 3, 0, 2, 1, 2, 2, 1, 3, 1, 2, 0, 4, 3, 4, 1, 4, 0, 3, 4, 2, 4, 4, 2, 2, 4, 4, 3, 3, 0, 3, 3, 1, 1, 1, 2, 2, 3, 1, 4, 2, 4, 4, 0, 4, 2, 1, 4, 0, 4, 4, 2, 0, 1, 4, 2, 3, 1, 1, 4, 1, 0, 1, 3, 3, 0, 3, 4, 3, 1, 0, 4, 4, 0, 3, 2, 1, 1, 1, 3, 3, 3, 2, 3, 4, 2, 3, 0, 3, 2, 0, 0, 0, 1, 0, 2, 0, 3, 4, 1, 3, 3, 3, 1, 3, 2, 1, 4, 4, 3, 2, 4, 2, 0, 4, 2, 2, 1, 3, 2, 0, 3, 1, 2, 2, 4, 0, 0, 2, 3, 2, 1, 0, 2, 4, 3, 4, 1, 2, 2, 4, 4, 3, 0, 3, 3, 2, 2, 3, 1, 4, 2, 2, 3, 4, 3, 3, 1, 1, 3, 2, 3, 3, 2, 1, 3, 1, 1, 3, 4, 0, 4, 3, 3, 2, 0, 0, 2, 3, 3, 4, 4, 3, 4, 4, 4, 3, 2, 0, 2, 1, 1, 3, 1, 2, 2, 1, 3, 1, 0, 2, 0, 1, 4, 1, 3, 1, 2, 1, 2, 4, 4, 3, 1, 4, 1, 1, 1, 4, 3, 2, 3, 2, 2, 4, 1, 2, 2, 0, 0, 0, 0, 2, 2, 3, 0, 2, 1, 2, 1, 1, 3, 2, 3, 1, 3, 3, 3, 3, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 3, 1, 4, 3, 4, 2, 2, 4, 4, 0, 2, 3, 0, 3, 1, 0, 1, 2, 4, 2, 3, 2, 1, 3, 1, 4, 4, 4, 4, 2, 3, 4, 2, 3, 1, 3, 0, 0, 2, 0, 0, 4, 3, 0, 0, 1, 4, 0, 3, 4, 0, 4, 0, 3, 1, 0, 3, 1, 1, 2, 4, 1, 4, 4, 3, 0, 1, 3, 1, 1, 3, 3, 0, 4, 1, 2, 2, 3, 0, 0, 3] pubkeycol1034 = [0, 2, 3, 1, 4, 3, 1, 3, 0, 2, 3, 3, 3, 2, 1, 2, 0, 3, 0, 3, 2, 0, 0, 2, 4, 3, 3, 2, 1, 0, 1, 3, 3, 1, 2, 2, 1, 2, 3, 4, 0, 1, 0, 0, 4, 2, 2, 0, 1, 4, 3, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 1, 3, 0, 3, 1, 0, 0, 0, 3, 3, 2, 2, 4, 4, 1, 3, 4, 2, 4, 4, 1, 0, 2, 2, 2, 0, 2, 1, 3, 3, 3, 1, 4, 1, 3, 4, 4, 2, 2, 3, 1, 0, 4, 3, 0, 2, 3, 2, 1, 4, 1, 4, 1, 4, 3, 0, 0, 3, 2, 1, 3, 0, 3, 2, 2, 4, 2, 4, 2, 0, 1, 1, 4, 1, 0, 3, 3, 3, 3, 0, 4, 4, 4, 3, 3, 4, 1, 0, 1, 0, 2, 3, 0, 0, 1, 1, 3, 3, 1, 3, 2, 1, 2, 3, 1, 4, 0, 0, 2, 0, 1, 1, 3, 0, 0, 1, 0, 4, 1, 4, 1, 1, 3, 2, 0, 0, 1, 1, 1, 2, 2, 4, 3, 4, 3, 0, 4, 0, 3, 1, 3, 4, 3, 4, 2, 1, 0, 0, 3, 4, 0, 1, 1, 2, 2, 2, 2, 1, 2, 3, 4, 2, 4, 4, 3, 2, 1, 4, 2, 2, 4, 4, 1, 2, 1, 0, 0, 2, 1, 2, 4, 2, 1, 4, 4, 3, 4, 0, 1, 4, 3, 1, 1, 0, 4, 0, 2, 1, 2, 3, 0, 4, 0, 3, 2, 4, 2, 3, 2, 0, 4, 2, 0, 3, 4, 2, 1, 1, 3, 2, 2, 3, 4, 0, 3, 4, 2, 1, 1, 4, 3, 3, 3, 0, 1, 3, 3, 1, 0, 4, 3, 0, 3, 0, 2, 4, 2, 3, 2, 1, 2, 0, 4, 4, 0, 0, 4, 0, 3, 2, 4, 1, 4, 0, 2, 2, 4, 0, 3, 0, 4, 0, 0, 0, 4, 4, 0, 3, 1, 0, 3, 3, 4, 2, 2, 4, 3, 4, 1, 3, 1, 1, 0, 0, 2, 0, 3, 1, 3, 4, 3, 0, 2, 2, 4, 4, 2, 3, 3, 2, 2, 4, 4, 1, 1, 1, 3, 1, 3, 4, 2, 0, 1, 3, 1, 3, 3, 2, 1, 1, 2, 1, 4, 2, 4, 1, 0, 2, 3, 2, 3, 2, 3, 2, 0, 4, 2, 0, 0, 2, 0, 3, 0, 2, 3, 1, 3, 1, 3, 0, 0, 3, 4, 2, 4, 2, 2, 3, 1, 2, 0, 2, 0, 4, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 3, 1, 0, 1, 2, 2, 2, 0, 1, 0, 3, 2, 2, 4, 0, 1, 4, 2, 0, 3, 3, 2, 3, 1, 4, 4, 1, 3, 1, 3, 4, 2, 2, 4] pubkeycol1035 = [2, 3, 2, 2, 3, 1, 2, 1, 0, 2, 2, 1, 3, 2, 0, 1, 2, 3, 2, 3, 3, 1, 2, 0, 4, 2, 2, 0, 3, 4, 2, 1, 1, 2, 0, 1, 1, 4, 3, 2, 1, 2, 4, 0, 0, 2, 2, 4, 1, 2, 0, 4, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 3, 2, 3, 1, 0, 2, 0, 4, 4, 0, 2, 3, 4, 1, 2, 0, 3, 1, 3, 3, 3, 2, 0, 3, 1, 0, 1, 2, 3, 1, 1, 0, 0, 0, 3, 2, 2, 1, 0, 4, 4, 3, 2, 3, 0, 4, 3, 2, 3, 2, 3, 4, 4, 4, 0, 2, 2, 3, 4, 4, 3, 2, 4, 0, 2, 3, 0, 4, 3, 2, 2, 0, 1, 0, 3, 4, 0, 2, 0, 1, 1, 2, 2, 2, 4, 0, 1, 3, 0, 2, 1, 4, 2, 2, 4, 3, 2, 2, 4, 0, 1, 0, 2, 4, 4, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 3, 3, 0, 0, 4, 0, 2, 1, 0, 3, 2, 1, 4, 3, 3, 3, 1, 1, 0, 3, 2, 3, 2, 3, 2, 4, 2, 3, 2, 2, 3, 4, 4, 3, 1, 4, 4, 3, 2, 2, 0, 0, 0, 1, 2, 3, 3, 2, 2, 3, 1, 4, 3, 3, 0, 2, 3, 2, 1, 1, 3, 0, 2, 1, 0, 1, 1, 3, 3, 1, 1, 0, 3, 2, 3, 3, 3, 1, 2, 3, 1, 2, 1, 0, 1, 4, 1, 2, 0, 0, 4, 3, 3, 2, 1, 3, 4, 4, 1, 4, 1, 3, 2, 1, 1, 1, 3, 4, 2, 2, 1, 4, 3, 3, 4, 1, 2, 0, 1, 4, 2, 2, 0, 4, 3, 4, 0, 0, 1, 1, 1, 1, 3, 3, 3, 4, 1, 0, 3, 2, 3, 3, 4, 3, 3, 4, 3, 0, 0, 3, 3, 2, 3, 0, 3, 3, 4, 0, 0, 0, 3, 1, 4, 0, 3, 4, 0, 0, 2, 0, 2, 3, 2, 0, 2, 2, 3, 4, 2, 2, 4, 0, 0, 0, 4, 4, 3, 2, 2, 4, 4, 4, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 0, 3, 0, 3, 4, 0, 3, 3, 2, 4, 2, 4, 0, 3, 0, 2, 1, 2, 1, 0, 4, 3, 2, 0, 2, 2, 1, 3, 1, 3, 3, 3, 3, 2, 0, 4, 1, 0, 0, 0, 3, 2, 0, 0, 0, 4, 1, 3, 4, 4, 3, 4, 0, 1, 4, 1, 3, 3, 1, 0, 3, 2, 1, 1, 1, 2, 1, 0, 0, 1, 3, 3, 3, 0, 4, 3, 3, 3, 3, 4, 4, 2, 2, 3, 4, 3, 1, 0, 1, 2, 1, 0, 1, 0, 3, 2, 0, 4, 0, 0] pubkeycol1036 = [1, 0, 4, 4, 1, 1, 4, 2, 1, 4, 2, 4, 3, 3, 0, 0, 4, 4, 3, 0, 3, 1, 3, 1, 4, 2, 3, 4, 2, 1, 3, 1, 4, 0, 3, 3, 4, 3, 4, 3, 3, 1, 4, 1, 1, 0, 2, 2, 3, 0, 4, 0, 4, 0, 4, 1, 1, 1, 2, 0, 0, 2, 3, 3, 0, 4, 0, 0, 0, 3, 4, 0, 3, 2, 1, 1, 0, 4, 0, 1, 0, 4, 0, 1, 1, 4, 4, 3, 1, 4, 2, 2, 3, 2, 2, 3, 3, 0, 0, 1, 3, 0, 2, 1, 4, 4, 0, 3, 3, 1, 4, 3, 2, 4, 1, 1, 3, 0, 1, 1, 3, 2, 2, 0, 0, 4, 0, 3, 4, 0, 2, 0, 0, 4, 4, 2, 1, 3, 3, 3, 1, 4, 1, 2, 1, 2, 4, 4, 2, 3, 0, 3, 0, 0, 1, 0, 4, 1, 0, 3, 1, 2, 1, 2, 0, 0, 4, 1, 1, 0, 3, 2, 1, 0, 4, 1, 0, 1, 1, 4, 0, 2, 2, 1, 0, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 3, 2, 1, 2, 0, 0, 2, 3, 2, 2, 1, 0, 2, 4, 1, 1, 3, 2, 4, 0, 3, 4, 0, 1, 1, 4, 2, 2, 1, 2, 0, 4, 0, 0, 1, 4, 3, 1, 2, 1, 0, 2, 3, 2, 1, 0, 4, 3, 1, 3, 4, 0, 4, 3, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 3, 4, 4, 3, 1, 4, 3, 3, 3, 3, 0, 2, 1, 4, 2, 3, 2, 3, 3, 0, 0, 2, 4, 0, 4, 4, 0, 0, 2, 0, 2, 0, 3, 0, 2, 4, 0, 4, 0, 2, 3, 1, 4, 0, 0, 3, 1, 1, 1, 1, 4, 0, 2, 1, 3, 2, 3, 3, 3, 0, 0, 4, 2, 4, 0, 0, 1, 1, 4, 2, 2, 3, 4, 4, 1, 4, 1, 1, 0, 2, 0, 2, 0, 3, 1, 1, 2, 2, 2, 0, 2, 1, 0, 3, 4, 2, 0, 4, 1, 2, 0, 2, 2, 1, 2, 4, 1, 1, 0, 1, 1, 2, 4, 3, 2, 2, 1, 3, 0, 0, 3, 2, 4, 3, 3, 3, 3, 3, 0, 4, 0, 2, 0, 2, 4, 0, 3, 2, 0, 4, 4, 2, 2, 0, 3, 3, 0, 0, 2, 3, 3, 3, 4, 4, 4, 1, 1, 2, 1, 4, 3, 4, 3, 4, 4, 4, 1, 0, 0, 2, 4, 3, 2, 0, 2, 1, 0, 0, 4, 3, 3, 3, 4, 2, 2, 2, 0, 3, 0, 2, 1, 3, 3, 1, 4, 2, 1, 2, 2, 3, 3, 1, 3, 2, 4, 1, 4, 4, 1, 3, 1, 1, 2, 0, 2, 1, 0, 2, 4] pubkeycol1037 = [4, 2, 3, 3, 0, 3, 2, 1, 1, 2, 4, 2, 0, 0, 3, 1, 3, 4, 2, 1, 1, 2, 4, 1, 3, 1, 2, 2, 0, 4, 2, 1, 1, 1, 0, 2, 0, 1, 4, 0, 0, 1, 2, 1, 0, 4, 4, 2, 2, 2, 4, 4, 1, 1, 3, 1, 1, 2, 1, 3, 4, 0, 1, 2, 2, 2, 3, 1, 2, 2, 1, 1, 4, 3, 3, 0, 0, 1, 0, 0, 2, 3, 2, 1, 4, 3, 0, 3, 0, 1, 0, 0, 4, 1, 2, 3, 3, 1, 1, 2, 1, 0, 4, 1, 2, 3, 3, 1, 4, 1, 2, 4, 1, 3, 0, 4, 0, 3, 0, 1, 1, 2, 3, 1, 4, 2, 0, 1, 1, 1, 1, 3, 4, 1, 3, 0, 0, 4, 4, 3, 1, 0, 3, 4, 3, 0, 0, 1, 0, 2, 3, 1, 4, 2, 1, 2, 2, 4, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 4, 4, 3, 4, 3, 0, 4, 2, 4, 1, 4, 3, 3, 3, 2, 0, 0, 2, 0, 3, 2, 4, 2, 1, 1, 2, 0, 4, 4, 4, 0, 0, 0, 1, 1, 3, 0, 2, 0, 0, 1, 2, 3, 1, 4, 0, 1, 3, 0, 4, 4, 3, 0, 0, 2, 2, 2, 4, 4, 0, 3, 2, 0, 4, 1, 0, 3, 4, 0, 1, 3, 4, 3, 1, 0, 3, 0, 4, 2, 1, 2, 4, 1, 2, 2, 3, 4, 1, 2, 4, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 2, 3, 3, 1, 0, 3, 4, 1, 2, 1, 0, 3, 3, 1, 0, 1, 4, 4, 1, 1, 2, 4, 3, 2, 0, 3, 3, 1, 2, 2, 3, 2, 1, 0, 2, 0, 0, 3, 1, 0, 2, 0, 3, 1, 1, 2, 3, 1, 2, 0, 2, 2, 3, 3, 2, 2, 3, 0, 0, 1, 4, 1, 3, 1, 0, 3, 2, 3, 4, 4, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 3, 3, 2, 4, 3, 3, 4, 2, 4, 0, 1, 1, 0, 0, 3, 3, 2, 2, 3, 2, 4, 2, 4, 3, 0, 4, 4, 1, 0, 2, 3, 2, 1, 2, 0, 1, 2, 1, 4, 3, 4, 1, 2, 1, 1, 0, 2, 1, 3, 2, 4, 1, 4, 2, 3, 2, 2, 0, 0, 2, 1, 4, 0, 4, 3, 3, 2, 3, 0, 0, 0, 1, 3, 1, 0, 1, 4, 2, 4, 0, 0, 3, 1, 0, 2, 1, 1, 2, 0, 1, 2, 3, 4, 4, 0, 4, 2, 2, 0, 3, 1, 4, 2, 3, 4, 2, 4, 2, 4, 1, 3, 0, 4, 0, 2, 3, 1, 4, 0, 4, 2, 0, 2, 2, 2, 3, 4, 4, 4, 0, 2] pubkeycol1038 = [2, 0, 1, 0, 1, 1, 3, 4, 4, 4, 0, 1, 4, 4, 2, 3, 3, 3, 1, 0, 3, 2, 1, 2, 3, 0, 2, 1, 1, 1, 2, 1, 2, 4, 3, 4, 0, 1, 3, 2, 3, 0, 0, 0, 4, 1, 1, 3, 3, 1, 0, 3, 2, 4, 4, 2, 2, 3, 2, 2, 1, 2, 1, 2, 0, 0, 1, 3, 0, 2, 1, 4, 0, 1, 0, 0, 2, 1, 4, 1, 2, 4, 0, 2, 2, 3, 0, 3, 4, 1, 3, 0, 0, 3, 4, 0, 4, 0, 3, 2, 1, 1, 2, 2, 2, 3, 4, 0, 0, 3, 1, 1, 3, 3, 2, 4, 2, 3, 3, 3, 1, 3, 0, 4, 3, 3, 2, 4, 3, 1, 4, 2, 2, 4, 1, 1, 3, 1, 1, 2, 2, 4, 2, 4, 3, 3, 2, 1, 3, 0, 3, 3, 4, 2, 2, 4, 1, 1, 3, 0, 0, 4, 1, 3, 1, 1, 3, 2, 4, 3, 0, 4, 0, 3, 1, 3, 1, 2, 2, 4, 3, 2, 2, 2, 0, 1, 0, 1, 1, 0, 4, 2, 1, 1, 3, 1, 4, 4, 4, 4, 1, 0, 1, 2, 3, 2, 4, 3, 0, 1, 1, 1, 3, 2, 2, 4, 2, 2, 0, 4, 4, 1, 2, 3, 1, 1, 2, 0, 4, 2, 2, 3, 4, 3, 4, 4, 2, 3, 0, 3, 2, 2, 1, 0, 1, 2, 0, 2, 0, 3, 4, 1, 2, 1, 3, 1, 3, 0, 3, 4, 2, 1, 0, 1, 4, 2, 0, 3, 4, 3, 1, 4, 0, 2, 3, 4, 1, 1, 1, 2, 1, 2, 0, 1, 1, 4, 0, 4, 3, 2, 3, 0, 4, 2, 0, 1, 4, 4, 3, 3, 3, 4, 1, 1, 1, 4, 1, 1, 4, 2, 2, 2, 4, 3, 2, 2, 1, 0, 1, 4, 4, 1, 3, 3, 4, 4, 1, 1, 0, 0, 2, 2, 0, 2, 4, 3, 1, 1, 0, 4, 3, 2, 1, 1, 3, 1, 2, 2, 3, 3, 2, 1, 1, 0, 3, 1, 1, 4, 3, 0, 2, 3, 0, 0, 3, 1, 0, 3, 4, 2, 4, 0, 0, 3, 1, 3, 4, 2, 2, 4, 1, 4, 4, 0, 0, 0, 0, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 4, 0, 1, 4, 3, 1, 1, 4, 1, 1, 1, 2, 4, 2, 4, 4, 4, 2, 2, 2, 2, 1, 0, 1, 1, 4, 1, 2, 1, 1, 1, 0, 4, 4, 1, 1, 3, 1, 0, 3, 0, 0, 2, 3, 2, 1, 4, 0, 3, 1, 3, 1, 3, 2, 0, 1, 1, 0, 2, 1, 2, 0, 3, 4, 3, 1, 0, 2, 4, 1, 0, 4, 2, 2, 4, 4, 0, 1, 3, 3, 3, 3, 3] pubkeycol1039 = [3, 0, 0, 1, 2, 1, 4, 4, 2, 0, 3, 0, 0, 4, 3, 2, 2, 4, 2, 3, 4, 4, 0, 4, 0, 3, 4, 0, 4, 1, 0, 4, 4, 1, 0, 3, 2, 2, 0, 2, 0, 0, 1, 0, 0, 4, 1, 1, 4, 4, 1, 3, 0, 3, 3, 3, 2, 1, 4, 0, 4, 2, 1, 2, 0, 3, 0, 4, 0, 3, 1, 0, 1, 2, 3, 1, 4, 2, 1, 2, 1, 0, 4, 1, 4, 2, 4, 4, 2, 4, 3, 2, 3, 3, 2, 4, 0, 0, 3, 2, 3, 2, 4, 3, 0, 4, 2, 0, 4, 1, 3, 3, 3, 1, 0, 0, 3, 2, 0, 2, 2, 3, 3, 1, 3, 2, 4, 3, 4, 2, 0, 2, 1, 0, 1, 4, 4, 2, 3, 3, 0, 3, 0, 1, 3, 1, 4, 2, 4, 3, 4, 3, 2, 3, 4, 2, 0, 3, 4, 0, 2, 4, 1, 2, 0, 4, 3, 1, 0, 2, 1, 1, 3, 0, 0, 0, 2, 2, 0, 0, 4, 2, 2, 3, 2, 0, 0, 1, 0, 4, 2, 3, 0, 0, 2, 2, 0, 0, 2, 1, 2, 4, 3, 2, 1, 0, 2, 0, 3, 0, 0, 1, 3, 3, 0, 3, 3, 4, 4, 2, 1, 2, 4, 4, 1, 0, 3, 4, 1, 2, 4, 1, 4, 2, 1, 3, 3, 2, 4, 3, 0, 3, 1, 0, 3, 0, 0, 0, 3, 3, 0, 2, 4, 4, 4, 4, 2, 1, 2, 3, 0, 3, 3, 1, 3, 1, 2, 2, 1, 0, 4, 3, 4, 4, 0, 1, 4, 2, 0, 0, 1, 4, 1, 3, 4, 3, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 3, 1, 2, 4, 4, 3, 2, 0, 3, 3, 0, 4, 1, 1, 0, 1, 3, 4, 3, 4, 1, 4, 2, 0, 3, 3, 0, 3, 2, 4, 4, 4, 1, 0, 3, 4, 1, 1, 0, 2, 1, 3, 2, 3, 0, 3, 3, 0, 3, 1, 4, 3, 0, 3, 4, 3, 0, 0, 0, 1, 0, 1, 3, 3, 4, 2, 3, 0, 0, 4, 0, 2, 4, 2, 2, 2, 2, 4, 1, 0, 1, 2, 3, 0, 0, 3, 1, 1, 2, 1, 4, 0, 2, 1, 2, 2, 2, 0, 2, 3, 0, 4, 2, 3, 0, 0, 4, 1, 2, 2, 3, 1, 4, 0, 0, 2, 2, 4, 1, 1, 2, 3, 1, 4, 2, 0, 0, 3, 0, 1, 3, 2, 3, 0, 3, 4, 1, 4, 1, 0, 1, 4, 2, 1, 2, 0, 2, 1, 1, 0, 3, 1, 3, 4, 4, 2, 4, 4, 3, 2, 0, 2, 1, 2, 1, 4, 3, 4, 0, 0, 1, 1, 2, 3, 2, 0, 0, 4, 4, 4, 1, 4, 3, 1] pubkeycol1040 = [2, 4, 4, 3, 2, 1, 0, 3, 0, 4, 3, 2, 2, 3, 1, 1, 0, 3, 1, 4, 4, 4, 3, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 4, 2, 0, 3, 0, 1, 0, 2, 1, 4, 0, 1, 1, 3, 0, 1, 1, 4, 3, 2, 0, 1, 4, 3, 4, 2, 0, 3, 2, 3, 3, 1, 4, 1, 0, 4, 1, 0, 4, 1, 4, 3, 3, 1, 0, 2, 3, 4, 3, 3, 4, 1, 2, 2, 2, 3, 3, 3, 1, 1, 3, 3, 1, 0, 4, 0, 4, 4, 4, 4, 1, 1, 3, 3, 2, 0, 2, 1, 3, 2, 4, 0, 4, 3, 4, 2, 0, 4, 4, 2, 1, 4, 4, 2, 2, 4, 3, 1, 1, 2, 0, 0, 4, 1, 3, 3, 3, 3, 4, 0, 1, 4, 0, 1, 2, 3, 4, 3, 1, 1, 4, 4, 3, 2, 0, 1, 2, 3, 4, 1, 2, 1, 0, 4, 4, 1, 4, 3, 4, 3, 1, 4, 2, 0, 0, 2, 4, 3, 0, 0, 2, 4, 2, 3, 0, 1, 1, 3, 2, 4, 0, 3, 0, 2, 3, 2, 3, 0, 2, 1, 3, 4, 0, 3, 0, 3, 2, 2, 4, 2, 4, 1, 0, 0, 0, 3, 0, 3, 3, 3, 0, 2, 0, 3, 2, 4, 4, 3, 2, 4, 0, 0, 0, 0, 2, 4, 0, 0, 0, 3, 0, 1, 1, 0, 4, 3, 4, 4, 4, 3, 4, 4, 2, 1, 0, 3, 0, 1, 1, 2, 4, 2, 0, 2, 0, 3, 4, 3, 1, 0, 0, 4, 2, 3, 3, 2, 0, 1, 0, 2, 2, 4, 1, 3, 0, 3, 1, 1, 3, 1, 2, 0, 0, 1, 2, 3, 0, 1, 0, 1, 0, 0, 3, 0, 4, 3, 2, 1, 3, 3, 1, 3, 1, 2, 2, 2, 3, 3, 4, 1, 0, 3, 1, 2, 2, 2, 3, 1, 1, 1, 3, 4, 1, 0, 4, 4, 4, 1, 3, 3, 3, 3, 2, 0, 0, 1, 4, 3, 0, 4, 2, 2, 2, 2, 1, 4, 3, 2, 2, 4, 0, 0, 4, 4, 4, 1, 4, 4, 2, 3, 2, 0, 1, 2, 0, 1, 1, 2, 1, 4, 3, 4, 1, 1, 4, 4, 1, 1, 0, 2, 1, 3, 2, 3, 4, 1, 2, 4, 2, 0, 2, 4, 4, 0, 2, 4, 0, 0, 3, 1, 1, 0, 0, 4, 1, 0, 3, 0, 0, 4, 1, 0, 2, 1, 2, 2, 0, 1, 3, 4, 2, 2, 4, 0, 4, 0, 1, 1, 1, 4, 3, 0, 1, 3, 2, 1, 4, 3, 4, 4, 1, 0, 2, 4, 0, 4, 4, 1, 0, 3, 2, 4, 2, 4, 4, 3, 1, 0, 1, 4, 3, 1, 4, 3, 2, 4, 3] pubkeycol1041 = [2, 1, 1, 2, 0, 1, 0, 2, 4, 3, 1, 1, 0, 0, 0, 4, 3, 3, 0, 1, 3, 2, 1, 1, 0, 0, 1, 1, 0, 3, 3, 1, 4, 0, 4, 0, 3, 3, 2, 1, 0, 2, 3, 2, 2, 0, 0, 3, 4, 2, 0, 3, 1, 2, 1, 4, 4, 1, 1, 0, 2, 0, 4, 0, 3, 4, 3, 2, 1, 1, 2, 0, 1, 2, 3, 0, 2, 3, 2, 3, 1, 4, 2, 4, 4, 4, 0, 4, 1, 1, 4, 2, 1, 1, 0, 2, 2, 3, 0, 1, 4, 3, 4, 1, 1, 0, 3, 4, 2, 1, 2, 0, 0, 0, 1, 3, 0, 3, 0, 2, 4, 3, 1, 1, 0, 1, 4, 2, 3, 1, 0, 1, 0, 4, 4, 2, 4, 1, 4, 3, 0, 0, 0, 4, 0, 0, 4, 3, 2, 4, 2, 3, 2, 0, 2, 0, 4, 1, 0, 2, 0, 0, 1, 2, 3, 4, 1, 2, 2, 4, 0, 4, 3, 2, 0, 4, 3, 1, 1, 2, 3, 1, 1, 3, 3, 0, 2, 0, 2, 4, 3, 1, 4, 4, 1, 2, 4, 0, 3, 0, 0, 4, 4, 4, 0, 3, 2, 3, 3, 2, 4, 0, 0, 1, 3, 3, 3, 2, 2, 4, 4, 1, 4, 1, 2, 3, 3, 4, 1, 2, 0, 3, 1, 0, 2, 1, 3, 0, 1, 4, 0, 3, 1, 4, 4, 1, 2, 0, 1, 4, 3, 4, 3, 4, 4, 3, 1, 1, 2, 4, 3, 1, 0, 3, 2, 4, 3, 0, 2, 3, 0, 4, 1, 4, 0, 2, 3, 3, 0, 4, 2, 0, 2, 4, 1, 2, 0, 0, 1, 4, 3, 2, 1, 3, 2, 2, 3, 2, 1, 4, 1, 2, 0, 1, 3, 2, 3, 2, 4, 2, 1, 3, 0, 4, 4, 4, 3, 0, 2, 0, 4, 1, 1, 1, 4, 2, 1, 3, 1, 1, 1, 2, 1, 2, 2, 4, 2, 2, 4, 1, 4, 3, 0, 2, 3, 2, 3, 0, 3, 4, 4, 3, 1, 1, 0, 2, 4, 4, 2, 4, 3, 2, 2, 4, 4, 3, 2, 2, 4, 0, 1, 0, 2, 1, 3, 4, 2, 3, 1, 3, 0, 4, 3, 2, 3, 1, 0, 0, 1, 1, 4, 0, 2, 1, 2, 3, 3, 3, 0, 0, 1, 0, 4, 1, 2, 2, 2, 3, 1, 1, 2, 3, 4, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 4, 4, 3, 2, 1, 3, 4, 1, 3, 3, 3, 3, 4, 3, 1, 3, 2, 2, 0, 0, 3, 4, 4, 2, 4, 2, 2, 0, 1, 0, 0, 4, 1, 2, 4, 3, 0, 1, 2, 3, 3, 4, 0, 0, 2, 1, 2, 2, 2, 1, 2, 4, 3, 2, 0, 1, 0] pubkeycol1042 = [3, 2, 4, 4, 3, 4, 3, 2, 3, 0, 1, 4, 2, 3, 3, 1, 4, 3, 0, 3, 2, 1, 2, 3, 0, 1, 1, 0, 4, 1, 3, 4, 2, 4, 0, 0, 0, 0, 3, 1, 2, 2, 3, 3, 2, 1, 2, 0, 3, 2, 3, 3, 4, 0, 3, 2, 0, 0, 1, 0, 3, 0, 2, 3, 0, 1, 0, 2, 0, 3, 3, 0, 0, 2, 3, 4, 4, 2, 4, 2, 4, 2, 3, 1, 0, 0, 4, 4, 1, 3, 0, 3, 3, 4, 0, 4, 3, 3, 0, 2, 0, 0, 1, 3, 0, 4, 2, 0, 2, 3, 1, 0, 2, 0, 2, 4, 1, 4, 4, 2, 3, 3, 3, 0, 3, 1, 4, 1, 1, 4, 4, 0, 1, 4, 4, 4, 3, 2, 4, 1, 0, 4, 4, 1, 4, 4, 2, 3, 2, 2, 4, 4, 2, 4, 4, 1, 2, 2, 4, 0, 2, 2, 2, 0, 3, 3, 3, 1, 1, 0, 0, 4, 2, 2, 4, 1, 3, 2, 2, 0, 3, 0, 2, 2, 1, 3, 0, 3, 0, 4, 4, 0, 2, 0, 4, 0, 2, 2, 3, 2, 0, 1, 1, 1, 2, 2, 0, 1, 3, 2, 2, 1, 3, 4, 1, 2, 0, 2, 3, 3, 4, 4, 3, 4, 2, 0, 2, 0, 3, 1, 0, 0, 2, 3, 4, 0, 2, 2, 1, 4, 2, 2, 1, 3, 3, 3, 2, 3, 0, 3, 2, 0, 3, 4, 3, 4, 0, 2, 0, 3, 0, 0, 0, 1, 1, 4, 2, 1, 2, 3, 2, 4, 0, 1, 2, 1, 2, 4, 2, 1, 3, 3, 3, 1, 0, 4, 0, 0, 0, 1, 3, 4, 0, 0, 2, 0, 3, 3, 3, 0, 0, 2, 2, 0, 4, 0, 3, 1, 0, 4, 0, 1, 4, 3, 3, 0, 2, 2, 3, 3, 3, 0, 3, 2, 3, 3, 2, 3, 1, 4, 1, 0, 0, 2, 4, 4, 3, 4, 1, 3, 3, 2, 2, 4, 2, 1, 0, 4, 4, 3, 3, 2, 3, 2, 4, 3, 1, 0, 4, 1, 0, 3, 3, 4, 2, 4, 3, 2, 4, 2, 3, 3, 3, 3, 2, 1, 1, 0, 1, 1, 4, 2, 3, 1, 4, 4, 2, 2, 1, 2, 2, 0, 0, 2, 1, 4, 2, 0, 0, 3, 3, 3, 2, 4, 3, 1, 2, 3, 2, 0, 3, 4, 4, 4, 2, 2, 1, 3, 4, 1, 3, 3, 1, 1, 1, 1, 0, 3, 0, 2, 1, 4, 1, 4, 3, 4, 0, 3, 2, 0, 2, 2, 3, 0, 1, 4, 1, 0, 1, 0, 1, 1, 2, 2, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 3, 0, 3, 2, 2, 2, 4, 2, 4, 2, 2, 4, 1, 1, 2, 0] pubkeycol1043 = [1, 4, 4, 4, 2, 3, 2, 4, 2, 3, 0, 1, 0, 4, 0, 4, 0, 1, 1, 2, 4, 1, 0, 2, 3, 2, 0, 4, 0, 4, 1, 3, 4, 0, 1, 1, 3, 0, 3, 4, 4, 2, 2, 1, 0, 2, 1, 4, 2, 2, 2, 0, 2, 4, 0, 1, 4, 1, 3, 0, 2, 3, 0, 1, 1, 4, 2, 3, 1, 4, 2, 4, 1, 3, 0, 3, 0, 0, 2, 3, 3, 0, 0, 3, 0, 2, 3, 2, 2, 2, 4, 2, 0, 3, 4, 0, 2, 0, 1, 2, 0, 4, 4, 1, 0, 4, 4, 0, 0, 2, 2, 2, 3, 1, 0, 2, 4, 1, 3, 1, 2, 2, 2, 3, 1, 1, 3, 4, 3, 0, 0, 1, 4, 1, 2, 2, 3, 3, 3, 0, 3, 3, 0, 0, 0, 4, 1, 1, 3, 0, 3, 4, 0, 4, 2, 3, 1, 0, 1, 2, 1, 3, 2, 0, 3, 2, 0, 1, 4, 4, 0, 1, 0, 1, 3, 3, 4, 1, 4, 0, 4, 2, 2, 0, 2, 0, 2, 1, 1, 3, 2, 0, 3, 1, 2, 4, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 4, 2, 3, 0, 2, 3, 1, 2, 1, 3, 3, 3, 0, 4, 0, 3, 2, 2, 4, 1, 4, 3, 4, 0, 3, 0, 4, 0, 2, 1, 0, 2, 3, 0, 1, 1, 3, 4, 4, 0, 4, 0, 4, 4, 2, 2, 3, 0, 4, 4, 1, 3, 2, 3, 0, 1, 3, 1, 3, 3, 3, 0, 0, 4, 4, 3, 3, 2, 0, 2, 4, 3, 3, 4, 1, 3, 1, 0, 1, 0, 2, 1, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 0, 0, 2, 2, 2, 4, 3, 1, 4, 0, 1, 2, 3, 3, 4, 4, 2, 3, 0, 3, 3, 4, 2, 2, 3, 1, 3, 4, 0, 2, 2, 1, 0, 1, 4, 1, 3, 3, 4, 1, 0, 3, 3, 4, 2, 4, 2, 1, 3, 0, 4, 0, 1, 4, 3, 3, 4, 3, 4, 1, 3, 1, 1, 0, 0, 3, 0, 2, 4, 4, 2, 2, 1, 0, 1, 4, 4, 3, 3, 0, 3, 3, 3, 2, 2, 4, 0, 3, 2, 2, 1, 0, 3, 2, 2, 1, 2, 0, 3, 4, 0, 3, 4, 0, 1, 2, 2, 3, 4, 1, 3, 4, 0, 3, 3, 1, 0, 4, 2, 2, 1, 1, 0, 2, 2, 4, 1, 3, 3, 3, 3, 2, 3, 2, 0, 3, 1, 3, 4, 1, 2, 1, 2, 4, 1, 0, 3, 0, 2, 3, 1, 0, 0, 2, 4, 2, 2, 2, 2, 2, 1, 0, 4, 2, 0, 3, 4, 3, 1, 0, 4, 0, 2, 0] pubkeycol1044 = [1, 2, 3, 2, 4, 3, 4, 3, 1, 0, 3, 2, 2, 3, 2, 1, 2, 4, 3, 2, 0, 3, 1, 3, 3, 4, 2, 1, 1, 3, 2, 3, 3, 0, 3, 1, 1, 0, 3, 4, 2, 4, 4, 0, 1, 2, 4, 0, 0, 1, 1, 3, 4, 1, 1, 2, 1, 1, 2, 4, 3, 0, 3, 2, 2, 1, 0, 1, 0, 4, 0, 1, 3, 4, 2, 4, 1, 3, 1, 4, 4, 2, 2, 3, 3, 4, 4, 1, 0, 3, 0, 3, 3, 1, 2, 1, 2, 1, 4, 3, 3, 2, 3, 3, 1, 2, 1, 0, 3, 4, 3, 3, 1, 1, 1, 3, 3, 0, 3, 2, 3, 3, 1, 4, 4, 3, 3, 3, 2, 0, 4, 2, 2, 3, 1, 0, 0, 3, 2, 0, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 0, 4, 4, 3, 4, 3, 4, 4, 1, 0, 0, 1, 4, 3, 2, 3, 3, 3, 2, 0, 2, 2, 2, 3, 2, 0, 2, 3, 2, 0, 4, 4, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 4, 3, 3, 4, 1, 1, 1, 1, 4, 3, 3, 3, 3, 1, 0, 0, 1, 4, 1, 0, 2, 0, 1, 4, 2, 0, 0, 3, 2, 2, 0, 4, 4, 1, 3, 4, 4, 0, 4, 4, 0, 2, 1, 4, 1, 1, 1, 2, 3, 0, 0, 0, 3, 4, 0, 4, 4, 2, 2, 2, 3, 4, 4, 1, 0, 3, 1, 3, 3, 2, 4, 1, 1, 1, 0, 0, 1, 4, 0, 0, 2, 4, 4, 0, 1, 1, 2, 0, 3, 2, 4, 4, 4, 1, 4, 0, 3, 0, 0, 2, 4, 3, 2, 4, 0, 2, 1, 0, 3, 4, 0, 0, 0, 1, 0, 3, 3, 3, 0, 3, 3, 1, 2, 1, 0, 4, 3, 4, 3, 4, 0, 1, 3, 3, 0, 0, 2, 3, 0, 0, 2, 4, 3, 0, 3, 3, 0, 2, 1, 3, 2, 1, 0, 3, 0, 1, 3, 4, 0, 0, 2, 4, 0, 4, 0, 2, 4, 1, 2, 1, 4, 0, 4, 4, 1, 3, 4, 3, 1, 3, 3, 2, 3, 0, 0, 3, 0, 4, 4, 2, 3, 1, 4, 2, 1, 2, 0, 2, 2, 3, 3, 1, 2, 4, 1, 1, 1, 2, 2, 4, 1, 0, 2, 0, 2, 2, 1, 4, 1, 0, 4, 4, 3, 0, 4, 1, 3, 1, 2, 0, 3, 1, 3, 4, 3, 1, 0, 3, 3, 0, 0, 1, 3, 4, 3, 0, 0, 4, 1, 4, 2, 2, 0, 2, 0, 0, 1, 2, 3, 2, 1, 0, 0, 3, 2, 4, 0, 2, 3, 4, 3, 1, 1, 1, 2, 4, 0, 4, 2, 4, 3, 0, 3, 1, 0, 0, 1, 0] pubkeycol1045 = [1, 3, 2, 3, 4, 3, 0, 3, 3, 0, 4, 4, 4, 1, 2, 0, 0, 4, 1, 1, 0, 0, 1, 4, 1, 2, 2, 0, 2, 4, 1, 3, 1, 3, 3, 0, 2, 4, 1, 2, 0, 1, 4, 1, 3, 4, 2, 3, 4, 0, 1, 3, 4, 0, 4, 3, 4, 0, 2, 4, 0, 0, 1, 3, 4, 4, 0, 2, 4, 3, 1, 1, 3, 2, 1, 3, 3, 3, 2, 3, 0, 1, 3, 2, 1, 0, 2, 1, 0, 1, 2, 3, 3, 4, 2, 2, 3, 0, 3, 2, 3, 3, 2, 0, 4, 0, 0, 3, 0, 4, 3, 2, 2, 1, 0, 0, 1, 4, 2, 4, 0, 2, 4, 4, 3, 0, 3, 1, 1, 1, 0, 0, 3, 0, 2, 3, 0, 2, 2, 2, 4, 4, 2, 2, 1, 4, 2, 3, 3, 4, 4, 4, 3, 0, 3, 0, 4, 2, 2, 3, 1, 2, 0, 0, 1, 4, 2, 2, 1, 3, 4, 4, 3, 2, 3, 3, 3, 3, 4, 4, 4, 1, 2, 1, 4, 4, 0, 2, 1, 3, 2, 4, 4, 1, 3, 1, 1, 2, 0, 4, 0, 2, 1, 4, 0, 3, 0, 3, 0, 0, 2, 2, 4, 0, 2, 2, 1, 3, 2, 1, 4, 2, 3, 4, 4, 1, 2, 0, 4, 0, 2, 1, 2, 4, 3, 1, 4, 0, 2, 0, 0, 4, 3, 2, 0, 4, 3, 3, 2, 2, 1, 2, 4, 2, 0, 3, 0, 1, 4, 4, 0, 4, 1, 3, 1, 2, 2, 2, 2, 0, 3, 2, 1, 3, 0, 0, 1, 0, 3, 2, 0, 4, 2, 3, 1, 4, 0, 1, 1, 3, 1, 3, 3, 3, 3, 2, 4, 2, 0, 1, 0, 3, 2, 3, 4, 4, 3, 1, 4, 1, 3, 2, 1, 3, 2, 3, 0, 0, 3, 1, 0, 3, 2, 1, 4, 0, 2, 0, 4, 1, 3, 1, 1, 1, 4, 3, 0, 2, 3, 0, 2, 2, 0, 1, 4, 0, 2, 4, 4, 1, 4, 3, 2, 2, 3, 3, 4, 0, 1, 3, 4, 1, 4, 0, 0, 3, 3, 0, 3, 2, 2, 2, 1, 3, 0, 0, 4, 4, 0, 0, 4, 2, 3, 3, 3, 4, 1, 2, 1, 4, 1, 2, 3, 2, 1, 4, 1, 1, 4, 4, 3, 1, 1, 3, 0, 0, 4, 2, 1, 3, 4, 0, 4, 1, 2, 3, 0, 4, 3, 0, 1, 0, 1, 2, 4, 2, 4, 0, 0, 3, 1, 2, 0, 0, 2, 2, 4, 4, 4, 1, 1, 3, 1, 0, 2, 0, 0, 3, 2, 0, 1, 3, 1, 0, 1, 1, 0, 0, 0, 0, 3, 4, 1, 3, 0, 3, 1, 4, 3, 4, 1, 4, 2, 2, 0, 1, 2, 2, 1, 4] pubkeycol1046 = [0, 0, 0, 3, 2, 3, 1, 1, 3, 2, 1, 3, 1, 1, 1, 3, 1, 3, 2, 3, 0, 1, 3, 4, 1, 2, 4, 0, 1, 1, 2, 1, 0, 1, 4, 2, 4, 0, 1, 1, 0, 2, 1, 4, 0, 2, 3, 4, 4, 2, 2, 3, 1, 3, 2, 4, 1, 0, 1, 0, 3, 0, 3, 4, 1, 2, 2, 1, 0, 4, 3, 0, 4, 2, 3, 0, 2, 2, 4, 1, 4, 3, 0, 2, 4, 1, 4, 2, 1, 1, 0, 4, 1, 2, 1, 1, 2, 1, 0, 3, 1, 4, 2, 2, 1, 1, 0, 1, 4, 2, 3, 2, 0, 4, 1, 4, 4, 2, 0, 4, 2, 0, 1, 3, 4, 4, 0, 4, 0, 0, 2, 3, 1, 4, 1, 0, 3, 0, 4, 1, 0, 2, 4, 4, 1, 1, 4, 3, 2, 1, 3, 2, 3, 0, 1, 0, 4, 0, 4, 3, 1, 3, 2, 2, 4, 0, 4, 2, 2, 3, 2, 4, 1, 0, 1, 2, 4, 1, 3, 3, 0, 3, 4, 4, 3, 1, 0, 4, 2, 2, 0, 1, 3, 1, 1, 0, 3, 4, 3, 0, 3, 1, 2, 4, 3, 1, 3, 0, 2, 2, 3, 2, 4, 0, 3, 2, 3, 0, 0, 0, 1, 2, 4, 4, 0, 4, 0, 3, 2, 4, 1, 3, 0, 2, 2, 3, 0, 4, 4, 3, 1, 2, 2, 0, 4, 0, 3, 3, 1, 1, 2, 1, 3, 3, 4, 3, 3, 2, 3, 3, 4, 2, 1, 2, 3, 3, 3, 3, 0, 2, 1, 4, 2, 3, 2, 4, 3, 3, 3, 4, 3, 1, 1, 2, 0, 2, 0, 3, 0, 2, 2, 1, 3, 2, 3, 1, 3, 3, 3, 0, 3, 3, 2, 4, 3, 4, 0, 3, 3, 2, 0, 2, 3, 2, 4, 1, 1, 3, 2, 0, 2, 4, 0, 0, 3, 3, 3, 4, 4, 0, 1, 3, 3, 4, 1, 2, 4, 2, 2, 2, 4, 3, 0, 4, 2, 1, 3, 2, 2, 3, 2, 4, 3, 4, 0, 2, 0, 2, 2, 1, 2, 3, 0, 1, 4, 2, 1, 3, 0, 4, 2, 4, 4, 4, 2, 2, 2, 0, 4, 0, 3, 1, 3, 1, 3, 4, 2, 0, 1, 3, 3, 2, 4, 0, 0, 0, 0, 3, 2, 0, 4, 4, 0, 2, 2, 4, 4, 2, 0, 3, 2, 0, 1, 0, 0, 4, 1, 4, 1, 0, 1, 2, 1, 4, 4, 1, 2, 2, 0, 2, 2, 0, 3, 3, 4, 2, 1, 0, 1, 2, 2, 0, 3, 2, 3, 1, 2, 4, 4, 4, 0, 3, 1, 3, 3, 4, 4, 2, 0, 3, 4, 0, 4, 1, 3, 3, 1, 1, 0, 1, 2, 3, 0, 4, 3, 0, 0, 1, 1, 2] pubkeycol1047 = [0, 3, 2, 4, 2, 1, 4, 4, 3, 4, 4, 1, 2, 1, 4, 4, 0, 1, 4, 4, 2, 4, 4, 0, 2, 1, 3, 0, 1, 1, 3, 3, 0, 1, 4, 0, 1, 0, 3, 3, 0, 3, 1, 0, 3, 2, 2, 2, 0, 3, 4, 3, 1, 4, 1, 4, 1, 4, 0, 2, 0, 1, 1, 4, 0, 2, 3, 3, 3, 3, 1, 3, 0, 2, 0, 3, 4, 3, 1, 4, 2, 1, 0, 4, 3, 2, 3, 1, 3, 4, 2, 3, 2, 3, 0, 4, 3, 1, 0, 0, 3, 3, 0, 4, 0, 4, 3, 3, 0, 4, 4, 4, 4, 0, 1, 1, 2, 1, 0, 3, 4, 4, 0, 2, 1, 1, 2, 4, 2, 2, 4, 2, 4, 1, 2, 2, 1, 3, 4, 4, 0, 1, 3, 4, 0, 2, 3, 1, 2, 0, 1, 0, 1, 1, 3, 3, 3, 4, 1, 4, 1, 3, 0, 3, 4, 0, 1, 2, 2, 4, 0, 2, 4, 3, 0, 1, 4, 1, 3, 1, 4, 3, 0, 0, 1, 2, 1, 1, 1, 2, 0, 4, 4, 2, 0, 3, 3, 3, 2, 0, 4, 4, 4, 0, 0, 3, 2, 1, 2, 0, 1, 4, 3, 1, 4, 3, 0, 0, 4, 4, 2, 0, 1, 2, 3, 2, 2, 0, 4, 0, 3, 2, 3, 4, 2, 1, 1, 0, 2, 3, 2, 3, 3, 4, 0, 4, 0, 4, 3, 2, 4, 0, 2, 1, 3, 3, 2, 2, 1, 4, 3, 4, 4, 1, 0, 0, 0, 0, 0, 4, 0, 4, 2, 0, 2, 3, 0, 4, 2, 2, 4, 2, 4, 3, 0, 2, 4, 1, 2, 4, 1, 2, 2, 1, 1, 4, 3, 0, 1, 1, 1, 0, 2, 2, 0, 3, 2, 2, 2, 3, 3, 1, 0, 0, 0, 0, 2, 4, 4, 1, 1, 4, 0, 2, 1, 0, 3, 4, 2, 4, 3, 4, 4, 1, 3, 4, 0, 2, 1, 0, 2, 3, 3, 3, 0, 3, 3, 3, 2, 0, 2, 3, 1, 2, 3, 4, 2, 4, 0, 0, 2, 0, 0, 4, 2, 1, 3, 0, 1, 1, 0, 4, 2, 3, 3, 4, 4, 0, 3, 2, 1, 0, 2, 1, 1, 0, 3, 0, 2, 1, 0, 2, 0, 4, 2, 4, 0, 2, 1, 2, 4, 3, 1, 3, 4, 3, 1, 3, 4, 1, 3, 0, 4, 0, 0, 4, 3, 4, 0, 1, 4, 0, 1, 0, 3, 0, 1, 1, 3, 2, 1, 3, 1, 4, 3, 4, 1, 2, 4, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 4, 0, 2, 2, 1, 4, 3, 0, 0, 1, 0, 4, 2, 4, 2, 0, 2, 3, 4, 1, 2, 4, 0, 3, 3, 3, 2, 4, 0, 2] pubkeycol1048 = [4, 2, 3, 4, 4, 4, 3, 2, 1, 1, 3, 1, 4, 3, 0, 3, 4, 3, 0, 2, 4, 4, 2, 3, 4, 3, 0, 1, 4, 1, 0, 1, 1, 2, 2, 2, 3, 4, 3, 1, 1, 4, 4, 2, 4, 4, 2, 2, 4, 0, 0, 4, 3, 0, 2, 4, 4, 3, 0, 0, 2, 3, 3, 4, 1, 3, 2, 0, 4, 4, 3, 0, 1, 2, 3, 2, 4, 4, 1, 4, 2, 0, 3, 0, 2, 1, 1, 3, 0, 1, 2, 3, 3, 0, 2, 0, 0, 4, 4, 4, 1, 4, 4, 2, 2, 1, 0, 2, 1, 0, 3, 4, 1, 4, 2, 3, 0, 2, 0, 3, 3, 1, 4, 1, 0, 2, 1, 2, 4, 4, 4, 3, 4, 3, 3, 1, 3, 2, 3, 3, 1, 3, 0, 0, 1, 2, 0, 0, 1, 3, 3, 4, 3, 0, 3, 2, 1, 0, 2, 4, 4, 0, 4, 2, 0, 0, 2, 4, 2, 1, 1, 4, 1, 1, 2, 4, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 3, 3, 3, 2, 0, 4, 3, 4, 4, 3, 3, 1, 0, 0, 2, 4, 3, 4, 0, 3, 2, 4, 2, 2, 0, 3, 0, 2, 4, 2, 2, 4, 1, 4, 2, 0, 1, 2, 2, 2, 4, 0, 0, 0, 3, 3, 0, 2, 1, 4, 3, 2, 0, 0, 2, 1, 3, 2, 4, 2, 1, 2, 0, 0, 0, 2, 4, 2, 0, 4, 3, 3, 0, 3, 1, 4, 4, 0, 4, 3, 3, 0, 3, 0, 0, 1, 1, 1, 2, 1, 0, 4, 1, 2, 0, 1, 3, 1, 0, 3, 0, 2, 0, 1, 3, 4, 1, 1, 1, 4, 1, 2, 1, 1, 4, 2, 1, 3, 4, 4, 1, 0, 1, 4, 1, 1, 4, 2, 0, 4, 4, 0, 2, 1, 3, 0, 4, 2, 3, 2, 0, 2, 4, 0, 2, 4, 0, 1, 1, 2, 4, 4, 1, 0, 1, 0, 4, 4, 0, 4, 0, 3, 3, 4, 0, 0, 4, 1, 4, 4, 0, 2, 4, 0, 2, 1, 1, 3, 2, 3, 1, 1, 4, 4, 0, 0, 2, 1, 3, 4, 2, 4, 1, 2, 4, 3, 4, 1, 1, 4, 1, 4, 4, 2, 1, 4, 3, 1, 4, 2, 3, 0, 2, 3, 2, 2, 4, 0, 2, 3, 0, 4, 0, 1, 4, 2, 3, 2, 0, 0, 0, 4, 4, 4, 4, 2, 0, 1, 2, 2, 4, 2, 1, 4, 1, 1, 2, 3, 4, 2, 2, 2, 0, 2, 0, 4, 0, 0, 2, 3, 0, 4, 1, 2, 3, 3, 1, 2, 2, 3, 1, 0, 3, 4, 1, 0, 1, 4, 2, 3, 3, 3, 0, 0, 0, 3, 1, 0, 4, 1, 1, 3] pubkeycol1049 = [2, 2, 4, 1, 0, 0, 1, 0, 0, 1, 4, 3, 2, 3, 4, 4, 3, 1, 1, 4, 1, 3, 3, 0, 3, 3, 1, 0, 1, 2, 1, 4, 4, 0, 1, 1, 2, 4, 2, 3, 3, 0, 4, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 3, 3, 0, 3, 4, 4, 3, 1, 4, 1, 3, 4, 2, 4, 3, 3, 4, 1, 2, 4, 2, 4, 2, 4, 1, 1, 3, 3, 4, 1, 4, 3, 4, 0, 1, 3, 3, 4, 0, 3, 0, 1, 3, 4, 3, 2, 0, 2, 4, 4, 4, 0, 3, 2, 0, 3, 4, 1, 0, 3, 4, 1, 1, 3, 4, 3, 4, 0, 3, 4, 4, 4, 3, 3, 4, 2, 1, 3, 0, 0, 3, 4, 1, 2, 4, 0, 3, 3, 0, 0, 0, 1, 0, 2, 4, 3, 3, 3, 2, 1, 1, 0, 4, 2, 0, 4, 0, 2, 4, 4, 1, 4, 3, 4, 0, 1, 2, 3, 0, 3, 4, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 3, 3, 1, 1, 4, 3, 1, 2, 0, 4, 0, 2, 0, 3, 2, 1, 0, 4, 2, 3, 0, 3, 1, 2, 4, 4, 2, 2, 0, 1, 1, 4, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 4, 4, 4, 2, 1, 4, 4, 3, 1, 4, 2, 2, 2, 4, 4, 2, 2, 3, 3, 1, 1, 1, 2, 4, 4, 3, 1, 2, 0, 1, 4, 3, 3, 4, 3, 4, 0, 3, 3, 0, 3, 0, 3, 4, 0, 1, 4, 0, 2, 0, 3, 3, 2, 4, 1, 4, 3, 2, 0, 1, 2, 4, 4, 0, 3, 2, 1, 3, 1, 1, 3, 4, 4, 1, 1, 0, 4, 2, 0, 0, 0, 3, 3, 0, 4, 1, 1, 2, 4, 3, 1, 4, 4, 1, 2, 2, 2, 4, 3, 1, 1, 2, 4, 4, 0, 2, 4, 2, 0, 2, 1, 1, 0, 4, 4, 3, 1, 0, 3, 0, 3, 2, 1, 3, 0, 1, 1, 4, 4, 1, 4, 3, 2, 4, 1, 2, 1, 4, 3, 2, 1, 2, 1, 1, 2, 3, 3, 1, 4, 0, 2, 3, 0, 1, 2, 2, 1, 3, 3, 4, 2, 4, 1, 2, 2, 3, 1, 3, 4, 1, 1, 2, 0, 1, 1, 4, 3, 1, 2, 2, 4, 1, 0, 2, 4, 0, 2, 3, 0, 2, 2, 4, 3, 1, 2, 4, 4, 1, 0, 0, 3, 2, 2, 4, 4, 4, 0, 2, 3, 1, 1, 1, 2, 2, 3, 4, 3, 4, 3, 3, 4, 4, 3, 1, 0, 4, 3, 3, 3, 2, 2, 0, 4, 2, 3, 0, 0, 4, 4, 4, 4, 3, 4, 1, 1, 2, 2, 0, 3, 2, 4, 0] pubkeycol1050 = [4, 2, 2, 0, 2, 2, 2, 3, 3, 1, 4, 2, 3, 0, 0, 0, 3, 1, 3, 1, 2, 2, 4, 4, 3, 0, 3, 2, 4, 4, 0, 1, 3, 4, 0, 3, 4, 1, 0, 0, 3, 0, 3, 0, 2, 3, 4, 4, 1, 1, 1, 2, 4, 1, 4, 3, 4, 1, 4, 2, 0, 2, 4, 2, 4, 4, 1, 1, 2, 0, 1, 0, 2, 0, 3, 0, 2, 0, 0, 1, 3, 4, 0, 0, 2, 4, 1, 2, 1, 2, 3, 2, 1, 0, 0, 4, 1, 3, 0, 3, 0, 2, 4, 0, 4, 2, 3, 0, 3, 0, 2, 1, 4, 2, 1, 1, 3, 3, 3, 3, 3, 4, 2, 1, 4, 2, 1, 4, 4, 2, 3, 4, 2, 2, 2, 2, 4, 1, 2, 2, 2, 4, 4, 1, 1, 3, 4, 3, 1, 2, 2, 2, 4, 4, 1, 3, 4, 1, 1, 4, 4, 1, 1, 3, 0, 2, 2, 0, 2, 4, 2, 3, 3, 0, 2, 2, 3, 2, 3, 0, 1, 4, 2, 2, 1, 3, 2, 2, 3, 3, 4, 2, 1, 4, 4, 3, 0, 2, 2, 4, 2, 4, 2, 2, 4, 0, 3, 3, 0, 1, 0, 2, 2, 2, 0, 0, 3, 3, 0, 4, 0, 0, 2, 3, 1, 2, 2, 0, 2, 0, 1, 3, 0, 2, 0, 4, 4, 0, 4, 4, 0, 0, 3, 3, 0, 3, 2, 0, 2, 0, 4, 4, 4, 1, 3, 1, 0, 4, 3, 4, 2, 1, 2, 1, 0, 4, 1, 0, 2, 4, 0, 2, 3, 4, 4, 3, 2, 4, 1, 3, 4, 3, 0, 0, 1, 1, 1, 4, 3, 4, 2, 4, 0, 0, 0, 3, 2, 3, 2, 1, 0, 4, 4, 1, 3, 0, 0, 4, 0, 3, 1, 3, 3, 1, 4, 3, 0, 1, 3, 1, 0, 1, 0, 1, 3, 0, 2, 3, 2, 3, 3, 0, 4, 3, 0, 0, 4, 0, 2, 2, 3, 1, 3, 3, 3, 0, 4, 0, 0, 0, 3, 2, 4, 1, 4, 0, 0, 3, 4, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 4, 3, 0, 1, 4, 0, 2, 2, 2, 4, 3, 4, 3, 4, 4, 3, 1, 2, 3, 4, 3, 3, 1, 3, 3, 2, 4, 4, 3, 0, 3, 2, 2, 2, 1, 3, 1, 2, 0, 0, 4, 2, 1, 0, 3, 3, 2, 3, 0, 2, 3, 0, 4, 3, 2, 3, 3, 1, 0, 2, 3, 1, 1, 1, 4, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 4, 1, 0, 0, 0, 2, 4, 2, 4, 0, 1, 3, 0, 1, 0, 1, 0, 0, 0, 1, 4, 0, 2, 4, 0, 1, 2, 1, 2, 2, 2, 1, 3, 1, 1] pubkeycol1051 = [3, 2, 0, 4, 4, 3, 3, 3, 2, 1, 1, 0, 0, 3, 0, 0, 3, 1, 4, 1, 0, 3, 1, 1, 0, 3, 0, 3, 2, 0, 1, 2, 0, 1, 3, 0, 3, 3, 1, 1, 3, 4, 2, 4, 2, 1, 3, 1, 2, 3, 2, 4, 3, 1, 4, 0, 4, 3, 0, 4, 3, 1, 3, 4, 0, 4, 0, 1, 0, 3, 0, 3, 4, 1, 1, 4, 4, 1, 0, 0, 4, 4, 3, 0, 3, 2, 4, 4, 3, 1, 3, 0, 3, 2, 1, 0, 0, 0, 4, 0, 0, 3, 2, 2, 0, 1, 2, 1, 0, 3, 4, 3, 3, 2, 2, 1, 1, 0, 3, 2, 2, 3, 0, 4, 2, 3, 3, 0, 2, 1, 4, 0, 0, 0, 0, 3, 3, 2, 0, 1, 1, 3, 1, 4, 3, 1, 3, 3, 0, 4, 4, 2, 1, 2, 3, 0, 2, 2, 2, 4, 4, 4, 2, 4, 2, 0, 3, 4, 0, 1, 4, 0, 4, 1, 0, 3, 3, 3, 1, 1, 3, 2, 1, 1, 0, 0, 1, 2, 1, 4, 4, 4, 3, 0, 1, 2, 1, 0, 2, 4, 0, 4, 2, 0, 3, 1, 3, 2, 0, 4, 2, 4, 1, 3, 1, 2, 4, 2, 0, 4, 4, 3, 4, 1, 0, 3, 0, 3, 3, 4, 2, 2, 1, 3, 0, 0, 3, 4, 0, 0, 0, 2, 0, 4, 0, 3, 3, 1, 2, 0, 2, 4, 0, 1, 2, 0, 4, 2, 0, 4, 1, 2, 2, 3, 0, 2, 3, 3, 0, 4, 2, 4, 4, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 3, 0, 1, 3, 4, 4, 3, 4, 1, 4, 3, 1, 2, 0, 3, 4, 3, 3, 4, 1, 1, 2, 2, 0, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 0, 2, 4, 2, 1, 2, 2, 0, 1, 1, 0, 3, 4, 1, 4, 4, 4, 3, 3, 2, 4, 1, 3, 1, 2, 4, 2, 2, 0, 4, 4, 2, 4, 1, 3, 4, 2, 3, 1, 3, 4, 4, 4, 1, 2, 2, 1, 4, 3, 0, 2, 0, 0, 4, 0, 0, 4, 1, 1, 3, 4, 1, 4, 3, 1, 3, 0, 0, 0, 2, 1, 3, 1, 2, 0, 4, 4, 0, 3, 2, 3, 4, 0, 3, 1, 0, 2, 2, 4, 4, 2, 1, 2, 4, 2, 4, 2, 2, 2, 0, 2, 0, 0, 1, 0, 4, 3, 2, 2, 2, 3, 4, 4, 1, 1, 3, 1, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 2, 4, 2, 4, 2, 4, 3, 2, 3, 1, 1, 3, 4, 3, 4, 4, 4, 2, 4, 1, 0, 4, 1, 3, 3, 1, 2] pubkeycol1052 = [3, 1, 0, 3, 3, 3, 4, 0, 2, 2, 0, 3, 4, 1, 3, 0, 2, 0, 4, 1, 3, 4, 0, 1, 1, 4, 1, 2, 4, 4, 4, 4, 0, 1, 1, 0, 4, 3, 2, 2, 3, 1, 3, 3, 2, 4, 3, 3, 0, 3, 4, 0, 4, 0, 2, 4, 0, 1, 1, 4, 1, 1, 1, 4, 3, 2, 1, 2, 1, 2, 1, 4, 4, 0, 0, 1, 3, 0, 4, 3, 1, 3, 4, 4, 0, 4, 3, 4, 0, 4, 1, 3, 1, 3, 2, 2, 0, 3, 1, 0, 1, 1, 2, 2, 0, 1, 3, 1, 4, 2, 4, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 4, 3, 4, 4, 1, 3, 1, 1, 1, 3, 4, 4, 4, 0, 0, 3, 0, 0, 3, 1, 4, 3, 0, 2, 4, 2, 3, 4, 1, 0, 2, 3, 2, 3, 1, 2, 0, 0, 1, 0, 4, 0, 3, 2, 3, 0, 0, 4, 4, 0, 1, 3, 0, 1, 1, 1, 4, 4, 4, 1, 2, 1, 0, 2, 1, 2, 4, 2, 0, 4, 3, 0, 2, 4, 2, 3, 1, 2, 1, 3, 4, 0, 1, 0, 4, 3, 3, 4, 1, 3, 2, 3, 0, 1, 0, 3, 4, 3, 2, 3, 1, 0, 3, 0, 4, 4, 2, 1, 3, 4, 4, 1, 2, 2, 4, 2, 2, 1, 0, 1, 2, 1, 3, 0, 3, 0, 3, 1, 2, 2, 2, 4, 0, 1, 2, 4, 1, 3, 4, 3, 4, 3, 1, 0, 1, 4, 1, 0, 1, 3, 0, 4, 0, 1, 0, 4, 2, 0, 3, 2, 1, 0, 2, 1, 3, 1, 0, 3, 2, 0, 0, 1, 2, 4, 3, 2, 0, 1, 1, 1, 1, 2, 2, 4, 4, 4, 1, 3, 3, 3, 2, 0, 1, 0, 0, 0, 0, 2, 0, 3, 4, 0, 3, 1, 4, 3, 3, 4, 1, 3, 1, 4, 0, 4, 3, 4, 0, 1, 0, 3, 3, 3, 1, 3, 3, 2, 0, 4, 2, 3, 1, 1, 2, 1, 4, 4, 1, 2, 1, 0, 2, 0, 4, 2, 4, 0, 3, 2, 3, 3, 4, 1, 0, 0, 1, 1, 2, 3, 4, 1, 2, 3, 4, 0, 2, 4, 1, 2, 1, 3, 1, 1, 2, 3, 1, 1, 0, 3, 0, 2, 3, 4, 0, 4, 3, 1, 1, 2, 1, 4, 0, 2, 3, 3, 4, 2, 4, 1, 0, 4, 3, 4, 0, 2, 0, 2, 3, 1, 2, 3, 2, 3, 0, 1, 4, 0, 3, 3, 0, 3, 4, 0, 4, 4, 0, 2, 4, 4, 0, 0, 1, 1, 4, 3, 1, 3, 2, 2, 1, 3, 1, 4, 2, 4, 4, 4, 1, 3, 4, 1, 0, 4, 1, 2, 0, 4] pubkeycol1053 = [1, 1, 1, 1, 0, 0, 3, 4, 1, 1, 0, 4, 3, 4, 1, 0, 3, 4, 1, 2, 1, 4, 4, 1, 2, 4, 4, 1, 4, 4, 1, 4, 4, 4, 1, 1, 2, 4, 3, 1, 1, 0, 1, 0, 0, 1, 1, 1, 4, 0, 2, 3, 2, 4, 4, 3, 4, 0, 4, 3, 2, 0, 3, 1, 0, 1, 1, 4, 0, 0, 1, 3, 3, 0, 2, 4, 0, 0, 0, 2, 2, 3, 4, 0, 1, 0, 0, 4, 0, 2, 1, 2, 2, 3, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 4, 4, 0, 3, 3, 3, 0, 3, 3, 1, 4, 3, 1, 0, 4, 4, 3, 0, 0, 1, 1, 1, 0, 2, 4, 1, 4, 0, 2, 0, 4, 3, 0, 3, 3, 3, 1, 0, 1, 3, 2, 0, 1, 2, 2, 3, 0, 0, 0, 2, 4, 1, 3, 0, 4, 3, 0, 1, 0, 4, 2, 3, 0, 0, 1, 3, 3, 1, 2, 1, 0, 1, 0, 3, 3, 0, 3, 4, 1, 0, 3, 2, 1, 0, 4, 2, 1, 2, 1, 0, 0, 4, 0, 0, 4, 2, 2, 3, 0, 3, 3, 4, 1, 0, 0, 3, 2, 2, 3, 0, 1, 0, 2, 3, 0, 4, 4, 4, 1, 4, 4, 2, 1, 1, 2, 2, 4, 3, 2, 3, 0, 4, 4, 2, 1, 3, 4, 4, 2, 3, 0, 3, 1, 0, 3, 3, 0, 3, 2, 3, 0, 1, 3, 0, 0, 3, 3, 4, 1, 3, 2, 4, 3, 1, 4, 1, 1, 3, 1, 2, 3, 4, 1, 3, 3, 1, 3, 0, 0, 3, 2, 3, 4, 4, 4, 4, 3, 0, 1, 3, 2, 4, 2, 0, 3, 1, 0, 1, 1, 3, 3, 4, 2, 2, 4, 3, 4, 2, 2, 2, 2, 0, 1, 1, 4, 2, 3, 0, 4, 0, 2, 1, 4, 3, 1, 1, 2, 4, 3, 1, 0, 0, 0, 4, 0, 4, 2, 4, 4, 0, 4, 1, 0, 4, 0, 1, 4, 0, 2, 2, 1, 3, 1, 1, 4, 2, 1, 3, 2, 4, 4, 0, 4, 4, 4, 2, 3, 1, 2, 0, 0, 2, 2, 4, 1, 3, 1, 3, 2, 3, 2, 0, 4, 4, 1, 0, 1, 0, 2, 2, 2, 3, 1, 0, 2, 3, 1, 1, 2, 0, 2, 2, 0, 1, 4, 0, 2, 4, 3, 1, 4, 0, 4, 4, 1, 4, 1, 0, 0, 0, 1, 1, 4, 0, 0, 3, 3, 4, 2, 4, 4, 4, 2, 0, 4, 3, 4, 4, 3, 3, 2, 3, 2, 0, 3, 3, 2, 3, 2, 4, 4, 1, 0, 2, 4, 2, 4, 4, 1, 4, 4, 3, 2, 0, 2, 0, 0, 3, 2, 0, 0, 2, 4, 4, 3] pubkeycol1054 = [4, 0, 4, 2, 2, 3, 4, 4, 3, 2, 1, 3, 1, 4, 2, 1, 3, 2, 2, 0, 0, 0, 0, 4, 4, 3, 4, 0, 0, 1, 2, 1, 0, 4, 0, 1, 4, 4, 2, 2, 1, 3, 2, 1, 3, 1, 3, 1, 1, 0, 3, 3, 0, 1, 4, 0, 3, 2, 2, 1, 3, 0, 4, 2, 1, 4, 0, 2, 4, 3, 1, 4, 2, 0, 4, 1, 1, 3, 1, 0, 1, 0, 2, 2, 1, 1, 4, 2, 3, 3, 3, 0, 2, 2, 2, 2, 1, 3, 2, 0, 1, 3, 3, 3, 0, 4, 1, 0, 4, 3, 1, 3, 2, 3, 0, 4, 1, 1, 3, 0, 3, 4, 4, 2, 4, 4, 4, 4, 4, 1, 0, 4, 0, 2, 0, 0, 3, 1, 3, 4, 4, 1, 1, 0, 3, 4, 2, 4, 1, 0, 1, 3, 2, 2, 0, 4, 1, 1, 1, 1, 3, 3, 3, 0, 2, 1, 0, 1, 4, 4, 1, 4, 0, 3, 3, 2, 0, 3, 3, 4, 4, 3, 2, 3, 0, 4, 1, 3, 1, 0, 0, 1, 3, 3, 3, 4, 0, 1, 1, 2, 4, 1, 4, 0, 3, 3, 2, 3, 4, 4, 4, 0, 4, 4, 4, 1, 0, 1, 0, 2, 1, 3, 4, 0, 4, 2, 4, 1, 1, 3, 1, 2, 1, 4, 1, 1, 0, 4, 3, 0, 3, 2, 0, 0, 2, 2, 4, 3, 1, 4, 3, 4, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 4, 0, 0, 4, 4, 2, 4, 3, 3, 3, 0, 0, 1, 0, 3, 2, 1, 3, 2, 3, 4, 4, 3, 4, 0, 2, 4, 2, 2, 4, 0, 4, 4, 2, 0, 1, 1, 0, 4, 2, 0, 2, 3, 2, 0, 3, 2, 3, 4, 2, 0, 3, 2, 2, 0, 0, 2, 0, 3, 1, 1, 0, 4, 0, 0, 3, 3, 4, 4, 2, 4, 4, 1, 4, 3, 3, 3, 2, 4, 2, 2, 1, 0, 0, 1, 4, 0, 3, 0, 0, 4, 3, 2, 0, 0, 1, 4, 4, 0, 3, 1, 2, 4, 3, 2, 1, 0, 1, 3, 0, 3, 3, 1, 3, 0, 1, 2, 2, 0, 4, 1, 3, 0, 2, 1, 1, 4, 4, 2, 3, 2, 1, 0, 3, 0, 3, 4, 2, 2, 4, 4, 1, 1, 1, 3, 3, 1, 1, 3, 4, 2, 3, 2, 0, 4, 4, 2, 4, 1, 4, 4, 0, 1, 0, 4, 4, 2, 2, 1, 3, 4, 1, 4, 1, 4, 2, 1, 2, 1, 3, 3, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 4, 3, 2, 3, 1, 4, 3, 3, 1, 1, 4, 0, 1, 2, 3, 1, 4, 2, 0, 3, 3, 0, 3, 1] pubkeycol1055 = [1, 4, 0, 1, 0, 1, 4, 2, 0, 2, 0, 2, 2, 2, 2, 3, 2, 4, 4, 4, 2, 3, 3, 2, 1, 0, 4, 0, 3, 4, 1, 0, 2, 2, 0, 1, 0, 3, 4, 4, 3, 1, 0, 3, 3, 0, 3, 0, 3, 0, 4, 2, 0, 4, 1, 1, 3, 4, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 3, 3, 2, 0, 3, 3, 3, 2, 3, 2, 2, 0, 2, 3, 1, 2, 1, 1, 0, 1, 2, 2, 4, 0, 1, 1, 1, 0, 0, 0, 2, 3, 1, 3, 3, 1, 4, 2, 0, 4, 1, 2, 4, 1, 1, 0, 2, 4, 1, 1, 0, 0, 4, 1, 2, 3, 3, 1, 0, 1, 1, 2, 1, 1, 4, 0, 4, 4, 3, 2, 0, 3, 0, 0, 0, 4, 2, 4, 1, 4, 0, 2, 4, 3, 0, 3, 2, 4, 4, 2, 3, 0, 3, 1, 3, 0, 1, 0, 3, 0, 1, 3, 0, 0, 1, 1, 0, 2, 3, 1, 2, 4, 3, 4, 3, 2, 0, 2, 2, 4, 0, 4, 3, 2, 4, 0, 1, 0, 0, 0, 3, 0, 1, 2, 0, 3, 4, 0, 0, 1, 2, 1, 4, 2, 0, 2, 4, 2, 2, 1, 2, 3, 3, 2, 4, 3, 4, 2, 2, 3, 3, 4, 1, 3, 3, 0, 2, 4, 3, 0, 2, 1, 2, 4, 3, 0, 0, 2, 4, 0, 3, 4, 0, 2, 1, 0, 2, 0, 4, 0, 0, 4, 1, 2, 4, 2, 1, 0, 2, 1, 3, 2, 2, 0, 2, 0, 0, 3, 3, 4, 4, 1, 2, 0, 3, 3, 4, 2, 3, 1, 1, 4, 2, 1, 2, 2, 4, 4, 2, 2, 4, 1, 3, 1, 3, 4, 0, 2, 0, 1, 1, 4, 1, 4, 3, 4, 3, 0, 2, 1, 3, 4, 1, 3, 2, 0, 0, 3, 1, 3, 1, 2, 2, 0, 3, 0, 1, 1, 4, 3, 2, 4, 3, 0, 4, 2, 2, 0, 2, 1, 4, 4, 0, 2, 3, 0, 3, 3, 2, 4, 2, 3, 1, 0, 1, 1, 4, 2, 0, 4, 2, 4, 3, 1, 4, 3, 2, 2, 1, 0, 2, 2, 4, 3, 4, 4, 4, 0, 0, 0, 0, 4, 1, 4, 2, 3, 0, 1, 2, 2, 1, 4, 2, 4, 3, 3, 1, 4, 2, 3, 2, 4, 1, 2, 2, 0, 3, 1, 3, 3, 3, 2, 4, 3, 4, 1, 2, 2, 4, 4, 1, 2, 4, 4, 0, 1, 0, 1, 4, 1, 1, 1, 1, 4, 2, 3, 1, 3, 0, 3, 0, 1, 1, 3, 0, 3, 1, 4, 3, 4, 1, 0, 0, 3, 1, 1, 3, 4, 1, 2, 2, 3, 3, 4, 1, 1, 3, 2, 3] pubkeycol1056 = [0, 3, 3, 0, 0, 0, 3, 3, 3, 0, 2, 4, 1, 1, 1, 3, 3, 4, 0, 3, 4, 0, 2, 2, 2, 0, 4, 4, 2, 3, 3, 4, 2, 1, 2, 0, 4, 2, 1, 4, 0, 3, 2, 0, 2, 1, 2, 4, 0, 1, 2, 2, 1, 4, 2, 3, 1, 4, 3, 0, 0, 3, 2, 2, 1, 3, 0, 3, 2, 4, 1, 0, 1, 3, 3, 4, 1, 1, 2, 1, 4, 1, 1, 4, 0, 0, 2, 1, 4, 0, 2, 3, 2, 0, 3, 4, 4, 3, 3, 2, 2, 3, 4, 2, 4, 1, 1, 2, 3, 2, 3, 4, 1, 1, 3, 0, 4, 0, 3, 4, 1, 4, 0, 3, 1, 3, 4, 3, 3, 1, 0, 1, 2, 4, 3, 4, 4, 2, 4, 4, 2, 0, 0, 3, 0, 0, 3, 3, 1, 4, 2, 2, 1, 1, 4, 1, 2, 2, 3, 3, 4, 4, 1, 1, 1, 3, 0, 1, 2, 3, 0, 1, 4, 2, 4, 1, 0, 3, 4, 2, 1, 1, 1, 0, 1, 3, 3, 4, 4, 3, 2, 0, 0, 1, 1, 4, 2, 3, 0, 3, 2, 2, 0, 4, 0, 1, 2, 4, 1, 4, 2, 4, 4, 1, 2, 4, 0, 3, 4, 2, 0, 0, 0, 4, 1, 1, 1, 4, 3, 1, 3, 1, 1, 2, 2, 0, 2, 0, 3, 2, 0, 4, 4, 1, 4, 0, 4, 3, 3, 2, 2, 4, 3, 2, 0, 4, 1, 3, 1, 0, 1, 1, 1, 0, 3, 4, 1, 4, 3, 0, 4, 4, 4, 2, 2, 0, 3, 4, 0, 1, 3, 0, 2, 4, 1, 2, 3, 3, 2, 2, 4, 3, 3, 2, 4, 0, 4, 1, 3, 3, 4, 0, 4, 4, 1, 2, 4, 0, 3, 3, 2, 4, 0, 2, 2, 2, 0, 0, 3, 2, 0, 3, 0, 1, 3, 0, 1, 3, 1, 3, 0, 4, 4, 0, 1, 3, 2, 2, 3, 0, 3, 3, 1, 4, 0, 2, 2, 4, 0, 3, 4, 0, 3, 0, 4, 3, 0, 4, 0, 0, 4, 4, 3, 3, 3, 2, 4, 1, 4, 0, 1, 2, 4, 1, 0, 0, 3, 2, 4, 0, 2, 1, 0, 1, 4, 1, 1, 3, 3, 1, 4, 4, 2, 2, 3, 0, 3, 1, 2, 4, 3, 2, 3, 0, 4, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 2, 2, 0, 2, 1, 4, 2, 4, 4, 1, 0, 0, 2, 0, 0, 0, 4, 3, 3, 3, 0, 0, 0, 1, 2, 1, 1, 3, 4, 3, 3, 0, 3, 1, 3, 0, 2, 2, 0, 0, 4, 1, 4, 4, 0, 1, 3, 1, 3, 0, 2, 1, 3, 1, 4, 4, 0, 3, 2, 3, 3, 2, 0, 3, 4] pubkeycol1057 = [2, 0, 3, 1, 0, 4, 3, 3, 1, 1, 2, 0, 3, 0, 4, 1, 3, 0, 0, 3, 0, 3, 4, 0, 4, 3, 2, 1, 0, 4, 0, 2, 3, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 4, 1, 3, 0, 3, 0, 0, 2, 0, 2, 0, 0, 1, 4, 1, 3, 0, 3, 3, 1, 4, 4, 3, 4, 2, 2, 1, 4, 1, 1, 0, 3, 1, 1, 1, 3, 1, 3, 0, 2, 4, 1, 3, 1, 4, 2, 4, 3, 2, 1, 0, 3, 1, 4, 1, 3, 2, 1, 4, 3, 0, 2, 0, 3, 4, 4, 3, 4, 3, 1, 1, 4, 0, 3, 3, 3, 4, 2, 0, 2, 2, 0, 3, 3, 1, 2, 2, 3, 0, 3, 0, 1, 2, 4, 0, 0, 1, 2, 4, 2, 0, 4, 3, 1, 2, 3, 2, 3, 2, 0, 2, 2, 4, 1, 0, 2, 0, 4, 4, 2, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 4, 2, 1, 2, 2, 3, 4, 1, 3, 0, 3, 1, 2, 1, 1, 4, 0, 0, 4, 3, 2, 1, 2, 2, 1, 2, 2, 3, 1, 0, 3, 4, 4, 1, 1, 2, 2, 2, 2, 0, 4, 4, 1, 4, 0, 4, 0, 1, 0, 0, 4, 0, 2, 1, 0, 0, 1, 2, 2, 2, 3, 3, 0, 1, 3, 2, 0, 0, 2, 2, 3, 0, 0, 4, 2, 3, 1, 4, 0, 2, 2, 3, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 2, 3, 0, 4, 1, 2, 2, 4, 1, 4, 0, 3, 0, 2, 2, 1, 2, 1, 4, 4, 3, 1, 4, 2, 3, 4, 3, 3, 4, 3, 1, 2, 3, 1, 2, 0, 2, 0, 3, 0, 0, 4, 4, 3, 0, 1, 0, 4, 0, 2, 1, 4, 2, 3, 2, 1, 1, 0, 1, 1, 4, 1, 1, 4, 0, 1, 3, 2, 1, 2, 4, 0, 2, 0, 0, 3, 1, 0, 4, 4, 0, 3, 1, 3, 2, 1, 3, 0, 2, 2, 1, 0, 2, 0, 4, 1, 1, 0, 2, 3, 4, 3, 4, 2, 0, 3, 0, 3, 1, 0, 3, 4, 2, 1, 0, 2, 2, 0, 0, 4, 4, 0, 2, 4, 1, 0, 3, 0, 4, 3, 2, 0, 3, 3, 2, 2, 3, 2, 1, 0, 3, 0, 2, 4, 1, 0, 1, 4, 4, 2, 1, 2, 2, 4, 0, 3, 1, 4, 0, 3, 4, 2, 4, 4, 3, 1, 2, 4, 2, 1, 0, 2, 3, 3, 2, 0, 4, 3, 0, 3, 4, 0, 2, 1, 1, 1, 0, 4, 1, 1, 3, 1, 3, 2, 4, 1, 4, 3, 2, 4, 3, 0, 4, 3, 4, 4, 4, 4, 2, 0] pubkeycol1058 = [1, 3, 4, 1, 1, 2, 1, 1, 1, 2, 1, 4, 4, 1, 1, 3, 4, 3, 3, 1, 3, 1, 2, 3, 0, 3, 0, 1, 1, 2, 2, 4, 3, 2, 1, 1, 0, 0, 3, 0, 3, 0, 0, 1, 4, 4, 3, 0, 2, 0, 2, 2, 3, 2, 0, 3, 4, 4, 2, 4, 0, 3, 3, 2, 0, 1, 2, 3, 2, 0, 3, 1, 3, 0, 4, 2, 2, 1, 3, 2, 0, 2, 0, 3, 1, 4, 2, 0, 1, 0, 4, 4, 3, 4, 0, 0, 0, 2, 2, 4, 1, 4, 4, 3, 1, 2, 2, 0, 4, 0, 1, 4, 0, 3, 3, 0, 0, 0, 2, 2, 1, 4, 0, 1, 0, 4, 4, 2, 3, 0, 4, 3, 1, 0, 0, 2, 2, 3, 2, 1, 4, 2, 1, 1, 1, 4, 3, 1, 0, 1, 4, 1, 3, 4, 2, 4, 0, 3, 1, 2, 1, 1, 0, 1, 4, 3, 4, 4, 3, 1, 0, 2, 4, 3, 3, 1, 4, 3, 4, 1, 1, 4, 3, 4, 0, 1, 3, 1, 3, 2, 3, 3, 4, 1, 4, 2, 2, 1, 0, 4, 2, 1, 1, 1, 2, 2, 2, 4, 0, 2, 4, 1, 2, 3, 2, 4, 3, 3, 3, 3, 1, 0, 0, 0, 4, 4, 4, 3, 3, 3, 3, 3, 1, 4, 3, 4, 0, 3, 1, 2, 3, 3, 1, 3, 0, 1, 2, 4, 4, 1, 2, 3, 3, 4, 0, 0, 0, 3, 4, 0, 3, 3, 2, 4, 4, 2, 4, 1, 4, 3, 2, 2, 2, 2, 4, 0, 3, 1, 3, 4, 0, 0, 1, 3, 0, 0, 2, 4, 3, 0, 1, 0, 3, 1, 2, 0, 1, 2, 2, 4, 3, 2, 1, 2, 3, 4, 3, 3, 0, 1, 3, 0, 2, 2, 3, 3, 1, 2, 1, 1, 4, 3, 0, 0, 1, 0, 3, 2, 3, 2, 3, 3, 3, 1, 2, 1, 2, 4, 0, 3, 4, 2, 2, 4, 3, 3, 0, 3, 4, 0, 3, 1, 3, 2, 3, 0, 4, 4, 3, 0, 1, 2, 3, 1, 4, 4, 4, 0, 4, 3, 1, 3, 3, 3, 2, 1, 2, 2, 2, 2, 4, 3, 0, 2, 4, 4, 0, 0, 3, 0, 2, 2, 2, 2, 4, 4, 0, 1, 4, 0, 1, 3, 1, 0, 1, 3, 0, 0, 0, 2, 1, 4, 1, 1, 1, 1, 0, 1, 2, 4, 4, 0, 3, 3, 3, 0, 2, 4, 0, 2, 0, 1, 4, 1, 1, 3, 0, 3, 4, 0, 0, 2, 2, 0, 0, 0, 3, 0, 3, 2, 4, 1, 0, 3, 2, 2, 3, 1, 4, 2, 1, 4, 3, 3, 2, 4, 1, 0, 1, 1, 2, 4, 0, 2, 2, 1, 4, 2, 3, 1] pubkeycol1059 = [3, 4, 4, 1, 3, 0, 3, 1, 0, 3, 1, 1, 3, 4, 1, 1, 3, 3, 2, 3, 3, 2, 1, 2, 0, 1, 2, 0, 2, 3, 2, 3, 3, 4, 2, 1, 2, 2, 1, 0, 4, 4, 0, 3, 3, 1, 0, 2, 1, 0, 1, 2, 2, 4, 1, 2, 2, 3, 4, 4, 4, 3, 2, 1, 3, 3, 2, 0, 4, 1, 2, 3, 0, 3, 3, 3, 2, 1, 3, 0, 4, 1, 4, 2, 1, 2, 4, 0, 1, 1, 2, 4, 1, 1, 4, 1, 1, 1, 4, 2, 2, 2, 1, 3, 3, 4, 3, 2, 3, 1, 4, 3, 2, 4, 1, 3, 3, 2, 2, 4, 1, 3, 3, 4, 4, 3, 2, 4, 2, 2, 2, 4, 4, 4, 4, 4, 0, 4, 1, 1, 3, 3, 3, 3, 3, 2, 4, 4, 0, 1, 4, 3, 4, 2, 1, 4, 1, 2, 2, 4, 4, 1, 1, 4, 0, 2, 4, 4, 1, 3, 2, 4, 1, 3, 3, 1, 1, 3, 3, 1, 4, 2, 4, 2, 3, 3, 0, 3, 3, 4, 0, 4, 3, 1, 1, 2, 1, 0, 1, 4, 2, 4, 1, 0, 0, 3, 4, 1, 0, 4, 0, 1, 3, 0, 4, 2, 1, 0, 4, 3, 4, 0, 3, 3, 0, 2, 2, 1, 1, 1, 2, 0, 3, 4, 2, 0, 1, 4, 3, 1, 2, 3, 3, 2, 1, 0, 4, 3, 1, 0, 3, 2, 2, 3, 4, 0, 4, 2, 4, 4, 1, 1, 4, 0, 0, 2, 2, 2, 4, 1, 2, 1, 1, 2, 2, 4, 0, 2, 1, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 3, 4, 1, 0, 0, 4, 0, 1, 4, 1, 4, 2, 4, 1, 4, 2, 4, 3, 2, 4, 2, 0, 3, 2, 4, 0, 4, 3, 3, 2, 2, 3, 1, 0, 1, 1, 1, 3, 2, 1, 0, 1, 4, 4, 1, 4, 1, 4, 0, 2, 0, 0, 4, 4, 4, 2, 4, 3, 0, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 0, 2, 2, 0, 4, 3, 1, 1, 2, 3, 3, 3, 4, 3, 1, 0, 3, 3, 1, 2, 0, 4, 4, 1, 3, 2, 2, 3, 3, 0, 0, 0, 3, 3, 1, 0, 0, 4, 4, 4, 4, 2, 2, 0, 1, 2, 4, 0, 2, 3, 0, 2, 3, 0, 2, 0, 4, 4, 4, 3, 1, 0, 1, 3, 0, 0, 4, 1, 1, 0, 2, 3, 2, 2, 1, 3, 0, 1, 4, 3, 0, 3, 3, 0, 2, 4, 0, 3, 1, 3, 0, 2, 3, 2, 3, 0, 3, 3, 2, 0, 4, 4, 4, 0, 0, 4, 1, 0, 3, 2, 0, 1, 4, 0, 3, 0, 0, 4, 4, 4, 4, 1] pubkeycol1060 = [4, 1, 1, 0, 2, 1, 1, 1, 3, 4, 0, 4, 1, 2, 3, 1, 2, 4, 0, 0, 2, 4, 1, 1, 0, 4, 3, 3, 3, 4, 1, 2, 0, 0, 1, 0, 4, 1, 1, 4, 0, 4, 2, 0, 4, 1, 0, 3, 3, 0, 3, 0, 4, 1, 4, 1, 0, 1, 1, 3, 0, 1, 2, 0, 2, 3, 3, 0, 0, 1, 3, 4, 1, 1, 1, 2, 3, 0, 0, 4, 2, 0, 2, 4, 2, 3, 1, 4, 2, 3, 3, 1, 0, 3, 4, 4, 0, 4, 4, 2, 0, 1, 0, 2, 4, 2, 2, 1, 4, 3, 3, 0, 0, 2, 2, 0, 3, 2, 2, 0, 4, 2, 2, 3, 3, 4, 1, 0, 0, 0, 2, 1, 3, 1, 2, 0, 1, 1, 4, 3, 0, 2, 2, 2, 3, 2, 0, 3, 2, 0, 1, 0, 3, 1, 0, 3, 1, 0, 2, 2, 3, 4, 1, 4, 1, 2, 2, 0, 2, 0, 2, 2, 2, 4, 2, 1, 2, 3, 1, 2, 2, 4, 0, 0, 0, 1, 3, 0, 0, 4, 2, 3, 3, 1, 4, 1, 2, 0, 2, 0, 2, 3, 2, 3, 3, 1, 3, 2, 0, 1, 4, 2, 2, 1, 0, 4, 0, 4, 1, 3, 0, 4, 1, 2, 4, 1, 4, 1, 4, 4, 1, 0, 1, 0, 4, 4, 4, 2, 4, 3, 0, 1, 0, 1, 2, 4, 4, 4, 0, 3, 4, 0, 2, 2, 4, 0, 3, 4, 4, 2, 3, 0, 3, 3, 2, 4, 4, 2, 1, 2, 4, 4, 2, 3, 2, 2, 0, 1, 0, 0, 2, 2, 3, 2, 4, 4, 4, 0, 2, 0, 0, 3, 4, 0, 3, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 3, 0, 0, 2, 0, 3, 1, 4, 4, 4, 0, 0, 0, 4, 4, 1, 0, 3, 0, 0, 4, 0, 3, 4, 2, 4, 1, 1, 3, 2, 1, 2, 4, 3, 3, 2, 2, 0, 0, 0, 4, 1, 2, 4, 3, 1, 4, 2, 3, 0, 0, 3, 2, 3, 0, 2, 1, 1, 1, 4, 3, 4, 0, 0, 3, 2, 3, 1, 3, 3, 3, 2, 4, 2, 3, 1, 2, 0, 1, 4, 2, 2, 0, 2, 3, 0, 0, 0, 3, 0, 3, 2, 2, 1, 4, 2, 3, 0, 4, 4, 2, 4, 2, 4, 4, 3, 2, 3, 0, 0, 3, 3, 3, 1, 2, 1, 2, 2, 4, 1, 4, 2, 3, 4, 0, 3, 0, 1, 3, 2, 1, 0, 1, 1, 3, 1, 4, 2, 1, 0, 1, 3, 3, 0, 0, 4, 4, 0, 0, 3, 0, 1, 4, 4, 1, 2, 0, 0, 4, 4, 2, 2, 2, 1, 1, 3, 2, 3, 1, 1, 3, 1, 0, 1, 2] pubkeycol1061 = [1, 2, 4, 4, 3, 1, 2, 0, 4, 3, 3, 1, 0, 0, 2, 1, 4, 3, 0, 4, 0, 2, 1, 3, 4, 1, 3, 3, 4, 0, 3, 0, 1, 1, 4, 2, 0, 4, 0, 4, 3, 0, 4, 4, 3, 2, 3, 1, 4, 4, 0, 4, 3, 3, 3, 3, 2, 4, 2, 0, 1, 2, 3, 3, 0, 1, 0, 3, 0, 0, 3, 0, 1, 0, 3, 0, 4, 0, 0, 3, 3, 3, 1, 3, 2, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 4, 1, 3, 1, 4, 0, 3, 4, 3, 3, 0, 2, 2, 3, 1, 1, 4, 2, 2, 3, 1, 3, 0, 1, 2, 4, 3, 1, 3, 3, 3, 3, 4, 1, 2, 2, 0, 1, 3, 2, 2, 3, 0, 1, 2, 0, 2, 4, 1, 2, 1, 4, 4, 3, 3, 0, 4, 2, 4, 0, 0, 4, 3, 0, 1, 0, 0, 3, 4, 0, 4, 4, 4, 1, 1, 1, 4, 2, 0, 1, 0, 4, 4, 0, 2, 2, 4, 1, 3, 0, 1, 0, 0, 2, 0, 1, 3, 3, 3, 3, 0, 3, 1, 1, 3, 4, 1, 0, 2, 0, 3, 4, 4, 1, 1, 3, 3, 0, 2, 3, 3, 4, 1, 4, 3, 1, 0, 3, 3, 0, 1, 0, 3, 1, 4, 1, 0, 1, 3, 1, 4, 1, 0, 4, 1, 3, 0, 3, 2, 0, 2, 0, 3, 0, 2, 0, 1, 1, 1, 4, 1, 4, 4, 0, 4, 4, 4, 0, 2, 0, 3, 0, 3, 4, 3, 4, 1, 4, 2, 4, 3, 3, 0, 0, 2, 1, 2, 0, 0, 3, 0, 0, 2, 2, 1, 4, 3, 0, 1, 2, 1, 2, 1, 2, 4, 0, 2, 4, 1, 4, 0, 4, 0, 0, 4, 4, 3, 0, 2, 4, 3, 0, 1, 4, 3, 4, 3, 4, 0, 4, 4, 4, 4, 3, 2, 0, 1, 1, 4, 0, 4, 1, 4, 0, 4, 4, 3, 2, 0, 1, 2, 3, 0, 3, 0, 2, 1, 2, 1, 1, 3, 1, 2, 0, 2, 2, 3, 1, 1, 0, 3, 4, 4, 1, 0, 4, 0, 2, 0, 4, 1, 1, 0, 4, 2, 4, 1, 4, 3, 4, 0, 3, 1, 4, 2, 4, 0, 1, 3, 2, 0, 4, 3, 0, 2, 4, 2, 2, 4, 0, 3, 3, 1, 4, 1, 4, 0, 1, 1, 0, 4, 4, 2, 3, 4, 3, 1, 1, 3, 2, 4, 0, 2, 2, 1, 4, 0, 4, 2, 4, 4, 0, 3, 4, 4, 3, 4, 2, 2, 3, 3, 1, 4, 4, 3, 1, 3, 4, 2, 3, 4, 4, 0, 0, 2, 3, 0, 2, 4, 3, 2, 4, 2, 1, 3, 4, 1, 2, 0, 3, 0, 3, 0] pubkeycol1062 = [2, 4, 4, 4, 0, 4, 3, 4, 4, 4, 3, 0, 0, 3, 2, 4, 0, 3, 0, 2, 1, 1, 2, 1, 3, 1, 1, 0, 0, 1, 2, 3, 2, 2, 0, 1, 1, 3, 2, 2, 1, 2, 4, 0, 1, 0, 4, 3, 4, 2, 3, 2, 1, 4, 1, 3, 2, 0, 0, 4, 2, 4, 3, 0, 0, 3, 4, 1, 1, 4, 4, 0, 0, 2, 1, 0, 3, 1, 1, 2, 3, 4, 2, 4, 0, 0, 4, 2, 1, 1, 0, 0, 0, 2, 2, 4, 0, 2, 3, 0, 0, 4, 0, 1, 2, 1, 1, 4, 3, 1, 3, 2, 3, 1, 0, 0, 3, 4, 4, 2, 2, 3, 3, 2, 4, 4, 0, 2, 3, 0, 0, 2, 4, 2, 2, 1, 3, 0, 3, 3, 3, 0, 1, 1, 0, 2, 3, 4, 2, 3, 2, 2, 2, 1, 2, 3, 2, 0, 2, 0, 2, 0, 4, 0, 3, 1, 0, 3, 2, 3, 3, 1, 3, 1, 4, 2, 1, 0, 2, 2, 2, 4, 3, 0, 0, 3, 1, 4, 4, 2, 4, 1, 4, 1, 0, 1, 4, 2, 4, 4, 3, 1, 1, 4, 1, 0, 3, 1, 0, 0, 1, 3, 0, 2, 2, 1, 0, 4, 1, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 3, 1, 1, 0, 3, 1, 0, 4, 1, 3, 1, 4, 0, 2, 3, 3, 1, 4, 4, 3, 3, 0, 3, 0, 1, 3, 3, 3, 0, 2, 3, 0, 0, 2, 0, 1, 4, 4, 4, 2, 3, 3, 1, 0, 0, 3, 1, 4, 1, 4, 4, 4, 2, 1, 1, 2, 4, 2, 3, 4, 3, 0, 4, 1, 1, 0, 0, 1, 2, 3, 0, 2, 3, 1, 4, 0, 2, 2, 3, 1, 4, 2, 3, 0, 4, 4, 0, 4, 3, 0, 0, 2, 3, 3, 0, 4, 2, 1, 2, 2, 1, 0, 3, 3, 2, 3, 0, 2, 0, 1, 4, 2, 4, 3, 0, 1, 1, 3, 0, 0, 0, 0, 1, 0, 3, 3, 4, 4, 3, 2, 3, 3, 0, 4, 3, 4, 3, 2, 4, 1, 0, 0, 2, 1, 3, 1, 1, 3, 2, 1, 0, 1, 1, 1, 4, 0, 4, 1, 0, 4, 0, 0, 1, 4, 3, 1, 0, 2, 2, 3, 4, 2, 2, 0, 2, 3, 4, 0, 0, 0, 3, 4, 2, 0, 0, 2, 1, 3, 3, 3, 4, 3, 4, 2, 4, 2, 4, 4, 0, 2, 4, 3, 1, 2, 2, 4, 0, 1, 3, 3, 2, 4, 1, 3, 0, 0, 2, 4, 3, 2, 1, 0, 3, 4, 3, 0, 4, 0, 1, 3, 4, 4, 1, 4, 4, 1, 1, 0, 1, 1, 3, 4, 3, 4, 4, 3, 3, 4, 2, 0] pubkeycol1063 = [0, 2, 0, 3, 0, 1, 0, 3, 2, 1, 1, 3, 4, 2, 0, 0, 4, 0, 1, 4, 1, 2, 4, 3, 1, 2, 2, 1, 3, 2, 1, 1, 0, 4, 2, 4, 3, 1, 2, 1, 1, 4, 2, 0, 0, 4, 0, 2, 2, 4, 4, 3, 0, 1, 4, 4, 3, 3, 1, 4, 0, 1, 0, 2, 0, 3, 1, 2, 2, 4, 4, 3, 1, 0, 3, 0, 2, 4, 3, 0, 3, 2, 1, 0, 1, 4, 2, 2, 4, 1, 3, 1, 2, 2, 0, 4, 2, 1, 0, 0, 4, 0, 0, 2, 0, 0, 3, 2, 1, 0, 2, 2, 1, 3, 4, 3, 4, 4, 3, 4, 2, 1, 2, 4, 2, 4, 0, 0, 2, 3, 3, 4, 0, 1, 2, 1, 1, 2, 1, 4, 1, 3, 0, 4, 3, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 3, 3, 4, 3, 2, 0, 0, 0, 3, 3, 0, 3, 0, 2, 1, 1, 1, 3, 2, 4, 3, 0, 0, 1, 2, 3, 3, 4, 3, 4, 3, 2, 2, 1, 4, 1, 1, 2, 4, 1, 3, 2, 1, 3, 3, 2, 2, 1, 3, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 4, 4, 0, 4, 0, 1, 3, 2, 2, 2, 2, 0, 3, 2, 3, 3, 2, 0, 2, 0, 3, 4, 1, 4, 4, 0, 2, 4, 3, 3, 0, 4, 3, 3, 3, 0, 2, 2, 2, 0, 0, 0, 3, 0, 2, 3, 3, 3, 0, 2, 4, 1, 3, 3, 3, 4, 1, 1, 4, 3, 0, 1, 3, 0, 3, 3, 0, 4, 3, 2, 4, 2, 0, 4, 2, 2, 3, 2, 0, 3, 4, 3, 0, 0, 2, 2, 1, 0, 3, 3, 3, 2, 0, 1, 0, 3, 2, 2, 0, 2, 0, 1, 0, 0, 3, 2, 1, 1, 3, 3, 1, 0, 2, 0, 0, 2, 0, 3, 2, 2, 0, 2, 0, 1, 3, 0, 1, 4, 3, 0, 3, 4, 0, 3, 0, 1, 2, 2, 1, 3, 2, 3, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 3, 4, 4, 0, 3, 0, 4, 2, 4, 1, 0, 4, 1, 1, 4, 0, 1, 1, 2, 2, 0, 1, 3, 0, 4, 3, 4, 0, 4, 3, 1, 0, 0, 1, 0, 3, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 3, 4, 3, 1, 1, 3, 0, 3, 4, 0, 1, 0, 1, 2, 1, 1, 4, 4, 3, 2, 4, 4, 0, 1, 3, 1, 2, 4, 1, 4, 3, 3, 1, 4, 2, 0, 2, 2, 4, 2, 2, 4, 2, 4, 3, 4, 1, 0, 2, 1, 1, 0, 0, 0, 1, 4, 2, 2, 3, 2] pubkeycol1064 = [1, 3, 1, 1, 1, 1, 2, 2, 2, 3, 2, 4, 1, 2, 1, 1, 2, 3, 3, 1, 0, 3, 0, 0, 0, 2, 0, 2, 4, 3, 0, 2, 3, 1, 2, 4, 4, 2, 3, 3, 1, 1, 0, 2, 3, 3, 1, 2, 0, 4, 3, 3, 3, 0, 3, 4, 0, 0, 1, 1, 4, 1, 4, 3, 1, 2, 4, 3, 4, 3, 3, 4, 4, 3, 0, 4, 1, 3, 0, 4, 1, 0, 2, 1, 0, 3, 3, 0, 4, 0, 4, 4, 0, 3, 3, 0, 4, 0, 4, 3, 0, 3, 4, 0, 2, 4, 4, 1, 4, 1, 3, 4, 2, 0, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 2, 3, 2, 4, 1, 4, 4, 3, 1, 3, 4, 0, 2, 1, 3, 0, 0, 1, 0, 2, 2, 3, 1, 0, 1, 2, 0, 2, 2, 1, 3, 3, 1, 2, 2, 4, 3, 1, 3, 1, 2, 1, 0, 4, 4, 4, 2, 1, 4, 3, 3, 4, 3, 2, 1, 0, 0, 1, 4, 3, 0, 3, 2, 3, 2, 3, 3, 4, 4, 2, 3, 4, 1, 2, 4, 0, 3, 2, 2, 2, 1, 3, 0, 3, 3, 4, 0, 0, 4, 2, 2, 4, 1, 0, 3, 1, 3, 3, 2, 0, 0, 2, 3, 0, 0, 1, 4, 4, 2, 1, 1, 4, 1, 0, 4, 2, 1, 2, 1, 2, 4, 1, 2, 0, 2, 3, 3, 0, 3, 2, 0, 3, 3, 0, 2, 0, 0, 4, 0, 2, 3, 2, 3, 3, 1, 0, 2, 2, 3, 2, 2, 0, 0, 1, 0, 0, 4, 4, 3, 0, 3, 2, 0, 1, 4, 0, 0, 2, 2, 0, 3, 3, 3, 2, 3, 3, 4, 2, 3, 0, 2, 2, 4, 1, 2, 3, 2, 0, 2, 1, 3, 1, 1, 0, 2, 1, 3, 0, 2, 4, 0, 1, 3, 3, 2, 3, 4, 3, 3, 2, 0, 4, 1, 1, 0, 4, 3, 1, 2, 2, 2, 4, 0, 2, 1, 1, 4, 2, 1, 4, 2, 1, 3, 0, 3, 2, 3, 1, 3, 3, 1, 2, 0, 3, 1, 3, 4, 2, 1, 0, 2, 4, 2, 3, 1, 3, 3, 4, 1, 3, 2, 3, 4, 2, 3, 4, 0, 4, 0, 1, 3, 4, 1, 4, 2, 1, 3, 2, 3, 1, 3, 1, 3, 3, 4, 2, 4, 0, 2, 4, 2, 0, 2, 2, 4, 1, 4, 3, 2, 2, 2, 1, 1, 2, 3, 1, 1, 0, 0, 4, 3, 4, 2, 3, 0, 2, 4, 4, 1, 3, 1, 1, 4, 4, 2, 3, 3, 1, 1, 4, 0, 0, 4, 2, 2, 2, 3, 0, 4, 0, 0, 4, 2, 0, 3, 1, 3, 3, 4, 4, 0, 0, 0, 4, 0, 2] pubkeycol1065 = [4, 4, 4, 1, 3, 1, 3, 4, 3, 2, 0, 2, 1, 4, 1, 3, 1, 2, 4, 0, 1, 1, 0, 1, 0, 3, 0, 3, 3, 4, 3, 4, 4, 4, 1, 2, 4, 2, 4, 2, 1, 4, 1, 2, 3, 1, 2, 4, 4, 1, 3, 4, 3, 2, 0, 4, 0, 0, 1, 4, 2, 4, 3, 2, 3, 3, 4, 3, 2, 1, 0, 3, 4, 1, 3, 1, 4, 0, 1, 0, 4, 2, 1, 1, 4, 0, 2, 4, 3, 1, 2, 2, 0, 0, 2, 4, 3, 1, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 0, 4, 4, 3, 3, 1, 2, 1, 2, 3, 1, 3, 3, 2, 3, 0, 4, 0, 4, 1, 0, 1, 2, 4, 3, 4, 3, 3, 4, 4, 4, 2, 2, 1, 2, 2, 1, 3, 2, 4, 4, 1, 0, 0, 4, 4, 4, 0, 1, 4, 4, 0, 0, 4, 2, 4, 0, 1, 4, 4, 0, 0, 2, 1, 4, 0, 0, 4, 1, 3, 2, 1, 4, 4, 2, 2, 0, 1, 0, 4, 2, 3, 3, 1, 3, 2, 0, 0, 3, 4, 0, 4, 0, 4, 3, 4, 3, 3, 2, 1, 0, 3, 1, 0, 1, 4, 3, 0, 1, 4, 4, 3, 0, 0, 2, 4, 2, 3, 0, 4, 4, 0, 2, 0, 3, 1, 2, 4, 2, 4, 0, 1, 0, 3, 3, 4, 0, 2, 2, 2, 0, 4, 2, 4, 4, 0, 3, 0, 0, 1, 4, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 3, 1, 3, 1, 0, 1, 1, 4, 3, 3, 1, 4, 2, 0, 3, 0, 3, 1, 1, 1, 0, 3, 4, 4, 2, 0, 0, 0, 1, 0, 3, 2, 2, 0, 4, 4, 1, 0, 2, 3, 2, 1, 4, 3, 3, 3, 0, 1, 2, 0, 1, 0, 2, 3, 2, 4, 2, 2, 3, 3, 3, 4, 2, 4, 3, 1, 3, 4, 3, 0, 4, 2, 0, 2, 4, 1, 1, 4, 1, 4, 2, 4, 3, 3, 0, 3, 3, 4, 3, 4, 4, 0, 0, 2, 4, 3, 0, 3, 1, 4, 4, 4, 0, 1, 4, 0, 2, 0, 3, 4, 4, 0, 2, 1, 0, 2, 4, 1, 1, 2, 4, 4, 3, 2, 4, 4, 2, 1, 1, 0, 2, 4, 3, 1, 2, 4, 3, 2, 1, 2, 1, 3, 1, 2, 1, 1, 3, 0, 4, 2, 2, 1, 0, 3, 0, 3, 0, 1, 2, 4, 3, 0, 0, 3, 2, 4, 4, 0, 4, 3, 4, 3, 1, 4, 4, 0, 1, 1, 4, 0, 2, 3, 4, 3, 0, 1, 0, 4, 1, 1, 2, 3, 2, 4, 2, 3, 3, 2, 0, 4, 2, 4, 3, 4, 1, 2, 3, 3, 2] pubkeycol1066 = [2, 4, 2, 3, 3, 1, 1, 1, 1, 1, 4, 1, 0, 4, 0, 4, 3, 2, 4, 2, 2, 4, 1, 3, 4, 2, 2, 2, 0, 2, 1, 3, 0, 4, 0, 0, 2, 0, 0, 3, 3, 3, 0, 4, 2, 4, 1, 0, 2, 3, 0, 3, 0, 1, 0, 3, 0, 0, 3, 1, 0, 2, 3, 4, 0, 1, 3, 2, 2, 1, 3, 1, 2, 3, 3, 2, 1, 1, 0, 1, 1, 1, 3, 2, 4, 0, 0, 0, 4, 4, 0, 1, 3, 2, 0, 1, 0, 4, 1, 3, 2, 0, 2, 0, 4, 3, 3, 1, 0, 0, 0, 4, 2, 4, 3, 3, 3, 3, 0, 4, 1, 3, 4, 1, 2, 2, 4, 2, 4, 4, 4, 1, 2, 2, 4, 1, 4, 0, 0, 0, 3, 3, 2, 1, 0, 2, 1, 4, 4, 2, 1, 2, 0, 3, 1, 4, 4, 4, 3, 1, 4, 3, 1, 0, 2, 0, 2, 0, 4, 1, 4, 0, 4, 2, 4, 2, 0, 2, 1, 3, 1, 2, 4, 3, 3, 4, 3, 4, 0, 4, 0, 4, 0, 4, 4, 3, 4, 1, 4, 0, 3, 3, 4, 0, 1, 0, 3, 1, 3, 2, 4, 1, 1, 1, 4, 1, 0, 2, 2, 3, 2, 1, 3, 1, 0, 2, 1, 4, 1, 1, 0, 3, 1, 3, 0, 3, 3, 0, 2, 4, 0, 1, 0, 4, 0, 0, 3, 4, 2, 3, 0, 1, 4, 4, 1, 3, 1, 3, 3, 3, 1, 2, 0, 0, 1, 1, 1, 4, 2, 2, 0, 3, 3, 4, 3, 3, 4, 0, 2, 1, 2, 4, 2, 0, 0, 3, 0, 2, 1, 3, 2, 2, 0, 3, 4, 3, 4, 1, 1, 0, 0, 2, 2, 0, 4, 1, 2, 1, 1, 3, 2, 4, 2, 2, 3, 0, 0, 4, 0, 0, 4, 2, 0, 2, 4, 4, 2, 1, 3, 1, 1, 1, 3, 3, 1, 4, 0, 1, 3, 4, 0, 3, 2, 1, 1, 1, 0, 0, 3, 1, 1, 1, 3, 1, 2, 0, 3, 1, 4, 1, 4, 3, 1, 2, 3, 1, 4, 1, 0, 3, 1, 2, 4, 2, 1, 4, 1, 3, 0, 1, 2, 4, 3, 2, 3, 4, 1, 2, 4, 1, 2, 4, 2, 4, 1, 3, 1, 4, 3, 2, 1, 4, 1, 3, 3, 4, 0, 2, 2, 4, 3, 3, 4, 3, 0, 1, 0, 4, 1, 4, 4, 2, 0, 4, 4, 3, 4, 4, 0, 3, 4, 2, 0, 1, 1, 1, 3, 1, 4, 1, 3, 1, 0, 4, 0, 1, 4, 3, 0, 3, 4, 4, 0, 0, 3, 2, 3, 4, 3, 4, 2, 2, 2, 0, 0, 1, 3, 1, 4, 2, 0, 0, 1, 4, 3, 0, 1, 4, 3, 0] pubkeycol1067 = [2, 3, 0, 4, 2, 2, 1, 0, 0, 4, 3, 3, 0, 0, 3, 2, 3, 1, 4, 4, 0, 0, 2, 1, 3, 4, 4, 4, 0, 3, 2, 4, 4, 1, 1, 3, 1, 4, 4, 3, 4, 3, 4, 4, 0, 4, 1, 2, 1, 3, 0, 1, 0, 1, 0, 0, 0, 4, 3, 4, 2, 0, 2, 1, 0, 2, 0, 4, 3, 3, 2, 2, 2, 3, 0, 0, 3, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 4, 1, 4, 1, 3, 0, 4, 1, 4, 1, 2, 0, 4, 3, 3, 1, 4, 2, 4, 1, 4, 4, 0, 3, 1, 0, 2, 3, 0, 2, 1, 3, 0, 0, 1, 3, 2, 2, 0, 3, 3, 2, 0, 3, 2, 4, 3, 2, 0, 2, 3, 2, 0, 3, 1, 3, 1, 0, 2, 4, 2, 1, 0, 2, 3, 4, 4, 3, 2, 4, 4, 4, 3, 4, 0, 3, 0, 0, 3, 3, 3, 4, 4, 0, 2, 4, 4, 3, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 3, 3, 0, 3, 0, 3, 4, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 3, 2, 2, 4, 3, 1, 2, 1, 0, 4, 0, 0, 0, 3, 1, 3, 4, 4, 4, 1, 4, 4, 0, 1, 0, 0, 2, 4, 2, 2, 2, 2, 0, 4, 0, 4, 4, 3, 1, 2, 3, 4, 4, 3, 0, 2, 3, 1, 0, 3, 3, 2, 2, 4, 4, 4, 2, 0, 3, 0, 2, 2, 4, 3, 0, 3, 2, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 2, 0, 1, 4, 1, 0, 4, 2, 1, 0, 1, 2, 1, 4, 3, 1, 0, 4, 2, 2, 4, 3, 0, 4, 1, 0, 3, 2, 2, 4, 3, 2, 1, 3, 1, 1, 0, 4, 3, 0, 3, 2, 3, 3, 4, 3, 3, 3, 2, 2, 4, 0, 4, 1, 0, 2, 2, 1, 0, 0, 1, 0, 4, 1, 0, 0, 0, 2, 1, 3, 4, 2, 3, 0, 4, 4, 1, 3, 3, 2, 1, 2, 4, 1, 0, 3, 4, 2, 0, 0, 3, 2, 2, 3, 4, 1, 3, 3, 1, 2, 0, 4, 2, 1, 0, 2, 1, 4, 2, 0, 0, 0, 0, 3, 3, 4, 4, 4, 2, 4, 4, 2, 1, 2, 2, 0, 4, 0, 3, 4, 1, 0, 4, 2, 2, 1, 2, 4, 2, 2, 0, 1, 4, 3, 2, 1, 4, 1, 2, 2, 2, 1, 3, 4, 0, 2, 4, 3, 0, 4, 1, 2, 1, 2, 0, 1, 0, 1, 4, 4, 2, 2, 2, 0, 1, 4, 1, 0, 1, 0, 3, 2, 4, 3, 1, 4, 2] pubkeycol1068 = [2, 4, 4, 4, 0, 3, 1, 4, 3, 3, 2, 0, 3, 3, 2, 1, 3, 2, 2, 1, 3, 2, 0, 3, 4, 3, 1, 3, 2, 0, 1, 1, 1, 3, 2, 1, 1, 2, 3, 3, 4, 3, 3, 4, 4, 1, 0, 3, 3, 4, 0, 0, 3, 3, 2, 3, 2, 0, 4, 1, 4, 4, 1, 2, 1, 3, 2, 3, 4, 0, 2, 4, 1, 3, 4, 1, 1, 1, 2, 4, 2, 0, 4, 1, 1, 4, 3, 0, 4, 3, 2, 4, 1, 2, 0, 2, 2, 3, 4, 0, 4, 0, 0, 3, 4, 4, 3, 1, 1, 2, 0, 4, 2, 4, 0, 0, 1, 3, 2, 2, 1, 4, 3, 1, 3, 3, 1, 2, 3, 4, 0, 4, 0, 1, 2, 4, 2, 1, 4, 0, 4, 3, 3, 2, 3, 1, 2, 1, 3, 2, 0, 2, 1, 3, 3, 0, 3, 2, 1, 1, 2, 3, 1, 1, 0, 2, 0, 4, 2, 3, 0, 0, 0, 2, 3, 2, 0, 0, 3, 4, 0, 4, 4, 4, 2, 0, 0, 2, 0, 1, 0, 0, 4, 2, 0, 1, 3, 3, 1, 0, 4, 4, 1, 2, 2, 0, 1, 4, 0, 2, 4, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 1, 0, 4, 2, 1, 0, 3, 2, 3, 3, 3, 2, 1, 4, 0, 0, 4, 4, 1, 2, 1, 4, 3, 1, 4, 1, 4, 0, 4, 2, 0, 2, 3, 0, 0, 4, 0, 3, 1, 1, 0, 2, 2, 2, 4, 4, 1, 2, 4, 1, 4, 0, 2, 2, 4, 0, 0, 3, 1, 1, 4, 1, 2, 2, 2, 2, 4, 0, 0, 0, 0, 2, 0, 1, 1, 3, 0, 3, 1, 4, 3, 2, 1, 2, 2, 4, 4, 1, 1, 2, 1, 3, 0, 4, 3, 1, 0, 0, 1, 2, 1, 1, 2, 4, 3, 2, 1, 1, 2, 0, 3, 0, 2, 0, 1, 3, 2, 2, 3, 3, 0, 4, 2, 2, 4, 1, 3, 0, 1, 1, 0, 4, 0, 1, 0, 1, 3, 4, 3, 4, 4, 2, 0, 2, 4, 0, 4, 3, 1, 2, 1, 4, 1, 2, 0, 0, 2, 0, 4, 1, 3, 2, 3, 3, 1, 0, 3, 3, 2, 3, 4, 0, 3, 1, 2, 0, 1, 0, 4, 4, 0, 1, 0, 1, 4, 4, 4, 4, 0, 4, 1, 3, 1, 0, 3, 3, 0, 2, 1, 3, 0, 3, 4, 0, 2, 4, 4, 1, 1, 4, 2, 2, 2, 4, 0, 1, 0, 0, 2, 0, 3, 4, 0, 4, 4, 0, 0, 1, 1, 3, 0, 2, 2, 2, 4, 1, 1, 1, 0, 3, 4, 0, 0, 1, 0, 4, 4, 4, 2, 0, 3, 2, 2, 4, 0, 3, 0, 0] pubkeycol1069 = [4, 1, 1, 1, 3, 0, 3, 3, 1, 0, 4, 3, 0, 3, 1, 4, 1, 4, 0, 0, 0, 1, 2, 0, 1, 4, 2, 0, 4, 3, 3, 0, 4, 2, 1, 3, 0, 3, 2, 2, 0, 2, 3, 1, 3, 4, 1, 0, 3, 3, 4, 3, 0, 0, 4, 2, 1, 0, 1, 1, 0, 4, 1, 1, 3, 1, 3, 2, 1, 4, 0, 1, 3, 3, 4, 4, 4, 4, 3, 1, 4, 4, 3, 1, 1, 2, 0, 3, 2, 1, 3, 3, 0, 1, 4, 4, 3, 2, 4, 0, 4, 3, 0, 3, 2, 1, 4, 0, 0, 4, 2, 4, 2, 1, 1, 3, 3, 3, 1, 3, 3, 4, 1, 2, 1, 1, 0, 4, 4, 3, 1, 2, 1, 1, 3, 4, 0, 3, 1, 2, 0, 4, 4, 1, 1, 0, 1, 3, 3, 2, 3, 2, 0, 2, 2, 2, 2, 1, 1, 0, 3, 3, 2, 1, 1, 2, 3, 3, 3, 4, 3, 4, 2, 0, 0, 3, 4, 3, 1, 3, 1, 0, 0, 0, 2, 1, 3, 0, 2, 1, 2, 3, 4, 3, 1, 2, 1, 1, 3, 0, 3, 3, 0, 2, 0, 3, 4, 2, 1, 0, 4, 4, 0, 3, 0, 3, 0, 4, 1, 1, 0, 1, 1, 3, 1, 1, 4, 3, 0, 4, 0, 0, 0, 0, 0, 1, 4, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 0, 2, 4, 2, 1, 4, 2, 4, 3, 4, 1, 1, 1, 3, 3, 0, 0, 2, 4, 3, 1, 0, 2, 1, 3, 4, 4, 4, 0, 3, 4, 2, 3, 4, 3, 1, 4, 3, 2, 0, 0, 4, 3, 4, 4, 4, 0, 1, 4, 4, 1, 2, 2, 3, 1, 4, 4, 0, 2, 3, 3, 1, 2, 1, 4, 0, 1, 2, 2, 2, 3, 2, 3, 0, 3, 4, 4, 0, 0, 3, 2, 4, 4, 4, 2, 3, 1, 2, 1, 2, 2, 3, 1, 1, 3, 3, 2, 3, 3, 4, 1, 0, 4, 2, 1, 2, 1, 2, 3, 4, 1, 3, 2, 3, 2, 2, 1, 0, 0, 2, 1, 3, 1, 2, 3, 2, 4, 1, 4, 3, 1, 2, 1, 2, 2, 3, 1, 4, 0, 2, 2, 0, 3, 3, 0, 2, 3, 2, 2, 0, 2, 3, 2, 0, 4, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 3, 3, 2, 3, 2, 0, 1, 4, 3, 1, 2, 3, 4, 4, 3, 2, 2, 2, 3, 3, 2, 1, 0, 2, 4, 0, 2, 3, 1, 2, 4, 0, 0, 2, 0, 3, 2, 2, 3, 3, 1, 4, 4, 4, 2, 2, 4, 4, 0, 1, 1, 3, 1, 3, 4, 3, 1, 0, 0, 2, 3, 3, 2, 1, 4, 2, 0] pubkeycol1070 = [4, 3, 0, 2, 1, 0, 0, 2, 4, 4, 3, 1, 4, 1, 4, 3, 0, 2, 0, 0, 4, 4, 1, 4, 3, 3, 2, 2, 3, 0, 4, 0, 0, 1, 0, 1, 0, 3, 2, 0, 1, 4, 4, 1, 3, 1, 1, 3, 4, 0, 2, 2, 2, 0, 2, 1, 3, 0, 3, 3, 0, 0, 1, 4, 2, 0, 4, 0, 1, 3, 0, 0, 4, 1, 4, 4, 2, 4, 2, 3, 4, 3, 3, 1, 0, 3, 0, 1, 1, 4, 1, 3, 3, 0, 3, 0, 1, 1, 0, 1, 2, 2, 4, 3, 2, 4, 4, 2, 0, 0, 0, 1, 1, 1, 0, 4, 2, 2, 3, 0, 1, 1, 0, 4, 4, 1, 4, 2, 0, 3, 0, 3, 4, 2, 1, 3, 1, 4, 4, 1, 0, 1, 3, 3, 1, 4, 3, 0, 3, 1, 0, 3, 0, 4, 2, 3, 2, 3, 1, 1, 4, 3, 4, 3, 0, 2, 2, 4, 0, 4, 1, 1, 1, 3, 3, 4, 1, 1, 4, 3, 1, 4, 0, 2, 2, 3, 0, 3, 3, 2, 2, 1, 3, 1, 0, 3, 3, 2, 2, 4, 2, 0, 1, 4, 0, 3, 1, 3, 0, 0, 1, 0, 4, 3, 3, 0, 4, 0, 2, 2, 1, 0, 4, 3, 2, 4, 1, 2, 4, 0, 2, 2, 1, 2, 4, 0, 1, 2, 2, 0, 3, 1, 0, 2, 4, 3, 4, 1, 2, 2, 3, 0, 2, 3, 4, 3, 4, 2, 0, 3, 2, 4, 1, 1, 0, 0, 0, 0, 1, 2, 4, 1, 2, 3, 4, 2, 2, 0, 3, 4, 0, 4, 0, 4, 2, 0, 1, 2, 2, 4, 2, 4, 1, 3, 3, 0, 0, 0, 0, 2, 4, 1, 2, 1, 4, 2, 2, 1, 2, 1, 0, 1, 1, 4, 2, 3, 1, 0, 2, 0, 2, 4, 3, 3, 1, 0, 4, 1, 1, 1, 1, 2, 4, 2, 4, 0, 2, 4, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 4, 4, 3, 0, 0, 0, 4, 0, 3, 1, 1, 4, 4, 0, 1, 3, 3, 3, 1, 1, 3, 0, 1, 2, 4, 2, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 4, 2, 2, 2, 0, 4, 2, 3, 3, 3, 4, 3, 4, 2, 3, 4, 0, 4, 3, 1, 2, 4, 3, 1, 1, 0, 3, 0, 1, 3, 4, 0, 3, 4, 4, 4, 0, 0, 2, 3, 3, 1, 4, 0, 2, 0, 1, 1, 3, 4, 1, 2, 0, 3, 2, 4, 1, 1, 4, 0, 4, 2, 2, 1, 1, 4, 0, 2, 1, 3, 2, 4, 4, 1, 3, 3, 3, 4, 3, 4, 1, 3, 0, 3, 4, 1, 3, 1, 1, 1, 3, 0] pubkeycol1071 = [1, 0, 1, 2, 3, 1, 4, 4, 2, 2, 4, 2, 2, 1, 1, 1, 0, 2, 4, 4, 4, 1, 4, 2, 4, 0, 4, 2, 4, 3, 4, 2, 4, 3, 2, 0, 0, 3, 2, 1, 2, 2, 3, 0, 2, 3, 1, 2, 2, 3, 2, 4, 2, 0, 2, 0, 0, 0, 4, 0, 3, 3, 3, 1, 1, 3, 1, 3, 0, 1, 0, 0, 3, 4, 0, 2, 1, 2, 1, 4, 3, 0, 0, 3, 1, 4, 0, 3, 3, 3, 2, 0, 3, 0, 2, 2, 0, 0, 2, 2, 4, 4, 1, 0, 0, 2, 4, 2, 1, 4, 3, 4, 0, 0, 0, 0, 0, 4, 3, 2, 0, 1, 2, 2, 0, 0, 3, 4, 3, 1, 2, 1, 1, 0, 2, 1, 1, 2, 4, 4, 0, 2, 4, 1, 0, 2, 4, 2, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 0, 3, 2, 4, 1, 3, 2, 3, 4, 1, 0, 4, 1, 2, 2, 2, 0, 4, 4, 1, 0, 1, 1, 2, 3, 3, 0, 3, 0, 1, 1, 1, 4, 2, 4, 0, 1, 0, 4, 3, 1, 0, 3, 1, 3, 1, 3, 0, 1, 3, 3, 0, 0, 3, 2, 0, 1, 3, 3, 2, 0, 2, 1, 3, 0, 4, 0, 1, 4, 1, 2, 3, 3, 1, 0, 3, 1, 1, 2, 3, 4, 3, 3, 3, 3, 3, 1, 4, 1, 0, 3, 3, 3, 1, 3, 3, 1, 3, 4, 1, 2, 0, 0, 1, 4, 2, 1, 2, 2, 4, 3, 4, 1, 0, 4, 2, 4, 1, 4, 4, 3, 4, 1, 3, 2, 4, 1, 0, 4, 0, 4, 4, 3, 0, 4, 1, 4, 4, 1, 3, 1, 2, 1, 2, 2, 4, 2, 2, 4, 0, 3, 2, 3, 4, 0, 4, 1, 2, 4, 4, 3, 3, 0, 3, 4, 4, 3, 4, 4, 3, 0, 0, 1, 1, 4, 4, 2, 0, 2, 0, 3, 4, 3, 3, 3, 0, 2, 2, 1, 0, 0, 3, 2, 2, 1, 4, 1, 0, 3, 3, 3, 2, 1, 0, 3, 4, 0, 0, 1, 0, 4, 3, 2, 2, 3, 3, 1, 2, 1, 4, 3, 4, 1, 0, 4, 1, 4, 4, 0, 1, 4, 1, 1, 4, 2, 2, 4, 3, 3, 1, 3, 3, 0, 1, 4, 1, 4, 4, 4, 3, 1, 3, 4, 2, 2, 4, 0, 1, 4, 1, 2, 3, 2, 4, 3, 4, 4, 1, 2, 3, 1, 1, 0, 3, 3, 2, 1, 0, 3, 1, 2, 0, 0, 3, 3, 3, 1, 2, 0, 0, 4, 1, 3, 2, 0, 2, 4, 1, 0, 0, 2, 3, 2, 0, 2, 3, 4, 1, 1, 4, 2, 1, 4, 0, 0, 4, 1, 4, 3, 2, 2, 1] pubkeycol1072 = [3, 1, 1, 3, 4, 0, 3, 2, 2, 0, 4, 0, 1, 4, 4, 4, 1, 4, 1, 0, 4, 0, 2, 3, 3, 1, 0, 2, 2, 0, 2, 2, 1, 2, 3, 1, 0, 0, 1, 0, 4, 4, 3, 4, 1, 0, 2, 4, 3, 3, 3, 4, 2, 3, 0, 0, 0, 4, 3, 3, 4, 3, 4, 3, 0, 1, 0, 4, 3, 3, 2, 0, 0, 4, 4, 0, 2, 3, 1, 0, 1, 0, 0, 4, 0, 0, 3, 1, 2, 4, 0, 2, 4, 2, 3, 1, 4, 3, 0, 1, 4, 1, 1, 0, 0, 3, 2, 3, 2, 3, 3, 2, 4, 1, 3, 3, 4, 1, 4, 2, 2, 2, 1, 2, 3, 1, 1, 0, 3, 3, 4, 3, 0, 0, 0, 2, 3, 2, 0, 0, 0, 2, 3, 4, 1, 4, 1, 3, 2, 3, 0, 4, 1, 1, 2, 0, 2, 4, 1, 0, 0, 1, 4, 1, 3, 0, 4, 2, 0, 1, 2, 0, 1, 2, 0, 1, 4, 1, 3, 1, 3, 4, 1, 4, 0, 1, 3, 3, 3, 1, 1, 2, 2, 2, 1, 1, 3, 3, 2, 1, 0, 2, 1, 0, 2, 3, 4, 2, 4, 2, 2, 1, 4, 2, 1, 1, 4, 2, 3, 1, 1, 0, 0, 2, 0, 3, 2, 0, 1, 2, 1, 4, 2, 1, 3, 1, 2, 3, 2, 3, 4, 3, 0, 2, 2, 3, 1, 1, 4, 0, 2, 4, 0, 2, 3, 1, 1, 1, 1, 4, 3, 0, 1, 3, 2, 3, 4, 1, 0, 0, 0, 3, 4, 3, 3, 2, 2, 4, 1, 4, 2, 0, 4, 4, 1, 0, 2, 3, 4, 2, 4, 0, 4, 0, 4, 3, 3, 1, 1, 1, 1, 0, 3, 0, 3, 2, 3, 0, 0, 2, 0, 2, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 4, 2, 2, 1, 3, 0, 3, 1, 2, 3, 4, 3, 0, 0, 3, 1, 2, 4, 0, 3, 0, 3, 1, 1, 2, 0, 0, 3, 3, 2, 4, 1, 0, 2, 2, 2, 2, 2, 3, 4, 2, 0, 1, 4, 2, 1, 0, 2, 3, 2, 3, 4, 3, 2, 3, 0, 1, 2, 1, 2, 0, 4, 0, 3, 3, 4, 0, 0, 0, 4, 0, 2, 0, 4, 0, 1, 0, 3, 0, 1, 2, 0, 0, 1, 0, 3, 1, 1, 2, 3, 0, 0, 3, 1, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 1, 3, 3, 3, 2, 2, 0, 3, 2, 1, 0, 1, 0, 0, 3, 1, 1, 0, 2, 0, 3, 3, 0, 3, 3, 4, 2, 3, 1, 4, 1, 2, 1, 3, 0, 1, 3, 1, 1, 4, 1, 3, 3, 4, 4, 0, 0] pubkeycol1073 = [3, 1, 1, 3, 2, 1, 2, 1, 3, 0, 2, 4, 3, 2, 1, 0, 2, 4, 2, 1, 3, 4, 4, 1, 0, 3, 0, 0, 4, 0, 2, 3, 1, 1, 1, 1, 1, 2, 4, 1, 4, 3, 2, 4, 3, 4, 4, 4, 0, 0, 0, 2, 1, 2, 4, 0, 1, 1, 1, 1, 1, 3, 2, 4, 0, 0, 4, 0, 1, 0, 2, 2, 4, 1, 4, 1, 0, 3, 4, 4, 3, 2, 3, 0, 0, 0, 2, 1, 1, 4, 1, 0, 1, 4, 0, 3, 1, 4, 4, 1, 3, 2, 2, 1, 2, 0, 0, 4, 3, 3, 1, 1, 1, 2, 0, 3, 3, 3, 0, 2, 0, 2, 4, 2, 0, 1, 3, 0, 4, 0, 0, 1, 3, 4, 0, 1, 0, 2, 3, 2, 1, 1, 3, 2, 2, 3, 4, 2, 1, 4, 0, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 2, 4, 2, 0, 4, 1, 2, 2, 1, 2, 4, 3, 1, 1, 0, 0, 3, 3, 1, 2, 4, 4, 4, 1, 4, 3, 1, 0, 3, 4, 2, 1, 0, 4, 3, 1, 3, 3, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 3, 3, 1, 0, 3, 3, 4, 2, 2, 3, 3, 2, 1, 3, 0, 1, 4, 1, 3, 3, 4, 2, 3, 2, 3, 1, 3, 2, 2, 4, 0, 1, 3, 2, 4, 1, 4, 1, 3, 2, 1, 4, 4, 0, 2, 1, 2, 4, 1, 3, 3, 2, 0, 3, 4, 4, 4, 3, 3, 2, 3, 2, 4, 0, 4, 2, 3, 3, 3, 3, 2, 4, 3, 2, 4, 4, 1, 2, 3, 2, 1, 4, 4, 3, 2, 2, 0, 1, 0, 4, 3, 4, 0, 0, 2, 2, 4, 1, 4, 2, 4, 0, 0, 1, 2, 4, 2, 1, 0, 0, 3, 0, 4, 2, 0, 0, 0, 2, 3, 3, 0, 3, 0, 1, 1, 2, 3, 2, 4, 0, 3, 2, 2, 4, 3, 0, 0, 3, 0, 0, 4, 2, 1, 4, 2, 3, 0, 2, 4, 4, 1, 1, 3, 4, 1, 3, 3, 3, 2, 3, 4, 4, 4, 1, 3, 3, 4, 3, 3, 2, 1, 3, 0, 2, 3, 3, 4, 0, 0, 4, 4, 1, 4, 1, 0, 4, 0, 3, 2, 3, 3, 0, 0, 4, 2, 0, 2, 1, 3, 0, 0, 1, 1, 3, 0, 1, 1, 0, 0, 1, 1, 0, 1, 3, 0, 0, 0, 1, 0, 4, 0, 0, 3, 2, 3, 4, 2, 3, 1, 4, 2, 1, 3, 0, 1, 3, 4, 3, 3, 3, 1, 4, 0, 0, 1, 1, 1, 3, 2, 0, 1, 3, 2, 3, 4, 4, 1, 1, 0, 2, 3, 3, 4, 2, 2, 2, 3, 0, 0] pubkeycol1074 = [0, 0, 3, 0, 1, 3, 1, 4, 0, 2, 1, 3, 0, 1, 0, 3, 1, 1, 0, 0, 0, 3, 2, 0, 2, 4, 1, 3, 0, 2, 2, 3, 4, 0, 3, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 3, 0, 2, 1, 4, 4, 3, 0, 2, 1, 4, 2, 3, 2, 3, 0, 3, 1, 2, 0, 3, 3, 0, 0, 4, 2, 2, 0, 0, 4, 2, 3, 0, 0, 1, 2, 1, 3, 2, 3, 0, 0, 4, 4, 3, 3, 3, 3, 1, 1, 0, 0, 1, 3, 0, 3, 2, 1, 3, 3, 1, 3, 4, 1, 3, 0, 1, 1, 3, 1, 0, 0, 4, 4, 1, 1, 1, 2, 3, 2, 3, 2, 0, 2, 4, 2, 4, 2, 4, 2, 3, 0, 4, 1, 1, 1, 3, 2, 3, 3, 3, 0, 2, 1, 2, 2, 4, 1, 2, 3, 4, 1, 0, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 3, 0, 4, 3, 4, 4, 4, 1, 2, 4, 4, 3, 1, 0, 3, 4, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 3, 1, 3, 2, 2, 3, 3, 4, 2, 1, 4, 0, 4, 3, 3, 3, 1, 1, 3, 0, 1, 2, 2, 0, 3, 2, 1, 2, 3, 1, 0, 0, 0, 4, 1, 2, 0, 2, 2, 3, 0, 2, 0, 2, 1, 0, 3, 0, 4, 2, 3, 4, 0, 2, 2, 0, 3, 2, 0, 3, 3, 2, 1, 0, 1, 0, 1, 4, 4, 1, 3, 2, 3, 3, 3, 4, 3, 4, 3, 0, 1, 3, 2, 0, 1, 1, 1, 3, 4, 4, 3, 4, 4, 3, 1, 3, 0, 0, 2, 3, 4, 3, 3, 2, 4, 2, 2, 4, 2, 0, 3, 3, 3, 3, 1, 2, 1, 0, 3, 1, 0, 4, 4, 1, 4, 4, 2, 4, 0, 4, 0, 2, 2, 3, 0, 1, 1, 2, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 2, 3, 0, 1, 4, 1, 0, 2, 1, 0, 4, 4, 1, 1, 2, 0, 1, 4, 0, 4, 2, 3, 3, 3, 3, 4, 2, 4, 4, 1, 4, 3, 0, 4, 2, 2, 4, 4, 4, 0, 0, 4, 3, 4, 2, 1, 0, 1, 4, 1, 4, 1, 2, 1, 0, 0, 3, 4, 1, 2, 0, 0, 3, 3, 2, 1, 4, 4, 4, 3, 0, 1, 0, 0, 1, 2, 4, 2, 1, 0, 3, 0, 4, 2, 0, 2, 0, 2, 0, 0, 3, 0, 0, 4, 4, 3, 2, 1, 0, 2, 0, 3, 3, 0, 2, 1, 4, 0, 3, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 4, 1, 4, 0, 2, 4, 0, 1, 3, 2, 3, 2, 0, 2] pubkeycol1075 = [4, 2, 0, 3, 4, 3, 2, 2, 0, 3, 2, 3, 0, 0, 1, 4, 3, 4, 4, 2, 1, 2, 2, 2, 4, 3, 1, 1, 4, 2, 4, 3, 2, 4, 2, 4, 1, 2, 3, 3, 4, 1, 2, 0, 0, 1, 3, 1, 3, 4, 0, 1, 0, 4, 1, 3, 2, 4, 4, 1, 1, 2, 2, 0, 2, 0, 1, 4, 3, 4, 3, 4, 4, 3, 2, 2, 1, 2, 1, 3, 4, 1, 2, 2, 4, 4, 2, 1, 1, 4, 2, 0, 0, 4, 3, 2, 0, 4, 1, 3, 0, 4, 3, 4, 3, 4, 4, 2, 4, 4, 4, 3, 3, 2, 2, 4, 2, 1, 2, 0, 2, 1, 3, 3, 0, 4, 0, 2, 2, 0, 4, 0, 4, 4, 2, 4, 0, 2, 3, 0, 0, 1, 0, 2, 0, 2, 1, 2, 3, 2, 0, 3, 3, 4, 0, 2, 2, 2, 1, 0, 3, 1, 1, 2, 0, 1, 0, 1, 1, 4, 3, 2, 3, 3, 4, 3, 1, 4, 3, 3, 0, 3, 2, 2, 1, 0, 4, 0, 0, 3, 3, 0, 0, 2, 3, 4, 4, 3, 1, 4, 2, 2, 0, 4, 0, 0, 2, 2, 2, 1, 2, 1, 4, 2, 3, 4, 4, 2, 2, 4, 2, 3, 4, 1, 1, 1, 2, 3, 2, 1, 3, 4, 0, 0, 2, 4, 4, 0, 3, 4, 1, 1, 0, 3, 4, 1, 3, 4, 0, 0, 4, 0, 0, 1, 1, 0, 0, 3, 1, 0, 0, 3, 4, 1, 1, 1, 2, 4, 2, 0, 3, 3, 3, 3, 0, 2, 4, 4, 2, 0, 0, 3, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 4, 3, 1, 1, 0, 4, 0, 1, 2, 0, 1, 1, 3, 1, 0, 3, 0, 1, 3, 4, 2, 4, 1, 2, 3, 0, 1, 2, 3, 2, 2, 0, 1, 3, 0, 2, 0, 1, 3, 1, 1, 4, 0, 4, 3, 1, 2, 2, 2, 2, 0, 2, 3, 3, 0, 4, 4, 1, 1, 3, 4, 0, 3, 2, 4, 4, 2, 1, 4, 4, 0, 4, 2, 2, 0, 4, 0, 4, 3, 3, 2, 2, 4, 3, 4, 3, 3, 2, 2, 0, 0, 2, 4, 3, 3, 1, 0, 3, 3, 4, 1, 3, 4, 2, 1, 3, 3, 2, 1, 1, 3, 1, 1, 1, 0, 2, 3, 1, 1, 3, 0, 4, 4, 1, 2, 4, 2, 4, 3, 4, 1, 0, 4, 4, 4, 3, 2, 1, 4, 3, 0, 0, 2, 3, 2, 1, 1, 0, 3, 2, 4, 0, 4, 3, 1, 1, 1, 3, 0, 4, 2, 4, 0, 2, 3, 1, 0, 3, 4, 0, 0, 3, 1, 3, 4, 3, 0, 4, 3, 1, 4, 4, 0, 1, 2, 4, 2, 0] pubkeycol1076 = [0, 1, 1, 0, 0, 1, 3, 3, 2, 2, 0, 3, 1, 0, 3, 4, 1, 3, 0, 4, 4, 0, 1, 0, 3, 4, 4, 1, 2, 0, 2, 1, 2, 1, 1, 2, 3, 0, 2, 3, 0, 1, 3, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 3, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 3, 2, 2, 0, 2, 4, 0, 1, 4, 0, 2, 0, 2, 1, 4, 3, 0, 4, 1, 2, 1, 1, 2, 2, 4, 4, 1, 1, 1, 2, 0, 4, 3, 4, 1, 0, 1, 0, 3, 4, 0, 4, 0, 1, 2, 4, 4, 4, 3, 2, 0, 1, 1, 1, 4, 4, 4, 0, 4, 4, 0, 0, 3, 4, 2, 1, 3, 4, 3, 1, 0, 4, 3, 4, 2, 2, 2, 2, 2, 0, 3, 1, 4, 4, 0, 3, 1, 1, 4, 1, 3, 1, 4, 1, 3, 1, 0, 3, 2, 4, 1, 0, 1, 3, 2, 4, 0, 3, 3, 4, 4, 4, 1, 1, 4, 1, 2, 3, 1, 4, 0, 4, 4, 3, 2, 1, 3, 4, 1, 2, 0, 3, 0, 4, 2, 0, 3, 3, 4, 0, 2, 4, 0, 2, 0, 0, 3, 2, 0, 3, 2, 1, 0, 0, 1, 2, 2, 4, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 0, 4, 4, 3, 0, 3, 0, 4, 3, 3, 4, 1, 3, 2, 3, 0, 1, 1, 3, 1, 2, 4, 4, 4, 1, 4, 3, 1, 3, 4, 0, 1, 2, 1, 4, 0, 1, 2, 4, 2, 0, 3, 4, 1, 3, 1, 2, 1, 1, 4, 2, 4, 4, 1, 0, 3, 3, 2, 3, 1, 2, 2, 4, 0, 3, 3, 4, 4, 3, 4, 3, 4, 0, 2, 0, 0, 0, 4, 4, 0, 0, 1, 4, 0, 2, 2, 3, 4, 0, 3, 1, 3, 4, 2, 4, 3, 3, 4, 3, 0, 2, 4, 2, 4, 2, 2, 1, 2, 4, 2, 0, 2, 0, 0, 1, 0, 0, 4, 2, 1, 0, 3, 1, 0, 2, 0, 3, 4, 1, 0, 1, 3, 3, 4, 4, 2, 3, 4, 2, 0, 0, 3, 0, 2, 0, 3, 4, 3, 4, 1, 3, 3, 2, 3, 2, 4, 4, 2, 2, 4, 3, 2, 1, 2, 1, 4, 2, 3, 3, 3, 4, 3, 0, 4, 2, 3, 3, 0, 1, 3, 2, 3, 1, 2, 4, 4, 4, 3, 0, 3, 0, 0, 1, 4, 3, 4, 4, 4, 1, 3, 2, 4, 4, 0, 3, 0, 4, 4, 1, 1, 3, 4, 3, 3, 0, 3, 4, 1, 2, 1, 1, 0, 1, 4, 2, 1, 3, 1, 0, 3, 0, 1, 2, 0, 2, 4, 3, 2, 0, 2, 2, 1, 2, 4, 0, 3] pubkeycol1077 = [0, 1, 3, 2, 1, 2, 0, 1, 1, 2, 3, 3, 3, 1, 3, 3, 4, 4, 4, 0, 3, 0, 1, 0, 4, 3, 2, 2, 3, 1, 0, 3, 1, 1, 0, 1, 0, 3, 0, 1, 1, 3, 1, 4, 3, 2, 1, 2, 1, 0, 0, 1, 2, 3, 2, 0, 3, 4, 2, 0, 4, 4, 3, 4, 4, 1, 3, 3, 1, 4, 4, 0, 2, 4, 1, 2, 3, 0, 0, 4, 1, 2, 1, 0, 1, 2, 2, 2, 3, 3, 2, 0, 4, 3, 3, 0, 0, 3, 2, 1, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 2, 4, 0, 3, 1, 2, 3, 1, 4, 2, 4, 2, 3, 4, 1, 1, 4, 0, 4, 4, 2, 1, 3, 2, 0, 3, 3, 0, 3, 4, 1, 4, 4, 1, 4, 1, 3, 0, 2, 3, 3, 2, 1, 1, 3, 0, 2, 0, 3, 2, 3, 2, 3, 1, 1, 4, 3, 0, 0, 2, 3, 3, 3, 2, 1, 4, 1, 4, 4, 2, 0, 1, 3, 4, 2, 4, 2, 3, 1, 1, 0, 0, 3, 4, 4, 0, 1, 4, 1, 1, 3, 2, 0, 3, 4, 2, 0, 0, 1, 0, 2, 4, 0, 4, 4, 0, 0, 0, 0, 1, 0, 1, 0, 0, 4, 2, 0, 0, 3, 2, 1, 2, 4, 3, 4, 0, 2, 0, 1, 0, 4, 0, 0, 1, 1, 4, 1, 1, 4, 3, 3, 1, 0, 2, 3, 4, 3, 3, 3, 1, 0, 3, 2, 0, 4, 1, 0, 3, 2, 3, 0, 3, 3, 0, 0, 2, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 1, 4, 2, 3, 2, 1, 0, 4, 1, 2, 2, 0, 4, 3, 3, 3, 3, 3, 2, 4, 3, 3, 1, 2, 3, 2, 4, 1, 4, 1, 2, 2, 1, 1, 1, 2, 3, 3, 2, 3, 2, 1, 1, 2, 3, 3, 4, 2, 2, 0, 2, 0, 3, 1, 3, 2, 4, 4, 2, 2, 1, 0, 1, 4, 4, 0, 0, 2, 2, 0, 4, 0, 1, 1, 3, 0, 1, 2, 4, 0, 1, 1, 4, 1, 4, 2, 3, 1, 2, 0, 0, 3, 3, 0, 4, 4, 1, 1, 0, 4, 0, 3, 2, 2, 4, 2, 0, 1, 2, 2, 1, 4, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 3, 4, 0, 4, 4, 4, 0, 3, 3, 1, 4, 4, 2, 1, 4, 3, 0, 4, 2, 1, 4, 0, 1, 2, 2, 2, 3, 4, 0, 0, 4, 3, 4, 1, 4, 0, 2, 2, 2, 4, 1, 2, 2, 0, 3, 1, 4, 4, 4, 4, 2, 0, 0, 1, 0, 0, 4, 0, 4, 3, 3, 1, 1, 0, 2, 0, 2, 4, 3] pubkeycol1078 = [3, 4, 0, 4, 2, 4, 1, 1, 3, 2, 2, 0, 0, 0, 2, 1, 3, 3, 4, 0, 1, 3, 3, 4, 4, 1, 0, 1, 3, 4, 4, 3, 4, 4, 4, 0, 0, 4, 4, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 3, 1, 1, 0, 4, 4, 4, 0, 2, 1, 4, 1, 4, 1, 0, 3, 2, 2, 3, 3, 1, 4, 0, 4, 0, 4, 1, 0, 1, 4, 3, 2, 0, 3, 3, 0, 4, 3, 4, 2, 2, 1, 1, 3, 0, 4, 2, 0, 2, 4, 4, 1, 0, 0, 3, 2, 2, 0, 3, 2, 0, 4, 2, 4, 4, 0, 3, 0, 4, 2, 1, 2, 1, 4, 3, 1, 4, 0, 3, 2, 1, 2, 4, 2, 4, 0, 4, 3, 2, 1, 0, 3, 0, 1, 0, 3, 3, 1, 0, 2, 4, 0, 3, 4, 0, 2, 4, 1, 4, 1, 2, 0, 1, 4, 4, 2, 2, 0, 4, 4, 3, 0, 0, 2, 3, 3, 3, 3, 1, 1, 2, 0, 2, 0, 0, 4, 2, 4, 2, 4, 1, 0, 4, 3, 2, 3, 0, 4, 1, 3, 4, 4, 1, 3, 1, 0, 2, 3, 4, 0, 4, 2, 3, 4, 4, 2, 1, 4, 1, 4, 3, 2, 3, 1, 0, 1, 4, 0, 4, 4, 2, 0, 4, 4, 0, 0, 2, 3, 1, 2, 1, 3, 0, 2, 0, 4, 3, 4, 2, 0, 2, 1, 3, 2, 1, 3, 4, 0, 4, 1, 3, 0, 4, 2, 3, 2, 3, 2, 3, 3, 3, 3, 0, 3, 1, 3, 0, 4, 3, 3, 3, 0, 3, 3, 3, 1, 1, 2, 1, 3, 0, 4, 3, 2, 1, 4, 4, 1, 0, 4, 0, 3, 3, 1, 0, 3, 2, 3, 0, 4, 1, 2, 0, 0, 1, 0, 1, 3, 0, 1, 1, 1, 1, 0, 1, 4, 3, 3, 1, 0, 0, 1, 0, 2, 4, 2, 4, 4, 1, 2, 2, 1, 1, 4, 4, 4, 3, 2, 3, 4, 3, 0, 1, 1, 4, 4, 1, 1, 0, 0, 0, 4, 1, 2, 2, 3, 1, 0, 4, 4, 3, 0, 2, 1, 4, 0, 2, 0, 1, 0, 2, 2, 1, 1, 3, 2, 0, 3, 0, 1, 0, 0, 4, 1, 2, 1, 3, 4, 0, 2, 3, 0, 3, 1, 0, 2, 3, 1, 4, 4, 1, 1, 0, 3, 0, 0, 1, 3, 1, 0, 1, 0, 1, 1, 0, 2, 0, 3, 1, 3, 4, 2, 0, 4, 2, 4, 2, 1, 0, 0, 4, 3, 4, 0, 4, 1, 3, 0, 1, 4, 4, 1, 2, 2, 1, 4, 0, 4, 0, 3, 0, 0, 0, 2, 1, 2, 1, 3, 1, 4, 1, 1, 3, 2, 3, 0, 0, 1] pubkeycol1079 = [1, 2, 4, 3, 0, 2, 2, 0, 0, 1, 3, 2, 3, 3, 0, 2, 0, 0, 3, 0, 3, 1, 4, 1, 1, 1, 2, 4, 4, 4, 0, 1, 3, 3, 3, 4, 4, 0, 0, 2, 2, 3, 3, 3, 0, 1, 3, 3, 0, 0, 0, 0, 2, 0, 1, 1, 1, 4, 1, 0, 4, 0, 1, 0, 3, 2, 3, 2, 0, 2, 1, 4, 2, 4, 3, 1, 0, 3, 3, 4, 2, 0, 0, 4, 0, 4, 1, 0, 2, 1, 0, 1, 4, 1, 1, 3, 3, 1, 4, 0, 4, 4, 3, 2, 3, 0, 0, 1, 1, 4, 1, 0, 0, 0, 3, 4, 4, 3, 0, 4, 4, 1, 4, 1, 1, 2, 2, 0, 3, 2, 4, 0, 0, 0, 2, 3, 4, 1, 3, 4, 1, 4, 4, 3, 3, 0, 2, 1, 4, 4, 4, 0, 3, 3, 0, 0, 2, 3, 2, 0, 4, 4, 1, 3, 2, 3, 2, 2, 0, 3, 0, 0, 0, 2, 4, 4, 2, 2, 2, 1, 4, 2, 4, 0, 3, 2, 2, 0, 2, 1, 0, 0, 1, 0, 3, 0, 0, 0, 4, 3, 2, 1, 1, 0, 2, 0, 0, 2, 4, 4, 4, 4, 1, 0, 3, 1, 4, 3, 1, 3, 2, 4, 2, 3, 4, 0, 4, 1, 0, 3, 3, 3, 1, 2, 3, 0, 1, 4, 0, 3, 2, 4, 2, 0, 3, 1, 1, 4, 0, 0, 3, 4, 3, 4, 0, 1, 3, 4, 2, 1, 0, 0, 4, 4, 0, 0, 4, 2, 1, 1, 1, 2, 2, 3, 4, 3, 1, 1, 0, 0, 0, 0, 1, 4, 3, 4, 3, 1, 4, 4, 0, 4, 3, 1, 4, 4, 1, 2, 0, 2, 2, 3, 0, 1, 0, 4, 1, 3, 4, 2, 3, 1, 2, 0, 3, 4, 3, 2, 4, 0, 0, 3, 4, 3, 2, 4, 1, 1, 3, 0, 4, 4, 1, 4, 1, 0, 3, 1, 3, 4, 3, 2, 4, 1, 2, 4, 1, 1, 2, 1, 2, 1, 2, 3, 3, 4, 0, 4, 0, 4, 1, 1, 1, 0, 0, 1, 1, 4, 1, 4, 0, 2, 2, 4, 0, 1, 1, 0, 1, 0, 4, 0, 2, 3, 3, 0, 0, 3, 4, 1, 1, 0, 4, 2, 3, 0, 1, 0, 4, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 0, 1, 1, 3, 2, 1, 1, 3, 3, 3, 1, 0, 0, 2, 1, 0, 1, 4, 4, 0, 3, 2, 3, 2, 2, 4, 1, 3, 2, 1, 2, 4, 1, 2, 0, 3, 2, 1, 4, 1, 3, 2, 0, 4, 3, 0, 1, 2, 0, 4, 0, 4, 3, 3, 0, 4, 4, 3, 2, 4, 3, 2, 1, 1, 0] pubkeycol1080 = [1, 1, 3, 4, 3, 0, 3, 0, 3, 0, 3, 4, 3, 4, 2, 3, 4, 3, 0, 3, 0, 4, 0, 0, 4, 2, 4, 4, 0, 3, 1, 3, 1, 2, 4, 0, 3, 2, 3, 0, 4, 2, 0, 2, 1, 0, 0, 4, 1, 3, 1, 2, 3, 1, 2, 1, 4, 1, 4, 3, 1, 1, 1, 1, 3, 2, 0, 3, 1, 4, 3, 4, 2, 2, 4, 3, 4, 0, 4, 2, 2, 4, 0, 4, 1, 0, 4, 0, 4, 3, 4, 1, 4, 4, 0, 4, 0, 0, 3, 0, 2, 2, 2, 2, 3, 3, 4, 2, 3, 2, 2, 2, 2, 4, 4, 4, 2, 2, 1, 2, 4, 1, 4, 1, 3, 3, 3, 2, 0, 3, 4, 2, 0, 4, 3, 1, 2, 1, 2, 4, 1, 3, 3, 1, 0, 4, 1, 1, 3, 4, 4, 1, 4, 1, 4, 0, 0, 3, 2, 0, 2, 3, 1, 3, 2, 2, 3, 1, 0, 3, 0, 2, 2, 4, 1, 0, 1, 3, 1, 4, 0, 2, 2, 4, 0, 4, 4, 1, 2, 0, 4, 2, 4, 3, 2, 0, 1, 4, 1, 1, 3, 4, 2, 0, 3, 4, 3, 2, 1, 2, 1, 0, 2, 1, 1, 3, 3, 1, 4, 0, 4, 2, 3, 3, 1, 4, 2, 3, 3, 1, 2, 3, 3, 0, 2, 0, 0, 2, 0, 0, 4, 0, 4, 2, 1, 1, 2, 0, 2, 4, 0, 0, 0, 0, 3, 1, 4, 2, 3, 0, 2, 3, 1, 4, 0, 0, 2, 0, 3, 2, 1, 3, 4, 0, 0, 3, 0, 4, 2, 1, 1, 2, 2, 3, 3, 0, 1, 0, 1, 2, 3, 1, 4, 1, 0, 1, 4, 3, 3, 3, 3, 0, 0, 3, 0, 4, 0, 3, 0, 4, 1, 4, 4, 2, 3, 2, 0, 0, 4, 4, 2, 4, 4, 0, 2, 0, 4, 3, 3, 1, 3, 0, 2, 3, 0, 0, 1, 1, 0, 0, 4, 2, 4, 1, 3, 3, 2, 0, 3, 1, 1, 3, 3, 2, 1, 2, 4, 2, 1, 2, 3, 3, 0, 4, 0, 3, 2, 2, 2, 2, 4, 1, 1, 0, 1, 1, 1, 3, 3, 0, 1, 2, 2, 2, 2, 3, 0, 1, 4, 3, 0, 1, 0, 0, 0, 2, 1, 4, 4, 2, 2, 2, 4, 1, 3, 2, 1, 1, 1, 1, 1, 3, 0, 1, 0, 4, 1, 2, 4, 3, 2, 1, 4, 3, 0, 4, 0, 4, 4, 4, 3, 1, 1, 3, 0, 4, 1, 2, 2, 1, 3, 2, 2, 0, 3, 4, 0, 1, 0, 0, 2, 3, 4, 4, 1, 2, 1, 4, 2, 0, 2, 1, 2, 1, 4, 0, 2, 4, 2, 1, 2, 4, 4, 3, 1, 1, 3, 3, 0, 3] pubkeycol1081 = [1, 0, 3, 1, 0, 0, 4, 1, 0, 2, 1, 2, 1, 1, 2, 3, 2, 0, 4, 0, 2, 4, 2, 2, 1, 4, 0, 4, 0, 2, 3, 2, 4, 1, 4, 2, 1, 2, 1, 4, 1, 3, 2, 1, 3, 2, 1, 1, 3, 1, 0, 0, 2, 0, 4, 1, 2, 4, 2, 4, 1, 3, 4, 4, 2, 2, 3, 2, 4, 4, 3, 1, 3, 2, 3, 2, 4, 0, 2, 3, 2, 4, 4, 2, 0, 4, 1, 0, 3, 2, 1, 4, 0, 4, 1, 3, 2, 3, 2, 3, 0, 0, 2, 2, 4, 2, 4, 2, 0, 2, 1, 0, 1, 2, 3, 4, 0, 3, 2, 4, 0, 2, 3, 2, 4, 1, 1, 0, 4, 2, 0, 2, 3, 4, 4, 3, 0, 0, 2, 1, 2, 2, 4, 2, 3, 4, 3, 2, 4, 1, 2, 4, 2, 2, 3, 3, 3, 0, 2, 4, 1, 3, 0, 1, 0, 4, 0, 1, 4, 4, 2, 1, 3, 0, 3, 1, 3, 4, 3, 1, 2, 4, 0, 0, 2, 2, 2, 2, 3, 3, 4, 0, 0, 4, 1, 0, 0, 0, 0, 1, 0, 1, 2, 4, 4, 4, 1, 3, 4, 1, 2, 2, 3, 4, 2, 1, 3, 1, 2, 4, 4, 3, 3, 1, 1, 2, 3, 3, 1, 3, 3, 4, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3, 2, 1, 2, 1, 0, 4, 3, 1, 2, 2, 0, 4, 3, 0, 0, 1, 2, 0, 3, 3, 4, 4, 1, 2, 2, 2, 2, 4, 1, 2, 3, 0, 3, 2, 2, 0, 0, 2, 1, 2, 1, 3, 1, 4, 4, 1, 2, 1, 1, 3, 3, 1, 0, 2, 0, 2, 3, 2, 4, 4, 4, 2, 4, 2, 1, 1, 4, 0, 0, 0, 1, 4, 0, 3, 1, 2, 4, 4, 2, 3, 2, 4, 4, 0, 0, 3, 3, 1, 1, 3, 1, 3, 4, 2, 1, 4, 2, 0, 3, 1, 1, 1, 4, 0, 3, 0, 0, 4, 3, 3, 3, 0, 4, 2, 3, 1, 0, 3, 3, 1, 4, 0, 3, 1, 3, 0, 1, 4, 0, 1, 2, 1, 1, 4, 3, 0, 3, 0, 1, 0, 4, 1, 2, 2, 0, 1, 0, 4, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 3, 1, 1, 3, 0, 4, 3, 3, 3, 1, 1, 2, 2, 0, 0, 0, 4, 1, 0, 0, 3, 1, 3, 3, 3, 1, 1, 0, 4, 1, 0, 4, 0, 2, 3, 2, 0, 4, 0, 3, 1, 0, 0, 2, 0, 3, 1, 0, 0, 1, 1, 0, 4, 0, 0, 3, 4, 4, 1, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 3, 0, 3, 0, 1, 1, 0, 3, 3] pubkeycol1082 = [2, 4, 4, 2, 4, 0, 3, 4, 4, 1, 4, 0, 1, 4, 1, 4, 0, 0, 4, 1, 2, 0, 2, 1, 1, 0, 1, 3, 2, 3, 2, 0, 3, 3, 2, 2, 2, 2, 0, 4, 0, 0, 0, 0, 0, 2, 0, 1, 0, 3, 0, 0, 4, 3, 1, 1, 3, 1, 0, 0, 3, 1, 0, 1, 2, 4, 2, 4, 2, 4, 3, 0, 1, 3, 2, 2, 1, 2, 2, 2, 3, 0, 4, 2, 1, 2, 0, 4, 4, 2, 3, 0, 4, 1, 1, 4, 0, 1, 1, 4, 1, 3, 0, 4, 0, 1, 2, 4, 4, 1, 3, 4, 1, 2, 4, 3, 1, 2, 1, 0, 4, 3, 4, 3, 3, 3, 4, 3, 2, 2, 0, 0, 2, 0, 1, 4, 0, 1, 1, 3, 4, 0, 3, 2, 3, 1, 1, 1, 4, 3, 3, 2, 0, 1, 2, 0, 3, 4, 4, 1, 3, 1, 1, 4, 0, 1, 4, 0, 4, 3, 1, 3, 2, 3, 4, 0, 3, 2, 1, 1, 1, 0, 0, 1, 4, 4, 3, 0, 1, 3, 0, 4, 1, 1, 4, 1, 2, 1, 4, 2, 3, 0, 1, 0, 3, 2, 1, 3, 0, 2, 2, 0, 3, 2, 1, 0, 4, 1, 1, 1, 0, 3, 3, 4, 2, 4, 3, 3, 3, 4, 4, 1, 3, 2, 0, 2, 3, 3, 2, 1, 2, 3, 4, 2, 1, 4, 3, 4, 3, 3, 0, 4, 3, 4, 2, 1, 4, 0, 3, 4, 4, 3, 4, 0, 3, 0, 1, 2, 4, 2, 1, 2, 1, 3, 1, 4, 0, 2, 2, 2, 4, 1, 1, 3, 3, 4, 2, 4, 1, 3, 3, 4, 4, 1, 4, 1, 3, 3, 1, 1, 3, 3, 3, 0, 2, 0, 4, 0, 4, 4, 1, 3, 0, 2, 3, 3, 2, 0, 0, 0, 2, 4, 1, 2, 0, 0, 2, 3, 0, 1, 4, 2, 2, 3, 2, 3, 0, 2, 4, 2, 0, 4, 3, 3, 4, 2, 2, 4, 3, 4, 4, 2, 0, 1, 4, 3, 2, 1, 1, 0, 0, 2, 3, 2, 3, 4, 4, 3, 1, 4, 1, 2, 0, 4, 1, 2, 2, 2, 4, 0, 1, 3, 1, 4, 4, 2, 3, 2, 4, 1, 4, 1, 0, 1, 3, 4, 3, 0, 3, 3, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 3, 3, 3, 4, 0, 3, 1, 2, 2, 2, 0, 1, 0, 0, 3, 0, 3, 3, 3, 0, 0, 1, 1, 1, 1, 3, 4, 1, 4, 1, 3, 4, 1, 1, 1, 4, 1, 3, 0, 0, 0, 2, 4, 3, 2, 3, 4, 3, 2, 1, 4, 3, 3, 4, 3, 2, 0, 4, 2, 2, 4, 4, 2, 0, 4, 0, 0] pubkeycol1083 = [1, 2, 4, 0, 0, 0, 1, 4, 1, 0, 2, 4, 3, 2, 3, 2, 0, 3, 4, 1, 3, 1, 3, 4, 4, 2, 1, 4, 4, 2, 2, 2, 4, 0, 0, 4, 2, 0, 2, 2, 4, 3, 4, 2, 0, 2, 0, 0, 1, 4, 2, 2, 4, 0, 2, 1, 1, 0, 2, 2, 3, 2, 4, 3, 4, 3, 1, 2, 1, 0, 2, 4, 3, 2, 1, 0, 0, 1, 0, 2, 2, 4, 1, 3, 4, 1, 0, 0, 1, 2, 0, 4, 1, 1, 1, 3, 1, 2, 3, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 3, 3, 3, 3, 4, 3, 0, 0, 0, 3, 3, 1, 2, 0, 0, 2, 1, 3, 1, 4, 2, 2, 2, 2, 1, 0, 4, 3, 1, 3, 2, 4, 0, 3, 4, 3, 1, 0, 2, 2, 3, 1, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 3, 3, 1, 2, 1, 1, 4, 1, 2, 1, 4, 3, 4, 3, 0, 3, 1, 4, 4, 4, 0, 1, 3, 3, 1, 0, 0, 4, 1, 4, 0, 2, 1, 4, 1, 3, 4, 0, 2, 2, 0, 0, 3, 3, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 4, 3, 1, 2, 4, 4, 3, 0, 3, 2, 2, 3, 4, 3, 2, 1, 4, 2, 2, 4, 1, 2, 4, 3, 1, 3, 2, 0, 4, 4, 3, 3, 1, 2, 1, 2, 4, 3, 3, 2, 4, 2, 4, 2, 1, 4, 2, 2, 0, 1, 0, 2, 0, 4, 0, 2, 0, 4, 0, 1, 3, 4, 4, 3, 3, 3, 3, 3, 0, 4, 1, 3, 4, 0, 3, 0, 2, 1, 0, 0, 0, 0, 2, 4, 3, 0, 4, 2, 1, 1, 1, 4, 3, 4, 4, 2, 0, 3, 3, 3, 0, 0, 3, 4, 3, 2, 1, 4, 4, 4, 0, 3, 4, 4, 0, 0, 2, 1, 2, 1, 3, 4, 3, 0, 3, 0, 1, 3, 1, 1, 4, 1, 3, 0, 3, 2, 4, 3, 1, 2, 3, 4, 3, 1, 2, 4, 0, 2, 3, 1, 1, 1, 3, 3, 3, 0, 3, 3, 2, 4, 3, 0, 1, 4, 0, 0, 3, 2, 0, 0, 4, 2, 3, 3, 0, 2, 2, 0, 0, 1, 3, 3, 4, 0, 0, 3, 1, 3, 2, 0, 2, 3, 2, 2, 3, 2, 3, 3, 2, 0, 2, 1, 3, 4, 3, 0, 2, 4, 1, 1, 4, 2, 4, 3, 2, 0, 4, 0, 4, 0, 4, 0, 0, 2, 0, 1, 3, 0, 1, 4, 1, 4, 3, 0, 4, 4, 4, 2, 3, 4, 3, 2, 0, 2, 4, 1, 2, 2, 4, 2, 1, 2, 1, 1, 4, 1, 3, 4, 2] pubkeycol1084 = [2, 1, 3, 4, 4, 1, 2, 0, 0, 1, 1, 1, 0, 4, 4, 4, 4, 0, 2, 3, 3, 0, 1, 2, 2, 2, 1, 3, 2, 2, 3, 0, 0, 2, 0, 2, 1, 0, 3, 0, 1, 3, 4, 4, 1, 3, 1, 2, 1, 4, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 1, 1, 2, 0, 3, 0, 4, 3, 4, 3, 3, 0, 0, 2, 0, 2, 0, 4, 0, 4, 4, 4, 3, 0, 2, 1, 0, 4, 0, 0, 2, 3, 1, 4, 0, 2, 0, 1, 0, 0, 4, 2, 3, 3, 3, 2, 3, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 3, 2, 1, 4, 0, 0, 0, 2, 4, 1, 4, 2, 2, 0, 3, 2, 0, 3, 1, 3, 2, 0, 2, 0, 2, 2, 2, 4, 3, 2, 4, 4, 4, 3, 0, 4, 1, 1, 1, 4, 2, 2, 4, 1, 2, 4, 2, 0, 3, 1, 1, 0, 1, 0, 4, 1, 3, 4, 3, 2, 2, 1, 4, 4, 0, 0, 0, 4, 2, 1, 1, 0, 4, 1, 0, 0, 4, 4, 1, 3, 3, 4, 1, 4, 3, 0, 3, 2, 0, 1, 4, 0, 4, 2, 0, 4, 4, 1, 3, 1, 3, 2, 0, 3, 0, 1, 2, 1, 4, 3, 1, 4, 4, 3, 1, 1, 2, 0, 1, 3, 1, 1, 1, 0, 3, 4, 1, 0, 1, 2, 4, 2, 4, 3, 1, 0, 1, 1, 0, 4, 0, 2, 4, 1, 0, 1, 0, 2, 1, 1, 4, 0, 3, 4, 1, 2, 1, 3, 0, 4, 0, 1, 4, 0, 0, 0, 4, 3, 4, 3, 2, 0, 3, 1, 0, 4, 4, 3, 2, 3, 4, 2, 0, 0, 4, 4, 0, 4, 0, 4, 0, 1, 4, 2, 1, 4, 3, 4, 1, 4, 3, 1, 0, 3, 0, 0, 3, 1, 0, 4, 2, 1, 3, 0, 1, 4, 1, 1, 1, 0, 4, 4, 1, 2, 4, 3, 2, 0, 1, 1, 3, 1, 1, 1, 1, 4, 0, 2, 0, 2, 1, 0, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 4, 4, 4, 2, 1, 1, 0, 0, 3, 2, 1, 2, 2, 1, 4, 3, 2, 1, 0, 3, 1, 0, 4, 2, 2, 0, 3, 0, 4, 3, 2, 3, 1, 1, 1, 4, 1, 2, 3, 3, 4, 2, 2, 1, 4, 2, 4, 3, 1, 4, 1, 1, 4, 0, 3, 0, 3, 1, 0, 3, 4, 0, 2, 1, 0, 3, 3, 0, 1, 3, 1, 4, 0, 1, 4, 0, 2, 2, 1, 1, 1, 1, 4, 0, 3, 3, 4, 3, 4, 4, 2, 0, 4, 3, 3, 0, 2, 3, 3, 0, 1, 4, 3, 1, 1, 3, 3, 3, 4, 1] pubkeycol1085 = [3, 0, 3, 4, 2, 0, 1, 3, 1, 3, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 3, 4, 0, 2, 3, 4, 3, 0, 1, 0, 2, 1, 4, 2, 4, 1, 3, 2, 4, 1, 0, 3, 4, 4, 3, 0, 3, 0, 0, 4, 3, 1, 2, 2, 4, 2, 1, 4, 3, 3, 0, 1, 2, 0, 0, 1, 2, 2, 3, 0, 4, 0, 3, 3, 1, 1, 2, 4, 2, 1, 2, 0, 1, 1, 4, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 3, 2, 2, 1, 2, 0, 3, 3, 2, 3, 1, 3, 3, 4, 1, 3, 4, 1, 1, 2, 0, 0, 0, 0, 4, 3, 0, 0, 2, 2, 4, 4, 2, 1, 3, 2, 3, 0, 2, 1, 2, 3, 4, 3, 1, 2, 3, 3, 0, 3, 1, 3, 0, 2, 0, 2, 3, 1, 3, 4, 2, 1, 1, 4, 2, 2, 2, 4, 0, 4, 4, 3, 3, 4, 0, 0, 2, 4, 0, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 0, 2, 4, 1, 2, 4, 4, 3, 0, 2, 1, 3, 2, 4, 4, 1, 0, 2, 1, 0, 1, 0, 0, 3, 3, 0, 0, 1, 4, 0, 3, 0, 1, 4, 0, 1, 1, 2, 2, 1, 0, 3, 4, 1, 4, 2, 2, 3, 0, 3, 4, 3, 4, 1, 1, 2, 4, 2, 2, 4, 2, 4, 0, 0, 4, 2, 1, 1, 0, 3, 1, 1, 2, 1, 3, 4, 4, 3, 4, 2, 3, 0, 4, 0, 1, 2, 1, 1, 3, 2, 2, 0, 4, 0, 0, 3, 1, 4, 4, 3, 4, 2, 0, 4, 2, 3, 0, 4, 4, 1, 1, 2, 1, 3, 2, 2, 4, 3, 3, 1, 1, 2, 4, 4, 2, 1, 4, 3, 0, 1, 1, 1, 4, 2, 4, 4, 0, 0, 3, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 3, 1, 2, 0, 0, 2, 4, 1, 3, 4, 3, 2, 1, 3, 0, 2, 3, 1, 1, 1, 2, 4, 2, 2, 2, 3, 1, 2, 2, 3, 4, 1, 4, 1, 4, 0, 3, 2, 2, 4, 1, 0, 4, 2, 0, 4, 2, 0, 0, 3, 4, 0, 1, 1, 3, 2, 0, 0, 0, 3, 0, 0, 4, 1, 0, 3, 0, 3, 1, 2, 2, 1, 0, 3, 4, 0, 0, 2, 4, 3, 3, 2, 0, 1, 3, 2, 4, 3, 2, 0, 2, 3, 3, 2, 4, 1, 4, 2, 3, 3, 2, 3, 4, 2, 2, 1, 4, 4, 3, 3, 1, 2, 2, 1, 4, 3, 3, 0, 4, 3, 3, 3, 4, 4, 1, 0, 2, 0, 1, 3, 2, 1, 0, 0] pubkeycol1086 = [2, 4, 1, 3, 1, 0, 1, 0, 1, 4, 1, 2, 0, 2, 4, 4, 0, 2, 0, 3, 4, 3, 1, 3, 4, 1, 1, 3, 4, 4, 2, 4, 0, 0, 2, 2, 1, 1, 0, 3, 3, 2, 4, 2, 2, 4, 4, 0, 3, 0, 4, 2, 4, 2, 3, 0, 0, 1, 2, 0, 3, 1, 2, 0, 2, 2, 3, 1, 0, 0, 3, 0, 2, 2, 3, 4, 4, 0, 3, 1, 0, 1, 3, 3, 4, 1, 0, 0, 0, 1, 3, 2, 2, 3, 4, 2, 3, 0, 2, 2, 4, 0, 4, 4, 4, 4, 3, 4, 4, 0, 2, 4, 0, 3, 3, 1, 0, 1, 4, 2, 2, 1, 0, 1, 2, 2, 2, 0, 3, 3, 2, 2, 1, 1, 3, 0, 0, 3, 4, 1, 3, 4, 3, 4, 2, 1, 0, 0, 0, 1, 4, 1, 1, 2, 1, 3, 2, 3, 0, 3, 2, 0, 1, 0, 4, 4, 4, 4, 4, 2, 2, 0, 0, 2, 0, 3, 2, 1, 3, 1, 2, 0, 4, 0, 4, 2, 0, 1, 0, 4, 0, 4, 3, 4, 1, 1, 1, 4, 3, 4, 0, 4, 3, 0, 0, 4, 1, 0, 2, 3, 3, 2, 0, 2, 4, 4, 3, 0, 3, 4, 0, 1, 1, 2, 2, 1, 1, 0, 1, 4, 2, 2, 4, 0, 2, 1, 1, 3, 3, 3, 0, 0, 0, 4, 0, 0, 0, 4, 0, 2, 4, 3, 3, 3, 0, 3, 0, 0, 3, 3, 2, 2, 0, 4, 2, 1, 0, 4, 2, 1, 4, 0, 0, 2, 2, 4, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 4, 2, 0, 4, 2, 1, 4, 0, 1, 2, 0, 2, 4, 4, 1, 1, 4, 3, 2, 3, 2, 0, 1, 2, 4, 0, 0, 1, 3, 2, 4, 4, 0, 2, 0, 1, 1, 2, 1, 4, 2, 1, 1, 1, 4, 4, 0, 4, 0, 4, 1, 4, 2, 3, 1, 4, 3, 0, 1, 3, 2, 4, 2, 0, 2, 0, 3, 3, 2, 2, 2, 4, 3, 4, 1, 4, 0, 3, 1, 2, 2, 4, 2, 0, 2, 1, 0, 3, 0, 2, 2, 3, 1, 2, 1, 1, 2, 0, 0, 3, 4, 0, 4, 3, 4, 1, 4, 1, 0, 3, 1, 3, 4, 4, 0, 1, 4, 3, 4, 4, 2, 2, 1, 2, 4, 3, 3, 0, 1, 0, 0, 3, 3, 3, 3, 1, 1, 3, 2, 0, 3, 2, 2, 2, 0, 0, 4, 4, 3, 2, 2, 1, 4, 1, 1, 3, 2, 4, 2, 3, 2, 3, 3, 2, 2, 1, 3, 4, 3, 4, 4, 1, 4, 2, 1, 4, 1, 4, 4, 2, 2, 1, 0, 4, 3, 2, 3, 1, 2, 1, 4, 1, 4, 3] pubkeycol1087 = [2, 0, 3, 2, 0, 4, 0, 4, 0, 0, 1, 0, 3, 3, 0, 2, 0, 1, 1, 3, 1, 2, 3, 4, 2, 2, 1, 1, 2, 3, 4, 3, 3, 3, 3, 3, 2, 4, 1, 3, 1, 2, 4, 1, 1, 0, 4, 3, 2, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 0, 4, 0, 3, 1, 0, 3, 0, 4, 2, 3, 0, 0, 4, 3, 0, 2, 1, 3, 4, 4, 1, 2, 0, 4, 4, 1, 0, 3, 2, 1, 3, 4, 0, 0, 4, 1, 2, 2, 0, 4, 3, 0, 4, 4, 0, 4, 0, 1, 4, 1, 3, 1, 1, 1, 0, 0, 0, 2, 0, 3, 0, 4, 0, 1, 3, 0, 3, 1, 3, 4, 0, 1, 1, 0, 2, 0, 0, 3, 2, 1, 4, 0, 3, 0, 0, 1, 0, 4, 1, 1, 0, 1, 4, 3, 2, 3, 3, 1, 0, 4, 3, 4, 4, 3, 1, 0, 2, 4, 4, 3, 2, 2, 3, 1, 3, 4, 4, 4, 2, 3, 4, 1, 3, 1, 2, 3, 2, 2, 1, 1, 3, 4, 2, 3, 1, 2, 3, 1, 2, 3, 2, 3, 4, 3, 3, 1, 2, 3, 1, 1, 2, 0, 0, 0, 2, 2, 3, 3, 4, 1, 4, 4, 2, 1, 0, 1, 4, 4, 0, 1, 3, 3, 0, 3, 2, 1, 2, 4, 0, 3, 0, 4, 2, 4, 3, 0, 0, 1, 0, 0, 3, 3, 1, 4, 0, 2, 2, 1, 1, 2, 3, 3, 2, 0, 4, 3, 3, 2, 2, 3, 3, 1, 3, 3, 4, 0, 0, 2, 1, 2, 0, 2, 2, 1, 3, 1, 1, 3, 2, 0, 2, 1, 2, 1, 1, 1, 3, 4, 1, 1, 2, 1, 1, 3, 0, 4, 4, 3, 0, 1, 2, 1, 3, 3, 0, 3, 0, 2, 0, 1, 1, 2, 1, 3, 4, 2, 3, 4, 4, 2, 2, 0, 3, 3, 3, 4, 2, 0, 0, 0, 2, 3, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 4, 1, 2, 4, 2, 1, 3, 3, 1, 2, 2, 3, 2, 2, 2, 0, 3, 1, 3, 2, 3, 4, 1, 0, 1, 2, 1, 1, 4, 1, 1, 1, 3, 0, 4, 4, 0, 2, 2, 1, 2, 3, 4, 3, 1, 1, 0, 0, 1, 2, 3, 2, 0, 1, 2, 4, 3, 2, 1, 4, 4, 3, 2, 0, 4, 2, 2, 2, 2, 3, 1, 2, 1, 3, 3, 1, 2, 0, 1, 0, 4, 2, 0, 1, 3, 4, 1, 0, 4, 2, 2, 4, 2, 4, 1, 0, 0, 4, 2, 2, 0, 4, 2, 3, 3, 0, 2, 3, 2, 1, 2, 2, 4, 1, 1, 0, 4, 3, 3, 0, 3, 1, 4] pubkeycol1088 = [4, 0, 1, 4, 1, 4, 3, 0, 0, 0, 4, 2, 3, 2, 0, 3, 0, 0, 0, 4, 2, 1, 2, 2, 0, 2, 1, 3, 3, 1, 3, 0, 0, 2, 1, 0, 3, 2, 2, 2, 4, 4, 1, 3, 4, 1, 1, 2, 4, 2, 1, 1, 2, 0, 3, 0, 4, 0, 0, 4, 1, 3, 3, 3, 2, 4, 0, 1, 2, 0, 2, 3, 1, 1, 3, 4, 1, 0, 0, 3, 0, 4, 1, 1, 0, 0, 2, 2, 1, 3, 2, 1, 1, 3, 1, 4, 0, 2, 2, 2, 0, 3, 0, 1, 0, 3, 0, 2, 4, 1, 4, 0, 3, 2, 1, 0, 2, 0, 4, 3, 0, 1, 0, 0, 3, 4, 0, 2, 0, 0, 3, 1, 1, 0, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 0, 3, 4, 1, 1, 4, 2, 0, 4, 2, 0, 2, 0, 4, 4, 3, 4, 0, 4, 2, 1, 3, 3, 1, 1, 3, 3, 1, 4, 1, 4, 1, 4, 1, 0, 1, 0, 3, 2, 3, 2, 3, 1, 0, 3, 4, 0, 4, 2, 0, 4, 1, 3, 1, 0, 3, 1, 0, 4, 2, 2, 2, 2, 3, 3, 4, 2, 2, 0, 4, 3, 2, 2, 1, 0, 3, 2, 1, 2, 3, 2, 4, 3, 3, 0, 2, 4, 1, 2, 2, 4, 4, 1, 2, 0, 0, 2, 3, 3, 2, 3, 2, 2, 3, 2, 0, 4, 1, 2, 2, 1, 2, 3, 1, 0, 2, 3, 2, 2, 0, 3, 2, 2, 2, 2, 4, 1, 3, 1, 3, 4, 4, 3, 2, 0, 4, 3, 2, 3, 4, 3, 0, 0, 1, 0, 1, 2, 4, 4, 0, 1, 0, 4, 0, 3, 4, 0, 4, 4, 0, 0, 4, 2, 4, 0, 2, 0, 0, 1, 4, 0, 2, 3, 1, 2, 1, 1, 2, 4, 1, 4, 0, 4, 3, 2, 1, 4, 1, 0, 2, 4, 1, 3, 1, 0, 2, 1, 4, 1, 1, 4, 1, 1, 1, 1, 2, 0, 0, 0, 0, 3, 3, 1, 3, 3, 2, 3, 1, 2, 2, 4, 1, 4, 3, 1, 4, 0, 3, 2, 0, 4, 2, 0, 4, 1, 3, 3, 4, 2, 2, 1, 4, 4, 2, 4, 3, 0, 3, 4, 1, 3, 2, 4, 2, 0, 2, 3, 1, 4, 3, 0, 3, 2, 1, 1, 4, 3, 4, 0, 2, 1, 3, 4, 0, 2, 3, 4, 2, 1, 2, 0, 3, 0, 0, 0, 3, 2, 0, 1, 4, 3, 1, 1, 0, 2, 4, 0, 3, 3, 2, 0, 2, 1, 1, 0, 3, 2, 1, 2, 2, 1, 4, 1, 0, 1, 1, 0, 1, 4, 0, 2, 2, 0, 4, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol1089 = [1, 1, 4, 1, 1, 3, 0, 4, 0, 4, 3, 0, 0, 3, 2, 1, 0, 0, 2, 4, 1, 3, 3, 3, 4, 2, 3, 1, 2, 0, 3, 0, 2, 2, 0, 0, 1, 0, 1, 3, 3, 1, 3, 3, 2, 0, 4, 0, 3, 3, 0, 1, 1, 3, 4, 0, 3, 3, 3, 1, 2, 2, 4, 0, 4, 2, 4, 2, 1, 1, 0, 1, 3, 3, 0, 0, 4, 1, 1, 4, 2, 3, 1, 3, 1, 3, 4, 2, 0, 4, 1, 4, 4, 3, 1, 0, 3, 3, 1, 1, 0, 0, 3, 3, 1, 2, 4, 2, 3, 1, 2, 2, 1, 4, 4, 0, 4, 4, 3, 2, 2, 3, 2, 0, 4, 2, 1, 0, 3, 2, 2, 4, 2, 4, 1, 4, 4, 0, 0, 4, 3, 0, 4, 3, 0, 4, 0, 1, 4, 2, 2, 2, 0, 1, 4, 1, 2, 3, 1, 3, 3, 1, 4, 1, 0, 0, 0, 1, 4, 2, 3, 3, 1, 4, 1, 4, 1, 1, 3, 0, 1, 1, 4, 4, 2, 4, 2, 0, 3, 1, 4, 0, 3, 3, 1, 0, 2, 3, 1, 4, 4, 1, 0, 2, 4, 0, 0, 3, 0, 3, 2, 0, 1, 2, 2, 3, 0, 3, 1, 2, 3, 4, 1, 3, 1, 2, 3, 3, 3, 4, 2, 4, 2, 4, 2, 1, 4, 4, 2, 0, 3, 1, 1, 0, 2, 3, 4, 2, 2, 0, 4, 1, 0, 2, 2, 3, 4, 3, 3, 1, 4, 0, 3, 3, 1, 0, 3, 2, 2, 4, 2, 1, 3, 4, 0, 4, 0, 1, 1, 4, 3, 3, 3, 0, 2, 4, 2, 1, 0, 3, 4, 4, 3, 1, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 4, 2, 2, 4, 4, 2, 3, 3, 2, 0, 1, 2, 4, 0, 0, 2, 2, 0, 2, 0, 1, 3, 0, 3, 1, 2, 2, 2, 2, 2, 1, 1, 4, 0, 4, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 3, 0, 4, 2, 4, 2, 3, 3, 4, 2, 3, 0, 1, 0, 2, 2, 4, 0, 3, 3, 2, 0, 3, 2, 0, 2, 2, 3, 4, 2, 1, 0, 1, 2, 2, 1, 0, 0, 3, 4, 4, 1, 2, 1, 0, 3, 2, 2, 3, 4, 4, 0, 1, 2, 3, 3, 4, 0, 3, 0, 1, 2, 3, 1, 0, 0, 4, 3, 4, 4, 1, 4, 1, 0, 3, 0, 1, 3, 3, 3, 0, 4, 2, 1, 2, 1, 3, 0, 2, 3, 4, 2, 1, 2, 2, 1, 3, 4, 2, 3, 0, 1, 3, 0, 2, 3, 2, 4, 1, 0, 0, 2, 1, 3, 1, 3, 3, 0, 4, 4, 0, 2, 3, 0, 0, 1] pubkeycol1090 = [0, 2, 1, 3, 1, 3, 1, 1, 0, 3, 1, 0, 0, 1, 1, 4, 0, 2, 3, 2, 1, 2, 4, 3, 2, 3, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 4, 1, 0, 1, 2, 2, 3, 3, 1, 4, 1, 0, 0, 2, 3, 1, 3, 0, 3, 2, 1, 1, 0, 0, 2, 0, 3, 2, 3, 3, 1, 4, 1, 1, 4, 2, 4, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 4, 0, 2, 1, 1, 1, 1, 2, 3, 4, 1, 1, 4, 0, 3, 0, 0, 2, 1, 0, 0, 3, 1, 3, 3, 0, 0, 0, 1, 3, 1, 4, 3, 4, 3, 4, 2, 2, 1, 1, 3, 2, 1, 1, 3, 2, 1, 2, 1, 2, 2, 3, 4, 1, 0, 4, 3, 0, 3, 1, 3, 0, 4, 1, 1, 3, 2, 3, 2, 3, 3, 1, 0, 0, 4, 2, 2, 2, 3, 4, 4, 0, 2, 0, 1, 4, 3, 2, 0, 1, 2, 0, 0, 2, 0, 3, 3, 4, 2, 3, 1, 2, 3, 0, 1, 3, 4, 3, 4, 3, 1, 1, 3, 1, 1, 1, 0, 4, 2, 0, 4, 3, 4, 3, 4, 3, 0, 0, 3, 2, 2, 0, 3, 0, 1, 4, 0, 0, 3, 3, 4, 1, 4, 3, 0, 4, 3, 4, 2, 0, 0, 2, 4, 2, 1, 1, 0, 1, 2, 1, 2, 0, 3, 2, 4, 2, 4, 0, 4, 3, 3, 4, 4, 3, 2, 4, 0, 4, 2, 2, 1, 1, 4, 2, 1, 1, 3, 2, 3, 0, 2, 1, 3, 0, 3, 2, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 4, 3, 1, 3, 4, 2, 0, 2, 1, 4, 0, 3, 1, 0, 4, 1, 1, 2, 0, 0, 3, 1, 4, 1, 3, 4, 0, 3, 1, 2, 1, 4, 3, 4, 2, 4, 1, 1, 3, 4, 0, 3, 2, 2, 1, 4, 1, 0, 4, 3, 0, 2, 3, 4, 1, 4, 0, 4, 3, 3, 3, 2, 0, 0, 1, 2, 3, 1, 0, 0, 0, 1, 0, 0, 2, 4, 4, 0, 3, 2, 4, 4, 0, 0, 2, 2, 3, 2, 4, 0, 4, 3, 1, 3, 1, 3, 1, 3, 0, 1, 2, 2, 2, 3, 3, 0, 0, 3, 0, 0, 1, 4, 4, 0, 4, 1, 1, 0, 0, 4, 2, 2, 2, 2, 3, 3, 1, 4, 3, 2, 1, 2, 1, 1, 4, 2, 0, 0, 0, 4, 2, 2, 4, 4, 1, 4, 0, 2, 3, 1, 2, 2, 0, 4, 2, 1, 1, 2, 1, 4, 0, 3, 3, 0, 2, 0, 0, 2, 1, 2, 4, 0, 1, 3, 1, 4, 3, 4, 1, 4, 2, 1, 1, 0, 2, 3, 1, 2, 2, 0] pubkeycol1091 = [1, 3, 4, 2, 4, 0, 1, 3, 1, 3, 2, 2, 0, 4, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 3, 4, 0, 1, 1, 0, 3, 1, 3, 1, 2, 1, 1, 3, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 0, 4, 0, 3, 4, 4, 3, 1, 1, 1, 4, 2, 1, 1, 1, 0, 4, 1, 1, 4, 1, 1, 3, 2, 2, 2, 1, 4, 4, 3, 1, 4, 2, 0, 4, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 4, 1, 4, 1, 1, 3, 1, 3, 4, 2, 2, 0, 4, 1, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 0, 0, 3, 1, 3, 3, 1, 1, 4, 2, 1, 4, 1, 1, 2, 0, 2, 2, 3, 0, 0, 3, 2, 1, 4, 1, 4, 2, 3, 4, 4, 2, 2, 0, 3, 4, 3, 1, 3, 2, 3, 4, 2, 1, 1, 3, 1, 4, 0, 4, 4, 1, 2, 1, 3, 2, 0, 4, 1, 3, 0, 4, 1, 4, 0, 4, 0, 4, 4, 4, 2, 3, 1, 1, 4, 1, 4, 0, 3, 0, 3, 4, 0, 1, 2, 1, 1, 0, 4, 2, 2, 2, 4, 4, 4, 3, 2, 3, 0, 2, 1, 0, 1, 0, 4, 0, 4, 2, 2, 2, 2, 2, 2, 1, 1, 3, 2, 4, 2, 0, 3, 3, 0, 3, 4, 3, 3, 4, 2, 4, 4, 2, 4, 3, 2, 3, 2, 3, 3, 4, 0, 3, 4, 1, 2, 3, 1, 0, 1, 4, 2, 3, 2, 2, 3, 4, 4, 2, 1, 3, 2, 0, 2, 3, 0, 0, 4, 3, 0, 1, 1, 2, 4, 1, 4, 0, 3, 2, 0, 4, 2, 2, 4, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 3, 0, 0, 3, 3, 2, 4, 4, 1, 2, 4, 0, 2, 4, 0, 2, 3, 2, 3, 1, 4, 4, 0, 0, 1, 4, 3, 0, 4, 2, 0, 3, 3, 2, 3, 1, 0, 3, 3, 2, 3, 0, 4, 2, 1, 0, 1, 0, 1, 4, 2, 3, 0, 1, 0, 0, 2, 2, 1, 1, 3, 4, 0, 1, 1, 3, 4, 0, 1, 2, 4, 4, 2, 2, 1, 4, 1, 3, 1, 3, 4, 4, 1, 1, 3, 3, 1, 4, 1, 0, 3, 4, 0, 4, 2, 4, 3, 0, 4, 0, 4, 3, 4, 4, 1, 0, 0, 3, 2, 3, 1, 4, 0, 0, 0, 2, 3, 1, 2, 4, 2, 4, 4, 4, 3, 2, 4, 0, 3, 4, 4, 3, 4, 3, 2, 0, 0, 2, 1, 0, 4, 3, 2, 4, 2, 3, 1, 4, 0, 4, 3, 3, 3, 3, 1, 4, 2, 0, 3, 4] pubkeycol1092 = [1, 4, 4, 0, 1, 1, 0, 2, 4, 4, 4, 2, 4, 4, 0, 2, 4, 3, 4, 0, 3, 3, 3, 4, 1, 3, 0, 0, 3, 1, 2, 3, 0, 4, 0, 1, 3, 2, 3, 2, 2, 4, 1, 1, 4, 4, 1, 3, 2, 4, 1, 3, 1, 4, 1, 4, 0, 0, 2, 4, 4, 4, 1, 3, 4, 4, 4, 3, 3, 4, 2, 1, 3, 4, 3, 4, 0, 1, 1, 3, 3, 4, 3, 4, 1, 3, 1, 3, 1, 2, 4, 0, 2, 3, 3, 3, 2, 3, 3, 0, 4, 0, 0, 1, 0, 0, 3, 1, 4, 4, 1, 2, 0, 0, 0, 0, 1, 4, 4, 4, 4, 0, 0, 4, 0, 3, 4, 0, 4, 3, 4, 2, 3, 1, 2, 4, 3, 0, 4, 0, 4, 2, 3, 3, 3, 1, 4, 0, 0, 1, 0, 2, 1, 2, 3, 1, 3, 0, 3, 4, 4, 2, 1, 1, 2, 0, 0, 3, 1, 1, 0, 3, 1, 0, 2, 3, 1, 1, 0, 4, 4, 2, 2, 3, 0, 2, 0, 1, 4, 3, 1, 0, 4, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 3, 0, 3, 3, 4, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 1, 1, 3, 3, 3, 3, 2, 4, 4, 3, 0, 2, 0, 1, 1, 2, 4, 4, 0, 1, 3, 1, 2, 1, 4, 4, 4, 0, 4, 3, 0, 1, 0, 2, 2, 0, 1, 1, 4, 3, 4, 3, 0, 1, 4, 3, 3, 3, 1, 3, 1, 2, 2, 1, 1, 1, 2, 4, 1, 3, 4, 2, 3, 2, 3, 4, 2, 3, 3, 3, 3, 4, 0, 2, 0, 0, 4, 3, 1, 0, 1, 2, 4, 0, 4, 3, 2, 4, 1, 2, 2, 3, 3, 0, 0, 2, 0, 1, 0, 4, 1, 0, 0, 4, 1, 4, 0, 2, 3, 4, 2, 3, 4, 0, 1, 0, 3, 3, 3, 3, 1, 2, 4, 4, 3, 1, 0, 4, 1, 0, 1, 3, 0, 2, 2, 1, 3, 1, 2, 2, 3, 1, 2, 3, 0, 0, 0, 3, 4, 0, 3, 3, 2, 4, 3, 2, 3, 3, 2, 0, 3, 3, 0, 0, 2, 4, 4, 2, 3, 3, 0, 4, 4, 1, 3, 0, 1, 2, 0, 1, 4, 2, 1, 0, 0, 2, 4, 3, 0, 2, 2, 4, 1, 3, 1, 3, 4, 1, 3, 4, 2, 1, 3, 0, 4, 0, 1, 0, 1, 3, 1, 1, 3, 2, 4, 2, 4, 1, 1, 3, 3, 3, 4, 0, 4, 0, 0, 3, 4, 4, 3, 1, 2, 0, 0, 4, 1, 3, 2, 4, 4, 3, 0, 0, 0, 2, 1, 0, 1, 1, 2, 3, 0, 2, 3, 1, 2] pubkeycol1093 = [2, 3, 0, 4, 3, 1, 4, 2, 1, 3, 2, 3, 1, 0, 4, 4, 2, 3, 0, 3, 1, 4, 2, 2, 0, 2, 3, 3, 4, 1, 2, 0, 3, 2, 3, 0, 4, 1, 2, 0, 3, 0, 3, 1, 0, 1, 4, 3, 0, 2, 0, 0, 2, 1, 0, 4, 3, 1, 2, 2, 4, 2, 3, 0, 4, 0, 3, 3, 1, 3, 1, 1, 4, 4, 3, 4, 3, 0, 0, 3, 0, 2, 4, 2, 4, 1, 4, 3, 3, 3, 0, 0, 3, 1, 3, 4, 1, 3, 4, 4, 1, 1, 3, 3, 4, 1, 1, 3, 3, 2, 4, 0, 0, 4, 4, 1, 1, 3, 3, 3, 0, 4, 3, 3, 1, 0, 0, 0, 3, 0, 1, 4, 2, 0, 0, 4, 4, 3, 1, 1, 0, 4, 4, 1, 3, 4, 2, 4, 1, 0, 4, 3, 0, 1, 3, 1, 3, 1, 4, 1, 3, 1, 1, 4, 0, 0, 2, 1, 2, 4, 4, 3, 1, 4, 4, 1, 0, 2, 3, 0, 3, 4, 1, 1, 1, 4, 4, 4, 0, 2, 1, 0, 2, 0, 2, 3, 3, 0, 1, 3, 2, 1, 4, 4, 1, 1, 4, 0, 3, 1, 0, 2, 3, 1, 2, 2, 2, 4, 1, 0, 1, 3, 3, 4, 0, 4, 2, 2, 3, 2, 0, 0, 0, 3, 2, 0, 1, 1, 1, 3, 3, 0, 0, 0, 3, 2, 0, 4, 1, 2, 3, 2, 2, 1, 0, 3, 1, 3, 3, 0, 3, 0, 2, 2, 3, 3, 2, 1, 4, 1, 2, 1, 1, 2, 3, 0, 4, 0, 4, 3, 0, 0, 3, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 4, 2, 1, 1, 4, 2, 0, 3, 2, 0, 1, 1, 3, 3, 4, 4, 3, 1, 1, 4, 2, 0, 2, 3, 4, 1, 1, 2, 2, 1, 0, 3, 0, 3, 0, 3, 2, 2, 2, 1, 2, 3, 1, 0, 4, 3, 0, 4, 0, 3, 4, 1, 1, 0, 2, 1, 1, 1, 1, 2, 3, 2, 3, 4, 1, 1, 3, 2, 1, 2, 4, 3, 4, 0, 0, 2, 4, 0, 0, 0, 4, 4, 1, 3, 1, 3, 1, 2, 2, 3, 3, 2, 1, 3, 4, 0, 1, 0, 1, 1, 2, 4, 1, 2, 4, 3, 0, 0, 3, 0, 0, 0, 1, 1, 1, 1, 0, 3, 4, 3, 0, 3, 0, 4, 3, 4, 1, 2, 4, 0, 0, 2, 0, 4, 4, 1, 0, 4, 0, 2, 1, 4, 1, 3, 1, 1, 3, 0, 1, 0, 3, 0, 3, 0, 1, 3, 4, 1, 4, 3, 4, 4, 2, 1, 3, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 3, 1, 3, 3, 3, 3, 1, 1] pubkeycol1094 = [3, 4, 1, 0, 0, 1, 4, 0, 4, 3, 2, 2, 4, 3, 2, 2, 3, 0, 2, 0, 3, 0, 4, 0, 0, 0, 0, 4, 3, 4, 3, 0, 3, 1, 0, 2, 0, 1, 1, 4, 2, 3, 4, 3, 2, 0, 0, 0, 0, 3, 3, 3, 1, 2, 2, 2, 2, 4, 2, 3, 4, 0, 0, 4, 1, 2, 1, 0, 1, 3, 1, 0, 2, 2, 0, 1, 4, 0, 0, 2, 2, 3, 1, 3, 3, 0, 1, 2, 1, 4, 1, 0, 0, 2, 4, 2, 2, 3, 3, 2, 3, 3, 2, 0, 3, 0, 4, 0, 2, 0, 1, 0, 1, 4, 1, 1, 3, 1, 3, 2, 4, 3, 1, 2, 3, 4, 1, 2, 2, 3, 3, 1, 0, 0, 0, 2, 3, 0, 3, 2, 2, 1, 4, 0, 0, 0, 2, 0, 4, 1, 2, 1, 1, 4, 4, 4, 2, 2, 4, 2, 0, 3, 1, 0, 0, 3, 4, 4, 4, 3, 4, 0, 3, 4, 4, 2, 1, 4, 1, 4, 4, 4, 4, 2, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 3, 0, 4, 3, 4, 3, 2, 4, 1, 3, 1, 2, 0, 3, 2, 0, 1, 1, 3, 4, 2, 0, 1, 0, 1, 0, 4, 2, 3, 0, 4, 4, 0, 0, 2, 0, 4, 4, 3, 3, 2, 2, 4, 3, 0, 3, 1, 0, 2, 0, 4, 2, 0, 4, 1, 0, 0, 2, 3, 1, 4, 3, 0, 3, 3, 1, 4, 2, 2, 4, 4, 1, 3, 4, 0, 2, 0, 0, 0, 2, 3, 0, 2, 0, 0, 1, 2, 2, 2, 3, 1, 3, 3, 1, 2, 2, 1, 1, 3, 1, 2, 2, 3, 3, 3, 4, 3, 4, 4, 3, 1, 3, 4, 4, 3, 0, 1, 1, 4, 3, 0, 0, 4, 2, 0, 0, 2, 3, 4, 4, 2, 4, 3, 4, 4, 3, 0, 1, 3, 0, 0, 4, 0, 4, 2, 4, 4, 0, 4, 1, 4, 0, 1, 4, 4, 4, 4, 1, 1, 1, 3, 4, 0, 2, 0, 1, 2, 4, 1, 4, 3, 3, 4, 3, 0, 2, 0, 0, 2, 0, 2, 4, 1, 4, 1, 3, 4, 3, 0, 3, 2, 3, 0, 0, 0, 3, 1, 4, 4, 4, 0, 3, 1, 1, 0, 3, 3, 2, 2, 2, 0, 1, 1, 1, 1, 4, 2, 0, 4, 0, 0, 4, 3, 1, 2, 2, 2, 0, 1, 2, 3, 2, 4, 3, 4, 1, 3, 1, 3, 3, 4, 4, 4, 3, 0, 3, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 3, 0, 1, 1, 4, 4, 0, 3, 4, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 3, 4, 3] pubkeycol1095 = [3, 2, 2, 2, 3, 2, 4, 1, 0, 4, 2, 4, 0, 4, 1, 3, 1, 3, 2, 2, 3, 0, 3, 1, 2, 4, 2, 2, 1, 0, 3, 0, 1, 3, 2, 2, 4, 2, 0, 0, 4, 4, 2, 3, 4, 1, 2, 2, 3, 2, 2, 2, 4, 1, 2, 1, 0, 2, 3, 4, 3, 1, 0, 3, 2, 3, 2, 1, 1, 0, 1, 2, 1, 0, 0, 3, 4, 1, 0, 4, 4, 2, 4, 2, 4, 4, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 4, 2, 0, 2, 3, 3, 2, 0, 2, 4, 0, 1, 2, 1, 4, 4, 2, 4, 0, 0, 3, 1, 1, 3, 3, 0, 4, 3, 1, 1, 2, 0, 4, 0, 0, 2, 1, 3, 4, 2, 3, 1, 0, 1, 3, 2, 0, 4, 0, 2, 0, 3, 1, 3, 3, 4, 1, 3, 4, 0, 2, 3, 4, 0, 3, 4, 1, 3, 4, 4, 0, 4, 0, 3, 3, 2, 0, 1, 2, 4, 4, 2, 0, 1, 4, 4, 0, 4, 3, 2, 3, 3, 4, 2, 3, 1, 4, 3, 3, 4, 4, 3, 3, 4, 1, 3, 2, 1, 0, 2, 2, 1, 3, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 4, 4, 3, 0, 1, 1, 3, 1, 0, 2, 3, 4, 2, 4, 2, 3, 0, 2, 4, 2, 1, 4, 1, 3, 0, 1, 0, 0, 4, 3, 3, 0, 3, 4, 1, 1, 1, 3, 4, 3, 0, 2, 0, 1, 0, 3, 2, 3, 0, 0, 4, 4, 0, 1, 2, 4, 1, 3, 2, 3, 4, 1, 4, 0, 2, 0, 0, 0, 4, 0, 2, 3, 3, 2, 1, 4, 3, 4, 1, 4, 3, 1, 4, 0, 1, 4, 2, 3, 4, 1, 1, 4, 4, 1, 4, 0, 2, 0, 0, 2, 0, 2, 0, 4, 0, 3, 3, 2, 0, 3, 2, 3, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 4, 3, 3, 2, 0, 4, 2, 4, 2, 0, 1, 1, 4, 4, 0, 0, 2, 3, 1, 4, 3, 1, 1, 1, 2, 2, 2, 1, 0, 4, 3, 4, 2, 3, 1, 2, 0, 1, 3, 2, 4, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 3, 3, 2, 4, 3, 4, 4, 3, 2, 4, 0, 1, 1, 2, 1, 1, 0, 2, 4, 0, 4, 0, 1, 0, 3, 0, 0, 4, 0, 3, 2, 3, 0, 1, 0, 4, 2, 4, 1, 4, 2, 3, 2, 2, 1, 1, 2, 0, 4, 3, 2, 2, 2, 0, 0, 4, 3, 2, 4, 1, 4, 0, 4, 1, 0, 1, 2, 4, 2, 2] pubkeycol1096 = [3, 4, 4, 0, 3, 2, 2, 3, 1, 0, 2, 1, 3, 3, 3, 4, 0, 2, 0, 0, 2, 1, 2, 4, 3, 3, 0, 4, 0, 4, 3, 1, 0, 1, 4, 0, 2, 3, 1, 4, 1, 3, 3, 1, 1, 2, 2, 4, 3, 3, 1, 4, 0, 0, 2, 2, 2, 1, 2, 3, 3, 1, 4, 4, 0, 4, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 4, 3, 3, 3, 0, 0, 3, 2, 1, 2, 0, 0, 3, 2, 3, 2, 3, 0, 0, 4, 3, 2, 2, 2, 4, 2, 2, 3, 2, 1, 4, 4, 0, 3, 1, 0, 4, 1, 1, 3, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 0, 3, 2, 0, 0, 2, 2, 3, 3, 3, 3, 1, 3, 0, 2, 2, 1, 1, 3, 4, 3, 0, 3, 3, 2, 2, 3, 0, 3, 0, 1, 1, 3, 1, 3, 0, 2, 4, 0, 4, 3, 2, 0, 1, 1, 1, 3, 2, 1, 1, 0, 2, 3, 0, 4, 0, 1, 4, 2, 3, 4, 3, 0, 0, 0, 4, 1, 1, 3, 4, 4, 3, 3, 1, 2, 3, 2, 3, 0, 3, 1, 1, 0, 3, 4, 4, 4, 1, 1, 1, 0, 0, 4, 2, 3, 3, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 4, 0, 0, 1, 0, 2, 1, 4, 3, 1, 3, 3, 3, 0, 4, 4, 2, 3, 3, 0, 3, 1, 3, 4, 0, 1, 3, 2, 0, 4, 3, 2, 4, 4, 1, 4, 3, 4, 2, 4, 2, 4, 3, 0, 1, 2, 3, 1, 1, 0, 4, 0, 0, 1, 2, 3, 2, 3, 0, 0, 2, 0, 1, 1, 2, 0, 3, 1, 2, 2, 0, 2, 4, 2, 3, 2, 3, 4, 3, 1, 1, 3, 0, 1, 2, 1, 1, 1, 4, 2, 4, 1, 1, 0, 0, 0, 2, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 0, 2, 3, 1, 4, 0, 2, 2, 1, 0, 2, 0, 2, 4, 1, 3, 1, 1, 2, 2, 3, 4, 3, 1, 0, 1, 3, 1, 3, 3, 0, 2, 4, 2, 3, 2, 4, 2, 1, 0, 2, 3, 2, 1, 0, 1, 3, 4, 2, 4, 0, 2, 4, 0, 2, 3, 0, 3, 3, 2, 4, 1, 3, 2, 4, 3, 4, 1, 2, 0, 3, 2, 2, 4, 2, 4, 2, 3, 3, 0, 2, 0, 2, 4, 4, 0, 0, 0, 3, 3, 3, 3, 1, 3, 0, 4, 3, 1, 4, 2, 3, 1, 4, 4, 4, 4, 0, 3, 1, 3, 3, 2, 0, 3, 3, 2, 1, 0, 2, 0, 0, 0, 1, 4, 4, 0, 4, 2, 0, 3, 1, 1, 0, 3, 0, 4] pubkeycol1097 = [2, 0, 3, 3, 2, 4, 1, 1, 3, 3, 4, 2, 0, 3, 2, 4, 4, 0, 4, 4, 4, 2, 1, 4, 0, 0, 0, 4, 2, 0, 1, 4, 4, 3, 4, 4, 4, 2, 4, 0, 0, 4, 2, 0, 4, 2, 2, 1, 3, 0, 3, 0, 4, 2, 1, 3, 4, 3, 3, 0, 1, 2, 3, 0, 4, 4, 2, 2, 4, 2, 2, 1, 1, 1, 0, 3, 0, 2, 4, 4, 1, 1, 2, 1, 3, 2, 3, 0, 1, 1, 2, 1, 0, 3, 0, 1, 3, 4, 3, 0, 1, 1, 4, 0, 3, 0, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 3, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 4, 2, 4, 4, 2, 3, 3, 1, 4, 3, 2, 2, 1, 4, 3, 4, 1, 3, 0, 1, 0, 3, 0, 0, 1, 4, 4, 4, 3, 1, 2, 3, 2, 1, 2, 2, 0, 0, 3, 4, 1, 1, 3, 2, 1, 0, 3, 3, 2, 1, 0, 4, 0, 2, 3, 0, 4, 0, 0, 2, 4, 1, 1, 4, 2, 4, 0, 1, 3, 4, 0, 1, 1, 2, 2, 3, 2, 4, 0, 4, 1, 1, 0, 3, 2, 4, 1, 4, 0, 0, 4, 0, 0, 0, 1, 2, 1, 3, 1, 1, 1, 3, 4, 1, 0, 0, 3, 4, 3, 4, 0, 4, 4, 4, 0, 1, 0, 2, 2, 3, 3, 2, 4, 0, 1, 3, 1, 0, 4, 0, 2, 4, 2, 4, 0, 0, 3, 3, 0, 2, 0, 4, 3, 1, 3, 1, 1, 2, 3, 1, 0, 1, 0, 3, 2, 3, 0, 4, 4, 2, 2, 1, 0, 1, 2, 0, 2, 0, 4, 3, 3, 0, 3, 1, 3, 0, 4, 1, 4, 2, 2, 4, 4, 3, 3, 1, 3, 4, 0, 0, 1, 3, 4, 2, 2, 4, 4, 3, 4, 1, 4, 0, 4, 2, 0, 1, 0, 0, 3, 0, 2, 4, 4, 0, 1, 4, 2, 2, 2, 3, 3, 0, 3, 1, 2, 1, 1, 3, 1, 0, 0, 1, 2, 0, 1, 2, 1, 3, 2, 1, 3, 0, 2, 2, 1, 4, 4, 2, 0, 4, 2, 3, 4, 0, 1, 0, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 0, 1, 1, 3, 2, 4, 4, 4, 1, 2, 1, 1, 2, 0, 0, 1, 1, 3, 2, 2, 1, 0, 1, 4, 2, 2, 1, 4, 3, 0, 1, 4, 1, 4, 3, 3, 2, 3, 0, 4, 4, 1, 0, 0, 3, 3, 0, 1, 2, 0, 4, 4, 0, 3, 2, 2, 4, 3, 0, 2, 4, 4, 1, 2, 4, 2, 4, 4, 3, 1, 2, 3, 4, 0, 1, 2, 1, 3, 1, 1, 1, 2, 4, 3] pubkeycol1098 = [4, 1, 0, 1, 0, 2, 4, 2, 0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 1, 2, 4, 0, 0, 2, 3, 1, 3, 4, 3, 3, 1, 4, 1, 2, 3, 3, 3, 4, 4, 2, 1, 1, 3, 4, 2, 4, 2, 1, 0, 2, 3, 2, 3, 2, 0, 3, 2, 2, 0, 1, 1, 0, 1, 4, 4, 4, 0, 2, 2, 4, 2, 0, 0, 4, 1, 3, 0, 1, 2, 3, 4, 4, 0, 0, 4, 4, 0, 4, 4, 3, 3, 1, 3, 1, 2, 0, 1, 2, 2, 4, 2, 2, 0, 4, 4, 4, 4, 3, 0, 3, 2, 4, 1, 2, 0, 3, 4, 1, 0, 3, 1, 3, 2, 3, 3, 3, 3, 2, 2, 1, 3, 3, 0, 3, 0, 2, 4, 1, 0, 0, 4, 2, 3, 0, 3, 3, 3, 2, 3, 0, 3, 0, 3, 2, 3, 3, 4, 2, 2, 1, 3, 0, 3, 1, 0, 4, 1, 0, 3, 4, 2, 4, 2, 4, 4, 3, 0, 4, 2, 1, 4, 0, 3, 1, 4, 2, 3, 0, 4, 3, 1, 4, 2, 1, 3, 4, 1, 1, 0, 4, 2, 1, 2, 0, 1, 4, 3, 2, 0, 1, 0, 4, 1, 3, 4, 4, 0, 1, 1, 3, 2, 2, 2, 0, 0, 0, 1, 2, 4, 0, 1, 4, 2, 4, 3, 0, 0, 4, 0, 3, 1, 3, 4, 1, 0, 4, 2, 4, 3, 2, 2, 0, 4, 0, 2, 0, 3, 4, 3, 4, 3, 3, 4, 2, 0, 1, 1, 4, 3, 2, 0, 1, 4, 4, 3, 1, 4, 2, 1, 4, 2, 3, 4, 1, 0, 3, 0, 1, 4, 4, 0, 1, 4, 1, 4, 1, 1, 4, 2, 4, 1, 4, 1, 0, 1, 3, 0, 1, 4, 4, 2, 1, 0, 2, 0, 0, 0, 3, 0, 4, 1, 0, 3, 3, 4, 2, 0, 1, 3, 3, 4, 0, 0, 4, 2, 2, 1, 3, 1, 3, 1, 0, 4, 1, 1, 3, 4, 0, 1, 3, 3, 3, 1, 0, 0, 3, 3, 1, 2, 4, 2, 0, 3, 2, 3, 3, 1, 4, 3, 3, 0, 3, 2, 1, 4, 1, 3, 0, 0, 0, 4, 2, 3, 2, 3, 4, 3, 4, 0, 1, 3, 2, 3, 3, 2, 3, 3, 1, 0, 4, 4, 1, 0, 2, 2, 0, 0, 3, 0, 2, 1, 0, 2, 4, 0, 1, 1, 4, 1, 2, 2, 2, 0, 2, 0, 3, 1, 3, 4, 4, 1, 1, 4, 0, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 4, 2, 0, 0, 2, 2, 2, 3, 0, 0, 0, 3, 0, 0, 0, 1, 2, 4, 3, 4, 4, 1, 4, 0, 4, 4, 1, 1, 2, 4, 1, 1, 3, 0, 3, 3] pubkeycol1099 = [2, 1, 3, 4, 0, 4, 0, 4, 3, 1, 3, 0, 1, 4, 3, 3, 0, 4, 4, 4, 2, 0, 2, 4, 4, 0, 0, 0, 4, 3, 3, 2, 2, 2, 1, 2, 4, 3, 4, 4, 1, 4, 0, 3, 2, 4, 2, 0, 0, 4, 4, 4, 3, 4, 4, 4, 3, 1, 3, 4, 4, 4, 2, 1, 0, 3, 0, 4, 2, 2, 0, 3, 0, 0, 3, 3, 3, 0, 1, 4, 3, 2, 1, 4, 2, 3, 2, 3, 4, 1, 2, 4, 0, 4, 0, 4, 3, 3, 4, 3, 2, 2, 2, 0, 2, 1, 3, 3, 2, 0, 2, 3, 2, 1, 0, 1, 0, 1, 3, 4, 3, 0, 3, 1, 4, 2, 0, 4, 1, 1, 4, 4, 2, 0, 4, 0, 3, 0, 0, 4, 1, 4, 2, 1, 2, 1, 2, 2, 1, 1, 3, 4, 4, 2, 2, 3, 1, 1, 1, 3, 1, 4, 4, 3, 2, 1, 0, 1, 2, 0, 4, 0, 1, 0, 3, 0, 0, 0, 3, 2, 0, 2, 4, 3, 1, 0, 1, 1, 4, 3, 1, 0, 0, 3, 1, 2, 0, 1, 1, 1, 2, 4, 2, 3, 0, 3, 4, 1, 1, 4, 3, 3, 1, 1, 2, 3, 4, 3, 0, 3, 3, 4, 2, 1, 0, 2, 1, 3, 3, 4, 3, 3, 1, 0, 3, 3, 3, 1, 2, 1, 1, 3, 4, 3, 3, 1, 2, 1, 0, 1, 2, 3, 1, 1, 1, 1, 3, 4, 2, 4, 4, 0, 0, 3, 0, 3, 2, 0, 4, 2, 2, 3, 3, 3, 4, 3, 1, 4, 3, 4, 2, 2, 4, 3, 3, 2, 1, 1, 3, 0, 4, 4, 2, 3, 0, 2, 3, 0, 0, 3, 0, 2, 2, 3, 3, 2, 2, 0, 4, 2, 3, 3, 3, 4, 2, 0, 0, 0, 3, 4, 0, 1, 2, 1, 2, 3, 3, 4, 0, 0, 4, 0, 0, 1, 3, 1, 0, 2, 0, 3, 4, 2, 2, 4, 0, 3, 2, 1, 3, 3, 4, 2, 1, 1, 1, 4, 3, 2, 4, 0, 4, 3, 4, 0, 3, 0, 1, 4, 4, 1, 4, 4, 3, 4, 1, 3, 4, 0, 3, 2, 4, 3, 4, 3, 4, 3, 2, 0, 3, 4, 4, 1, 4, 3, 3, 0, 0, 1, 0, 2, 2, 4, 2, 0, 2, 0, 3, 4, 4, 3, 4, 3, 3, 2, 3, 0, 0, 4, 0, 4, 1, 0, 3, 1, 0, 3, 4, 1, 3, 1, 4, 2, 2, 0, 0, 3, 3, 4, 2, 4, 3, 0, 3, 4, 3, 2, 3, 3, 3, 0, 0, 0, 4, 1, 0, 4, 0, 0, 4, 4, 2, 4, 1, 0, 1, 0, 3, 2, 4, 1, 3, 0, 1, 0, 0, 0, 4, 4, 3, 2] pubkeycol1100 = [4, 2, 2, 4, 2, 3, 0, 4, 1, 2, 3, 0, 2, 0, 4, 0, 3, 2, 3, 3, 3, 1, 1, 2, 1, 2, 0, 0, 0, 0, 3, 2, 4, 2, 0, 3, 3, 2, 4, 4, 0, 1, 2, 3, 2, 0, 2, 2, 4, 1, 2, 2, 1, 2, 3, 0, 4, 1, 4, 2, 3, 0, 4, 4, 1, 2, 3, 1, 0, 3, 4, 2, 4, 4, 0, 3, 3, 0, 4, 1, 1, 4, 3, 2, 4, 3, 4, 2, 4, 1, 2, 4, 3, 4, 0, 4, 1, 3, 3, 1, 2, 2, 4, 3, 2, 4, 2, 1, 4, 3, 2, 0, 3, 1, 1, 4, 2, 3, 0, 4, 2, 4, 2, 2, 3, 1, 1, 4, 1, 2, 0, 1, 2, 0, 0, 0, 2, 3, 2, 2, 3, 2, 0, 4, 0, 4, 2, 4, 0, 0, 0, 1, 3, 3, 1, 1, 2, 3, 1, 2, 3, 0, 2, 4, 4, 2, 3, 0, 1, 3, 3, 2, 2, 0, 0, 1, 3, 3, 0, 1, 1, 2, 3, 2, 4, 1, 4, 1, 3, 1, 2, 2, 4, 0, 4, 1, 3, 0, 4, 1, 1, 0, 0, 3, 2, 2, 4, 3, 4, 3, 0, 1, 2, 4, 2, 0, 3, 2, 1, 4, 1, 4, 2, 4, 4, 0, 0, 1, 3, 2, 2, 4, 0, 1, 3, 2, 4, 2, 0, 1, 2, 1, 4, 3, 2, 4, 2, 0, 4, 0, 0, 2, 3, 4, 3, 4, 3, 0, 3, 2, 0, 0, 0, 4, 2, 2, 4, 1, 2, 1, 2, 2, 4, 4, 1, 3, 3, 1, 3, 3, 4, 2, 4, 3, 1, 4, 3, 3, 3, 0, 1, 2, 4, 4, 4, 0, 3, 3, 0, 3, 0, 3, 1, 3, 1, 2, 1, 0, 1, 3, 0, 4, 3, 1, 4, 1, 2, 4, 0, 4, 1, 4, 3, 1, 1, 2, 1, 4, 0, 1, 2, 0, 4, 1, 2, 1, 1, 4, 2, 3, 0, 4, 2, 1, 1, 3, 3, 1, 0, 2, 4, 0, 1, 2, 0, 3, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 4, 2, 3, 1, 4, 0, 0, 1, 2, 0, 1, 3, 1, 4, 4, 1, 0, 3, 1, 3, 2, 0, 0, 4, 2, 0, 0, 4, 1, 0, 4, 0, 4, 0, 2, 0, 3, 1, 3, 3, 3, 0, 4, 1, 3, 2, 2, 2, 4, 4, 1, 3, 0, 3, 4, 0, 3, 4, 1, 1, 4, 4, 2, 4, 2, 3, 3, 4, 4, 3, 2, 2, 0, 3, 3, 1, 2, 3, 3, 2, 3, 1, 1, 3, 1, 4, 3, 1, 0, 3, 3, 2, 2, 1, 2, 1, 3, 2, 1, 2, 1, 2, 4, 2, 0, 1, 3, 0, 2, 0, 4, 3] pubkeycol1101 = [0, 0, 0, 2, 3, 2, 2, 4, 4, 4, 0, 1, 1, 3, 4, 4, 4, 4, 3, 4, 1, 1, 4, 2, 1, 3, 2, 2, 2, 0, 2, 2, 0, 4, 2, 3, 2, 0, 3, 0, 0, 0, 4, 2, 2, 1, 4, 0, 4, 3, 4, 1, 4, 1, 0, 4, 1, 1, 1, 4, 4, 2, 4, 1, 4, 2, 0, 0, 4, 2, 0, 2, 3, 4, 3, 0, 2, 4, 2, 4, 3, 1, 3, 3, 1, 2, 4, 4, 2, 2, 1, 4, 4, 2, 3, 1, 2, 2, 3, 4, 1, 1, 4, 3, 0, 3, 1, 0, 2, 1, 2, 0, 4, 2, 4, 3, 0, 0, 3, 3, 3, 1, 1, 1, 2, 0, 1, 1, 2, 1, 3, 4, 0, 4, 1, 1, 1, 1, 1, 1, 3, 4, 2, 1, 3, 0, 2, 0, 4, 3, 1, 4, 1, 4, 3, 0, 3, 4, 3, 3, 1, 4, 1, 0, 0, 4, 4, 1, 2, 4, 4, 4, 0, 4, 0, 1, 2, 0, 2, 1, 1, 2, 2, 4, 2, 2, 2, 4, 1, 1, 0, 4, 3, 0, 3, 4, 3, 3, 1, 1, 0, 3, 4, 0, 1, 3, 0, 1, 2, 0, 3, 2, 2, 2, 1, 2, 0, 1, 2, 3, 3, 0, 4, 0, 2, 0, 4, 0, 4, 3, 1, 1, 0, 1, 0, 1, 4, 1, 2, 3, 2, 3, 1, 1, 3, 3, 4, 2, 4, 3, 2, 0, 4, 3, 2, 4, 1, 0, 1, 2, 3, 3, 1, 0, 0, 2, 2, 1, 0, 4, 1, 4, 2, 4, 0, 1, 0, 1, 4, 2, 0, 0, 1, 3, 2, 2, 4, 3, 2, 0, 0, 3, 1, 3, 4, 1, 2, 3, 2, 4, 2, 0, 1, 4, 1, 0, 0, 3, 3, 4, 0, 2, 1, 1, 0, 4, 1, 2, 3, 0, 2, 2, 0, 2, 0, 1, 0, 3, 3, 0, 3, 1, 3, 1, 3, 0, 4, 0, 3, 4, 1, 0, 0, 2, 2, 1, 3, 4, 2, 3, 4, 4, 2, 4, 3, 3, 3, 0, 2, 4, 3, 0, 4, 3, 4, 0, 3, 1, 2, 0, 1, 4, 3, 1, 1, 2, 3, 0, 4, 1, 2, 0, 3, 0, 4, 0, 4, 2, 4, 0, 2, 2, 1, 3, 2, 0, 4, 1, 0, 1, 4, 2, 0, 4, 0, 1, 3, 3, 4, 2, 4, 2, 1, 1, 4, 2, 4, 0, 4, 3, 2, 4, 3, 4, 2, 1, 3, 0, 3, 2, 1, 3, 3, 3, 0, 1, 1, 3, 4, 1, 2, 0, 1, 2, 1, 3, 2, 2, 0, 3, 1, 2, 2, 3, 0, 4, 2, 4, 4, 3, 1, 2, 0, 4, 3, 4, 0, 0, 2, 3, 0, 1, 2, 0, 3, 4, 0, 3, 3, 0] pubkeycol1102 = [0, 2, 2, 2, 0, 4, 0, 1, 2, 1, 0, 1, 3, 1, 1, 0, 3, 1, 0, 4, 0, 4, 2, 3, 0, 4, 4, 0, 2, 0, 1, 0, 1, 4, 0, 3, 3, 1, 0, 3, 2, 2, 3, 4, 4, 1, 4, 2, 0, 4, 3, 3, 3, 1, 4, 1, 3, 2, 3, 4, 4, 2, 1, 4, 2, 4, 1, 0, 3, 3, 2, 3, 4, 1, 1, 3, 4, 3, 3, 3, 4, 4, 0, 3, 2, 4, 1, 0, 3, 3, 2, 1, 4, 4, 4, 3, 1, 1, 4, 2, 1, 0, 1, 0, 2, 4, 2, 0, 4, 2, 1, 1, 0, 3, 0, 4, 3, 0, 3, 2, 3, 0, 0, 4, 1, 2, 2, 1, 2, 2, 4, 2, 2, 4, 1, 4, 4, 3, 0, 2, 0, 2, 1, 4, 4, 3, 3, 4, 1, 2, 2, 2, 3, 1, 2, 0, 4, 0, 4, 1, 4, 0, 0, 0, 4, 4, 1, 4, 1, 4, 4, 4, 1, 4, 2, 4, 3, 3, 1, 1, 2, 3, 4, 3, 0, 0, 2, 4, 4, 1, 4, 3, 1, 3, 3, 0, 0, 3, 2, 3, 4, 3, 0, 2, 2, 1, 4, 4, 0, 2, 4, 4, 1, 1, 0, 2, 3, 2, 3, 0, 2, 2, 0, 4, 1, 0, 0, 0, 2, 0, 0, 3, 3, 1, 3, 2, 3, 4, 0, 3, 2, 0, 0, 4, 3, 1, 0, 0, 2, 2, 0, 0, 3, 4, 2, 0, 4, 1, 0, 2, 0, 0, 3, 0, 4, 4, 3, 4, 0, 4, 3, 1, 1, 2, 2, 3, 4, 3, 2, 0, 2, 4, 3, 3, 1, 2, 2, 1, 1, 0, 3, 4, 3, 1, 4, 0, 1, 4, 0, 3, 0, 1, 4, 1, 1, 0, 3, 0, 1, 4, 3, 4, 4, 4, 0, 0, 1, 1, 3, 2, 0, 4, 0, 0, 4, 0, 3, 0, 3, 0, 0, 2, 4, 1, 2, 3, 2, 0, 2, 0, 3, 1, 3, 2, 0, 0, 4, 2, 0, 0, 2, 2, 0, 4, 3, 0, 4, 0, 0, 2, 0, 3, 3, 4, 4, 0, 3, 0, 2, 2, 2, 4, 4, 1, 4, 4, 0, 1, 1, 0, 2, 1, 3, 1, 0, 4, 2, 2, 3, 3, 2, 3, 4, 1, 4, 2, 1, 2, 3, 2, 3, 3, 1, 2, 0, 1, 3, 3, 1, 0, 4, 2, 3, 4, 1, 2, 4, 0, 1, 4, 3, 2, 3, 0, 0, 2, 2, 3, 0, 3, 4, 0, 1, 2, 3, 0, 3, 0, 4, 0, 1, 1, 3, 4, 0, 0, 1, 0, 0, 2, 0, 3, 2, 2, 0, 3, 4, 1, 1, 1, 1, 4, 3, 1, 4, 3, 2, 4, 2, 3, 3, 4, 2, 1, 2, 1, 3, 0, 1, 1] pubkeycol1103 = [1, 2, 0, 4, 1, 1, 0, 3, 1, 2, 3, 4, 0, 0, 3, 4, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 4, 2, 2, 3, 4, 2, 1, 3, 0, 2, 3, 0, 1, 4, 2, 0, 2, 0, 3, 0, 4, 4, 2, 1, 3, 0, 3, 3, 2, 3, 2, 3, 2, 0, 2, 4, 3, 4, 2, 4, 4, 3, 2, 0, 1, 0, 2, 0, 2, 0, 3, 2, 4, 2, 3, 3, 4, 1, 1, 3, 4, 1, 2, 0, 0, 0, 0, 4, 1, 3, 0, 1, 4, 1, 1, 3, 3, 2, 4, 3, 3, 4, 3, 1, 3, 2, 3, 1, 0, 0, 4, 0, 3, 4, 2, 3, 2, 1, 2, 3, 2, 1, 1, 2, 0, 4, 4, 0, 1, 2, 2, 4, 2, 3, 0, 3, 0, 3, 3, 0, 3, 4, 3, 2, 3, 4, 1, 4, 1, 1, 4, 3, 0, 3, 2, 2, 1, 3, 1, 0, 3, 0, 3, 0, 4, 2, 0, 2, 1, 3, 1, 4, 3, 3, 3, 0, 3, 0, 4, 2, 4, 4, 2, 0, 4, 2, 1, 2, 2, 0, 3, 1, 0, 2, 3, 1, 2, 1, 4, 0, 0, 0, 3, 4, 4, 4, 0, 4, 0, 2, 0, 1, 4, 1, 4, 2, 2, 1, 4, 3, 4, 4, 3, 4, 2, 2, 4, 4, 1, 0, 4, 2, 4, 4, 2, 3, 3, 4, 0, 3, 2, 0, 4, 0, 1, 1, 3, 1, 1, 2, 1, 4, 4, 3, 3, 0, 4, 1, 4, 4, 2, 1, 3, 0, 2, 3, 4, 0, 0, 1, 0, 3, 1, 3, 2, 0, 4, 3, 1, 3, 1, 1, 2, 0, 1, 2, 2, 4, 4, 2, 2, 4, 3, 2, 4, 4, 1, 0, 2, 2, 3, 1, 2, 3, 2, 3, 0, 4, 1, 3, 2, 1, 4, 0, 1, 3, 3, 3, 2, 2, 4, 3, 3, 2, 0, 3, 0, 4, 3, 0, 2, 3, 0, 4, 4, 4, 3, 3, 2, 4, 3, 2, 3, 1, 3, 4, 0, 1, 3, 3, 2, 1, 3, 0, 2, 1, 2, 4, 2, 0, 3, 3, 2, 0, 3, 2, 2, 1, 0, 3, 4, 1, 2, 0, 0, 0, 1, 0, 3, 0, 1, 0, 4, 2, 1, 0, 0, 3, 2, 4, 0, 2, 0, 2, 1, 1, 3, 0, 3, 1, 3, 1, 4, 1, 4, 3, 1, 0, 0, 4, 4, 0, 4, 3, 2, 1, 4, 0, 1, 0, 2, 1, 4, 4, 3, 1, 0, 1, 3, 1, 4, 1, 1, 1, 1, 2, 4, 1, 3, 4, 3, 1, 3, 1, 1, 2, 2, 0, 4, 2, 1, 4, 1, 0, 0, 2, 2, 0, 2, 0, 4, 4, 3, 2, 1, 2, 4, 0, 3, 4, 3, 4, 2, 2] pubkeycol1104 = [3, 0, 4, 3, 2, 0, 0, 0, 0, 2, 1, 4, 3, 1, 2, 4, 2, 0, 2, 1, 1, 3, 3, 1, 0, 3, 3, 2, 0, 0, 3, 4, 0, 3, 2, 3, 0, 3, 0, 2, 1, 3, 0, 2, 4, 3, 1, 1, 4, 1, 1, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 0, 3, 0, 0, 4, 2, 0, 3, 2, 0, 2, 4, 3, 1, 4, 1, 4, 4, 0, 1, 0, 2, 1, 4, 2, 1, 0, 0, 1, 1, 3, 2, 0, 1, 1, 0, 4, 2, 3, 3, 1, 4, 0, 1, 0, 4, 4, 0, 4, 2, 0, 4, 2, 2, 0, 4, 3, 2, 3, 4, 3, 3, 1, 1, 4, 2, 0, 0, 2, 0, 4, 2, 3, 4, 2, 1, 3, 2, 3, 2, 0, 3, 1, 3, 0, 3, 0, 4, 0, 0, 1, 4, 2, 0, 3, 0, 2, 3, 0, 0, 4, 2, 3, 4, 4, 2, 2, 3, 4, 0, 3, 1, 2, 1, 0, 4, 0, 4, 0, 3, 4, 0, 2, 2, 1, 0, 2, 2, 3, 1, 3, 1, 1, 4, 2, 4, 1, 1, 3, 1, 4, 1, 4, 4, 0, 4, 0, 0, 0, 2, 4, 0, 1, 2, 3, 0, 3, 1, 3, 1, 1, 1, 0, 2, 3, 3, 3, 1, 0, 2, 1, 2, 3, 3, 2, 4, 4, 0, 1, 3, 0, 3, 3, 1, 2, 2, 4, 3, 2, 0, 1, 2, 2, 0, 3, 4, 1, 0, 2, 0, 4, 3, 0, 3, 1, 0, 3, 4, 0, 4, 3, 0, 4, 1, 1, 2, 0, 3, 2, 4, 1, 4, 3, 2, 4, 3, 0, 3, 1, 1, 4, 0, 0, 2, 3, 0, 4, 1, 3, 0, 3, 4, 3, 0, 3, 4, 4, 0, 2, 4, 2, 4, 1, 3, 4, 0, 1, 4, 1, 1, 0, 4, 3, 4, 0, 4, 0, 3, 3, 4, 3, 3, 1, 2, 2, 4, 1, 1, 0, 2, 2, 4, 4, 1, 2, 1, 3, 2, 1, 1, 0, 0, 0, 4, 3, 1, 3, 1, 4, 0, 3, 0, 4, 0, 0, 4, 3, 1, 2, 1, 2, 3, 3, 3, 4, 2, 1, 1, 2, 2, 0, 3, 1, 0, 3, 3, 4, 3, 4, 2, 3, 2, 4, 2, 3, 1, 3, 0, 1, 0, 3, 3, 2, 2, 1, 4, 0, 3, 3, 1, 3, 4, 0, 2, 1, 4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 3, 3, 1, 2, 2, 0, 0, 4, 2, 3, 2, 3, 0, 2, 2, 2, 4, 3, 4, 3, 0, 1, 3, 3, 0, 2, 2, 1, 0, 0, 1, 0, 2, 3, 3, 1, 0, 3, 4, 0, 2, 0, 1, 4, 1, 0, 2, 4, 1, 4, 0, 0, 0, 2] pubkeycol1105 = [3, 1, 3, 3, 2, 3, 2, 3, 3, 0, 0, 0, 0, 1, 3, 3, 1, 0, 0, 3, 4, 3, 3, 3, 3, 4, 4, 0, 2, 1, 3, 3, 2, 1, 0, 3, 2, 4, 2, 1, 0, 0, 0, 2, 2, 1, 1, 4, 2, 3, 0, 1, 3, 1, 1, 1, 4, 2, 4, 0, 4, 3, 2, 2, 2, 2, 2, 2, 4, 2, 0, 4, 4, 2, 2, 1, 2, 4, 2, 1, 0, 1, 3, 4, 0, 4, 2, 0, 0, 0, 0, 3, 4, 2, 3, 0, 0, 4, 0, 1, 2, 1, 4, 4, 1, 3, 4, 4, 3, 2, 2, 2, 4, 0, 1, 4, 2, 1, 2, 3, 3, 3, 3, 3, 2, 0, 1, 3, 4, 2, 3, 1, 1, 3, 3, 0, 1, 4, 3, 2, 1, 2, 1, 3, 4, 2, 1, 3, 3, 0, 4, 4, 4, 0, 4, 3, 4, 2, 3, 0, 0, 2, 0, 3, 0, 2, 4, 0, 3, 3, 1, 3, 4, 0, 1, 1, 0, 3, 3, 0, 1, 3, 4, 2, 0, 3, 3, 2, 3, 1, 1, 1, 4, 4, 2, 1, 1, 0, 1, 0, 4, 2, 2, 3, 3, 3, 3, 2, 2, 2, 1, 3, 4, 1, 4, 3, 2, 3, 4, 4, 4, 2, 1, 3, 2, 4, 2, 2, 4, 0, 0, 4, 3, 1, 1, 1, 1, 4, 4, 3, 4, 4, 0, 0, 1, 1, 1, 4, 1, 3, 2, 2, 3, 4, 1, 1, 1, 4, 4, 1, 3, 0, 3, 1, 1, 3, 1, 0, 2, 0, 2, 1, 4, 1, 4, 3, 0, 3, 1, 4, 0, 3, 1, 4, 3, 0, 1, 3, 3, 1, 0, 4, 4, 3, 4, 1, 1, 1, 2, 2, 3, 2, 3, 1, 1, 4, 2, 1, 0, 0, 2, 4, 4, 4, 4, 3, 1, 0, 2, 0, 0, 2, 0, 1, 4, 1, 0, 0, 2, 0, 4, 2, 4, 1, 4, 4, 4, 4, 3, 3, 4, 1, 0, 1, 4, 0, 0, 2, 0, 2, 1, 0, 1, 3, 4, 2, 0, 1, 3, 1, 2, 3, 0, 2, 3, 3, 2, 4, 3, 0, 1, 0, 1, 0, 2, 1, 3, 3, 1, 1, 0, 2, 4, 4, 3, 0, 3, 3, 3, 3, 4, 3, 1, 4, 3, 3, 2, 2, 3, 1, 0, 4, 0, 1, 1, 4, 1, 1, 0, 4, 0, 0, 3, 4, 0, 0, 1, 0, 4, 4, 1, 1, 1, 3, 4, 1, 2, 1, 3, 3, 3, 4, 3, 4, 1, 2, 4, 4, 0, 4, 1, 0, 1, 0, 3, 4, 2, 3, 0, 1, 0, 1, 1, 4, 1, 0, 2, 0, 3, 2, 2, 1, 0, 3, 1, 2, 3, 1, 2, 2, 4, 4, 2, 2, 1, 1, 0, 0, 4, 3] pubkeycol1106 = [2, 4, 1, 0, 1, 1, 1, 3, 4, 4, 1, 3, 2, 3, 2, 2, 2, 3, 0, 4, 1, 4, 4, 2, 1, 1, 4, 1, 4, 1, 0, 0, 1, 4, 3, 4, 2, 4, 4, 4, 1, 4, 2, 2, 3, 4, 1, 0, 0, 2, 4, 2, 0, 0, 4, 2, 0, 1, 4, 0, 1, 1, 4, 4, 0, 1, 0, 3, 4, 4, 4, 1, 0, 4, 1, 4, 4, 1, 0, 4, 2, 2, 1, 3, 4, 1, 1, 0, 0, 3, 3, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 4, 4, 3, 2, 4, 1, 2, 2, 2, 3, 0, 1, 3, 3, 1, 2, 0, 0, 3, 1, 2, 2, 0, 1, 3, 2, 3, 3, 4, 2, 4, 0, 1, 1, 3, 4, 2, 1, 4, 0, 1, 1, 0, 1, 3, 2, 2, 1, 4, 0, 2, 4, 1, 2, 4, 4, 1, 0, 2, 2, 3, 3, 3, 3, 4, 2, 2, 2, 4, 2, 1, 0, 4, 3, 0, 2, 0, 3, 0, 2, 1, 4, 4, 4, 2, 1, 3, 0, 1, 1, 1, 4, 4, 3, 0, 0, 3, 4, 4, 2, 3, 1, 3, 4, 2, 2, 3, 4, 1, 3, 1, 1, 3, 0, 4, 4, 2, 1, 3, 3, 1, 0, 0, 3, 4, 2, 4, 2, 1, 2, 3, 3, 3, 3, 1, 1, 2, 4, 3, 0, 1, 0, 4, 0, 4, 0, 1, 2, 4, 2, 2, 3, 4, 1, 4, 4, 4, 1, 0, 1, 2, 3, 0, 2, 4, 0, 1, 1, 4, 0, 1, 4, 3, 2, 1, 3, 3, 1, 3, 1, 1, 4, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 4, 2, 0, 4, 2, 1, 3, 3, 2, 1, 4, 2, 0, 3, 2, 0, 2, 2, 4, 3, 0, 2, 3, 4, 1, 1, 4, 4, 0, 4, 0, 0, 2, 4, 2, 3, 4, 1, 3, 0, 1, 2, 2, 4, 3, 3, 3, 4, 3, 4, 1, 3, 1, 2, 0, 1, 2, 3, 0, 4, 1, 3, 1, 2, 1, 3, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 3, 4, 0, 3, 1, 3, 4, 1, 3, 0, 4, 2, 2, 1, 0, 4, 1, 4, 0, 2, 1, 1, 4, 2, 4, 3, 3, 3, 4, 3, 2, 3, 2, 0, 3, 1, 2, 0, 1, 4, 4, 2, 4, 2, 1, 0, 0, 4, 4, 1, 0, 1, 3, 3, 2, 0, 4, 1, 4, 0, 0, 4, 1, 0, 0, 0, 4, 3, 1, 3, 4, 4, 2, 2, 3, 2, 1, 1, 1, 1, 0, 0, 3, 1, 2, 3, 0, 0, 3, 2, 1, 4, 3, 4, 1, 1, 0, 4, 4, 2, 1, 1, 1, 1, 2, 4] pubkeycol1107 = [2, 0, 1, 1, 0, 0, 3, 4, 4, 0, 2, 3, 1, 0, 1, 3, 1, 2, 3, 4, 0, 0, 2, 2, 3, 0, 0, 4, 0, 0, 0, 0, 1, 3, 2, 1, 0, 1, 4, 2, 2, 1, 0, 0, 1, 2, 2, 4, 4, 2, 0, 3, 3, 3, 2, 0, 0, 2, 3, 0, 4, 0, 1, 2, 0, 4, 4, 3, 1, 2, 2, 0, 1, 3, 4, 4, 0, 4, 3, 1, 2, 3, 2, 1, 2, 1, 0, 1, 3, 2, 3, 0, 4, 1, 1, 0, 0, 0, 1, 3, 3, 4, 4, 2, 0, 3, 3, 2, 3, 1, 2, 0, 1, 1, 3, 4, 3, 4, 0, 2, 2, 3, 1, 1, 0, 0, 0, 1, 4, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 4, 3, 0, 0, 3, 0, 0, 3, 1, 2, 1, 0, 4, 1, 2, 1, 0, 4, 4, 2, 2, 0, 4, 3, 3, 2, 0, 2, 0, 3, 3, 4, 3, 2, 1, 4, 4, 1, 4, 1, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 1, 2, 3, 1, 1, 0, 4, 3, 1, 1, 1, 0, 4, 4, 4, 1, 1, 3, 0, 4, 0, 0, 2, 4, 2, 3, 1, 3, 2, 2, 3, 4, 4, 2, 2, 0, 2, 0, 2, 1, 1, 3, 1, 4, 3, 0, 4, 0, 1, 3, 3, 2, 4, 3, 3, 4, 2, 0, 3, 1, 0, 0, 0, 4, 1, 4, 1, 1, 1, 2, 2, 3, 4, 2, 1, 0, 4, 3, 0, 3, 4, 3, 4, 2, 4, 4, 0, 2, 2, 1, 3, 0, 0, 1, 4, 2, 0, 4, 4, 1, 4, 3, 3, 1, 4, 1, 0, 0, 2, 1, 3, 1, 4, 1, 0, 2, 1, 4, 2, 1, 3, 2, 1, 0, 0, 3, 4, 4, 2, 1, 2, 1, 2, 0, 4, 1, 1, 1, 2, 3, 2, 0, 1, 0, 2, 3, 0, 3, 2, 2, 1, 3, 2, 1, 3, 0, 4, 4, 1, 0, 3, 1, 2, 2, 4, 0, 4, 3, 2, 2, 2, 2, 3, 4, 1, 2, 1, 1, 0, 2, 4, 0, 0, 2, 4, 2, 2, 1, 1, 4, 2, 4, 2, 3, 2, 0, 4, 0, 1, 2, 4, 2, 2, 3, 3, 2, 0, 3, 0, 3, 0, 2, 4, 2, 2, 3, 3, 2, 0, 0, 2, 1, 2, 2, 0, 2, 3, 3, 2, 3, 4, 4, 4, 4, 4, 3, 3, 0, 2, 4, 4, 1, 2, 3, 1, 2, 1, 1, 1, 1, 2, 0, 4, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 4, 3, 1, 2, 4, 4, 1, 4, 0, 0, 1, 4, 4, 2, 0, 0, 3, 2, 0, 2, 1, 2] pubkeycol1108 = [2, 1, 4, 1, 3, 0, 3, 2, 4, 2, 0, 4, 0, 4, 4, 0, 4, 1, 1, 4, 1, 1, 2, 3, 3, 2, 3, 0, 1, 1, 3, 1, 0, 2, 4, 2, 3, 2, 3, 0, 3, 4, 3, 2, 4, 1, 1, 4, 3, 0, 0, 2, 3, 2, 2, 4, 2, 3, 0, 4, 3, 2, 4, 3, 0, 3, 1, 2, 3, 1, 0, 0, 4, 2, 3, 0, 4, 4, 3, 2, 1, 2, 3, 0, 4, 4, 1, 0, 3, 3, 1, 4, 2, 4, 1, 4, 1, 1, 0, 3, 1, 2, 3, 1, 3, 4, 1, 3, 1, 1, 4, 0, 2, 3, 1, 1, 1, 0, 0, 1, 1, 1, 4, 2, 3, 2, 0, 4, 3, 3, 4, 2, 0, 2, 0, 4, 1, 0, 1, 2, 1, 4, 3, 1, 1, 1, 2, 4, 1, 0, 4, 4, 3, 2, 0, 1, 4, 3, 0, 2, 2, 4, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 3, 1, 1, 0, 2, 0, 2, 0, 4, 3, 4, 2, 3, 2, 3, 2, 2, 2, 3, 4, 4, 1, 2, 0, 4, 1, 2, 0, 4, 3, 3, 4, 2, 1, 0, 1, 0, 2, 2, 3, 0, 2, 4, 4, 3, 2, 2, 4, 2, 4, 1, 2, 2, 2, 1, 0, 0, 1, 3, 2, 0, 3, 4, 2, 4, 2, 2, 1, 3, 1, 0, 1, 4, 2, 4, 2, 4, 1, 2, 2, 3, 2, 4, 3, 1, 0, 0, 4, 0, 3, 2, 4, 3, 0, 2, 0, 2, 2, 2, 3, 1, 1, 0, 0, 1, 4, 1, 3, 1, 0, 3, 3, 1, 2, 3, 1, 0, 1, 1, 2, 3, 0, 4, 1, 4, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 3, 2, 0, 4, 1, 0, 2, 3, 2, 0, 3, 4, 4, 2, 1, 4, 2, 2, 3, 3, 3, 4, 2, 4, 0, 1, 3, 1, 2, 1, 0, 3, 4, 4, 3, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 3, 0, 2, 2, 1, 2, 4, 1, 1, 3, 4, 2, 4, 4, 0, 4, 3, 3, 4, 4, 2, 1, 0, 3, 1, 1, 4, 2, 2, 2, 4, 2, 4, 2, 2, 1, 3, 0, 0, 3, 3, 3, 4, 3, 0, 0, 0, 0, 0, 4, 3, 0, 2, 0, 0, 1, 3, 0, 2, 1, 4, 0, 4, 3, 4, 1, 4, 0, 2, 4, 3, 2, 2, 2, 4, 1, 2, 1, 3, 0, 4, 0, 2, 3, 3, 0, 4, 0, 0, 1, 3, 4, 3, 4, 4, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 4, 4, 0, 1, 3, 0, 2, 0, 1, 4, 3, 2, 1, 0, 3, 4] pubkeycol1109 = [0, 0, 4, 3, 3, 3, 4, 2, 4, 3, 4, 4, 0, 1, 4, 4, 2, 2, 1, 3, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 4, 1, 3, 4, 1, 0, 0, 1, 2, 0, 0, 4, 0, 1, 4, 0, 2, 1, 0, 3, 4, 3, 3, 2, 2, 0, 0, 3, 4, 2, 2, 1, 3, 2, 2, 3, 4, 3, 4, 4, 1, 0, 3, 0, 1, 0, 1, 2, 0, 3, 2, 0, 2, 0, 2, 3, 4, 0, 2, 0, 1, 0, 4, 2, 3, 0, 1, 0, 0, 4, 1, 4, 1, 0, 0, 2, 2, 2, 2, 3, 3, 2, 2, 4, 3, 1, 4, 2, 4, 1, 3, 4, 2, 4, 2, 1, 4, 4, 4, 0, 4, 3, 3, 0, 3, 0, 4, 1, 0, 3, 4, 3, 1, 0, 0, 0, 1, 0, 4, 4, 3, 3, 3, 2, 1, 3, 1, 0, 4, 3, 1, 3, 2, 2, 4, 2, 3, 2, 3, 0, 3, 0, 1, 2, 2, 3, 0, 0, 4, 1, 3, 0, 4, 3, 2, 2, 2, 1, 4, 3, 3, 3, 1, 4, 0, 0, 3, 1, 4, 0, 4, 0, 3, 4, 2, 2, 3, 1, 4, 0, 1, 2, 0, 3, 0, 2, 3, 4, 1, 2, 0, 1, 4, 1, 3, 4, 1, 0, 4, 2, 4, 0, 0, 0, 4, 2, 1, 4, 2, 3, 0, 3, 2, 2, 3, 2, 4, 4, 1, 0, 1, 3, 0, 3, 4, 3, 1, 3, 4, 0, 2, 1, 4, 2, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 0, 3, 3, 1, 0, 3, 4, 1, 1, 3, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 4, 2, 0, 2, 4, 3, 0, 2, 1, 4, 2, 2, 2, 4, 1, 0, 2, 0, 0, 2, 4, 4, 1, 0, 0, 0, 3, 3, 2, 2, 3, 3, 1, 1, 0, 1, 0, 1, 2, 1, 3, 0, 3, 2, 2, 3, 0, 4, 3, 2, 1, 1, 0, 1, 3, 2, 0, 2, 2, 3, 4, 2, 4, 3, 0, 2, 0, 0, 0, 1, 1, 2, 4, 0, 4, 2, 1, 4, 1, 3, 0, 3, 3, 1, 2, 4, 1, 1, 2, 4, 3, 3, 1, 3, 1, 1, 3, 3, 3, 4, 2, 0, 4, 1, 2, 4, 0, 3, 0, 3, 4, 0, 0, 3, 1, 3, 2, 4, 0, 1, 4, 1, 4, 4, 3, 0, 4, 0, 0, 4, 2, 3, 2, 0, 4, 4, 4, 3, 2, 3, 1, 2, 3, 3, 2, 3, 0, 0, 2, 1, 0, 4, 1, 3, 3, 3, 0, 3, 2, 1, 4, 0, 2, 2, 1, 4, 3, 4, 0, 1, 0, 1, 3, 2, 4, 3, 3, 2, 3, 0, 0, 3, 1, 0, 1, 4] pubkeycol1110 = [3, 0, 0, 1, 1, 1, 4, 1, 3, 1, 2, 2, 3, 3, 2, 4, 2, 0, 0, 1, 0, 2, 1, 3, 4, 0, 3, 4, 4, 1, 1, 0, 1, 0, 0, 4, 1, 3, 3, 4, 1, 2, 4, 2, 1, 2, 2, 4, 4, 2, 0, 3, 2, 3, 2, 0, 2, 4, 2, 0, 4, 0, 3, 4, 3, 2, 3, 2, 2, 4, 4, 3, 1, 2, 1, 1, 0, 1, 1, 1, 0, 3, 1, 1, 3, 3, 0, 4, 1, 1, 0, 1, 1, 2, 2, 3, 3, 1, 4, 0, 1, 1, 2, 2, 0, 4, 4, 2, 2, 4, 1, 4, 3, 2, 3, 0, 4, 0, 0, 0, 0, 4, 2, 2, 2, 1, 3, 2, 0, 4, 3, 1, 1, 4, 0, 0, 1, 0, 3, 1, 0, 0, 0, 0, 4, 2, 3, 1, 3, 1, 2, 4, 2, 0, 0, 0, 2, 4, 0, 1, 3, 0, 3, 1, 1, 0, 4, 2, 2, 2, 0, 4, 1, 0, 2, 1, 4, 4, 3, 0, 3, 0, 4, 2, 2, 0, 1, 4, 1, 1, 4, 1, 3, 4, 2, 4, 3, 4, 2, 4, 1, 1, 1, 4, 0, 3, 0, 2, 0, 4, 1, 0, 4, 0, 4, 2, 3, 2, 4, 1, 0, 1, 4, 4, 4, 2, 3, 1, 0, 4, 2, 3, 3, 1, 2, 1, 0, 3, 2, 3, 1, 4, 4, 0, 3, 1, 1, 4, 2, 1, 3, 4, 0, 0, 1, 1, 1, 3, 1, 0, 0, 3, 3, 1, 4, 1, 0, 3, 0, 4, 0, 0, 2, 0, 0, 2, 3, 2, 0, 3, 1, 2, 0, 3, 2, 3, 1, 2, 3, 3, 3, 3, 0, 0, 2, 2, 2, 3, 3, 4, 1, 4, 1, 0, 3, 3, 3, 3, 3, 0, 2, 1, 0, 0, 3, 4, 1, 3, 4, 0, 0, 2, 3, 2, 4, 0, 1, 0, 2, 4, 1, 3, 4, 2, 2, 4, 3, 4, 0, 2, 4, 2, 1, 2, 3, 2, 0, 0, 4, 0, 0, 2, 2, 1, 3, 2, 3, 0, 2, 4, 1, 1, 2, 2, 1, 1, 4, 3, 3, 4, 1, 4, 3, 2, 0, 3, 3, 2, 2, 1, 4, 3, 1, 2, 3, 0, 0, 1, 4, 3, 2, 1, 2, 3, 4, 0, 0, 3, 4, 0, 2, 2, 2, 4, 1, 4, 1, 3, 3, 4, 1, 3, 4, 2, 1, 3, 2, 0, 3, 0, 4, 4, 1, 3, 1, 4, 1, 3, 0, 2, 1, 1, 3, 0, 3, 4, 0, 2, 4, 3, 4, 0, 4, 2, 1, 0, 1, 4, 4, 2, 4, 1, 3, 4, 0, 3, 2, 2, 3, 3, 2, 2, 4, 0, 1, 3, 0, 3, 0, 3, 0, 1, 1, 4, 2, 1, 1, 3, 2, 4] pubkeycol1111 = [1, 2, 1, 0, 4, 3, 1, 0, 4, 1, 3, 3, 2, 0, 3, 3, 2, 3, 4, 4, 0, 2, 0, 4, 3, 2, 3, 4, 0, 4, 2, 3, 1, 4, 4, 4, 3, 3, 2, 2, 1, 4, 2, 2, 2, 2, 3, 4, 3, 2, 3, 0, 4, 4, 0, 1, 2, 1, 4, 0, 3, 2, 4, 0, 2, 2, 3, 2, 1, 2, 1, 3, 4, 1, 2, 0, 2, 1, 1, 0, 1, 4, 1, 4, 0, 3, 0, 1, 4, 1, 0, 2, 2, 4, 0, 2, 1, 4, 4, 1, 2, 4, 2, 3, 1, 3, 2, 0, 1, 0, 1, 3, 3, 4, 2, 3, 2, 4, 2, 2, 1, 1, 1, 4, 0, 4, 0, 1, 2, 1, 0, 1, 3, 2, 3, 3, 1, 4, 1, 2, 0, 0, 4, 0, 0, 4, 4, 2, 3, 1, 4, 4, 1, 4, 3, 3, 0, 2, 2, 3, 2, 3, 0, 1, 2, 4, 2, 1, 4, 2, 1, 1, 2, 0, 1, 0, 3, 0, 0, 0, 4, 1, 4, 3, 0, 1, 4, 1, 2, 0, 0, 2, 2, 4, 1, 3, 3, 4, 4, 3, 0, 4, 0, 1, 3, 4, 4, 0, 3, 3, 2, 1, 2, 4, 0, 1, 1, 2, 1, 2, 1, 3, 0, 2, 1, 4, 1, 2, 0, 3, 0, 2, 3, 3, 2, 0, 1, 1, 1, 3, 4, 3, 4, 0, 2, 2, 0, 3, 3, 4, 0, 3, 1, 4, 3, 3, 4, 0, 4, 4, 0, 3, 3, 3, 4, 1, 3, 0, 0, 1, 1, 2, 4, 4, 1, 1, 0, 2, 2, 0, 4, 1, 1, 2, 3, 2, 3, 2, 0, 4, 4, 3, 0, 3, 3, 0, 1, 4, 4, 1, 0, 1, 0, 0, 0, 4, 1, 2, 3, 0, 2, 4, 3, 3, 1, 2, 2, 4, 3, 3, 2, 4, 2, 0, 1, 2, 1, 1, 2, 4, 4, 3, 3, 4, 4, 1, 1, 0, 3, 3, 2, 4, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 1, 2, 1, 2, 4, 3, 0, 4, 0, 1, 1, 3, 0, 4, 4, 2, 4, 1, 1, 4, 1, 3, 0, 1, 2, 2, 3, 3, 3, 1, 0, 0, 0, 4, 2, 3, 1, 0, 0, 1, 2, 4, 4, 3, 1, 3, 3, 0, 4, 1, 1, 3, 4, 4, 2, 4, 1, 3, 1, 4, 1, 1, 0, 3, 1, 1, 1, 4, 0, 2, 0, 2, 2, 0, 1, 3, 1, 0, 4, 1, 1, 3, 3, 2, 0, 1, 0, 4, 0, 4, 3, 1, 3, 1, 2, 1, 1, 1, 1, 0, 1, 0, 3, 3, 4, 2, 3, 1, 1, 1, 2, 0, 1, 1, 4, 4, 0, 1, 4, 0, 0, 1, 0, 0, 4, 1, 0] pubkeycol1112 = [2, 0, 4, 3, 0, 4, 4, 0, 0, 1, 4, 3, 0, 3, 4, 3, 0, 1, 4, 1, 3, 3, 2, 3, 0, 1, 0, 1, 1, 0, 3, 3, 2, 0, 0, 2, 3, 3, 1, 0, 1, 0, 2, 4, 4, 0, 0, 1, 3, 2, 2, 3, 1, 1, 4, 4, 1, 3, 1, 1, 3, 4, 0, 1, 2, 0, 3, 2, 4, 1, 3, 1, 1, 3, 0, 0, 4, 0, 0, 4, 2, 3, 2, 1, 2, 3, 4, 2, 1, 3, 4, 3, 3, 1, 2, 2, 1, 2, 4, 2, 3, 0, 1, 3, 4, 4, 0, 0, 4, 3, 2, 0, 2, 0, 3, 0, 4, 0, 1, 4, 3, 1, 4, 0, 4, 2, 3, 3, 2, 0, 0, 2, 1, 2, 2, 0, 0, 3, 0, 1, 2, 1, 3, 4, 2, 4, 0, 2, 2, 3, 0, 1, 4, 2, 0, 3, 0, 3, 3, 2, 1, 3, 1, 0, 4, 0, 2, 2, 0, 3, 4, 1, 0, 3, 0, 3, 2, 1, 3, 1, 0, 4, 1, 3, 3, 2, 1, 4, 1, 2, 1, 1, 4, 2, 1, 2, 4, 2, 4, 2, 2, 1, 0, 2, 3, 2, 0, 0, 0, 3, 3, 4, 2, 1, 3, 3, 3, 2, 3, 3, 3, 3, 2, 0, 2, 2, 3, 4, 4, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 4, 3, 2, 0, 3, 2, 2, 3, 4, 3, 1, 4, 1, 4, 2, 1, 4, 4, 1, 3, 4, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 4, 4, 3, 3, 2, 1, 3, 0, 4, 4, 1, 2, 1, 2, 4, 0, 4, 0, 0, 1, 0, 2, 0, 4, 4, 1, 4, 2, 4, 2, 0, 2, 0, 3, 0, 0, 0, 0, 4, 0, 1, 4, 2, 4, 0, 4, 1, 0, 2, 3, 2, 0, 2, 2, 0, 0, 0, 1, 3, 0, 0, 3, 2, 0, 1, 3, 1, 1, 4, 1, 0, 4, 0, 1, 3, 2, 1, 0, 4, 4, 1, 3, 4, 4, 2, 2, 4, 3, 0, 3, 0, 2, 4, 3, 0, 4, 1, 2, 2, 2, 1, 2, 2, 1, 4, 2, 0, 3, 2, 4, 1, 2, 2, 4, 2, 2, 1, 1, 1, 3, 4, 0, 1, 2, 4, 4, 1, 0, 3, 2, 3, 4, 0, 0, 3, 4, 2, 2, 0, 1, 4, 0, 1, 1, 3, 1, 0, 1, 1, 2, 0, 4, 2, 3, 4, 3, 2, 1, 4, 0, 4, 3, 0, 4, 1, 1, 1, 2, 1, 4, 3, 2, 3, 0, 0, 0, 1, 1, 3, 0, 4, 0, 2, 3, 0, 2, 4, 0, 1, 0, 3, 2, 4, 4, 2, 0, 2, 0, 0, 3, 3, 4, 0] pubkeycol1113 = [0, 0, 4, 0, 1, 1, 2, 0, 0, 3, 3, 2, 1, 1, 1, 2, 0, 4, 3, 1, 4, 1, 3, 0, 0, 0, 1, 1, 4, 0, 4, 1, 2, 3, 1, 2, 3, 4, 2, 3, 1, 4, 2, 1, 0, 4, 0, 3, 1, 2, 0, 2, 4, 0, 2, 3, 2, 0, 1, 0, 0, 0, 1, 1, 3, 2, 1, 3, 3, 2, 1, 3, 4, 4, 3, 0, 0, 1, 2, 3, 1, 2, 2, 4, 1, 2, 1, 4, 4, 3, 2, 1, 1, 2, 2, 4, 3, 0, 2, 1, 4, 1, 1, 1, 4, 4, 0, 2, 1, 1, 0, 4, 1, 0, 4, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 3, 3, 3, 3, 0, 2, 3, 3, 3, 1, 1, 3, 4, 3, 2, 3, 3, 2, 0, 0, 4, 0, 2, 4, 1, 1, 1, 0, 0, 1, 0, 3, 3, 1, 4, 2, 3, 2, 1, 2, 4, 2, 1, 4, 2, 0, 0, 4, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 1, 3, 4, 0, 1, 0, 1, 1, 0, 3, 0, 3, 3, 1, 0, 2, 0, 4, 4, 4, 0, 1, 0, 2, 3, 1, 4, 1, 3, 4, 1, 0, 0, 4, 4, 1, 4, 0, 2, 0, 4, 0, 3, 0, 2, 4, 1, 0, 1, 3, 0, 3, 3, 4, 0, 1, 4, 1, 3, 4, 2, 2, 3, 3, 4, 2, 3, 1, 0, 1, 1, 3, 0, 2, 1, 4, 1, 4, 2, 2, 1, 1, 4, 1, 2, 3, 4, 0, 2, 1, 0, 1, 4, 0, 1, 1, 4, 4, 4, 0, 3, 1, 1, 2, 2, 1, 0, 1, 3, 4, 2, 0, 3, 2, 1, 3, 0, 1, 4, 3, 0, 0, 0, 0, 0, 3, 4, 0, 1, 3, 3, 0, 1, 4, 4, 3, 3, 0, 0, 2, 4, 4, 4, 2, 1, 3, 4, 2, 1, 1, 2, 1, 4, 3, 3, 4, 2, 2, 0, 3, 4, 4, 0, 0, 1, 3, 3, 4, 1, 1, 4, 4, 0, 0, 3, 1, 3, 3, 2, 4, 0, 3, 0, 3, 1, 0, 0, 1, 3, 4, 0, 2, 2, 4, 0, 1, 3, 1, 4, 2, 2, 0, 1, 2, 1, 4, 4, 4, 3, 2, 1, 3, 0, 2, 2, 0, 1, 0, 2, 0, 4, 0, 0, 2, 0, 1, 0, 4, 4, 4, 2, 2, 3, 4, 2, 2, 2, 3, 3, 3, 4, 2, 4, 4, 0, 3, 3, 3, 4, 4, 1, 3, 4, 0, 4, 0, 4, 0, 2, 2, 0, 2, 0, 4, 1, 4, 4, 2, 4, 0, 4, 4, 4, 4, 3, 2, 3, 0, 3, 2, 2, 2, 0, 0, 0, 1, 4, 3, 4, 3, 4, 3, 1, 1, 3, 4, 2] pubkeycol1114 = [0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 4, 0, 4, 0, 2, 0, 3, 3, 3, 3, 1, 2, 1, 4, 1, 1, 2, 1, 2, 3, 3, 2, 2, 1, 2, 4, 0, 1, 4, 3, 2, 0, 4, 3, 3, 2, 4, 4, 1, 2, 1, 4, 1, 2, 3, 3, 4, 0, 1, 0, 3, 2, 1, 0, 4, 0, 1, 1, 4, 3, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 4, 0, 1, 2, 0, 4, 0, 4, 3, 0, 2, 3, 3, 3, 2, 1, 1, 1, 3, 1, 2, 3, 1, 0, 4, 0, 1, 4, 0, 3, 0, 2, 3, 0, 0, 4, 1, 3, 0, 3, 1, 1, 0, 1, 3, 0, 3, 1, 3, 1, 2, 2, 1, 0, 1, 4, 2, 0, 4, 4, 1, 1, 4, 4, 1, 3, 1, 2, 3, 1, 3, 2, 4, 3, 2, 3, 2, 4, 0, 3, 2, 4, 1, 3, 3, 3, 2, 0, 3, 2, 1, 1, 1, 3, 2, 0, 4, 3, 3, 2, 0, 2, 1, 2, 0, 4, 2, 0, 1, 4, 0, 2, 1, 0, 2, 4, 4, 3, 0, 0, 0, 2, 2, 4, 1, 0, 3, 0, 0, 2, 0, 2, 0, 0, 2, 2, 3, 2, 0, 1, 3, 2, 3, 0, 2, 2, 1, 0, 2, 3, 4, 1, 4, 1, 1, 0, 2, 3, 4, 0, 3, 0, 0, 1, 3, 2, 4, 4, 0, 4, 0, 1, 2, 1, 3, 3, 3, 4, 4, 4, 0, 3, 4, 1, 0, 1, 1, 0, 3, 4, 3, 4, 3, 4, 3, 4, 1, 2, 2, 3, 2, 0, 0, 4, 0, 4, 2, 0, 4, 1, 0, 0, 0, 0, 3, 3, 2, 2, 1, 3, 2, 1, 0, 3, 1, 2, 0, 3, 3, 1, 3, 3, 2, 4, 2, 3, 3, 3, 2, 0, 1, 2, 1, 0, 2, 4, 3, 4, 0, 1, 1, 2, 1, 0, 0, 2, 0, 4, 1, 0, 3, 2, 2, 1, 2, 2, 1, 1, 3, 0, 4, 3, 4, 3, 1, 4, 3, 0, 1, 4, 2, 2, 0, 4, 1, 4, 1, 1, 0, 0, 0, 0, 4, 2, 4, 4, 2, 4, 2, 0, 0, 0, 2, 1, 4, 3, 3, 3, 3, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 4, 2, 0, 2, 3, 2, 2, 0, 4, 4, 0, 1, 1, 4, 1, 1, 3, 4, 2, 2, 1, 3, 3, 2, 0, 1, 4, 4, 4, 2, 0, 0, 3, 4, 1, 4, 3, 4, 2, 4, 1, 2, 3, 0, 2, 3, 1, 3, 4, 2, 3, 4, 4, 2, 3, 4, 2, 1, 3, 0, 2, 4, 2, 2, 3, 1, 4, 0, 2, 4, 3, 4, 3, 3, 2, 1] pubkeycol1115 = [1, 1, 0, 2, 1, 2, 2, 3, 2, 0, 0, 1, 2, 1, 3, 0, 4, 3, 2, 1, 3, 2, 1, 2, 1, 2, 3, 4, 3, 0, 4, 1, 2, 2, 1, 3, 1, 4, 2, 2, 2, 0, 0, 2, 4, 2, 1, 1, 0, 4, 4, 3, 3, 0, 2, 3, 4, 1, 2, 1, 4, 0, 2, 1, 2, 2, 0, 2, 1, 1, 3, 2, 1, 1, 2, 4, 0, 3, 2, 0, 0, 1, 1, 0, 3, 3, 0, 1, 0, 0, 4, 4, 3, 1, 2, 4, 3, 4, 2, 0, 0, 1, 0, 0, 0, 2, 3, 2, 3, 4, 4, 0, 3, 3, 2, 3, 1, 4, 4, 3, 2, 1, 0, 2, 1, 3, 4, 1, 2, 3, 0, 3, 2, 0, 2, 4, 3, 1, 4, 2, 1, 3, 4, 4, 2, 1, 1, 4, 4, 3, 3, 4, 1, 4, 3, 1, 4, 1, 3, 4, 4, 2, 2, 2, 3, 1, 2, 1, 0, 4, 2, 1, 1, 1, 1, 1, 0, 1, 1, 4, 0, 2, 2, 1, 3, 2, 1, 2, 3, 3, 1, 3, 3, 0, 0, 2, 2, 0, 4, 4, 0, 4, 2, 3, 2, 3, 2, 1, 4, 0, 4, 3, 4, 3, 2, 2, 0, 3, 1, 3, 1, 4, 2, 4, 1, 2, 3, 4, 4, 4, 1, 4, 4, 4, 3, 1, 3, 4, 4, 0, 0, 2, 0, 4, 2, 3, 0, 2, 4, 2, 0, 4, 0, 3, 0, 0, 3, 2, 2, 4, 2, 0, 3, 0, 0, 2, 3, 0, 4, 2, 4, 2, 3, 0, 4, 2, 3, 0, 4, 4, 1, 0, 2, 1, 2, 4, 1, 3, 3, 3, 4, 4, 3, 1, 1, 1, 2, 3, 2, 0, 2, 0, 2, 2, 4, 2, 3, 1, 2, 2, 4, 0, 4, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 3, 0, 4, 4, 2, 0, 0, 4, 2, 3, 1, 4, 4, 2, 4, 4, 1, 3, 1, 2, 2, 1, 0, 2, 4, 4, 1, 1, 4, 0, 0, 0, 3, 4, 3, 2, 0, 4, 0, 1, 3, 2, 0, 0, 1, 0, 4, 1, 4, 0, 3, 1, 0, 3, 0, 1, 3, 4, 4, 1, 4, 2, 4, 1, 0, 3, 2, 1, 4, 3, 2, 3, 1, 2, 3, 3, 4, 4, 2, 4, 3, 0, 0, 0, 2, 2, 2, 4, 4, 1, 3, 4, 1, 0, 3, 3, 0, 0, 1, 3, 2, 4, 4, 4, 0, 0, 4, 4, 2, 2, 2, 4, 0, 1, 1, 2, 2, 4, 0, 4, 2, 0, 4, 3, 3, 4, 3, 1, 0, 4, 0, 3, 1, 1, 0, 3, 4, 2, 1, 3, 2, 3, 4, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 0, 1, 0, 4] pubkeycol1116 = [2, 1, 3, 2, 0, 4, 2, 1, 1, 3, 4, 1, 3, 2, 4, 4, 4, 2, 4, 3, 2, 0, 4, 3, 4, 0, 3, 1, 0, 4, 2, 4, 0, 0, 3, 1, 0, 0, 0, 3, 2, 1, 3, 4, 0, 1, 1, 2, 3, 3, 0, 3, 0, 3, 0, 2, 2, 1, 0, 3, 1, 0, 3, 2, 3, 1, 1, 4, 1, 4, 0, 0, 0, 3, 0, 1, 1, 0, 1, 1, 1, 3, 1, 3, 4, 1, 3, 0, 4, 0, 4, 0, 2, 3, 0, 1, 3, 2, 0, 1, 0, 1, 4, 4, 0, 3, 3, 3, 1, 0, 4, 3, 2, 1, 3, 1, 4, 1, 2, 0, 2, 2, 3, 0, 0, 3, 0, 3, 1, 4, 1, 1, 1, 4, 2, 1, 3, 4, 1, 4, 1, 0, 2, 1, 0, 2, 4, 2, 4, 4, 1, 2, 3, 4, 1, 3, 0, 0, 3, 2, 4, 2, 3, 1, 1, 0, 1, 0, 4, 2, 3, 1, 0, 1, 3, 2, 2, 0, 1, 2, 2, 3, 2, 3, 3, 3, 0, 3, 3, 1, 3, 3, 1, 2, 3, 4, 3, 1, 2, 2, 0, 4, 3, 0, 3, 0, 2, 4, 1, 3, 2, 0, 3, 0, 2, 0, 3, 4, 4, 3, 3, 2, 4, 3, 1, 3, 1, 2, 0, 2, 4, 3, 0, 3, 0, 3, 2, 3, 2, 4, 0, 3, 3, 3, 2, 0, 4, 1, 0, 2, 1, 3, 1, 0, 2, 2, 0, 1, 0, 2, 0, 4, 4, 0, 1, 0, 3, 4, 3, 4, 4, 2, 4, 4, 3, 4, 3, 4, 3, 1, 4, 2, 4, 1, 0, 2, 4, 1, 0, 2, 3, 0, 4, 1, 1, 4, 3, 0, 3, 0, 3, 4, 3, 4, 3, 0, 1, 0, 0, 3, 3, 4, 3, 2, 3, 0, 1, 2, 3, 1, 1, 1, 3, 3, 3, 4, 3, 4, 2, 1, 1, 2, 4, 4, 2, 3, 1, 3, 0, 3, 4, 3, 2, 1, 0, 4, 0, 0, 0, 0, 0, 1, 0, 1, 3, 0, 2, 4, 3, 1, 2, 4, 0, 4, 2, 2, 0, 1, 2, 1, 0, 3, 4, 3, 2, 2, 4, 0, 2, 4, 4, 3, 3, 3, 2, 3, 3, 2, 0, 2, 3, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 3, 1, 2, 3, 3, 1, 4, 1, 1, 2, 4, 1, 1, 1, 3, 0, 0, 0, 3, 2, 3, 3, 3, 1, 3, 0, 1, 0, 0, 4, 2, 3, 1, 3, 1, 1, 3, 0, 0, 4, 0, 2, 2, 2, 1, 2, 2, 3, 2, 3, 3, 0, 2, 0, 2, 0, 3, 0, 4, 2, 1, 1, 3, 1, 4, 0, 4, 0, 2, 4, 3, 1, 0, 4, 0, 4, 0, 3, 2] pubkeycol1117 = [3, 1, 3, 2, 0, 0, 4, 3, 3, 2, 2, 1, 1, 4, 1, 0, 3, 4, 2, 0, 3, 1, 0, 1, 0, 3, 3, 0, 3, 0, 1, 1, 2, 0, 4, 2, 0, 4, 1, 3, 3, 0, 4, 2, 1, 3, 3, 4, 1, 2, 1, 3, 2, 2, 4, 2, 0, 1, 2, 4, 2, 2, 2, 3, 1, 4, 3, 4, 4, 3, 3, 3, 1, 3, 1, 4, 0, 4, 1, 0, 3, 2, 3, 3, 0, 4, 4, 3, 1, 4, 2, 4, 0, 1, 2, 0, 4, 0, 4, 3, 3, 1, 4, 3, 2, 2, 3, 0, 1, 2, 2, 2, 1, 1, 4, 0, 4, 2, 3, 0, 0, 0, 4, 0, 2, 2, 2, 4, 3, 1, 1, 1, 0, 1, 3, 2, 1, 1, 3, 3, 2, 4, 3, 1, 1, 3, 3, 4, 1, 1, 0, 1, 2, 4, 2, 4, 3, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 3, 3, 2, 1, 2, 1, 2, 0, 3, 2, 4, 3, 4, 0, 4, 3, 2, 0, 0, 4, 4, 3, 1, 1, 4, 1, 1, 3, 2, 1, 3, 4, 2, 0, 3, 2, 2, 1, 4, 2, 1, 0, 3, 2, 3, 4, 0, 2, 3, 2, 3, 3, 1, 3, 0, 1, 3, 2, 3, 2, 0, 1, 4, 2, 4, 3, 3, 1, 2, 4, 3, 4, 3, 4, 0, 2, 2, 4, 2, 3, 3, 2, 0, 3, 3, 4, 0, 0, 3, 1, 3, 4, 4, 2, 2, 4, 2, 1, 1, 4, 3, 0, 2, 4, 3, 0, 4, 3, 3, 1, 4, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 3, 4, 0, 2, 1, 0, 0, 0, 4, 1, 3, 4, 4, 0, 1, 2, 1, 2, 0, 3, 3, 0, 3, 4, 4, 1, 0, 0, 2, 3, 0, 2, 2, 0, 2, 1, 2, 4, 0, 1, 2, 2, 1, 3, 2, 3, 0, 3, 2, 3, 1, 4, 0, 0, 1, 3, 2, 3, 4, 4, 3, 1, 2, 2, 2, 3, 1, 3, 4, 4, 1, 1, 2, 1, 2, 1, 0, 4, 2, 1, 4, 1, 3, 0, 2, 3, 1, 4, 1, 3, 2, 3, 0, 1, 0, 2, 3, 4, 1, 1, 1, 2, 0, 3, 3, 1, 2, 4, 0, 0, 1, 2, 2, 4, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 3, 3, 1, 2, 4, 1, 2, 4, 0, 4, 1, 4, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 3, 3, 1, 4, 0, 3, 1, 1, 0, 2, 1, 1, 2, 0, 3, 1, 2, 2, 3, 3, 1, 2, 1, 3, 0, 0, 1, 4, 1, 0, 1, 0, 0, 1, 3, 3, 1, 2, 2, 4, 4] pubkeycol1118 = [0, 2, 0, 0, 4, 1, 2, 2, 2, 2, 3, 3, 4, 2, 2, 1, 2, 3, 2, 3, 0, 2, 2, 4, 0, 0, 4, 4, 2, 3, 0, 1, 0, 1, 1, 3, 4, 2, 1, 3, 1, 0, 4, 4, 3, 1, 2, 2, 3, 2, 0, 0, 4, 0, 4, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2, 4, 1, 3, 2, 0, 4, 4, 1, 4, 1, 3, 2, 4, 2, 4, 3, 0, 0, 1, 1, 4, 4, 0, 1, 3, 1, 0, 0, 0, 3, 4, 2, 4, 3, 2, 2, 4, 0, 2, 1, 0, 4, 1, 1, 1, 1, 2, 3, 1, 2, 4, 2, 3, 4, 3, 0, 0, 0, 4, 0, 0, 4, 2, 0, 3, 0, 4, 3, 1, 0, 1, 1, 4, 0, 2, 2, 3, 4, 1, 4, 1, 4, 1, 0, 3, 2, 3, 1, 3, 4, 2, 0, 2, 1, 4, 1, 2, 1, 0, 1, 4, 2, 4, 3, 3, 3, 0, 4, 2, 2, 0, 3, 3, 0, 0, 4, 0, 3, 4, 2, 1, 4, 2, 4, 0, 3, 2, 3, 3, 3, 4, 3, 4, 2, 3, 4, 0, 2, 1, 3, 4, 3, 1, 3, 4, 1, 4, 4, 3, 3, 2, 3, 1, 1, 4, 0, 2, 1, 1, 2, 1, 4, 2, 2, 4, 0, 1, 3, 3, 0, 2, 3, 3, 2, 3, 4, 4, 2, 1, 4, 4, 0, 4, 2, 4, 2, 3, 3, 2, 2, 4, 2, 2, 1, 4, 4, 4, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 3, 1, 0, 0, 4, 3, 1, 1, 1, 3, 4, 0, 3, 1, 4, 1, 1, 3, 2, 1, 3, 2, 3, 4, 3, 2, 3, 4, 2, 3, 1, 1, 1, 2, 4, 0, 0, 3, 3, 0, 2, 4, 3, 2, 4, 0, 3, 1, 0, 3, 4, 2, 3, 0, 0, 3, 2, 1, 3, 1, 3, 0, 2, 0, 1, 4, 0, 3, 1, 3, 2, 0, 3, 0, 4, 0, 4, 4, 4, 4, 4, 3, 3, 3, 4, 0, 2, 1, 3, 4, 2, 4, 0, 4, 4, 1, 2, 3, 3, 1, 1, 3, 4, 2, 1, 2, 1, 1, 0, 1, 4, 2, 0, 3, 3, 1, 2, 0, 2, 3, 0, 2, 2, 3, 4, 4, 2, 1, 1, 1, 4, 2, 1, 0, 1, 3, 1, 4, 0, 4, 3, 4, 3, 0, 0, 2, 4, 2, 0, 3, 1, 3, 1, 4, 0, 2, 0, 0, 0, 2, 0, 1, 4, 4, 3, 1, 4, 3, 2, 4, 3, 2, 2, 4, 2, 1, 3, 4, 2, 0, 3, 1, 3, 1, 4, 1, 4, 3, 1, 2, 4, 0, 3, 0, 0, 4, 1, 3, 0, 4, 0, 2, 0] pubkeycol1119 = [0, 0, 3, 2, 3, 3, 1, 0, 1, 4, 3, 3, 0, 3, 0, 0, 4, 0, 2, 1, 2, 2, 4, 2, 3, 4, 0, 4, 0, 1, 1, 2, 4, 2, 1, 0, 2, 0, 3, 0, 3, 4, 4, 1, 3, 2, 1, 3, 2, 0, 2, 3, 1, 3, 2, 0, 1, 4, 0, 1, 2, 4, 0, 0, 2, 3, 1, 1, 0, 4, 3, 4, 4, 4, 3, 3, 0, 1, 2, 4, 0, 3, 2, 4, 4, 1, 3, 2, 1, 4, 0, 4, 4, 4, 2, 2, 3, 1, 3, 4, 0, 3, 4, 2, 2, 1, 2, 1, 0, 2, 4, 1, 3, 0, 0, 3, 1, 4, 2, 4, 0, 2, 4, 0, 1, 2, 4, 3, 2, 0, 2, 3, 2, 3, 3, 3, 4, 1, 0, 2, 3, 3, 3, 2, 2, 0, 3, 3, 3, 4, 1, 2, 1, 1, 0, 2, 3, 0, 4, 1, 3, 2, 1, 0, 0, 2, 3, 2, 3, 0, 4, 1, 0, 4, 3, 4, 0, 3, 3, 2, 4, 4, 1, 3, 4, 1, 4, 0, 2, 0, 0, 1, 3, 2, 1, 4, 4, 0, 1, 4, 1, 1, 3, 1, 0, 4, 2, 2, 0, 1, 1, 0, 3, 3, 3, 0, 1, 2, 0, 1, 0, 4, 3, 2, 4, 0, 1, 1, 1, 2, 0, 1, 3, 1, 4, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 3, 3, 4, 3, 0, 2, 3, 2, 0, 1, 3, 0, 1, 2, 2, 1, 0, 1, 4, 2, 2, 0, 2, 3, 0, 3, 1, 4, 3, 0, 2, 2, 0, 3, 4, 0, 4, 4, 3, 4, 2, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 4, 4, 4, 0, 3, 2, 4, 0, 1, 4, 3, 0, 2, 3, 0, 4, 0, 2, 0, 1, 2, 0, 0, 0, 3, 2, 2, 3, 0, 0, 0, 1, 1, 3, 0, 4, 3, 2, 0, 0, 1, 0, 2, 1, 3, 2, 0, 0, 1, 0, 3, 1, 3, 1, 2, 3, 4, 0, 4, 0, 3, 4, 0, 1, 1, 1, 1, 1, 3, 0, 4, 0, 2, 1, 3, 2, 3, 1, 0, 0, 3, 1, 1, 2, 3, 2, 1, 2, 4, 1, 2, 3, 1, 0, 2, 4, 2, 2, 0, 0, 4, 4, 0, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 4, 3, 3, 2, 1, 3, 4, 2, 0, 3, 4, 1, 0, 0, 2, 4, 4, 0, 3, 0, 3, 2, 1, 3, 0, 0, 2, 3, 3, 0, 2, 4, 2, 1, 3, 4, 1, 2, 3, 4, 1, 3, 0, 0, 0, 3, 3, 1, 2, 3, 4, 2, 0, 0, 3, 4, 4, 2, 2, 3, 4, 1] pubkeycol1120 = [3, 2, 0, 1, 2, 4, 3, 0, 2, 4, 2, 1, 4, 0, 0, 1, 4, 1, 2, 1, 4, 4, 3, 4, 4, 0, 1, 3, 2, 2, 3, 2, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 3, 0, 1, 3, 0, 4, 4, 2, 0, 2, 0, 3, 4, 0, 2, 0, 3, 2, 2, 3, 1, 3, 3, 1, 1, 3, 1, 2, 1, 3, 3, 1, 4, 3, 3, 1, 1, 3, 3, 1, 0, 3, 3, 4, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 4, 3, 1, 3, 4, 2, 1, 1, 1, 0, 1, 0, 0, 2, 4, 1, 1, 4, 0, 3, 2, 0, 0, 3, 0, 4, 1, 3, 3, 2, 0, 1, 2, 0, 1, 4, 3, 2, 0, 3, 3, 4, 2, 4, 2, 2, 0, 2, 1, 0, 2, 3, 3, 4, 3, 4, 0, 4, 4, 0, 2, 2, 2, 3, 1, 1, 0, 1, 0, 0, 4, 1, 2, 0, 2, 2, 4, 2, 3, 0, 3, 4, 0, 3, 0, 4, 1, 0, 0, 2, 3, 2, 0, 0, 0, 2, 1, 0, 2, 3, 2, 4, 2, 4, 1, 0, 4, 3, 1, 3, 1, 3, 1, 2, 1, 2, 4, 1, 4, 3, 3, 2, 2, 4, 0, 1, 4, 1, 3, 2, 3, 3, 2, 3, 3, 3, 4, 2, 4, 0, 4, 3, 0, 3, 2, 3, 3, 1, 0, 3, 0, 2, 4, 2, 1, 3, 0, 3, 0, 2, 3, 0, 4, 1, 4, 0, 4, 1, 1, 4, 3, 0, 2, 2, 2, 2, 4, 2, 3, 3, 4, 1, 0, 1, 2, 4, 4, 4, 0, 3, 1, 4, 2, 2, 3, 0, 4, 2, 0, 3, 1, 2, 1, 4, 1, 2, 0, 2, 3, 2, 0, 4, 0, 4, 1, 2, 4, 2, 2, 0, 3, 3, 3, 1, 3, 3, 4, 0, 4, 3, 2, 1, 4, 1, 0, 2, 1, 2, 2, 0, 3, 4, 0, 1, 0, 3, 1, 3, 0, 0, 2, 4, 3, 0, 4, 2, 0, 4, 2, 0, 0, 1, 2, 2, 4, 0, 3, 4, 4, 2, 2, 0, 2, 0, 0, 4, 3, 3, 3, 0, 2, 0, 4, 1, 3, 2, 3, 2, 3, 0, 1, 0, 1, 0, 4, 0, 2, 0, 1, 4, 1, 3, 4, 3, 0, 0, 2, 1, 0, 3, 4, 3, 2, 1, 3, 1, 4, 0, 1, 3, 3, 1, 0, 3, 4, 3, 2, 0, 4, 1, 2, 3, 4, 4, 4, 2, 3, 2, 4, 0, 1, 2, 2, 4, 0, 2, 2, 0, 2, 0, 0, 2, 4, 3, 0, 2, 1, 1, 3, 2, 3, 3, 2, 2, 3, 4, 2, 1, 4, 3, 0, 4, 1, 2, 2, 1, 3, 0, 3, 1, 4, 2, 0, 2] pubkeycol1121 = [0, 1, 2, 1, 1, 0, 1, 0, 3, 1, 4, 0, 4, 0, 4, 1, 0, 3, 0, 3, 0, 1, 4, 3, 4, 2, 1, 2, 4, 4, 2, 1, 2, 4, 1, 3, 3, 4, 4, 2, 0, 2, 3, 3, 4, 3, 4, 0, 2, 2, 1, 1, 4, 2, 0, 0, 0, 1, 3, 4, 2, 1, 1, 4, 4, 1, 4, 0, 2, 0, 2, 0, 0, 2, 4, 0, 0, 0, 4, 0, 0, 1, 2, 0, 0, 1, 3, 3, 2, 0, 4, 3, 0, 4, 0, 0, 4, 4, 3, 0, 3, 1, 4, 2, 2, 3, 3, 3, 3, 0, 2, 3, 4, 3, 0, 3, 0, 1, 1, 4, 4, 4, 0, 0, 2, 0, 4, 2, 4, 0, 0, 3, 4, 0, 3, 1, 4, 2, 2, 3, 0, 1, 4, 0, 2, 1, 3, 3, 3, 1, 2, 4, 0, 1, 3, 2, 2, 1, 2, 3, 0, 1, 4, 1, 1, 2, 2, 1, 2, 4, 3, 3, 4, 0, 0, 3, 1, 4, 2, 3, 1, 4, 0, 1, 2, 0, 0, 2, 1, 4, 2, 0, 3, 1, 0, 4, 0, 0, 3, 3, 1, 4, 2, 3, 4, 3, 4, 1, 2, 1, 2, 3, 2, 4, 4, 1, 1, 2, 1, 2, 2, 4, 2, 2, 3, 0, 0, 0, 2, 1, 4, 2, 0, 2, 3, 3, 1, 4, 2, 4, 0, 3, 4, 4, 1, 4, 0, 3, 4, 3, 4, 1, 2, 2, 3, 0, 4, 0, 1, 2, 1, 4, 0, 2, 1, 2, 4, 0, 4, 1, 2, 2, 0, 1, 3, 1, 0, 3, 4, 0, 3, 0, 0, 4, 4, 2, 3, 4, 0, 0, 3, 2, 1, 2, 1, 1, 1, 0, 4, 1, 2, 1, 4, 2, 1, 0, 3, 1, 2, 0, 2, 2, 1, 1, 0, 4, 4, 4, 4, 4, 3, 3, 1, 2, 2, 3, 3, 4, 0, 2, 2, 1, 3, 0, 4, 0, 2, 1, 4, 2, 3, 0, 1, 1, 2, 4, 4, 1, 3, 4, 1, 3, 4, 3, 1, 3, 2, 1, 3, 2, 0, 1, 2, 0, 2, 0, 4, 4, 0, 1, 3, 2, 4, 4, 3, 2, 3, 0, 2, 3, 3, 3, 1, 2, 2, 0, 2, 2, 2, 0, 3, 1, 2, 0, 1, 2, 3, 0, 3, 1, 4, 4, 0, 4, 4, 4, 3, 2, 2, 2, 2, 1, 4, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 3, 4, 4, 3, 2, 4, 1, 4, 0, 4, 3, 1, 2, 2, 1, 0, 4, 3, 0, 0, 1, 0, 4, 0, 4, 1, 2, 1, 2, 4, 4, 4, 4, 3, 3, 4, 3, 4, 1, 2, 3, 2, 2, 4, 4, 0, 2, 4, 1, 1, 3, 2, 3, 4, 4, 3] pubkeycol1122 = [2, 1, 4, 0, 2, 0, 2, 0, 3, 2, 4, 3, 3, 0, 3, 0, 2, 4, 0, 4, 4, 2, 4, 3, 3, 2, 4, 4, 2, 0, 0, 1, 1, 4, 3, 4, 4, 1, 2, 1, 3, 4, 1, 1, 1, 2, 0, 3, 4, 4, 0, 1, 2, 0, 4, 2, 2, 4, 1, 2, 1, 1, 2, 2, 4, 4, 0, 4, 2, 2, 0, 3, 3, 4, 2, 1, 4, 0, 4, 1, 3, 1, 4, 3, 3, 2, 1, 3, 4, 0, 0, 4, 2, 1, 2, 0, 1, 2, 2, 3, 0, 4, 4, 1, 1, 1, 0, 2, 0, 4, 0, 3, 1, 3, 1, 0, 4, 1, 3, 2, 0, 3, 3, 2, 0, 4, 3, 1, 4, 2, 3, 2, 1, 3, 3, 3, 4, 3, 1, 1, 0, 1, 4, 3, 0, 2, 3, 2, 4, 0, 0, 0, 2, 2, 0, 1, 4, 4, 1, 4, 3, 0, 0, 2, 2, 4, 0, 1, 4, 3, 1, 1, 4, 1, 1, 0, 0, 2, 0, 0, 4, 4, 3, 3, 4, 2, 2, 2, 0, 4, 3, 3, 0, 2, 1, 2, 4, 1, 0, 0, 0, 4, 0, 0, 2, 2, 2, 1, 0, 2, 2, 3, 1, 4, 3, 3, 4, 1, 0, 3, 4, 3, 3, 1, 2, 2, 0, 3, 0, 0, 2, 0, 0, 0, 2, 0, 3, 0, 0, 0, 3, 2, 3, 3, 1, 0, 0, 3, 4, 3, 1, 3, 3, 4, 4, 4, 4, 3, 2, 2, 4, 4, 3, 1, 3, 3, 4, 3, 0, 1, 1, 1, 2, 4, 2, 3, 4, 4, 1, 0, 4, 2, 4, 0, 0, 0, 4, 4, 3, 4, 0, 4, 2, 2, 1, 4, 1, 1, 4, 1, 0, 3, 3, 1, 0, 2, 3, 2, 4, 2, 1, 4, 0, 3, 2, 1, 2, 4, 2, 1, 0, 0, 0, 0, 1, 3, 1, 1, 1, 3, 2, 1, 2, 0, 4, 0, 0, 4, 3, 3, 0, 1, 0, 2, 4, 4, 1, 1, 0, 2, 1, 3, 4, 1, 4, 4, 3, 1, 2, 1, 2, 3, 0, 3, 1, 1, 2, 2, 2, 1, 2, 2, 0, 4, 0, 0, 1, 2, 3, 4, 3, 0, 3, 2, 0, 1, 2, 0, 4, 0, 1, 1, 4, 1, 1, 4, 2, 3, 4, 4, 4, 3, 2, 0, 1, 2, 0, 0, 0, 0, 4, 4, 2, 0, 2, 2, 4, 0, 3, 3, 2, 0, 1, 1, 4, 1, 0, 1, 1, 2, 4, 1, 0, 4, 3, 3, 2, 4, 2, 4, 0, 1, 1, 4, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 0, 4, 2, 2, 2, 1, 3, 3, 2, 3, 1, 3, 1, 0, 0, 2, 2, 3, 4, 3, 1, 0] pubkeycol1123 = [4, 3, 3, 3, 2, 1, 4, 1, 0, 4, 0, 0, 0, 2, 0, 3, 1, 0, 4, 1, 2, 3, 0, 1, 3, 2, 1, 3, 4, 0, 4, 4, 2, 0, 4, 2, 0, 4, 3, 2, 0, 4, 4, 1, 1, 0, 0, 1, 1, 0, 1, 1, 4, 1, 3, 0, 3, 3, 1, 1, 3, 0, 3, 2, 1, 3, 1, 0, 1, 1, 4, 3, 4, 3, 2, 3, 2, 3, 1, 2, 4, 3, 0, 0, 4, 1, 0, 1, 2, 4, 4, 1, 2, 2, 1, 4, 2, 3, 0, 2, 0, 2, 0, 2, 3, 4, 3, 1, 0, 4, 0, 4, 4, 2, 0, 3, 1, 2, 0, 4, 4, 4, 0, 0, 2, 1, 4, 0, 0, 4, 3, 0, 1, 1, 4, 0, 2, 2, 1, 2, 2, 4, 3, 2, 2, 3, 0, 0, 3, 0, 2, 4, 2, 4, 2, 3, 2, 3, 0, 4, 4, 4, 1, 3, 2, 4, 0, 2, 0, 2, 2, 3, 1, 2, 3, 0, 3, 0, 4, 1, 1, 1, 3, 0, 1, 0, 4, 4, 4, 0, 2, 1, 2, 4, 2, 4, 4, 0, 3, 2, 3, 4, 4, 4, 2, 4, 0, 3, 0, 1, 1, 0, 0, 1, 1, 0, 1, 4, 0, 2, 2, 4, 0, 1, 4, 2, 4, 4, 1, 4, 1, 2, 3, 1, 2, 4, 4, 0, 3, 0, 1, 0, 4, 2, 1, 3, 1, 1, 1, 4, 3, 4, 3, 3, 2, 3, 0, 2, 1, 4, 0, 3, 4, 1, 3, 3, 4, 2, 3, 3, 2, 1, 3, 1, 1, 1, 3, 3, 1, 3, 0, 0, 1, 0, 2, 2, 1, 4, 0, 3, 2, 3, 4, 3, 1, 1, 0, 2, 2, 3, 4, 4, 4, 3, 4, 4, 3, 1, 3, 0, 3, 0, 2, 0, 2, 1, 2, 3, 1, 4, 1, 2, 2, 3, 4, 3, 3, 2, 0, 1, 3, 4, 2, 3, 4, 1, 1, 2, 1, 3, 0, 0, 3, 3, 1, 4, 0, 3, 2, 0, 4, 1, 1, 1, 0, 0, 2, 0, 3, 1, 1, 1, 2, 3, 1, 3, 3, 3, 3, 4, 0, 4, 4, 3, 0, 2, 0, 1, 1, 4, 1, 1, 3, 1, 3, 0, 1, 4, 1, 3, 2, 2, 4, 0, 1, 2, 3, 1, 3, 4, 3, 0, 0, 0, 3, 0, 2, 3, 4, 3, 1, 1, 3, 0, 0, 3, 4, 4, 2, 4, 0, 0, 1, 3, 3, 3, 1, 0, 3, 3, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 3, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0, 3, 4, 3, 3, 2, 4, 4, 0, 4, 0, 1, 2, 1, 2, 4, 1, 4, 2, 3, 2, 1, 3, 2, 1, 3, 3, 3, 2] pubkeycol1124 = [4, 2, 3, 3, 0, 3, 4, 3, 2, 0, 1, 0, 3, 2, 2, 2, 3, 2, 2, 3, 0, 1, 0, 0, 1, 4, 2, 1, 4, 2, 3, 1, 3, 4, 3, 3, 1, 2, 3, 0, 1, 0, 3, 4, 2, 1, 4, 3, 0, 3, 1, 0, 0, 1, 1, 3, 4, 1, 2, 1, 1, 2, 3, 3, 1, 2, 2, 4, 2, 1, 2, 0, 0, 2, 3, 1, 3, 3, 0, 0, 4, 2, 0, 4, 1, 0, 2, 3, 0, 1, 1, 3, 1, 4, 2, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 3, 1, 3, 0, 3, 4, 3, 2, 2, 4, 2, 1, 4, 0, 1, 3, 4, 2, 2, 2, 4, 4, 2, 4, 3, 2, 2, 4, 2, 4, 0, 2, 3, 2, 0, 0, 2, 3, 0, 3, 3, 1, 2, 2, 3, 3, 2, 1, 3, 2, 4, 4, 4, 3, 4, 3, 2, 2, 1, 2, 1, 0, 0, 4, 1, 4, 0, 3, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 4, 2, 2, 4, 2, 0, 0, 4, 1, 3, 1, 2, 2, 4, 3, 2, 2, 2, 0, 2, 4, 4, 4, 4, 1, 0, 3, 2, 2, 4, 4, 0, 4, 1, 2, 1, 1, 4, 0, 1, 4, 1, 3, 0, 2, 0, 1, 1, 2, 4, 4, 0, 2, 3, 2, 4, 1, 4, 1, 2, 3, 1, 4, 3, 2, 1, 4, 1, 0, 3, 3, 0, 3, 2, 1, 1, 4, 4, 3, 4, 0, 3, 2, 4, 2, 2, 0, 3, 3, 2, 2, 1, 0, 2, 0, 0, 0, 4, 0, 2, 4, 0, 1, 0, 0, 0, 1, 1, 1, 0, 4, 0, 1, 1, 3, 0, 2, 1, 1, 4, 3, 2, 3, 2, 2, 1, 3, 3, 1, 2, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 4, 1, 1, 1, 1, 3, 1, 4, 3, 4, 4, 0, 3, 1, 0, 2, 2, 2, 1, 4, 4, 1, 1, 4, 4, 4, 1, 1, 3, 1, 0, 0, 1, 3, 3, 0, 4, 0, 2, 1, 3, 2, 4, 0, 3, 0, 4, 0, 1, 0, 1, 2, 3, 0, 0, 3, 2, 3, 4, 1, 3, 3, 0, 2, 0, 0, 1, 4, 2, 0, 4, 3, 2, 2, 0, 4, 1, 2, 2, 2, 1, 2, 1, 4, 0, 0, 1, 0, 4, 2, 0, 4, 4, 4, 1, 4, 4, 4, 1, 0, 3, 3, 1, 1, 4, 2, 3, 1, 1, 3, 2, 2, 3, 3, 3, 4, 4, 3, 3, 0, 2, 2, 4, 4, 4, 3, 1, 4, 2, 4, 2, 4, 0, 2, 3, 2, 4, 1, 4, 1, 0, 4, 3, 1, 4, 0, 4, 2, 1, 2] pubkeycol1125 = [4, 3, 3, 2, 2, 1, 1, 3, 4, 2, 1, 0, 4, 3, 1, 0, 3, 0, 4, 2, 2, 3, 2, 3, 1, 3, 0, 2, 0, 1, 2, 0, 1, 4, 0, 2, 0, 0, 1, 1, 4, 2, 2, 3, 4, 3, 4, 1, 2, 2, 3, 4, 0, 4, 2, 0, 2, 0, 3, 3, 3, 1, 3, 1, 1, 4, 1, 2, 2, 4, 2, 3, 2, 4, 4, 2, 3, 0, 2, 1, 2, 1, 2, 3, 1, 4, 2, 0, 3, 2, 4, 1, 0, 4, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 3, 1, 4, 0, 3, 2, 0, 1, 2, 1, 1, 0, 1, 3, 2, 0, 0, 4, 0, 3, 4, 0, 3, 3, 2, 1, 4, 1, 4, 0, 4, 1, 0, 2, 1, 1, 0, 0, 1, 2, 3, 0, 4, 3, 0, 2, 4, 0, 2, 3, 0, 1, 3, 4, 2, 1, 0, 2, 4, 2, 4, 1, 0, 0, 4, 3, 1, 0, 3, 3, 1, 1, 1, 4, 0, 4, 1, 1, 2, 4, 3, 0, 3, 4, 0, 2, 0, 1, 0, 1, 3, 2, 3, 1, 1, 1, 1, 2, 0, 1, 4, 2, 0, 2, 3, 2, 1, 1, 3, 2, 0, 3, 3, 3, 3, 4, 1, 3, 3, 3, 3, 4, 4, 1, 3, 0, 0, 4, 4, 4, 2, 2, 2, 3, 2, 1, 0, 2, 2, 3, 2, 4, 2, 3, 1, 4, 1, 1, 3, 2, 0, 1, 0, 0, 2, 2, 1, 1, 3, 0, 0, 0, 4, 0, 4, 2, 2, 2, 2, 4, 2, 3, 1, 2, 2, 3, 4, 2, 0, 2, 4, 0, 1, 1, 2, 4, 4, 3, 4, 3, 4, 0, 0, 2, 1, 0, 0, 3, 4, 1, 2, 2, 2, 1, 1, 4, 2, 3, 0, 2, 2, 4, 1, 0, 2, 3, 3, 3, 0, 1, 3, 3, 0, 0, 4, 2, 4, 1, 1, 3, 1, 3, 1, 4, 3, 3, 3, 1, 4, 2, 3, 3, 4, 4, 4, 4, 3, 0, 2, 1, 4, 1, 0, 4, 3, 4, 2, 4, 0, 0, 4, 4, 2, 0, 1, 4, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 4, 3, 0, 1, 2, 2, 2, 2, 4, 3, 1, 4, 4, 1, 4, 0, 3, 1, 1, 4, 4, 2, 3, 0, 1, 4, 4, 4, 3, 3, 1, 3, 4, 1, 0, 2, 2, 4, 1, 3, 2, 3, 0, 3, 2, 3, 4, 1, 1, 3, 0, 1, 1, 1, 3, 1, 3, 4, 3, 1, 3, 3, 0, 1, 4, 1, 1, 1, 2, 4, 1, 2, 0, 0, 3, 0, 2, 0, 2, 1, 1, 0, 4, 4, 0, 0, 0, 1, 2, 0, 1, 3, 1, 2, 0, 4, 4, 0, 1] pubkeycol1126 = [2, 4, 4, 0, 4, 4, 4, 1, 1, 4, 3, 1, 3, 1, 2, 1, 1, 4, 3, 1, 2, 3, 1, 2, 3, 3, 0, 2, 0, 2, 3, 4, 3, 4, 3, 2, 2, 2, 2, 2, 3, 2, 0, 1, 0, 2, 1, 2, 4, 4, 0, 4, 2, 3, 3, 0, 3, 3, 4, 2, 1, 3, 4, 4, 0, 3, 1, 3, 0, 2, 4, 1, 0, 4, 4, 1, 2, 3, 4, 3, 0, 0, 3, 3, 2, 3, 3, 4, 3, 4, 1, 2, 4, 1, 1, 1, 2, 0, 3, 4, 2, 4, 3, 4, 1, 1, 3, 2, 4, 3, 1, 3, 2, 0, 1, 2, 2, 1, 1, 4, 3, 0, 1, 1, 3, 0, 0, 0, 2, 1, 0, 0, 2, 3, 0, 4, 4, 0, 2, 3, 4, 3, 3, 1, 4, 4, 0, 0, 1, 4, 0, 3, 2, 1, 2, 1, 3, 4, 4, 4, 4, 1, 4, 3, 1, 1, 4, 1, 4, 0, 4, 3, 0, 3, 3, 1, 2, 1, 1, 1, 3, 0, 3, 3, 2, 3, 0, 4, 4, 2, 2, 4, 2, 0, 1, 3, 3, 0, 4, 1, 3, 2, 0, 4, 4, 3, 0, 2, 1, 4, 1, 2, 3, 1, 0, 3, 3, 1, 4, 0, 4, 3, 3, 4, 4, 0, 0, 0, 1, 4, 1, 0, 1, 4, 1, 2, 1, 3, 2, 2, 0, 3, 4, 1, 0, 4, 3, 3, 4, 1, 0, 3, 4, 4, 0, 3, 1, 0, 0, 0, 4, 2, 0, 2, 3, 3, 1, 0, 2, 4, 2, 1, 1, 3, 1, 3, 4, 3, 1, 4, 4, 0, 2, 1, 4, 4, 4, 4, 1, 1, 4, 1, 3, 1, 2, 1, 0, 1, 1, 0, 3, 0, 3, 2, 4, 3, 0, 3, 2, 2, 2, 2, 1, 3, 0, 0, 3, 4, 3, 3, 2, 0, 3, 1, 1, 2, 3, 3, 1, 2, 0, 4, 4, 4, 3, 4, 3, 3, 2, 3, 4, 2, 4, 2, 1, 2, 3, 1, 4, 2, 0, 2, 4, 4, 0, 3, 1, 4, 4, 2, 1, 0, 3, 4, 2, 1, 3, 0, 0, 4, 4, 0, 3, 2, 1, 2, 4, 0, 2, 0, 2, 2, 1, 1, 2, 4, 1, 4, 1, 1, 4, 0, 3, 1, 1, 0, 1, 4, 4, 3, 1, 2, 2, 0, 2, 4, 1, 0, 0, 2, 3, 2, 0, 0, 4, 3, 0, 1, 2, 1, 2, 2, 4, 3, 0, 2, 0, 2, 3, 0, 0, 3, 3, 2, 3, 4, 0, 1, 4, 3, 2, 1, 2, 1, 1, 0, 1, 4, 3, 1, 3, 4, 0, 3, 0, 0, 1, 4, 2, 0, 3, 1, 3, 3, 3, 1, 0, 2, 0, 1, 4, 2, 1, 0, 0, 3, 1, 4, 0, 2] pubkeycol1127 = [2, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 0, 4, 1, 3, 0, 4, 4, 0, 1, 3, 1, 4, 1, 1, 2, 2, 1, 1, 1, 3, 0, 1, 3, 1, 4, 4, 4, 0, 1, 3, 1, 4, 1, 1, 1, 3, 0, 1, 3, 2, 1, 1, 2, 2, 3, 4, 3, 0, 2, 4, 1, 0, 2, 4, 3, 4, 3, 2, 2, 1, 2, 4, 2, 1, 0, 2, 4, 2, 2, 2, 2, 0, 3, 0, 4, 4, 2, 1, 1, 0, 2, 3, 3, 3, 1, 0, 4, 3, 1, 2, 4, 2, 4, 2, 2, 3, 2, 0, 2, 0, 1, 4, 1, 4, 3, 2, 0, 1, 3, 2, 4, 2, 0, 1, 3, 2, 3, 2, 0, 1, 4, 2, 4, 4, 0, 1, 2, 0, 2, 3, 3, 4, 1, 1, 0, 1, 2, 4, 0, 3, 0, 3, 3, 1, 2, 4, 4, 4, 1, 0, 2, 3, 1, 1, 2, 2, 1, 4, 4, 2, 2, 2, 3, 0, 0, 1, 3, 2, 0, 3, 0, 3, 1, 0, 4, 0, 1, 2, 3, 4, 0, 3, 2, 0, 0, 1, 1, 1, 3, 4, 4, 4, 1, 0, 0, 1, 1, 1, 3, 2, 2, 4, 2, 4, 3, 0, 1, 0, 3, 3, 3, 1, 4, 3, 1, 0, 1, 4, 3, 3, 1, 2, 2, 2, 1, 0, 3, 3, 3, 0, 4, 2, 1, 0, 3, 0, 0, 2, 4, 3, 0, 4, 4, 3, 1, 2, 3, 2, 3, 1, 4, 2, 3, 2, 4, 1, 3, 3, 1, 1, 1, 2, 4, 1, 0, 3, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 3, 1, 0, 3, 2, 4, 4, 1, 4, 2, 2, 1, 0, 2, 3, 0, 1, 3, 0, 3, 4, 1, 0, 2, 1, 1, 2, 3, 1, 0, 4, 4, 3, 1, 2, 2, 1, 1, 0, 2, 1, 0, 4, 2, 0, 0, 1, 3, 3, 0, 4, 2, 2, 3, 1, 1, 1, 3, 1, 0, 1, 0, 2, 4, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 1, 4, 3, 3, 1, 3, 0, 4, 3, 0, 4, 1, 1, 4, 1, 2, 1, 4, 1, 2, 2, 0, 2, 4, 0, 2, 1, 4, 3, 4, 4, 3, 1, 1, 3, 1, 4, 3, 4, 0, 3, 0, 0, 3, 4, 2, 4, 0, 2, 1, 2, 3, 4, 3, 0, 2, 2, 4, 2, 0, 0, 4, 0, 2, 3, 0, 2, 4, 0, 0, 4, 2, 0, 4, 3, 3, 2, 0, 1, 1, 0, 4, 1, 2, 0, 0, 2, 4, 0, 2, 0, 4, 1, 4, 2, 0, 2, 4, 2, 3, 4, 2, 2, 3, 2, 0, 0, 3, 1, 3, 4, 4, 2, 1, 2, 1] pubkeycol1128 = [0, 2, 4, 4, 2, 3, 3, 3, 0, 4, 4, 3, 0, 0, 0, 1, 4, 2, 1, 0, 0, 4, 1, 2, 0, 0, 3, 1, 0, 3, 1, 1, 2, 3, 3, 2, 0, 0, 4, 3, 0, 3, 3, 1, 2, 3, 1, 1, 2, 4, 4, 0, 4, 3, 2, 0, 4, 1, 1, 4, 2, 2, 0, 3, 2, 4, 1, 0, 1, 0, 4, 4, 4, 0, 1, 3, 1, 2, 0, 1, 4, 3, 0, 2, 2, 0, 1, 4, 1, 1, 1, 0, 2, 3, 2, 3, 3, 1, 0, 1, 4, 0, 0, 2, 1, 2, 3, 4, 2, 1, 1, 1, 3, 0, 3, 2, 1, 1, 4, 3, 3, 3, 1, 0, 1, 0, 1, 2, 0, 1, 3, 4, 0, 2, 0, 2, 2, 4, 0, 2, 1, 4, 0, 0, 4, 0, 3, 4, 2, 3, 0, 0, 3, 2, 1, 1, 0, 3, 4, 0, 1, 2, 4, 2, 1, 0, 2, 2, 3, 0, 3, 3, 0, 2, 1, 3, 2, 0, 0, 2, 1, 3, 4, 3, 1, 4, 3, 2, 4, 0, 2, 2, 4, 1, 2, 3, 4, 4, 4, 1, 4, 2, 1, 0, 3, 0, 3, 0, 0, 2, 4, 4, 1, 3, 2, 1, 0, 1, 3, 1, 2, 3, 0, 3, 3, 1, 3, 0, 3, 2, 3, 2, 4, 3, 2, 2, 1, 4, 0, 1, 0, 2, 1, 3, 0, 1, 3, 3, 0, 4, 0, 0, 3, 3, 4, 0, 3, 1, 4, 1, 1, 4, 0, 1, 3, 0, 0, 0, 3, 0, 1, 0, 1, 1, 2, 4, 4, 0, 4, 3, 3, 3, 1, 1, 0, 3, 1, 2, 3, 0, 2, 4, 4, 4, 3, 2, 4, 1, 2, 0, 2, 0, 3, 0, 3, 1, 1, 2, 2, 0, 4, 4, 1, 3, 4, 2, 1, 1, 1, 4, 4, 4, 4, 1, 3, 4, 3, 1, 2, 1, 3, 1, 3, 1, 3, 1, 1, 0, 0, 2, 0, 4, 1, 1, 0, 2, 3, 4, 2, 2, 2, 0, 1, 3, 4, 1, 1, 1, 2, 0, 1, 1, 0, 4, 3, 1, 2, 0, 3, 1, 3, 1, 3, 0, 1, 4, 3, 2, 2, 1, 1, 0, 4, 3, 4, 3, 2, 4, 4, 4, 4, 2, 1, 1, 4, 4, 3, 4, 0, 1, 0, 1, 1, 1, 0, 4, 2, 4, 3, 4, 2, 1, 3, 1, 2, 3, 3, 4, 0, 2, 4, 3, 0, 2, 3, 4, 4, 4, 1, 4, 0, 4, 0, 3, 0, 4, 4, 4, 2, 2, 2, 0, 2, 4, 4, 3, 1, 4, 4, 1, 1, 0, 4, 0, 0, 2, 0, 0, 2, 3, 3, 1, 1, 2, 4, 2, 3, 1, 3, 0, 3, 0, 2, 0, 4, 1, 0, 0, 2, 3] pubkeycol1129 = [2, 1, 1, 4, 4, 3, 0, 0, 3, 4, 1, 0, 2, 2, 1, 0, 4, 2, 3, 0, 2, 4, 3, 3, 4, 4, 2, 0, 0, 2, 3, 1, 1, 2, 3, 3, 0, 0, 4, 2, 3, 2, 2, 2, 4, 2, 4, 4, 2, 1, 2, 1, 0, 4, 4, 1, 0, 4, 1, 3, 3, 0, 2, 2, 1, 3, 4, 1, 4, 2, 3, 1, 0, 2, 4, 4, 1, 3, 4, 1, 4, 2, 4, 1, 2, 2, 4, 3, 1, 3, 1, 0, 0, 0, 0, 2, 2, 1, 2, 4, 2, 3, 1, 3, 4, 3, 2, 1, 4, 0, 2, 4, 3, 1, 4, 1, 1, 2, 4, 3, 0, 2, 2, 2, 4, 1, 4, 0, 0, 1, 0, 0, 4, 4, 4, 1, 2, 3, 0, 3, 2, 4, 0, 1, 1, 0, 1, 2, 3, 3, 0, 2, 4, 0, 3, 0, 4, 4, 4, 1, 0, 4, 4, 4, 4, 3, 2, 3, 4, 4, 3, 4, 2, 1, 0, 2, 4, 4, 1, 1, 3, 3, 0, 3, 2, 0, 2, 2, 0, 2, 3, 4, 2, 0, 2, 1, 2, 3, 4, 2, 4, 1, 3, 4, 1, 1, 2, 1, 3, 0, 3, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 3, 2, 1, 4, 2, 4, 1, 2, 4, 1, 4, 4, 0, 4, 4, 2, 1, 4, 0, 2, 0, 1, 1, 3, 3, 0, 0, 1, 1, 4, 1, 1, 4, 4, 3, 1, 1, 0, 0, 1, 3, 2, 0, 1, 2, 1, 2, 1, 4, 0, 2, 4, 0, 0, 2, 2, 1, 3, 4, 2, 0, 4, 4, 4, 3, 3, 0, 1, 0, 2, 2, 3, 3, 2, 4, 1, 3, 1, 4, 3, 1, 1, 3, 1, 1, 1, 0, 4, 0, 0, 1, 1, 4, 0, 2, 4, 2, 2, 1, 2, 3, 3, 0, 0, 3, 4, 3, 3, 2, 4, 0, 1, 1, 4, 1, 0, 0, 3, 3, 0, 1, 2, 4, 4, 0, 4, 2, 2, 0, 4, 2, 1, 0, 4, 2, 4, 4, 4, 0, 0, 3, 2, 1, 4, 3, 4, 0, 4, 2, 3, 1, 0, 0, 0, 3, 1, 0, 1, 2, 0, 1, 2, 4, 2, 3, 3, 1, 0, 1, 1, 3, 0, 1, 3, 2, 2, 4, 4, 3, 0, 2, 0, 0, 2, 0, 2, 1, 1, 4, 0, 0, 4, 4, 2, 4, 2, 3, 2, 0, 2, 3, 3, 0, 0, 1, 3, 2, 0, 2, 0, 2, 1, 0, 3, 0, 2, 3, 1, 0, 3, 3, 2, 2, 2, 4, 4, 4, 3, 1, 0, 2, 0, 1, 3, 4, 3, 2, 1, 0, 3, 2, 0, 2, 4, 4, 0, 3, 0, 3, 4, 2, 0, 1, 2, 3, 1, 0, 4, 4] pubkeycol1130 = [1, 2, 1, 2, 3, 0, 2, 3, 2, 3, 4, 3, 4, 2, 1, 1, 3, 2, 0, 1, 4, 2, 0, 1, 3, 4, 3, 4, 4, 4, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 3, 3, 3, 3, 2, 4, 1, 0, 1, 4, 1, 2, 3, 4, 1, 0, 4, 4, 1, 1, 1, 1, 4, 3, 2, 0, 1, 1, 2, 3, 1, 4, 2, 0, 3, 4, 2, 3, 0, 0, 2, 4, 2, 2, 0, 1, 0, 1, 2, 4, 2, 0, 0, 0, 2, 1, 1, 4, 1, 1, 4, 1, 2, 0, 4, 0, 2, 0, 2, 1, 2, 4, 0, 0, 0, 3, 3, 2, 3, 1, 0, 0, 3, 4, 1, 0, 3, 4, 0, 3, 4, 2, 2, 1, 0, 3, 3, 0, 2, 3, 2, 0, 3, 2, 0, 3, 1, 1, 4, 3, 2, 0, 0, 1, 3, 1, 2, 1, 2, 0, 0, 4, 3, 0, 1, 0, 2, 1, 1, 3, 0, 1, 0, 3, 4, 2, 1, 4, 0, 1, 1, 2, 3, 1, 1, 3, 1, 4, 4, 3, 3, 4, 1, 2, 4, 1, 4, 4, 1, 0, 2, 1, 2, 2, 1, 3, 2, 0, 0, 3, 0, 0, 3, 3, 2, 1, 3, 4, 1, 3, 3, 0, 0, 0, 0, 3, 4, 4, 0, 4, 0, 0, 4, 4, 4, 3, 2, 1, 2, 0, 4, 3, 3, 1, 1, 3, 2, 2, 3, 2, 2, 4, 4, 0, 4, 3, 2, 3, 2, 1, 4, 3, 4, 3, 3, 2, 3, 2, 1, 2, 0, 0, 4, 0, 4, 3, 2, 4, 3, 2, 3, 1, 0, 4, 0, 3, 3, 2, 0, 4, 3, 3, 2, 4, 1, 1, 3, 3, 3, 1, 4, 3, 3, 0, 4, 1, 4, 4, 2, 4, 1, 1, 1, 3, 1, 3, 2, 0, 1, 3, 0, 4, 3, 4, 2, 1, 3, 2, 1, 3, 3, 3, 4, 1, 2, 0, 3, 4, 2, 3, 4, 1, 3, 0, 1, 3, 2, 2, 1, 3, 0, 4, 1, 0, 3, 2, 0, 0, 0, 3, 1, 4, 3, 0, 4, 2, 2, 1, 0, 4, 0, 4, 2, 1, 4, 0, 1, 1, 2, 3, 2, 1, 1, 1, 0, 3, 4, 4, 0, 0, 1, 0, 1, 3, 0, 2, 1, 3, 4, 0, 1, 0, 0, 1, 0, 3, 3, 2, 1, 2, 2, 1, 4, 3, 1, 1, 4, 2, 3, 2, 0, 4, 2, 0, 0, 0, 4, 0, 0, 3, 4, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 3, 1, 3, 4, 1, 0, 4, 4, 0, 0, 3, 2, 0, 1, 1, 0, 2, 4, 4, 0, 0, 2, 0, 3, 3, 0, 2, 2, 2, 4, 0, 3, 0, 4, 4] pubkeycol1131 = [3, 0, 0, 4, 2, 2, 1, 3, 2, 1, 0, 4, 0, 4, 2, 1, 3, 2, 0, 1, 3, 0, 1, 4, 4, 2, 1, 0, 1, 0, 3, 2, 0, 0, 2, 3, 1, 1, 0, 3, 2, 2, 1, 3, 2, 2, 2, 3, 4, 4, 3, 4, 2, 0, 1, 4, 2, 0, 2, 2, 0, 3, 4, 2, 1, 2, 2, 0, 2, 3, 3, 0, 2, 0, 0, 2, 0, 1, 4, 4, 2, 2, 2, 1, 1, 1, 3, 4, 4, 3, 3, 1, 2, 1, 1, 4, 1, 3, 0, 3, 1, 1, 4, 4, 1, 1, 1, 1, 4, 3, 2, 0, 3, 3, 3, 2, 4, 2, 0, 2, 2, 4, 3, 2, 0, 0, 3, 2, 0, 2, 2, 3, 0, 3, 0, 1, 3, 3, 4, 3, 3, 1, 3, 3, 4, 4, 3, 4, 4, 1, 4, 2, 0, 3, 0, 1, 0, 2, 4, 2, 1, 3, 4, 0, 0, 2, 4, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 4, 2, 1, 2, 4, 3, 2, 1, 4, 0, 2, 4, 0, 3, 3, 4, 1, 0, 1, 1, 4, 2, 1, 3, 0, 3, 0, 3, 3, 4, 2, 3, 0, 3, 0, 3, 3, 3, 0, 0, 4, 4, 0, 4, 0, 1, 3, 3, 2, 3, 2, 2, 4, 4, 3, 3, 1, 3, 4, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 4, 2, 4, 2, 0, 4, 1, 0, 0, 3, 3, 0, 0, 1, 2, 4, 0, 3, 0, 0, 3, 0, 0, 2, 3, 2, 1, 0, 1, 2, 4, 2, 0, 4, 4, 3, 4, 3, 2, 2, 0, 1, 3, 2, 4, 4, 3, 1, 3, 1, 3, 2, 2, 2, 2, 4, 4, 1, 0, 1, 2, 3, 2, 2, 1, 3, 0, 2, 4, 0, 0, 2, 2, 3, 4, 3, 1, 2, 1, 2, 4, 0, 4, 1, 1, 1, 2, 3, 4, 2, 0, 3, 1, 0, 3, 2, 2, 0, 3, 2, 0, 1, 3, 2, 3, 3, 0, 3, 4, 0, 1, 3, 2, 3, 3, 4, 0, 3, 3, 0, 2, 1, 3, 3, 3, 0, 1, 3, 3, 0, 0, 2, 3, 1, 2, 2, 1, 4, 2, 2, 4, 2, 1, 0, 2, 2, 3, 4, 1, 1, 2, 3, 2, 3, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 4, 3, 2, 0, 3, 1, 4, 3, 4, 4, 3, 3, 2, 2, 4, 1, 2, 0, 4, 0, 4, 2, 4, 4, 1, 0, 4, 1, 0, 3, 4, 0, 0, 3, 0, 0, 2, 1, 2, 1, 3, 3, 0, 2, 1, 1, 3, 4, 3, 3, 2, 0, 4, 2, 1, 1, 4, 2, 2, 2, 4, 1, 3, 1, 0, 0, 1, 1] pubkeycol1132 = [0, 2, 3, 4, 2, 0, 2, 2, 1, 2, 0, 3, 2, 3, 3, 0, 0, 1, 4, 2, 2, 4, 4, 2, 3, 4, 3, 3, 2, 4, 4, 3, 4, 0, 3, 3, 4, 0, 3, 3, 4, 2, 3, 4, 4, 4, 0, 2, 0, 1, 2, 3, 3, 0, 1, 2, 0, 4, 1, 4, 3, 4, 2, 0, 2, 4, 0, 3, 0, 2, 0, 2, 2, 4, 0, 4, 2, 3, 0, 2, 1, 3, 4, 2, 1, 2, 0, 2, 3, 2, 0, 1, 4, 4, 4, 3, 0, 1, 1, 2, 1, 0, 4, 0, 3, 0, 4, 2, 4, 3, 2, 4, 1, 0, 1, 2, 0, 2, 2, 4, 4, 0, 3, 4, 4, 2, 0, 2, 0, 2, 0, 1, 1, 3, 4, 3, 1, 0, 2, 1, 0, 3, 3, 3, 3, 2, 4, 2, 2, 0, 0, 1, 4, 0, 4, 0, 0, 3, 2, 4, 2, 4, 4, 2, 0, 1, 4, 3, 1, 4, 1, 2, 3, 3, 1, 2, 0, 1, 4, 0, 3, 0, 2, 0, 0, 4, 3, 1, 4, 4, 1, 0, 0, 1, 0, 1, 3, 3, 4, 0, 0, 1, 0, 3, 3, 4, 4, 1, 0, 4, 4, 0, 1, 3, 1, 2, 4, 2, 0, 4, 4, 4, 2, 2, 2, 3, 1, 3, 2, 0, 4, 1, 1, 4, 2, 2, 1, 2, 4, 0, 2, 1, 1, 4, 4, 3, 3, 4, 3, 3, 0, 0, 1, 1, 4, 4, 1, 2, 0, 4, 3, 2, 0, 2, 1, 3, 3, 2, 2, 4, 3, 0, 2, 3, 3, 2, 2, 2, 3, 1, 3, 4, 0, 0, 4, 3, 0, 1, 4, 2, 1, 0, 0, 1, 0, 0, 3, 0, 2, 0, 2, 2, 2, 2, 0, 2, 3, 3, 1, 4, 2, 0, 4, 2, 1, 2, 0, 3, 4, 0, 0, 3, 4, 4, 1, 0, 3, 3, 1, 2, 4, 4, 4, 0, 0, 3, 4, 3, 4, 4, 2, 2, 3, 4, 1, 4, 3, 2, 1, 1, 4, 3, 0, 4, 0, 2, 1, 3, 1, 3, 3, 0, 1, 3, 1, 3, 0, 4, 0, 4, 4, 0, 4, 3, 2, 0, 4, 0, 2, 0, 1, 1, 3, 2, 2, 2, 4, 4, 2, 4, 2, 3, 4, 0, 4, 2, 2, 1, 3, 1, 4, 2, 1, 1, 2, 0, 0, 0, 3, 0, 2, 1, 3, 0, 3, 3, 0, 1, 1, 4, 2, 2, 2, 2, 0, 2, 3, 2, 1, 1, 4, 2, 2, 4, 1, 3, 0, 4, 2, 4, 3, 2, 1, 1, 0, 2, 2, 3, 1, 4, 4, 0, 3, 2, 2, 1, 4, 0, 4, 0, 4, 2, 3, 4, 4, 2, 3, 2, 1, 4, 4, 4, 1, 0, 3, 0, 0, 4, 3, 3] pubkeycol1133 = [1, 4, 2, 1, 3, 1, 0, 3, 1, 0, 4, 3, 1, 2, 4, 4, 1, 0, 3, 2, 2, 4, 2, 3, 1, 2, 0, 1, 3, 2, 1, 0, 3, 1, 2, 0, 2, 1, 4, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 4, 0, 4, 4, 1, 4, 4, 2, 1, 3, 3, 3, 2, 3, 0, 4, 2, 1, 4, 2, 2, 1, 0, 4, 2, 3, 1, 2, 1, 4, 2, 2, 4, 2, 2, 4, 0, 0, 4, 3, 3, 4, 0, 0, 2, 2, 1, 0, 2, 1, 0, 4, 3, 3, 0, 2, 4, 3, 0, 2, 0, 0, 2, 3, 4, 1, 3, 3, 2, 2, 0, 2, 3, 1, 2, 1, 0, 0, 2, 1, 4, 3, 0, 4, 1, 2, 2, 3, 3, 0, 3, 1, 4, 4, 4, 0, 2, 1, 4, 0, 0, 4, 1, 2, 3, 3, 2, 1, 4, 2, 4, 2, 3, 2, 0, 1, 4, 3, 0, 3, 1, 4, 0, 4, 0, 0, 4, 3, 4, 2, 3, 2, 3, 0, 1, 1, 1, 4, 3, 1, 3, 4, 0, 1, 3, 1, 4, 1, 1, 1, 4, 2, 3, 4, 1, 0, 0, 4, 1, 0, 2, 3, 0, 2, 0, 1, 2, 0, 3, 1, 1, 3, 1, 1, 0, 3, 0, 4, 0, 4, 0, 2, 4, 2, 0, 4, 3, 4, 2, 1, 3, 2, 4, 0, 4, 2, 2, 1, 0, 0, 4, 1, 2, 1, 1, 1, 3, 3, 0, 3, 4, 3, 2, 0, 4, 0, 4, 2, 2, 3, 1, 1, 4, 3, 0, 3, 0, 1, 0, 0, 1, 3, 3, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 3, 3, 1, 2, 0, 4, 0, 4, 0, 0, 3, 2, 4, 1, 2, 4, 4, 1, 0, 2, 4, 3, 0, 3, 2, 4, 0, 1, 4, 2, 0, 0, 0, 2, 4, 0, 1, 2, 4, 4, 2, 3, 3, 1, 1, 3, 3, 0, 3, 0, 4, 4, 0, 0, 3, 2, 4, 4, 0, 4, 3, 0, 3, 3, 3, 2, 0, 3, 0, 3, 0, 3, 2, 1, 2, 2, 1, 3, 1, 4, 2, 2, 3, 3, 2, 2, 3, 0, 0, 4, 1, 2, 1, 2, 1, 3, 0, 2, 0, 0, 2, 2, 3, 3, 2, 0, 4, 3, 1, 1, 2, 0, 1, 0, 1, 1, 4, 3, 4, 4, 3, 2, 4, 3, 1, 1, 3, 4, 2, 4, 0, 3, 3, 4, 0, 4, 0, 1, 2, 4, 0, 4, 0, 2, 4, 0, 2, 0, 4, 3, 0, 4, 2, 1, 0, 0, 3, 0, 4, 3, 4, 0, 3, 3, 0, 4, 2, 1, 4, 3, 0, 0, 2, 1, 0, 3, 1, 4, 4, 1, 4, 2, 3, 1, 3] pubkeycol1134 = [3, 0, 1, 3, 0, 3, 3, 0, 2, 0, 0, 3, 4, 1, 3, 4, 3, 3, 0, 1, 2, 1, 2, 2, 1, 4, 0, 2, 0, 1, 0, 0, 4, 2, 4, 3, 3, 4, 4, 0, 4, 3, 2, 0, 0, 0, 1, 3, 2, 4, 0, 3, 0, 4, 4, 1, 1, 1, 4, 1, 4, 2, 1, 1, 4, 3, 0, 0, 1, 1, 1, 1, 0, 3, 2, 3, 3, 4, 2, 4, 4, 0, 1, 2, 4, 2, 4, 4, 4, 0, 3, 3, 4, 0, 2, 3, 0, 1, 0, 0, 2, 3, 2, 1, 4, 3, 1, 3, 2, 1, 2, 0, 4, 4, 3, 0, 0, 4, 2, 3, 1, 1, 1, 3, 2, 1, 1, 0, 4, 0, 3, 4, 4, 4, 4, 1, 4, 4, 3, 0, 4, 4, 4, 1, 0, 0, 3, 1, 2, 4, 3, 2, 3, 3, 4, 1, 1, 2, 1, 3, 0, 0, 0, 3, 2, 1, 2, 4, 1, 1, 0, 4, 4, 0, 1, 1, 0, 4, 0, 1, 3, 3, 3, 3, 1, 0, 1, 0, 3, 1, 0, 1, 1, 1, 0, 2, 4, 0, 4, 3, 4, 1, 2, 1, 1, 1, 3, 2, 0, 2, 1, 0, 0, 1, 2, 4, 0, 3, 0, 1, 4, 1, 1, 4, 0, 3, 4, 4, 2, 1, 3, 1, 2, 3, 3, 3, 1, 2, 2, 4, 2, 0, 0, 3, 0, 2, 1, 3, 2, 0, 4, 1, 3, 0, 4, 2, 1, 1, 1, 1, 3, 0, 2, 4, 2, 3, 4, 0, 2, 4, 4, 0, 2, 3, 2, 0, 3, 1, 4, 1, 0, 4, 4, 3, 2, 3, 2, 4, 0, 0, 3, 0, 1, 2, 2, 0, 0, 3, 3, 1, 0, 3, 1, 1, 1, 4, 2, 0, 2, 4, 3, 4, 3, 0, 2, 0, 2, 3, 4, 3, 3, 1, 1, 3, 0, 4, 3, 2, 3, 3, 1, 4, 0, 1, 4, 2, 2, 2, 2, 4, 0, 2, 0, 2, 0, 4, 1, 0, 0, 1, 2, 3, 1, 4, 4, 3, 2, 4, 4, 0, 1, 0, 4, 4, 0, 3, 4, 1, 4, 2, 1, 4, 2, 0, 2, 0, 2, 0, 1, 1, 3, 3, 1, 2, 4, 3, 2, 1, 2, 3, 3, 0, 2, 3, 0, 4, 0, 0, 4, 0, 4, 2, 2, 3, 2, 2, 0, 0, 3, 1, 0, 3, 3, 4, 4, 3, 0, 3, 3, 0, 0, 4, 4, 1, 4, 1, 4, 2, 0, 1, 0, 1, 1, 1, 4, 0, 4, 4, 2, 4, 1, 4, 2, 0, 4, 0, 2, 0, 0, 3, 4, 1, 1, 2, 4, 0, 1, 3, 2, 4, 3, 0, 1, 4, 3, 1, 1, 1, 4, 4, 3, 1, 3, 2, 0, 4, 0, 3, 4, 3] pubkeycol1135 = [2, 0, 0, 4, 4, 3, 4, 3, 0, 1, 2, 3, 4, 0, 1, 0, 2, 2, 0, 4, 1, 2, 0, 0, 1, 1, 4, 3, 3, 3, 3, 2, 2, 1, 4, 3, 4, 3, 2, 0, 3, 0, 2, 2, 4, 3, 3, 4, 3, 3, 0, 2, 4, 2, 2, 0, 0, 2, 3, 1, 0, 3, 2, 2, 2, 2, 1, 0, 3, 0, 4, 0, 2, 3, 2, 1, 3, 1, 1, 4, 0, 1, 1, 1, 1, 2, 3, 3, 2, 4, 2, 4, 4, 3, 3, 2, 4, 0, 0, 0, 0, 3, 4, 0, 4, 0, 4, 1, 4, 0, 1, 3, 2, 1, 4, 0, 3, 4, 4, 1, 1, 0, 1, 4, 4, 4, 2, 4, 4, 4, 1, 3, 4, 4, 3, 2, 0, 0, 1, 3, 0, 4, 4, 0, 3, 3, 0, 2, 2, 4, 3, 4, 0, 2, 3, 3, 2, 2, 3, 4, 1, 3, 1, 2, 2, 4, 4, 4, 4, 4, 3, 0, 0, 2, 4, 1, 4, 0, 1, 2, 2, 4, 1, 3, 1, 0, 4, 0, 0, 0, 1, 3, 3, 4, 4, 3, 2, 1, 0, 1, 2, 3, 1, 4, 0, 4, 4, 2, 0, 4, 3, 2, 0, 0, 3, 0, 2, 0, 2, 1, 4, 2, 4, 4, 2, 1, 1, 1, 4, 2, 3, 2, 3, 1, 4, 0, 0, 3, 0, 3, 1, 0, 4, 3, 2, 4, 2, 2, 4, 4, 3, 2, 2, 4, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 4, 4, 3, 3, 4, 4, 2, 1, 4, 0, 4, 0, 0, 4, 0, 3, 4, 4, 4, 0, 1, 2, 0, 0, 0, 0, 3, 3, 4, 4, 2, 2, 1, 1, 2, 0, 0, 3, 0, 3, 3, 3, 1, 2, 1, 2, 2, 0, 1, 0, 3, 4, 2, 4, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 1, 2, 0, 3, 1, 0, 2, 0, 1, 4, 3, 4, 4, 4, 2, 1, 0, 3, 1, 0, 3, 3, 1, 0, 3, 4, 4, 4, 3, 0, 2, 0, 3, 2, 0, 4, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 4, 4, 4, 3, 2, 2, 1, 2, 1, 1, 4, 0, 0, 3, 4, 4, 0, 1, 3, 3, 4, 1, 3, 0, 4, 3, 1, 2, 4, 2, 4, 1, 4, 3, 0, 3, 4, 3, 0, 2, 3, 3, 1, 4, 1, 4, 2, 0, 2, 3, 3, 4, 4, 0, 3, 4, 2, 3, 0, 3, 4, 4, 0, 1, 1, 2, 0, 2, 0, 4, 3, 3, 1, 1, 3, 1, 3, 3, 4, 1, 3, 4, 4, 4, 0, 1, 2, 1, 1, 3, 4, 2, 1, 4, 2, 1, 1, 4, 1, 4, 4, 0, 4] pubkeycol1136 = [4, 4, 4, 4, 2, 1, 3, 4, 4, 0, 3, 0, 3, 2, 1, 0, 2, 1, 2, 4, 3, 1, 2, 1, 3, 3, 1, 4, 2, 3, 2, 0, 0, 2, 2, 0, 4, 3, 2, 1, 1, 1, 1, 0, 0, 1, 4, 4, 1, 1, 0, 3, 2, 0, 2, 3, 2, 0, 0, 4, 2, 0, 3, 0, 2, 2, 0, 2, 1, 3, 0, 0, 4, 0, 1, 2, 1, 4, 0, 4, 2, 4, 2, 3, 2, 3, 4, 0, 0, 2, 1, 4, 0, 4, 3, 2, 1, 1, 2, 3, 2, 3, 4, 4, 0, 4, 3, 3, 4, 1, 1, 1, 3, 2, 4, 2, 1, 0, 2, 0, 4, 1, 0, 2, 4, 2, 3, 2, 1, 2, 0, 3, 4, 3, 0, 3, 2, 3, 4, 3, 2, 0, 2, 2, 0, 1, 4, 1, 1, 4, 1, 4, 1, 0, 4, 3, 2, 3, 2, 1, 2, 2, 2, 0, 4, 1, 4, 2, 2, 0, 1, 0, 2, 0, 4, 0, 2, 3, 3, 3, 0, 3, 0, 3, 4, 0, 2, 4, 1, 2, 2, 2, 3, 1, 3, 2, 0, 1, 0, 0, 3, 3, 2, 0, 2, 4, 4, 1, 2, 3, 4, 2, 2, 1, 0, 0, 2, 3, 1, 1, 3, 1, 2, 0, 2, 1, 0, 1, 2, 3, 1, 3, 2, 3, 4, 4, 0, 1, 2, 0, 1, 4, 4, 2, 1, 0, 3, 1, 1, 3, 2, 3, 2, 0, 4, 2, 0, 4, 3, 0, 0, 1, 4, 4, 3, 2, 0, 3, 0, 1, 2, 2, 3, 4, 2, 3, 0, 4, 3, 4, 1, 2, 3, 2, 3, 0, 1, 1, 1, 4, 3, 3, 0, 1, 3, 3, 1, 3, 0, 1, 3, 1, 2, 0, 2, 3, 4, 0, 0, 3, 2, 0, 0, 4, 1, 1, 2, 4, 1, 4, 1, 3, 3, 0, 2, 3, 1, 1, 2, 3, 0, 4, 3, 3, 4, 3, 0, 0, 3, 0, 3, 0, 1, 0, 4, 1, 0, 2, 2, 3, 0, 2, 0, 1, 3, 1, 1, 4, 1, 4, 2, 0, 1, 4, 0, 0, 0, 4, 1, 2, 2, 1, 2, 1, 2, 4, 1, 3, 0, 4, 2, 4, 3, 0, 2, 4, 3, 1, 1, 1, 4, 0, 3, 4, 1, 2, 0, 1, 4, 1, 3, 3, 3, 2, 2, 4, 4, 1, 1, 3, 0, 3, 4, 4, 4, 1, 0, 4, 3, 0, 2, 3, 0, 4, 2, 4, 1, 0, 0, 4, 0, 4, 3, 0, 1, 1, 4, 3, 3, 1, 4, 2, 1, 4, 4, 3, 2, 2, 1, 0, 1, 3, 2, 3, 3, 1, 3, 3, 2, 3, 2, 4, 1, 3, 4, 2, 0, 2, 0, 2, 2, 3, 0, 4, 2, 2, 2, 1, 2, 2] pubkeycol1137 = [1, 3, 2, 3, 3, 1, 0, 4, 1, 4, 0, 2, 3, 0, 3, 1, 4, 0, 3, 3, 4, 1, 4, 0, 3, 1, 2, 4, 4, 2, 1, 2, 2, 1, 2, 2, 4, 0, 3, 3, 0, 1, 1, 4, 3, 4, 3, 1, 2, 0, 4, 3, 2, 1, 0, 4, 1, 0, 4, 3, 1, 1, 0, 3, 1, 4, 2, 1, 4, 0, 0, 3, 2, 2, 4, 4, 1, 4, 2, 3, 4, 1, 1, 1, 0, 1, 1, 4, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 4, 1, 2, 2, 3, 3, 1, 3, 3, 3, 4, 3, 0, 2, 1, 0, 4, 4, 0, 4, 0, 0, 3, 4, 1, 3, 4, 1, 2, 2, 1, 2, 1, 1, 0, 4, 3, 4, 3, 1, 0, 0, 4, 3, 2, 3, 0, 1, 1, 4, 4, 2, 4, 4, 0, 1, 0, 4, 0, 4, 3, 3, 3, 1, 3, 2, 4, 4, 1, 2, 4, 2, 4, 0, 2, 2, 0, 1, 2, 0, 0, 2, 3, 3, 1, 2, 1, 1, 4, 3, 2, 3, 2, 3, 0, 3, 3, 0, 4, 4, 2, 0, 4, 0, 3, 0, 3, 3, 0, 4, 1, 0, 2, 1, 0, 4, 3, 4, 3, 2, 1, 3, 3, 3, 1, 4, 1, 0, 3, 0, 1, 4, 4, 0, 3, 1, 3, 2, 4, 1, 3, 1, 3, 4, 3, 3, 4, 2, 4, 3, 1, 1, 3, 0, 1, 3, 3, 3, 1, 4, 4, 1, 1, 1, 3, 3, 3, 2, 3, 2, 2, 1, 3, 4, 2, 1, 3, 4, 1, 1, 4, 1, 0, 4, 1, 4, 3, 4, 2, 4, 4, 1, 1, 3, 0, 1, 2, 0, 1, 2, 3, 1, 2, 1, 2, 0, 2, 0, 3, 4, 1, 0, 4, 2, 2, 0, 4, 4, 2, 1, 1, 3, 2, 2, 1, 0, 0, 1, 4, 1, 0, 2, 4, 1, 1, 0, 1, 4, 0, 4, 2, 1, 4, 0, 4, 0, 1, 2, 3, 1, 4, 0, 0, 1, 2, 2, 1, 3, 0, 1, 1, 1, 2, 1, 0, 3, 0, 4, 4, 3, 3, 4, 4, 0, 4, 1, 0, 4, 3, 3, 0, 3, 1, 1, 1, 2, 2, 2, 0, 4, 1, 1, 4, 4, 3, 2, 0, 3, 4, 4, 3, 2, 3, 2, 0, 2, 4, 3, 0, 4, 3, 0, 1, 1, 2, 3, 1, 4, 4, 0, 3, 1, 3, 2, 3, 3, 1, 1, 3, 2, 0, 0, 3, 2, 2, 2, 4, 1, 0, 1, 3, 3, 3, 0, 3, 2, 3, 4, 0, 3, 1, 1, 0, 0, 0, 4, 3, 1, 0, 1, 4, 3, 4, 4, 0, 4, 4, 1, 1, 4, 0, 2, 2, 2, 3, 0, 4, 3, 1, 1, 4, 1] pubkeycol1138 = [4, 3, 0, 4, 2, 3, 0, 3, 2, 3, 1, 2, 1, 1, 2, 4, 4, 4, 2, 2, 1, 3, 0, 3, 4, 0, 4, 3, 1, 0, 2, 3, 2, 2, 2, 1, 4, 3, 1, 4, 3, 0, 0, 1, 0, 3, 0, 1, 3, 1, 4, 1, 4, 2, 2, 4, 1, 1, 0, 4, 1, 3, 0, 2, 2, 4, 4, 0, 1, 3, 2, 1, 2, 0, 3, 1, 0, 0, 4, 2, 3, 1, 4, 2, 3, 0, 4, 4, 0, 0, 3, 4, 2, 1, 0, 2, 0, 4, 3, 3, 1, 4, 1, 0, 1, 2, 1, 0, 0, 1, 4, 0, 1, 0, 4, 4, 2, 3, 1, 2, 2, 3, 3, 4, 2, 1, 4, 0, 1, 1, 2, 0, 4, 1, 4, 2, 2, 3, 1, 0, 0, 0, 1, 3, 1, 0, 1, 1, 2, 3, 2, 0, 4, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 3, 1, 0, 2, 3, 2, 0, 0, 2, 1, 2, 3, 2, 0, 4, 1, 2, 4, 2, 2, 4, 4, 3, 0, 4, 1, 1, 3, 0, 2, 2, 0, 2, 4, 1, 4, 3, 1, 4, 1, 4, 3, 4, 0, 2, 1, 4, 1, 3, 4, 2, 0, 2, 3, 3, 3, 3, 2, 0, 2, 1, 4, 0, 0, 0, 2, 4, 2, 1, 1, 2, 0, 1, 3, 1, 2, 2, 1, 1, 2, 4, 1, 3, 3, 3, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 3, 0, 3, 2, 4, 2, 0, 4, 0, 2, 3, 4, 2, 0, 1, 3, 3, 0, 3, 4, 0, 0, 2, 4, 1, 1, 2, 2, 1, 1, 2, 4, 4, 1, 4, 4, 4, 1, 1, 3, 3, 2, 4, 0, 1, 3, 0, 3, 2, 2, 2, 2, 0, 1, 4, 3, 1, 2, 2, 4, 0, 3, 2, 1, 2, 0, 2, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 4, 2, 3, 0, 1, 2, 0, 4, 0, 2, 4, 2, 0, 4, 0, 1, 1, 0, 1, 2, 2, 4, 3, 3, 3, 3, 3, 2, 0, 2, 0, 3, 2, 0, 0, 3, 2, 0, 4, 4, 3, 1, 3, 0, 1, 2, 4, 2, 3, 4, 1, 4, 1, 1, 3, 3, 0, 3, 3, 3, 1, 0, 3, 1, 3, 4, 1, 2, 3, 1, 4, 4, 0, 4, 0, 0, 1, 4, 1, 0, 2, 3, 3, 0, 1, 3, 4, 1, 1, 0, 1, 4, 0, 3, 4, 1, 3, 2, 1, 1, 4, 3, 0, 3, 3, 2, 0, 4, 0, 3, 2, 2, 1, 1, 0, 2, 3, 0, 1, 0, 2, 0, 0, 2, 1, 1, 4, 2, 2, 0, 1, 1, 0, 0, 4, 0, 1, 3, 3, 3, 4] pubkeycol1139 = [4, 3, 4, 1, 3, 0, 1, 1, 4, 3, 2, 4, 2, 0, 3, 3, 4, 3, 3, 0, 2, 1, 2, 2, 4, 4, 1, 3, 0, 0, 0, 0, 3, 3, 1, 3, 2, 3, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 3, 3, 0, 0, 1, 2, 0, 1, 0, 2, 0, 4, 3, 3, 2, 4, 4, 4, 0, 3, 0, 0, 0, 3, 2, 3, 2, 1, 1, 0, 2, 3, 4, 1, 0, 0, 3, 0, 2, 4, 3, 2, 1, 1, 4, 2, 1, 0, 4, 2, 0, 3, 0, 4, 2, 4, 2, 3, 0, 2, 0, 1, 2, 4, 3, 4, 1, 0, 0, 3, 4, 1, 2, 1, 4, 4, 2, 0, 3, 3, 2, 4, 2, 1, 3, 2, 3, 2, 1, 0, 2, 2, 1, 4, 0, 4, 2, 3, 0, 1, 1, 4, 4, 2, 0, 3, 4, 0, 4, 3, 3, 3, 4, 4, 1, 4, 3, 0, 2, 3, 3, 4, 4, 3, 0, 4, 3, 3, 2, 0, 1, 4, 0, 3, 1, 3, 0, 1, 4, 1, 3, 0, 2, 4, 1, 3, 3, 3, 0, 0, 3, 4, 3, 3, 1, 2, 2, 1, 2, 1, 0, 4, 2, 3, 4, 3, 3, 1, 3, 2, 0, 0, 2, 4, 3, 1, 1, 2, 2, 2, 1, 3, 1, 0, 0, 1, 2, 3, 1, 2, 0, 1, 3, 4, 1, 4, 3, 3, 4, 4, 3, 2, 1, 0, 3, 3, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 4, 2, 3, 4, 3, 0, 0, 1, 3, 4, 2, 0, 4, 1, 4, 4, 3, 0, 1, 0, 3, 3, 1, 2, 2, 1, 4, 3, 0, 4, 0, 1, 3, 4, 0, 2, 1, 0, 2, 4, 3, 4, 2, 1, 1, 0, 3, 0, 0, 3, 4, 4, 3, 4, 3, 3, 3, 3, 0, 4, 0, 4, 4, 1, 1, 1, 2, 4, 2, 3, 4, 4, 1, 3, 4, 1, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 2, 0, 0, 3, 4, 2, 0, 3, 1, 2, 0, 3, 4, 2, 4, 4, 0, 3, 1, 0, 1, 0, 0, 2, 2, 4, 1, 3, 4, 2, 0, 3, 1, 2, 3, 2, 0, 1, 2, 2, 1, 0, 3, 4, 3, 2, 1, 4, 0, 4, 1, 1, 4, 2, 3, 2, 2, 2, 4, 4, 3, 0, 2, 4, 4, 4, 4, 2, 1, 4, 3, 3, 3, 4, 0, 2, 3, 2, 1, 0, 3, 1, 3, 2, 3, 0, 3, 2, 0, 4, 2, 3, 4, 1, 2, 1, 3, 0, 0, 0, 3, 2, 3, 3, 0, 4, 2, 0, 2, 1, 1, 2, 3, 3, 1, 2, 0, 4, 1, 0, 3, 4, 2, 3] pubkeycol1140 = [4, 1, 1, 3, 0, 4, 3, 0, 0, 0, 3, 1, 4, 4, 4, 3, 2, 2, 4, 4, 1, 2, 4, 3, 1, 3, 4, 0, 3, 0, 0, 4, 2, 4, 2, 2, 0, 2, 2, 4, 3, 4, 3, 4, 3, 2, 0, 0, 2, 2, 0, 0, 1, 3, 2, 0, 4, 4, 0, 1, 4, 4, 1, 1, 0, 4, 2, 0, 4, 2, 3, 3, 2, 3, 4, 0, 0, 3, 1, 0, 3, 2, 2, 2, 4, 3, 2, 0, 3, 3, 1, 2, 2, 0, 2, 3, 4, 1, 1, 3, 3, 4, 2, 2, 4, 2, 2, 4, 3, 2, 3, 1, 3, 1, 3, 4, 0, 0, 4, 3, 1, 3, 4, 0, 2, 3, 0, 2, 4, 4, 1, 4, 1, 0, 3, 2, 2, 3, 2, 2, 3, 4, 0, 0, 0, 3, 1, 1, 2, 2, 2, 3, 1, 2, 4, 3, 4, 0, 0, 0, 3, 4, 0, 1, 3, 3, 4, 1, 3, 4, 2, 3, 1, 3, 1, 4, 4, 2, 4, 4, 3, 2, 3, 4, 0, 3, 1, 4, 2, 1, 2, 1, 0, 2, 4, 2, 1, 4, 1, 3, 2, 1, 4, 2, 0, 3, 1, 1, 0, 3, 2, 4, 1, 0, 0, 3, 0, 4, 3, 4, 4, 1, 3, 2, 2, 0, 4, 1, 3, 3, 3, 4, 4, 4, 1, 3, 1, 1, 4, 3, 3, 3, 4, 3, 0, 3, 0, 2, 0, 1, 2, 4, 0, 2, 4, 1, 4, 3, 0, 1, 0, 4, 0, 0, 0, 1, 3, 1, 3, 3, 0, 1, 4, 1, 3, 0, 0, 2, 1, 1, 4, 0, 1, 1, 1, 4, 0, 3, 2, 2, 1, 0, 1, 0, 3, 1, 0, 1, 3, 3, 3, 4, 2, 4, 0, 0, 4, 0, 1, 0, 1, 0, 0, 3, 3, 1, 0, 1, 3, 3, 3, 2, 3, 3, 0, 0, 2, 2, 2, 2, 4, 0, 4, 2, 4, 1, 3, 0, 0, 3, 0, 3, 2, 0, 1, 4, 3, 2, 4, 3, 0, 2, 2, 3, 0, 0, 3, 3, 2, 3, 0, 1, 4, 3, 0, 1, 4, 2, 4, 4, 3, 0, 3, 0, 3, 4, 1, 3, 4, 2, 2, 0, 4, 1, 3, 4, 3, 2, 2, 0, 2, 1, 3, 3, 0, 1, 3, 3, 2, 3, 1, 3, 4, 4, 3, 4, 4, 3, 1, 0, 2, 0, 4, 4, 4, 4, 2, 4, 4, 0, 1, 3, 3, 2, 3, 1, 4, 1, 1, 2, 1, 1, 2, 2, 3, 4, 1, 2, 1, 1, 1, 3, 1, 2, 2, 4, 0, 3, 3, 4, 3, 0, 4, 3, 4, 3, 1, 3, 4, 1, 3, 2, 0, 2, 2, 4, 2, 3, 3, 4, 2, 2, 3, 1, 4, 4, 3, 1, 4, 2] pubkeycol1141 = [3, 3, 3, 2, 0, 1, 4, 3, 3, 4, 2, 1, 4, 4, 2, 3, 1, 4, 3, 3, 3, 0, 1, 2, 2, 1, 0, 1, 2, 3, 3, 4, 0, 1, 2, 0, 0, 0, 4, 2, 1, 1, 4, 2, 0, 1, 3, 4, 1, 4, 3, 0, 2, 0, 0, 3, 1, 3, 0, 2, 3, 2, 2, 2, 0, 4, 2, 1, 4, 1, 0, 0, 2, 1, 1, 3, 2, 3, 1, 3, 1, 4, 4, 3, 2, 1, 4, 0, 3, 1, 0, 4, 0, 1, 1, 0, 2, 0, 1, 1, 4, 0, 3, 2, 1, 2, 3, 2, 1, 3, 4, 3, 2, 3, 1, 1, 1, 2, 0, 2, 4, 1, 0, 2, 0, 2, 4, 2, 4, 2, 4, 1, 2, 4, 2, 1, 0, 4, 2, 2, 2, 4, 3, 0, 1, 1, 4, 4, 0, 1, 3, 2, 4, 1, 2, 1, 4, 0, 2, 1, 0, 2, 0, 3, 4, 2, 3, 2, 0, 4, 0, 0, 3, 3, 4, 3, 4, 1, 3, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 4, 4, 0, 1, 3, 0, 1, 2, 3, 4, 3, 0, 1, 2, 3, 0, 4, 1, 0, 3, 3, 4, 3, 1, 3, 2, 3, 2, 4, 3, 4, 0, 2, 2, 4, 3, 3, 4, 0, 3, 1, 4, 4, 0, 0, 1, 4, 1, 1, 1, 2, 3, 0, 1, 4, 1, 3, 0, 3, 0, 0, 1, 0, 3, 2, 1, 1, 3, 3, 1, 0, 3, 1, 0, 1, 1, 0, 2, 0, 2, 4, 4, 4, 0, 0, 0, 1, 4, 4, 0, 4, 3, 3, 1, 3, 2, 1, 1, 0, 3, 1, 0, 2, 0, 0, 3, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 2, 2, 1, 1, 0, 2, 2, 4, 0, 4, 1, 3, 0, 1, 4, 4, 2, 3, 1, 0, 4, 0, 3, 1, 2, 2, 3, 4, 0, 0, 0, 3, 3, 3, 3, 2, 0, 2, 3, 0, 4, 0, 3, 1, 4, 2, 4, 4, 2, 3, 2, 1, 2, 1, 3, 1, 4, 1, 1, 0, 4, 2, 4, 0, 4, 1, 3, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 3, 3, 4, 4, 0, 1, 0, 2, 2, 2, 1, 1, 3, 3, 0, 1, 4, 4, 2, 4, 0, 0, 4, 0, 4, 1, 0, 4, 0, 2, 0, 3, 4, 2, 0, 3, 4, 3, 4, 4, 0, 2, 2, 1, 1, 1, 0, 1, 1, 3, 4, 4, 1, 0, 1, 4, 2, 0, 4, 4, 2, 4, 4, 1, 4, 3, 0, 1, 2, 2, 3, 3, 0, 4, 4, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol1142 = [0, 1, 0, 3, 0, 1, 2, 1, 1, 4, 4, 3, 0, 0, 4, 1, 4, 4, 2, 3, 0, 1, 1, 4, 4, 2, 0, 0, 2, 0, 1, 4, 4, 3, 1, 0, 1, 0, 0, 0, 1, 4, 0, 1, 4, 3, 2, 4, 2, 3, 3, 0, 1, 4, 1, 2, 1, 4, 1, 3, 0, 3, 0, 2, 0, 4, 1, 4, 2, 0, 2, 0, 1, 1, 3, 0, 1, 2, 0, 2, 4, 3, 4, 0, 0, 1, 3, 1, 4, 4, 4, 0, 1, 4, 2, 2, 0, 1, 0, 1, 1, 2, 0, 4, 2, 4, 3, 3, 0, 3, 4, 0, 3, 4, 2, 2, 0, 4, 4, 3, 3, 3, 4, 4, 4, 4, 0, 2, 3, 4, 0, 1, 2, 0, 3, 0, 4, 3, 1, 4, 2, 4, 0, 0, 0, 0, 1, 0, 2, 2, 4, 1, 1, 1, 1, 3, 2, 0, 2, 1, 4, 4, 1, 1, 2, 4, 0, 4, 0, 1, 0, 3, 3, 2, 4, 1, 1, 0, 1, 4, 4, 4, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2, 0, 3, 1, 4, 2, 0, 0, 2, 1, 2, 1, 4, 4, 0, 4, 4, 3, 2, 4, 1, 0, 0, 1, 4, 4, 4, 2, 1, 3, 3, 0, 4, 0, 1, 2, 0, 0, 4, 0, 0, 4, 3, 4, 4, 4, 4, 0, 1, 1, 0, 3, 2, 2, 0, 2, 3, 0, 1, 3, 3, 3, 0, 1, 1, 4, 2, 4, 4, 0, 4, 4, 0, 3, 1, 3, 3, 2, 2, 2, 2, 4, 2, 2, 0, 4, 1, 1, 4, 0, 4, 2, 2, 3, 2, 1, 0, 4, 3, 3, 0, 4, 1, 2, 3, 0, 4, 4, 0, 4, 4, 3, 4, 3, 3, 2, 2, 4, 0, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 4, 1, 4, 1, 1, 3, 0, 3, 4, 4, 3, 2, 0, 3, 1, 4, 2, 0, 1, 3, 4, 1, 1, 2, 2, 4, 1, 0, 3, 1, 2, 0, 4, 4, 2, 3, 2, 3, 1, 0, 4, 2, 4, 2, 4, 4, 0, 3, 4, 4, 2, 4, 2, 2, 2, 1, 4, 3, 1, 1, 3, 1, 2, 1, 2, 2, 0, 4, 1, 3, 1, 4, 0, 4, 3, 1, 1, 0, 2, 1, 0, 2, 0, 3, 4, 3, 1, 4, 3, 4, 0, 0, 3, 3, 4, 2, 0, 2, 3, 1, 4, 1, 1, 4, 1, 1, 2, 4, 2, 1, 2, 3, 2, 2, 0, 1, 3, 2, 0, 4, 2, 2, 2, 1, 1, 0, 3, 1, 3, 3, 3, 2, 0, 3, 2, 4, 2, 2, 0, 2, 4, 2, 3, 0, 1, 1, 4, 2, 3, 2, 3, 4, 4, 1, 1, 1, 2, 3, 2] pubkeycol1143 = [2, 2, 1, 1, 0, 0, 0, 2, 4, 4, 4, 0, 2, 4, 1, 3, 1, 1, 2, 2, 3, 1, 2, 3, 4, 0, 2, 2, 1, 3, 4, 2, 4, 0, 4, 3, 4, 2, 4, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 4, 2, 2, 1, 0, 0, 1, 2, 2, 4, 2, 3, 1, 2, 0, 4, 2, 3, 2, 4, 0, 3, 1, 0, 0, 1, 1, 4, 1, 2, 0, 1, 3, 3, 2, 4, 1, 0, 2, 2, 2, 2, 1, 3, 4, 2, 4, 3, 0, 4, 3, 3, 0, 0, 0, 3, 3, 2, 3, 0, 4, 1, 2, 4, 0, 1, 2, 3, 2, 1, 3, 1, 2, 3, 3, 1, 2, 1, 1, 0, 4, 1, 2, 1, 2, 3, 4, 3, 0, 0, 3, 3, 3, 0, 1, 3, 4, 0, 0, 0, 2, 4, 4, 3, 3, 0, 1, 3, 3, 0, 0, 3, 0, 0, 0, 0, 4, 4, 4, 0, 0, 1, 1, 3, 3, 0, 4, 1, 0, 0, 2, 2, 2, 1, 1, 3, 2, 4, 4, 1, 4, 4, 1, 3, 3, 1, 3, 3, 2, 3, 1, 2, 0, 1, 2, 0, 3, 4, 1, 2, 1, 4, 4, 3, 4, 1, 2, 3, 3, 2, 1, 0, 4, 4, 3, 4, 1, 4, 4, 3, 3, 1, 0, 4, 3, 1, 3, 2, 2, 1, 1, 3, 1, 4, 1, 3, 1, 4, 1, 0, 3, 4, 2, 2, 0, 4, 4, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 4, 4, 4, 2, 1, 0, 2, 3, 3, 4, 4, 2, 4, 1, 4, 4, 0, 4, 2, 4, 3, 2, 1, 4, 3, 2, 4, 1, 1, 2, 3, 3, 4, 4, 4, 0, 4, 1, 4, 2, 3, 0, 4, 3, 4, 3, 3, 2, 2, 2, 3, 2, 0, 1, 4, 1, 2, 4, 3, 4, 4, 2, 1, 3, 3, 3, 2, 2, 2, 1, 3, 1, 4, 4, 3, 3, 0, 3, 1, 4, 1, 3, 3, 1, 3, 4, 2, 3, 3, 1, 3, 4, 3, 3, 2, 4, 2, 3, 3, 3, 3, 0, 4, 4, 3, 0, 0, 2, 1, 1, 3, 2, 1, 0, 2, 2, 4, 2, 3, 4, 4, 4, 0, 1, 0, 1, 2, 0, 4, 0, 4, 0, 4, 3, 4, 3, 3, 0, 2, 4, 4, 2, 2, 4, 4, 2, 4, 2, 1, 4, 0, 2, 1, 0, 0, 3, 1, 1, 0, 1, 2, 0, 0, 4, 2, 1, 1, 1, 4, 1, 3, 1, 3, 2, 0, 3, 3, 1, 4, 4, 0, 1, 3, 3, 2, 2, 1, 2, 3, 3, 0, 4, 1, 4, 0, 2, 4, 3, 2, 3, 4, 4, 2, 4, 1, 0, 4, 4, 4, 4, 4, 2, 1, 4] pubkeycol1144 = [4, 3, 0, 3, 0, 2, 4, 4, 3, 2, 0, 3, 2, 2, 0, 3, 0, 4, 3, 3, 3, 3, 1, 4, 4, 4, 2, 1, 0, 2, 2, 1, 4, 4, 0, 2, 2, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0, 4, 4, 1, 3, 4, 0, 3, 4, 1, 4, 2, 1, 2, 2, 2, 4, 1, 0, 2, 0, 0, 1, 4, 1, 4, 1, 3, 0, 1, 3, 2, 0, 1, 3, 0, 2, 2, 0, 2, 2, 4, 0, 3, 2, 4, 3, 3, 4, 2, 2, 2, 2, 1, 3, 4, 1, 3, 3, 1, 4, 3, 0, 4, 3, 2, 0, 0, 1, 4, 4, 0, 0, 4, 0, 1, 0, 1, 4, 3, 1, 0, 0, 4, 1, 1, 1, 0, 0, 1, 3, 0, 1, 3, 0, 3, 3, 1, 4, 2, 0, 1, 4, 2, 1, 4, 1, 1, 2, 3, 1, 4, 2, 3, 3, 0, 2, 0, 2, 4, 0, 1, 2, 3, 1, 2, 3, 3, 0, 3, 2, 0, 1, 1, 2, 0, 4, 3, 3, 2, 4, 1, 3, 4, 2, 3, 4, 4, 4, 2, 0, 2, 3, 2, 4, 0, 2, 2, 4, 0, 3, 1, 3, 2, 4, 2, 1, 1, 2, 4, 2, 3, 4, 4, 1, 4, 0, 2, 1, 0, 2, 3, 0, 2, 2, 0, 0, 1, 2, 4, 3, 3, 1, 2, 3, 3, 3, 1, 2, 2, 4, 4, 4, 4, 2, 1, 3, 1, 4, 2, 2, 4, 0, 2, 1, 1, 2, 0, 0, 0, 1, 4, 1, 3, 3, 0, 4, 0, 2, 0, 1, 1, 2, 0, 3, 4, 0, 1, 4, 4, 2, 4, 0, 3, 4, 4, 1, 1, 4, 2, 1, 0, 4, 0, 1, 0, 2, 1, 4, 1, 2, 1, 1, 4, 3, 3, 3, 2, 0, 4, 4, 2, 0, 4, 3, 1, 1, 4, 0, 2, 3, 1, 1, 1, 1, 2, 3, 1, 3, 2, 3, 0, 2, 3, 4, 3, 3, 3, 3, 1, 0, 2, 2, 2, 0, 4, 1, 0, 3, 2, 3, 3, 2, 4, 2, 1, 2, 4, 4, 0, 4, 4, 2, 2, 2, 0, 1, 1, 0, 1, 4, 3, 3, 2, 3, 2, 0, 2, 4, 1, 3, 3, 2, 2, 4, 3, 2, 1, 0, 1, 2, 1, 3, 4, 3, 3, 3, 2, 0, 1, 2, 1, 2, 2, 3, 4, 1, 1, 0, 0, 2, 3, 4, 0, 0, 2, 2, 4, 2, 2, 2, 3, 1, 2, 4, 0, 0, 1, 4, 2, 1, 3, 4, 0, 1, 2, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 1, 2, 4, 2, 0, 2, 4, 2, 2, 1, 2, 4, 0, 4, 0, 2, 2, 2, 2, 0, 2, 1, 3, 1, 2, 2, 3, 2] pubkeycol1145 = [1, 1, 2, 3, 3, 2, 4, 0, 4, 0, 1, 3, 0, 4, 4, 1, 2, 4, 3, 1, 3, 1, 2, 0, 4, 2, 0, 1, 4, 1, 0, 0, 2, 2, 3, 2, 1, 1, 0, 0, 1, 2, 1, 3, 4, 3, 0, 1, 4, 2, 1, 4, 4, 4, 4, 3, 2, 4, 1, 2, 3, 3, 2, 0, 0, 4, 4, 0, 2, 1, 4, 3, 4, 1, 4, 2, 0, 2, 2, 2, 1, 2, 0, 4, 2, 4, 2, 1, 1, 0, 3, 4, 3, 0, 2, 2, 3, 1, 3, 1, 4, 4, 1, 1, 0, 4, 0, 0, 1, 1, 0, 2, 0, 4, 3, 1, 1, 2, 3, 1, 1, 0, 4, 3, 2, 4, 2, 4, 1, 0, 1, 2, 2, 4, 0, 3, 1, 3, 4, 1, 1, 0, 3, 3, 4, 1, 2, 0, 4, 4, 4, 1, 4, 0, 4, 2, 0, 1, 4, 2, 4, 2, 0, 3, 3, 0, 4, 0, 3, 1, 0, 2, 3, 1, 4, 1, 4, 3, 0, 3, 2, 0, 0, 2, 1, 3, 3, 2, 3, 4, 2, 4, 3, 3, 3, 0, 2, 1, 4, 1, 1, 2, 4, 3, 4, 1, 3, 1, 1, 2, 2, 3, 0, 1, 3, 4, 1, 2, 4, 3, 4, 2, 2, 2, 4, 1, 3, 3, 2, 1, 4, 3, 2, 3, 1, 4, 0, 3, 4, 1, 4, 3, 1, 4, 2, 4, 4, 0, 3, 0, 3, 1, 3, 0, 3, 3, 2, 4, 4, 0, 3, 1, 1, 3, 1, 0, 2, 4, 3, 0, 1, 4, 0, 0, 4, 3, 0, 3, 3, 3, 4, 4, 1, 0, 4, 0, 4, 0, 4, 0, 4, 2, 2, 0, 4, 3, 2, 3, 1, 3, 2, 2, 4, 0, 1, 0, 2, 3, 2, 3, 3, 0, 3, 1, 0, 4, 3, 3, 0, 4, 4, 0, 2, 4, 4, 0, 1, 0, 0, 2, 4, 1, 3, 3, 3, 4, 4, 4, 4, 0, 0, 4, 2, 0, 3, 2, 3, 1, 3, 2, 4, 1, 1, 4, 2, 2, 0, 0, 1, 0, 0, 3, 1, 4, 3, 1, 0, 2, 0, 4, 1, 3, 4, 4, 0, 4, 1, 0, 0, 3, 2, 3, 0, 1, 4, 0, 2, 3, 3, 4, 3, 2, 3, 3, 3, 2, 0, 3, 4, 0, 0, 0, 2, 3, 3, 0, 3, 1, 0, 3, 3, 0, 3, 3, 3, 0, 0, 2, 0, 1, 3, 4, 3, 4, 2, 3, 4, 2, 4, 1, 4, 3, 1, 3, 0, 4, 0, 4, 4, 3, 4, 4, 4, 1, 4, 1, 4, 3, 3, 1, 4, 0, 1, 4, 1, 3, 2, 2, 4, 0, 3, 3, 3, 1, 0, 4, 3, 2, 3, 4, 0, 2, 4, 4, 2, 4, 4, 2, 1, 1] pubkeycol1146 = [2, 1, 1, 1, 1, 2, 4, 3, 1, 1, 2, 0, 1, 4, 3, 3, 1, 3, 0, 1, 0, 3, 4, 0, 4, 2, 4, 1, 2, 0, 4, 1, 2, 3, 2, 2, 4, 3, 3, 3, 2, 2, 4, 3, 3, 3, 4, 1, 2, 0, 4, 1, 4, 4, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 4, 0, 3, 0, 4, 4, 3, 2, 0, 0, 4, 4, 2, 1, 4, 1, 1, 2, 0, 1, 0, 2, 3, 3, 3, 3, 1, 3, 2, 1, 0, 3, 0, 3, 1, 3, 2, 3, 0, 1, 3, 2, 2, 1, 3, 2, 3, 2, 0, 4, 0, 2, 0, 1, 4, 4, 3, 2, 1, 3, 4, 4, 0, 0, 4, 2, 2, 0, 4, 3, 2, 3, 1, 4, 3, 2, 4, 0, 1, 4, 0, 1, 4, 1, 1, 1, 3, 2, 1, 0, 3, 3, 2, 4, 3, 2, 1, 3, 2, 1, 2, 3, 3, 3, 4, 2, 1, 0, 1, 3, 0, 4, 4, 3, 2, 1, 3, 4, 3, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 3, 4, 4, 2, 1, 0, 4, 3, 0, 4, 2, 2, 1, 4, 3, 4, 0, 2, 3, 3, 4, 0, 3, 2, 0, 2, 3, 4, 1, 4, 1, 0, 0, 3, 2, 3, 1, 2, 4, 3, 4, 0, 1, 3, 3, 0, 1, 2, 4, 2, 0, 4, 0, 3, 3, 2, 3, 3, 4, 2, 3, 3, 3, 2, 4, 2, 3, 1, 2, 4, 2, 0, 4, 2, 3, 1, 4, 1, 0, 4, 4, 2, 1, 2, 3, 3, 1, 3, 3, 4, 4, 4, 3, 2, 4, 3, 0, 0, 4, 3, 1, 3, 4, 2, 1, 2, 2, 2, 2, 2, 0, 1, 4, 3, 3, 2, 4, 0, 2, 1, 0, 1, 4, 0, 4, 4, 0, 3, 0, 2, 2, 2, 4, 3, 0, 0, 2, 4, 4, 4, 4, 2, 3, 3, 4, 2, 1, 2, 3, 2, 3, 3, 2, 1, 4, 4, 2, 0, 2, 0, 0, 0, 0, 3, 0, 4, 4, 4, 1, 4, 2, 2, 3, 4, 2, 3, 4, 4, 2, 3, 4, 3, 1, 1, 1, 1, 3, 1, 1, 4, 4, 0, 3, 3, 1, 2, 1, 4, 1, 0, 0, 3, 0, 3, 3, 1, 2, 4, 4, 4, 2, 0, 3, 3, 4, 0, 1, 2, 2, 1, 3, 1, 4, 4, 1, 2, 1, 3, 3, 3, 1, 1, 1, 1, 0, 4, 3, 0, 1, 3, 1, 1, 0, 2, 4, 4, 1, 2, 0, 2, 0, 0, 1, 0, 0, 3, 3, 1, 2, 3, 2, 0, 0, 0, 0, 4, 1, 2, 0, 3, 2, 1, 3, 4, 1, 1, 4, 4, 4, 2, 4, 2, 4, 1, 2, 3] pubkeycol1147 = [4, 3, 1, 3, 4, 2, 0, 3, 3, 4, 1, 0, 1, 1, 2, 2, 3, 1, 3, 4, 2, 4, 0, 4, 4, 2, 2, 2, 3, 2, 3, 1, 3, 3, 1, 1, 1, 0, 3, 4, 4, 3, 1, 0, 4, 2, 1, 4, 1, 4, 1, 4, 1, 4, 0, 0, 0, 4, 2, 2, 2, 2, 0, 4, 4, 1, 2, 0, 3, 3, 2, 0, 2, 2, 4, 3, 3, 2, 4, 4, 2, 4, 0, 4, 3, 4, 3, 4, 4, 4, 0, 2, 0, 1, 1, 0, 1, 0, 3, 2, 3, 1, 0, 3, 2, 0, 0, 0, 3, 0, 2, 3, 0, 0, 1, 1, 0, 0, 3, 2, 3, 3, 2, 0, 1, 2, 1, 2, 4, 2, 4, 1, 0, 2, 4, 4, 2, 1, 2, 1, 4, 1, 3, 4, 4, 1, 4, 3, 3, 1, 4, 3, 2, 4, 1, 2, 3, 2, 3, 1, 2, 1, 4, 1, 3, 1, 0, 1, 2, 2, 0, 3, 0, 2, 1, 1, 2, 4, 3, 4, 4, 4, 3, 3, 4, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 4, 4, 3, 0, 1, 4, 3, 0, 3, 0, 4, 3, 0, 1, 1, 3, 3, 4, 4, 2, 0, 2, 0, 4, 2, 3, 2, 3, 2, 2, 3, 4, 0, 4, 2, 2, 1, 0, 2, 4, 4, 3, 2, 4, 4, 3, 4, 3, 0, 4, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 3, 1, 3, 3, 0, 4, 4, 4, 1, 3, 4, 1, 3, 4, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 3, 0, 0, 2, 3, 3, 0, 1, 4, 3, 0, 3, 3, 4, 3, 3, 2, 0, 3, 0, 4, 2, 0, 2, 0, 3, 1, 0, 3, 2, 3, 1, 3, 3, 1, 0, 1, 4, 2, 0, 4, 4, 3, 3, 4, 1, 2, 3, 1, 4, 0, 3, 4, 3, 2, 0, 4, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 4, 4, 2, 0, 2, 1, 0, 0, 3, 0, 4, 3, 3, 4, 0, 1, 2, 1, 1, 0, 0, 3, 3, 1, 4, 4, 2, 2, 1, 1, 1, 2, 1, 3, 3, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 4, 4, 4, 3, 3, 3, 4, 3, 3, 1, 1, 1, 1, 2, 4, 1, 2, 3, 2, 3, 3, 4, 0, 1, 1, 2, 3, 3, 0, 1, 4, 2, 3, 1, 0, 0, 1, 2, 3, 0, 2, 2, 1, 1, 1, 0, 4, 1, 3, 1, 3, 0, 1, 4, 4, 3, 1, 4, 2, 1, 2, 0, 1, 2, 3, 2, 1, 0, 2, 2, 0, 3, 0, 2, 3, 2, 4, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol1148 = [0, 4, 1, 3, 3, 3, 1, 4, 2, 4, 4, 4, 0, 3, 0, 0, 0, 4, 4, 2, 4, 1, 3, 0, 0, 3, 0, 0, 0, 1, 1, 3, 2, 0, 1, 3, 1, 3, 0, 1, 3, 3, 0, 4, 4, 3, 3, 2, 3, 4, 1, 1, 1, 4, 0, 0, 1, 1, 1, 4, 1, 4, 4, 0, 3, 1, 3, 1, 4, 0, 3, 1, 0, 2, 2, 0, 1, 2, 3, 3, 1, 3, 3, 4, 4, 3, 4, 2, 0, 1, 1, 4, 2, 2, 4, 1, 0, 1, 1, 1, 0, 2, 4, 4, 0, 1, 2, 2, 2, 0, 3, 0, 4, 4, 4, 0, 0, 2, 4, 1, 3, 1, 2, 2, 0, 0, 0, 1, 4, 2, 4, 1, 3, 2, 3, 0, 2, 4, 0, 0, 1, 2, 3, 3, 1, 2, 0, 0, 1, 2, 1, 4, 0, 3, 3, 2, 1, 4, 1, 4, 1, 3, 3, 4, 2, 0, 1, 1, 2, 1, 2, 3, 1, 1, 0, 1, 0, 4, 2, 1, 1, 0, 1, 0, 0, 3, 3, 4, 0, 0, 3, 4, 4, 3, 2, 0, 1, 0, 0, 0, 2, 3, 1, 3, 0, 4, 3, 1, 0, 4, 2, 2, 2, 2, 1, 0, 3, 4, 1, 4, 0, 0, 4, 4, 1, 2, 1, 2, 3, 4, 2, 0, 2, 3, 4, 1, 0, 0, 4, 2, 2, 3, 0, 3, 2, 3, 0, 1, 4, 0, 4, 3, 1, 0, 1, 0, 3, 3, 3, 3, 1, 3, 4, 2, 0, 2, 3, 3, 0, 1, 0, 1, 0, 3, 0, 3, 2, 4, 1, 3, 4, 1, 2, 1, 1, 2, 3, 1, 4, 4, 3, 1, 0, 3, 3, 3, 4, 3, 1, 2, 1, 1, 2, 2, 4, 2, 0, 4, 3, 0, 1, 1, 4, 3, 3, 3, 1, 1, 4, 1, 2, 2, 3, 2, 4, 0, 1, 0, 4, 1, 0, 4, 2, 0, 3, 4, 4, 2, 0, 0, 2, 1, 2, 3, 4, 2, 4, 1, 1, 2, 3, 2, 4, 2, 4, 1, 4, 1, 0, 1, 3, 3, 2, 4, 1, 2, 3, 4, 2, 2, 3, 2, 2, 2, 0, 4, 3, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 0, 1, 3, 2, 0, 1, 0, 3, 3, 2, 4, 1, 4, 4, 3, 4, 4, 2, 4, 3, 4, 0, 1, 0, 3, 3, 0, 4, 4, 3, 3, 2, 1, 4, 2, 2, 3, 2, 1, 4, 1, 0, 2, 4, 3, 1, 1, 3, 4, 0, 0, 4, 3, 2, 1, 0, 4, 1, 4, 4, 1, 0, 0, 4, 1, 4, 2, 3, 1, 3, 1, 4, 2, 0, 3, 3, 4, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 3, 3, 1] pubkeycol1149 = [3, 1, 0, 1, 2, 1, 2, 3, 3, 4, 3, 1, 3, 0, 3, 3, 3, 2, 3, 0, 0, 2, 3, 3, 0, 0, 1, 0, 1, 1, 4, 4, 1, 2, 3, 2, 0, 1, 2, 1, 0, 1, 4, 3, 2, 1, 4, 1, 4, 3, 0, 4, 0, 3, 1, 2, 2, 0, 0, 4, 1, 2, 2, 4, 3, 3, 2, 0, 2, 2, 4, 2, 1, 1, 1, 4, 1, 0, 4, 3, 0, 4, 1, 4, 0, 0, 3, 3, 2, 1, 2, 2, 1, 4, 1, 0, 2, 1, 4, 3, 3, 1, 1, 2, 2, 1, 4, 2, 4, 1, 2, 1, 2, 3, 0, 1, 3, 0, 0, 1, 1, 3, 1, 1, 3, 0, 1, 0, 2, 4, 0, 0, 4, 4, 2, 0, 3, 0, 4, 4, 2, 1, 2, 4, 2, 3, 2, 2, 0, 4, 4, 3, 3, 1, 1, 4, 4, 0, 4, 3, 1, 0, 3, 0, 1, 1, 4, 2, 4, 0, 2, 1, 4, 1, 3, 1, 0, 4, 4, 0, 2, 2, 4, 2, 3, 0, 1, 4, 4, 1, 1, 0, 4, 4, 0, 1, 1, 0, 1, 0, 3, 2, 0, 2, 3, 3, 3, 1, 4, 4, 2, 4, 3, 1, 3, 2, 1, 4, 2, 0, 4, 0, 4, 4, 3, 2, 4, 0, 4, 4, 0, 3, 0, 0, 2, 4, 4, 1, 1, 2, 4, 3, 0, 3, 0, 0, 4, 3, 0, 1, 3, 4, 4, 1, 3, 3, 1, 0, 1, 3, 2, 4, 1, 3, 3, 0, 4, 1, 3, 1, 1, 2, 1, 1, 2, 1, 2, 2, 4, 1, 2, 0, 4, 0, 4, 2, 1, 4, 2, 1, 0, 3, 2, 0, 4, 4, 3, 1, 1, 0, 1, 4, 2, 1, 1, 3, 3, 4, 1, 4, 4, 3, 4, 4, 4, 2, 1, 4, 2, 2, 1, 2, 0, 3, 0, 4, 2, 1, 0, 2, 4, 2, 2, 3, 4, 0, 3, 4, 3, 1, 2, 0, 3, 0, 3, 3, 0, 1, 1, 3, 1, 4, 1, 3, 4, 2, 0, 4, 2, 2, 4, 3, 1, 4, 1, 1, 4, 1, 3, 0, 1, 0, 4, 0, 4, 2, 2, 3, 2, 3, 3, 4, 3, 0, 4, 4, 1, 3, 1, 0, 0, 4, 4, 2, 3, 0, 0, 1, 3, 1, 4, 4, 2, 1, 0, 2, 1, 2, 4, 0, 4, 0, 2, 0, 2, 4, 3, 3, 3, 2, 1, 2, 2, 1, 1, 3, 4, 1, 3, 4, 0, 3, 2, 3, 2, 0, 1, 4, 1, 1, 1, 2, 2, 0, 4, 4, 0, 3, 1, 2, 1, 3, 4, 0, 3, 4, 0, 2, 4, 2, 4, 0, 3, 0, 0, 4, 3, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 4, 4, 2] pubkeycol1150 = [3, 2, 2, 2, 4, 0, 3, 3, 4, 3, 2, 4, 2, 1, 0, 3, 4, 2, 4, 1, 4, 0, 0, 0, 2, 0, 4, 1, 2, 2, 0, 3, 0, 0, 2, 0, 4, 3, 4, 1, 3, 0, 0, 4, 1, 1, 1, 3, 1, 3, 1, 4, 1, 4, 4, 2, 1, 3, 2, 3, 0, 4, 3, 0, 1, 0, 3, 1, 1, 4, 4, 3, 0, 4, 3, 4, 4, 2, 4, 2, 0, 2, 1, 2, 3, 1, 3, 2, 4, 2, 0, 4, 1, 4, 4, 2, 4, 4, 4, 3, 4, 1, 3, 3, 4, 3, 1, 0, 3, 0, 1, 0, 3, 2, 0, 4, 4, 0, 0, 2, 2, 3, 0, 2, 3, 2, 4, 3, 3, 4, 1, 1, 4, 0, 2, 0, 0, 0, 4, 1, 2, 2, 4, 0, 0, 2, 0, 0, 3, 0, 1, 3, 2, 0, 4, 2, 1, 4, 4, 0, 0, 4, 0, 4, 2, 4, 0, 0, 1, 0, 2, 3, 1, 3, 3, 0, 1, 1, 3, 1, 0, 4, 0, 3, 4, 0, 4, 1, 1, 3, 3, 2, 1, 4, 3, 0, 0, 2, 2, 0, 0, 2, 0, 4, 1, 2, 2, 3, 4, 4, 0, 4, 3, 1, 3, 4, 4, 1, 3, 2, 0, 3, 3, 4, 2, 1, 3, 3, 4, 2, 4, 3, 4, 0, 2, 3, 3, 4, 3, 0, 0, 2, 2, 1, 3, 4, 4, 3, 0, 2, 1, 0, 1, 3, 4, 0, 2, 2, 1, 0, 2, 2, 3, 4, 1, 2, 1, 1, 3, 3, 2, 1, 1, 1, 3, 4, 4, 2, 3, 4, 3, 1, 2, 2, 0, 1, 4, 2, 3, 4, 4, 0, 0, 4, 0, 3, 2, 0, 3, 0, 4, 3, 0, 3, 1, 2, 4, 2, 2, 1, 3, 0, 3, 3, 4, 0, 1, 1, 4, 0, 4, 1, 0, 3, 1, 1, 3, 4, 1, 2, 0, 3, 3, 0, 1, 1, 2, 2, 0, 4, 4, 4, 1, 3, 2, 3, 2, 0, 4, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 4, 2, 1, 2, 0, 3, 0, 4, 3, 1, 1, 4, 2, 3, 0, 4, 0, 4, 4, 1, 1, 3, 4, 0, 2, 2, 1, 3, 1, 1, 2, 1, 3, 4, 3, 0, 4, 1, 4, 3, 4, 1, 1, 4, 0, 3, 0, 3, 1, 3, 3, 2, 2, 4, 3, 3, 0, 2, 3, 4, 1, 2, 4, 1, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 2, 0, 1, 1, 2, 2, 1, 1, 3, 0, 2, 4, 0, 1, 0, 2, 4, 0, 1, 2, 0, 3, 1, 4, 0, 3, 3, 4, 2, 1, 0, 0, 0, 2, 4, 0, 1, 1, 0, 2, 2, 3] pubkeycol1151 = [2, 1, 0, 3, 3, 3, 3, 0, 1, 0, 3, 0, 3, 1, 3, 0, 4, 1, 1, 4, 3, 4, 4, 0, 4, 1, 1, 3, 1, 3, 3, 3, 1, 2, 1, 3, 3, 4, 4, 0, 2, 2, 4, 1, 2, 0, 0, 4, 0, 2, 2, 2, 3, 1, 1, 2, 1, 2, 4, 2, 3, 0, 2, 2, 0, 3, 3, 3, 4, 3, 0, 0, 2, 1, 1, 1, 3, 4, 3, 3, 3, 1, 2, 2, 0, 0, 3, 0, 4, 0, 2, 4, 0, 1, 1, 2, 0, 3, 0, 0, 4, 0, 1, 3, 4, 1, 4, 3, 2, 0, 3, 1, 4, 3, 1, 4, 0, 4, 1, 4, 2, 2, 2, 4, 1, 0, 1, 3, 3, 4, 4, 0, 3, 3, 3, 0, 0, 2, 2, 2, 2, 3, 3, 3, 3, 3, 0, 2, 0, 1, 2, 4, 2, 0, 3, 2, 1, 4, 1, 2, 3, 2, 0, 4, 2, 1, 0, 0, 2, 2, 4, 0, 1, 1, 0, 1, 4, 0, 3, 3, 3, 1, 1, 0, 3, 4, 3, 3, 0, 2, 4, 2, 1, 2, 3, 4, 0, 1, 2, 2, 3, 4, 1, 0, 2, 2, 3, 0, 2, 2, 1, 3, 2, 2, 3, 0, 2, 3, 0, 3, 3, 1, 3, 1, 0, 1, 4, 2, 3, 2, 3, 3, 1, 4, 0, 3, 1, 0, 1, 4, 3, 0, 4, 2, 2, 2, 1, 3, 1, 4, 2, 2, 4, 0, 0, 1, 0, 1, 4, 3, 3, 2, 1, 1, 2, 2, 3, 3, 3, 2, 2, 0, 3, 0, 4, 3, 2, 3, 0, 1, 2, 3, 2, 4, 2, 2, 2, 3, 4, 3, 1, 3, 1, 2, 0, 0, 4, 3, 4, 0, 2, 3, 1, 3, 0, 1, 4, 1, 4, 2, 2, 1, 2, 1, 0, 4, 4, 2, 1, 3, 2, 2, 4, 3, 2, 2, 3, 2, 0, 1, 3, 2, 1, 0, 4, 4, 2, 4, 3, 0, 0, 2, 3, 1, 1, 4, 0, 3, 0, 4, 2, 3, 1, 1, 1, 2, 4, 4, 2, 3, 2, 3, 2, 0, 2, 1, 0, 3, 0, 4, 4, 4, 4, 1, 3, 3, 3, 2, 3, 1, 3, 0, 4, 2, 4, 4, 4, 3, 0, 2, 3, 2, 1, 2, 0, 2, 3, 3, 2, 4, 0, 4, 3, 4, 2, 2, 1, 3, 0, 3, 2, 0, 3, 4, 4, 1, 0, 3, 2, 3, 0, 1, 4, 1, 2, 0, 3, 1, 0, 3, 2, 4, 2, 1, 3, 4, 4, 0, 3, 3, 2, 1, 1, 0, 3, 4, 1, 4, 1, 1, 2, 2, 0, 0, 1, 4, 0, 3, 3, 1, 0, 4, 3, 3, 2, 4, 3, 0, 3, 2, 1, 1, 3, 1, 0, 4, 4, 1, 4, 1] pubkeycol1152 = [0, 4, 0, 3, 1, 2, 2, 2, 1, 4, 0, 1, 3, 3, 3, 0, 3, 2, 2, 1, 4, 1, 2, 1, 0, 4, 4, 2, 3, 4, 2, 4, 0, 2, 1, 0, 1, 4, 4, 4, 2, 1, 3, 1, 3, 0, 2, 0, 4, 0, 3, 0, 3, 1, 2, 1, 4, 2, 4, 2, 3, 3, 1, 3, 4, 0, 0, 2, 2, 1, 1, 3, 3, 1, 3, 4, 1, 2, 3, 0, 4, 1, 0, 0, 1, 0, 3, 3, 4, 4, 0, 4, 0, 0, 0, 1, 1, 4, 3, 3, 1, 0, 4, 1, 3, 3, 0, 4, 2, 2, 4, 3, 4, 4, 1, 1, 2, 0, 1, 1, 4, 4, 1, 1, 2, 4, 0, 4, 2, 4, 0, 0, 4, 1, 1, 2, 4, 0, 3, 1, 4, 3, 2, 1, 4, 0, 0, 4, 1, 2, 1, 4, 3, 0, 3, 2, 2, 4, 3, 2, 4, 1, 4, 2, 2, 2, 0, 2, 4, 3, 3, 1, 1, 3, 3, 2, 0, 0, 4, 2, 3, 4, 1, 0, 1, 3, 0, 0, 3, 3, 3, 4, 2, 2, 1, 0, 2, 4, 3, 1, 1, 0, 4, 0, 2, 0, 1, 3, 0, 1, 2, 3, 0, 1, 0, 1, 3, 3, 3, 1, 4, 1, 1, 4, 1, 3, 3, 0, 2, 4, 1, 4, 0, 0, 3, 3, 0, 4, 0, 2, 4, 1, 0, 4, 2, 2, 2, 0, 1, 2, 4, 2, 2, 2, 1, 2, 4, 2, 2, 2, 2, 2, 3, 4, 4, 0, 1, 0, 1, 3, 1, 1, 0, 1, 3, 2, 0, 3, 1, 1, 2, 2, 4, 1, 2, 4, 2, 0, 1, 1, 0, 4, 1, 4, 0, 3, 2, 1, 1, 4, 2, 0, 1, 4, 3, 3, 0, 4, 0, 0, 4, 2, 4, 4, 2, 0, 3, 0, 0, 2, 4, 3, 0, 4, 2, 2, 0, 3, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 4, 0, 0, 2, 4, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 3, 3, 2, 0, 4, 0, 1, 4, 1, 3, 1, 0, 4, 0, 0, 1, 0, 2, 0, 3, 3, 3, 1, 4, 2, 1, 3, 3, 0, 2, 3, 4, 2, 0, 3, 0, 4, 2, 3, 4, 3, 2, 4, 1, 1, 1, 1, 3, 4, 4, 0, 3, 4, 4, 0, 0, 1, 2, 0, 2, 2, 0, 4, 3, 1, 4, 3, 1, 4, 0, 1, 2, 4, 1, 4, 2, 1, 0, 3, 1, 3, 4, 2, 2, 4, 4, 2, 1, 2, 4, 1, 3, 3, 0, 0, 2, 4, 1, 3, 3, 4, 4, 0, 4, 4, 0, 2, 0, 0, 4, 1, 4, 1, 2, 4, 0, 0, 2, 2, 4, 1, 2, 1, 2, 2, 4, 1] pubkeycol1153 = [1, 1, 3, 4, 2, 3, 4, 0, 0, 2, 0, 3, 0, 4, 2, 1, 4, 1, 2, 0, 4, 2, 4, 2, 2, 3, 4, 1, 1, 4, 3, 0, 4, 3, 3, 3, 0, 3, 0, 1, 4, 4, 1, 3, 3, 2, 3, 3, 1, 2, 1, 2, 2, 4, 3, 1, 2, 2, 4, 4, 4, 1, 2, 0, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 4, 2, 1, 4, 1, 1, 0, 3, 3, 2, 2, 1, 1, 2, 4, 0, 0, 4, 4, 4, 3, 3, 0, 4, 4, 4, 1, 3, 1, 4, 3, 0, 2, 2, 3, 4, 2, 4, 1, 4, 0, 2, 1, 1, 2, 0, 4, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 4, 2, 0, 0, 3, 1, 3, 4, 2, 3, 2, 1, 4, 1, 1, 1, 3, 0, 2, 1, 2, 3, 4, 1, 0, 1, 0, 4, 2, 2, 2, 2, 3, 4, 1, 4, 4, 3, 0, 1, 2, 4, 4, 4, 1, 0, 1, 4, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 3, 0, 2, 0, 1, 4, 0, 2, 0, 2, 0, 0, 3, 2, 2, 4, 3, 0, 1, 0, 3, 4, 1, 2, 1, 2, 3, 4, 0, 1, 1, 2, 2, 3, 1, 4, 3, 4, 4, 0, 0, 0, 4, 3, 0, 3, 3, 3, 2, 0, 4, 1, 2, 0, 1, 4, 0, 2, 4, 3, 1, 2, 1, 4, 0, 0, 3, 3, 3, 2, 1, 4, 4, 4, 3, 0, 2, 4, 2, 1, 4, 3, 2, 4, 4, 2, 3, 3, 2, 1, 0, 2, 2, 0, 0, 4, 4, 2, 3, 1, 2, 3, 0, 0, 2, 0, 4, 1, 3, 2, 1, 4, 3, 1, 3, 3, 2, 3, 0, 4, 2, 4, 4, 2, 1, 1, 3, 2, 3, 2, 0, 3, 2, 2, 1, 0, 1, 1, 2, 3, 0, 4, 3, 1, 4, 2, 4, 2, 2, 3, 0, 4, 2, 3, 4, 2, 3, 1, 2, 0, 0, 1, 2, 3, 2, 0, 2, 2, 3, 2, 3, 4, 0, 3, 1, 1, 0, 0, 0, 4, 4, 0, 1, 4, 2, 2, 2, 0, 4, 2, 1, 0, 0, 4, 1, 1, 2, 0, 2, 3, 4, 4, 1, 1, 0, 4, 3, 0, 0, 0, 0, 1, 3, 3, 0, 4, 0, 4, 0, 3, 1, 3, 0, 1, 3, 2, 3, 1, 1, 1, 3, 3, 3, 2, 3, 4, 3, 1, 3, 2, 1, 3, 0, 0, 4, 0, 3, 0, 1, 2, 0, 1, 3, 2, 3, 1, 4, 4, 1, 0, 1, 2, 3, 0, 4, 3, 2, 4, 4, 2, 4, 1, 3, 2, 2, 3, 2, 3, 0, 0, 3, 4, 4, 1] pubkeycol1154 = [2, 0, 4, 0, 2, 3, 2, 4, 1, 3, 0, 2, 3, 3, 4, 1, 0, 2, 2, 4, 4, 2, 2, 1, 3, 3, 2, 4, 2, 3, 0, 1, 1, 2, 4, 3, 1, 0, 4, 4, 3, 3, 0, 1, 0, 3, 4, 2, 0, 4, 4, 4, 2, 2, 0, 0, 2, 0, 4, 4, 4, 3, 0, 0, 4, 4, 4, 1, 4, 3, 0, 3, 1, 1, 2, 1, 1, 3, 4, 1, 3, 3, 1, 0, 1, 4, 0, 2, 0, 4, 0, 2, 3, 0, 1, 3, 0, 4, 1, 0, 4, 3, 2, 3, 0, 4, 2, 2, 3, 0, 0, 1, 0, 0, 2, 0, 3, 3, 0, 2, 0, 1, 2, 4, 2, 3, 3, 0, 2, 0, 2, 2, 0, 0, 0, 2, 3, 4, 3, 0, 2, 0, 2, 4, 1, 3, 0, 4, 2, 1, 0, 4, 0, 4, 3, 1, 2, 3, 4, 4, 3, 0, 1, 2, 4, 0, 4, 2, 2, 3, 3, 2, 0, 1, 0, 4, 4, 0, 0, 0, 1, 2, 0, 0, 3, 4, 1, 4, 2, 1, 4, 0, 3, 2, 1, 1, 2, 4, 2, 3, 3, 2, 0, 3, 4, 1, 3, 2, 2, 1, 0, 1, 1, 0, 2, 1, 3, 0, 1, 2, 3, 4, 1, 3, 0, 3, 2, 1, 2, 3, 3, 4, 4, 0, 3, 4, 4, 4, 3, 4, 2, 0, 2, 3, 4, 2, 3, 3, 3, 1, 0, 3, 4, 4, 4, 3, 2, 1, 4, 2, 4, 4, 0, 4, 0, 1, 0, 2, 3, 4, 2, 3, 4, 0, 3, 4, 4, 4, 4, 3, 2, 4, 3, 0, 2, 1, 2, 1, 0, 4, 4, 3, 4, 2, 1, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 3, 0, 2, 1, 3, 1, 3, 0, 2, 4, 1, 1, 3, 0, 4, 2, 1, 3, 3, 0, 4, 3, 4, 4, 2, 2, 4, 2, 0, 2, 2, 4, 0, 4, 2, 1, 0, 0, 3, 1, 4, 1, 0, 0, 3, 4, 2, 1, 1, 2, 4, 3, 0, 3, 4, 1, 2, 0, 0, 4, 2, 4, 0, 3, 0, 0, 3, 1, 2, 2, 4, 2, 3, 3, 2, 1, 3, 1, 1, 0, 4, 3, 0, 3, 0, 4, 0, 0, 3, 0, 1, 0, 4, 1, 4, 4, 0, 3, 0, 4, 3, 1, 0, 1, 0, 1, 2, 4, 3, 2, 2, 3, 2, 2, 0, 3, 0, 3, 4, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 3, 1, 4, 4, 2, 3, 3, 3, 1, 2, 0, 3, 4, 0, 2, 2, 3, 3, 4, 3, 3, 3, 1, 1, 4, 4, 0, 1, 3, 2, 4, 1, 3, 1, 0, 0, 4, 3, 3, 3, 4] pubkeycol1155 = [4, 2, 0, 0, 0, 3, 2, 2, 4, 1, 0, 3, 0, 4, 4, 0, 4, 1, 3, 2, 4, 2, 1, 2, 4, 1, 2, 2, 3, 3, 1, 4, 0, 3, 0, 0, 1, 3, 3, 1, 2, 4, 4, 0, 1, 2, 1, 4, 0, 1, 3, 3, 0, 2, 2, 3, 2, 4, 4, 0, 2, 0, 1, 2, 2, 0, 4, 4, 0, 0, 4, 1, 0, 1, 1, 0, 0, 4, 2, 3, 0, 4, 2, 0, 4, 3, 1, 0, 4, 0, 3, 3, 1, 0, 4, 4, 4, 4, 3, 2, 3, 1, 1, 4, 0, 1, 2, 1, 0, 4, 0, 2, 2, 3, 1, 4, 0, 1, 1, 1, 3, 3, 0, 3, 4, 0, 0, 1, 3, 0, 4, 2, 2, 4, 2, 0, 2, 0, 3, 3, 2, 0, 4, 4, 2, 3, 0, 0, 1, 4, 3, 1, 3, 2, 0, 4, 4, 2, 1, 1, 2, 1, 4, 2, 0, 1, 4, 4, 0, 1, 1, 3, 0, 2, 2, 4, 2, 1, 1, 3, 1, 2, 3, 2, 2, 2, 0, 4, 1, 4, 4, 1, 3, 0, 3, 4, 4, 2, 0, 3, 4, 2, 4, 4, 0, 4, 2, 1, 4, 3, 2, 1, 4, 2, 3, 3, 1, 4, 2, 0, 2, 3, 4, 0, 3, 1, 4, 4, 4, 0, 1, 0, 2, 4, 2, 3, 2, 4, 4, 1, 1, 3, 1, 3, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 3, 0, 3, 3, 3, 0, 1, 2, 3, 4, 1, 0, 3, 0, 4, 3, 1, 2, 2, 2, 1, 2, 2, 4, 2, 0, 3, 4, 2, 4, 0, 1, 2, 3, 3, 1, 4, 0, 4, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 3, 4, 1, 4, 1, 0, 2, 4, 4, 3, 4, 4, 2, 3, 4, 3, 1, 0, 0, 3, 2, 3, 0, 2, 2, 4, 2, 4, 1, 3, 3, 4, 3, 2, 3, 1, 4, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 0, 3, 2, 1, 3, 1, 4, 0, 2, 0, 2, 4, 0, 2, 1, 3, 1, 0, 0, 3, 4, 0, 1, 1, 4, 1, 3, 4, 3, 3, 3, 1, 3, 1, 1, 2, 2, 0, 3, 1, 1, 4, 3, 4, 3, 1, 0, 3, 2, 2, 3, 4, 2, 2, 2, 1, 4, 1, 4, 0, 0, 4, 4, 2, 3, 3, 0, 2, 2, 4, 1, 0, 0, 3, 1, 1, 0, 1, 0, 0, 4, 1, 1, 4, 2, 3, 1, 3, 4, 1, 3, 2, 3, 0, 4, 3, 4, 1, 2, 3, 2, 3, 2, 0, 3, 4, 2, 3, 1, 3, 2, 0, 4, 4, 4, 4, 1, 1, 3, 2, 0, 0, 2, 0, 2, 0] pubkeycol1156 = [1, 1, 0, 2, 1, 0, 2, 3, 3, 1, 4, 0, 2, 0, 3, 2, 2, 3, 0, 3, 2, 4, 4, 3, 2, 3, 2, 2, 3, 0, 0, 2, 1, 2, 4, 2, 3, 0, 1, 4, 1, 2, 3, 4, 2, 0, 2, 1, 3, 4, 4, 2, 3, 0, 4, 0, 4, 1, 4, 4, 0, 3, 0, 0, 3, 3, 3, 0, 0, 1, 2, 3, 1, 2, 0, 4, 1, 0, 0, 0, 1, 4, 4, 4, 1, 4, 3, 1, 3, 4, 1, 0, 0, 1, 3, 0, 2, 0, 2, 4, 0, 0, 2, 3, 0, 2, 0, 2, 3, 2, 4, 1, 0, 3, 0, 4, 2, 1, 4, 2, 1, 3, 3, 1, 4, 3, 1, 2, 2, 0, 3, 3, 3, 3, 2, 3, 4, 3, 3, 4, 0, 3, 4, 2, 1, 4, 1, 4, 4, 4, 2, 3, 4, 0, 0, 2, 3, 0, 1, 3, 1, 2, 2, 3, 4, 0, 3, 2, 3, 1, 2, 4, 4, 2, 3, 1, 1, 1, 3, 2, 3, 4, 3, 1, 0, 2, 3, 4, 3, 4, 2, 4, 0, 3, 1, 4, 2, 3, 3, 2, 2, 4, 0, 1, 3, 3, 4, 4, 1, 0, 1, 0, 2, 3, 2, 4, 1, 4, 2, 3, 0, 3, 0, 1, 1, 4, 2, 2, 0, 0, 0, 4, 3, 2, 3, 1, 0, 4, 2, 0, 1, 1, 2, 0, 4, 1, 3, 0, 0, 2, 0, 2, 0, 1, 2, 1, 4, 2, 4, 0, 0, 4, 3, 2, 1, 1, 3, 2, 3, 0, 4, 1, 3, 0, 2, 1, 4, 4, 2, 4, 0, 1, 1, 2, 0, 2, 1, 1, 3, 2, 4, 2, 2, 1, 0, 4, 1, 1, 0, 2, 3, 1, 1, 2, 3, 1, 4, 4, 4, 1, 0, 1, 3, 2, 3, 3, 3, 3, 4, 4, 4, 3, 2, 3, 1, 1, 0, 2, 2, 2, 4, 2, 1, 2, 2, 1, 1, 4, 1, 2, 0, 1, 3, 1, 1, 2, 2, 1, 1, 3, 2, 1, 0, 0, 3, 1, 4, 4, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 4, 3, 0, 3, 1, 3, 4, 0, 0, 3, 1, 1, 2, 2, 0, 3, 3, 3, 3, 4, 0, 1, 1, 3, 4, 1, 3, 0, 2, 3, 0, 4, 4, 0, 0, 2, 4, 1, 3, 3, 0, 3, 0, 3, 4, 4, 0, 0, 3, 4, 0, 2, 1, 1, 1, 3, 2, 0, 3, 4, 3, 3, 4, 1, 0, 0, 1, 0, 0, 4, 1, 2, 2, 0, 3, 2, 1, 4, 0, 1, 4, 1, 4, 3, 4, 4, 1, 3, 2, 4, 1, 3, 3, 2, 1, 2, 0, 1, 1, 0, 1, 4, 3, 2, 1, 3, 0, 4, 0, 3, 1, 1] pubkeycol1157 = [2, 2, 2, 4, 2, 3, 1, 4, 4, 2, 0, 4, 3, 0, 4, 2, 0, 3, 0, 4, 3, 0, 1, 3, 1, 4, 2, 2, 4, 3, 3, 0, 1, 1, 3, 1, 3, 4, 4, 4, 3, 0, 3, 4, 3, 3, 4, 0, 1, 3, 2, 0, 1, 3, 0, 0, 2, 3, 4, 2, 1, 2, 4, 0, 2, 3, 3, 2, 0, 3, 3, 1, 4, 1, 1, 4, 3, 1, 2, 2, 2, 0, 2, 3, 3, 0, 1, 3, 4, 1, 1, 4, 3, 1, 3, 4, 4, 4, 4, 2, 2, 3, 3, 0, 0, 1, 2, 2, 4, 2, 0, 1, 3, 4, 2, 0, 1, 4, 1, 3, 2, 3, 4, 3, 3, 3, 3, 4, 0, 4, 3, 3, 2, 3, 1, 4, 1, 4, 2, 3, 4, 0, 2, 4, 0, 1, 3, 3, 0, 3, 1, 0, 4, 4, 4, 3, 2, 0, 4, 4, 2, 2, 0, 4, 1, 3, 2, 2, 2, 3, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 3, 0, 0, 3, 3, 4, 2, 2, 2, 4, 1, 2, 1, 2, 2, 0, 1, 0, 4, 2, 1, 1, 3, 3, 2, 1, 3, 3, 4, 1, 1, 2, 3, 1, 1, 3, 3, 1, 0, 3, 0, 4, 0, 3, 1, 1, 4, 4, 0, 1, 2, 1, 1, 2, 1, 0, 4, 2, 3, 2, 4, 1, 0, 1, 1, 2, 2, 0, 4, 2, 1, 2, 0, 4, 0, 1, 1, 2, 2, 0, 2, 3, 2, 1, 0, 4, 1, 2, 4, 3, 4, 4, 3, 3, 1, 4, 2, 3, 2, 0, 1, 1, 4, 3, 4, 3, 3, 3, 1, 2, 3, 3, 3, 0, 0, 4, 4, 2, 0, 2, 3, 2, 3, 1, 2, 3, 0, 1, 0, 4, 0, 2, 2, 1, 2, 4, 4, 0, 4, 4, 0, 0, 2, 4, 2, 2, 1, 4, 1, 3, 4, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 3, 2, 4, 0, 0, 4, 0, 2, 2, 4, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 4, 0, 0, 2, 1, 2, 4, 2, 1, 1, 4, 1, 4, 1, 0, 1, 2, 2, 3, 4, 3, 4, 1, 3, 0, 1, 4, 4, 1, 3, 1, 2, 0, 1, 2, 0, 0, 2, 4, 4, 4, 0, 0, 2, 4, 0, 2, 3, 1, 1, 4, 1, 3, 2, 1, 4, 4, 0, 3, 0, 2, 1, 0, 3, 4, 0, 1, 1, 1, 3, 0, 0, 4, 2, 1, 4, 1, 3, 4, 3, 2, 1, 2, 4, 0, 1, 4, 3, 2, 0, 0, 3, 2, 0, 3, 4, 1, 1, 4, 0, 4, 4, 3, 1, 2, 2, 1, 2, 2, 4, 4, 2, 1] pubkeycol1158 = [4, 1, 4, 4, 2, 4, 3, 3, 2, 1, 4, 4, 1, 3, 2, 2, 1, 4, 0, 1, 3, 0, 0, 1, 2, 4, 4, 1, 2, 3, 2, 4, 1, 2, 2, 0, 1, 3, 2, 3, 2, 1, 4, 0, 2, 0, 2, 1, 0, 3, 4, 0, 3, 1, 3, 3, 3, 2, 2, 4, 2, 1, 2, 3, 2, 3, 0, 2, 4, 4, 1, 3, 3, 4, 2, 4, 1, 0, 3, 2, 1, 1, 4, 4, 1, 1, 3, 4, 4, 4, 4, 1, 3, 4, 2, 2, 2, 2, 3, 0, 2, 1, 4, 3, 1, 3, 3, 2, 1, 4, 4, 3, 0, 3, 3, 2, 4, 4, 3, 2, 3, 1, 0, 4, 0, 1, 2, 4, 4, 0, 4, 1, 0, 0, 1, 0, 4, 3, 1, 2, 4, 1, 1, 0, 3, 1, 4, 3, 3, 3, 4, 0, 1, 3, 1, 3, 0, 3, 3, 2, 3, 4, 3, 0, 1, 4, 2, 2, 3, 4, 2, 0, 3, 1, 0, 1, 1, 3, 0, 0, 4, 1, 4, 3, 3, 1, 0, 4, 1, 4, 4, 0, 2, 2, 4, 0, 4, 4, 0, 2, 3, 1, 0, 1, 1, 2, 2, 3, 2, 1, 0, 4, 1, 2, 3, 3, 4, 0, 3, 0, 3, 2, 3, 4, 1, 4, 0, 3, 1, 2, 2, 2, 0, 1, 2, 4, 3, 4, 4, 3, 0, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 3, 3, 4, 2, 4, 4, 3, 0, 1, 3, 4, 3, 0, 3, 0, 3, 3, 1, 2, 4, 4, 0, 2, 1, 1, 0, 2, 0, 4, 2, 1, 4, 3, 3, 1, 3, 1, 2, 0, 3, 0, 2, 1, 0, 4, 3, 2, 0, 1, 0, 0, 4, 1, 1, 4, 4, 4, 3, 1, 0, 4, 2, 1, 0, 3, 2, 0, 3, 3, 0, 1, 1, 4, 1, 2, 3, 1, 2, 4, 3, 4, 4, 2, 1, 2, 3, 0, 0, 1, 4, 3, 2, 4, 3, 0, 0, 1, 2, 0, 1, 2, 1, 3, 4, 4, 2, 4, 2, 0, 3, 3, 1, 1, 4, 4, 4, 2, 2, 3, 3, 4, 2, 3, 1, 2, 0, 3, 1, 1, 0, 2, 4, 1, 0, 3, 3, 1, 3, 4, 4, 0, 2, 0, 4, 3, 4, 2, 1, 3, 1, 4, 2, 1, 1, 3, 1, 3, 1, 3, 1, 4, 4, 4, 1, 1, 2, 0, 3, 2, 4, 1, 0, 2, 2, 1, 0, 2, 4, 1, 2, 2, 1, 4, 1, 0, 3, 0, 1, 4, 4, 4, 0, 0, 3, 4, 4, 0, 0, 3, 0, 4, 3, 0, 4, 3, 3, 4, 1, 3, 3, 4, 0, 4, 3, 0, 3, 3, 1, 1, 2, 4, 3, 4, 1, 1, 0, 3] pubkeycol1159 = [2, 3, 1, 4, 4, 3, 4, 4, 2, 2, 1, 1, 1, 4, 1, 0, 4, 1, 3, 1, 3, 2, 3, 3, 3, 4, 1, 1, 2, 1, 1, 4, 3, 0, 2, 0, 1, 4, 4, 2, 0, 3, 2, 2, 0, 4, 1, 4, 0, 1, 0, 0, 2, 0, 0, 3, 2, 3, 3, 4, 0, 0, 1, 3, 1, 4, 0, 2, 1, 2, 4, 3, 1, 1, 2, 1, 1, 0, 0, 1, 4, 4, 3, 2, 4, 4, 4, 0, 0, 0, 0, 4, 2, 4, 2, 1, 4, 3, 3, 4, 0, 1, 4, 2, 3, 1, 3, 2, 2, 0, 2, 1, 3, 4, 3, 0, 1, 3, 2, 0, 3, 3, 4, 0, 1, 4, 1, 0, 2, 2, 4, 0, 1, 2, 4, 1, 1, 1, 3, 2, 1, 3, 4, 0, 2, 1, 2, 3, 0, 1, 2, 0, 2, 2, 1, 1, 2, 4, 0, 2, 0, 0, 2, 1, 4, 2, 4, 4, 1, 1, 4, 0, 0, 2, 1, 3, 2, 4, 2, 2, 2, 3, 0, 4, 3, 3, 0, 3, 4, 3, 0, 1, 0, 1, 2, 1, 2, 4, 4, 1, 3, 3, 4, 3, 4, 3, 2, 4, 3, 2, 4, 2, 1, 4, 3, 0, 0, 3, 4, 1, 2, 2, 4, 0, 1, 3, 4, 2, 1, 2, 0, 1, 3, 1, 3, 0, 4, 0, 2, 0, 2, 1, 0, 0, 2, 2, 3, 3, 2, 1, 4, 3, 0, 3, 1, 1, 2, 1, 0, 3, 0, 1, 2, 3, 4, 4, 2, 0, 0, 3, 3, 2, 0, 0, 2, 4, 2, 2, 3, 3, 0, 3, 0, 2, 2, 3, 2, 1, 0, 0, 3, 0, 4, 2, 0, 0, 1, 1, 1, 3, 4, 0, 0, 3, 2, 1, 4, 2, 0, 4, 0, 1, 4, 3, 1, 4, 2, 0, 2, 0, 4, 2, 1, 0, 3, 3, 0, 1, 1, 0, 3, 2, 4, 3, 2, 2, 1, 0, 2, 3, 3, 0, 3, 3, 3, 1, 1, 1, 4, 0, 2, 2, 0, 4, 0, 2, 1, 0, 4, 4, 2, 3, 3, 2, 4, 0, 2, 0, 4, 0, 0, 0, 3, 1, 0, 0, 3, 3, 4, 3, 4, 2, 1, 0, 2, 0, 0, 0, 4, 4, 3, 4, 4, 1, 0, 2, 3, 3, 3, 4, 4, 0, 3, 3, 3, 2, 4, 2, 3, 0, 3, 3, 0, 4, 3, 3, 0, 1, 0, 4, 4, 4, 0, 2, 0, 2, 0, 1, 3, 1, 3, 4, 3, 4, 0, 2, 0, 1, 1, 2, 2, 4, 3, 2, 3, 2, 0, 4, 4, 1, 1, 1, 0, 2, 2, 2, 2, 3, 1, 0, 4, 0, 0, 1, 1, 1, 0, 3, 1, 0, 4, 1, 1, 4, 1, 2, 3, 4, 2, 2] pubkeycol1160 = [3, 4, 1, 3, 1, 3, 4, 0, 3, 2, 1, 0, 1, 0, 1, 1, 0, 3, 2, 2, 3, 1, 3, 3, 3, 3, 0, 0, 4, 3, 3, 3, 0, 4, 0, 1, 4, 4, 4, 4, 1, 1, 2, 4, 0, 4, 3, 4, 1, 4, 2, 4, 3, 0, 1, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 4, 0, 3, 1, 2, 2, 2, 2, 4, 1, 0, 0, 4, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 3, 2, 4, 4, 0, 1, 3, 1, 1, 1, 1, 4, 3, 0, 1, 0, 2, 3, 2, 2, 1, 0, 4, 3, 0, 0, 2, 4, 0, 0, 4, 2, 4, 0, 1, 1, 2, 2, 1, 2, 4, 3, 3, 1, 1, 1, 2, 4, 1, 3, 1, 4, 2, 4, 3, 3, 1, 4, 2, 2, 2, 2, 0, 0, 4, 2, 1, 3, 4, 1, 3, 3, 2, 1, 2, 4, 4, 2, 2, 3, 1, 0, 2, 1, 1, 2, 4, 1, 2, 1, 3, 1, 1, 2, 0, 1, 0, 4, 4, 2, 0, 4, 0, 1, 4, 2, 1, 1, 3, 2, 1, 2, 0, 0, 4, 1, 0, 3, 1, 0, 3, 1, 4, 3, 2, 3, 0, 3, 2, 3, 2, 3, 1, 3, 2, 0, 2, 3, 0, 1, 3, 3, 0, 3, 4, 1, 0, 0, 3, 0, 0, 1, 3, 2, 3, 2, 4, 3, 2, 3, 4, 0, 2, 2, 0, 4, 0, 3, 2, 4, 3, 2, 0, 2, 0, 0, 1, 4, 2, 3, 1, 0, 1, 4, 4, 0, 2, 0, 1, 1, 2, 3, 3, 1, 2, 1, 3, 1, 1, 1, 3, 1, 3, 4, 4, 3, 3, 3, 1, 4, 3, 1, 2, 4, 4, 2, 1, 0, 4, 4, 0, 4, 2, 0, 1, 1, 0, 4, 1, 0, 3, 0, 3, 2, 0, 1, 4, 1, 2, 3, 0, 3, 4, 4, 0, 0, 3, 3, 2, 4, 4, 1, 3, 3, 4, 4, 1, 0, 2, 0, 1, 4, 0, 1, 4, 4, 0, 3, 0, 3, 1, 1, 3, 0, 3, 0, 4, 2, 4, 4, 3, 4, 3, 1, 2, 3, 1, 3, 0, 3, 3, 3, 1, 3, 3, 4, 3, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 3, 3, 4, 2, 1, 3, 2, 4, 1, 4, 2, 1, 3, 1, 4, 1, 1, 2, 4, 2, 0, 0, 2, 4, 3, 3, 1, 4, 3, 3, 4, 4, 3, 4, 1, 3, 1, 2, 3, 3, 1, 3, 0, 0, 4, 0, 0, 0, 4, 2, 1, 0, 2, 1, 3, 1, 1, 2, 1, 1, 2, 3, 1, 0, 0, 3, 2, 0, 1, 2, 4, 0, 1, 1, 0, 2, 2, 4, 4, 0, 2, 1, 0, 4, 4] pubkeycol1161 = [0, 0, 0, 2, 4, 3, 2, 3, 3, 2, 0, 0, 4, 2, 4, 1, 0, 2, 2, 1, 4, 0, 1, 0, 1, 3, 4, 0, 0, 4, 2, 4, 3, 2, 0, 0, 4, 0, 4, 2, 3, 3, 2, 0, 3, 3, 0, 4, 2, 4, 3, 0, 1, 3, 1, 3, 3, 4, 3, 0, 3, 3, 0, 4, 1, 0, 3, 0, 3, 4, 0, 1, 4, 0, 3, 4, 2, 4, 1, 0, 2, 1, 4, 2, 1, 0, 1, 1, 3, 1, 0, 4, 0, 0, 2, 4, 0, 2, 0, 4, 3, 3, 1, 1, 2, 0, 4, 2, 0, 3, 0, 3, 0, 0, 4, 4, 1, 1, 1, 2, 1, 0, 3, 1, 0, 2, 4, 3, 0, 0, 4, 0, 1, 4, 4, 1, 1, 1, 2, 3, 3, 0, 0, 3, 2, 3, 0, 3, 3, 1, 4, 4, 4, 3, 0, 4, 1, 1, 0, 1, 2, 0, 2, 0, 2, 3, 4, 3, 1, 2, 0, 4, 2, 3, 0, 1, 1, 2, 4, 0, 4, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 4, 2, 3, 0, 3, 2, 2, 3, 0, 4, 2, 2, 0, 3, 1, 1, 3, 4, 4, 0, 1, 3, 2, 4, 2, 3, 3, 0, 1, 3, 1, 0, 2, 3, 0, 0, 0, 4, 2, 4, 1, 1, 4, 4, 1, 1, 4, 1, 2, 0, 0, 0, 2, 2, 3, 1, 3, 2, 3, 0, 1, 3, 3, 4, 4, 2, 2, 1, 3, 1, 3, 0, 0, 1, 1, 0, 2, 0, 4, 0, 1, 1, 0, 0, 0, 1, 1, 0, 4, 3, 4, 4, 1, 0, 2, 4, 0, 0, 0, 1, 1, 4, 2, 2, 3, 2, 3, 1, 1, 4, 3, 4, 0, 0, 2, 1, 3, 1, 1, 3, 3, 1, 1, 4, 2, 1, 2, 2, 1, 1, 2, 2, 4, 2, 3, 3, 4, 2, 2, 0, 4, 0, 0, 2, 1, 1, 3, 1, 3, 4, 3, 4, 0, 0, 0, 3, 3, 3, 1, 2, 2, 0, 1, 4, 4, 4, 3, 2, 3, 0, 1, 2, 4, 0, 2, 2, 3, 4, 3, 1, 2, 1, 2, 2, 4, 0, 4, 2, 4, 0, 0, 4, 3, 3, 2, 1, 4, 2, 3, 4, 4, 1, 4, 3, 3, 3, 3, 1, 2, 4, 2, 2, 0, 1, 1, 1, 3, 1, 4, 3, 3, 2, 0, 4, 2, 2, 3, 4, 4, 2, 0, 4, 4, 4, 1, 3, 4, 3, 2, 1, 0, 0, 0, 4, 4, 0, 2, 4, 0, 1, 1, 2, 0, 0, 4, 3, 4, 0, 1, 2, 3, 2, 4, 3, 4, 3, 1, 3, 0, 2, 2, 1, 2, 0, 0, 2, 0, 4, 0, 3] pubkeycol1162 = [2, 2, 4, 4, 1, 4, 0, 4, 2, 4, 3, 3, 3, 1, 3, 3, 3, 2, 4, 2, 4, 2, 0, 3, 4, 1, 0, 2, 0, 1, 0, 4, 1, 2, 2, 1, 0, 1, 4, 1, 1, 4, 0, 4, 2, 1, 2, 0, 2, 3, 1, 3, 2, 1, 2, 4, 1, 0, 3, 1, 3, 3, 3, 2, 0, 0, 3, 1, 4, 0, 2, 2, 0, 3, 3, 4, 0, 2, 3, 2, 0, 3, 3, 1, 1, 2, 4, 0, 3, 4, 4, 4, 4, 0, 4, 4, 2, 2, 2, 2, 2, 1, 2, 0, 4, 0, 1, 2, 3, 4, 2, 0, 4, 4, 1, 4, 3, 4, 3, 2, 0, 1, 3, 4, 1, 0, 3, 4, 3, 0, 1, 4, 4, 2, 2, 4, 3, 1, 3, 2, 1, 1, 1, 3, 3, 1, 0, 0, 1, 2, 2, 3, 2, 3, 3, 0, 3, 4, 3, 0, 4, 2, 0, 4, 3, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 3, 0, 1, 3, 4, 1, 1, 1, 3, 0, 1, 4, 0, 0, 1, 1, 1, 3, 0, 2, 4, 0, 4, 2, 2, 1, 0, 3, 2, 1, 2, 2, 2, 2, 0, 4, 2, 2, 4, 4, 2, 2, 1, 3, 1, 1, 3, 3, 2, 1, 3, 1, 4, 1, 0, 2, 4, 2, 2, 3, 1, 0, 4, 0, 0, 2, 2, 2, 3, 3, 4, 2, 4, 1, 3, 3, 0, 2, 1, 2, 2, 4, 1, 0, 0, 1, 4, 3, 0, 3, 4, 3, 3, 3, 0, 1, 1, 3, 2, 2, 1, 2, 3, 2, 4, 1, 2, 1, 4, 0, 4, 2, 4, 3, 3, 0, 2, 3, 0, 2, 2, 0, 4, 0, 1, 1, 2, 2, 0, 0, 1, 3, 3, 1, 3, 2, 0, 2, 1, 3, 3, 3, 2, 1, 2, 4, 4, 4, 1, 4, 1, 3, 3, 3, 0, 2, 3, 3, 4, 3, 0, 1, 4, 1, 2, 2, 4, 0, 3, 1, 2, 3, 3, 1, 4, 2, 1, 2, 3, 3, 3, 1, 4, 1, 0, 1, 1, 4, 0, 3, 3, 0, 0, 4, 3, 0, 4, 1, 0, 3, 0, 2, 1, 1, 1, 0, 2, 3, 4, 0, 1, 3, 3, 0, 2, 1, 0, 3, 3, 3, 4, 2, 3, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 3, 2, 4, 3, 1, 3, 3, 4, 3, 1, 0, 0, 0, 4, 1, 4, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 3, 4, 1, 2, 1, 3, 3, 4, 4, 3, 4, 2, 1, 3, 1, 2, 1, 1, 3, 2, 4, 2, 4, 3, 0, 0, 4, 0, 1, 3, 4, 0, 4, 3, 0, 1, 2, 3, 4] pubkeycol1163 = [0, 2, 0, 4, 0, 3, 3, 1, 4, 3, 1, 0, 4, 0, 0, 2, 2, 3, 3, 0, 2, 0, 1, 1, 1, 3, 2, 3, 4, 1, 2, 4, 1, 2, 3, 3, 4, 0, 2, 2, 4, 3, 0, 4, 2, 3, 2, 1, 4, 1, 4, 3, 1, 3, 1, 3, 4, 2, 2, 1, 3, 1, 4, 0, 3, 1, 2, 0, 3, 3, 1, 0, 4, 1, 3, 1, 1, 3, 2, 4, 4, 0, 3, 2, 2, 1, 2, 4, 3, 0, 1, 1, 0, 0, 0, 4, 2, 3, 4, 3, 4, 3, 0, 4, 3, 3, 1, 3, 1, 3, 0, 2, 1, 3, 2, 2, 0, 1, 3, 2, 0, 4, 1, 2, 1, 2, 1, 3, 2, 0, 2, 2, 0, 4, 3, 3, 2, 0, 4, 4, 0, 2, 0, 3, 3, 3, 4, 4, 1, 3, 3, 4, 1, 0, 3, 2, 0, 1, 0, 2, 0, 3, 0, 4, 0, 4, 1, 4, 3, 4, 0, 4, 0, 1, 1, 0, 4, 4, 2, 0, 2, 4, 2, 4, 1, 0, 3, 3, 0, 1, 1, 1, 1, 4, 3, 4, 0, 1, 1, 0, 0, 0, 2, 3, 0, 2, 4, 0, 0, 4, 0, 3, 2, 1, 0, 3, 3, 1, 0, 0, 2, 4, 4, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 1, 2, 2, 0, 4, 4, 1, 3, 4, 4, 4, 3, 3, 3, 3, 1, 0, 4, 2, 3, 3, 4, 2, 4, 1, 0, 0, 1, 0, 0, 4, 1, 1, 3, 2, 1, 1, 2, 1, 4, 3, 4, 2, 2, 2, 3, 0, 3, 1, 1, 3, 2, 3, 2, 4, 1, 1, 0, 2, 3, 2, 0, 2, 4, 0, 3, 3, 4, 0, 0, 4, 2, 3, 1, 4, 1, 3, 4, 1, 0, 3, 2, 2, 1, 2, 3, 1, 0, 4, 4, 4, 4, 2, 3, 2, 0, 4, 4, 1, 1, 2, 1, 4, 1, 1, 2, 0, 2, 1, 1, 1, 0, 3, 3, 4, 1, 4, 0, 0, 2, 1, 3, 3, 3, 4, 1, 3, 1, 2, 0, 2, 4, 2, 2, 3, 3, 4, 4, 2, 3, 3, 0, 0, 1, 2, 1, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 2, 1, 4, 4, 4, 1, 3, 3, 3, 0, 1, 2, 1, 4, 1, 4, 2, 0, 2, 1, 1, 2, 1, 4, 1, 2, 1, 0, 4, 2, 3, 3, 0, 4, 2, 0, 3, 0, 1, 1, 1, 1, 2, 1, 4, 0, 2, 4, 4, 1, 2, 2, 4, 1, 4, 1, 4, 4, 4, 4, 3, 2, 2, 1, 0, 2, 3, 4, 2, 3, 1, 2, 0, 3, 0, 0, 1, 1, 2, 0, 2, 3, 2, 2, 0] pubkeycol1164 = [4, 3, 4, 2, 0, 2, 1, 3, 3, 1, 1, 0, 2, 4, 1, 3, 2, 2, 1, 4, 4, 0, 3, 3, 1, 4, 4, 3, 2, 1, 0, 0, 1, 0, 1, 4, 4, 0, 3, 3, 0, 3, 2, 2, 4, 3, 0, 0, 0, 1, 1, 4, 2, 4, 4, 3, 1, 1, 0, 4, 2, 3, 0, 4, 4, 0, 0, 2, 1, 2, 1, 2, 4, 4, 3, 4, 2, 2, 0, 2, 2, 4, 1, 2, 4, 2, 1, 0, 1, 0, 4, 3, 1, 1, 1, 1, 3, 4, 2, 2, 3, 4, 4, 1, 1, 0, 3, 3, 2, 1, 3, 0, 4, 3, 0, 1, 4, 1, 1, 3, 1, 0, 0, 0, 3, 4, 0, 1, 3, 3, 2, 0, 1, 1, 2, 3, 1, 3, 1, 4, 2, 3, 4, 0, 1, 0, 3, 0, 1, 4, 1, 0, 1, 2, 3, 1, 1, 0, 3, 0, 3, 4, 3, 2, 0, 4, 0, 2, 1, 4, 3, 1, 1, 2, 2, 2, 0, 4, 2, 4, 2, 2, 3, 3, 3, 4, 4, 1, 1, 3, 1, 3, 0, 2, 2, 1, 2, 0, 3, 4, 4, 0, 3, 2, 2, 2, 2, 4, 2, 4, 4, 1, 2, 4, 1, 2, 3, 0, 2, 1, 3, 1, 0, 1, 3, 0, 2, 4, 0, 4, 1, 0, 3, 4, 1, 1, 3, 2, 3, 0, 0, 1, 3, 1, 1, 1, 4, 3, 4, 0, 0, 3, 3, 1, 1, 0, 1, 3, 2, 4, 1, 1, 1, 1, 1, 2, 2, 1, 0, 3, 4, 4, 0, 3, 2, 4, 2, 1, 4, 3, 1, 0, 4, 0, 4, 2, 1, 0, 4, 2, 3, 2, 3, 4, 0, 0, 0, 3, 0, 0, 1, 2, 1, 0, 1, 3, 4, 2, 2, 4, 1, 2, 1, 1, 1, 0, 3, 0, 4, 0, 2, 3, 2, 0, 2, 2, 4, 0, 0, 1, 2, 1, 1, 0, 4, 4, 0, 4, 1, 3, 3, 1, 0, 0, 4, 3, 4, 4, 4, 1, 4, 3, 3, 4, 4, 3, 0, 3, 2, 4, 3, 4, 2, 3, 4, 1, 3, 0, 1, 0, 1, 3, 1, 0, 2, 3, 4, 2, 3, 4, 0, 3, 2, 2, 4, 2, 4, 2, 4, 1, 3, 1, 4, 3, 3, 4, 2, 2, 1, 3, 2, 0, 4, 1, 2, 4, 0, 0, 4, 0, 2, 2, 0, 4, 2, 4, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 4, 4, 1, 0, 3, 0, 3, 3, 1, 0, 0, 4, 1, 1, 0, 4, 4, 4, 1, 0, 0, 3, 4, 2, 4, 3, 4, 2, 4, 4, 3, 4, 0, 4, 4, 4, 4, 4, 1, 1, 3, 1, 3, 3, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0] pubkeycol1165 = [0, 0, 3, 4, 3, 0, 0, 3, 3, 1, 2, 1, 0, 1, 1, 4, 2, 2, 3, 2, 2, 2, 0, 2, 3, 4, 2, 3, 2, 1, 3, 2, 0, 4, 0, 4, 4, 3, 0, 0, 4, 4, 2, 0, 1, 1, 0, 3, 1, 2, 4, 0, 4, 1, 3, 0, 1, 2, 4, 3, 4, 1, 2, 2, 3, 4, 2, 3, 1, 2, 2, 4, 2, 1, 1, 3, 4, 2, 0, 4, 4, 2, 4, 3, 4, 4, 3, 1, 2, 3, 3, 3, 1, 1, 4, 3, 3, 3, 2, 0, 2, 3, 1, 4, 3, 4, 2, 3, 3, 4, 3, 4, 0, 2, 2, 1, 2, 1, 4, 4, 0, 4, 0, 4, 2, 1, 0, 3, 2, 3, 2, 3, 1, 3, 4, 2, 2, 3, 4, 0, 1, 0, 3, 2, 2, 4, 0, 2, 2, 4, 4, 2, 1, 1, 3, 4, 3, 4, 3, 0, 0, 3, 4, 2, 0, 2, 3, 3, 0, 3, 4, 3, 4, 2, 2, 3, 3, 4, 1, 2, 0, 4, 3, 1, 3, 4, 4, 1, 1, 3, 2, 1, 4, 4, 4, 0, 3, 4, 2, 4, 3, 0, 3, 0, 0, 3, 0, 0, 1, 0, 2, 3, 1, 1, 1, 4, 1, 4, 3, 4, 2, 0, 2, 2, 4, 2, 1, 2, 3, 3, 2, 2, 3, 4, 3, 0, 3, 0, 4, 4, 0, 1, 0, 2, 3, 4, 3, 0, 4, 2, 2, 2, 3, 0, 4, 4, 3, 2, 0, 1, 3, 2, 1, 0, 1, 4, 0, 3, 3, 3, 4, 2, 3, 3, 4, 3, 0, 0, 4, 2, 4, 4, 0, 0, 3, 0, 2, 0, 0, 3, 2, 3, 2, 2, 3, 1, 3, 0, 4, 2, 4, 1, 1, 4, 2, 2, 0, 2, 4, 2, 3, 0, 4, 1, 3, 4, 0, 0, 1, 0, 3, 1, 0, 0, 0, 0, 1, 2, 1, 0, 4, 1, 3, 4, 1, 0, 3, 1, 0, 0, 0, 4, 2, 1, 4, 1, 4, 2, 0, 3, 0, 3, 2, 4, 0, 3, 3, 0, 1, 1, 0, 1, 1, 1, 4, 0, 1, 1, 4, 0, 4, 3, 4, 3, 4, 4, 4, 4, 0, 4, 4, 4, 2, 4, 3, 2, 1, 4, 1, 0, 1, 4, 3, 2, 3, 2, 0, 2, 4, 3, 4, 0, 0, 3, 4, 0, 3, 1, 1, 1, 1, 3, 1, 0, 2, 4, 1, 2, 1, 1, 0, 2, 2, 3, 3, 2, 1, 0, 3, 4, 1, 3, 0, 2, 1, 3, 3, 0, 3, 2, 3, 4, 2, 0, 4, 1, 2, 2, 3, 1, 3, 1, 1, 2, 3, 2, 3, 4, 0, 1, 3, 0, 2, 4, 2, 3, 1, 1, 3, 4, 2, 3, 1, 3, 3, 3, 0, 3, 4, 1] pubkeycol1166 = [4, 3, 3, 1, 2, 2, 1, 4, 1, 2, 2, 2, 3, 2, 4, 3, 0, 2, 0, 3, 4, 0, 4, 4, 3, 2, 3, 2, 3, 0, 1, 1, 4, 4, 1, 2, 2, 2, 0, 3, 1, 0, 0, 0, 0, 1, 4, 2, 0, 0, 3, 2, 2, 2, 1, 4, 2, 1, 1, 1, 0, 0, 3, 0, 4, 1, 0, 1, 3, 2, 0, 3, 0, 0, 2, 4, 4, 0, 4, 1, 2, 1, 0, 1, 4, 0, 2, 1, 1, 1, 1, 4, 2, 3, 3, 2, 3, 2, 2, 1, 0, 0, 4, 4, 0, 4, 1, 2, 1, 2, 4, 1, 4, 0, 4, 2, 2, 1, 0, 3, 4, 3, 3, 2, 2, 3, 2, 0, 4, 1, 2, 0, 2, 4, 1, 0, 4, 3, 3, 1, 2, 3, 3, 1, 1, 0, 2, 3, 3, 4, 4, 2, 4, 3, 2, 4, 0, 3, 3, 3, 2, 2, 1, 3, 1, 2, 4, 4, 4, 4, 0, 4, 0, 4, 3, 1, 1, 0, 4, 0, 1, 0, 1, 4, 1, 4, 4, 2, 0, 3, 1, 2, 3, 4, 2, 2, 2, 4, 4, 4, 3, 1, 0, 0, 4, 2, 4, 2, 3, 3, 2, 2, 1, 1, 2, 1, 4, 4, 3, 3, 3, 2, 1, 2, 0, 2, 1, 4, 0, 3, 2, 1, 1, 4, 2, 4, 4, 4, 0, 1, 0, 4, 4, 1, 4, 2, 1, 0, 4, 2, 0, 0, 3, 3, 1, 4, 2, 0, 2, 4, 4, 2, 4, 1, 1, 1, 3, 4, 3, 0, 0, 2, 4, 1, 3, 3, 3, 4, 0, 4, 4, 2, 2, 0, 0, 0, 3, 1, 4, 1, 0, 0, 4, 1, 4, 1, 0, 3, 3, 4, 1, 2, 1, 0, 4, 1, 4, 1, 4, 2, 1, 2, 3, 0, 0, 0, 3, 2, 0, 3, 2, 2, 2, 3, 3, 3, 0, 1, 0, 3, 0, 2, 1, 2, 1, 1, 3, 3, 2, 1, 1, 0, 1, 0, 3, 4, 4, 0, 2, 2, 1, 2, 1, 1, 2, 3, 1, 3, 2, 0, 1, 4, 1, 4, 1, 2, 4, 2, 1, 1, 4, 4, 2, 1, 3, 4, 1, 2, 4, 1, 2, 1, 3, 1, 3, 4, 0, 3, 4, 4, 3, 1, 4, 3, 0, 4, 0, 0, 3, 2, 0, 1, 0, 3, 1, 4, 1, 2, 0, 3, 0, 1, 4, 1, 4, 3, 3, 3, 2, 4, 3, 1, 4, 0, 2, 0, 3, 1, 4, 0, 4, 3, 3, 4, 3, 3, 2, 3, 4, 0, 1, 0, 2, 0, 1, 3, 0, 3, 1, 1, 4, 1, 0, 1, 0, 2, 1, 3, 1, 2, 2, 3, 0, 2, 1, 4, 2, 1, 1, 1, 2, 3, 1, 0, 2, 3, 4, 2, 2, 3] pubkeycol1167 = [2, 1, 4, 1, 4, 3, 0, 3, 2, 0, 2, 2, 3, 2, 0, 1, 1, 0, 4, 0, 0, 3, 3, 2, 1, 0, 1, 4, 3, 4, 3, 0, 2, 0, 4, 1, 0, 2, 1, 3, 3, 0, 3, 0, 0, 0, 3, 1, 1, 0, 1, 3, 3, 1, 1, 0, 0, 1, 0, 2, 0, 4, 4, 1, 3, 1, 4, 4, 2, 0, 0, 1, 2, 2, 4, 0, 3, 4, 2, 3, 2, 1, 2, 2, 4, 1, 3, 2, 3, 1, 4, 3, 0, 0, 4, 3, 0, 0, 0, 2, 1, 0, 2, 0, 0, 3, 0, 1, 1, 2, 4, 3, 0, 2, 0, 3, 0, 2, 4, 1, 1, 4, 1, 4, 0, 2, 2, 3, 4, 0, 1, 4, 1, 1, 0, 2, 4, 3, 1, 3, 1, 3, 2, 1, 3, 4, 0, 2, 2, 0, 3, 0, 0, 2, 1, 4, 0, 1, 3, 4, 3, 1, 2, 2, 2, 4, 3, 3, 2, 1, 2, 2, 4, 3, 2, 4, 2, 2, 0, 3, 3, 3, 2, 0, 1, 0, 4, 0, 0, 2, 2, 2, 3, 1, 1, 4, 1, 2, 4, 2, 1, 1, 1, 4, 4, 1, 3, 0, 3, 3, 2, 0, 2, 1, 3, 4, 0, 3, 3, 2, 2, 4, 0, 4, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 3, 1, 4, 4, 0, 2, 4, 2, 3, 2, 0, 4, 1, 1, 1, 0, 0, 1, 2, 4, 2, 2, 2, 3, 3, 3, 4, 3, 1, 0, 1, 3, 0, 1, 0, 1, 2, 3, 1, 0, 2, 3, 4, 1, 4, 0, 2, 2, 4, 2, 0, 1, 2, 4, 4, 2, 3, 4, 0, 3, 1, 0, 0, 0, 3, 3, 3, 1, 2, 2, 2, 4, 4, 0, 3, 4, 4, 0, 3, 0, 2, 3, 3, 3, 4, 1, 1, 3, 2, 4, 4, 2, 3, 3, 2, 0, 3, 2, 2, 2, 1, 4, 0, 1, 0, 0, 1, 2, 1, 4, 3, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 4, 1, 3, 1, 3, 2, 4, 1, 0, 0, 1, 2, 1, 4, 0, 4, 0, 4, 2, 1, 0, 2, 2, 1, 4, 0, 1, 4, 3, 4, 0, 0, 4, 3, 4, 3, 2, 2, 1, 1, 1, 4, 3, 1, 4, 1, 1, 4, 2, 2, 1, 4, 3, 1, 4, 4, 0, 4, 0, 0, 2, 1, 0, 0, 2, 4, 3, 4, 4, 2, 0, 4, 3, 4, 4, 1, 3, 4, 1, 0, 4, 4, 3, 4, 0, 3, 2, 0, 1, 3, 2, 4, 0, 3, 0, 1, 1, 1, 3, 2, 0, 2, 4, 0, 3, 3, 4, 0, 4, 1, 2, 3, 4, 3, 1, 4, 3, 1, 0] pubkeycol1168 = [2, 3, 3, 3, 1, 1, 4, 0, 1, 0, 2, 0, 0, 2, 3, 4, 4, 4, 3, 2, 1, 3, 4, 0, 1, 3, 2, 3, 3, 0, 2, 4, 0, 3, 0, 3, 3, 4, 1, 4, 2, 0, 3, 3, 2, 3, 1, 4, 1, 0, 0, 3, 0, 3, 3, 2, 0, 2, 0, 0, 0, 0, 2, 0, 3, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 4, 4, 2, 4, 0, 1, 0, 3, 1, 0, 0, 4, 3, 1, 1, 0, 3, 4, 3, 4, 1, 0, 3, 1, 2, 2, 4, 2, 3, 0, 0, 2, 4, 2, 4, 2, 2, 2, 0, 2, 1, 2, 0, 2, 4, 1, 4, 3, 1, 2, 3, 3, 2, 2, 4, 4, 4, 0, 4, 2, 1, 4, 4, 2, 2, 3, 4, 2, 0, 4, 3, 2, 2, 0, 4, 4, 3, 2, 3, 0, 3, 1, 0, 3, 2, 4, 4, 4, 3, 3, 3, 1, 2, 3, 1, 1, 0, 4, 3, 2, 1, 2, 2, 2, 1, 2, 2, 4, 2, 1, 4, 4, 1, 1, 4, 1, 3, 0, 0, 4, 0, 3, 3, 2, 3, 1, 4, 0, 3, 0, 4, 3, 3, 2, 2, 0, 2, 0, 0, 1, 4, 4, 1, 2, 2, 3, 4, 1, 0, 0, 3, 0, 3, 2, 1, 2, 3, 2, 2, 3, 1, 0, 2, 1, 3, 2, 4, 4, 4, 4, 2, 2, 1, 1, 4, 4, 2, 2, 1, 2, 4, 2, 3, 2, 1, 4, 1, 0, 4, 0, 1, 0, 1, 0, 3, 2, 3, 3, 4, 2, 1, 3, 1, 0, 4, 0, 3, 0, 4, 2, 1, 1, 2, 2, 4, 0, 2, 3, 0, 4, 2, 3, 0, 1, 0, 3, 1, 0, 4, 2, 1, 1, 4, 2, 1, 0, 0, 2, 2, 0, 0, 4, 1, 2, 4, 4, 2, 3, 2, 3, 2, 3, 0, 2, 0, 3, 3, 1, 3, 2, 2, 3, 1, 0, 2, 1, 1, 1, 0, 3, 4, 1, 4, 3, 2, 0, 0, 2, 1, 4, 1, 3, 1, 0, 4, 2, 3, 3, 3, 0, 3, 1, 4, 1, 1, 2, 4, 2, 1, 1, 3, 2, 1, 2, 0, 2, 2, 3, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 4, 3, 0, 2, 2, 3, 4, 1, 4, 4, 0, 2, 4, 3, 3, 4, 4, 4, 1, 2, 0, 1, 3, 4, 4, 3, 1, 2, 1, 1, 4, 0, 1, 3, 3, 3, 2, 3, 0, 2, 4, 1, 0, 0, 2, 0, 1, 2, 0, 1, 4, 1, 3, 4, 4, 3, 0, 1, 2, 1, 4, 1, 2, 3, 0, 3, 3, 2, 2, 1, 2, 1, 4, 3, 3, 1, 1, 2, 1, 3, 0, 3, 1, 2] pubkeycol1169 = [4, 0, 0, 3, 4, 3, 3, 2, 3, 0, 0, 1, 3, 3, 2, 0, 1, 2, 2, 0, 4, 4, 1, 4, 2, 0, 2, 4, 4, 1, 2, 3, 4, 3, 4, 0, 2, 2, 3, 1, 2, 0, 1, 2, 0, 1, 1, 3, 3, 4, 1, 4, 1, 0, 4, 3, 4, 4, 4, 1, 2, 0, 0, 3, 3, 3, 1, 2, 1, 4, 4, 2, 2, 1, 0, 3, 4, 3, 3, 4, 3, 0, 0, 2, 3, 1, 1, 3, 0, 0, 2, 3, 1, 1, 1, 2, 2, 2, 3, 3, 4, 3, 0, 4, 3, 2, 3, 4, 4, 2, 4, 2, 0, 1, 2, 0, 0, 1, 3, 1, 4, 0, 1, 2, 4, 0, 3, 3, 0, 3, 4, 4, 3, 1, 4, 3, 4, 2, 1, 4, 3, 2, 1, 4, 2, 0, 0, 3, 2, 3, 4, 0, 1, 4, 3, 0, 1, 4, 3, 4, 4, 3, 3, 4, 0, 1, 0, 4, 2, 2, 2, 3, 3, 0, 3, 3, 4, 0, 0, 1, 2, 2, 0, 0, 3, 3, 0, 3, 1, 3, 4, 1, 4, 0, 0, 4, 0, 4, 2, 1, 1, 4, 2, 4, 2, 4, 2, 3, 2, 1, 0, 2, 1, 2, 3, 4, 2, 0, 2, 2, 0, 0, 4, 2, 0, 2, 3, 2, 1, 2, 2, 0, 0, 2, 1, 2, 4, 4, 2, 0, 2, 1, 2, 3, 3, 2, 2, 0, 3, 4, 1, 0, 4, 0, 3, 0, 0, 0, 0, 4, 1, 3, 2, 1, 1, 0, 3, 2, 0, 3, 0, 1, 3, 3, 0, 0, 0, 2, 0, 1, 3, 2, 3, 4, 3, 0, 2, 2, 3, 2, 1, 0, 0, 3, 0, 0, 2, 4, 1, 4, 1, 4, 2, 4, 3, 0, 0, 1, 2, 2, 2, 4, 1, 3, 3, 4, 3, 2, 1, 4, 2, 0, 0, 0, 3, 4, 0, 1, 3, 1, 3, 2, 4, 2, 0, 4, 0, 1, 4, 2, 0, 2, 1, 3, 0, 1, 0, 4, 2, 1, 2, 1, 2, 1, 3, 1, 4, 2, 1, 2, 3, 1, 4, 0, 4, 3, 1, 4, 2, 1, 1, 1, 2, 3, 3, 1, 0, 3, 0, 3, 1, 3, 0, 4, 2, 0, 4, 4, 2, 0, 4, 1, 2, 2, 0, 1, 0, 1, 1, 3, 4, 3, 3, 0, 3, 0, 1, 3, 3, 2, 1, 3, 3, 3, 0, 3, 2, 4, 0, 0, 4, 0, 4, 0, 0, 3, 0, 4, 2, 1, 1, 1, 3, 2, 4, 2, 0, 0, 4, 4, 0, 3, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 4, 0, 3, 2, 3, 3, 2, 4, 4, 0, 3, 1, 2, 4, 3, 1, 2, 4, 3, 0, 3, 0, 4, 0, 0, 3, 1, 0] pubkeycol1170 = [3, 4, 1, 2, 3, 0, 3, 0, 0, 0, 2, 2, 0, 1, 0, 2, 3, 1, 4, 0, 0, 0, 2, 1, 2, 3, 1, 4, 3, 3, 4, 3, 3, 3, 0, 4, 0, 4, 3, 1, 1, 4, 0, 1, 0, 0, 2, 4, 1, 3, 0, 4, 1, 0, 3, 3, 3, 4, 2, 1, 0, 1, 1, 0, 3, 1, 1, 4, 3, 4, 1, 3, 3, 3, 4, 1, 1, 2, 2, 4, 4, 2, 2, 4, 3, 0, 1, 4, 4, 4, 2, 4, 2, 4, 0, 4, 2, 4, 0, 2, 4, 1, 1, 4, 1, 2, 0, 3, 4, 1, 0, 4, 3, 1, 0, 4, 4, 4, 3, 2, 3, 2, 2, 1, 1, 2, 0, 4, 4, 2, 2, 1, 4, 3, 2, 4, 3, 0, 0, 3, 4, 3, 2, 0, 4, 2, 0, 4, 1, 4, 0, 4, 2, 4, 1, 4, 2, 4, 1, 4, 1, 0, 4, 1, 1, 3, 4, 0, 3, 3, 3, 2, 3, 2, 3, 0, 1, 2, 4, 2, 4, 0, 4, 1, 4, 0, 4, 3, 1, 0, 2, 2, 4, 0, 0, 1, 3, 1, 4, 3, 3, 4, 1, 0, 2, 4, 2, 4, 3, 0, 4, 4, 1, 1, 4, 0, 3, 3, 2, 2, 4, 2, 1, 1, 3, 1, 4, 3, 1, 1, 3, 1, 1, 1, 4, 4, 0, 4, 2, 2, 4, 3, 0, 1, 3, 2, 1, 0, 3, 3, 3, 2, 4, 2, 2, 4, 0, 2, 0, 3, 1, 1, 2, 0, 4, 0, 2, 3, 1, 2, 4, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 4, 4, 3, 1, 1, 0, 1, 2, 4, 4, 0, 1, 1, 2, 1, 0, 0, 2, 1, 4, 2, 4, 3, 2, 3, 4, 4, 3, 0, 4, 4, 4, 4, 3, 3, 3, 1, 3, 4, 1, 2, 0, 3, 3, 1, 1, 3, 2, 4, 4, 1, 2, 2, 1, 4, 2, 3, 3, 2, 1, 4, 4, 3, 3, 3, 3, 1, 4, 2, 4, 3, 4, 1, 1, 4, 3, 0, 0, 4, 3, 2, 1, 0, 3, 2, 4, 3, 0, 1, 3, 2, 0, 1, 4, 2, 0, 3, 2, 3, 4, 4, 3, 2, 1, 2, 1, 0, 3, 2, 1, 2, 3, 1, 0, 0, 3, 2, 0, 0, 2, 3, 2, 1, 3, 3, 1, 3, 1, 2, 0, 0, 2, 3, 3, 1, 4, 1, 1, 4, 4, 2, 1, 0, 3, 4, 1, 3, 3, 4, 4, 1, 4, 1, 0, 2, 0, 3, 2, 0, 3, 4, 3, 0, 0, 4, 2, 4, 0, 4, 0, 0, 2, 3, 2, 3, 4, 4, 3, 1, 4, 1, 3, 1, 0, 0, 3, 4, 3, 0, 0, 3, 4, 4, 0, 0, 2, 2, 4] pubkeycol1171 = [2, 1, 2, 0, 2, 0, 0, 2, 4, 1, 1, 2, 4, 4, 4, 3, 0, 0, 3, 0, 4, 1, 2, 1, 0, 0, 0, 3, 3, 1, 0, 1, 4, 0, 2, 0, 2, 1, 1, 4, 4, 2, 0, 3, 2, 4, 4, 4, 2, 1, 1, 1, 2, 4, 2, 3, 0, 0, 2, 0, 3, 4, 1, 3, 3, 0, 2, 4, 2, 2, 0, 3, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 4, 2, 1, 2, 3, 3, 2, 0, 3, 3, 1, 1, 3, 1, 4, 1, 0, 4, 1, 3, 2, 2, 2, 0, 2, 4, 2, 4, 1, 4, 1, 4, 0, 4, 2, 1, 3, 1, 3, 2, 2, 0, 1, 2, 2, 4, 0, 0, 4, 1, 4, 1, 4, 2, 1, 1, 3, 1, 2, 3, 3, 3, 3, 4, 4, 2, 2, 1, 2, 3, 3, 4, 1, 1, 4, 4, 3, 0, 0, 1, 3, 3, 0, 3, 4, 4, 2, 0, 1, 1, 4, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 3, 4, 2, 4, 3, 2, 1, 2, 1, 4, 3, 1, 3, 2, 1, 1, 2, 4, 2, 1, 2, 2, 3, 2, 0, 3, 3, 1, 0, 1, 3, 4, 3, 4, 3, 0, 2, 4, 1, 3, 2, 2, 4, 2, 1, 0, 1, 2, 2, 0, 3, 4, 0, 2, 4, 2, 1, 2, 2, 2, 1, 0, 2, 4, 3, 2, 0, 2, 0, 2, 4, 1, 0, 0, 0, 1, 1, 0, 0, 3, 0, 3, 0, 4, 2, 2, 2, 0, 3, 1, 4, 4, 3, 2, 2, 4, 3, 4, 4, 2, 2, 4, 2, 3, 4, 1, 4, 0, 4, 3, 1, 3, 4, 3, 4, 2, 1, 4, 4, 2, 4, 0, 3, 3, 4, 3, 0, 1, 0, 1, 1, 1, 1, 4, 0, 2, 3, 1, 1, 3, 4, 0, 1, 3, 4, 4, 0, 0, 3, 2, 1, 2, 1, 0, 4, 0, 2, 2, 1, 4, 2, 4, 4, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 3, 3, 1, 0, 1, 2, 1, 4, 2, 0, 2, 3, 3, 4, 3, 3, 3, 2, 2, 1, 4, 0, 3, 1, 3, 3, 3, 2, 2, 4, 0, 1, 3, 0, 1, 4, 4, 4, 2, 4, 1, 1, 4, 4, 0, 3, 2, 4, 3, 1, 2, 3, 1, 2, 3, 3, 0, 1, 4, 2, 3, 1, 3, 4, 2, 2, 4, 1, 0, 2, 1, 3, 3, 0, 2, 2, 2, 1, 3, 4, 0, 4, 0, 3, 4, 0, 0, 4, 3, 0, 3, 3, 2, 0, 0, 3, 0, 3, 0, 4, 1, 0, 3, 1, 1, 1, 0, 4, 0, 3, 1, 0, 3, 0, 1, 3, 0, 1, 4, 1, 4] pubkeycol1172 = [4, 1, 1, 3, 0, 2, 0, 4, 3, 3, 3, 1, 1, 4, 2, 2, 4, 2, 2, 1, 3, 2, 4, 1, 4, 3, 0, 3, 4, 2, 4, 0, 2, 2, 2, 3, 2, 1, 3, 4, 4, 4, 4, 3, 4, 2, 2, 1, 0, 4, 3, 3, 3, 3, 0, 3, 4, 2, 3, 3, 1, 2, 0, 2, 3, 2, 2, 0, 0, 3, 2, 4, 4, 2, 2, 1, 3, 1, 2, 0, 0, 1, 2, 4, 1, 2, 0, 1, 1, 4, 3, 0, 1, 3, 4, 0, 0, 4, 4, 3, 0, 2, 1, 1, 4, 1, 2, 2, 3, 3, 1, 3, 3, 3, 4, 2, 2, 2, 3, 3, 4, 4, 4, 4, 0, 3, 0, 0, 1, 0, 2, 2, 3, 3, 4, 0, 3, 4, 1, 4, 4, 4, 0, 1, 4, 2, 2, 2, 0, 0, 3, 4, 2, 2, 2, 0, 3, 3, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 3, 3, 3, 2, 4, 1, 2, 4, 3, 1, 0, 1, 3, 2, 3, 3, 0, 1, 4, 2, 0, 2, 3, 1, 1, 1, 0, 2, 2, 2, 2, 3, 0, 3, 2, 0, 0, 0, 4, 2, 4, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 0, 3, 0, 2, 1, 2, 1, 3, 3, 1, 4, 1, 4, 0, 2, 3, 1, 0, 0, 2, 1, 4, 1, 3, 1, 1, 0, 4, 0, 2, 2, 4, 0, 3, 4, 0, 0, 0, 3, 3, 1, 2, 2, 2, 3, 1, 1, 0, 3, 3, 2, 2, 0, 4, 4, 3, 0, 2, 1, 1, 2, 3, 0, 0, 2, 1, 3, 1, 2, 1, 0, 4, 2, 2, 0, 4, 2, 2, 3, 3, 4, 0, 0, 3, 2, 1, 0, 4, 4, 1, 4, 2, 2, 3, 1, 3, 2, 4, 0, 1, 2, 0, 2, 0, 4, 1, 1, 4, 3, 3, 4, 2, 0, 4, 0, 3, 4, 1, 1, 4, 3, 4, 0, 1, 0, 2, 2, 0, 3, 2, 0, 1, 3, 4, 1, 1, 2, 4, 2, 0, 1, 2, 0, 2, 1, 4, 1, 2, 0, 1, 2, 4, 1, 3, 1, 0, 3, 0, 2, 1, 0, 3, 0, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 4, 0, 3, 0, 0, 1, 0, 0, 1, 1, 4, 1, 4, 2, 3, 0, 0, 0, 0, 1, 4, 1, 2, 4, 1, 1, 3, 2, 3, 1, 4, 0, 3, 1, 2, 3, 3, 1, 4, 2, 1, 3, 3, 2, 2, 0, 2, 4, 1, 1, 2, 3, 4, 0, 1, 4, 3, 0, 1, 1, 4, 1, 4, 0, 3, 2, 0, 2, 2, 1, 3, 4, 4, 1, 4, 4, 1, 3, 3, 2, 3, 2, 0, 1, 3, 2, 0] pubkeycol1173 = [4, 2, 2, 4, 3, 4, 2, 4, 1, 1, 1, 3, 1, 0, 4, 4, 2, 4, 4, 0, 4, 1, 4, 2, 0, 3, 4, 3, 1, 0, 1, 0, 0, 2, 2, 3, 4, 4, 0, 3, 2, 1, 0, 1, 0, 4, 1, 2, 0, 0, 1, 2, 4, 2, 3, 2, 2, 2, 2, 0, 0, 3, 4, 1, 0, 0, 3, 1, 3, 2, 3, 2, 3, 3, 2, 0, 1, 2, 4, 0, 4, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 4, 2, 3, 4, 0, 4, 2, 4, 4, 4, 4, 3, 3, 1, 2, 1, 3, 0, 0, 0, 3, 2, 0, 3, 4, 4, 3, 4, 4, 0, 2, 3, 3, 3, 4, 0, 1, 3, 0, 4, 3, 4, 1, 3, 4, 4, 1, 1, 4, 3, 4, 0, 3, 3, 0, 1, 1, 3, 0, 4, 4, 3, 2, 1, 2, 3, 1, 1, 4, 3, 3, 2, 3, 0, 1, 2, 0, 0, 4, 3, 2, 4, 3, 3, 2, 1, 1, 4, 1, 3, 4, 2, 2, 0, 4, 4, 2, 4, 1, 1, 0, 4, 0, 1, 0, 0, 3, 4, 0, 1, 0, 4, 1, 0, 3, 4, 2, 2, 4, 3, 0, 0, 4, 4, 1, 3, 3, 4, 0, 2, 2, 2, 1, 0, 3, 0, 4, 4, 1, 2, 0, 1, 2, 0, 0, 4, 1, 0, 0, 2, 2, 4, 2, 4, 3, 1, 4, 4, 4, 2, 0, 2, 4, 2, 0, 3, 2, 3, 3, 0, 2, 1, 3, 1, 3, 3, 1, 2, 2, 2, 0, 2, 2, 3, 0, 0, 3, 1, 1, 4, 3, 0, 4, 2, 2, 2, 2, 3, 4, 1, 3, 0, 0, 4, 3, 1, 0, 0, 1, 0, 1, 2, 4, 1, 2, 3, 0, 4, 0, 3, 2, 0, 2, 0, 4, 4, 0, 3, 1, 4, 4, 3, 3, 3, 4, 2, 0, 1, 2, 2, 3, 0, 3, 4, 0, 3, 1, 1, 2, 2, 4, 1, 1, 2, 4, 3, 4, 2, 3, 4, 3, 3, 0, 2, 1, 3, 0, 0, 1, 0, 1, 4, 0, 4, 0, 3, 0, 3, 2, 4, 3, 0, 4, 3, 2, 1, 3, 2, 1, 4, 0, 3, 1, 1, 3, 1, 2, 4, 0, 1, 2, 4, 3, 2, 0, 4, 4, 4, 4, 0, 2, 0, 1, 4, 4, 2, 0, 0, 3, 2, 0, 4, 4, 1, 3, 0, 0, 1, 2, 1, 0, 2, 2, 4, 4, 1, 1, 0, 0, 1, 2, 1, 4, 4, 1, 4, 3, 2, 3, 4, 3, 2, 0, 1, 2, 2, 0, 3, 1, 3, 4, 2, 0, 1, 0, 3, 4, 0, 2, 3, 1, 2, 4, 0, 2, 3, 3, 2, 1, 4, 0, 1, 2, 1, 0, 0, 3, 4, 3] pubkeycol1174 = [0, 0, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 3, 4, 2, 1, 1, 3, 0, 2, 2, 1, 4, 2, 1, 4, 1, 2, 3, 3, 0, 1, 1, 3, 3, 0, 4, 0, 3, 3, 1, 3, 0, 2, 3, 3, 0, 0, 4, 1, 2, 1, 3, 0, 2, 4, 2, 4, 1, 0, 1, 0, 0, 1, 2, 1, 4, 1, 3, 0, 1, 2, 3, 3, 1, 4, 4, 4, 4, 4, 4, 2, 2, 0, 3, 1, 1, 1, 4, 1, 1, 0, 1, 1, 2, 0, 3, 4, 1, 0, 3, 0, 0, 0, 0, 2, 3, 1, 2, 3, 0, 2, 1, 4, 1, 3, 0, 2, 2, 0, 2, 4, 0, 0, 2, 1, 0, 2, 2, 1, 4, 1, 1, 4, 1, 3, 4, 0, 0, 4, 0, 3, 1, 3, 2, 4, 0, 4, 4, 4, 0, 4, 3, 3, 3, 3, 1, 0, 1, 2, 1, 0, 0, 4, 3, 3, 2, 1, 1, 4, 0, 0, 1, 0, 0, 1, 1, 2, 4, 2, 1, 0, 3, 2, 2, 0, 2, 2, 4, 3, 1, 4, 0, 0, 1, 2, 0, 3, 0, 2, 0, 1, 2, 3, 0, 2, 4, 1, 4, 3, 1, 3, 2, 1, 3, 4, 1, 0, 2, 4, 3, 2, 2, 3, 0, 2, 4, 1, 2, 3, 3, 3, 3, 3, 2, 1, 0, 2, 0, 2, 4, 2, 3, 0, 3, 4, 3, 4, 3, 1, 0, 4, 0, 1, 4, 0, 1, 1, 4, 1, 0, 0, 1, 4, 1, 0, 4, 2, 4, 2, 3, 3, 3, 2, 0, 0, 1, 1, 1, 3, 4, 2, 4, 2, 0, 3, 3, 3, 3, 0, 1, 2, 0, 4, 2, 0, 1, 1, 3, 3, 4, 2, 4, 0, 1, 2, 1, 0, 1, 3, 4, 1, 3, 4, 4, 0, 2, 0, 3, 2, 4, 1, 4, 0, 0, 0, 2, 0, 4, 2, 3, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 3, 0, 4, 4, 2, 4, 0, 2, 4, 3, 3, 3, 4, 3, 1, 0, 3, 2, 4, 0, 1, 4, 2, 1, 3, 3, 4, 4, 2, 0, 0, 3, 3, 0, 3, 4, 4, 4, 1, 2, 0, 0, 1, 0, 1, 2, 0, 4, 1, 2, 3, 1, 1, 1, 2, 2, 0, 4, 4, 0, 0, 2, 4, 3, 0, 2, 2, 0, 3, 0, 1, 0, 0, 4, 3, 0, 3, 0, 1, 1, 1, 3, 2, 2, 0, 1, 3, 0, 4, 1, 3, 0, 0, 0, 4, 0, 3, 0, 1, 2, 0, 2, 3, 0, 0, 2, 4, 3, 0, 3, 4, 4, 0, 2, 2, 0, 2, 2, 2, 0, 4, 0, 2, 4, 0, 3, 1, 3, 0, 2, 3, 0, 4, 2, 4, 1] pubkeycol1175 = [3, 4, 1, 4, 0, 3, 0, 1, 1, 4, 0, 1, 0, 1, 3, 1, 4, 0, 2, 0, 4, 0, 4, 0, 4, 3, 4, 1, 0, 4, 0, 0, 4, 1, 3, 4, 3, 0, 1, 2, 3, 3, 0, 2, 2, 1, 1, 1, 4, 1, 1, 0, 1, 3, 0, 0, 3, 0, 1, 4, 4, 1, 0, 0, 4, 0, 0, 2, 2, 4, 4, 1, 1, 0, 3, 1, 3, 2, 0, 0, 0, 0, 4, 1, 2, 3, 2, 0, 4, 3, 1, 0, 3, 1, 1, 0, 3, 2, 0, 2, 2, 2, 4, 1, 1, 1, 0, 3, 2, 3, 4, 3, 4, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 3, 4, 4, 3, 2, 3, 3, 4, 2, 4, 2, 1, 2, 1, 0, 0, 2, 2, 4, 0, 0, 0, 1, 1, 1, 4, 1, 4, 3, 1, 4, 0, 0, 1, 0, 0, 0, 4, 1, 1, 2, 3, 4, 3, 0, 0, 4, 4, 1, 4, 3, 4, 1, 0, 1, 3, 0, 1, 1, 3, 3, 1, 3, 1, 1, 4, 2, 1, 4, 4, 2, 1, 4, 3, 2, 0, 3, 1, 0, 3, 0, 0, 2, 1, 4, 4, 0, 4, 1, 4, 3, 4, 2, 4, 2, 2, 0, 3, 1, 2, 0, 3, 1, 0, 3, 0, 3, 4, 2, 3, 2, 4, 0, 2, 1, 3, 1, 2, 3, 2, 0, 0, 3, 2, 0, 3, 0, 1, 3, 1, 1, 2, 1, 2, 2, 2, 4, 0, 4, 2, 3, 4, 1, 3, 3, 4, 3, 3, 0, 4, 0, 3, 0, 3, 1, 3, 2, 1, 3, 2, 2, 1, 0, 3, 2, 0, 4, 3, 1, 3, 1, 4, 0, 2, 0, 3, 4, 2, 0, 2, 0, 3, 4, 3, 4, 3, 2, 2, 2, 3, 0, 3, 1, 1, 0, 4, 1, 2, 2, 1, 3, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 3, 0, 1, 1, 3, 0, 2, 0, 2, 0, 3, 3, 1, 4, 0, 4, 1, 1, 1, 0, 4, 2, 2, 2, 2, 2, 1, 3, 4, 2, 0, 1, 4, 0, 0, 1, 4, 2, 0, 2, 2, 1, 2, 2, 4, 3, 0, 1, 4, 3, 1, 2, 3, 2, 2, 3, 0, 4, 3, 3, 0, 2, 3, 3, 1, 1, 0, 3, 2, 0, 0, 4, 2, 0, 4, 0, 0, 1, 4, 1, 1, 0, 1, 3, 2, 3, 3, 3, 0, 4, 4, 3, 1, 2, 2, 1, 3, 2, 0, 4, 2, 1, 3, 3, 0, 4, 4, 2, 2, 4, 2, 3, 2, 3, 0, 1, 2, 0, 1, 4, 1, 4, 1, 1, 1, 1, 2, 2, 2, 4, 3, 2, 3, 0, 3, 2, 1, 2, 2, 3, 4, 3, 1, 4, 1, 4] pubkeycol1176 = [2, 0, 3, 4, 2, 0, 0, 3, 0, 0, 4, 4, 2, 3, 1, 0, 2, 1, 1, 0, 3, 1, 1, 0, 1, 2, 1, 2, 2, 0, 4, 2, 1, 3, 1, 3, 0, 3, 1, 3, 2, 1, 1, 4, 0, 4, 3, 3, 2, 2, 3, 3, 4, 3, 0, 4, 0, 3, 1, 4, 0, 3, 4, 3, 1, 3, 2, 1, 0, 2, 1, 1, 4, 4, 3, 3, 1, 1, 2, 0, 3, 2, 2, 3, 0, 4, 3, 3, 3, 0, 0, 4, 4, 1, 4, 1, 3, 2, 2, 0, 3, 2, 2, 0, 3, 4, 0, 4, 0, 2, 2, 2, 4, 3, 3, 1, 4, 0, 2, 1, 3, 1, 3, 3, 4, 0, 3, 4, 4, 0, 4, 2, 2, 2, 1, 0, 1, 0, 1, 3, 1, 0, 4, 2, 3, 0, 2, 3, 1, 0, 3, 0, 4, 3, 4, 4, 4, 2, 2, 1, 0, 2, 1, 1, 4, 2, 0, 0, 0, 4, 2, 1, 3, 2, 3, 2, 4, 4, 1, 2, 0, 1, 0, 2, 0, 0, 4, 1, 1, 4, 2, 4, 2, 3, 3, 2, 4, 3, 1, 1, 1, 1, 0, 1, 4, 3, 4, 4, 3, 1, 1, 2, 3, 1, 0, 0, 0, 2, 1, 3, 1, 3, 3, 2, 4, 4, 1, 4, 4, 3, 4, 1, 3, 2, 1, 1, 2, 2, 4, 4, 1, 4, 0, 1, 2, 3, 4, 1, 2, 2, 0, 1, 4, 1, 0, 3, 4, 1, 2, 0, 3, 2, 3, 4, 3, 2, 0, 0, 0, 4, 4, 2, 2, 1, 4, 0, 2, 0, 4, 0, 1, 4, 0, 3, 0, 2, 4, 3, 3, 1, 1, 4, 1, 1, 3, 2, 1, 0, 1, 1, 3, 3, 4, 0, 0, 2, 2, 3, 1, 3, 1, 0, 1, 2, 4, 2, 2, 2, 3, 4, 0, 0, 2, 4, 3, 0, 3, 0, 1, 0, 2, 4, 3, 4, 0, 3, 0, 4, 0, 1, 1, 2, 0, 0, 0, 3, 4, 1, 2, 0, 3, 3, 3, 2, 2, 1, 2, 2, 1, 3, 4, 2, 2, 2, 3, 2, 0, 3, 3, 4, 4, 3, 4, 0, 2, 2, 1, 1, 0, 1, 4, 4, 1, 0, 0, 4, 1, 0, 0, 1, 4, 3, 4, 3, 1, 0, 1, 1, 1, 1, 1, 4, 0, 2, 2, 4, 4, 1, 4, 0, 3, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 4, 3, 1, 1, 3, 4, 4, 2, 1, 2, 3, 3, 3, 1, 3, 2, 4, 4, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 3, 2, 1, 0, 4, 4, 0, 3, 4, 3, 0, 4, 3, 1, 3, 0, 3, 4, 1, 1, 4, 4, 4, 4, 4, 4, 0, 3, 3, 4] pubkeycol1177 = [2, 2, 4, 3, 0, 0, 4, 3, 0, 1, 1, 2, 1, 0, 4, 4, 3, 0, 0, 0, 0, 2, 4, 1, 2, 2, 4, 1, 1, 0, 1, 3, 3, 0, 4, 1, 4, 4, 1, 2, 3, 3, 3, 1, 4, 1, 3, 4, 2, 1, 4, 2, 0, 1, 0, 4, 0, 0, 0, 2, 0, 3, 1, 3, 4, 0, 3, 0, 0, 4, 0, 3, 4, 3, 2, 2, 3, 1, 2, 2, 0, 4, 0, 4, 3, 0, 1, 1, 4, 2, 0, 3, 2, 0, 0, 3, 4, 4, 4, 2, 3, 0, 3, 4, 1, 1, 2, 2, 2, 3, 3, 3, 1, 2, 2, 0, 0, 4, 0, 4, 2, 3, 4, 4, 0, 2, 0, 2, 1, 2, 2, 3, 2, 4, 4, 2, 1, 4, 4, 3, 4, 4, 2, 3, 4, 1, 3, 3, 4, 1, 1, 0, 0, 2, 3, 0, 0, 1, 1, 4, 3, 1, 3, 0, 1, 4, 2, 2, 4, 4, 0, 1, 2, 3, 0, 3, 2, 4, 3, 0, 4, 0, 2, 4, 1, 3, 3, 3, 2, 0, 2, 0, 0, 1, 3, 0, 2, 0, 1, 3, 0, 1, 2, 4, 1, 4, 1, 3, 4, 2, 1, 2, 4, 1, 3, 1, 4, 1, 3, 1, 4, 0, 3, 0, 0, 0, 3, 2, 1, 0, 3, 4, 4, 1, 2, 2, 4, 2, 2, 2, 4, 2, 3, 0, 4, 2, 4, 1, 1, 3, 3, 2, 0, 1, 2, 1, 0, 0, 4, 4, 4, 4, 2, 0, 0, 3, 2, 1, 4, 3, 3, 0, 4, 0, 2, 0, 1, 1, 3, 3, 0, 3, 3, 2, 3, 3, 4, 3, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 3, 0, 3, 2, 0, 2, 0, 2, 3, 4, 1, 1, 4, 0, 2, 3, 0, 1, 1, 3, 2, 2, 3, 4, 0, 1, 3, 1, 4, 2, 4, 4, 2, 4, 2, 3, 3, 4, 4, 0, 1, 4, 4, 0, 3, 1, 3, 2, 3, 0, 0, 3, 4, 3, 4, 0, 1, 3, 3, 0, 2, 2, 0, 2, 4, 0, 2, 1, 4, 2, 1, 4, 2, 0, 1, 4, 4, 3, 2, 1, 4, 1, 0, 4, 3, 1, 4, 2, 3, 0, 3, 4, 0, 1, 1, 2, 1, 0, 4, 3, 2, 3, 0, 0, 0, 4, 3, 2, 0, 4, 0, 1, 0, 2, 3, 0, 4, 2, 1, 2, 4, 3, 1, 2, 4, 0, 2, 2, 4, 0, 3, 4, 2, 3, 3, 0, 4, 4, 1, 0, 1, 0, 4, 1, 0, 1, 4, 4, 0, 3, 2, 0, 4, 2, 4, 0, 3, 1, 1, 2, 0, 2, 3, 1, 4, 1, 4, 1, 3, 1, 4, 1, 2, 4, 0, 3, 2, 3, 4, 1, 2, 4] pubkeycol1178 = [3, 0, 3, 2, 2, 2, 3, 3, 3, 4, 0, 4, 3, 0, 0, 2, 0, 0, 1, 1, 0, 0, 4, 2, 1, 1, 1, 3, 0, 1, 0, 2, 1, 1, 3, 1, 4, 0, 4, 1, 1, 3, 0, 1, 0, 2, 2, 1, 0, 1, 4, 3, 3, 2, 4, 4, 4, 3, 4, 3, 4, 1, 0, 4, 2, 1, 0, 0, 4, 2, 1, 1, 0, 4, 1, 1, 0, 4, 3, 0, 4, 1, 0, 1, 4, 0, 0, 4, 4, 1, 0, 2, 4, 3, 2, 1, 3, 2, 3, 0, 1, 0, 3, 3, 0, 4, 0, 0, 1, 1, 3, 2, 0, 0, 3, 1, 4, 0, 0, 3, 3, 2, 3, 1, 2, 1, 0, 2, 3, 0, 3, 4, 3, 0, 2, 0, 2, 1, 3, 0, 3, 0, 3, 3, 3, 1, 3, 2, 1, 2, 2, 1, 2, 1, 4, 3, 3, 0, 3, 0, 3, 3, 0, 2, 4, 1, 2, 4, 3, 2, 4, 3, 0, 4, 3, 3, 1, 0, 4, 3, 3, 0, 4, 0, 2, 0, 2, 0, 1, 4, 1, 2, 4, 1, 2, 2, 0, 3, 3, 3, 2, 0, 4, 1, 3, 3, 1, 4, 1, 4, 3, 0, 2, 2, 4, 0, 4, 2, 3, 4, 0, 1, 3, 1, 1, 1, 3, 2, 0, 4, 0, 0, 2, 3, 3, 1, 1, 0, 1, 0, 2, 2, 4, 0, 2, 2, 2, 1, 0, 3, 0, 1, 0, 3, 0, 2, 2, 0, 4, 2, 4, 0, 1, 1, 0, 1, 0, 4, 1, 4, 4, 0, 0, 1, 1, 3, 3, 0, 0, 3, 1, 4, 2, 2, 2, 3, 1, 2, 1, 0, 3, 1, 2, 1, 1, 1, 3, 4, 2, 3, 1, 1, 2, 3, 4, 3, 0, 2, 0, 1, 3, 0, 4, 0, 3, 3, 0, 3, 2, 3, 0, 0, 1, 4, 1, 2, 2, 1, 2, 0, 2, 4, 2, 3, 3, 2, 3, 4, 1, 3, 3, 1, 2, 4, 1, 2, 1, 2, 3, 0, 1, 1, 1, 1, 3, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 3, 2, 3, 1, 1, 2, 3, 1, 0, 2, 2, 4, 1, 3, 2, 4, 0, 0, 3, 3, 2, 3, 0, 2, 1, 3, 1, 3, 2, 3, 0, 2, 2, 2, 4, 3, 1, 1, 4, 3, 3, 3, 2, 4, 4, 1, 4, 1, 2, 4, 1, 3, 2, 3, 3, 4, 1, 2, 0, 4, 4, 1, 4, 1, 1, 1, 4, 2, 0, 1, 0, 2, 1, 3, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 4, 0, 0, 4, 0, 1, 2, 0, 3, 0, 1, 0, 3, 0, 2, 4, 4, 1, 3, 3, 0, 1, 4, 3, 1, 1, 3, 2, 0, 1] pubkeycol1179 = [2, 0, 0, 4, 0, 3, 0, 1, 4, 2, 1, 4, 1, 0, 1, 0, 0, 1, 4, 3, 3, 0, 4, 2, 3, 4, 4, 2, 3, 2, 3, 1, 3, 4, 0, 2, 0, 2, 1, 3, 2, 1, 4, 0, 0, 0, 1, 0, 3, 4, 1, 0, 0, 3, 4, 4, 0, 0, 1, 0, 2, 0, 0, 3, 4, 3, 3, 3, 0, 3, 3, 0, 1, 3, 3, 3, 1, 3, 3, 4, 3, 2, 2, 4, 2, 1, 3, 1, 4, 0, 3, 0, 4, 4, 1, 0, 1, 2, 3, 4, 2, 4, 1, 4, 0, 4, 0, 4, 1, 0, 4, 0, 2, 3, 1, 1, 2, 4, 0, 0, 2, 0, 3, 4, 1, 4, 1, 0, 1, 0, 0, 3, 3, 0, 1, 3, 1, 0, 0, 4, 4, 2, 2, 4, 4, 4, 2, 4, 4, 2, 4, 0, 2, 0, 4, 1, 0, 1, 4, 1, 4, 0, 4, 4, 0, 1, 3, 4, 2, 2, 1, 4, 3, 2, 4, 1, 4, 2, 0, 4, 1, 3, 3, 0, 1, 0, 1, 3, 2, 3, 2, 4, 4, 0, 2, 1, 0, 1, 0, 2, 3, 1, 4, 2, 3, 0, 3, 3, 2, 2, 3, 4, 0, 4, 4, 2, 3, 1, 3, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 4, 2, 0, 2, 0, 2, 4, 4, 3, 4, 3, 1, 0, 0, 1, 3, 3, 3, 0, 4, 3, 0, 0, 3, 4, 0, 0, 2, 4, 4, 1, 4, 2, 1, 1, 1, 3, 4, 1, 3, 1, 1, 3, 0, 4, 3, 4, 3, 1, 2, 4, 4, 0, 0, 0, 3, 0, 2, 4, 3, 1, 2, 3, 0, 1, 3, 2, 4, 0, 0, 3, 0, 4, 0, 0, 3, 1, 2, 2, 3, 2, 1, 0, 0, 1, 2, 0, 0, 3, 2, 4, 3, 2, 4, 3, 0, 2, 4, 4, 2, 1, 4, 3, 2, 1, 1, 4, 2, 4, 1, 0, 2, 2, 4, 3, 3, 1, 0, 1, 3, 2, 2, 2, 2, 3, 2, 3, 4, 0, 2, 0, 4, 4, 4, 0, 1, 0, 3, 0, 2, 1, 4, 1, 2, 4, 1, 2, 4, 1, 0, 4, 1, 1, 1, 0, 0, 4, 0, 4, 0, 3, 2, 0, 4, 3, 1, 4, 4, 0, 0, 0, 4, 2, 1, 3, 3, 3, 2, 3, 2, 2, 4, 3, 3, 1, 4, 3, 1, 4, 1, 3, 0, 0, 1, 4, 4, 3, 0, 1, 2, 4, 4, 1, 4, 0, 2, 0, 1, 2, 4, 0, 1, 3, 3, 4, 4, 3, 4, 0, 0, 0, 1, 3, 0, 1, 1, 0, 4, 4, 4, 0, 0, 4, 0, 2, 3, 0, 1, 3, 2, 0, 1, 4, 3, 2, 4, 4, 2] pubkeycol1180 = [0, 4, 4, 4, 3, 1, 4, 0, 3, 3, 0, 4, 3, 0, 1, 3, 4, 3, 0, 3, 0, 2, 4, 4, 2, 4, 0, 0, 2, 4, 0, 0, 4, 0, 3, 2, 4, 3, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 4, 3, 1, 3, 1, 2, 4, 4, 2, 0, 4, 4, 3, 3, 3, 3, 2, 2, 2, 3, 3, 1, 0, 0, 1, 0, 2, 1, 2, 4, 1, 1, 3, 0, 0, 0, 3, 0, 4, 2, 2, 1, 2, 0, 4, 2, 2, 1, 4, 3, 2, 1, 4, 3, 0, 0, 0, 4, 4, 1, 2, 4, 0, 3, 4, 1, 4, 4, 2, 0, 2, 1, 3, 4, 4, 4, 1, 1, 0, 2, 2, 1, 2, 2, 0, 3, 2, 4, 1, 4, 4, 0, 4, 1, 1, 2, 4, 3, 1, 0, 2, 4, 4, 1, 4, 0, 1, 4, 4, 2, 4, 2, 3, 0, 2, 3, 0, 4, 2, 0, 3, 3, 2, 1, 1, 3, 0, 3, 1, 2, 3, 0, 1, 1, 0, 2, 0, 3, 3, 1, 0, 2, 4, 1, 4, 4, 0, 3, 3, 2, 4, 4, 1, 2, 0, 1, 2, 3, 3, 2, 4, 0, 1, 3, 2, 1, 4, 0, 0, 3, 4, 0, 4, 2, 3, 3, 1, 1, 2, 2, 4, 0, 2, 0, 3, 0, 0, 2, 2, 4, 0, 2, 2, 1, 1, 0, 2, 3, 1, 3, 1, 2, 1, 2, 1, 2, 2, 3, 0, 0, 2, 3, 2, 3, 0, 2, 3, 4, 4, 3, 2, 1, 1, 0, 2, 4, 2, 0, 3, 1, 1, 2, 4, 3, 3, 1, 3, 2, 4, 2, 1, 4, 0, 1, 4, 3, 1, 2, 0, 2, 1, 2, 3, 4, 4, 3, 3, 0, 3, 4, 2, 0, 3, 0, 3, 1, 0, 0, 1, 0, 1, 1, 0, 3, 4, 3, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 3, 2, 0, 2, 2, 0, 0, 3, 0, 2, 2, 0, 3, 4, 2, 3, 0, 4, 3, 2, 4, 2, 1, 4, 2, 1, 2, 4, 0, 2, 1, 3, 1, 4, 0, 1, 0, 4, 0, 1, 0, 1, 2, 2, 3, 4, 1, 2, 0, 2, 4, 4, 0, 3, 3, 3, 4, 0, 2, 2, 0, 0, 1, 3, 0, 3, 1, 0, 4, 1, 3, 3, 1, 1, 0, 2, 2, 3, 4, 4, 4, 4, 2, 0, 1, 1, 1, 1, 4, 2, 2, 1, 1, 4, 4, 4, 2, 0, 4, 0, 1, 0, 1, 1, 1, 4, 1, 2, 0, 4, 1, 0, 1, 3, 2, 0, 0, 0, 4, 1, 0, 1, 3, 1, 2, 1, 2, 1, 4, 3, 3, 4, 3, 1, 1, 4, 1, 3, 1, 4] pubkeycol1181 = [2, 3, 4, 0, 0, 2, 4, 1, 2, 1, 1, 3, 3, 2, 2, 3, 1, 3, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 3, 0, 3, 3, 0, 4, 4, 4, 2, 2, 4, 3, 0, 0, 2, 4, 2, 1, 0, 0, 0, 3, 0, 3, 0, 0, 4, 3, 2, 1, 3, 1, 3, 3, 3, 1, 3, 2, 4, 0, 0, 1, 1, 2, 1, 3, 2, 4, 1, 4, 2, 2, 3, 3, 2, 2, 3, 3, 1, 0, 1, 3, 1, 1, 1, 3, 0, 0, 4, 3, 3, 0, 3, 0, 4, 4, 2, 4, 0, 0, 4, 1, 3, 0, 0, 1, 1, 1, 4, 3, 3, 4, 0, 2, 4, 2, 4, 2, 4, 3, 0, 1, 4, 3, 0, 3, 0, 0, 2, 0, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 3, 3, 4, 4, 1, 1, 1, 3, 1, 3, 1, 3, 0, 2, 3, 0, 0, 2, 1, 4, 2, 2, 0, 2, 1, 1, 3, 3, 1, 0, 4, 1, 4, 1, 4, 2, 3, 0, 0, 3, 3, 1, 0, 2, 0, 1, 1, 0, 3, 4, 1, 1, 2, 2, 2, 4, 2, 1, 0, 1, 0, 0, 3, 1, 2, 2, 4, 2, 1, 0, 2, 2, 3, 2, 1, 4, 3, 2, 2, 4, 2, 1, 3, 2, 1, 1, 1, 2, 0, 0, 3, 3, 3, 4, 3, 3, 0, 0, 3, 4, 2, 2, 0, 4, 3, 0, 0, 1, 4, 4, 3, 2, 3, 0, 3, 2, 1, 1, 2, 1, 0, 4, 1, 2, 4, 0, 4, 4, 0, 3, 2, 2, 2, 3, 0, 1, 1, 1, 1, 4, 0, 1, 0, 1, 4, 1, 3, 3, 2, 1, 2, 4, 4, 2, 4, 4, 3, 3, 2, 1, 4, 1, 3, 2, 1, 4, 0, 0, 2, 1, 2, 4, 1, 4, 4, 2, 3, 0, 0, 1, 0, 4, 3, 2, 0, 3, 1, 3, 0, 1, 0, 2, 1, 3, 1, 3, 0, 4, 0, 2, 2, 1, 3, 2, 0, 2, 1, 1, 4, 4, 1, 3, 4, 0, 2, 3, 0, 3, 2, 0, 1, 2, 4, 3, 4, 3, 4, 0, 0, 1, 2, 1, 3, 1, 4, 1, 1, 1, 4, 0, 2, 1, 3, 0, 1, 2, 0, 3, 0, 2, 2, 0, 0, 4, 4, 4, 1, 0, 1, 2, 4, 4, 1, 3, 2, 2, 3, 2, 2, 2, 4, 1, 4, 1, 4, 2, 3, 1, 3, 4, 1, 0, 1, 2, 3, 1, 3, 4, 2, 3, 4, 3, 0, 2, 4, 1, 4, 4, 0, 1, 2, 3, 0, 0, 4, 2, 4, 0, 2, 0, 4, 1, 0, 4, 0, 1, 2, 0, 0, 4, 3, 1, 1, 4, 1, 4, 2, 0, 4, 1, 2] pubkeycol1182 = [1, 4, 0, 4, 0, 2, 1, 0, 1, 2, 4, 2, 0, 0, 1, 1, 2, 3, 3, 3, 4, 3, 0, 1, 3, 3, 0, 2, 4, 2, 2, 2, 3, 4, 1, 0, 1, 4, 3, 4, 4, 3, 2, 4, 2, 1, 4, 0, 2, 2, 0, 3, 3, 1, 0, 3, 3, 2, 1, 0, 1, 1, 3, 1, 1, 2, 1, 1, 1, 3, 0, 2, 4, 4, 4, 2, 4, 0, 3, 4, 3, 1, 0, 4, 3, 0, 1, 3, 1, 1, 0, 4, 3, 1, 0, 1, 0, 2, 0, 1, 1, 3, 3, 3, 1, 4, 4, 2, 1, 1, 1, 3, 1, 0, 3, 4, 3, 2, 3, 3, 1, 3, 2, 0, 4, 0, 1, 4, 4, 3, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 3, 4, 1, 1, 1, 0, 1, 4, 0, 2, 0, 2, 4, 0, 0, 4, 2, 1, 1, 4, 0, 0, 3, 3, 4, 0, 4, 4, 0, 3, 0, 2, 4, 4, 3, 2, 0, 0, 1, 0, 4, 2, 3, 1, 0, 4, 4, 3, 0, 0, 0, 0, 3, 4, 2, 2, 3, 4, 0, 3, 2, 4, 4, 3, 3, 4, 3, 3, 0, 2, 3, 4, 1, 4, 3, 0, 4, 3, 3, 0, 2, 3, 3, 1, 4, 3, 0, 1, 3, 3, 4, 1, 4, 0, 3, 4, 0, 3, 2, 0, 1, 4, 4, 2, 1, 3, 0, 0, 1, 3, 1, 2, 4, 4, 2, 0, 4, 3, 1, 1, 3, 4, 3, 0, 0, 0, 2, 2, 0, 0, 2, 0, 4, 4, 3, 3, 1, 4, 2, 0, 4, 0, 4, 4, 2, 3, 0, 0, 3, 0, 0, 3, 4, 1, 0, 3, 4, 1, 4, 0, 0, 2, 0, 3, 1, 1, 3, 1, 2, 3, 2, 3, 2, 2, 0, 2, 4, 2, 4, 3, 0, 0, 0, 2, 2, 3, 3, 4, 4, 4, 0, 1, 1, 0, 3, 1, 4, 2, 2, 1, 3, 0, 4, 2, 0, 4, 3, 3, 2, 1, 3, 4, 2, 2, 4, 2, 4, 4, 3, 3, 4, 2, 1, 1, 1, 1, 0, 2, 2, 4, 3, 1, 0, 3, 4, 0, 2, 3, 4, 0, 0, 4, 1, 4, 4, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 3, 4, 3, 4, 4, 3, 2, 2, 4, 4, 2, 1, 1, 2, 4, 1, 2, 4, 1, 1, 4, 2, 3, 2, 1, 4, 2, 2, 0, 3, 0, 2, 1, 1, 0, 0, 2, 4, 3, 2, 3, 3, 1, 0, 3, 3, 4, 1, 4, 4, 1, 0, 4, 0, 2, 0, 2, 2, 2, 3, 2, 4, 0, 1, 3, 3, 2, 2, 4, 0, 0, 1, 3, 1, 1, 1, 2, 0, 3, 1, 1, 2, 0, 3] pubkeycol1183 = [3, 0, 3, 3, 1, 2, 4, 2, 0, 0, 3, 0, 4, 1, 3, 1, 3, 2, 2, 4, 4, 1, 3, 3, 4, 0, 3, 0, 4, 1, 4, 2, 3, 2, 0, 1, 1, 3, 1, 2, 3, 4, 4, 0, 2, 4, 4, 0, 3, 3, 0, 2, 3, 3, 1, 2, 2, 1, 3, 3, 4, 3, 4, 2, 2, 3, 1, 2, 3, 2, 3, 3, 0, 2, 2, 3, 3, 4, 3, 0, 4, 4, 2, 3, 3, 4, 2, 0, 2, 2, 1, 3, 1, 2, 4, 4, 1, 3, 4, 2, 4, 0, 1, 2, 1, 4, 0, 1, 0, 1, 1, 1, 1, 3, 3, 4, 3, 0, 2, 4, 1, 0, 1, 2, 4, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 3, 1, 4, 4, 1, 3, 4, 2, 3, 4, 0, 3, 3, 1, 4, 4, 3, 1, 0, 1, 3, 0, 2, 0, 4, 3, 1, 4, 4, 4, 4, 0, 3, 4, 2, 4, 1, 4, 2, 4, 4, 1, 2, 1, 3, 0, 0, 0, 0, 4, 1, 0, 4, 4, 2, 1, 1, 4, 0, 1, 2, 0, 1, 1, 3, 3, 0, 2, 3, 1, 4, 0, 1, 1, 4, 4, 1, 2, 2, 2, 1, 0, 1, 3, 3, 3, 1, 1, 4, 0, 2, 2, 3, 1, 3, 3, 0, 1, 4, 4, 1, 3, 2, 4, 1, 2, 2, 3, 3, 0, 0, 1, 3, 1, 2, 0, 2, 1, 4, 3, 4, 2, 2, 2, 0, 4, 2, 4, 4, 0, 3, 1, 2, 1, 1, 0, 0, 1, 0, 4, 1, 3, 4, 4, 2, 1, 4, 2, 4, 1, 4, 3, 1, 3, 0, 4, 2, 1, 2, 0, 2, 1, 0, 3, 3, 0, 4, 3, 2, 4, 0, 2, 1, 2, 4, 2, 0, 0, 0, 2, 1, 4, 4, 2, 1, 3, 4, 1, 4, 1, 3, 1, 3, 4, 0, 2, 4, 3, 4, 2, 4, 1, 0, 2, 1, 4, 0, 3, 1, 2, 0, 0, 1, 2, 3, 0, 1, 2, 4, 3, 0, 3, 3, 2, 3, 2, 4, 0, 1, 3, 0, 4, 0, 3, 2, 0, 3, 2, 2, 2, 4, 1, 4, 3, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0, 4, 4, 2, 2, 1, 3, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 2, 4, 2, 1, 2, 3, 2, 2, 0, 1, 4, 0, 3, 3, 4, 2, 0, 2, 3, 4, 2, 2, 2, 4, 2, 3, 2, 4, 0, 1, 1, 3, 2, 3, 4, 0, 4, 1, 1, 3, 3, 2, 3, 0, 4, 2, 3, 3, 3, 1, 1, 0, 2, 1, 0, 3, 4, 1, 0, 2, 2, 2, 1, 0, 2, 2, 4, 1, 0] pubkeycol1184 = [2, 0, 4, 2, 2, 3, 2, 1, 4, 3, 0, 4, 2, 2, 2, 2, 3, 1, 0, 0, 0, 0, 1, 4, 3, 2, 4, 1, 1, 0, 2, 2, 4, 1, 2, 2, 0, 1, 1, 3, 4, 3, 1, 0, 4, 0, 2, 1, 2, 1, 3, 3, 1, 2, 1, 3, 1, 0, 4, 3, 3, 4, 3, 3, 1, 0, 1, 2, 4, 2, 2, 3, 2, 0, 1, 1, 3, 4, 3, 4, 4, 1, 0, 1, 4, 3, 1, 2, 4, 0, 0, 1, 1, 1, 0, 3, 0, 0, 1, 1, 0, 3, 0, 4, 1, 4, 0, 3, 0, 4, 0, 1, 1, 0, 0, 1, 1, 1, 4, 3, 2, 3, 0, 2, 0, 2, 3, 3, 1, 0, 4, 1, 4, 0, 2, 1, 3, 2, 3, 1, 0, 1, 1, 1, 0, 4, 2, 4, 2, 3, 1, 4, 2, 3, 3, 3, 2, 3, 0, 4, 0, 0, 3, 0, 1, 4, 4, 2, 2, 3, 4, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 3, 1, 2, 3, 0, 3, 0, 0, 4, 3, 0, 3, 0, 3, 3, 3, 2, 1, 2, 2, 2, 3, 0, 2, 1, 2, 1, 2, 3, 0, 3, 0, 2, 1, 0, 2, 1, 0, 4, 2, 1, 1, 1, 2, 4, 0, 3, 4, 0, 2, 1, 3, 0, 0, 1, 4, 2, 0, 0, 4, 0, 4, 4, 4, 3, 0, 0, 1, 2, 1, 3, 3, 0, 4, 2, 3, 0, 4, 4, 3, 3, 2, 4, 3, 0, 2, 4, 0, 3, 2, 3, 1, 4, 3, 3, 2, 4, 4, 4, 3, 0, 1, 2, 3, 4, 4, 3, 0, 1, 3, 2, 0, 2, 1, 0, 4, 4, 4, 2, 4, 1, 1, 4, 1, 0, 4, 4, 0, 4, 1, 1, 4, 1, 2, 1, 3, 4, 3, 4, 0, 1, 4, 1, 3, 4, 1, 3, 4, 2, 4, 1, 2, 0, 1, 1, 0, 3, 2, 2, 1, 4, 2, 4, 2, 0, 1, 4, 3, 4, 1, 4, 1, 2, 3, 0, 4, 4, 4, 1, 0, 3, 2, 3, 0, 2, 4, 0, 3, 3, 4, 1, 2, 4, 4, 4, 1, 4, 2, 0, 3, 4, 0, 4, 1, 0, 3, 2, 1, 2, 2, 0, 1, 1, 3, 0, 2, 0, 4, 1, 3, 3, 1, 3, 4, 2, 3, 3, 0, 1, 4, 3, 4, 4, 4, 1, 2, 2, 0, 3, 2, 4, 1, 3, 2, 2, 2, 3, 4, 4, 1, 2, 4, 1, 0, 2, 0, 1, 4, 4, 2, 1, 3, 0, 1, 1, 1, 0, 2, 0, 0, 3, 4, 3, 2, 2, 0, 4, 3, 1, 2, 3, 2, 1, 0, 2, 4, 0, 4, 3, 0, 4, 2, 1, 4, 4, 2] pubkeycol1185 = [1, 1, 1, 2, 2, 3, 3, 2, 0, 1, 0, 4, 0, 3, 2, 2, 0, 1, 1, 2, 1, 3, 4, 2, 2, 4, 0, 4, 3, 1, 0, 4, 2, 2, 4, 2, 1, 0, 4, 2, 3, 2, 3, 2, 4, 4, 2, 0, 4, 1, 1, 2, 4, 3, 1, 4, 3, 2, 1, 3, 1, 4, 4, 0, 0, 3, 2, 3, 3, 0, 0, 1, 3, 2, 2, 1, 1, 0, 3, 0, 4, 3, 4, 3, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 3, 1, 4, 1, 0, 3, 4, 2, 3, 3, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 3, 4, 2, 4, 4, 0, 1, 2, 2, 0, 0, 4, 1, 1, 1, 1, 4, 0, 2, 3, 1, 2, 3, 0, 0, 2, 4, 1, 4, 4, 4, 2, 0, 1, 1, 3, 1, 1, 3, 1, 2, 2, 0, 4, 1, 2, 0, 4, 2, 0, 3, 2, 0, 4, 1, 4, 0, 2, 2, 0, 0, 1, 2, 4, 2, 3, 1, 0, 1, 2, 1, 4, 4, 4, 1, 3, 3, 0, 4, 0, 4, 2, 2, 1, 1, 4, 2, 1, 0, 2, 0, 2, 4, 4, 0, 2, 2, 1, 1, 3, 2, 3, 0, 1, 1, 1, 3, 3, 0, 1, 0, 0, 1, 2, 1, 0, 0, 4, 3, 2, 0, 1, 3, 1, 3, 3, 1, 4, 1, 4, 2, 0, 3, 4, 2, 2, 4, 2, 1, 1, 4, 1, 3, 3, 0, 0, 3, 4, 2, 4, 1, 4, 0, 1, 2, 3, 2, 4, 3, 0, 2, 4, 0, 4, 2, 0, 3, 3, 0, 4, 0, 3, 3, 3, 4, 4, 0, 0, 4, 1, 2, 4, 3, 3, 0, 2, 4, 3, 0, 0, 1, 4, 0, 0, 0, 0, 0, 1, 4, 0, 2, 4, 0, 0, 3, 4, 4, 4, 0, 2, 3, 1, 3, 1, 2, 2, 2, 3, 2, 3, 2, 0, 4, 3, 3, 0, 3, 1, 1, 4, 4, 3, 1, 4, 0, 3, 4, 1, 0, 1, 3, 2, 1, 0, 3, 4, 3, 2, 1, 0, 1, 3, 2, 2, 4, 1, 4, 4, 2, 2, 1, 3, 2, 3, 2, 1, 3, 1, 3, 0, 4, 2, 1, 3, 2, 3, 2, 3, 3, 1, 0, 1, 2, 2, 0, 4, 2, 1, 1, 3, 4, 3, 3, 0, 2, 0, 1, 3, 4, 4, 1, 4, 2, 4, 2, 4, 3, 4, 0, 1, 3, 1, 2, 1, 3, 3, 2, 4, 2, 1, 4, 1, 2, 4, 3, 3, 0, 3, 2, 2, 2, 4, 1, 4, 4, 1, 0, 2, 1, 4, 1, 2, 0, 1, 4, 3, 4, 2, 4, 3, 1, 1, 0, 4, 2, 1, 3, 2, 0, 1, 4] pubkeycol1186 = [2, 1, 3, 1, 0, 0, 0, 0, 0, 0, 4, 3, 2, 1, 1, 0, 2, 2, 1, 2, 2, 4, 3, 3, 3, 3, 2, 0, 2, 1, 3, 2, 2, 4, 1, 3, 1, 3, 3, 3, 1, 4, 3, 2, 0, 4, 3, 4, 2, 2, 1, 2, 1, 4, 3, 3, 4, 2, 4, 4, 2, 2, 0, 3, 4, 1, 3, 0, 4, 3, 0, 4, 3, 3, 0, 1, 2, 1, 4, 1, 3, 0, 2, 4, 1, 4, 2, 0, 4, 4, 1, 3, 4, 2, 3, 4, 1, 3, 4, 0, 2, 0, 4, 1, 4, 2, 2, 1, 4, 4, 2, 3, 4, 3, 4, 4, 0, 4, 1, 4, 2, 1, 4, 0, 4, 0, 0, 2, 1, 4, 3, 1, 1, 4, 3, 4, 0, 4, 3, 2, 4, 3, 0, 4, 1, 3, 1, 2, 0, 3, 0, 0, 1, 4, 3, 0, 0, 0, 4, 4, 4, 1, 1, 3, 0, 2, 2, 4, 4, 4, 3, 0, 4, 2, 1, 4, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 3, 2, 0, 3, 2, 0, 0, 3, 3, 2, 2, 4, 4, 1, 3, 4, 0, 3, 4, 3, 1, 3, 2, 4, 3, 1, 0, 3, 4, 3, 0, 0, 1, 1, 1, 4, 2, 1, 1, 3, 4, 3, 1, 1, 1, 3, 2, 4, 3, 1, 0, 2, 2, 4, 2, 1, 2, 3, 2, 0, 4, 1, 0, 0, 0, 0, 1, 3, 3, 2, 3, 0, 4, 2, 4, 2, 4, 2, 1, 3, 3, 1, 0, 4, 0, 3, 1, 0, 0, 1, 2, 0, 3, 0, 4, 2, 4, 0, 4, 2, 1, 0, 3, 0, 1, 4, 2, 1, 4, 0, 0, 3, 2, 1, 2, 4, 1, 1, 4, 1, 4, 1, 3, 0, 2, 2, 0, 4, 2, 1, 2, 3, 2, 0, 1, 3, 1, 1, 0, 3, 1, 3, 2, 4, 4, 0, 2, 3, 4, 4, 1, 0, 4, 3, 1, 3, 2, 2, 3, 1, 1, 2, 2, 4, 3, 1, 1, 4, 3, 3, 2, 2, 1, 0, 0, 3, 3, 4, 3, 4, 4, 1, 2, 2, 4, 0, 1, 3, 3, 1, 2, 2, 1, 2, 1, 3, 4, 3, 0, 4, 1, 2, 3, 4, 2, 4, 4, 2, 0, 2, 2, 4, 4, 4, 1, 4, 4, 0, 1, 4, 3, 3, 2, 0, 0, 1, 0, 4, 0, 3, 0, 0, 1, 4, 2, 1, 2, 3, 4, 1, 1, 0, 0, 2, 3, 3, 2, 2, 1, 1, 4, 2, 3, 0, 0, 2, 4, 2, 0, 3, 4, 1, 4, 3, 2, 4, 2, 1, 1, 2, 2, 1, 1, 1, 3, 4, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 4, 1, 0, 2, 1, 4, 3] pubkeycol1187 = [3, 1, 3, 3, 0, 4, 0, 4, 4, 4, 0, 3, 4, 0, 4, 4, 3, 3, 4, 2, 0, 0, 4, 0, 1, 0, 0, 1, 1, 3, 4, 3, 0, 0, 1, 3, 1, 4, 1, 4, 2, 4, 2, 0, 0, 0, 4, 4, 4, 1, 1, 4, 2, 4, 3, 4, 4, 0, 2, 4, 1, 0, 2, 0, 3, 4, 1, 3, 1, 3, 1, 0, 4, 1, 1, 1, 1, 2, 2, 0, 1, 4, 0, 3, 0, 0, 0, 3, 0, 2, 2, 0, 4, 1, 4, 4, 4, 4, 2, 4, 1, 4, 0, 1, 2, 1, 4, 3, 2, 1, 4, 1, 0, 3, 3, 2, 4, 2, 4, 1, 0, 0, 3, 3, 1, 1, 0, 2, 2, 1, 0, 3, 4, 1, 4, 4, 0, 3, 4, 3, 3, 2, 4, 1, 3, 0, 2, 2, 2, 3, 3, 1, 3, 0, 4, 3, 2, 0, 3, 0, 3, 2, 2, 0, 0, 3, 3, 1, 1, 2, 0, 2, 3, 3, 3, 0, 3, 4, 3, 3, 3, 2, 0, 3, 2, 4, 2, 4, 1, 1, 1, 4, 3, 2, 0, 0, 3, 0, 0, 3, 1, 1, 3, 3, 2, 0, 1, 4, 2, 0, 2, 1, 1, 1, 3, 3, 3, 2, 0, 0, 0, 3, 0, 3, 2, 1, 3, 4, 2, 4, 4, 1, 1, 3, 4, 4, 1, 3, 2, 1, 1, 4, 4, 3, 1, 4, 0, 4, 2, 0, 1, 1, 3, 2, 2, 2, 2, 3, 1, 4, 4, 2, 0, 2, 2, 3, 1, 3, 4, 1, 1, 1, 4, 4, 1, 1, 4, 2, 4, 4, 2, 0, 4, 3, 2, 4, 4, 1, 0, 2, 2, 3, 4, 4, 3, 2, 0, 0, 1, 2, 2, 2, 3, 2, 0, 3, 1, 2, 4, 1, 4, 1, 4, 0, 3, 0, 4, 1, 2, 3, 4, 3, 0, 4, 3, 0, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 3, 0, 1, 2, 3, 1, 4, 1, 3, 0, 0, 4, 0, 2, 3, 2, 1, 2, 3, 0, 3, 0, 1, 1, 1, 3, 3, 4, 0, 1, 1, 0, 3, 1, 0, 1, 0, 2, 4, 2, 3, 0, 4, 4, 0, 2, 0, 3, 2, 2, 3, 2, 1, 2, 2, 2, 0, 0, 2, 0, 4, 1, 0, 1, 4, 4, 2, 4, 1, 2, 3, 4, 1, 4, 1, 1, 0, 1, 0, 4, 3, 4, 2, 4, 2, 2, 2, 1, 1, 1, 0, 2, 4, 2, 1, 0, 4, 0, 1, 1, 1, 1, 2, 4, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 3, 4, 4, 4, 3, 2, 4, 1, 1, 3, 0, 2, 1, 4, 1, 2, 0, 2, 0, 2, 1, 2, 1, 4, 3, 3, 4, 2, 2] pubkeycol1188 = [0, 3, 2, 1, 0, 2, 4, 3, 3, 1, 2, 4, 0, 4, 0, 2, 4, 1, 1, 3, 1, 0, 4, 3, 4, 3, 4, 3, 0, 3, 3, 0, 4, 1, 0, 4, 4, 1, 2, 2, 0, 2, 1, 4, 2, 3, 3, 4, 0, 2, 4, 0, 0, 2, 2, 4, 3, 2, 4, 4, 0, 3, 1, 1, 1, 2, 2, 0, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 3, 2, 2, 4, 4, 3, 1, 4, 3, 1, 2, 1, 1, 0, 0, 4, 1, 0, 1, 3, 3, 0, 1, 4, 0, 0, 4, 3, 1, 4, 3, 3, 3, 1, 4, 4, 0, 4, 0, 4, 3, 0, 2, 0, 0, 1, 3, 4, 1, 2, 4, 1, 0, 4, 0, 4, 2, 4, 4, 1, 0, 4, 1, 1, 0, 4, 3, 2, 0, 0, 3, 1, 1, 0, 1, 0, 1, 4, 4, 4, 2, 4, 1, 3, 2, 3, 4, 4, 2, 3, 1, 2, 1, 4, 0, 1, 3, 0, 1, 3, 4, 2, 0, 1, 3, 1, 2, 3, 4, 1, 2, 4, 2, 2, 4, 0, 0, 4, 2, 2, 2, 3, 3, 4, 4, 2, 0, 3, 1, 0, 2, 0, 2, 2, 1, 3, 0, 4, 0, 1, 0, 0, 0, 4, 3, 4, 3, 3, 1, 3, 1, 3, 0, 1, 4, 1, 4, 0, 0, 0, 2, 3, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 3, 3, 0, 3, 1, 0, 2, 4, 0, 0, 0, 1, 2, 2, 2, 4, 0, 4, 2, 4, 0, 1, 4, 1, 3, 1, 4, 2, 2, 4, 0, 0, 4, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 4, 1, 2, 2, 3, 3, 4, 0, 2, 1, 3, 1, 2, 1, 3, 3, 1, 4, 3, 2, 2, 1, 4, 4, 1, 1, 3, 4, 1, 4, 4, 4, 3, 0, 1, 2, 2, 2, 4, 0, 1, 0, 1, 2, 3, 3, 1, 2, 0, 1, 4, 0, 3, 4, 2, 1, 4, 0, 3, 4, 1, 1, 4, 3, 4, 3, 0, 3, 1, 2, 3, 3, 1, 1, 2, 4, 0, 4, 3, 1, 4, 1, 2, 0, 3, 0, 2, 4, 1, 2, 3, 0, 4, 1, 1, 4, 2, 3, 2, 0, 2, 0, 2, 4, 0, 0, 3, 0, 4, 4, 0, 4, 3, 0, 2, 3, 4, 2, 0, 1, 3, 0, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 3, 0, 3, 2, 4, 3, 4, 3, 3, 1, 3, 2, 2, 4, 4, 3, 1, 1, 4, 1, 3, 2, 3, 0, 4, 4, 3, 0, 4, 0, 1, 4, 3, 4, 2, 1, 1, 4, 0, 4, 3, 0, 2, 2, 0, 2, 4, 2, 1, 4, 0] pubkeycol1189 = [0, 0, 2, 4, 1, 1, 4, 3, 2, 4, 3, 3, 1, 3, 1, 2, 2, 2, 1, 4, 4, 4, 4, 4, 0, 2, 0, 3, 4, 3, 4, 1, 4, 1, 1, 4, 0, 2, 2, 0, 3, 0, 4, 3, 0, 0, 1, 4, 1, 2, 1, 0, 1, 4, 3, 0, 4, 1, 2, 1, 0, 3, 3, 3, 2, 1, 4, 0, 4, 4, 4, 3, 2, 0, 1, 0, 0, 1, 2, 4, 4, 0, 3, 0, 3, 3, 4, 4, 4, 1, 0, 3, 4, 3, 1, 4, 3, 4, 2, 4, 3, 1, 3, 4, 4, 2, 3, 3, 4, 2, 4, 4, 0, 0, 1, 3, 3, 2, 3, 0, 1, 0, 4, 3, 3, 4, 0, 3, 3, 4, 3, 1, 4, 1, 0, 4, 4, 3, 2, 1, 0, 4, 3, 2, 3, 4, 0, 4, 3, 1, 4, 2, 0, 1, 1, 1, 4, 3, 2, 2, 0, 1, 2, 1, 0, 3, 2, 4, 0, 3, 2, 1, 0, 3, 4, 3, 2, 0, 4, 4, 3, 3, 1, 2, 3, 4, 2, 3, 2, 2, 1, 4, 0, 3, 1, 3, 0, 1, 0, 1, 1, 3, 2, 4, 3, 0, 2, 0, 0, 0, 4, 3, 1, 4, 3, 2, 4, 3, 1, 0, 3, 0, 2, 3, 4, 0, 3, 0, 1, 4, 0, 3, 1, 0, 0, 1, 4, 2, 0, 4, 4, 1, 4, 1, 4, 3, 3, 2, 4, 2, 0, 2, 0, 0, 3, 3, 0, 4, 3, 1, 1, 4, 3, 4, 1, 3, 1, 3, 2, 3, 3, 4, 1, 3, 0, 1, 3, 3, 1, 0, 3, 2, 4, 2, 0, 1, 2, 3, 4, 0, 3, 1, 3, 1, 4, 3, 1, 4, 4, 0, 4, 2, 1, 4, 2, 4, 1, 0, 0, 1, 0, 1, 1, 4, 2, 1, 1, 2, 4, 2, 0, 3, 4, 3, 4, 1, 2, 2, 3, 1, 3, 2, 3, 3, 4, 0, 1, 2, 0, 4, 1, 0, 2, 1, 2, 0, 4, 1, 2, 2, 4, 1, 4, 4, 1, 0, 2, 4, 1, 0, 3, 1, 0, 3, 1, 4, 4, 1, 4, 2, 3, 3, 4, 1, 0, 0, 0, 0, 1, 3, 3, 3, 1, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 1, 4, 2, 3, 0, 1, 3, 0, 4, 2, 4, 3, 1, 1, 2, 3, 4, 1, 3, 1, 4, 1, 1, 3, 0, 4, 3, 1, 4, 1, 4, 3, 4, 3, 3, 4, 3, 1, 3, 4, 2, 2, 1, 1, 2, 4, 1, 0, 3, 4, 0, 3, 0, 3, 1, 4, 1, 3, 2, 0, 3, 0, 2, 3, 4, 1, 0, 1, 0, 0, 0, 3, 4, 3, 0, 3, 0, 1, 4, 0, 4, 3, 0, 0, 1, 1, 4] pubkeycol1190 = [3, 1, 4, 4, 0, 3, 2, 3, 2, 3, 4, 1, 0, 1, 4, 1, 3, 3, 1, 1, 0, 1, 0, 4, 3, 0, 2, 2, 1, 1, 0, 4, 2, 0, 3, 0, 3, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 3, 2, 4, 2, 0, 1, 1, 4, 1, 2, 0, 3, 4, 4, 0, 3, 4, 3, 2, 1, 3, 2, 3, 3, 0, 0, 2, 4, 2, 2, 3, 1, 1, 3, 3, 0, 2, 2, 4, 4, 1, 1, 2, 3, 4, 0, 4, 4, 4, 3, 3, 3, 1, 4, 4, 1, 2, 4, 3, 1, 1, 1, 3, 2, 1, 0, 4, 4, 1, 4, 3, 2, 0, 4, 4, 1, 3, 3, 3, 2, 3, 0, 0, 2, 3, 2, 4, 4, 4, 1, 2, 1, 4, 3, 4, 3, 2, 2, 3, 3, 4, 4, 2, 0, 4, 0, 1, 0, 3, 0, 4, 0, 3, 0, 4, 1, 1, 0, 1, 2, 3, 3, 3, 4, 0, 1, 3, 0, 2, 4, 2, 2, 3, 0, 3, 4, 1, 4, 3, 3, 4, 4, 3, 2, 3, 0, 0, 0, 4, 3, 4, 2, 0, 3, 4, 1, 3, 0, 4, 3, 1, 4, 0, 1, 3, 3, 1, 4, 4, 0, 2, 2, 0, 2, 4, 2, 4, 0, 3, 2, 2, 1, 4, 3, 4, 2, 4, 1, 0, 0, 1, 0, 3, 2, 2, 1, 0, 4, 4, 3, 0, 3, 3, 3, 1, 3, 0, 3, 1, 3, 0, 1, 1, 0, 1, 4, 0, 4, 3, 3, 3, 0, 3, 4, 3, 4, 1, 2, 4, 1, 4, 3, 2, 1, 4, 0, 0, 3, 4, 1, 2, 1, 1, 0, 1, 3, 3, 3, 1, 1, 1, 2, 1, 0, 0, 2, 0, 4, 1, 4, 1, 2, 1, 0, 2, 4, 0, 4, 3, 3, 1, 2, 0, 2, 1, 4, 2, 2, 4, 1, 3, 1, 4, 4, 3, 1, 3, 0, 2, 0, 3, 3, 1, 2, 4, 0, 1, 2, 4, 2, 2, 2, 2, 2, 1, 3, 0, 3, 4, 1, 1, 4, 1, 3, 0, 3, 0, 3, 3, 4, 0, 4, 4, 2, 0, 2, 2, 3, 3, 3, 4, 1, 3, 3, 2, 4, 2, 0, 1, 3, 3, 3, 1, 2, 3, 0, 2, 4, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 3, 1, 2, 2, 3, 3, 2, 2, 2, 3, 4, 1, 1, 1, 4, 3, 0, 3, 4, 1, 3, 0, 2, 0, 4, 1, 1, 4, 4, 4, 4, 3, 0, 2, 1, 3, 1, 0, 4, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 0, 4, 1, 0, 3, 0, 3, 4, 3, 4, 1, 4, 4, 0, 1, 4, 3, 1, 3, 3, 2, 3, 0, 1] pubkeycol1191 = [1, 4, 2, 4, 3, 3, 4, 2, 4, 4, 3, 2, 1, 0, 3, 0, 0, 3, 3, 2, 1, 0, 3, 2, 2, 3, 4, 2, 2, 2, 3, 1, 3, 1, 4, 1, 1, 4, 1, 3, 1, 0, 0, 4, 3, 2, 3, 4, 1, 2, 1, 4, 2, 3, 2, 1, 0, 3, 4, 3, 2, 3, 4, 1, 2, 3, 0, 1, 1, 4, 4, 1, 2, 4, 3, 4, 4, 3, 4, 2, 0, 4, 4, 0, 1, 2, 3, 2, 3, 2, 1, 0, 1, 0, 1, 4, 1, 0, 3, 1, 4, 2, 4, 3, 2, 0, 3, 2, 3, 2, 1, 0, 0, 3, 3, 1, 3, 1, 3, 3, 4, 1, 0, 1, 2, 2, 0, 1, 4, 1, 1, 1, 1, 3, 3, 3, 1, 2, 0, 4, 0, 0, 1, 4, 2, 2, 3, 3, 0, 1, 3, 2, 1, 0, 4, 0, 3, 1, 1, 2, 3, 4, 1, 4, 4, 2, 2, 3, 2, 3, 3, 1, 4, 4, 2, 3, 1, 0, 1, 3, 3, 2, 3, 1, 4, 0, 4, 0, 0, 4, 0, 2, 1, 1, 4, 2, 4, 1, 4, 4, 0, 0, 0, 3, 1, 3, 2, 3, 3, 1, 3, 0, 1, 0, 1, 2, 2, 4, 3, 1, 4, 4, 0, 3, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 3, 0, 2, 0, 3, 2, 1, 1, 4, 2, 1, 1, 2, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 1, 1, 3, 4, 1, 1, 3, 4, 2, 2, 4, 1, 4, 3, 1, 4, 3, 2, 0, 2, 2, 0, 3, 0, 3, 0, 0, 1, 2, 3, 1, 0, 3, 0, 2, 3, 2, 1, 3, 0, 0, 1, 3, 2, 2, 1, 1, 2, 4, 2, 2, 1, 3, 4, 2, 4, 0, 3, 4, 1, 3, 4, 2, 2, 2, 2, 3, 0, 1, 3, 4, 4, 2, 2, 4, 0, 2, 4, 1, 1, 4, 0, 0, 1, 0, 4, 4, 4, 2, 1, 2, 4, 0, 0, 2, 3, 0, 1, 3, 1, 1, 4, 0, 0, 2, 4, 4, 0, 3, 0, 2, 3, 3, 1, 1, 2, 3, 4, 4, 4, 3, 0, 3, 3, 1, 3, 0, 2, 2, 2, 3, 4, 4, 3, 3, 1, 2, 2, 0, 0, 1, 0, 2, 2, 3, 3, 4, 0, 2, 1, 1, 3, 0, 3, 0, 0, 4, 0, 3, 2, 2, 3, 2, 4, 0, 2, 4, 1, 1, 4, 4, 2, 1, 3, 4, 4, 1, 3, 4, 2, 2, 1, 0, 0, 4, 3, 3, 2, 3, 1, 3, 0, 3, 3, 1, 1, 4, 4, 1, 0, 3, 2, 3, 2, 0, 4, 4, 0, 1, 3, 2, 0, 3, 0, 0, 2, 2, 4, 2, 1] pubkeycol1192 = [3, 4, 4, 0, 0, 4, 3, 2, 4, 4, 1, 1, 2, 0, 3, 2, 1, 2, 3, 3, 4, 3, 3, 0, 2, 0, 0, 0, 4, 0, 3, 4, 4, 1, 1, 0, 1, 1, 1, 4, 1, 3, 4, 4, 0, 2, 1, 0, 4, 3, 2, 3, 2, 4, 1, 0, 2, 4, 3, 1, 2, 3, 1, 0, 0, 0, 3, 0, 4, 2, 1, 1, 3, 0, 1, 0, 2, 0, 4, 3, 2, 3, 1, 3, 2, 2, 4, 3, 0, 0, 0, 2, 2, 1, 4, 4, 2, 4, 1, 2, 0, 3, 2, 4, 3, 4, 1, 4, 1, 0, 4, 0, 3, 4, 3, 3, 0, 0, 4, 0, 4, 3, 4, 2, 4, 0, 3, 4, 4, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 3, 3, 1, 3, 1, 0, 1, 1, 3, 1, 0, 0, 4, 4, 0, 4, 3, 2, 4, 3, 2, 3, 1, 3, 1, 2, 2, 2, 0, 4, 0, 2, 0, 4, 1, 1, 1, 0, 3, 1, 4, 1, 3, 1, 2, 1, 2, 0, 0, 0, 2, 3, 3, 0, 4, 2, 0, 1, 1, 2, 0, 0, 2, 2, 4, 3, 2, 2, 2, 0, 4, 3, 0, 4, 0, 3, 3, 3, 1, 1, 1, 3, 2, 0, 0, 0, 1, 1, 0, 0, 2, 3, 3, 3, 2, 2, 0, 2, 2, 0, 4, 3, 1, 1, 4, 1, 2, 4, 0, 1, 4, 0, 1, 2, 2, 0, 3, 0, 1, 4, 4, 2, 3, 0, 2, 4, 2, 2, 3, 0, 1, 3, 2, 4, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 4, 2, 2, 0, 3, 1, 3, 1, 3, 4, 2, 1, 3, 1, 4, 0, 0, 1, 0, 3, 1, 2, 0, 0, 1, 2, 1, 1, 3, 4, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 4, 1, 2, 1, 3, 4, 3, 0, 3, 4, 4, 3, 3, 3, 4, 1, 2, 3, 3, 1, 0, 3, 4, 3, 4, 0, 2, 2, 1, 4, 1, 0, 2, 0, 3, 0, 4, 2, 1, 0, 2, 1, 3, 4, 4, 3, 2, 1, 2, 3, 2, 4, 1, 0, 1, 0, 0, 3, 4, 2, 2, 0, 0, 4, 0, 1, 0, 1, 2, 0, 3, 0, 2, 3, 4, 1, 0, 2, 0, 0, 4, 2, 4, 2, 4, 3, 1, 0, 0, 1, 1, 0, 1, 0, 4, 0, 2, 3, 4, 4, 2, 2, 2, 2, 1, 2, 1, 3, 3, 1, 3, 0, 1, 0, 3, 4, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 4, 2, 1, 0, 0, 0, 1, 1, 3, 0, 0, 1, 1, 4, 4, 4, 1, 1, 1, 4, 3, 0, 1] pubkeycol1193 = [4, 2, 0, 2, 1, 4, 0, 4, 0, 1, 2, 0, 3, 2, 1, 2, 2, 1, 2, 0, 2, 2, 3, 2, 2, 0, 1, 0, 1, 3, 3, 3, 2, 0, 0, 1, 3, 0, 1, 1, 2, 4, 1, 0, 2, 3, 4, 2, 0, 1, 2, 3, 2, 0, 1, 4, 1, 4, 1, 3, 4, 0, 2, 0, 1, 3, 1, 2, 3, 0, 1, 1, 2, 1, 0, 0, 0, 3, 2, 0, 2, 2, 3, 3, 2, 4, 0, 4, 0, 4, 3, 3, 4, 3, 1, 2, 4, 0, 0, 4, 4, 2, 3, 0, 1, 2, 0, 4, 1, 0, 2, 0, 2, 2, 2, 4, 0, 1, 2, 2, 0, 4, 4, 4, 3, 4, 2, 1, 0, 0, 3, 3, 4, 3, 4, 1, 0, 2, 1, 0, 4, 0, 2, 2, 0, 3, 1, 0, 3, 3, 4, 0, 4, 1, 1, 1, 3, 2, 2, 2, 3, 2, 0, 4, 2, 4, 4, 2, 2, 4, 2, 2, 0, 0, 2, 4, 0, 2, 1, 1, 2, 4, 4, 2, 1, 2, 3, 2, 4, 0, 4, 3, 3, 3, 2, 3, 1, 4, 1, 4, 3, 1, 3, 2, 3, 4, 3, 3, 2, 3, 4, 3, 1, 1, 3, 2, 2, 3, 2, 3, 3, 3, 0, 1, 0, 4, 3, 3, 1, 0, 4, 1, 2, 1, 4, 2, 3, 2, 4, 0, 0, 4, 4, 1, 2, 3, 2, 4, 3, 2, 4, 0, 2, 4, 3, 4, 1, 4, 0, 0, 3, 2, 0, 4, 3, 1, 4, 3, 3, 4, 3, 2, 3, 3, 2, 2, 1, 0, 2, 4, 3, 4, 1, 4, 3, 0, 0, 1, 2, 4, 4, 0, 2, 4, 4, 4, 3, 2, 1, 4, 0, 4, 2, 3, 2, 4, 4, 4, 0, 1, 1, 3, 1, 2, 1, 2, 4, 3, 2, 4, 4, 3, 0, 0, 2, 4, 3, 4, 4, 2, 3, 1, 1, 0, 2, 4, 1, 4, 0, 2, 2, 1, 3, 3, 0, 0, 4, 0, 1, 0, 2, 3, 2, 3, 0, 0, 0, 0, 2, 3, 4, 1, 4, 0, 3, 0, 1, 4, 4, 3, 2, 1, 2, 3, 4, 2, 0, 3, 1, 1, 1, 2, 3, 1, 0, 4, 4, 3, 1, 3, 0, 1, 4, 3, 2, 3, 2, 1, 4, 0, 4, 4, 0, 4, 3, 3, 2, 3, 2, 1, 2, 0, 4, 1, 0, 4, 4, 4, 3, 3, 3, 2, 2, 4, 3, 2, 0, 4, 3, 3, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 0, 3, 1, 1, 4, 3, 0, 0, 4, 3, 2, 3, 3, 0, 3, 1, 3, 3, 1, 2, 0, 2, 4, 1, 0, 0, 0, 2, 2, 4, 3, 4, 2, 2, 1, 1, 4, 3, 3] pubkeycol1194 = [1, 2, 2, 0, 0, 0, 3, 2, 2, 2, 0, 0, 2, 1, 3, 2, 2, 1, 0, 2, 3, 3, 2, 1, 4, 0, 0, 2, 0, 1, 3, 4, 0, 1, 1, 0, 4, 1, 1, 4, 2, 3, 4, 1, 4, 0, 1, 3, 1, 2, 3, 1, 4, 3, 0, 2, 2, 3, 2, 4, 4, 0, 4, 1, 3, 2, 1, 0, 3, 1, 3, 3, 0, 3, 0, 2, 2, 4, 3, 3, 3, 2, 4, 3, 3, 4, 3, 0, 3, 1, 2, 2, 4, 2, 0, 3, 2, 3, 0, 3, 4, 3, 0, 1, 4, 0, 0, 1, 3, 4, 3, 0, 1, 4, 0, 1, 0, 4, 2, 1, 4, 3, 1, 3, 2, 4, 3, 1, 1, 0, 0, 3, 4, 0, 3, 0, 1, 0, 3, 2, 4, 1, 0, 0, 2, 1, 0, 3, 3, 3, 1, 4, 3, 1, 1, 1, 1, 0, 2, 1, 2, 3, 4, 0, 0, 3, 2, 0, 1, 4, 3, 2, 2, 0, 0, 4, 0, 1, 3, 0, 0, 3, 0, 0, 2, 0, 3, 3, 2, 3, 3, 0, 3, 3, 0, 2, 1, 0, 4, 4, 4, 2, 0, 0, 4, 2, 3, 2, 4, 3, 1, 3, 4, 1, 3, 3, 4, 1, 0, 1, 3, 4, 0, 0, 4, 4, 1, 1, 2, 0, 2, 0, 0, 4, 2, 3, 4, 0, 4, 1, 4, 4, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 4, 2, 3, 0, 4, 0, 1, 4, 2, 4, 3, 4, 0, 0, 4, 4, 2, 1, 0, 3, 3, 4, 0, 1, 4, 3, 0, 1, 1, 1, 2, 3, 3, 0, 3, 1, 1, 2, 1, 4, 3, 0, 3, 0, 4, 4, 1, 0, 3, 0, 1, 2, 4, 3, 3, 4, 3, 4, 4, 3, 2, 4, 0, 4, 3, 2, 1, 0, 0, 1, 4, 0, 4, 3, 4, 2, 0, 4, 3, 1, 0, 4, 3, 1, 1, 0, 1, 3, 3, 2, 1, 4, 1, 1, 1, 1, 4, 4, 1, 4, 3, 2, 3, 0, 2, 2, 0, 2, 2, 4, 1, 1, 0, 0, 0, 1, 1, 4, 2, 0, 4, 2, 2, 0, 4, 2, 2, 3, 2, 4, 3, 1, 0, 0, 0, 3, 3, 2, 2, 0, 2, 4, 4, 1, 4, 2, 3, 1, 3, 0, 3, 4, 0, 1, 4, 1, 1, 2, 0, 2, 3, 4, 1, 0, 1, 1, 2, 0, 3, 1, 3, 3, 3, 0, 4, 2, 4, 1, 1, 0, 4, 3, 3, 2, 1, 2, 3, 3, 1, 0, 0, 4, 0, 1, 3, 1, 0, 2, 3, 2, 0, 4, 3, 1, 3, 3, 0, 2, 3, 0, 4, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 4] pubkeycol1195 = [4, 0, 1, 3, 0, 4, 4, 3, 0, 1, 4, 4, 0, 3, 3, 2, 0, 1, 2, 4, 0, 2, 1, 1, 1, 0, 1, 3, 4, 2, 3, 2, 0, 0, 4, 4, 3, 0, 3, 0, 4, 2, 2, 1, 0, 1, 4, 0, 3, 0, 2, 1, 0, 1, 0, 1, 0, 2, 4, 4, 4, 2, 1, 0, 3, 0, 2, 1, 4, 0, 2, 0, 2, 2, 0, 2, 2, 4, 1, 1, 4, 3, 0, 4, 1, 2, 1, 4, 1, 2, 2, 1, 4, 2, 0, 3, 1, 2, 0, 4, 4, 1, 1, 4, 0, 3, 3, 3, 2, 2, 2, 4, 2, 0, 3, 0, 3, 0, 4, 2, 2, 4, 4, 2, 1, 3, 0, 2, 0, 1, 4, 1, 3, 0, 2, 0, 0, 0, 1, 1, 4, 1, 3, 3, 0, 4, 0, 4, 0, 0, 1, 1, 3, 1, 3, 3, 4, 2, 2, 1, 3, 0, 2, 0, 1, 2, 1, 3, 1, 1, 3, 1, 0, 0, 4, 2, 4, 3, 3, 1, 4, 3, 2, 4, 3, 4, 1, 4, 1, 1, 1, 2, 3, 0, 3, 1, 4, 0, 1, 1, 1, 1, 3, 3, 4, 4, 1, 1, 2, 3, 4, 2, 2, 2, 4, 2, 1, 3, 0, 4, 4, 3, 4, 4, 4, 1, 2, 4, 0, 2, 3, 1, 4, 4, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 4, 3, 2, 2, 1, 3, 1, 2, 2, 4, 0, 3, 3, 4, 3, 3, 4, 4, 4, 0, 3, 4, 1, 3, 4, 2, 2, 4, 4, 0, 4, 2, 1, 4, 1, 0, 2, 1, 1, 2, 2, 1, 1, 4, 4, 2, 1, 4, 4, 4, 2, 2, 0, 3, 3, 2, 4, 3, 4, 4, 3, 4, 0, 3, 4, 1, 2, 2, 1, 3, 2, 2, 0, 0, 0, 0, 0, 2, 4, 0, 3, 2, 1, 0, 2, 1, 1, 4, 0, 1, 2, 2, 2, 4, 0, 0, 2, 2, 4, 0, 1, 2, 4, 1, 2, 1, 4, 3, 0, 2, 1, 4, 2, 0, 0, 3, 0, 1, 1, 4, 2, 2, 1, 0, 3, 3, 1, 4, 2, 0, 1, 0, 0, 4, 0, 3, 2, 0, 3, 4, 0, 4, 3, 3, 1, 1, 2, 3, 3, 3, 2, 1, 2, 3, 4, 1, 4, 1, 0, 0, 1, 1, 1, 2, 2, 3, 0, 0, 3, 1, 3, 4, 0, 2, 1, 4, 2, 1, 3, 2, 2, 1, 3, 2, 4, 4, 1, 3, 4, 3, 1, 4, 0, 2, 0, 3, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 3, 4, 1, 4, 2, 0, 3, 0, 4, 2, 3, 1, 4, 0, 2, 0, 0, 0, 3, 3, 4, 3, 4, 2, 1, 0, 0, 4] pubkeycol1196 = [3, 3, 2, 3, 0, 3, 1, 1, 2, 1, 3, 1, 1, 3, 0, 0, 4, 4, 0, 3, 2, 1, 2, 3, 0, 1, 4, 1, 4, 2, 2, 0, 3, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 4, 1, 4, 0, 1, 0, 2, 1, 3, 3, 0, 4, 4, 3, 4, 3, 0, 2, 1, 2, 0, 1, 3, 3, 4, 1, 1, 2, 2, 3, 1, 2, 1, 2, 2, 4, 4, 3, 2, 2, 0, 4, 1, 3, 2, 0, 3, 2, 0, 4, 4, 1, 4, 1, 2, 4, 1, 3, 2, 1, 3, 3, 3, 4, 3, 2, 4, 4, 4, 4, 0, 3, 1, 2, 1, 3, 4, 4, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 4, 1, 3, 3, 4, 3, 1, 2, 0, 0, 4, 4, 1, 1, 2, 4, 0, 1, 0, 3, 3, 3, 4, 4, 3, 2, 2, 3, 3, 0, 1, 3, 2, 3, 2, 4, 2, 2, 0, 2, 3, 4, 4, 2, 4, 4, 1, 2, 2, 1, 4, 3, 4, 3, 2, 2, 2, 3, 0, 0, 4, 3, 4, 3, 4, 3, 2, 0, 1, 0, 2, 1, 2, 1, 2, 3, 2, 0, 1, 2, 4, 0, 1, 2, 0, 1, 0, 0, 3, 2, 4, 2, 4, 3, 3, 1, 1, 4, 4, 0, 2, 0, 4, 2, 4, 2, 1, 4, 0, 2, 2, 3, 0, 4, 2, 2, 3, 2, 2, 3, 0, 2, 4, 4, 4, 3, 1, 2, 2, 3, 3, 1, 0, 3, 2, 1, 2, 0, 3, 0, 1, 0, 4, 3, 1, 4, 0, 1, 3, 2, 2, 2, 4, 4, 4, 2, 2, 4, 3, 4, 4, 4, 0, 1, 2, 3, 0, 0, 1, 3, 3, 4, 3, 0, 2, 1, 0, 2, 2, 2, 0, 4, 0, 1, 0, 0, 3, 4, 0, 4, 3, 4, 3, 3, 3, 2, 0, 2, 2, 4, 1, 3, 3, 0, 2, 4, 2, 4, 0, 3, 0, 3, 2, 4, 3, 1, 1, 1, 2, 4, 0, 3, 1, 0, 0, 4, 4, 4, 0, 4, 1, 0, 3, 2, 3, 3, 2, 2, 1, 4, 1, 0, 0, 2, 0, 1, 2, 2, 3, 2, 3, 4, 4, 4, 0, 1, 4, 0, 3, 4, 1, 1, 2, 0, 1, 3, 4, 2, 4, 0, 4, 4, 3, 0, 4, 3, 3, 4, 2, 4, 0, 0, 3, 1, 2, 0, 0, 0, 4, 4, 0, 2, 4, 0, 3, 3, 3, 2, 3, 0, 2, 3, 4, 3, 0, 1, 2, 3, 4, 4, 1, 3, 3, 3, 4, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 0, 0, 0, 4, 3, 3] pubkeycol1197 = [4, 4, 1, 4, 3, 1, 3, 3, 0, 1, 3, 1, 2, 2, 3, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 3, 1, 1, 1, 1, 3, 1, 2, 1, 2, 2, 3, 1, 0, 4, 4, 0, 3, 2, 0, 2, 2, 1, 3, 3, 2, 3, 2, 2, 0, 4, 1, 1, 4, 0, 1, 3, 2, 3, 2, 2, 0, 1, 2, 2, 1, 0, 2, 3, 2, 3, 1, 2, 0, 4, 1, 2, 4, 4, 0, 3, 0, 4, 1, 1, 2, 2, 3, 2, 0, 2, 1, 2, 4, 2, 3, 4, 4, 3, 4, 1, 1, 4, 4, 0, 3, 2, 3, 0, 3, 3, 4, 3, 2, 4, 0, 2, 4, 4, 4, 2, 3, 1, 3, 4, 0, 0, 0, 4, 0, 4, 0, 3, 3, 0, 2, 0, 1, 1, 4, 3, 2, 2, 0, 0, 1, 3, 1, 4, 4, 2, 3, 4, 0, 1, 3, 0, 2, 3, 4, 3, 0, 3, 1, 0, 0, 2, 0, 3, 2, 4, 0, 3, 4, 2, 2, 3, 2, 1, 4, 0, 4, 0, 4, 0, 1, 2, 4, 2, 3, 2, 2, 1, 1, 2, 3, 0, 0, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 4, 0, 3, 4, 2, 0, 4, 1, 4, 1, 2, 3, 4, 3, 4, 4, 1, 3, 0, 3, 3, 0, 0, 4, 4, 4, 3, 1, 3, 0, 4, 4, 4, 2, 3, 3, 3, 0, 2, 0, 3, 2, 0, 2, 1, 1, 3, 2, 3, 1, 1, 2, 1, 4, 1, 1, 2, 2, 0, 0, 4, 3, 0, 2, 0, 3, 1, 4, 0, 2, 4, 4, 0, 2, 0, 2, 2, 4, 2, 1, 1, 1, 2, 3, 4, 1, 2, 0, 3, 1, 4, 3, 4, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 4, 2, 1, 1, 0, 4, 4, 3, 2, 1, 0, 4, 3, 1, 1, 4, 3, 1, 0, 1, 4, 0, 1, 3, 4, 2, 1, 2, 1, 0, 2, 1, 4, 0, 4, 3, 2, 4, 2, 1, 3, 0, 4, 2, 0, 4, 4, 4, 3, 3, 4, 0, 4, 3, 0, 4, 2, 0, 1, 0, 1, 3, 1, 1, 3, 2, 2, 1, 3, 2, 3, 4, 3, 0, 3, 2, 4, 3, 4, 0, 0, 3, 1, 1, 1, 2, 1, 0, 4, 0, 1, 4, 4, 1, 3, 2, 3, 0, 0, 2, 0, 0, 4, 2, 1, 1, 4, 1, 2, 2, 0, 2, 3, 3, 3, 4, 3, 4, 3, 3, 1, 3, 0, 3, 1, 1, 3, 4, 3, 0, 0, 2, 4, 3, 4, 4, 3, 0, 1, 2, 2, 1, 1, 2, 4, 2, 3, 2, 0, 2, 0, 4, 3, 4, 1, 3, 3, 3, 0, 3] pubkeycol1198 = [0, 1, 0, 2, 0, 2, 4, 3, 2, 1, 4, 0, 4, 4, 3, 4, 2, 2, 4, 1, 4, 4, 4, 3, 2, 0, 3, 3, 2, 3, 1, 3, 1, 4, 2, 3, 3, 4, 3, 1, 3, 4, 2, 1, 4, 3, 4, 4, 0, 4, 3, 1, 3, 4, 0, 0, 2, 3, 1, 3, 4, 3, 1, 4, 3, 1, 3, 3, 2, 2, 4, 3, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 4, 4, 4, 4, 0, 0, 4, 0, 2, 3, 2, 3, 0, 0, 1, 4, 0, 2, 1, 0, 4, 4, 0, 0, 2, 3, 0, 2, 0, 1, 2, 0, 4, 0, 4, 1, 2, 2, 3, 1, 1, 0, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 3, 0, 0, 1, 4, 0, 3, 0, 1, 3, 4, 2, 1, 1, 1, 0, 1, 4, 4, 2, 1, 3, 4, 3, 2, 3, 1, 1, 0, 4, 3, 2, 2, 1, 1, 4, 2, 1, 2, 3, 4, 2, 3, 3, 0, 1, 1, 1, 3, 4, 0, 3, 2, 0, 4, 4, 2, 0, 0, 3, 3, 3, 0, 3, 3, 4, 3, 4, 0, 1, 1, 3, 4, 2, 3, 2, 2, 3, 2, 1, 1, 1, 1, 4, 1, 2, 3, 1, 2, 0, 0, 3, 1, 1, 3, 3, 0, 0, 4, 2, 0, 2, 4, 3, 2, 3, 2, 0, 0, 3, 3, 2, 1, 3, 0, 0, 2, 4, 2, 2, 1, 0, 2, 3, 3, 4, 4, 2, 4, 1, 4, 0, 1, 2, 4, 1, 4, 0, 4, 1, 2, 1, 1, 3, 1, 1, 4, 4, 0, 3, 4, 3, 4, 4, 1, 3, 3, 1, 1, 3, 1, 3, 1, 4, 2, 1, 1, 1, 4, 1, 2, 4, 3, 2, 1, 0, 2, 4, 0, 4, 4, 1, 2, 4, 3, 2, 1, 0, 2, 2, 4, 2, 0, 2, 4, 4, 0, 4, 4, 4, 1, 2, 3, 4, 0, 1, 0, 3, 0, 1, 1, 3, 2, 1, 4, 2, 4, 3, 0, 3, 2, 2, 2, 1, 4, 4, 1, 3, 0, 3, 0, 3, 1, 2, 4, 2, 0, 0, 2, 4, 0, 4, 3, 4, 2, 3, 4, 0, 2, 2, 1, 1, 2, 0, 4, 2, 1, 2, 1, 3, 2, 2, 1, 3, 3, 2, 3, 3, 2, 4, 4, 1, 4, 2, 1, 1, 0, 4, 0, 4, 2, 3, 4, 1, 0, 0, 4, 2, 0, 2, 0, 3, 0, 1, 1, 4, 4, 2, 1, 1, 1, 1, 0, 4, 3, 2, 0, 0, 4, 4, 3, 3, 3, 1, 3, 3, 2, 4, 2, 3, 3, 2, 2, 4, 4, 4, 2, 4, 2, 3, 3, 2, 2, 0, 0, 1, 1, 1, 1, 0, 4, 0, 4, 4, 2, 0] pubkeycol1199 = [0, 1, 1, 0, 0, 1, 0, 4, 4, 3, 0, 2, 2, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 1, 2, 4, 2, 3, 3, 1, 0, 4, 3, 2, 4, 0, 2, 4, 1, 4, 1, 1, 2, 3, 2, 2, 1, 0, 0, 4, 2, 3, 0, 3, 3, 1, 2, 1, 2, 4, 0, 0, 3, 4, 4, 1, 2, 4, 1, 4, 2, 1, 3, 4, 3, 1, 0, 1, 0, 3, 0, 3, 1, 3, 0, 3, 1, 3, 4, 4, 3, 3, 2, 1, 3, 4, 4, 3, 1, 2, 3, 3, 2, 4, 3, 4, 3, 2, 1, 2, 0, 4, 1, 4, 0, 2, 1, 0, 4, 3, 0, 4, 0, 0, 2, 0, 4, 4, 0, 3, 4, 4, 3, 3, 4, 4, 1, 3, 1, 4, 0, 2, 0, 2, 1, 0, 3, 4, 0, 3, 2, 3, 0, 0, 4, 1, 0, 4, 3, 2, 3, 2, 3, 2, 1, 0, 2, 4, 2, 0, 1, 2, 1, 4, 3, 1, 1, 0, 3, 4, 4, 2, 1, 0, 2, 4, 2, 1, 2, 0, 2, 4, 0, 0, 4, 0, 1, 1, 0, 2, 3, 4, 4, 0, 0, 3, 0, 4, 4, 1, 4, 2, 0, 4, 3, 0, 1, 2, 3, 3, 3, 3, 4, 4, 0, 4, 2, 0, 1, 4, 3, 1, 4, 4, 0, 0, 1, 2, 4, 0, 0, 1, 3, 1, 4, 2, 1, 4, 1, 1, 3, 4, 1, 0, 1, 1, 1, 1, 4, 1, 1, 2, 2, 2, 4, 2, 3, 0, 3, 0, 1, 3, 1, 1, 4, 2, 0, 2, 4, 0, 0, 3, 2, 1, 3, 2, 4, 4, 2, 2, 1, 4, 2, 4, 2, 2, 1, 3, 1, 4, 1, 3, 3, 3, 0, 2, 4, 0, 0, 0, 2, 2, 0, 4, 0, 1, 2, 3, 2, 1, 3, 2, 0, 1, 3, 1, 2, 4, 3, 0, 0, 0, 1, 2, 0, 2, 0, 3, 3, 2, 4, 1, 1, 4, 3, 0, 0, 2, 4, 0, 2, 1, 0, 1, 1, 2, 3, 4, 0, 0, 4, 4, 0, 4, 1, 0, 1, 0, 3, 1, 0, 3, 1, 0, 2, 1, 4, 3, 4, 2, 2, 1, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 0, 4, 2, 1, 2, 4, 0, 1, 0, 1, 2, 3, 3, 2, 4, 4, 4, 2, 1, 1, 4, 2, 3, 1, 4, 1, 0, 2, 2, 4, 3, 0, 0, 4, 3, 3, 0, 1, 3, 2, 3, 3, 0, 1, 1, 4, 0, 2, 1, 1, 0, 1, 3, 2, 3, 3, 0, 2, 3, 3, 0, 4, 2, 2, 1, 3, 3, 2, 2, 3, 0, 2, 4, 1, 4, 3, 3, 2, 4, 3, 2, 3, 1, 2, 2, 0, 2, 0] pubkeycol1200 = [0, 1, 4, 0, 4, 1, 2, 2, 3, 4, 4, 0, 4, 4, 2, 3, 1, 3, 0, 0, 1, 2, 2, 0, 0, 4, 3, 2, 1, 0, 1, 4, 0, 2, 2, 4, 1, 4, 0, 4, 0, 4, 4, 0, 1, 2, 1, 1, 1, 4, 3, 1, 3, 2, 3, 2, 4, 0, 1, 4, 4, 1, 3, 4, 2, 0, 0, 4, 4, 0, 3, 2, 4, 3, 2, 1, 2, 1, 0, 0, 3, 3, 4, 4, 0, 3, 0, 4, 2, 0, 3, 4, 0, 2, 4, 0, 2, 4, 4, 1, 0, 3, 3, 3, 2, 4, 4, 1, 2, 4, 0, 1, 4, 0, 3, 2, 0, 2, 4, 3, 2, 3, 3, 1, 1, 1, 3, 4, 0, 1, 0, 4, 4, 0, 3, 1, 3, 4, 2, 2, 2, 1, 1, 2, 0, 2, 0, 3, 1, 2, 4, 4, 1, 1, 3, 2, 2, 2, 2, 1, 3, 1, 2, 4, 3, 4, 2, 4, 2, 1, 1, 0, 3, 2, 0, 0, 2, 2, 3, 0, 3, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 3, 0, 4, 1, 1, 3, 1, 4, 4, 4, 0, 0, 1, 0, 3, 2, 4, 0, 2, 3, 4, 1, 2, 3, 3, 1, 2, 2, 4, 4, 0, 2, 3, 1, 0, 0, 3, 0, 1, 2, 0, 3, 4, 3, 4, 1, 4, 3, 3, 4, 4, 4, 3, 2, 0, 0, 1, 4, 1, 0, 2, 3, 4, 4, 0, 3, 3, 1, 1, 3, 1, 2, 4, 1, 4, 0, 0, 2, 3, 2, 3, 4, 4, 2, 1, 4, 1, 3, 1, 0, 0, 3, 3, 1, 0, 1, 1, 3, 2, 2, 4, 0, 3, 2, 4, 2, 1, 3, 4, 1, 4, 0, 3, 3, 3, 0, 1, 4, 2, 1, 2, 0, 1, 0, 3, 0, 4, 4, 1, 0, 4, 3, 1, 3, 0, 1, 4, 4, 3, 2, 3, 3, 0, 0, 2, 4, 4, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 0, 0, 1, 3, 2, 1, 4, 1, 3, 4, 3, 0, 3, 3, 4, 4, 1, 2, 0, 4, 2, 4, 3, 4, 3, 2, 0, 3, 2, 2, 1, 0, 3, 1, 2, 1, 0, 4, 0, 2, 0, 1, 0, 4, 2, 4, 0, 3, 2, 3, 2, 4, 3, 2, 1, 2, 0, 4, 3, 4, 0, 2, 0, 3, 2, 0, 4, 3, 0, 1, 2, 3, 1, 0, 4, 1, 4, 1, 1, 2, 4, 3, 4, 3, 2, 4, 1, 0, 4, 3, 1, 2, 1, 4, 1, 0, 1, 3, 4, 1, 0, 2, 0, 2, 3, 2, 1, 4, 3, 1, 4, 4, 2, 2, 2, 0, 4, 4, 1, 4, 1, 0, 2, 1, 2, 4, 3, 4, 1, 2, 1, 3] pubkeycol1201 = [2, 0, 0, 4, 4, 2, 1, 3, 1, 4, 0, 4, 2, 4, 1, 3, 3, 3, 3, 1, 3, 4, 2, 0, 1, 3, 0, 1, 0, 3, 3, 4, 1, 3, 0, 0, 4, 3, 4, 0, 4, 4, 3, 1, 4, 3, 0, 1, 4, 3, 0, 4, 1, 1, 0, 1, 2, 2, 0, 1, 4, 0, 4, 0, 2, 1, 0, 1, 4, 3, 4, 0, 1, 1, 2, 0, 3, 3, 2, 4, 1, 0, 1, 4, 1, 1, 3, 4, 2, 4, 2, 0, 4, 4, 4, 0, 3, 4, 4, 4, 2, 1, 2, 1, 4, 4, 1, 1, 3, 3, 4, 1, 1, 4, 0, 2, 4, 2, 1, 1, 0, 0, 3, 3, 2, 3, 1, 2, 0, 4, 1, 3, 1, 2, 0, 4, 0, 1, 0, 3, 3, 3, 4, 2, 4, 4, 3, 3, 4, 4, 2, 3, 4, 1, 0, 2, 2, 4, 4, 3, 1, 2, 1, 1, 2, 2, 0, 1, 4, 0, 0, 0, 0, 2, 4, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 4, 4, 2, 4, 3, 1, 4, 0, 0, 0, 2, 2, 2, 3, 4, 4, 0, 2, 0, 4, 3, 2, 4, 0, 2, 3, 2, 1, 3, 1, 0, 0, 0, 2, 4, 0, 0, 4, 4, 4, 3, 1, 1, 0, 4, 1, 1, 0, 1, 2, 1, 3, 3, 0, 2, 3, 3, 2, 1, 2, 1, 4, 1, 3, 4, 2, 1, 4, 3, 2, 4, 3, 4, 3, 4, 1, 4, 0, 4, 3, 3, 0, 2, 3, 1, 4, 2, 1, 1, 1, 3, 4, 3, 2, 4, 1, 0, 4, 0, 3, 3, 2, 0, 1, 4, 1, 4, 2, 0, 1, 0, 4, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 3, 4, 2, 3, 1, 4, 2, 1, 4, 2, 4, 0, 2, 4, 1, 3, 2, 4, 4, 2, 0, 4, 1, 3, 4, 2, 3, 3, 2, 3, 0, 3, 4, 0, 4, 3, 2, 4, 1, 3, 0, 3, 1, 3, 2, 4, 1, 4, 1, 3, 0, 2, 3, 2, 0, 1, 2, 1, 1, 4, 3, 4, 1, 0, 4, 0, 4, 1, 3, 3, 4, 1, 4, 0, 3, 1, 2, 3, 0, 3, 4, 3, 4, 0, 0, 3, 2, 1, 3, 0, 1, 1, 0, 1, 1, 2, 1, 4, 1, 0, 4, 0, 0, 0, 4, 2, 0, 3, 4, 4, 3, 2, 4, 1, 2, 4, 1, 4, 4, 1, 1, 4, 2, 0, 2, 3, 3, 3, 4, 4, 4, 0, 0, 2, 0, 2, 0, 4, 2, 1, 4, 0, 3, 2, 2, 2, 3, 1, 1, 2, 4, 2, 4, 1, 2, 4, 3, 4, 4, 3, 4, 1, 1, 1, 0, 2, 0] pubkeycol1202 = [0, 1, 2, 4, 3, 1, 4, 4, 1, 3, 2, 2, 1, 4, 3, 1, 2, 0, 1, 4, 4, 0, 3, 0, 0, 2, 3, 3, 2, 2, 0, 0, 4, 0, 0, 3, 1, 3, 3, 2, 2, 3, 3, 2, 3, 3, 1, 1, 4, 4, 3, 3, 2, 2, 4, 0, 2, 0, 0, 1, 4, 1, 4, 3, 2, 1, 4, 1, 4, 4, 4, 2, 0, 4, 3, 1, 1, 3, 1, 2, 1, 1, 4, 2, 1, 3, 2, 0, 1, 1, 2, 0, 1, 2, 0, 4, 2, 1, 3, 3, 4, 2, 1, 3, 2, 2, 1, 4, 3, 1, 3, 3, 2, 4, 3, 3, 1, 1, 2, 1, 1, 4, 2, 0, 3, 3, 4, 4, 0, 2, 4, 0, 3, 1, 0, 1, 1, 2, 4, 2, 3, 4, 4, 2, 1, 1, 1, 4, 3, 0, 4, 4, 1, 1, 0, 2, 3, 0, 3, 0, 4, 2, 1, 3, 3, 3, 2, 0, 3, 3, 2, 0, 4, 3, 2, 0, 3, 2, 0, 2, 1, 3, 4, 4, 2, 1, 0, 2, 1, 0, 0, 3, 3, 1, 2, 2, 4, 2, 4, 3, 3, 0, 1, 0, 2, 4, 2, 0, 0, 3, 3, 2, 4, 3, 3, 0, 4, 0, 3, 0, 0, 1, 0, 4, 4, 1, 3, 3, 2, 3, 0, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 3, 0, 2, 0, 3, 1, 2, 2, 0, 4, 1, 2, 4, 0, 4, 2, 3, 4, 3, 4, 0, 0, 3, 0, 2, 2, 0, 0, 1, 0, 4, 1, 4, 1, 4, 1, 4, 4, 2, 0, 4, 1, 1, 1, 2, 3, 1, 4, 4, 1, 0, 1, 1, 2, 0, 1, 2, 3, 3, 4, 1, 1, 3, 2, 2, 1, 2, 3, 3, 4, 4, 4, 0, 2, 2, 4, 1, 3, 0, 3, 1, 4, 2, 0, 1, 4, 3, 1, 2, 4, 3, 2, 1, 2, 0, 0, 4, 2, 1, 3, 0, 2, 3, 2, 0, 2, 1, 0, 1, 2, 4, 3, 0, 2, 2, 4, 3, 2, 2, 2, 3, 0, 3, 2, 2, 0, 2, 4, 4, 1, 4, 0, 3, 0, 2, 0, 4, 4, 1, 0, 3, 3, 1, 0, 2, 0, 2, 2, 1, 4, 0, 2, 4, 3, 3, 0, 1, 0, 2, 4, 3, 2, 1, 4, 0, 0, 3, 3, 1, 4, 4, 3, 2, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 2, 3, 4, 1, 4, 1, 3, 4, 0, 3, 1, 0, 1, 0, 2, 2, 3, 4, 1, 2, 0, 2, 3, 1, 3, 3, 0, 3, 3, 3, 0, 4, 2, 3, 4, 0, 3, 1, 4, 4, 0, 4, 1, 2, 0, 0, 2, 0, 0, 4, 0, 4, 3, 1, 4, 4] pubkeycol1203 = [3, 1, 2, 3, 2, 1, 1, 0, 0, 2, 3, 4, 2, 3, 0, 0, 2, 0, 1, 3, 2, 4, 0, 3, 2, 2, 3, 2, 0, 0, 4, 1, 4, 4, 2, 2, 3, 2, 2, 0, 0, 2, 3, 0, 1, 4, 2, 0, 4, 1, 4, 2, 0, 3, 0, 1, 0, 2, 1, 2, 3, 4, 0, 2, 3, 0, 0, 0, 1, 2, 1, 0, 3, 2, 1, 4, 4, 3, 3, 1, 1, 2, 1, 4, 2, 3, 2, 4, 3, 4, 1, 0, 2, 3, 4, 0, 0, 0, 1, 1, 4, 4, 3, 2, 1, 4, 1, 2, 2, 4, 3, 4, 0, 3, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 3, 0, 2, 2, 1, 0, 3, 0, 0, 0, 0, 4, 1, 3, 4, 0, 1, 3, 1, 0, 4, 4, 1, 4, 3, 3, 4, 2, 3, 4, 2, 4, 4, 0, 3, 1, 3, 3, 4, 1, 2, 4, 3, 1, 3, 3, 3, 0, 2, 3, 4, 0, 1, 1, 4, 2, 3, 0, 2, 3, 2, 4, 3, 3, 3, 4, 4, 0, 2, 0, 0, 0, 2, 4, 3, 1, 1, 2, 3, 1, 0, 2, 4, 1, 4, 2, 4, 0, 3, 4, 4, 1, 0, 1, 2, 1, 4, 4, 1, 0, 1, 3, 3, 1, 4, 0, 2, 0, 1, 2, 3, 3, 0, 3, 2, 4, 2, 1, 2, 0, 2, 2, 0, 4, 2, 2, 2, 3, 2, 1, 1, 4, 0, 2, 3, 0, 1, 1, 1, 4, 2, 4, 1, 4, 1, 1, 2, 1, 3, 4, 3, 1, 3, 4, 1, 0, 1, 1, 3, 4, 0, 4, 0, 1, 3, 2, 2, 4, 0, 2, 4, 3, 4, 3, 0, 4, 0, 2, 4, 2, 3, 1, 4, 2, 2, 1, 0, 0, 0, 0, 4, 4, 3, 3, 1, 2, 3, 4, 4, 4, 1, 2, 4, 3, 4, 1, 1, 3, 3, 4, 0, 1, 0, 0, 3, 1, 1, 4, 1, 3, 0, 1, 0, 1, 2, 3, 4, 1, 3, 4, 3, 0, 1, 2, 2, 4, 4, 2, 3, 3, 2, 3, 2, 0, 2, 2, 1, 3, 4, 1, 3, 4, 4, 2, 4, 3, 2, 3, 3, 3, 3, 2, 1, 0, 0, 2, 1, 3, 2, 1, 1, 4, 4, 0, 3, 0, 3, 0, 2, 1, 1, 2, 4, 4, 2, 2, 0, 1, 0, 3, 0, 3, 2, 1, 3, 4, 3, 4, 3, 4, 2, 1, 2, 0, 0, 1, 4, 0, 3, 2, 2, 1, 4, 2, 3, 3, 1, 3, 1, 4, 4, 0, 4, 4, 1, 1, 0, 3, 0, 1, 0, 0, 2, 4, 3, 0, 0, 0, 3, 2, 3, 0, 0, 1, 3, 4, 4, 2, 2, 4] pubkeycol1204 = [1, 3, 3, 0, 0, 2, 2, 2, 4, 1, 3, 0, 1, 0, 3, 4, 2, 3, 3, 4, 3, 0, 4, 2, 3, 3, 3, 4, 1, 4, 3, 2, 3, 1, 1, 4, 2, 0, 3, 0, 3, 0, 1, 4, 4, 4, 3, 0, 4, 3, 3, 0, 0, 3, 3, 0, 0, 1, 1, 0, 4, 0, 4, 0, 2, 2, 3, 2, 1, 2, 4, 4, 0, 4, 0, 4, 2, 1, 3, 2, 2, 1, 1, 2, 1, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 3, 4, 1, 1, 3, 4, 4, 2, 3, 0, 2, 1, 0, 3, 0, 4, 3, 3, 2, 2, 2, 2, 2, 1, 0, 4, 0, 3, 2, 4, 1, 4, 3, 1, 4, 3, 0, 4, 3, 3, 0, 3, 1, 0, 2, 1, 4, 0, 0, 4, 4, 4, 0, 4, 3, 4, 1, 4, 4, 0, 0, 4, 2, 2, 2, 4, 3, 1, 2, 1, 3, 1, 0, 0, 0, 4, 3, 3, 0, 2, 1, 0, 3, 3, 4, 1, 0, 0, 0, 2, 3, 3, 1, 2, 4, 4, 3, 3, 4, 2, 2, 2, 0, 0, 4, 2, 1, 4, 1, 4, 3, 3, 3, 2, 3, 2, 3, 4, 3, 0, 1, 0, 4, 3, 2, 4, 1, 4, 2, 2, 1, 1, 1, 1, 4, 1, 2, 1, 4, 1, 0, 2, 2, 2, 3, 4, 4, 2, 3, 2, 3, 0, 4, 1, 2, 1, 4, 1, 2, 2, 3, 2, 2, 3, 1, 0, 4, 4, 1, 1, 2, 1, 1, 0, 4, 3, 2, 3, 2, 4, 2, 0, 0, 3, 3, 0, 1, 3, 4, 3, 2, 2, 4, 0, 3, 2, 0, 3, 1, 2, 0, 0, 1, 3, 2, 0, 2, 0, 1, 0, 3, 1, 1, 0, 3, 3, 1, 0, 1, 4, 3, 4, 3, 4, 4, 4, 3, 3, 2, 4, 1, 4, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 3, 1, 2, 0, 1, 4, 0, 3, 3, 4, 4, 3, 0, 1, 3, 0, 2, 3, 3, 1, 0, 3, 0, 0, 0, 0, 0, 0, 3, 2, 3, 2, 0, 0, 0, 2, 0, 0, 3, 2, 3, 0, 1, 1, 2, 2, 0, 3, 4, 4, 4, 2, 0, 0, 2, 2, 1, 0, 2, 1, 4, 4, 2, 2, 2, 2, 4, 3, 0, 4, 4, 2, 1, 1, 3, 4, 2, 3, 4, 2, 4, 3, 4, 0, 4, 3, 1, 0, 4, 2, 0, 0, 2, 0, 2, 1, 2, 4, 0, 3, 4, 3, 1, 2, 2, 3, 2, 4, 3, 4, 1, 3, 4, 1, 4, 4, 2, 1, 0, 4, 1, 1, 0, 1, 2, 2, 3, 1, 2, 1, 0, 2, 3, 4, 0, 1, 1, 0, 4, 2, 2] pubkeycol1205 = [0, 4, 2, 2, 1, 3, 0, 4, 2, 1, 1, 0, 1, 1, 2, 3, 1, 4, 1, 2, 2, 0, 2, 3, 3, 4, 3, 4, 4, 4, 0, 0, 4, 0, 4, 2, 3, 0, 1, 1, 1, 3, 3, 1, 3, 2, 2, 2, 1, 2, 0, 0, 0, 3, 1, 2, 4, 4, 2, 4, 0, 3, 1, 4, 0, 1, 2, 1, 0, 1, 4, 2, 2, 2, 1, 1, 1, 2, 4, 3, 1, 0, 2, 2, 2, 3, 1, 1, 1, 4, 4, 3, 1, 2, 2, 2, 4, 3, 3, 2, 3, 0, 3, 4, 1, 2, 4, 0, 2, 2, 3, 2, 1, 4, 4, 0, 2, 3, 1, 3, 2, 3, 2, 1, 4, 2, 4, 3, 3, 2, 4, 3, 1, 3, 1, 1, 1, 4, 2, 1, 4, 0, 1, 0, 0, 2, 2, 4, 2, 1, 3, 4, 4, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 0, 1, 4, 0, 1, 4, 1, 3, 0, 2, 0, 1, 4, 0, 2, 3, 1, 4, 0, 2, 2, 4, 1, 3, 1, 0, 4, 3, 0, 0, 3, 1, 0, 3, 4, 0, 2, 3, 1, 3, 1, 3, 0, 2, 2, 3, 3, 1, 4, 0, 3, 0, 3, 0, 4, 1, 4, 4, 0, 3, 1, 2, 3, 3, 1, 0, 4, 2, 1, 4, 3, 2, 1, 0, 4, 1, 1, 3, 3, 0, 3, 0, 3, 1, 0, 1, 1, 3, 4, 1, 0, 3, 3, 4, 2, 1, 1, 1, 1, 0, 2, 3, 2, 0, 4, 2, 4, 3, 1, 3, 3, 0, 3, 3, 2, 2, 3, 3, 2, 3, 1, 2, 3, 4, 3, 1, 0, 3, 2, 4, 2, 0, 4, 3, 1, 2, 1, 0, 1, 2, 3, 1, 0, 4, 4, 1, 4, 1, 3, 2, 3, 2, 2, 2, 2, 0, 2, 3, 0, 2, 2, 2, 4, 2, 2, 1, 4, 3, 2, 4, 1, 2, 4, 2, 3, 0, 3, 1, 1, 2, 3, 3, 1, 2, 0, 1, 3, 1, 2, 1, 0, 4, 1, 3, 4, 1, 4, 1, 1, 4, 1, 3, 4, 3, 4, 2, 1, 0, 4, 1, 0, 1, 1, 3, 4, 1, 3, 2, 2, 2, 2, 1, 1, 2, 0, 3, 0, 0, 2, 4, 4, 0, 1, 0, 2, 3, 3, 0, 3, 2, 4, 4, 4, 2, 2, 2, 1, 4, 1, 0, 4, 3, 3, 2, 4, 0, 1, 1, 3, 3, 2, 0, 2, 3, 3, 3, 4, 2, 3, 4, 2, 2, 4, 4, 0, 1, 3, 0, 1, 3, 2, 3, 1, 1, 3, 1, 0, 1, 4, 3, 3, 4, 1, 2, 0, 1, 3, 0, 2, 4, 4, 2, 0, 3, 0, 2, 1, 1, 4, 0, 1, 2] pubkeycol1206 = [1, 2, 2, 0, 4, 3, 4, 4, 0, 2, 3, 0, 0, 1, 0, 4, 4, 4, 3, 1, 1, 3, 0, 1, 0, 2, 4, 3, 3, 2, 4, 2, 2, 3, 1, 4, 0, 3, 1, 3, 3, 0, 0, 4, 1, 1, 4, 0, 3, 4, 0, 3, 0, 0, 1, 4, 1, 4, 1, 0, 0, 3, 3, 1, 2, 0, 4, 2, 2, 2, 2, 1, 3, 3, 4, 0, 3, 3, 1, 1, 3, 0, 3, 0, 1, 1, 1, 2, 4, 2, 4, 0, 3, 0, 2, 2, 2, 4, 4, 2, 1, 2, 2, 2, 1, 1, 4, 3, 3, 3, 3, 0, 0, 3, 0, 3, 4, 4, 2, 4, 3, 4, 3, 4, 2, 1, 1, 0, 0, 0, 0, 2, 4, 3, 1, 0, 2, 3, 2, 2, 0, 3, 0, 0, 3, 1, 3, 0, 2, 3, 2, 3, 3, 1, 4, 4, 4, 4, 4, 4, 2, 3, 4, 0, 1, 4, 3, 0, 2, 0, 1, 1, 3, 1, 4, 0, 2, 0, 3, 1, 0, 1, 4, 3, 1, 2, 0, 4, 1, 0, 3, 3, 1, 0, 0, 4, 2, 4, 2, 0, 0, 1, 4, 4, 0, 1, 1, 0, 2, 3, 3, 4, 3, 3, 1, 1, 4, 4, 1, 4, 4, 4, 2, 4, 3, 3, 4, 2, 1, 2, 0, 3, 1, 3, 0, 1, 0, 1, 2, 1, 2, 0, 3, 3, 2, 0, 2, 1, 4, 3, 4, 0, 3, 0, 2, 0, 4, 3, 1, 4, 0, 3, 3, 2, 2, 2, 0, 2, 4, 4, 3, 4, 3, 2, 0, 2, 2, 2, 3, 2, 0, 2, 1, 0, 3, 0, 0, 1, 4, 0, 1, 2, 3, 4, 4, 2, 4, 1, 3, 3, 0, 4, 4, 0, 4, 4, 4, 1, 0, 0, 2, 0, 3, 4, 1, 3, 1, 2, 4, 3, 2, 1, 4, 4, 3, 2, 4, 3, 1, 4, 4, 1, 1, 0, 2, 2, 2, 4, 2, 3, 3, 0, 2, 0, 2, 4, 2, 0, 4, 1, 2, 4, 3, 4, 1, 2, 1, 2, 1, 4, 4, 4, 4, 3, 2, 1, 4, 0, 0, 3, 1, 3, 0, 0, 4, 0, 3, 4, 0, 3, 0, 1, 1, 4, 4, 0, 3, 0, 2, 1, 3, 3, 2, 0, 4, 4, 1, 0, 2, 1, 2, 4, 4, 4, 1, 3, 1, 1, 0, 0, 4, 3, 1, 0, 4, 4, 1, 3, 0, 4, 1, 0, 3, 1, 1, 2, 2, 2, 1, 2, 4, 1, 1, 4, 0, 2, 4, 4, 0, 4, 2, 4, 4, 2, 1, 3, 1, 2, 0, 3, 4, 3, 1, 0, 4, 4, 2, 1, 1, 4, 3, 4, 1, 3, 0, 2, 2, 1, 3, 4, 1, 2, 4, 3, 1, 3, 4, 1, 0, 2] pubkeycol1207 = [3, 2, 4, 2, 0, 2, 1, 2, 4, 4, 4, 2, 2, 0, 0, 0, 3, 4, 2, 0, 3, 3, 2, 3, 3, 0, 3, 3, 2, 4, 0, 3, 0, 0, 3, 1, 3, 3, 1, 2, 0, 3, 1, 3, 0, 4, 0, 0, 0, 4, 3, 3, 4, 0, 0, 3, 3, 0, 2, 4, 1, 0, 2, 0, 4, 4, 2, 4, 4, 4, 4, 0, 3, 3, 4, 1, 0, 3, 4, 2, 2, 1, 4, 0, 2, 0, 3, 2, 2, 0, 1, 1, 3, 3, 0, 3, 4, 0, 2, 3, 2, 1, 1, 3, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 4, 2, 2, 2, 3, 3, 2, 2, 4, 2, 1, 3, 3, 3, 2, 2, 3, 1, 1, 2, 1, 2, 0, 4, 0, 2, 4, 0, 0, 2, 0, 4, 2, 4, 3, 3, 2, 0, 0, 2, 4, 2, 1, 0, 1, 3, 2, 0, 0, 4, 0, 4, 4, 4, 2, 4, 4, 1, 2, 3, 0, 3, 2, 1, 4, 1, 3, 1, 2, 1, 4, 0, 1, 0, 1, 2, 2, 0, 1, 0, 3, 1, 2, 1, 0, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 0, 2, 2, 1, 1, 2, 3, 0, 0, 3, 3, 0, 0, 4, 2, 2, 4, 4, 2, 2, 4, 1, 1, 1, 0, 2, 4, 4, 2, 2, 1, 4, 3, 3, 2, 0, 3, 1, 0, 1, 2, 4, 1, 0, 1, 3, 3, 3, 4, 4, 2, 3, 0, 2, 2, 4, 2, 4, 3, 2, 2, 2, 0, 0, 3, 1, 3, 1, 1, 1, 3, 3, 4, 1, 0, 1, 1, 4, 3, 4, 0, 0, 3, 3, 0, 0, 0, 3, 4, 0, 0, 0, 0, 2, 0, 2, 4, 4, 4, 4, 3, 0, 1, 3, 4, 1, 2, 2, 0, 1, 2, 2, 0, 4, 2, 2, 2, 4, 0, 4, 3, 2, 0, 3, 3, 1, 3, 3, 0, 3, 3, 2, 4, 3, 3, 0, 4, 2, 1, 2, 3, 2, 1, 3, 2, 3, 3, 4, 0, 0, 1, 0, 1, 0, 3, 2, 0, 0, 4, 1, 3, 0, 4, 3, 2, 4, 4, 3, 4, 4, 0, 4, 3, 1, 2, 3, 4, 2, 1, 1, 1, 1, 3, 2, 2, 2, 0, 4, 1, 3, 1, 3, 2, 1, 2, 0, 0, 3, 3, 1, 0, 2, 0, 1, 0, 4, 1, 3, 0, 0, 4, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 4, 4, 1, 1, 3, 0, 3, 0, 3, 1, 2, 2, 0, 1, 1, 4, 4, 0, 1, 3, 4, 4, 4, 1, 3, 3, 1, 1, 1, 1, 3, 0, 4, 4, 4, 1, 1, 2, 1, 4, 0, 1, 3, 3, 0, 2, 1, 2] pubkeycol1208 = [0, 2, 3, 4, 0, 1, 4, 0, 1, 2, 3, 0, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 0, 3, 2, 4, 3, 0, 4, 4, 1, 2, 4, 1, 3, 1, 2, 2, 1, 4, 1, 2, 1, 3, 2, 3, 2, 4, 1, 0, 4, 0, 0, 1, 2, 1, 4, 4, 0, 1, 0, 3, 1, 3, 0, 4, 4, 3, 4, 1, 4, 1, 2, 1, 1, 1, 0, 1, 1, 4, 2, 2, 4, 1, 2, 0, 4, 1, 2, 1, 0, 4, 3, 3, 1, 2, 4, 1, 1, 4, 1, 3, 4, 2, 2, 0, 3, 0, 1, 0, 2, 3, 4, 3, 1, 4, 4, 2, 3, 4, 0, 4, 0, 0, 1, 1, 3, 1, 3, 3, 4, 4, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 3, 2, 0, 2, 2, 4, 2, 3, 3, 1, 2, 0, 3, 1, 1, 1, 3, 2, 1, 3, 1, 2, 0, 2, 4, 4, 1, 1, 3, 4, 0, 0, 1, 4, 2, 4, 2, 3, 2, 0, 3, 1, 4, 3, 2, 4, 3, 2, 2, 0, 4, 4, 2, 4, 2, 0, 4, 2, 4, 4, 0, 1, 0, 0, 3, 2, 4, 0, 2, 3, 3, 3, 2, 3, 4, 3, 0, 4, 3, 1, 2, 1, 3, 1, 3, 4, 1, 2, 0, 2, 4, 2, 4, 4, 3, 0, 0, 1, 4, 1, 1, 2, 2, 4, 4, 4, 1, 4, 1, 0, 2, 1, 3, 3, 3, 1, 2, 0, 1, 2, 3, 4, 4, 4, 0, 1, 1, 0, 0, 0, 3, 4, 0, 1, 3, 0, 2, 2, 0, 0, 2, 4, 2, 2, 0, 0, 2, 4, 2, 0, 4, 0, 0, 0, 4, 2, 3, 4, 4, 3, 0, 4, 0, 3, 0, 1, 2, 0, 4, 3, 0, 3, 2, 0, 0, 2, 1, 1, 0, 1, 3, 3, 0, 0, 0, 0, 4, 4, 4, 1, 0, 2, 1, 2, 0, 4, 4, 0, 0, 1, 4, 0, 2, 0, 3, 0, 3, 1, 0, 0, 0, 3, 0, 3, 2, 3, 4, 1, 1, 3, 3, 3, 2, 3, 1, 0, 4, 0, 3, 4, 2, 3, 3, 4, 1, 3, 2, 0, 3, 0, 0, 4, 3, 3, 2, 3, 4, 2, 0, 1, 2, 2, 0, 1, 0, 3, 2, 1, 2, 2, 1, 4, 2, 1, 2, 1, 1, 2, 2, 1, 4, 0, 1, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 2, 4, 3, 2, 1, 4, 1, 1, 2, 2, 0, 0, 1, 0, 0, 4, 2, 1, 1, 0, 4, 4, 4, 3, 1, 2, 3, 0, 3, 4, 1, 4, 4, 2, 1, 3, 1, 3, 2, 2, 1, 0, 3, 4, 0, 0, 3, 1, 4, 0, 3, 2, 1] pubkeycol1209 = [1, 3, 0, 1, 2, 1, 1, 4, 2, 4, 4, 4, 4, 4, 3, 3, 2, 4, 3, 1, 4, 4, 0, 0, 4, 1, 3, 3, 2, 1, 4, 0, 2, 1, 0, 2, 1, 3, 0, 2, 1, 3, 3, 1, 4, 2, 3, 3, 3, 3, 0, 1, 4, 1, 1, 3, 0, 3, 2, 4, 3, 3, 4, 4, 0, 4, 4, 0, 1, 3, 2, 3, 0, 2, 2, 0, 2, 4, 0, 2, 4, 2, 2, 4, 0, 4, 0, 2, 2, 4, 2, 1, 2, 4, 3, 0, 2, 3, 2, 2, 1, 2, 2, 4, 1, 1, 1, 1, 1, 2, 1, 0, 4, 4, 0, 0, 3, 0, 0, 2, 0, 4, 0, 1, 3, 4, 0, 2, 1, 2, 0, 1, 1, 4, 3, 2, 0, 0, 0, 0, 3, 2, 0, 0, 1, 3, 1, 0, 4, 2, 2, 0, 1, 3, 0, 2, 3, 1, 0, 2, 4, 1, 1, 2, 2, 3, 2, 4, 1, 0, 1, 0, 1, 2, 2, 1, 4, 3, 1, 0, 1, 2, 3, 1, 3, 4, 4, 4, 4, 3, 4, 4, 3, 1, 2, 2, 2, 0, 1, 3, 3, 4, 2, 2, 3, 2, 4, 0, 4, 2, 4, 2, 4, 2, 3, 2, 4, 4, 1, 1, 2, 0, 0, 4, 0, 4, 4, 1, 3, 1, 3, 4, 3, 4, 2, 2, 4, 2, 1, 1, 1, 3, 4, 4, 2, 4, 1, 1, 1, 2, 4, 1, 3, 3, 1, 2, 1, 0, 4, 2, 1, 1, 4, 4, 1, 1, 4, 4, 2, 2, 0, 3, 3, 4, 3, 0, 1, 3, 4, 2, 4, 2, 0, 2, 3, 4, 0, 3, 1, 0, 0, 4, 3, 2, 1, 1, 3, 2, 0, 3, 3, 4, 1, 4, 2, 1, 3, 1, 1, 2, 3, 3, 3, 1, 4, 0, 3, 1, 0, 2, 0, 4, 2, 1, 0, 4, 4, 4, 2, 2, 0, 4, 0, 1, 3, 3, 2, 0, 4, 4, 1, 4, 2, 3, 3, 1, 2, 0, 0, 1, 0, 4, 1, 3, 4, 3, 4, 0, 0, 0, 0, 4, 4, 3, 1, 3, 3, 3, 2, 0, 2, 0, 0, 3, 0, 1, 3, 2, 0, 4, 3, 3, 4, 4, 3, 1, 0, 1, 2, 1, 3, 3, 3, 4, 0, 4, 0, 4, 0, 4, 4, 1, 1, 4, 3, 1, 4, 2, 0, 2, 4, 2, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 1, 2, 3, 2, 4, 0, 0, 2, 3, 2, 0, 1, 1, 3, 4, 4, 4, 2, 3, 1, 1, 2, 3, 2, 2, 4, 2, 4, 4, 2, 1, 4, 3, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 0, 3, 4, 0, 1, 3, 0, 1, 2, 2, 3, 1, 0, 2] pubkeycol1210 = [0, 2, 1, 3, 2, 3, 0, 0, 4, 2, 4, 0, 0, 2, 4, 4, 2, 4, 1, 1, 3, 0, 3, 0, 4, 3, 1, 0, 2, 3, 2, 4, 1, 3, 1, 4, 4, 4, 4, 2, 3, 1, 2, 2, 2, 3, 4, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 3, 1, 1, 3, 1, 3, 3, 1, 4, 4, 2, 0, 3, 0, 2, 3, 2, 1, 1, 3, 4, 1, 0, 3, 2, 3, 4, 3, 0, 3, 4, 2, 1, 3, 0, 2, 3, 1, 0, 2, 3, 0, 4, 2, 2, 0, 1, 1, 4, 3, 3, 0, 2, 1, 1, 2, 4, 1, 3, 0, 2, 4, 0, 4, 0, 3, 2, 1, 4, 2, 4, 3, 0, 2, 2, 3, 4, 3, 1, 2, 2, 1, 4, 3, 1, 3, 1, 1, 1, 3, 3, 0, 3, 4, 2, 2, 3, 3, 4, 3, 1, 4, 3, 1, 1, 0, 2, 0, 4, 2, 1, 0, 1, 2, 3, 2, 3, 2, 0, 0, 1, 0, 2, 0, 4, 3, 4, 4, 1, 0, 0, 3, 3, 2, 1, 1, 3, 1, 3, 1, 4, 1, 4, 0, 2, 0, 0, 3, 1, 3, 1, 4, 0, 3, 1, 1, 2, 0, 1, 3, 3, 1, 4, 1, 0, 0, 2, 2, 0, 2, 1, 3, 2, 4, 4, 4, 0, 2, 2, 1, 2, 1, 4, 4, 1, 0, 4, 2, 0, 3, 1, 0, 3, 4, 4, 1, 3, 2, 2, 3, 3, 2, 1, 1, 2, 1, 2, 4, 2, 0, 2, 1, 4, 2, 1, 3, 4, 4, 4, 1, 2, 1, 0, 0, 3, 2, 4, 0, 4, 1, 3, 1, 4, 4, 1, 3, 1, 1, 3, 1, 4, 0, 3, 1, 1, 3, 1, 4, 3, 2, 3, 1, 0, 1, 0, 2, 0, 4, 3, 3, 3, 1, 0, 2, 4, 4, 3, 2, 2, 4, 2, 1, 4, 2, 0, 0, 4, 3, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 4, 3, 2, 2, 2, 4, 2, 2, 4, 0, 0, 1, 1, 1, 0, 0, 1, 0, 3, 2, 4, 0, 1, 1, 2, 1, 1, 2, 1, 3, 0, 4, 0, 1, 2, 4, 4, 4, 4, 4, 1, 0, 4, 1, 4, 4, 3, 3, 1, 2, 0, 4, 3, 1, 1, 4, 2, 0, 1, 4, 3, 1, 1, 2, 1, 1, 1, 4, 2, 2, 4, 2, 2, 3, 3, 2, 2, 4, 2, 4, 1, 0, 0, 0, 4, 3, 0, 4, 4, 3, 1, 3, 4, 1, 3, 3, 3, 4, 0, 3, 3, 3, 4, 3, 0, 3, 2, 3, 4, 2, 3, 2, 3, 3, 1, 0, 0, 3, 2, 1, 3, 3, 3, 1, 0, 1, 0, 1] pubkeycol1211 = [0, 2, 4, 3, 4, 1, 1, 4, 4, 1, 2, 3, 3, 4, 4, 2, 2, 1, 0, 4, 0, 0, 4, 3, 1, 1, 0, 2, 0, 2, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 3, 0, 4, 2, 4, 0, 1, 4, 4, 2, 1, 1, 4, 3, 2, 1, 0, 4, 3, 4, 2, 1, 3, 4, 4, 2, 3, 0, 2, 1, 4, 0, 1, 3, 4, 1, 1, 2, 4, 0, 4, 2, 0, 0, 0, 0, 4, 4, 4, 1, 4, 4, 2, 2, 0, 3, 3, 2, 3, 0, 4, 0, 4, 3, 3, 4, 3, 3, 4, 4, 4, 1, 0, 1, 1, 2, 3, 3, 1, 1, 4, 2, 2, 1, 0, 0, 4, 4, 0, 3, 4, 4, 0, 2, 0, 2, 1, 4, 4, 1, 2, 1, 3, 2, 1, 3, 1, 0, 3, 0, 0, 4, 3, 2, 3, 3, 1, 1, 3, 1, 4, 3, 3, 0, 3, 4, 0, 4, 0, 2, 3, 3, 3, 4, 0, 1, 0, 4, 3, 1, 4, 3, 0, 2, 3, 2, 1, 1, 2, 1, 4, 1, 0, 3, 3, 3, 3, 4, 3, 2, 4, 3, 0, 2, 0, 3, 2, 3, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 3, 2, 2, 2, 0, 0, 0, 2, 0, 4, 2, 2, 0, 1, 1, 1, 4, 4, 1, 3, 1, 0, 3, 2, 4, 3, 4, 4, 0, 2, 1, 2, 4, 1, 2, 3, 1, 2, 1, 0, 0, 3, 0, 1, 0, 3, 4, 4, 2, 0, 2, 1, 3, 3, 1, 1, 1, 0, 2, 0, 4, 0, 0, 4, 3, 0, 2, 1, 0, 4, 2, 0, 1, 4, 4, 4, 1, 4, 0, 4, 3, 1, 0, 2, 1, 2, 4, 1, 0, 0, 4, 3, 2, 0, 0, 0, 0, 1, 4, 3, 3, 3, 2, 4, 4, 1, 1, 2, 4, 1, 4, 0, 3, 3, 0, 1, 0, 4, 4, 3, 0, 4, 1, 4, 4, 3, 0, 2, 3, 4, 1, 0, 3, 0, 2, 4, 0, 4, 4, 1, 4, 2, 2, 3, 2, 4, 4, 3, 2, 2, 3, 2, 0, 1, 1, 1, 2, 0, 3, 4, 1, 1, 4, 2, 3, 3, 0, 2, 2, 1, 0, 3, 1, 0, 4, 4, 4, 1, 0, 4, 4, 1, 2, 0, 1, 1, 0, 1, 2, 4, 4, 0, 1, 4, 1, 0, 3, 1, 3, 3, 4, 0, 1, 0, 2, 4, 4, 4, 3, 4, 0, 1, 2, 2, 4, 4, 3, 2, 3, 1, 1, 1, 3, 0, 1, 1, 0, 0, 4, 4, 1, 0, 4, 0, 0, 4, 0, 3, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 3, 3, 1] pubkeycol1212 = [0, 1, 4, 4, 4, 0, 2, 4, 1, 1, 0, 1, 3, 1, 2, 0, 1, 1, 1, 4, 4, 4, 0, 4, 1, 3, 4, 1, 1, 4, 0, 3, 2, 3, 3, 2, 0, 0, 4, 1, 2, 0, 2, 1, 3, 0, 1, 1, 2, 3, 4, 1, 4, 0, 1, 3, 3, 0, 0, 4, 3, 1, 0, 3, 0, 4, 0, 1, 2, 4, 3, 3, 0, 2, 4, 3, 3, 2, 2, 3, 2, 0, 1, 3, 1, 1, 4, 0, 3, 1, 2, 1, 2, 0, 3, 3, 4, 1, 0, 0, 4, 1, 0, 0, 4, 2, 2, 2, 1, 0, 4, 0, 3, 2, 4, 1, 1, 4, 4, 1, 2, 1, 1, 1, 2, 3, 0, 0, 1, 0, 2, 0, 2, 0, 0, 3, 4, 4, 2, 2, 3, 4, 1, 3, 3, 2, 4, 2, 4, 1, 4, 0, 1, 4, 4, 4, 4, 0, 2, 1, 0, 3, 4, 3, 1, 2, 2, 4, 2, 2, 1, 3, 2, 4, 2, 3, 1, 1, 3, 2, 4, 0, 2, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 1, 2, 3, 3, 0, 1, 1, 4, 3, 2, 2, 0, 3, 2, 0, 1, 2, 3, 3, 1, 4, 1, 2, 1, 2, 2, 1, 0, 4, 4, 3, 4, 3, 2, 3, 2, 0, 2, 1, 2, 4, 4, 2, 1, 0, 4, 3, 4, 1, 1, 2, 3, 4, 2, 4, 3, 2, 0, 1, 0, 4, 1, 1, 4, 1, 3, 3, 1, 4, 4, 4, 3, 3, 1, 0, 2, 0, 3, 1, 2, 2, 3, 3, 2, 3, 2, 3, 4, 1, 4, 4, 4, 3, 0, 4, 1, 0, 2, 3, 3, 4, 0, 3, 4, 4, 0, 1, 1, 1, 2, 4, 1, 2, 2, 0, 1, 4, 4, 1, 0, 0, 4, 3, 1, 4, 0, 3, 2, 0, 2, 1, 0, 2, 4, 4, 4, 2, 0, 2, 3, 1, 3, 3, 2, 4, 0, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 2, 2, 4, 1, 0, 4, 4, 4, 1, 1, 2, 4, 2, 4, 4, 0, 3, 1, 3, 1, 4, 4, 4, 2, 1, 4, 4, 4, 2, 2, 0, 2, 2, 1, 4, 1, 0, 4, 0, 3, 0, 2, 0, 4, 0, 1, 0, 3, 4, 2, 4, 0, 2, 4, 4, 0, 0, 1, 3, 4, 1, 0, 2, 3, 3, 3, 1, 1, 1, 3, 3, 2, 4, 4, 2, 1, 4, 3, 0, 1, 0, 0, 1, 2, 3, 3, 2, 3, 1, 3, 3, 2, 0, 1, 0, 2, 1, 3, 4, 1, 2, 4, 4, 0, 0, 4, 1, 2, 2, 4, 0, 3, 3, 0, 2, 2, 4, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol1213 = [4, 2, 4, 3, 3, 2, 1, 3, 1, 0, 3, 1, 1, 4, 4, 3, 2, 0, 4, 4, 3, 0, 0, 1, 3, 2, 4, 3, 1, 4, 3, 0, 0, 3, 0, 2, 4, 4, 3, 4, 0, 0, 2, 2, 0, 1, 4, 4, 1, 0, 4, 0, 4, 3, 1, 1, 1, 4, 3, 1, 4, 1, 1, 0, 1, 3, 2, 4, 0, 2, 0, 1, 4, 0, 0, 3, 1, 0, 1, 0, 2, 3, 1, 1, 3, 0, 2, 4, 1, 0, 4, 4, 3, 2, 2, 2, 3, 0, 1, 1, 1, 4, 3, 1, 3, 2, 4, 2, 3, 3, 1, 3, 1, 1, 3, 1, 3, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 4, 4, 2, 4, 3, 2, 0, 2, 0, 2, 4, 0, 3, 4, 2, 0, 4, 4, 2, 3, 0, 1, 4, 3, 3, 0, 1, 4, 0, 3, 1, 4, 1, 2, 2, 1, 1, 2, 4, 0, 0, 4, 4, 3, 4, 0, 0, 2, 4, 2, 3, 1, 0, 0, 1, 2, 3, 3, 3, 4, 4, 1, 2, 4, 1, 4, 3, 2, 3, 2, 4, 0, 3, 1, 2, 1, 0, 4, 0, 1, 0, 1, 0, 2, 4, 1, 0, 0, 4, 3, 1, 1, 0, 3, 3, 0, 4, 1, 2, 0, 3, 2, 0, 2, 3, 1, 4, 3, 3, 0, 4, 1, 1, 4, 4, 1, 1, 4, 3, 1, 1, 0, 4, 2, 1, 3, 1, 1, 0, 3, 0, 0, 3, 1, 3, 2, 2, 4, 2, 3, 1, 3, 4, 4, 1, 4, 4, 1, 2, 3, 3, 0, 4, 4, 0, 1, 3, 4, 3, 3, 1, 2, 3, 1, 3, 3, 4, 0, 0, 1, 3, 3, 4, 3, 0, 4, 3, 0, 3, 1, 3, 1, 4, 0, 4, 4, 0, 3, 4, 0, 0, 0, 3, 0, 0, 2, 2, 3, 4, 0, 1, 4, 4, 0, 0, 2, 3, 1, 4, 4, 2, 2, 3, 4, 4, 1, 4, 0, 4, 3, 1, 0, 2, 1, 2, 0, 0, 4, 3, 4, 1, 4, 4, 0, 1, 2, 0, 2, 0, 2, 4, 3, 4, 2, 4, 3, 4, 4, 1, 3, 3, 3, 0, 2, 0, 3, 4, 1, 1, 4, 0, 3, 1, 4, 3, 4, 3, 1, 0, 0, 1, 2, 0, 4, 2, 0, 3, 3, 1, 4, 0, 1, 0, 1, 1, 0, 1, 3, 4, 4, 0, 3, 1, 1, 3, 2, 2, 4, 1, 0, 2, 1, 4, 1, 2, 0, 2, 3, 4, 1, 1, 0, 1, 1, 4, 2, 0, 4, 2, 3, 2, 1, 3, 1, 4, 0, 4, 1, 4, 0, 0, 0, 2, 1, 0, 3, 0, 0, 1, 1, 1, 4, 2, 0, 1, 4, 0, 0, 1, 4, 4, 2] pubkeycol1214 = [4, 1, 3, 0, 4, 3, 2, 0, 4, 3, 0, 1, 0, 3, 4, 4, 1, 3, 1, 3, 1, 0, 3, 3, 1, 1, 1, 2, 3, 1, 3, 3, 0, 2, 2, 3, 1, 1, 4, 3, 1, 1, 4, 0, 4, 4, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 3, 2, 0, 4, 3, 2, 2, 1, 1, 3, 1, 2, 1, 3, 3, 1, 2, 4, 3, 0, 1, 3, 4, 3, 2, 4, 2, 2, 3, 2, 0, 3, 4, 3, 1, 2, 4, 4, 3, 1, 0, 2, 4, 4, 0, 3, 0, 3, 2, 0, 3, 2, 2, 2, 1, 0, 0, 3, 4, 2, 2, 3, 1, 3, 2, 2, 0, 0, 3, 2, 1, 4, 1, 3, 0, 2, 3, 2, 0, 2, 3, 3, 0, 4, 1, 3, 0, 4, 0, 0, 2, 4, 3, 1, 3, 4, 0, 1, 0, 2, 4, 3, 3, 3, 2, 3, 0, 4, 2, 0, 3, 4, 3, 1, 2, 4, 0, 2, 4, 2, 4, 2, 4, 0, 4, 1, 0, 1, 1, 4, 0, 0, 4, 0, 4, 0, 1, 4, 3, 2, 1, 1, 2, 2, 1, 1, 1, 4, 1, 1, 4, 4, 0, 3, 1, 1, 2, 4, 0, 2, 0, 4, 1, 0, 4, 2, 1, 0, 1, 4, 1, 2, 2, 2, 1, 1, 1, 4, 1, 4, 3, 0, 3, 2, 4, 1, 1, 4, 3, 4, 4, 4, 4, 1, 2, 3, 3, 3, 0, 3, 4, 1, 3, 2, 2, 0, 4, 4, 4, 2, 4, 2, 3, 3, 1, 2, 0, 0, 2, 2, 4, 2, 4, 3, 2, 0, 1, 4, 0, 3, 1, 0, 3, 4, 4, 2, 2, 1, 3, 4, 3, 1, 4, 0, 4, 1, 1, 3, 3, 2, 2, 1, 2, 0, 2, 0, 3, 0, 4, 1, 0, 1, 4, 0, 2, 4, 2, 4, 3, 0, 3, 0, 0, 1, 3, 0, 0, 1, 0, 2, 4, 4, 1, 4, 4, 1, 3, 3, 0, 1, 2, 1, 1, 3, 4, 0, 2, 0, 0, 4, 1, 2, 3, 3, 4, 1, 4, 1, 0, 2, 0, 0, 4, 4, 2, 3, 3, 4, 0, 1, 0, 4, 1, 1, 3, 3, 1, 0, 1, 3, 4, 1, 3, 3, 4, 2, 1, 4, 1, 4, 0, 4, 3, 0, 2, 0, 3, 0, 3, 1, 4, 3, 2, 3, 3, 1, 1, 4, 0, 1, 1, 3, 4, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 3, 2, 1, 2, 0, 2, 3, 0, 0, 4, 0, 4, 3, 1, 4, 1, 1, 0, 4, 1, 1, 4, 0, 4, 0, 1, 0, 0, 3, 2, 2, 0, 1, 0, 0, 0, 3, 0, 3, 1, 3, 3, 3, 4, 3, 2, 0, 4, 4, 3, 3] pubkeycol1215 = [2, 2, 2, 4, 4, 4, 4, 2, 4, 4, 4, 1, 0, 2, 4, 3, 4, 3, 4, 1, 3, 4, 2, 0, 4, 2, 3, 1, 1, 0, 0, 3, 2, 3, 3, 0, 4, 3, 4, 4, 1, 0, 1, 0, 2, 4, 0, 0, 0, 4, 3, 3, 3, 2, 2, 3, 0, 4, 1, 0, 0, 2, 3, 0, 1, 2, 0, 3, 2, 2, 1, 0, 3, 4, 2, 1, 1, 0, 0, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 4, 4, 1, 3, 3, 2, 2, 0, 2, 4, 2, 0, 3, 1, 3, 0, 0, 1, 4, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 4, 4, 3, 1, 3, 1, 0, 3, 3, 4, 4, 0, 4, 4, 2, 2, 3, 1, 0, 3, 4, 3, 2, 2, 4, 2, 4, 3, 3, 4, 0, 1, 3, 4, 0, 4, 2, 1, 2, 0, 0, 2, 1, 4, 1, 0, 0, 0, 2, 0, 3, 4, 2, 0, 0, 2, 4, 2, 2, 3, 2, 1, 2, 3, 1, 0, 4, 1, 3, 4, 4, 1, 0, 0, 0, 3, 2, 0, 0, 1, 2, 1, 1, 1, 4, 0, 1, 4, 0, 2, 4, 3, 1, 3, 1, 3, 2, 2, 3, 4, 0, 2, 1, 3, 0, 1, 4, 2, 2, 0, 3, 4, 0, 3, 3, 2, 0, 0, 1, 1, 3, 4, 4, 3, 3, 2, 3, 2, 4, 1, 0, 2, 0, 2, 4, 1, 1, 1, 3, 0, 2, 2, 4, 4, 1, 2, 2, 2, 0, 4, 4, 3, 0, 4, 4, 1, 0, 4, 3, 0, 0, 4, 2, 3, 3, 0, 4, 3, 2, 3, 2, 4, 2, 0, 1, 3, 2, 2, 4, 4, 3, 1, 1, 2, 2, 0, 4, 3, 4, 0, 0, 2, 2, 2, 0, 1, 1, 0, 3, 1, 0, 1, 1, 2, 4, 1, 1, 1, 4, 4, 0, 2, 0, 4, 4, 0, 3, 3, 4, 4, 3, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 3, 0, 0, 2, 1, 3, 0, 4, 1, 1, 4, 0, 2, 3, 2, 4, 2, 4, 0, 3, 4, 4, 0, 0, 3, 0, 1, 3, 2, 3, 1, 2, 0, 4, 4, 2, 1, 0, 0, 0, 4, 0, 4, 4, 1, 0, 0, 2, 0, 3, 1, 4, 3, 0, 4, 4, 4, 1, 4, 0, 0, 3, 0, 0, 0, 4, 3, 4, 4, 0, 1, 2, 1, 3, 0, 1, 4, 4, 2, 0, 4, 3, 2, 1, 0, 0, 1, 1, 3, 0, 3, 1, 3, 3, 1, 1, 4, 4, 1, 4, 3, 3, 0, 0, 3, 3, 1, 2, 1, 2, 1, 4, 2, 0, 2, 4, 1, 1, 1, 0, 1, 0, 4, 0, 4, 0, 1, 3, 0, 4] pubkeycol1216 = [2, 4, 3, 0, 3, 3, 0, 2, 4, 3, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 4, 2, 2, 3, 2, 2, 4, 1, 4, 1, 3, 3, 2, 4, 2, 4, 3, 3, 3, 0, 2, 0, 0, 2, 2, 1, 0, 0, 4, 2, 4, 3, 1, 0, 1, 3, 1, 4, 0, 3, 2, 3, 4, 1, 1, 3, 1, 2, 2, 3, 1, 0, 4, 3, 2, 3, 1, 0, 4, 3, 0, 1, 2, 1, 3, 1, 2, 0, 2, 2, 4, 4, 4, 3, 1, 2, 1, 0, 3, 4, 2, 0, 3, 2, 3, 0, 2, 0, 2, 1, 2, 2, 3, 2, 4, 4, 0, 4, 4, 1, 1, 0, 0, 3, 2, 2, 0, 3, 3, 0, 4, 4, 2, 2, 0, 0, 1, 0, 1, 0, 3, 1, 1, 3, 3, 4, 4, 1, 2, 2, 2, 2, 3, 3, 0, 4, 1, 0, 2, 1, 0, 3, 0, 4, 0, 2, 0, 4, 3, 4, 2, 0, 3, 4, 1, 1, 1, 3, 2, 2, 2, 4, 0, 2, 1, 2, 1, 0, 4, 2, 3, 3, 1, 3, 0, 1, 0, 4, 4, 3, 0, 4, 2, 2, 4, 0, 1, 2, 2, 2, 1, 0, 3, 1, 4, 3, 4, 0, 1, 0, 1, 2, 0, 3, 2, 0, 3, 1, 3, 4, 0, 3, 1, 2, 0, 4, 2, 1, 4, 0, 2, 4, 2, 1, 0, 4, 2, 4, 3, 3, 0, 0, 4, 4, 2, 2, 0, 0, 2, 4, 0, 3, 2, 0, 1, 4, 2, 4, 1, 1, 4, 4, 4, 4, 1, 3, 0, 4, 2, 4, 2, 0, 1, 4, 0, 4, 2, 1, 0, 2, 0, 2, 0, 3, 0, 2, 1, 4, 4, 1, 1, 0, 3, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 3, 2, 1, 3, 0, 2, 1, 4, 4, 0, 0, 3, 1, 1, 0, 2, 2, 2, 0, 1, 4, 2, 1, 3, 3, 2, 3, 4, 0, 0, 0, 2, 4, 4, 2, 1, 0, 4, 0, 2, 4, 4, 0, 1, 0, 0, 0, 1, 4, 4, 1, 4, 1, 0, 1, 0, 2, 3, 2, 3, 4, 0, 4, 4, 0, 4, 4, 2, 2, 3, 2, 3, 1, 1, 4, 1, 2, 1, 1, 4, 0, 0, 0, 4, 3, 2, 4, 1, 2, 4, 0, 2, 1, 1, 2, 0, 1, 1, 4, 3, 0, 0, 4, 2, 4, 1, 4, 0, 3, 3, 1, 2, 1, 4, 3, 0, 3, 1, 0, 1, 4, 2, 0, 0, 0, 1, 0, 1, 4, 0, 0, 0, 2, 0, 2, 2, 4, 3, 4, 4, 3, 3, 4, 1, 1, 4, 1, 3, 4, 0, 3, 2, 3, 3, 3, 3, 3, 0, 0, 3, 1, 1, 4, 3, 3, 2, 3] pubkeycol1217 = [2, 1, 1, 2, 2, 3, 1, 4, 1, 2, 2, 3, 4, 0, 4, 1, 0, 1, 1, 3, 3, 2, 4, 2, 4, 4, 3, 2, 3, 1, 3, 4, 0, 4, 4, 0, 1, 4, 2, 3, 0, 1, 3, 0, 2, 0, 2, 2, 1, 4, 4, 1, 1, 3, 1, 0, 4, 2, 0, 1, 1, 4, 3, 1, 1, 3, 1, 3, 2, 0, 2, 0, 1, 2, 2, 4, 0, 3, 0, 2, 3, 3, 1, 3, 1, 3, 3, 0, 1, 1, 0, 2, 4, 3, 0, 1, 3, 3, 0, 2, 3, 0, 2, 1, 3, 1, 2, 0, 1, 4, 1, 0, 2, 0, 0, 2, 4, 0, 1, 2, 2, 0, 2, 3, 4, 2, 4, 4, 2, 4, 4, 3, 3, 3, 2, 3, 1, 0, 4, 1, 1, 4, 3, 3, 2, 3, 4, 3, 4, 3, 3, 0, 1, 2, 2, 3, 2, 4, 3, 2, 4, 2, 4, 0, 3, 4, 1, 2, 1, 3, 1, 1, 0, 3, 2, 4, 4, 2, 1, 3, 2, 2, 0, 3, 0, 1, 1, 4, 0, 3, 1, 2, 1, 4, 0, 0, 1, 3, 1, 1, 3, 3, 2, 3, 3, 1, 3, 0, 3, 3, 4, 3, 2, 4, 0, 3, 1, 0, 1, 2, 3, 1, 2, 0, 1, 3, 1, 2, 4, 4, 2, 0, 4, 4, 0, 1, 4, 4, 4, 1, 2, 1, 2, 2, 3, 0, 4, 1, 2, 1, 2, 3, 0, 4, 3, 4, 1, 3, 4, 0, 3, 4, 4, 3, 2, 4, 2, 4, 1, 4, 3, 1, 4, 3, 2, 0, 3, 0, 0, 3, 3, 3, 2, 4, 1, 1, 4, 1, 1, 0, 3, 4, 4, 3, 3, 3, 1, 3, 0, 3, 0, 0, 4, 4, 2, 2, 4, 0, 0, 2, 0, 1, 0, 3, 1, 4, 3, 3, 0, 3, 3, 2, 4, 1, 2, 0, 4, 3, 3, 3, 0, 0, 4, 2, 3, 4, 4, 0, 3, 1, 2, 0, 4, 0, 4, 4, 1, 3, 4, 3, 1, 3, 3, 1, 2, 3, 2, 1, 2, 2, 4, 4, 1, 2, 2, 2, 0, 0, 4, 0, 3, 1, 3, 2, 2, 1, 0, 0, 2, 1, 3, 0, 2, 4, 1, 1, 2, 0, 0, 3, 1, 2, 4, 3, 1, 0, 2, 3, 3, 4, 2, 0, 2, 0, 3, 3, 4, 3, 1, 3, 0, 2, 3, 4, 1, 0, 0, 2, 4, 0, 3, 3, 1, 3, 1, 2, 1, 3, 1, 0, 2, 1, 3, 3, 1, 4, 1, 2, 1, 3, 1, 3, 2, 1, 2, 2, 0, 2, 1, 4, 0, 4, 4, 0, 1, 2, 2, 4, 4, 4, 0, 1, 4, 2, 2, 4, 4, 0, 1, 0, 0, 1, 0, 4, 4, 2, 3, 3, 3, 3] pubkeycol1218 = [4, 3, 2, 3, 2, 2, 2, 3, 4, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 4, 0, 4, 3, 1, 2, 0, 1, 4, 1, 1, 3, 1, 3, 1, 2, 3, 2, 3, 4, 0, 0, 4, 2, 4, 0, 1, 3, 0, 1, 4, 2, 4, 1, 2, 2, 4, 1, 0, 1, 3, 1, 1, 2, 1, 4, 3, 0, 0, 3, 4, 3, 4, 4, 4, 0, 4, 0, 3, 2, 4, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 4, 2, 4, 0, 2, 1, 4, 2, 3, 3, 3, 3, 4, 2, 3, 2, 4, 0, 4, 4, 4, 2, 0, 2, 2, 3, 1, 0, 2, 2, 2, 4, 2, 2, 4, 3, 4, 2, 0, 4, 4, 2, 0, 1, 4, 2, 2, 0, 1, 0, 3, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 4, 2, 3, 0, 4, 2, 4, 3, 2, 2, 4, 3, 2, 3, 4, 4, 4, 1, 1, 3, 4, 3, 2, 1, 1, 1, 0, 4, 3, 1, 4, 2, 1, 1, 2, 4, 4, 3, 2, 0, 3, 2, 3, 4, 1, 1, 1, 3, 4, 4, 0, 2, 4, 1, 4, 3, 2, 3, 0, 2, 3, 0, 2, 4, 2, 0, 2, 1, 4, 0, 1, 1, 0, 2, 0, 1, 0, 4, 4, 2, 2, 3, 0, 4, 1, 4, 3, 0, 2, 3, 3, 4, 0, 2, 1, 0, 4, 1, 2, 2, 2, 2, 3, 3, 4, 3, 0, 3, 0, 0, 3, 2, 3, 3, 4, 1, 4, 1, 0, 2, 2, 2, 2, 0, 3, 0, 4, 2, 2, 2, 0, 2, 3, 1, 2, 3, 0, 3, 4, 1, 0, 0, 1, 3, 2, 0, 1, 0, 3, 4, 2, 1, 0, 0, 0, 3, 3, 2, 0, 4, 3, 1, 1, 3, 1, 4, 4, 3, 0, 1, 4, 3, 4, 2, 2, 2, 1, 2, 2, 0, 1, 3, 4, 0, 3, 1, 1, 1, 0, 4, 4, 2, 4, 0, 2, 4, 2, 1, 0, 0, 2, 0, 1, 1, 0, 4, 4, 1, 4, 3, 3, 0, 0, 2, 0, 1, 1, 4, 2, 2, 2, 3, 2, 4, 1, 0, 2, 1, 4, 0, 2, 4, 2, 2, 1, 2, 3, 1, 0, 4, 3, 2, 4, 0, 1, 3, 4, 3, 3, 4, 0, 3, 3, 4, 3, 1, 0, 4, 2, 3, 1, 0, 4, 3, 0, 2, 4, 1, 2, 3, 0, 3, 3, 3, 2, 2, 4, 0, 4, 4, 0, 1, 0, 2, 3, 3, 1, 0, 3, 0, 2, 2, 1, 2, 1, 0, 4, 3, 4, 3, 4, 4, 4, 1, 1, 4, 3, 4, 0, 4, 0, 0, 3, 4, 1, 2] pubkeycol1219 = [4, 4, 1, 1, 4, 4, 2, 4, 4, 2, 4, 2, 2, 0, 4, 0, 4, 3, 2, 4, 3, 0, 1, 4, 0, 2, 3, 2, 2, 2, 0, 0, 0, 2, 3, 1, 0, 1, 1, 1, 2, 2, 3, 0, 0, 0, 4, 4, 1, 0, 4, 4, 4, 0, 2, 4, 3, 3, 0, 4, 1, 4, 1, 2, 2, 4, 2, 0, 2, 4, 1, 4, 0, 3, 3, 4, 4, 2, 1, 3, 4, 2, 2, 3, 1, 1, 2, 3, 1, 0, 1, 4, 0, 1, 4, 0, 0, 2, 4, 3, 2, 0, 1, 4, 2, 1, 3, 3, 1, 1, 4, 0, 3, 2, 4, 1, 2, 1, 1, 1, 1, 0, 4, 4, 3, 2, 0, 3, 4, 0, 3, 2, 4, 0, 1, 1, 2, 3, 1, 1, 3, 4, 3, 0, 4, 1, 3, 2, 1, 4, 2, 3, 2, 4, 0, 4, 1, 3, 2, 2, 0, 4, 1, 1, 1, 4, 3, 2, 4, 3, 2, 0, 3, 4, 4, 4, 0, 3, 0, 2, 1, 4, 3, 1, 3, 2, 0, 4, 0, 0, 3, 0, 0, 0, 4, 3, 0, 2, 2, 4, 3, 3, 0, 0, 3, 1, 2, 3, 0, 3, 4, 4, 1, 3, 4, 2, 3, 1, 2, 2, 0, 0, 0, 0, 0, 2, 4, 3, 2, 0, 3, 3, 3, 1, 4, 4, 3, 0, 0, 4, 3, 4, 3, 0, 4, 0, 3, 2, 3, 2, 2, 3, 1, 0, 3, 3, 2, 4, 3, 2, 3, 4, 4, 2, 1, 1, 0, 0, 4, 0, 2, 2, 0, 0, 3, 0, 1, 0, 3, 0, 2, 4, 0, 3, 0, 1, 3, 3, 3, 0, 0, 4, 3, 4, 2, 0, 2, 3, 3, 2, 2, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 4, 0, 2, 4, 3, 4, 2, 3, 1, 0, 0, 1, 2, 3, 2, 1, 3, 2, 4, 2, 4, 2, 4, 3, 1, 4, 2, 2, 3, 0, 4, 3, 1, 2, 3, 0, 1, 1, 4, 1, 1, 2, 1, 3, 1, 3, 0, 3, 2, 3, 4, 2, 4, 4, 3, 2, 2, 1, 0, 1, 4, 0, 3, 0, 1, 0, 1, 0, 0, 4, 0, 4, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 4, 0, 1, 0, 0, 0, 0, 4, 4, 4, 2, 0, 3, 4, 3, 1, 2, 0, 4, 1, 0, 0, 0, 2, 2, 4, 2, 4, 0, 3, 0, 3, 4, 3, 2, 0, 0, 0, 1, 1, 3, 3, 2, 0, 2, 1, 0, 2, 2, 1, 4, 0, 3, 3, 2, 2, 1, 4, 4, 3, 0, 2, 2, 3, 1, 0, 1, 2, 0, 1, 4, 2, 0, 4, 4, 2, 4, 0, 2, 3, 1, 4, 2, 3, 0, 0] pubkeycol1220 = [0, 4, 4, 0, 2, 4, 2, 2, 2, 0, 0, 4, 1, 4, 2, 0, 0, 2, 4, 3, 3, 3, 2, 0, 4, 2, 1, 2, 1, 3, 2, 3, 4, 1, 4, 1, 2, 0, 4, 0, 0, 1, 2, 0, 1, 1, 4, 3, 2, 0, 4, 4, 0, 3, 2, 1, 1, 0, 2, 4, 2, 1, 0, 1, 4, 3, 0, 0, 0, 1, 1, 0, 4, 1, 3, 4, 0, 3, 0, 0, 0, 2, 3, 4, 4, 2, 3, 4, 1, 0, 2, 2, 2, 2, 3, 4, 3, 2, 3, 1, 4, 1, 0, 0, 2, 3, 0, 2, 4, 1, 3, 0, 3, 1, 0, 3, 0, 3, 0, 1, 2, 4, 3, 3, 2, 4, 3, 1, 2, 3, 3, 4, 2, 3, 4, 2, 2, 2, 4, 4, 1, 2, 0, 4, 4, 0, 0, 2, 0, 3, 3, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 3, 1, 4, 2, 2, 1, 4, 0, 1, 4, 2, 0, 0, 0, 4, 0, 0, 2, 0, 4, 3, 0, 2, 4, 1, 2, 0, 0, 2, 4, 2, 1, 0, 4, 4, 4, 3, 0, 1, 2, 2, 4, 3, 0, 1, 4, 0, 4, 3, 4, 0, 4, 0, 1, 0, 4, 3, 0, 0, 0, 3, 0, 0, 0, 4, 3, 2, 3, 4, 2, 2, 2, 1, 1, 2, 4, 1, 2, 2, 1, 3, 0, 0, 2, 3, 4, 3, 0, 0, 0, 4, 2, 0, 2, 1, 3, 1, 0, 3, 2, 4, 0, 2, 3, 2, 4, 4, 2, 0, 4, 4, 3, 1, 0, 0, 1, 4, 0, 3, 4, 1, 1, 1, 0, 1, 1, 4, 3, 2, 2, 3, 4, 3, 3, 0, 1, 4, 4, 0, 4, 0, 4, 2, 2, 4, 2, 1, 2, 2, 4, 2, 3, 3, 2, 0, 1, 4, 2, 2, 2, 4, 0, 3, 0, 1, 0, 4, 4, 0, 2, 0, 3, 3, 3, 4, 0, 2, 1, 4, 2, 4, 0, 1, 4, 2, 4, 2, 0, 1, 1, 2, 1, 0, 4, 2, 4, 3, 0, 4, 4, 0, 0, 0, 0, 4, 2, 2, 2, 0, 1, 4, 4, 4, 4, 3, 2, 2, 0, 1, 3, 0, 1, 1, 1, 1, 3, 4, 1, 2, 1, 4, 4, 4, 0, 3, 4, 2, 4, 4, 3, 3, 1, 3, 0, 4, 4, 1, 2, 0, 0, 1, 0, 1, 4, 4, 3, 2, 4, 0, 1, 0, 4, 4, 0, 4, 2, 1, 3, 3, 1, 0, 2, 0, 1, 1, 0, 2, 3, 4, 2, 1, 2, 0, 3, 4, 2, 2, 4, 2, 4, 0, 2, 0, 3, 2, 3, 2, 3, 0, 1, 0, 1, 1, 1, 2, 4, 2, 3, 0, 2, 2, 3, 1, 1, 1, 4, 2, 3, 4] pubkeycol1221 = [3, 0, 2, 0, 0, 2, 4, 1, 3, 2, 4, 4, 3, 2, 4, 0, 0, 3, 0, 4, 4, 0, 2, 0, 4, 0, 2, 3, 0, 3, 1, 2, 0, 2, 4, 3, 3, 0, 1, 2, 3, 3, 4, 3, 1, 2, 0, 2, 3, 4, 0, 2, 4, 0, 1, 3, 4, 2, 3, 0, 3, 2, 2, 4, 2, 3, 1, 2, 0, 3, 3, 1, 0, 3, 4, 1, 0, 4, 1, 0, 1, 4, 4, 4, 2, 4, 2, 0, 0, 0, 0, 2, 4, 2, 1, 0, 1, 4, 1, 0, 3, 3, 2, 3, 2, 2, 0, 2, 3, 0, 3, 0, 4, 2, 1, 0, 1, 0, 4, 4, 0, 1, 1, 3, 3, 0, 1, 0, 1, 4, 3, 1, 3, 1, 2, 4, 3, 4, 1, 3, 0, 3, 0, 1, 1, 4, 2, 4, 3, 3, 3, 1, 0, 0, 3, 4, 2, 1, 2, 4, 0, 1, 3, 0, 3, 4, 1, 3, 1, 4, 0, 4, 0, 4, 3, 4, 2, 3, 4, 0, 1, 0, 3, 4, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 3, 4, 1, 0, 3, 2, 0, 4, 4, 3, 0, 4, 1, 3, 3, 4, 2, 3, 3, 2, 1, 4, 3, 1, 0, 4, 1, 3, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 3, 1, 1, 4, 4, 0, 2, 4, 1, 1, 1, 1, 0, 1, 2, 3, 0, 3, 1, 2, 4, 3, 1, 4, 3, 4, 4, 2, 3, 3, 1, 4, 0, 4, 2, 2, 2, 3, 2, 0, 0, 3, 2, 0, 2, 2, 1, 0, 0, 3, 4, 3, 3, 1, 4, 3, 2, 1, 4, 2, 4, 2, 0, 3, 3, 1, 2, 3, 4, 3, 1, 0, 4, 2, 0, 2, 3, 1, 2, 0, 3, 1, 4, 2, 1, 2, 1, 0, 3, 3, 3, 4, 0, 1, 0, 1, 3, 0, 1, 0, 3, 0, 4, 2, 0, 4, 1, 1, 1, 1, 4, 4, 1, 4, 4, 0, 0, 3, 3, 0, 1, 3, 3, 2, 1, 3, 4, 0, 1, 2, 0, 4, 1, 1, 3, 3, 3, 4, 0, 2, 0, 1, 4, 2, 0, 2, 3, 3, 0, 2, 2, 2, 0, 2, 4, 4, 3, 0, 3, 1, 4, 0, 1, 1, 2, 1, 3, 4, 1, 1, 1, 4, 1, 2, 0, 4, 1, 3, 2, 2, 2, 4, 4, 3, 2, 4, 1, 0, 3, 0, 4, 0, 3, 1, 1, 4, 0, 3, 3, 4, 4, 2, 2, 1, 1, 3, 4, 4, 2, 0, 4, 4, 4, 2, 3, 4, 3, 2, 4, 1, 2, 4, 0, 1, 3, 0, 1, 3, 0, 3, 4, 1, 0, 0, 2, 4, 1, 2, 3, 3, 2, 0, 1, 3, 2, 1, 0] pubkeycol1222 = [0, 3, 0, 0, 0, 4, 1, 3, 1, 3, 4, 1, 3, 0, 0, 0, 0, 1, 1, 3, 1, 3, 1, 4, 4, 1, 0, 0, 2, 4, 3, 2, 1, 0, 0, 0, 4, 0, 4, 2, 1, 0, 4, 4, 4, 4, 0, 1, 4, 0, 3, 3, 4, 1, 4, 2, 4, 3, 2, 4, 3, 0, 3, 1, 4, 1, 2, 2, 2, 1, 4, 4, 1, 3, 0, 3, 1, 4, 1, 0, 2, 4, 1, 0, 4, 1, 2, 4, 2, 1, 2, 3, 1, 3, 0, 4, 4, 2, 3, 4, 3, 2, 4, 3, 2, 3, 2, 1, 4, 1, 0, 2, 1, 4, 0, 4, 0, 2, 3, 1, 4, 2, 1, 0, 2, 4, 4, 0, 0, 4, 1, 1, 1, 1, 4, 3, 2, 3, 3, 0, 0, 2, 3, 0, 2, 0, 1, 1, 1, 4, 3, 0, 4, 2, 3, 2, 1, 1, 2, 2, 0, 4, 3, 3, 0, 0, 4, 1, 3, 4, 2, 0, 4, 4, 3, 1, 4, 1, 3, 1, 4, 0, 1, 3, 4, 4, 2, 2, 2, 2, 1, 4, 1, 3, 3, 0, 2, 3, 4, 2, 1, 1, 1, 1, 2, 4, 0, 0, 1, 3, 1, 4, 2, 4, 4, 3, 0, 1, 2, 0, 0, 2, 4, 2, 2, 0, 0, 4, 1, 4, 2, 0, 3, 1, 4, 4, 1, 1, 4, 1, 0, 4, 4, 0, 3, 2, 4, 3, 2, 3, 0, 3, 1, 3, 4, 3, 4, 1, 4, 0, 0, 3, 4, 3, 2, 0, 3, 2, 2, 3, 4, 1, 4, 4, 0, 0, 2, 4, 0, 2, 2, 1, 4, 3, 4, 3, 1, 1, 2, 0, 0, 3, 4, 2, 2, 3, 2, 2, 1, 2, 1, 2, 1, 1, 4, 4, 1, 3, 2, 2, 0, 4, 4, 3, 2, 3, 1, 0, 4, 2, 1, 0, 0, 0, 3, 2, 1, 4, 3, 1, 3, 1, 0, 2, 3, 2, 2, 0, 4, 2, 3, 3, 3, 4, 2, 4, 1, 1, 2, 0, 4, 0, 4, 0, 1, 4, 1, 4, 0, 0, 3, 3, 3, 3, 0, 1, 3, 1, 4, 4, 1, 4, 4, 2, 0, 4, 1, 2, 4, 4, 0, 2, 0, 2, 3, 0, 0, 1, 3, 1, 0, 0, 3, 1, 4, 4, 1, 3, 4, 4, 0, 3, 0, 1, 1, 1, 1, 0, 0, 0, 4, 3, 2, 1, 3, 1, 2, 4, 0, 0, 4, 3, 2, 2, 1, 0, 2, 3, 3, 1, 0, 4, 3, 4, 2, 4, 0, 2, 2, 3, 2, 1, 4, 2, 1, 2, 1, 0, 3, 2, 2, 3, 1, 2, 0, 0, 1, 3, 0, 4, 3, 1, 2, 1, 1, 3, 4, 0, 0, 0, 0, 3, 4, 1, 1, 4, 3, 2, 1, 3] pubkeycol1223 = [3, 4, 3, 4, 1, 2, 1, 4, 3, 2, 2, 2, 1, 2, 2, 0, 4, 1, 1, 2, 1, 3, 2, 0, 3, 2, 2, 3, 4, 1, 3, 2, 4, 1, 0, 4, 1, 2, 2, 1, 3, 2, 1, 0, 4, 4, 3, 4, 3, 1, 1, 1, 0, 0, 3, 3, 3, 4, 0, 1, 1, 4, 2, 3, 3, 3, 4, 3, 4, 0, 3, 2, 4, 2, 2, 4, 2, 3, 2, 1, 4, 4, 0, 2, 1, 0, 3, 3, 4, 2, 4, 4, 4, 3, 3, 2, 2, 0, 4, 2, 0, 3, 4, 1, 3, 2, 4, 2, 3, 1, 4, 2, 1, 0, 4, 1, 1, 3, 2, 3, 1, 0, 3, 4, 3, 3, 0, 2, 1, 0, 2, 0, 2, 3, 2, 3, 0, 1, 4, 3, 4, 3, 3, 1, 0, 1, 2, 4, 4, 4, 2, 0, 4, 1, 1, 0, 1, 0, 3, 1, 2, 2, 1, 4, 3, 4, 4, 1, 3, 3, 2, 1, 3, 3, 1, 4, 1, 2, 4, 1, 4, 4, 2, 2, 2, 2, 2, 1, 4, 2, 2, 3, 1, 2, 2, 2, 0, 1, 0, 3, 3, 0, 2, 4, 3, 4, 2, 0, 4, 3, 0, 0, 4, 1, 3, 0, 0, 3, 1, 2, 3, 0, 3, 2, 0, 4, 2, 2, 1, 4, 0, 0, 3, 2, 1, 1, 1, 4, 3, 2, 1, 1, 2, 4, 2, 0, 0, 1, 4, 2, 4, 1, 2, 3, 4, 0, 0, 4, 4, 0, 3, 2, 3, 1, 3, 3, 2, 4, 1, 2, 0, 2, 1, 1, 2, 4, 0, 1, 2, 2, 1, 0, 3, 1, 1, 4, 3, 0, 3, 4, 4, 2, 2, 4, 2, 3, 3, 1, 4, 4, 2, 1, 4, 2, 1, 2, 1, 2, 0, 1, 0, 0, 3, 1, 1, 0, 3, 1, 1, 4, 0, 3, 3, 1, 2, 2, 0, 4, 0, 2, 2, 2, 0, 1, 3, 1, 2, 3, 2, 0, 0, 4, 4, 3, 4, 2, 2, 3, 2, 4, 0, 2, 1, 0, 1, 0, 4, 2, 0, 4, 2, 2, 4, 1, 3, 1, 3, 4, 3, 2, 0, 4, 0, 0, 2, 1, 1, 0, 2, 3, 4, 1, 3, 3, 2, 4, 0, 1, 3, 3, 3, 4, 4, 3, 3, 2, 4, 3, 0, 2, 1, 0, 3, 2, 4, 1, 1, 2, 3, 0, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 3, 1, 0, 2, 4, 1, 3, 3, 1, 4, 2, 1, 0, 4, 3, 4, 1, 2, 3, 1, 3, 1, 2, 3, 0, 2, 3, 1, 4, 3, 0, 4, 3, 2, 4, 1, 2, 4, 0, 4, 4, 3, 2, 1, 0, 2, 4, 0, 0, 4, 0, 3, 3, 1, 2, 1, 0, 2, 1, 2] pubkeycol1224 = [3, 0, 1, 4, 3, 3, 3, 3, 0, 3, 3, 2, 3, 1, 3, 0, 0, 2, 3, 0, 3, 0, 4, 2, 1, 2, 1, 3, 1, 4, 3, 0, 1, 3, 3, 2, 0, 4, 1, 3, 3, 2, 2, 4, 0, 0, 1, 2, 3, 4, 4, 4, 2, 4, 2, 2, 3, 1, 2, 0, 0, 1, 2, 2, 3, 1, 2, 3, 0, 4, 0, 0, 3, 2, 1, 2, 0, 4, 1, 1, 1, 1, 2, 0, 0, 3, 1, 2, 4, 1, 4, 1, 1, 2, 1, 2, 0, 2, 4, 2, 4, 2, 3, 2, 0, 4, 0, 1, 4, 0, 2, 0, 0, 3, 1, 3, 0, 0, 3, 0, 1, 2, 3, 2, 4, 4, 0, 0, 4, 0, 3, 3, 0, 1, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 4, 1, 2, 3, 2, 0, 4, 0, 2, 0, 4, 2, 3, 1, 2, 1, 3, 1, 2, 1, 3, 4, 3, 4, 3, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 3, 2, 4, 0, 4, 2, 3, 2, 2, 0, 0, 4, 2, 4, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 3, 3, 3, 4, 4, 4, 0, 4, 2, 3, 1, 3, 1, 0, 4, 2, 0, 2, 2, 3, 0, 4, 0, 3, 0, 2, 2, 2, 1, 3, 4, 2, 4, 0, 2, 4, 0, 4, 3, 3, 1, 4, 2, 0, 2, 0, 1, 2, 2, 0, 3, 3, 3, 2, 4, 3, 1, 0, 4, 4, 0, 3, 3, 3, 2, 1, 1, 2, 2, 2, 4, 2, 0, 0, 1, 3, 1, 4, 0, 2, 1, 1, 2, 4, 4, 4, 1, 4, 2, 4, 2, 3, 0, 4, 3, 2, 3, 2, 0, 1, 0, 3, 2, 1, 2, 0, 2, 4, 1, 4, 2, 1, 1, 1, 2, 4, 2, 4, 0, 4, 3, 1, 4, 2, 1, 1, 0, 2, 3, 2, 0, 1, 4, 1, 3, 1, 3, 0, 1, 2, 3, 0, 0, 0, 1, 1, 0, 1, 4, 2, 4, 3, 3, 0, 1, 3, 2, 3, 1, 1, 4, 0, 4, 2, 3, 4, 0, 1, 1, 1, 4, 1, 4, 4, 4, 2, 4, 1, 2, 0, 4, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 3, 3, 2, 4, 2, 4, 4, 2, 2, 1, 4, 1, 4, 3, 1, 0, 3, 3, 4, 2, 1, 3, 0, 0, 4, 3, 0, 2, 2, 3, 3, 2, 4, 2, 2, 4, 3, 1, 4, 3, 1, 0, 0, 1, 2, 3, 2, 3, 1, 1, 1, 3, 2, 4, 1, 3, 2, 0, 2, 0, 4, 4, 3, 2, 0, 2, 3, 2, 3, 4, 1, 1, 0, 3, 3, 2, 4, 1, 0] pubkeycol1225 = [3, 0, 4, 2, 3, 3, 4, 3, 0, 3, 1, 4, 3, 2, 4, 2, 3, 3, 4, 4, 2, 4, 4, 0, 4, 3, 1, 2, 1, 4, 1, 0, 0, 2, 4, 3, 0, 3, 4, 2, 4, 0, 1, 4, 0, 2, 1, 0, 4, 0, 4, 0, 2, 1, 3, 1, 3, 0, 1, 4, 1, 0, 2, 4, 1, 4, 1, 0, 4, 0, 1, 0, 2, 4, 0, 3, 0, 2, 4, 2, 4, 0, 1, 4, 4, 0, 4, 3, 3, 1, 1, 2, 3, 1, 4, 4, 3, 2, 3, 1, 3, 4, 4, 4, 2, 3, 1, 2, 2, 2, 2, 2, 4, 0, 3, 1, 2, 2, 0, 0, 3, 2, 2, 1, 4, 4, 2, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 3, 3, 1, 0, 1, 3, 3, 2, 1, 3, 1, 3, 1, 0, 2, 3, 2, 2, 3, 3, 0, 1, 0, 1, 0, 1, 1, 3, 0, 1, 4, 1, 4, 2, 2, 0, 1, 2, 3, 3, 1, 0, 1, 2, 3, 4, 1, 2, 1, 0, 4, 3, 3, 0, 0, 1, 1, 0, 3, 1, 3, 1, 0, 4, 3, 4, 3, 4, 4, 1, 1, 4, 4, 0, 3, 2, 1, 3, 1, 2, 0, 1, 1, 3, 4, 3, 2, 2, 3, 4, 1, 4, 1, 2, 2, 3, 1, 0, 1, 2, 2, 4, 1, 0, 4, 2, 4, 2, 0, 0, 1, 0, 2, 4, 1, 4, 3, 3, 2, 2, 4, 1, 3, 0, 1, 1, 2, 1, 4, 1, 2, 4, 4, 1, 1, 3, 4, 2, 0, 2, 3, 3, 1, 0, 0, 1, 0, 0, 4, 0, 4, 1, 4, 4, 4, 0, 2, 3, 2, 0, 4, 0, 3, 1, 2, 2, 4, 1, 0, 0, 2, 2, 4, 2, 1, 4, 2, 2, 2, 3, 4, 3, 0, 4, 4, 2, 3, 2, 2, 3, 2, 2, 3, 0, 4, 3, 4, 4, 3, 3, 0, 1, 1, 3, 4, 1, 0, 3, 3, 0, 0, 3, 0, 0, 1, 1, 4, 3, 3, 0, 2, 0, 1, 1, 1, 4, 1, 1, 1, 3, 2, 4, 4, 1, 1, 3, 4, 1, 1, 1, 1, 1, 0, 1, 3, 2, 4, 0, 2, 1, 1, 4, 1, 1, 3, 4, 2, 0, 4, 4, 1, 2, 0, 2, 1, 2, 1, 4, 4, 3, 2, 0, 1, 2, 1, 4, 1, 2, 4, 2, 4, 3, 4, 1, 0, 0, 0, 1, 4, 4, 3, 2, 1, 0, 1, 2, 4, 2, 3, 4, 2, 4, 4, 2, 4, 3, 2, 4, 3, 2, 2, 1, 2, 1, 1, 2, 2, 4, 1, 3, 3, 4, 4, 4, 2, 3, 4, 0] pubkeycol1226 = [4, 3, 3, 4, 3, 2, 1, 4, 4, 2, 3, 4, 4, 3, 2, 0, 2, 2, 4, 4, 0, 0, 4, 4, 2, 0, 4, 2, 2, 2, 3, 1, 2, 3, 4, 4, 2, 3, 2, 4, 1, 2, 1, 0, 3, 3, 1, 2, 4, 0, 1, 4, 1, 0, 3, 1, 4, 3, 0, 0, 3, 1, 4, 1, 0, 2, 2, 0, 4, 4, 3, 1, 1, 0, 4, 0, 3, 0, 4, 3, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 3, 2, 0, 0, 2, 0, 1, 3, 1, 4, 2, 0, 2, 4, 3, 3, 1, 2, 4, 4, 2, 4, 2, 2, 0, 0, 0, 1, 1, 4, 1, 4, 1, 4, 0, 3, 3, 1, 0, 2, 0, 4, 2, 3, 3, 3, 2, 1, 0, 1, 2, 2, 3, 3, 3, 0, 0, 4, 2, 0, 3, 4, 2, 2, 2, 1, 0, 2, 2, 1, 3, 1, 4, 4, 0, 4, 0, 3, 1, 2, 0, 0, 3, 4, 0, 4, 4, 4, 0, 3, 0, 1, 2, 0, 4, 0, 3, 4, 2, 3, 2, 0, 1, 3, 0, 3, 4, 2, 3, 4, 2, 3, 0, 2, 3, 2, 4, 0, 3, 1, 3, 2, 2, 4, 1, 3, 2, 0, 0, 2, 2, 0, 3, 1, 0, 3, 1, 0, 3, 0, 2, 4, 4, 0, 4, 1, 3, 4, 3, 2, 3, 4, 4, 0, 0, 2, 3, 1, 4, 2, 2, 4, 0, 2, 0, 3, 2, 4, 1, 4, 4, 3, 0, 1, 4, 0, 3, 1, 2, 4, 4, 4, 2, 0, 4, 0, 2, 1, 0, 2, 0, 3, 4, 4, 2, 1, 3, 1, 2, 3, 3, 2, 3, 2, 3, 1, 2, 0, 2, 0, 2, 1, 4, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 4, 1, 0, 3, 2, 1, 0, 0, 4, 1, 1, 0, 3, 2, 0, 3, 0, 4, 4, 1, 2, 3, 1, 3, 3, 2, 3, 2, 3, 3, 0, 2, 0, 2, 2, 3, 4, 2, 1, 4, 4, 2, 2, 0, 3, 2, 4, 0, 0, 0, 3, 1, 4, 2, 1, 3, 1, 3, 0, 0, 0, 3, 0, 0, 4, 3, 0, 3, 1, 4, 3, 3, 2, 0, 0, 0, 1, 0, 2, 4, 3, 3, 2, 4, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 4, 0, 2, 4, 4, 0, 3, 3, 2, 4, 1, 3, 2, 0, 3, 1, 1, 2, 4, 4, 4, 3, 4, 3, 1, 2, 2, 3, 0, 2, 4, 2, 3, 2, 4, 1, 2, 2, 4, 1, 2, 4, 2, 4, 4, 0, 1, 4, 3, 4, 3, 2, 2, 1, 4, 3, 2, 3, 1, 2, 0, 4, 4, 2, 4, 2] pubkeycol1227 = [3, 1, 3, 0, 0, 1, 1, 2, 0, 1, 4, 0, 1, 2, 3, 4, 2, 1, 0, 1, 4, 1, 1, 2, 3, 0, 4, 3, 0, 4, 4, 3, 2, 2, 1, 1, 1, 1, 3, 4, 1, 1, 3, 3, 1, 1, 1, 0, 0, 4, 2, 0, 0, 3, 2, 3, 3, 0, 1, 2, 0, 4, 1, 2, 4, 4, 4, 4, 3, 2, 0, 1, 3, 3, 4, 4, 1, 4, 0, 2, 2, 3, 4, 3, 4, 3, 3, 3, 0, 3, 2, 4, 4, 3, 1, 1, 4, 2, 2, 1, 1, 3, 1, 4, 2, 2, 1, 2, 2, 4, 2, 0, 1, 1, 0, 4, 1, 2, 2, 1, 3, 3, 1, 0, 4, 0, 3, 1, 4, 1, 0, 2, 4, 1, 1, 1, 0, 1, 2, 3, 1, 4, 0, 4, 2, 3, 1, 4, 4, 2, 0, 4, 0, 3, 1, 3, 1, 3, 0, 3, 4, 1, 0, 3, 2, 0, 1, 2, 3, 2, 2, 3, 2, 2, 0, 2, 0, 3, 2, 4, 2, 2, 3, 2, 2, 0, 2, 3, 2, 1, 0, 2, 4, 0, 4, 4, 0, 2, 4, 2, 2, 4, 3, 4, 2, 4, 2, 0, 4, 4, 1, 4, 1, 3, 3, 3, 4, 3, 2, 0, 3, 1, 3, 3, 0, 1, 1, 1, 4, 3, 4, 2, 1, 0, 1, 4, 4, 4, 4, 4, 1, 2, 4, 1, 0, 1, 1, 0, 0, 4, 2, 3, 3, 3, 3, 4, 2, 3, 3, 2, 4, 2, 0, 0, 0, 4, 0, 2, 2, 1, 0, 4, 3, 4, 0, 4, 3, 4, 2, 4, 4, 2, 1, 1, 4, 4, 0, 4, 2, 4, 4, 1, 4, 2, 2, 4, 4, 0, 1, 0, 1, 0, 2, 3, 2, 4, 1, 2, 0, 2, 1, 2, 3, 0, 2, 4, 3, 0, 1, 0, 1, 0, 1, 3, 3, 0, 0, 4, 1, 2, 4, 2, 2, 0, 2, 1, 4, 0, 4, 0, 4, 0, 4, 3, 1, 3, 0, 1, 4, 2, 3, 4, 1, 1, 2, 2, 1, 4, 2, 3, 1, 4, 4, 4, 2, 4, 2, 4, 0, 4, 1, 3, 0, 4, 0, 0, 1, 0, 4, 4, 1, 2, 3, 3, 1, 0, 2, 2, 4, 2, 4, 0, 0, 1, 1, 4, 3, 2, 3, 3, 2, 3, 1, 2, 3, 1, 1, 3, 3, 3, 3, 2, 1, 4, 2, 0, 0, 4, 4, 3, 4, 4, 2, 0, 0, 2, 4, 1, 2, 4, 1, 2, 1, 1, 1, 2, 4, 2, 2, 3, 3, 0, 1, 4, 0, 0, 0, 1, 4, 1, 3, 4, 1, 3, 1, 0, 4, 3, 0, 1, 2, 1, 1, 1, 4, 0, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 3, 1, 4, 3] pubkeycol1228 = [0, 4, 0, 2, 1, 0, 4, 0, 1, 4, 1, 4, 4, 4, 2, 2, 0, 0, 1, 0, 3, 3, 4, 1, 2, 4, 3, 2, 1, 0, 1, 4, 3, 1, 3, 2, 3, 0, 3, 0, 1, 1, 2, 0, 1, 4, 0, 4, 1, 0, 4, 1, 0, 3, 2, 3, 2, 4, 1, 1, 1, 4, 1, 2, 4, 4, 3, 4, 0, 3, 0, 4, 3, 3, 0, 3, 1, 1, 2, 1, 3, 4, 3, 4, 1, 4, 4, 1, 3, 2, 1, 1, 4, 4, 4, 0, 0, 0, 4, 3, 1, 0, 0, 0, 3, 3, 3, 3, 0, 3, 4, 2, 1, 2, 2, 0, 2, 3, 1, 0, 2, 3, 1, 4, 1, 3, 1, 2, 0, 4, 2, 1, 4, 3, 3, 1, 2, 2, 3, 3, 0, 2, 2, 1, 1, 3, 0, 0, 3, 2, 1, 4, 3, 3, 2, 0, 4, 4, 2, 1, 2, 3, 1, 1, 1, 3, 3, 3, 1, 2, 1, 2, 0, 2, 4, 1, 2, 2, 3, 1, 2, 1, 4, 1, 4, 2, 1, 1, 1, 2, 2, 3, 1, 0, 0, 2, 2, 3, 0, 3, 3, 1, 2, 3, 4, 0, 4, 3, 3, 0, 0, 0, 3, 3, 4, 1, 3, 1, 4, 3, 4, 2, 4, 2, 1, 4, 0, 3, 1, 3, 0, 2, 2, 3, 3, 2, 4, 1, 0, 1, 1, 1, 3, 0, 1, 0, 2, 2, 3, 0, 1, 1, 0, 3, 1, 1, 4, 1, 2, 3, 4, 2, 0, 0, 4, 4, 4, 3, 3, 3, 2, 3, 0, 4, 4, 1, 2, 4, 3, 4, 2, 0, 0, 0, 0, 2, 4, 3, 2, 3, 0, 2, 4, 3, 2, 1, 1, 0, 3, 2, 3, 0, 3, 1, 3, 3, 3, 1, 1, 1, 3, 0, 0, 2, 2, 1, 2, 2, 1, 2, 4, 3, 3, 2, 1, 3, 0, 0, 3, 1, 4, 2, 4, 2, 1, 0, 1, 0, 1, 4, 3, 3, 1, 2, 1, 3, 0, 0, 1, 3, 2, 2, 3, 1, 2, 1, 0, 4, 4, 1, 3, 3, 1, 1, 1, 2, 2, 3, 0, 0, 3, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 0, 0, 4, 0, 3, 0, 3, 4, 2, 3, 2, 0, 3, 4, 1, 2, 0, 4, 2, 1, 1, 4, 4, 4, 3, 1, 3, 0, 1, 4, 2, 3, 2, 0, 2, 4, 3, 1, 3, 4, 1, 0, 0, 1, 0, 0, 3, 3, 0, 3, 0, 3, 3, 1, 4, 1, 1, 0, 0, 3, 1, 3, 2, 1, 4, 0, 3, 3, 1, 0, 1, 0, 1, 2, 2, 1, 4, 3, 0, 0, 3, 4, 2, 1, 3, 3, 2, 0, 3, 4, 3, 0, 4, 0, 3, 0, 1, 3, 3] pubkeycol1229 = [2, 2, 3, 3, 2, 0, 1, 4, 3, 0, 1, 3, 2, 1, 2, 3, 0, 2, 0, 0, 3, 0, 1, 3, 2, 1, 2, 0, 3, 3, 0, 2, 1, 4, 2, 4, 1, 0, 0, 2, 1, 0, 1, 1, 1, 3, 4, 2, 2, 0, 2, 2, 1, 1, 0, 4, 2, 4, 0, 3, 2, 4, 3, 1, 3, 3, 0, 2, 1, 0, 1, 2, 4, 4, 1, 1, 3, 1, 0, 1, 1, 0, 0, 4, 4, 0, 0, 2, 3, 4, 0, 0, 0, 0, 1, 3, 2, 2, 3, 4, 1, 4, 0, 3, 4, 1, 1, 4, 3, 1, 0, 2, 0, 0, 0, 4, 0, 0, 4, 1, 3, 4, 3, 0, 2, 4, 0, 0, 0, 2, 3, 1, 0, 3, 3, 0, 0, 1, 1, 1, 4, 4, 4, 3, 3, 3, 0, 1, 4, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 4, 2, 2, 1, 2, 2, 4, 4, 4, 4, 1, 0, 1, 0, 0, 3, 2, 2, 2, 0, 1, 3, 0, 1, 0, 3, 2, 0, 1, 2, 3, 3, 0, 4, 2, 4, 4, 3, 0, 2, 0, 0, 2, 1, 1, 4, 2, 3, 1, 4, 2, 3, 1, 2, 4, 4, 4, 4, 4, 0, 2, 4, 2, 2, 0, 4, 1, 1, 3, 2, 0, 3, 1, 4, 2, 3, 1, 4, 0, 0, 2, 4, 1, 3, 2, 2, 1, 3, 4, 0, 4, 4, 4, 1, 3, 3, 2, 3, 2, 4, 2, 4, 1, 0, 3, 0, 0, 3, 4, 1, 2, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 3, 3, 1, 2, 1, 1, 4, 0, 2, 2, 3, 2, 2, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 0, 3, 0, 3, 1, 3, 3, 0, 0, 1, 0, 1, 4, 1, 0, 3, 4, 4, 1, 0, 1, 2, 1, 1, 3, 0, 2, 4, 2, 0, 0, 2, 4, 4, 4, 3, 1, 4, 0, 3, 0, 3, 4, 0, 1, 3, 2, 2, 0, 2, 3, 2, 3, 3, 4, 3, 4, 3, 3, 4, 3, 1, 4, 0, 0, 4, 4, 1, 0, 1, 4, 0, 4, 1, 2, 3, 4, 3, 4, 3, 0, 2, 3, 4, 1, 0, 2, 3, 3, 0, 0, 0, 2, 1, 4, 1, 3, 1, 0, 4, 1, 3, 2, 2, 2, 0, 0, 4, 0, 2, 2, 2, 4, 4, 0, 3, 0, 1, 1, 4, 1, 1, 0, 2, 2, 0, 2, 1, 4, 0, 3, 2, 1, 1, 4, 0, 2, 0, 1, 4, 3, 4, 3, 1, 3, 3, 3, 2, 1, 1, 2, 0, 0, 0, 3, 1, 2, 2, 2, 2, 2, 2, 1, 3, 0, 1, 4, 0, 1, 4] pubkeycol1230 = [4, 2, 4, 1, 3, 1, 0, 0, 2, 3, 0, 2, 2, 3, 1, 4, 3, 4, 3, 4, 3, 4, 0, 2, 4, 1, 3, 0, 1, 0, 2, 0, 2, 4, 4, 0, 1, 0, 0, 4, 3, 1, 0, 3, 4, 0, 0, 2, 1, 0, 0, 1, 4, 0, 0, 4, 1, 2, 1, 2, 0, 3, 0, 3, 3, 2, 0, 2, 4, 1, 0, 4, 4, 0, 1, 2, 3, 4, 0, 3, 4, 3, 0, 1, 2, 4, 0, 4, 4, 0, 1, 1, 3, 3, 2, 0, 4, 1, 2, 3, 1, 0, 3, 3, 4, 4, 3, 0, 2, 2, 3, 1, 3, 3, 4, 1, 2, 4, 3, 3, 4, 0, 0, 0, 3, 2, 4, 2, 0, 4, 2, 1, 0, 4, 2, 3, 0, 3, 1, 3, 2, 1, 1, 2, 2, 3, 3, 1, 4, 0, 1, 1, 0, 4, 1, 2, 4, 4, 2, 2, 2, 2, 1, 1, 2, 0, 4, 4, 3, 1, 2, 0, 0, 4, 1, 4, 3, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 4, 3, 3, 1, 3, 1, 2, 4, 3, 0, 1, 1, 4, 4, 3, 4, 3, 0, 4, 2, 3, 4, 0, 3, 0, 2, 4, 2, 1, 1, 0, 3, 4, 2, 4, 3, 1, 2, 3, 0, 1, 2, 3, 0, 0, 0, 0, 3, 1, 0, 4, 2, 3, 2, 1, 1, 4, 3, 1, 1, 0, 4, 4, 2, 2, 3, 3, 0, 2, 3, 0, 2, 4, 3, 4, 3, 1, 4, 3, 3, 2, 0, 4, 4, 3, 2, 1, 1, 1, 2, 2, 3, 2, 0, 4, 2, 2, 1, 3, 2, 4, 0, 3, 0, 0, 4, 2, 2, 1, 3, 4, 3, 2, 1, 2, 4, 0, 2, 1, 3, 0, 4, 1, 3, 4, 2, 3, 4, 0, 2, 3, 2, 3, 4, 1, 0, 2, 2, 4, 2, 4, 1, 3, 4, 0, 1, 2, 2, 4, 2, 3, 4, 0, 3, 0, 2, 3, 1, 4, 0, 0, 4, 4, 0, 4, 2, 1, 0, 4, 3, 2, 1, 1, 0, 0, 4, 3, 2, 3, 2, 1, 3, 1, 1, 2, 0, 0, 0, 3, 2, 2, 2, 2, 0, 4, 0, 2, 1, 0, 3, 0, 1, 1, 2, 1, 3, 2, 4, 2, 3, 0, 4, 4, 4, 2, 3, 0, 2, 2, 3, 3, 1, 0, 2, 2, 3, 4, 0, 2, 4, 1, 2, 0, 4, 4, 4, 3, 2, 2, 2, 1, 2, 1, 2, 3, 0, 0, 2, 2, 0, 3, 2, 3, 0, 3, 0, 3, 1, 1, 1, 4, 3, 3, 1, 4, 2, 4, 1, 2, 0, 1, 3, 0, 3, 0, 0, 4, 0, 2, 4, 1, 3, 3, 3, 3, 2, 4, 4, 4, 0, 1, 1] pubkeycol1231 = [3, 4, 2, 2, 1, 1, 3, 0, 3, 0, 2, 4, 1, 2, 4, 4, 3, 3, 3, 1, 3, 2, 3, 0, 3, 2, 4, 1, 1, 0, 2, 4, 3, 3, 3, 0, 0, 4, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 0, 1, 4, 0, 1, 4, 4, 4, 1, 2, 2, 2, 0, 2, 0, 3, 2, 2, 0, 3, 4, 2, 4, 0, 3, 0, 4, 3, 1, 3, 4, 3, 2, 3, 4, 4, 1, 0, 2, 2, 0, 2, 4, 2, 4, 0, 1, 0, 3, 0, 3, 1, 0, 2, 4, 0, 2, 2, 1, 0, 4, 0, 2, 2, 2, 4, 2, 2, 0, 3, 3, 3, 2, 1, 2, 1, 0, 3, 4, 0, 4, 0, 2, 1, 2, 0, 1, 0, 0, 3, 4, 2, 4, 3, 2, 2, 0, 4, 3, 1, 4, 3, 0, 1, 3, 1, 3, 0, 0, 3, 1, 2, 0, 1, 2, 0, 3, 4, 1, 1, 2, 0, 2, 0, 0, 2, 4, 0, 3, 0, 0, 2, 2, 4, 2, 2, 2, 4, 2, 0, 0, 2, 3, 3, 4, 0, 0, 1, 4, 0, 0, 0, 1, 3, 1, 1, 2, 1, 1, 0, 2, 3, 3, 3, 1, 1, 2, 2, 4, 4, 0, 1, 0, 0, 1, 0, 0, 2, 2, 3, 2, 0, 4, 2, 0, 2, 1, 3, 0, 2, 2, 0, 3, 1, 4, 0, 2, 0, 1, 0, 3, 1, 2, 4, 3, 3, 0, 0, 2, 4, 2, 0, 3, 2, 3, 1, 3, 0, 3, 4, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 3, 4, 2, 3, 0, 3, 3, 1, 1, 4, 0, 0, 2, 4, 2, 2, 4, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 0, 3, 2, 1, 0, 4, 2, 1, 0, 4, 2, 4, 2, 0, 0, 3, 3, 1, 2, 0, 2, 4, 0, 1, 1, 3, 2, 0, 4, 2, 3, 3, 3, 1, 3, 0, 3, 4, 3, 3, 4, 1, 3, 3, 2, 4, 3, 3, 1, 0, 2, 1, 1, 1, 3, 1, 1, 3, 4, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 4, 1, 2, 2, 2, 0, 2, 4, 3, 1, 2, 0, 3, 3, 4, 1, 3, 2, 4, 1, 0, 1, 2, 4, 3, 4, 2, 2, 2, 0, 2, 3, 2, 4, 2, 4, 0, 2, 3, 4, 3, 2, 4, 0, 2, 4, 1, 4, 4, 0, 4, 1, 3, 2, 3, 1, 0, 1, 3, 4, 0, 2, 2, 3, 4, 3, 0, 2, 1, 4, 2, 3, 1, 2, 2, 3, 1, 2, 0, 3, 4, 4, 4, 3, 2, 3, 4, 4, 1, 4, 3, 2, 3, 3, 4, 1, 3, 1, 3, 2] pubkeycol1232 = [1, 2, 2, 2, 3, 4, 0, 3, 3, 3, 3, 1, 3, 0, 0, 1, 2, 3, 2, 3, 4, 2, 0, 3, 4, 4, 0, 2, 4, 3, 4, 0, 2, 0, 1, 2, 0, 3, 2, 3, 2, 3, 0, 0, 2, 1, 3, 4, 2, 0, 2, 1, 1, 3, 2, 2, 4, 4, 1, 0, 3, 0, 4, 3, 1, 4, 1, 3, 2, 2, 1, 1, 3, 2, 4, 0, 2, 1, 4, 0, 1, 1, 2, 3, 1, 3, 0, 2, 2, 2, 3, 2, 1, 2, 1, 4, 1, 3, 4, 4, 1, 0, 3, 2, 4, 2, 3, 1, 0, 4, 4, 0, 0, 3, 4, 0, 1, 1, 0, 0, 2, 3, 0, 2, 0, 0, 3, 2, 3, 1, 0, 2, 4, 1, 3, 2, 3, 3, 4, 0, 4, 3, 2, 0, 0, 1, 4, 3, 1, 3, 1, 3, 0, 3, 0, 3, 3, 4, 1, 0, 3, 0, 0, 2, 1, 3, 3, 2, 1, 4, 2, 4, 1, 2, 0, 2, 3, 1, 2, 1, 1, 1, 3, 4, 1, 4, 3, 1, 1, 4, 1, 0, 0, 4, 2, 3, 0, 1, 3, 4, 3, 0, 2, 4, 1, 1, 0, 4, 4, 3, 0, 1, 0, 2, 4, 4, 3, 2, 2, 3, 4, 1, 1, 0, 3, 4, 3, 2, 0, 0, 4, 0, 4, 1, 4, 1, 0, 4, 3, 1, 3, 4, 4, 2, 0, 2, 2, 3, 0, 2, 2, 2, 3, 0, 0, 2, 3, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 3, 4, 0, 3, 3, 2, 2, 2, 3, 2, 4, 0, 2, 3, 0, 2, 0, 0, 3, 4, 1, 0, 3, 2, 1, 0, 3, 2, 2, 4, 3, 4, 3, 2, 0, 4, 2, 2, 1, 0, 4, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 4, 3, 4, 2, 1, 1, 4, 2, 0, 2, 2, 4, 4, 2, 2, 4, 1, 0, 3, 2, 3, 2, 3, 3, 3, 0, 1, 1, 1, 4, 3, 2, 3, 0, 0, 3, 2, 1, 3, 1, 3, 0, 1, 1, 4, 4, 0, 1, 2, 2, 3, 1, 0, 0, 2, 4, 2, 3, 2, 4, 1, 4, 0, 1, 1, 2, 2, 0, 0, 0, 2, 3, 1, 2, 2, 1, 4, 0, 1, 4, 3, 1, 1, 2, 3, 2, 1, 0, 0, 3, 1, 3, 1, 1, 2, 1, 1, 0, 4, 2, 4, 4, 1, 0, 4, 1, 4, 4, 1, 0, 2, 1, 1, 2, 3, 1, 3, 3, 4, 3, 0, 3, 1, 2, 0, 4, 1, 1, 3, 3, 3, 0, 2, 4, 3, 4, 1, 3, 3, 3, 1, 2, 3, 4, 0, 0, 0, 2, 1, 0, 0, 3, 0, 4, 1, 2, 1, 1, 2, 1] pubkeycol1233 = [0, 1, 4, 4, 1, 1, 2, 0, 2, 3, 2, 4, 2, 4, 0, 2, 1, 3, 3, 2, 1, 3, 2, 0, 1, 2, 1, 1, 3, 4, 2, 4, 2, 1, 4, 3, 0, 4, 3, 3, 4, 1, 0, 0, 4, 1, 2, 3, 1, 1, 0, 3, 4, 0, 1, 2, 0, 1, 2, 1, 2, 4, 2, 3, 3, 3, 4, 3, 4, 0, 1, 0, 0, 0, 0, 3, 2, 2, 2, 2, 3, 3, 4, 4, 0, 0, 2, 4, 1, 1, 2, 2, 1, 4, 1, 3, 3, 2, 2, 2, 1, 0, 1, 2, 0, 1, 3, 2, 4, 3, 0, 3, 3, 3, 4, 2, 4, 1, 2, 1, 4, 1, 0, 4, 3, 0, 4, 3, 2, 2, 1, 4, 1, 1, 1, 4, 2, 2, 0, 0, 4, 1, 4, 4, 3, 3, 3, 1, 2, 0, 1, 1, 2, 0, 2, 4, 2, 3, 0, 2, 2, 3, 2, 2, 3, 4, 2, 4, 0, 4, 1, 3, 0, 1, 2, 2, 3, 4, 0, 4, 4, 3, 1, 0, 0, 3, 2, 0, 3, 0, 0, 3, 3, 2, 2, 1, 1, 0, 4, 3, 2, 3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 2, 4, 0, 1, 1, 3, 4, 2, 3, 3, 1, 0, 0, 0, 4, 0, 4, 2, 1, 4, 2, 1, 1, 1, 2, 4, 2, 2, 1, 4, 3, 4, 0, 3, 3, 2, 1, 2, 3, 3, 0, 3, 1, 3, 0, 3, 4, 0, 3, 0, 4, 0, 4, 3, 4, 0, 2, 3, 0, 2, 0, 4, 2, 0, 4, 1, 0, 0, 2, 2, 1, 0, 3, 1, 3, 0, 1, 3, 3, 1, 0, 2, 1, 0, 4, 0, 2, 0, 0, 0, 4, 4, 2, 4, 3, 1, 2, 4, 2, 0, 1, 3, 2, 1, 1, 1, 4, 4, 4, 3, 0, 4, 4, 2, 2, 1, 4, 3, 4, 3, 3, 4, 1, 4, 0, 3, 2, 0, 3, 3, 2, 4, 1, 4, 3, 2, 2, 1, 1, 1, 0, 2, 1, 3, 1, 0, 2, 4, 1, 1, 3, 4, 0, 3, 0, 3, 0, 2, 0, 4, 3, 1, 2, 1, 0, 3, 0, 2, 4, 2, 3, 1, 2, 0, 2, 3, 1, 1, 1, 0, 0, 3, 1, 3, 1, 0, 3, 1, 1, 0, 2, 3, 2, 4, 1, 3, 1, 3, 2, 4, 3, 1, 4, 4, 1, 2, 0, 4, 4, 4, 2, 3, 0, 1, 3, 3, 2, 3, 1, 0, 0, 0, 4, 4, 1, 4, 4, 1, 2, 0, 3, 0, 0, 2, 0, 2, 4, 1, 0, 2, 4, 0, 1, 1, 0, 0, 1, 1, 1, 3, 2, 4, 0, 2, 3, 2, 3, 3, 2, 2, 0, 0, 4, 1, 1, 4, 3, 4] pubkeycol1234 = [4, 0, 3, 1, 1, 1, 4, 3, 0, 1, 3, 0, 0, 4, 0, 3, 4, 3, 0, 3, 0, 0, 3, 4, 0, 3, 4, 0, 0, 3, 0, 1, 3, 1, 3, 3, 3, 4, 0, 1, 0, 2, 0, 4, 4, 1, 4, 3, 1, 0, 4, 0, 3, 2, 2, 2, 4, 2, 4, 1, 2, 4, 0, 1, 4, 2, 3, 2, 1, 0, 1, 4, 0, 3, 4, 2, 4, 4, 4, 4, 0, 4, 4, 1, 1, 1, 4, 0, 3, 4, 2, 4, 0, 3, 2, 3, 1, 1, 3, 2, 1, 2, 0, 3, 3, 4, 4, 1, 3, 4, 4, 4, 4, 4, 2, 3, 1, 2, 0, 4, 1, 3, 4, 1, 2, 2, 4, 0, 4, 1, 0, 4, 2, 1, 2, 1, 1, 0, 3, 1, 2, 4, 0, 2, 0, 0, 0, 3, 0, 4, 3, 4, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 0, 4, 1, 3, 0, 2, 3, 4, 3, 4, 2, 0, 1, 4, 2, 3, 3, 3, 0, 3, 0, 1, 4, 1, 2, 2, 2, 4, 1, 0, 2, 4, 2, 1, 3, 3, 2, 4, 2, 4, 4, 2, 3, 3, 0, 1, 2, 0, 1, 2, 4, 2, 1, 1, 3, 1, 0, 2, 4, 2, 3, 3, 0, 3, 1, 1, 0, 1, 1, 3, 2, 2, 2, 1, 4, 0, 3, 3, 0, 4, 0, 3, 2, 4, 1, 1, 3, 0, 3, 2, 4, 1, 2, 0, 0, 3, 1, 2, 1, 4, 2, 4, 3, 4, 3, 3, 1, 0, 4, 0, 0, 2, 3, 4, 3, 3, 3, 1, 4, 4, 4, 1, 1, 0, 1, 4, 4, 2, 0, 3, 3, 2, 2, 4, 0, 0, 1, 2, 4, 4, 2, 2, 3, 2, 4, 1, 1, 2, 3, 2, 3, 4, 4, 2, 2, 2, 2, 4, 2, 3, 2, 2, 2, 4, 0, 3, 1, 3, 2, 0, 2, 0, 3, 3, 1, 0, 1, 0, 0, 3, 3, 0, 3, 3, 1, 0, 2, 3, 2, 3, 0, 3, 1, 4, 1, 1, 4, 3, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 3, 4, 1, 2, 0, 2, 2, 1, 4, 0, 3, 2, 3, 0, 2, 1, 4, 3, 0, 2, 4, 4, 4, 2, 2, 4, 3, 2, 0, 2, 1, 1, 3, 4, 0, 2, 3, 1, 1, 4, 4, 1, 2, 4, 0, 4, 0, 4, 0, 4, 0, 4, 2, 3, 3, 3, 0, 0, 1, 3, 3, 0, 4, 0, 3, 1, 2, 3, 2, 2, 0, 1, 3, 3, 0, 0, 3, 0, 0, 3, 1, 2, 1, 1, 4, 1, 0, 3, 4, 3, 2, 0, 4, 1, 3, 3, 2, 1, 2, 3, 4, 0, 0, 0, 0, 0, 3, 0] pubkeycol1235 = [0, 1, 3, 0, 0, 3, 3, 2, 1, 2, 1, 0, 1, 4, 2, 0, 4, 3, 3, 2, 3, 2, 2, 1, 1, 1, 1, 4, 1, 3, 2, 2, 3, 3, 2, 4, 3, 4, 2, 4, 4, 3, 3, 2, 2, 4, 4, 1, 2, 0, 0, 4, 0, 4, 1, 4, 4, 1, 4, 4, 0, 0, 1, 4, 4, 0, 3, 1, 2, 1, 1, 2, 0, 2, 4, 2, 1, 2, 3, 0, 2, 0, 4, 2, 0, 3, 4, 4, 2, 0, 4, 3, 0, 1, 3, 3, 3, 0, 4, 0, 4, 4, 0, 0, 3, 3, 3, 1, 4, 0, 2, 1, 3, 1, 0, 2, 3, 3, 4, 4, 3, 0, 3, 4, 0, 0, 0, 3, 1, 2, 3, 1, 1, 3, 1, 1, 2, 0, 4, 2, 2, 1, 2, 4, 2, 2, 2, 0, 1, 4, 3, 3, 0, 4, 2, 2, 4, 3, 3, 1, 2, 1, 3, 3, 1, 4, 0, 0, 3, 2, 4, 0, 0, 2, 4, 2, 0, 2, 2, 4, 3, 2, 0, 0, 1, 0, 2, 0, 3, 4, 1, 2, 0, 3, 3, 1, 3, 2, 3, 1, 3, 2, 1, 0, 1, 0, 2, 4, 2, 4, 3, 0, 3, 2, 4, 4, 3, 2, 0, 4, 2, 2, 2, 4, 3, 0, 4, 0, 4, 2, 3, 2, 1, 3, 2, 3, 0, 4, 2, 1, 1, 1, 4, 1, 0, 4, 0, 1, 0, 0, 1, 1, 3, 0, 4, 4, 2, 0, 4, 3, 4, 2, 0, 2, 3, 4, 3, 1, 4, 3, 3, 1, 3, 2, 4, 4, 1, 3, 3, 4, 0, 3, 4, 0, 2, 3, 1, 2, 2, 2, 4, 1, 4, 4, 0, 3, 2, 4, 3, 0, 4, 4, 1, 0, 1, 0, 3, 3, 0, 0, 1, 4, 0, 2, 1, 2, 3, 4, 0, 4, 1, 2, 4, 1, 3, 1, 0, 4, 1, 2, 1, 3, 3, 4, 1, 0, 1, 4, 4, 4, 3, 3, 3, 4, 3, 0, 4, 4, 3, 2, 1, 1, 3, 3, 4, 4, 0, 1, 2, 0, 3, 2, 0, 0, 4, 3, 4, 0, 1, 0, 1, 2, 4, 0, 0, 1, 4, 3, 2, 4, 3, 0, 1, 3, 4, 4, 0, 4, 4, 3, 3, 3, 1, 4, 0, 4, 4, 3, 3, 4, 0, 3, 3, 4, 2, 0, 0, 2, 3, 1, 3, 2, 0, 4, 2, 1, 1, 2, 1, 1, 2, 0, 0, 3, 3, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 0, 4, 1, 0, 4, 2, 0, 4, 2, 4, 2, 2, 4, 3, 2, 2, 3, 4, 1, 0, 2, 4, 1, 2, 0, 1, 4, 4, 0, 0, 1, 0, 3, 1, 2, 1, 0, 2, 2, 2, 3, 2, 3] pubkeycol1236 = [0, 2, 0, 2, 4, 4, 3, 1, 0, 1, 0, 4, 4, 2, 0, 2, 0, 4, 0, 2, 3, 2, 4, 3, 2, 3, 0, 4, 1, 4, 0, 2, 0, 0, 0, 3, 0, 0, 2, 4, 2, 4, 4, 1, 3, 2, 4, 0, 4, 1, 4, 0, 1, 2, 3, 1, 4, 3, 2, 2, 0, 2, 4, 3, 4, 3, 3, 1, 0, 3, 0, 0, 2, 4, 1, 2, 0, 2, 3, 3, 2, 2, 3, 1, 4, 4, 0, 1, 2, 4, 0, 0, 0, 0, 4, 4, 1, 4, 3, 4, 3, 3, 4, 2, 3, 1, 4, 1, 4, 2, 3, 2, 1, 2, 3, 0, 3, 3, 2, 3, 4, 1, 0, 2, 1, 1, 1, 3, 2, 1, 2, 1, 2, 2, 4, 3, 0, 1, 3, 3, 3, 3, 4, 4, 4, 3, 3, 1, 3, 3, 3, 0, 0, 2, 2, 3, 1, 0, 1, 3, 0, 1, 2, 3, 0, 3, 1, 0, 2, 0, 4, 1, 0, 1, 4, 2, 2, 0, 3, 4, 3, 0, 4, 0, 1, 4, 2, 1, 3, 1, 4, 3, 4, 2, 0, 1, 4, 0, 3, 3, 1, 1, 4, 4, 4, 1, 2, 4, 4, 4, 3, 1, 3, 4, 3, 4, 1, 3, 3, 0, 3, 3, 2, 1, 4, 3, 4, 3, 2, 3, 0, 2, 0, 3, 4, 4, 0, 3, 0, 0, 2, 1, 3, 4, 0, 4, 3, 4, 1, 0, 0, 0, 3, 1, 3, 1, 0, 2, 3, 4, 3, 4, 2, 1, 4, 3, 0, 3, 1, 4, 3, 2, 0, 2, 4, 2, 4, 4, 3, 1, 4, 1, 2, 1, 0, 4, 1, 2, 3, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 4, 0, 4, 4, 0, 2, 3, 1, 2, 3, 3, 4, 3, 4, 2, 1, 1, 2, 4, 4, 2, 1, 4, 4, 1, 4, 3, 4, 0, 3, 1, 1, 3, 3, 2, 0, 3, 1, 3, 1, 1, 2, 3, 3, 0, 4, 0, 3, 3, 4, 1, 4, 2, 1, 0, 1, 3, 2, 4, 4, 1, 0, 0, 4, 3, 3, 1, 0, 4, 0, 2, 0, 3, 1, 2, 4, 3, 2, 0, 3, 2, 2, 2, 2, 4, 0, 1, 2, 2, 1, 0, 2, 3, 4, 0, 2, 0, 4, 3, 1, 0, 1, 4, 4, 1, 3, 0, 3, 0, 1, 2, 0, 3, 4, 0, 0, 3, 2, 2, 0, 4, 4, 1, 1, 2, 1, 1, 4, 4, 3, 2, 2, 1, 0, 1, 3, 1, 4, 2, 2, 0, 0, 3, 3, 4, 1, 3, 1, 0, 3, 1, 4, 4, 2, 2, 4, 2, 4, 3, 3, 3, 0, 2, 2, 0, 1, 4, 0, 2, 2, 0, 1, 3, 1, 3, 0, 0, 1, 3] pubkeycol1237 = [4, 3, 0, 3, 0, 4, 1, 0, 4, 0, 2, 1, 3, 2, 2, 2, 4, 0, 0, 2, 1, 4, 1, 0, 3, 4, 3, 1, 1, 1, 3, 4, 4, 4, 0, 2, 3, 4, 1, 3, 2, 4, 1, 4, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 3, 1, 4, 0, 2, 2, 4, 3, 2, 2, 4, 1, 4, 2, 1, 2, 0, 1, 2, 3, 0, 4, 2, 0, 2, 4, 2, 2, 3, 3, 3, 3, 1, 2, 4, 3, 0, 3, 2, 1, 3, 2, 1, 0, 1, 2, 1, 4, 0, 0, 3, 4, 3, 2, 0, 4, 2, 1, 0, 2, 0, 3, 0, 4, 4, 3, 2, 3, 4, 3, 0, 0, 4, 1, 4, 4, 4, 4, 3, 2, 0, 4, 3, 1, 1, 1, 1, 3, 3, 0, 4, 0, 0, 0, 3, 4, 4, 2, 0, 2, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 4, 0, 2, 3, 2, 2, 2, 3, 1, 0, 4, 3, 3, 1, 3, 2, 1, 0, 1, 4, 3, 2, 1, 0, 0, 4, 2, 3, 2, 3, 4, 0, 0, 1, 1, 3, 1, 3, 0, 3, 3, 3, 0, 4, 2, 4, 3, 2, 4, 0, 1, 2, 3, 2, 2, 0, 2, 3, 3, 1, 1, 0, 2, 2, 3, 4, 1, 2, 4, 2, 1, 3, 2, 3, 0, 0, 0, 4, 0, 2, 2, 0, 4, 4, 1, 3, 1, 0, 0, 4, 2, 1, 3, 3, 1, 3, 4, 0, 1, 1, 4, 0, 1, 2, 2, 0, 1, 0, 0, 2, 3, 3, 2, 4, 1, 2, 3, 1, 3, 1, 3, 3, 4, 2, 4, 2, 3, 2, 2, 3, 0, 2, 4, 2, 3, 1, 0, 4, 1, 4, 3, 0, 4, 3, 4, 4, 1, 3, 3, 4, 0, 1, 3, 2, 4, 2, 1, 1, 2, 0, 3, 0, 3, 0, 4, 2, 2, 3, 0, 2, 1, 0, 1, 0, 2, 4, 0, 2, 3, 4, 2, 1, 0, 2, 0, 3, 2, 3, 2, 2, 3, 1, 4, 3, 0, 2, 3, 1, 3, 1, 2, 1, 0, 3, 2, 4, 2, 3, 0, 0, 0, 3, 3, 2, 3, 1, 1, 2, 2, 3, 0, 0, 0, 3, 3, 3, 3, 2, 3, 4, 4, 2, 3, 3, 1, 0, 2, 2, 3, 2, 1, 4, 0, 0, 3, 2, 2, 0, 0, 3, 3, 3, 2, 2, 3, 2, 3, 1, 1, 1, 3, 2, 1, 2, 3, 1, 1, 1, 4, 1, 2, 3, 3, 3, 2, 4, 0, 1, 2, 1, 3, 2, 2, 3, 3, 4, 3, 4, 2, 4, 3, 3, 2, 0, 3, 0, 2, 4, 2, 3, 0, 1, 4, 1, 2, 3, 0, 3, 2, 2, 3, 1, 4] pubkeycol1238 = [2, 3, 4, 4, 1, 3, 4, 1, 3, 4, 4, 1, 1, 2, 0, 3, 2, 2, 4, 1, 4, 4, 0, 4, 4, 2, 0, 4, 3, 0, 4, 1, 2, 1, 2, 1, 1, 1, 3, 2, 0, 2, 4, 2, 0, 0, 3, 0, 1, 4, 2, 2, 3, 1, 0, 2, 4, 4, 4, 0, 4, 3, 3, 3, 2, 3, 0, 1, 0, 1, 2, 4, 4, 3, 0, 0, 1, 4, 1, 3, 3, 4, 3, 2, 0, 2, 4, 1, 4, 1, 1, 2, 3, 4, 0, 2, 3, 3, 4, 2, 0, 4, 3, 1, 3, 4, 1, 4, 4, 1, 1, 0, 2, 0, 0, 2, 4, 0, 2, 0, 3, 1, 1, 3, 4, 0, 2, 3, 0, 3, 2, 3, 2, 3, 1, 3, 3, 4, 1, 0, 2, 1, 0, 0, 3, 0, 2, 3, 1, 0, 3, 0, 1, 0, 3, 3, 1, 2, 0, 0, 1, 0, 2, 3, 1, 0, 3, 4, 3, 4, 1, 4, 1, 4, 0, 3, 3, 2, 2, 3, 1, 3, 0, 2, 2, 0, 0, 2, 0, 3, 0, 2, 3, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 4, 0, 4, 3, 3, 3, 3, 2, 4, 1, 0, 1, 4, 1, 1, 1, 4, 3, 3, 3, 0, 3, 0, 1, 3, 3, 3, 2, 3, 1, 4, 1, 2, 1, 2, 4, 2, 3, 0, 3, 4, 3, 4, 1, 0, 3, 0, 3, 0, 1, 0, 2, 0, 3, 4, 3, 4, 2, 4, 4, 0, 3, 4, 2, 4, 3, 4, 4, 3, 4, 2, 0, 0, 0, 3, 1, 2, 2, 4, 1, 0, 1, 4, 3, 0, 2, 2, 0, 3, 2, 0, 3, 0, 2, 4, 2, 4, 1, 3, 0, 3, 2, 3, 2, 0, 3, 4, 3, 4, 3, 0, 4, 2, 1, 1, 2, 2, 0, 0, 0, 0, 3, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 3, 3, 4, 0, 2, 3, 1, 3, 2, 0, 3, 1, 3, 1, 0, 0, 4, 4, 2, 0, 0, 2, 1, 3, 2, 0, 1, 2, 1, 0, 0, 4, 4, 1, 1, 0, 2, 1, 2, 4, 1, 1, 1, 4, 3, 2, 2, 0, 3, 3, 1, 1, 4, 0, 1, 1, 4, 1, 4, 2, 2, 4, 2, 4, 0, 3, 2, 2, 0, 0, 2, 0, 0, 1, 4, 0, 4, 2, 3, 2, 4, 1, 1, 0, 4, 0, 0, 4, 2, 4, 0, 1, 4, 1, 0, 4, 0, 1, 1, 4, 1, 0, 2, 2, 0, 0, 3, 2, 0, 3, 4, 4, 1, 3, 0, 4, 0, 4, 4, 1, 1, 4, 3, 4, 2, 0, 0, 0, 2, 2, 3, 2, 4, 1, 3, 2, 0, 0, 1, 2, 3, 2, 2, 4] pubkeycol1239 = [4, 1, 2, 2, 4, 3, 0, 4, 3, 0, 0, 1, 0, 4, 0, 1, 2, 4, 0, 0, 3, 3, 4, 1, 1, 0, 2, 3, 3, 3, 2, 3, 1, 2, 3, 2, 2, 4, 1, 1, 3, 1, 4, 3, 3, 0, 1, 2, 4, 2, 3, 3, 2, 2, 3, 4, 1, 2, 0, 1, 0, 2, 0, 4, 4, 0, 1, 0, 0, 3, 4, 3, 2, 3, 0, 1, 1, 4, 3, 4, 3, 3, 4, 3, 4, 1, 1, 3, 1, 2, 3, 4, 2, 3, 1, 4, 0, 2, 4, 4, 2, 1, 3, 0, 3, 0, 0, 0, 0, 4, 0, 3, 1, 0, 1, 4, 0, 4, 4, 4, 3, 2, 3, 3, 2, 4, 4, 2, 4, 4, 4, 4, 0, 4, 0, 2, 2, 0, 1, 4, 3, 3, 1, 3, 4, 0, 2, 3, 0, 1, 4, 4, 0, 3, 0, 4, 3, 1, 2, 4, 0, 0, 4, 0, 2, 1, 0, 0, 4, 4, 0, 2, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 3, 3, 0, 4, 3, 4, 1, 3, 3, 0, 3, 2, 2, 2, 3, 4, 1, 2, 4, 3, 3, 0, 0, 4, 1, 1, 3, 3, 4, 1, 2, 1, 3, 3, 2, 0, 1, 1, 1, 2, 1, 2, 3, 4, 3, 0, 4, 1, 2, 2, 0, 2, 0, 1, 0, 2, 4, 3, 4, 3, 4, 1, 3, 2, 1, 0, 1, 1, 4, 2, 1, 3, 3, 0, 3, 4, 1, 0, 3, 3, 3, 1, 1, 1, 2, 1, 2, 4, 0, 2, 2, 0, 3, 1, 3, 4, 3, 1, 3, 1, 2, 0, 2, 0, 2, 3, 0, 4, 4, 4, 4, 1, 3, 4, 4, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 3, 4, 3, 0, 3, 3, 0, 0, 4, 2, 4, 1, 0, 4, 1, 2, 2, 2, 2, 0, 3, 1, 0, 3, 0, 1, 1, 3, 0, 2, 2, 2, 2, 1, 1, 3, 0, 3, 3, 4, 3, 1, 2, 1, 2, 0, 2, 0, 3, 2, 2, 1, 0, 1, 1, 3, 0, 2, 4, 1, 3, 0, 3, 0, 4, 1, 1, 0, 4, 1, 4, 0, 4, 0, 3, 2, 3, 1, 2, 2, 2, 0, 0, 4, 3, 3, 4, 4, 4, 3, 3, 1, 3, 2, 0, 1, 3, 2, 1, 2, 0, 3, 4, 3, 4, 1, 2, 2, 1, 1, 1, 2, 3, 0, 3, 4, 4, 1, 1, 1, 1, 3, 0, 3, 4, 2, 4, 2, 2, 4, 0, 1, 1, 3, 1, 3, 4, 3, 3, 2, 4, 1, 0, 3, 3, 4, 0, 4, 1, 1, 4, 0, 0, 0, 0, 4, 1, 1, 1, 4, 4, 4, 1, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3] pubkeycol1240 = [4, 2, 0, 3, 1, 0, 3, 3, 2, 4, 3, 2, 2, 4, 1, 1, 1, 3, 2, 0, 2, 2, 3, 3, 4, 2, 0, 2, 3, 2, 0, 3, 4, 1, 0, 2, 3, 4, 0, 3, 2, 1, 3, 0, 0, 2, 2, 3, 4, 1, 2, 1, 3, 4, 0, 3, 4, 3, 3, 4, 4, 3, 3, 0, 2, 2, 4, 0, 4, 3, 2, 4, 1, 1, 2, 2, 0, 1, 1, 4, 3, 0, 0, 3, 0, 3, 1, 4, 2, 3, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 4, 0, 3, 0, 3, 2, 0, 0, 4, 0, 2, 2, 0, 4, 2, 4, 3, 4, 1, 2, 0, 1, 1, 0, 4, 2, 3, 1, 0, 2, 4, 2, 2, 1, 1, 3, 3, 4, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 3, 2, 2, 0, 1, 1, 1, 2, 1, 3, 2, 1, 2, 4, 0, 1, 0, 4, 1, 3, 0, 0, 0, 0, 1, 3, 0, 0, 2, 0, 1, 4, 3, 0, 0, 0, 3, 1, 2, 0, 2, 3, 4, 2, 2, 0, 4, 4, 0, 2, 2, 2, 0, 3, 3, 0, 0, 2, 3, 0, 0, 0, 4, 4, 3, 2, 0, 0, 4, 3, 4, 1, 4, 0, 2, 2, 0, 2, 3, 0, 2, 0, 3, 0, 0, 1, 2, 2, 1, 4, 3, 0, 4, 3, 1, 2, 3, 2, 1, 0, 3, 2, 4, 2, 4, 2, 4, 3, 4, 2, 4, 1, 3, 1, 2, 0, 2, 4, 1, 0, 0, 2, 3, 2, 3, 0, 4, 2, 4, 1, 4, 2, 2, 0, 2, 2, 2, 1, 0, 4, 2, 3, 1, 1, 2, 1, 3, 0, 4, 3, 0, 0, 2, 4, 2, 1, 2, 3, 0, 0, 4, 0, 0, 1, 3, 3, 2, 0, 3, 1, 0, 2, 0, 1, 3, 3, 4, 4, 1, 3, 4, 2, 1, 0, 0, 1, 4, 2, 0, 4, 2, 3, 3, 3, 4, 0, 0, 1, 1, 2, 3, 0, 1, 4, 3, 4, 0, 2, 4, 2, 2, 1, 3, 4, 3, 4, 0, 1, 0, 1, 4, 3, 3, 3, 0, 4, 2, 2, 2, 1, 3, 3, 0, 2, 0, 1, 3, 1, 0, 0, 0, 1, 1, 4, 4, 0, 0, 3, 1, 4, 0, 4, 4, 2, 3, 3, 2, 2, 2, 3, 4, 1, 3, 4, 2, 3, 1, 2, 4, 1, 1, 4, 1, 4, 2, 0, 3, 4, 3, 0, 0, 4, 2, 1, 3, 2, 3, 0, 3, 2, 2, 2, 4, 3, 0, 1, 4, 3, 1, 2, 2, 3, 2, 3, 3, 1, 0, 1, 2, 0, 3, 4, 0, 2, 4, 0, 0, 0, 0, 0, 1, 4, 1, 0, 1, 1, 4, 0, 1] pubkeycol1241 = [1, 4, 3, 0, 1, 1, 1, 2, 4, 4, 1, 3, 1, 2, 2, 2, 2, 4, 3, 2, 2, 2, 3, 4, 0, 3, 4, 1, 0, 1, 0, 2, 0, 2, 4, 2, 4, 2, 0, 1, 3, 0, 0, 0, 2, 0, 2, 4, 0, 4, 0, 1, 0, 1, 1, 0, 4, 1, 1, 3, 3, 3, 1, 2, 1, 4, 3, 0, 3, 3, 1, 4, 1, 1, 2, 2, 4, 1, 3, 1, 3, 3, 4, 0, 4, 3, 0, 4, 2, 2, 2, 0, 3, 1, 4, 4, 0, 2, 4, 3, 4, 2, 2, 3, 2, 2, 1, 1, 1, 1, 4, 0, 1, 4, 0, 2, 4, 3, 4, 3, 2, 0, 1, 2, 0, 1, 3, 0, 0, 4, 1, 4, 3, 1, 4, 4, 3, 3, 1, 3, 4, 3, 0, 3, 0, 3, 2, 3, 3, 0, 0, 4, 3, 0, 4, 2, 2, 2, 4, 3, 4, 1, 2, 0, 1, 3, 0, 2, 3, 4, 1, 3, 1, 3, 1, 4, 2, 2, 0, 3, 1, 0, 1, 1, 1, 3, 0, 1, 0, 2, 0, 2, 4, 0, 0, 3, 0, 4, 3, 4, 3, 1, 1, 0, 2, 1, 1, 1, 3, 3, 2, 0, 0, 3, 4, 1, 3, 4, 3, 3, 1, 3, 1, 1, 3, 2, 2, 3, 3, 3, 1, 3, 3, 0, 0, 3, 3, 1, 0, 2, 1, 3, 0, 0, 2, 2, 1, 0, 1, 0, 4, 1, 0, 4, 2, 4, 2, 1, 2, 0, 2, 3, 0, 2, 0, 2, 4, 3, 1, 1, 0, 0, 2, 3, 2, 1, 0, 0, 1, 0, 3, 3, 0, 4, 3, 2, 2, 2, 2, 2, 3, 1, 0, 4, 0, 2, 4, 4, 0, 1, 1, 2, 2, 4, 3, 1, 1, 0, 0, 3, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 3, 0, 2, 1, 3, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 4, 4, 3, 0, 2, 0, 1, 2, 1, 2, 3, 3, 1, 4, 2, 3, 4, 4, 4, 0, 1, 2, 1, 4, 2, 3, 4, 3, 4, 0, 1, 3, 2, 4, 0, 1, 4, 4, 4, 3, 4, 1, 4, 1, 4, 1, 1, 0, 0, 2, 2, 3, 4, 0, 3, 0, 4, 0, 3, 2, 1, 0, 2, 2, 3, 3, 2, 0, 2, 1, 0, 4, 0, 4, 0, 0, 4, 2, 3, 0, 4, 0, 0, 3, 2, 0, 0, 3, 1, 4, 0, 0, 3, 3, 3, 0, 0, 3, 3, 4, 1, 1, 4, 1, 3, 0, 2, 1, 3, 1, 0, 1, 4, 2, 1, 2, 1, 2, 2, 2, 1, 2, 4, 1, 3, 2, 2, 2, 2, 0, 3, 2, 1, 2, 1, 3, 1, 2, 2, 1, 3, 0, 4] pubkeycol1242 = [1, 1, 4, 0, 1, 2, 2, 2, 3, 2, 0, 4, 3, 4, 2, 0, 3, 2, 4, 0, 2, 1, 0, 0, 4, 1, 0, 2, 1, 1, 0, 4, 0, 3, 4, 2, 3, 0, 4, 2, 4, 2, 0, 2, 0, 1, 2, 1, 0, 4, 0, 2, 4, 0, 2, 0, 3, 4, 3, 2, 4, 3, 3, 2, 2, 0, 2, 0, 0, 3, 1, 3, 1, 0, 0, 2, 3, 4, 2, 2, 4, 3, 3, 4, 1, 3, 3, 2, 0, 3, 1, 3, 2, 1, 1, 0, 0, 0, 1, 4, 1, 3, 3, 4, 0, 0, 1, 1, 4, 0, 1, 3, 4, 3, 0, 1, 0, 0, 0, 3, 4, 1, 2, 0, 1, 0, 0, 4, 2, 0, 2, 0, 0, 2, 3, 3, 3, 2, 1, 1, 4, 2, 1, 1, 3, 2, 1, 2, 4, 4, 0, 3, 4, 1, 1, 0, 1, 3, 0, 3, 2, 0, 3, 0, 4, 2, 3, 3, 1, 1, 3, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 4, 3, 1, 1, 2, 4, 1, 0, 0, 2, 2, 2, 4, 4, 2, 4, 0, 2, 0, 4, 3, 3, 0, 0, 0, 0, 2, 2, 4, 0, 3, 4, 3, 1, 1, 3, 3, 4, 3, 0, 2, 0, 0, 0, 2, 4, 3, 1, 4, 2, 0, 4, 0, 0, 0, 4, 3, 4, 1, 2, 2, 4, 3, 3, 0, 4, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 4, 2, 0, 3, 0, 3, 1, 4, 1, 1, 1, 4, 1, 2, 1, 1, 1, 0, 4, 3, 1, 0, 2, 2, 0, 4, 0, 1, 0, 4, 4, 4, 1, 4, 4, 1, 2, 2, 0, 1, 3, 3, 3, 2, 3, 4, 4, 3, 1, 3, 4, 1, 1, 1, 2, 0, 0, 1, 3, 3, 4, 2, 0, 2, 1, 3, 2, 4, 0, 1, 1, 1, 1, 0, 0, 1, 0, 3, 0, 1, 0, 3, 3, 3, 3, 1, 3, 4, 0, 3, 4, 1, 3, 3, 0, 0, 2, 0, 3, 4, 3, 3, 0, 1, 0, 1, 0, 0, 2, 4, 4, 1, 1, 0, 1, 3, 2, 0, 3, 2, 0, 3, 4, 1, 2, 4, 3, 3, 4, 1, 4, 0, 3, 3, 4, 0, 0, 3, 4, 4, 3, 1, 0, 3, 0, 0, 0, 0, 4, 0, 2, 4, 1, 2, 3, 2, 3, 1, 2, 2, 1, 0, 0, 4, 3, 0, 1, 1, 3, 3, 2, 0, 2, 3, 4, 1, 3, 0, 2, 1, 3, 3, 3, 1, 2, 2, 0, 0, 1, 4, 1, 0, 3, 1, 1, 4, 4, 3, 2, 1, 1, 0, 1, 0, 3, 0, 3, 1, 3, 3, 2, 3, 4] pubkeycol1243 = [2, 4, 1, 1, 2, 4, 3, 3, 3, 3, 2, 0, 3, 0, 1, 2, 1, 4, 4, 1, 1, 3, 1, 4, 3, 1, 3, 1, 2, 2, 2, 4, 0, 1, 1, 0, 1, 4, 4, 0, 4, 1, 0, 1, 3, 1, 0, 1, 2, 0, 3, 4, 1, 2, 0, 0, 1, 0, 2, 0, 2, 4, 1, 3, 2, 1, 0, 4, 0, 0, 0, 1, 3, 2, 0, 3, 1, 1, 2, 3, 3, 1, 2, 1, 0, 2, 1, 4, 1, 3, 0, 1, 1, 0, 0, 2, 3, 2, 3, 0, 1, 1, 1, 1, 3, 1, 0, 4, 2, 1, 2, 1, 1, 4, 3, 0, 0, 1, 2, 3, 0, 4, 4, 2, 2, 1, 3, 1, 2, 4, 1, 4, 0, 2, 2, 1, 1, 4, 3, 2, 4, 3, 2, 3, 4, 1, 4, 1, 3, 3, 4, 3, 1, 0, 3, 1, 4, 0, 0, 2, 0, 3, 4, 1, 3, 0, 0, 1, 1, 0, 2, 1, 3, 2, 3, 2, 0, 1, 2, 2, 3, 2, 0, 2, 1, 4, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 1, 3, 4, 2, 3, 0, 2, 0, 1, 3, 3, 4, 4, 3, 4, 2, 1, 0, 0, 3, 4, 0, 3, 3, 4, 3, 4, 0, 3, 0, 0, 4, 2, 0, 3, 1, 4, 1, 1, 0, 3, 3, 0, 0, 2, 1, 0, 4, 1, 0, 4, 4, 0, 0, 3, 1, 4, 3, 0, 2, 3, 1, 0, 1, 3, 0, 2, 2, 4, 3, 1, 3, 3, 1, 0, 3, 2, 1, 2, 4, 1, 3, 1, 1, 1, 4, 1, 2, 0, 3, 0, 3, 3, 2, 0, 3, 0, 0, 4, 0, 2, 4, 0, 0, 0, 2, 4, 0, 3, 1, 0, 3, 3, 1, 2, 1, 2, 4, 3, 3, 0, 2, 2, 3, 3, 1, 4, 1, 2, 1, 1, 2, 3, 0, 2, 3, 2, 1, 0, 3, 1, 0, 4, 2, 2, 1, 3, 3, 1, 2, 2, 0, 2, 1, 1, 1, 0, 4, 1, 2, 3, 0, 0, 2, 4, 2, 4, 1, 3, 0, 0, 1, 1, 0, 4, 1, 1, 0, 0, 4, 3, 4, 2, 0, 2, 2, 2, 2, 1, 2, 3, 0, 0, 1, 1, 1, 3, 2, 4, 3, 0, 0, 2, 0, 4, 2, 3, 4, 0, 3, 3, 1, 3, 0, 1, 0, 3, 2, 1, 2, 0, 3, 4, 1, 1, 2, 4, 3, 0, 0, 2, 4, 3, 1, 0, 0, 3, 0, 2, 4, 0, 0, 1, 3, 4, 3, 1, 4, 2, 2, 0, 3, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 3, 3, 3, 1, 3, 0, 3, 2, 3, 3, 4, 2, 1, 4, 3, 2, 4, 2, 2, 2, 2, 1] pubkeycol1244 = [4, 0, 4, 2, 1, 4, 1, 3, 2, 0, 4, 3, 0, 2, 1, 0, 1, 1, 1, 3, 1, 0, 1, 0, 1, 0, 4, 4, 3, 4, 1, 3, 3, 1, 2, 3, 2, 4, 3, 2, 3, 4, 3, 1, 3, 2, 2, 4, 1, 0, 4, 4, 4, 0, 2, 4, 1, 4, 2, 1, 2, 4, 0, 2, 1, 3, 2, 3, 0, 0, 4, 4, 2, 4, 3, 1, 0, 0, 4, 2, 2, 1, 4, 3, 1, 4, 1, 2, 1, 1, 0, 3, 0, 2, 3, 4, 3, 0, 4, 1, 1, 0, 0, 0, 2, 2, 0, 2, 3, 0, 2, 3, 3, 2, 4, 0, 2, 1, 0, 0, 0, 3, 3, 2, 2, 1, 4, 0, 0, 2, 4, 4, 1, 0, 4, 3, 4, 4, 0, 2, 3, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 4, 0, 2, 2, 3, 4, 3, 4, 0, 4, 1, 2, 3, 1, 1, 0, 2, 0, 0, 1, 0, 0, 4, 2, 4, 2, 1, 4, 1, 4, 4, 2, 4, 2, 1, 4, 0, 4, 0, 3, 4, 2, 1, 0, 4, 0, 4, 4, 3, 0, 1, 0, 2, 1, 1, 4, 0, 2, 3, 0, 4, 4, 2, 4, 4, 4, 2, 1, 0, 0, 2, 2, 4, 1, 3, 4, 1, 4, 1, 2, 2, 3, 4, 3, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 4, 1, 3, 1, 0, 4, 2, 2, 2, 0, 0, 3, 3, 4, 0, 4, 1, 1, 1, 4, 0, 0, 4, 0, 3, 4, 4, 0, 3, 0, 3, 0, 3, 3, 4, 3, 0, 2, 2, 0, 1, 4, 4, 3, 1, 4, 4, 2, 2, 2, 0, 1, 2, 3, 1, 2, 3, 2, 2, 2, 0, 3, 1, 4, 1, 1, 0, 1, 4, 3, 1, 1, 3, 3, 0, 4, 1, 4, 1, 3, 1, 3, 3, 3, 3, 2, 1, 3, 3, 2, 0, 0, 0, 0, 1, 4, 2, 4, 3, 1, 0, 1, 2, 0, 3, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2, 4, 2, 2, 3, 0, 2, 4, 0, 2, 4, 0, 4, 3, 1, 3, 1, 0, 2, 0, 3, 2, 4, 4, 0, 4, 3, 4, 4, 4, 4, 0, 3, 1, 2, 2, 0, 0, 0, 1, 4, 4, 1, 3, 3, 1, 2, 0, 4, 3, 3, 2, 0, 2, 1, 0, 1, 2, 4, 1, 1, 0, 4, 4, 4, 3, 2, 2, 4, 2, 4, 1, 2, 0, 0, 0, 1, 2, 0, 2, 3, 0, 4, 2, 2, 0, 0, 4, 4, 3, 4, 4, 1, 3, 4, 4, 2, 1, 0, 2, 4, 1, 2, 3, 2, 3, 4, 2, 2, 1, 4, 3, 0, 2, 3] pubkeycol1245 = [0, 1, 0, 1, 3, 1, 4, 0, 3, 4, 2, 2, 1, 4, 4, 0, 3, 2, 0, 1, 0, 4, 2, 2, 1, 0, 4, 0, 2, 1, 0, 0, 2, 4, 4, 1, 4, 2, 1, 2, 0, 3, 2, 0, 4, 4, 2, 1, 0, 1, 4, 4, 4, 0, 0, 1, 2, 0, 3, 2, 0, 2, 3, 2, 0, 2, 4, 4, 0, 3, 4, 1, 4, 4, 1, 3, 1, 1, 1, 2, 4, 0, 2, 3, 3, 1, 0, 3, 4, 2, 0, 3, 3, 4, 4, 3, 0, 0, 0, 0, 4, 1, 0, 3, 0, 3, 1, 3, 2, 3, 4, 0, 3, 4, 2, 4, 2, 0, 1, 2, 3, 0, 1, 3, 4, 2, 2, 2, 2, 3, 1, 3, 2, 3, 0, 3, 2, 0, 1, 3, 3, 4, 4, 3, 3, 2, 4, 1, 1, 0, 3, 3, 1, 0, 0, 0, 0, 3, 4, 2, 2, 2, 2, 1, 0, 1, 2, 3, 3, 2, 4, 4, 4, 4, 2, 0, 2, 3, 0, 3, 4, 2, 1, 0, 1, 4, 0, 3, 2, 4, 4, 4, 4, 3, 4, 2, 3, 2, 1, 1, 0, 3, 2, 4, 0, 3, 4, 4, 3, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 4, 2, 4, 4, 2, 1, 0, 3, 3, 0, 4, 3, 3, 4, 0, 1, 0, 0, 1, 2, 3, 2, 2, 4, 3, 4, 3, 0, 4, 3, 0, 1, 4, 0, 1, 4, 4, 3, 2, 3, 4, 3, 2, 1, 0, 1, 4, 0, 0, 0, 0, 0, 2, 0, 3, 1, 3, 1, 2, 2, 2, 1, 0, 0, 4, 0, 2, 0, 0, 0, 4, 3, 4, 0, 4, 3, 2, 3, 1, 3, 2, 4, 1, 1, 4, 0, 3, 0, 0, 2, 3, 4, 0, 4, 2, 2, 3, 1, 3, 3, 2, 3, 0, 2, 0, 0, 4, 2, 4, 2, 3, 0, 2, 1, 0, 3, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 2, 1, 4, 1, 2, 4, 0, 0, 2, 4, 2, 3, 0, 2, 1, 4, 3, 0, 1, 1, 0, 0, 1, 0, 3, 4, 2, 2, 0, 0, 0, 4, 0, 4, 1, 4, 0, 3, 4, 1, 2, 3, 4, 1, 0, 1, 2, 4, 3, 3, 4, 4, 3, 1, 2, 1, 1, 4, 0, 2, 4, 4, 2, 3, 3, 1, 0, 0, 3, 2, 2, 0, 1, 4, 0, 1, 3, 4, 4, 4, 2, 1, 4, 4, 4, 3, 0, 3, 1, 1, 3, 3, 1, 0, 3, 0, 2, 2, 2, 0, 2, 0, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 3, 4, 1, 4, 4, 1, 4, 1, 3, 3, 0, 4, 4, 4, 0, 2, 0] pubkeycol1246 = [3, 1, 3, 4, 2, 4, 2, 3, 4, 1, 3, 2, 3, 4, 0, 3, 2, 4, 4, 1, 0, 3, 4, 3, 3, 0, 2, 1, 3, 1, 2, 1, 4, 4, 3, 3, 0, 0, 4, 0, 2, 3, 0, 0, 0, 2, 3, 2, 2, 1, 4, 1, 4, 0, 0, 3, 1, 3, 4, 3, 4, 4, 2, 0, 1, 2, 2, 3, 1, 4, 1, 2, 1, 0, 2, 3, 4, 0, 3, 3, 3, 3, 3, 3, 1, 0, 3, 4, 0, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 4, 4, 2, 1, 1, 4, 2, 3, 2, 2, 4, 3, 1, 1, 4, 4, 1, 1, 0, 2, 3, 4, 3, 0, 1, 1, 1, 4, 1, 4, 4, 4, 1, 3, 1, 2, 2, 4, 2, 4, 3, 4, 1, 2, 0, 0, 4, 2, 3, 0, 4, 3, 3, 2, 0, 3, 3, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 3, 2, 4, 3, 3, 1, 1, 0, 4, 0, 3, 1, 2, 0, 4, 3, 0, 0, 2, 3, 4, 3, 2, 0, 3, 2, 0, 1, 0, 2, 1, 0, 1, 3, 0, 3, 2, 1, 0, 1, 0, 3, 0, 4, 1, 0, 3, 4, 4, 2, 3, 4, 0, 4, 2, 2, 1, 2, 0, 3, 2, 3, 0, 4, 3, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 4, 0, 1, 2, 4, 2, 2, 1, 2, 1, 3, 0, 1, 0, 3, 1, 2, 4, 1, 3, 2, 4, 1, 2, 1, 0, 2, 2, 1, 4, 0, 1, 0, 4, 4, 2, 4, 1, 0, 2, 4, 1, 3, 3, 4, 3, 3, 2, 2, 3, 0, 3, 2, 1, 0, 4, 4, 1, 0, 0, 1, 4, 2, 1, 3, 2, 1, 2, 4, 0, 4, 0, 0, 1, 4, 2, 4, 0, 2, 2, 1, 4, 3, 3, 2, 2, 2, 2, 1, 1, 2, 4, 4, 2, 1, 3, 1, 2, 3, 1, 0, 0, 1, 3, 3, 1, 0, 0, 0, 3, 4, 1, 1, 0, 1, 2, 3, 1, 1, 2, 4, 4, 0, 3, 2, 3, 3, 3, 1, 1, 1, 2, 3, 0, 3, 0, 2, 2, 2, 3, 4, 2, 3, 2, 2, 3, 3, 0, 1, 0, 3, 4, 4, 0, 2, 0, 2, 1, 4, 2, 1, 0, 0, 0, 3, 3, 0, 0, 2, 2, 1, 0, 0, 3, 1, 2, 3, 0, 0, 1, 1, 1, 3, 2, 3, 1, 0, 4, 4, 2, 2, 2, 0, 0, 1, 3, 4, 0, 4, 1, 3, 3, 2, 2, 2, 4, 3, 4, 0, 4, 0, 4, 3, 4, 1, 1, 1, 0, 4, 2, 2, 1, 4, 2, 4, 4, 3, 3, 1, 0, 2, 4, 0, 2] pubkeycol1247 = [2, 0, 4, 4, 4, 1, 1, 3, 3, 3, 0, 3, 1, 1, 4, 0, 0, 3, 3, 2, 2, 4, 1, 4, 2, 0, 3, 3, 2, 3, 3, 2, 2, 4, 3, 0, 1, 4, 2, 1, 4, 3, 1, 0, 0, 3, 1, 3, 0, 4, 2, 4, 1, 1, 4, 4, 4, 0, 4, 3, 1, 1, 3, 3, 1, 4, 0, 4, 1, 4, 0, 2, 1, 1, 4, 0, 3, 1, 2, 2, 2, 3, 0, 1, 1, 1, 0, 3, 0, 3, 2, 3, 1, 1, 3, 4, 3, 0, 3, 4, 0, 1, 3, 0, 0, 1, 3, 1, 0, 0, 0, 3, 3, 2, 1, 2, 4, 4, 4, 0, 3, 0, 0, 4, 1, 0, 2, 0, 0, 3, 3, 0, 4, 0, 1, 0, 1, 1, 1, 3, 3, 1, 2, 4, 2, 4, 3, 2, 3, 4, 0, 2, 0, 4, 2, 0, 3, 4, 1, 3, 3, 4, 3, 1, 3, 0, 1, 3, 1, 0, 1, 0, 3, 1, 2, 0, 0, 3, 1, 0, 2, 1, 0, 4, 3, 1, 0, 3, 4, 2, 2, 4, 4, 3, 2, 1, 4, 3, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 3, 0, 4, 2, 1, 0, 0, 1, 2, 2, 3, 2, 2, 2, 1, 0, 0, 1, 3, 3, 4, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 0, 3, 0, 2, 1, 4, 4, 3, 2, 3, 4, 3, 3, 1, 3, 4, 2, 4, 4, 0, 3, 0, 1, 0, 0, 1, 4, 0, 1, 1, 0, 1, 2, 0, 2, 3, 2, 3, 3, 1, 4, 1, 4, 1, 0, 3, 4, 2, 2, 0, 4, 3, 4, 1, 1, 0, 4, 1, 4, 2, 0, 1, 4, 0, 2, 1, 0, 0, 2, 3, 3, 1, 1, 0, 0, 2, 2, 1, 2, 4, 4, 2, 2, 2, 2, 0, 3, 2, 4, 2, 2, 0, 3, 2, 1, 3, 4, 3, 2, 1, 0, 2, 3, 2, 3, 2, 2, 0, 4, 4, 2, 3, 2, 1, 1, 2, 4, 0, 3, 3, 0, 1, 4, 3, 2, 3, 4, 0, 1, 0, 4, 1, 2, 4, 1, 2, 0, 1, 1, 2, 4, 0, 3, 2, 0, 3, 4, 4, 3, 3, 2, 4, 4, 0, 1, 2, 0, 2, 4, 4, 3, 2, 2, 3, 1, 3, 0, 3, 1, 4, 1, 1, 3, 0, 3, 1, 0, 0, 4, 1, 4, 2, 3, 1, 0, 4, 0, 1, 3, 1, 4, 0, 3, 3, 1, 0, 0, 3, 0, 3, 3, 2, 4, 1, 1, 4, 3, 1, 2, 3, 3, 4, 3, 0, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 4, 2, 0, 4, 4] pubkeycol1248 = [3, 2, 0, 3, 3, 1, 4, 4, 2, 1, 0, 1, 0, 0, 2, 2, 3, 4, 0, 4, 4, 4, 0, 0, 2, 0, 4, 3, 0, 0, 1, 0, 2, 1, 4, 0, 1, 3, 1, 3, 0, 3, 4, 2, 0, 4, 3, 1, 2, 2, 2, 2, 0, 4, 2, 0, 4, 2, 1, 0, 0, 1, 0, 3, 4, 2, 0, 2, 1, 3, 1, 1, 3, 0, 3, 2, 2, 1, 4, 3, 3, 1, 0, 2, 3, 1, 4, 0, 3, 3, 1, 1, 2, 1, 1, 4, 0, 3, 1, 4, 4, 2, 0, 2, 0, 0, 1, 0, 0, 3, 4, 4, 0, 2, 1, 4, 4, 0, 1, 1, 0, 2, 0, 1, 0, 4, 0, 2, 0, 2, 0, 4, 4, 3, 3, 4, 1, 4, 3, 2, 3, 0, 4, 3, 0, 3, 1, 1, 0, 0, 1, 3, 3, 1, 0, 2, 2, 3, 4, 1, 2, 4, 1, 1, 2, 2, 3, 3, 1, 3, 0, 4, 2, 4, 3, 2, 2, 4, 3, 3, 4, 0, 1, 1, 3, 4, 3, 1, 1, 1, 1, 3, 3, 0, 3, 2, 3, 1, 3, 2, 3, 1, 2, 4, 0, 3, 1, 1, 1, 1, 2, 4, 3, 3, 3, 3, 0, 1, 1, 1, 4, 3, 0, 2, 0, 4, 2, 4, 3, 3, 0, 2, 2, 1, 2, 0, 4, 4, 4, 3, 0, 2, 2, 4, 2, 2, 2, 2, 4, 0, 2, 0, 4, 4, 3, 3, 2, 0, 0, 3, 2, 1, 3, 1, 1, 1, 4, 0, 2, 1, 0, 0, 4, 3, 2, 0, 0, 1, 3, 0, 1, 1, 2, 0, 0, 1, 0, 4, 2, 2, 0, 1, 1, 2, 4, 1, 4, 0, 1, 4, 3, 1, 3, 0, 1, 3, 1, 4, 2, 1, 3, 2, 1, 2, 1, 4, 4, 3, 4, 4, 2, 3, 3, 0, 3, 3, 1, 2, 0, 3, 4, 1, 0, 2, 1, 1, 1, 4, 2, 1, 1, 2, 3, 0, 1, 1, 3, 2, 4, 0, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 3, 3, 0, 1, 0, 3, 2, 0, 0, 4, 2, 4, 0, 2, 4, 2, 4, 1, 1, 4, 1, 0, 4, 4, 3, 4, 3, 1, 3, 0, 0, 3, 0, 1, 1, 3, 0, 2, 3, 0, 1, 3, 4, 0, 1, 1, 4, 2, 3, 3, 0, 0, 1, 2, 4, 4, 0, 2, 4, 4, 0, 0, 0, 4, 3, 0, 0, 4, 3, 3, 0, 3, 3, 4, 1, 4, 1, 1, 0, 1, 3, 1, 1, 0, 1, 0, 4, 3, 3, 4, 2, 0, 1, 2, 3, 1, 1, 0, 2, 0, 2, 3, 1, 4, 3, 4, 1, 3, 4, 1, 0, 2, 0, 1, 4, 4, 2, 1, 4, 1] pubkeycol1249 = [3, 3, 1, 3, 0, 2, 4, 2, 0, 4, 4, 2, 1, 4, 2, 3, 2, 0, 1, 3, 2, 1, 0, 3, 3, 3, 0, 3, 2, 3, 4, 1, 3, 1, 4, 0, 1, 4, 1, 2, 3, 2, 0, 1, 4, 3, 1, 4, 0, 3, 4, 1, 4, 3, 1, 0, 2, 3, 1, 4, 4, 0, 4, 3, 3, 3, 0, 0, 2, 2, 3, 3, 1, 0, 4, 3, 4, 4, 3, 2, 1, 1, 4, 0, 4, 1, 0, 2, 2, 3, 0, 2, 1, 4, 2, 4, 1, 1, 1, 4, 1, 0, 0, 2, 2, 0, 3, 0, 4, 2, 0, 1, 2, 2, 4, 1, 2, 0, 4, 0, 0, 1, 2, 1, 3, 4, 0, 4, 2, 0, 2, 4, 4, 4, 0, 3, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 3, 4, 0, 0, 3, 0, 3, 2, 4, 3, 2, 3, 3, 3, 1, 3, 1, 0, 2, 3, 0, 2, 0, 3, 0, 3, 0, 2, 1, 1, 1, 0, 4, 4, 0, 0, 0, 3, 2, 2, 3, 4, 1, 2, 2, 2, 2, 3, 4, 2, 4, 2, 3, 2, 3, 2, 3, 4, 0, 0, 1, 1, 0, 3, 1, 3, 3, 0, 0, 0, 0, 1, 3, 4, 1, 1, 4, 1, 1, 2, 2, 4, 2, 4, 3, 1, 2, 4, 0, 0, 2, 2, 2, 0, 1, 1, 4, 2, 2, 4, 2, 3, 3, 3, 0, 0, 4, 4, 1, 2, 2, 0, 2, 3, 3, 0, 0, 1, 2, 3, 2, 2, 2, 1, 0, 0, 3, 4, 4, 2, 2, 1, 4, 0, 4, 3, 3, 1, 0, 3, 0, 1, 3, 4, 1, 3, 4, 1, 1, 0, 2, 4, 2, 1, 2, 1, 3, 1, 2, 2, 1, 0, 0, 3, 3, 3, 2, 2, 2, 3, 2, 1, 1, 3, 1, 3, 4, 2, 1, 3, 4, 0, 0, 2, 1, 4, 4, 3, 3, 0, 4, 3, 0, 0, 0, 0, 3, 3, 2, 3, 4, 3, 2, 0, 4, 4, 1, 1, 0, 0, 2, 1, 4, 0, 0, 2, 1, 2, 4, 2, 3, 0, 3, 4, 0, 4, 4, 0, 2, 0, 4, 4, 1, 3, 0, 3, 1, 2, 0, 0, 2, 1, 1, 0, 2, 4, 3, 0, 3, 0, 0, 0, 2, 1, 0, 3, 4, 0, 3, 4, 3, 0, 4, 1, 2, 3, 4, 4, 4, 2, 3, 2, 3, 0, 0, 1, 0, 2, 2, 4, 4, 2, 2, 0, 4, 1, 3, 2, 4, 1, 1, 4, 1, 0, 2, 1, 4, 4, 2, 2, 2, 4, 2, 2, 1, 4, 1, 2, 3, 0, 3, 1, 0, 1, 0, 2, 2, 4, 2, 2, 4, 1, 2, 4, 0, 3, 3, 4, 3, 0, 2, 0, 1, 2] pubkeycol1250 = [2, 4, 0, 0, 2, 4, 1, 2, 3, 4, 4, 3, 1, 2, 3, 2, 0, 3, 2, 0, 4, 0, 3, 2, 1, 3, 1, 1, 2, 3, 2, 3, 2, 2, 0, 1, 0, 0, 2, 3, 1, 2, 3, 2, 3, 4, 1, 0, 2, 3, 0, 3, 0, 0, 3, 2, 0, 2, 3, 3, 1, 2, 1, 2, 3, 4, 3, 2, 0, 1, 4, 2, 3, 1, 1, 2, 2, 3, 4, 3, 3, 0, 0, 2, 1, 4, 1, 4, 4, 3, 0, 1, 4, 3, 1, 3, 0, 3, 2, 0, 2, 3, 4, 1, 3, 0, 1, 3, 4, 1, 3, 3, 0, 4, 4, 2, 2, 1, 1, 2, 1, 1, 0, 3, 3, 4, 1, 0, 2, 3, 1, 2, 0, 2, 2, 3, 3, 1, 1, 4, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 4, 1, 4, 0, 1, 1, 0, 4, 3, 4, 1, 3, 2, 3, 4, 0, 1, 4, 2, 1, 3, 3, 4, 2, 2, 1, 2, 2, 2, 1, 4, 3, 0, 0, 4, 3, 2, 1, 2, 1, 0, 4, 1, 1, 3, 2, 2, 1, 3, 4, 1, 3, 0, 2, 4, 1, 4, 4, 2, 3, 3, 4, 3, 1, 2, 3, 0, 4, 4, 2, 2, 0, 2, 0, 1, 2, 4, 3, 1, 0, 4, 1, 1, 4, 4, 3, 3, 2, 4, 3, 0, 1, 0, 2, 2, 4, 3, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 4, 0, 0, 0, 1, 1, 3, 1, 1, 4, 2, 3, 1, 3, 2, 4, 2, 1, 2, 0, 3, 1, 1, 4, 2, 2, 1, 0, 4, 1, 0, 2, 1, 4, 2, 2, 0, 2, 3, 1, 3, 3, 4, 3, 2, 0, 1, 1, 3, 3, 2, 2, 0, 4, 4, 3, 1, 2, 3, 4, 2, 2, 3, 1, 4, 4, 2, 0, 2, 0, 1, 1, 4, 2, 4, 1, 4, 2, 0, 0, 1, 0, 1, 2, 3, 0, 2, 0, 3, 4, 3, 1, 1, 0, 1, 4, 4, 3, 0, 2, 2, 2, 0, 3, 3, 4, 2, 4, 4, 2, 2, 2, 0, 3, 2, 0, 4, 2, 4, 4, 0, 0, 1, 4, 0, 1, 4, 1, 3, 3, 1, 1, 2, 3, 1, 1, 2, 1, 4, 4, 0, 4, 4, 2, 0, 4, 0, 3, 4, 0, 2, 3, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 0, 2, 2, 3, 3, 1, 2, 3, 4, 1, 2, 1, 2, 2, 0, 1, 3, 3, 3, 4, 1, 3, 2, 3, 2, 4, 0, 2, 1, 4, 2, 3, 1, 2, 3, 4, 4, 2, 3, 4, 3, 1, 2, 1, 1, 3, 2, 0, 2, 1] pubkeycol1251 = [0, 4, 2, 3, 0, 2, 4, 0, 2, 3, 4, 3, 1, 3, 2, 3, 4, 2, 4, 0, 1, 4, 2, 4, 4, 0, 4, 0, 2, 1, 2, 1, 4, 0, 2, 4, 0, 3, 2, 4, 1, 1, 0, 2, 4, 0, 3, 2, 3, 2, 1, 2, 4, 2, 1, 2, 0, 2, 0, 4, 0, 2, 1, 2, 0, 0, 3, 2, 2, 4, 4, 2, 2, 2, 4, 0, 2, 1, 4, 0, 0, 3, 3, 3, 1, 4, 2, 2, 0, 4, 0, 0, 1, 3, 2, 1, 0, 2, 0, 4, 1, 1, 0, 2, 3, 2, 1, 3, 4, 1, 2, 0, 2, 4, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 3, 4, 2, 0, 4, 1, 1, 1, 1, 1, 0, 2, 4, 0, 4, 3, 2, 2, 0, 2, 3, 1, 4, 4, 4, 1, 1, 0, 1, 3, 2, 4, 3, 0, 3, 0, 4, 3, 4, 2, 1, 0, 4, 1, 0, 1, 3, 4, 3, 2, 4, 0, 2, 4, 3, 2, 0, 0, 4, 1, 1, 0, 2, 0, 0, 4, 3, 4, 2, 2, 1, 1, 0, 4, 1, 4, 2, 2, 4, 2, 2, 2, 0, 2, 3, 4, 3, 3, 0, 1, 4, 1, 0, 0, 0, 3, 1, 4, 0, 1, 0, 4, 3, 4, 0, 1, 1, 4, 1, 1, 2, 0, 3, 3, 4, 2, 0, 4, 3, 2, 2, 4, 4, 1, 1, 4, 1, 3, 2, 2, 1, 3, 0, 2, 2, 3, 2, 4, 3, 3, 0, 3, 0, 2, 3, 1, 1, 3, 2, 2, 1, 3, 4, 0, 2, 1, 2, 4, 3, 1, 4, 0, 4, 1, 1, 1, 3, 1, 0, 4, 2, 4, 1, 2, 4, 3, 0, 2, 0, 1, 3, 4, 3, 0, 1, 0, 0, 3, 0, 0, 3, 1, 3, 0, 2, 0, 1, 4, 0, 0, 4, 4, 4, 4, 0, 2, 2, 1, 3, 0, 0, 2, 3, 4, 4, 2, 2, 3, 0, 4, 3, 0, 0, 0, 4, 4, 0, 0, 1, 1, 2, 2, 4, 4, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 3, 2, 1, 3, 4, 4, 3, 2, 3, 2, 2, 1, 4, 1, 0, 3, 3, 3, 0, 1, 2, 2, 0, 3, 3, 0, 1, 4, 3, 0, 2, 0, 1, 4, 1, 3, 2, 1, 4, 2, 2, 3, 0, 3, 0, 4, 1, 4, 1, 2, 3, 0, 1, 3, 3, 3, 2, 4, 2, 1, 2, 3, 4, 4, 3, 0, 3, 2, 4, 3, 1, 0, 3, 0, 2, 1, 0, 4, 4, 1, 1, 0, 2, 3, 2, 4, 0, 4, 4, 1, 1, 3, 1, 3, 0, 2, 1, 4, 1, 2, 2, 2, 3, 1, 2, 0, 1, 0, 1, 3, 0, 1] pubkeycol1252 = [1, 0, 1, 3, 2, 1, 2, 2, 4, 4, 4, 1, 3, 3, 2, 0, 1, 1, 4, 4, 1, 0, 1, 3, 4, 1, 2, 3, 3, 0, 1, 2, 3, 4, 4, 3, 1, 4, 2, 1, 3, 3, 0, 4, 2, 4, 4, 4, 4, 0, 1, 0, 4, 3, 4, 3, 1, 3, 0, 4, 2, 3, 3, 4, 0, 4, 4, 2, 4, 0, 2, 1, 3, 4, 2, 4, 3, 4, 4, 0, 1, 0, 1, 0, 0, 2, 3, 3, 4, 3, 3, 3, 0, 1, 2, 3, 1, 0, 3, 2, 4, 4, 0, 3, 2, 2, 3, 4, 1, 3, 4, 1, 4, 4, 1, 3, 3, 0, 4, 2, 1, 0, 2, 4, 4, 0, 1, 2, 4, 0, 3, 2, 2, 2, 4, 1, 0, 4, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 3, 0, 3, 0, 4, 1, 4, 1, 0, 0, 3, 3, 1, 1, 1, 0, 0, 3, 0, 1, 0, 4, 1, 4, 1, 3, 4, 3, 2, 2, 3, 0, 4, 2, 3, 2, 1, 0, 4, 4, 0, 2, 1, 2, 0, 4, 0, 1, 1, 3, 0, 0, 2, 0, 0, 0, 2, 4, 0, 0, 4, 1, 3, 0, 3, 2, 0, 4, 2, 3, 0, 2, 2, 4, 1, 3, 0, 4, 0, 0, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 1, 2, 2, 4, 1, 0, 0, 3, 2, 0, 3, 4, 2, 1, 2, 0, 2, 3, 3, 1, 1, 3, 3, 3, 0, 0, 4, 3, 1, 2, 4, 1, 0, 2, 0, 1, 2, 3, 2, 3, 0, 0, 3, 0, 1, 1, 2, 0, 4, 1, 4, 0, 1, 0, 1, 4, 0, 1, 4, 0, 4, 3, 2, 2, 1, 1, 0, 2, 0, 2, 0, 4, 0, 3, 2, 1, 3, 0, 1, 0, 0, 3, 2, 1, 0, 3, 4, 2, 2, 3, 1, 4, 1, 2, 4, 4, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 3, 4, 4, 0, 3, 4, 3, 0, 4, 4, 0, 4, 3, 3, 1, 2, 2, 0, 0, 2, 0, 3, 4, 4, 0, 0, 4, 4, 3, 3, 4, 2, 3, 3, 0, 4, 3, 3, 4, 1, 2, 3, 4, 4, 2, 4, 2, 2, 4, 3, 1, 0, 2, 3, 3, 2, 0, 3, 1, 4, 2, 4, 4, 0, 3, 0, 4, 0, 4, 1, 0, 0, 4, 0, 3, 1, 0, 1, 1, 2, 1, 1, 0, 0, 3, 0, 1, 1, 4, 1, 1, 4, 1, 2, 4, 1, 4, 0, 0, 4, 0, 3, 3, 4, 0, 2, 2, 1, 4, 2, 4, 2, 1, 0, 2, 3, 2, 2, 0, 2, 0, 0, 2, 3, 2, 2, 3, 4, 1, 4, 2, 0, 1, 3] pubkeycol1253 = [2, 0, 3, 3, 2, 2, 4, 2, 0, 3, 0, 0, 3, 4, 4, 0, 0, 2, 3, 1, 1, 2, 2, 1, 3, 1, 2, 1, 1, 4, 0, 4, 3, 1, 1, 4, 2, 4, 2, 1, 0, 2, 0, 2, 3, 4, 3, 1, 4, 0, 1, 3, 1, 4, 1, 0, 3, 0, 4, 3, 2, 2, 4, 3, 4, 3, 1, 2, 3, 0, 4, 2, 2, 3, 3, 2, 1, 3, 2, 4, 3, 2, 1, 4, 4, 3, 3, 0, 1, 3, 0, 4, 4, 3, 1, 4, 2, 1, 1, 4, 4, 0, 3, 4, 2, 4, 1, 4, 4, 2, 2, 0, 3, 1, 1, 4, 3, 3, 2, 0, 0, 1, 0, 2, 3, 3, 0, 4, 2, 4, 4, 3, 2, 3, 4, 3, 2, 2, 4, 0, 1, 3, 2, 2, 0, 1, 0, 1, 2, 3, 3, 0, 1, 3, 0, 4, 0, 1, 0, 0, 3, 3, 1, 2, 1, 2, 4, 1, 2, 4, 1, 1, 0, 0, 4, 4, 2, 3, 1, 4, 1, 4, 1, 2, 0, 4, 0, 0, 3, 2, 1, 4, 4, 4, 4, 2, 1, 4, 4, 4, 3, 2, 2, 4, 4, 0, 1, 4, 4, 2, 0, 1, 0, 1, 0, 3, 3, 0, 3, 3, 0, 3, 2, 0, 2, 4, 0, 4, 3, 4, 4, 3, 2, 4, 0, 3, 1, 1, 0, 3, 3, 3, 4, 4, 0, 2, 2, 2, 2, 0, 3, 1, 3, 2, 3, 1, 1, 3, 2, 0, 4, 2, 1, 2, 1, 2, 1, 4, 4, 0, 0, 3, 3, 0, 0, 1, 2, 4, 2, 4, 1, 3, 1, 2, 2, 2, 0, 4, 1, 3, 2, 2, 4, 2, 2, 4, 3, 4, 2, 0, 0, 2, 4, 4, 2, 1, 1, 4, 2, 3, 4, 3, 3, 1, 3, 3, 1, 4, 3, 2, 2, 0, 0, 4, 0, 0, 4, 2, 1, 4, 0, 0, 0, 1, 2, 3, 4, 3, 1, 0, 3, 1, 4, 4, 3, 0, 2, 0, 0, 2, 4, 4, 3, 4, 1, 4, 4, 3, 4, 1, 1, 0, 2, 0, 2, 2, 0, 3, 1, 4, 0, 0, 4, 1, 1, 2, 1, 3, 0, 1, 1, 1, 4, 0, 4, 1, 3, 1, 2, 0, 0, 0, 2, 2, 3, 1, 4, 4, 3, 4, 0, 3, 3, 1, 1, 4, 2, 0, 1, 0, 3, 0, 4, 2, 2, 3, 3, 2, 0, 3, 3, 3, 4, 0, 0, 2, 1, 4, 0, 4, 0, 2, 0, 4, 0, 0, 1, 3, 0, 2, 0, 4, 3, 2, 1, 3, 3, 4, 3, 3, 2, 0, 4, 4, 2, 1, 2, 4, 3, 4, 3, 3, 2, 3, 1, 3, 2, 0, 2, 4, 2, 0, 4, 2, 1, 3, 1, 3, 4, 2] pubkeycol1254 = [0, 0, 1, 4, 2, 1, 4, 1, 2, 1, 3, 2, 1, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 4, 3, 3, 1, 2, 2, 1, 0, 3, 2, 1, 4, 3, 0, 2, 0, 1, 3, 4, 4, 3, 1, 2, 3, 1, 3, 0, 1, 0, 1, 1, 3, 1, 1, 4, 4, 0, 0, 1, 1, 1, 0, 4, 1, 4, 2, 2, 4, 4, 0, 1, 4, 3, 0, 2, 4, 0, 1, 2, 3, 2, 3, 2, 0, 0, 1, 4, 0, 4, 2, 1, 0, 2, 2, 0, 2, 0, 1, 4, 0, 0, 2, 3, 4, 0, 4, 3, 0, 0, 2, 2, 1, 3, 0, 2, 0, 1, 1, 3, 1, 3, 4, 2, 2, 1, 3, 3, 4, 3, 1, 1, 0, 0, 1, 2, 2, 0, 4, 3, 4, 4, 0, 0, 2, 3, 2, 3, 3, 0, 2, 1, 3, 4, 4, 1, 4, 1, 1, 0, 3, 3, 4, 1, 3, 1, 1, 2, 4, 0, 0, 2, 4, 2, 3, 4, 1, 2, 1, 1, 3, 3, 3, 3, 3, 4, 3, 0, 1, 4, 2, 1, 1, 3, 2, 0, 0, 0, 1, 1, 3, 1, 1, 2, 0, 4, 2, 0, 2, 1, 3, 2, 0, 1, 3, 4, 0, 4, 3, 4, 1, 2, 2, 0, 0, 0, 1, 0, 3, 1, 2, 2, 3, 1, 1, 4, 0, 2, 0, 0, 2, 4, 1, 2, 3, 2, 2, 2, 0, 3, 4, 0, 0, 4, 1, 3, 1, 1, 3, 1, 2, 1, 0, 2, 0, 1, 1, 3, 0, 4, 2, 1, 1, 4, 1, 3, 2, 2, 4, 0, 1, 2, 0, 3, 3, 1, 2, 3, 0, 3, 1, 3, 4, 0, 1, 2, 3, 4, 1, 0, 0, 1, 4, 0, 3, 4, 3, 3, 3, 1, 4, 1, 4, 3, 1, 4, 3, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 3, 2, 1, 1, 1, 4, 0, 3, 2, 1, 1, 2, 4, 0, 1, 3, 3, 4, 3, 4, 0, 2, 4, 3, 3, 4, 2, 1, 0, 3, 1, 3, 4, 2, 0, 0, 3, 0, 0, 3, 1, 2, 0, 0, 3, 3, 3, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 3, 4, 2, 2, 1, 2, 0, 2, 1, 1, 1, 3, 1, 4, 1, 3, 3, 3, 2, 0, 1, 2, 3, 2, 2, 3, 0, 4, 3, 3, 2, 1, 3, 3, 3, 1, 4, 1, 3, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 3, 1, 1, 4, 3, 4, 4, 3, 4, 3, 4, 2, 3, 4, 3, 2, 1, 3, 2, 1, 3, 1, 1, 0, 2, 1, 3, 4, 3, 0, 1] pubkeycol1255 = [3, 0, 4, 2, 4, 0, 4, 2, 0, 0, 1, 1, 0, 3, 2, 4, 2, 2, 2, 3, 0, 1, 0, 2, 0, 2, 3, 1, 1, 1, 4, 4, 2, 2, 0, 0, 1, 2, 2, 1, 3, 2, 2, 4, 3, 1, 2, 4, 1, 1, 1, 2, 1, 3, 3, 2, 1, 0, 2, 2, 1, 0, 4, 3, 0, 1, 3, 0, 4, 4, 2, 4, 1, 2, 3, 4, 2, 3, 0, 4, 3, 0, 2, 3, 2, 4, 1, 0, 4, 4, 0, 3, 2, 4, 0, 4, 2, 1, 0, 3, 0, 1, 1, 2, 2, 4, 3, 2, 3, 1, 3, 1, 2, 3, 2, 0, 4, 2, 3, 4, 1, 2, 3, 0, 3, 2, 2, 2, 3, 1, 3, 1, 4, 2, 0, 4, 1, 4, 2, 0, 3, 3, 0, 4, 0, 4, 2, 1, 0, 2, 0, 2, 2, 3, 4, 0, 3, 2, 1, 0, 4, 1, 1, 2, 0, 0, 4, 3, 3, 1, 4, 4, 3, 2, 1, 1, 1, 3, 4, 0, 0, 4, 2, 2, 3, 0, 1, 1, 1, 1, 4, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 4, 2, 1, 0, 3, 4, 0, 4, 4, 4, 3, 1, 3, 1, 0, 1, 3, 2, 2, 4, 2, 3, 1, 0, 0, 4, 4, 2, 0, 0, 4, 4, 3, 0, 1, 2, 0, 0, 4, 2, 2, 3, 1, 2, 4, 0, 2, 3, 4, 3, 3, 3, 2, 1, 0, 0, 4, 2, 2, 0, 2, 3, 3, 3, 2, 1, 2, 4, 0, 3, 0, 4, 4, 4, 1, 4, 1, 0, 3, 0, 0, 4, 0, 2, 4, 0, 3, 3, 1, 0, 1, 4, 1, 0, 4, 3, 1, 1, 3, 1, 2, 4, 4, 2, 1, 0, 1, 3, 4, 4, 0, 0, 4, 4, 0, 1, 4, 4, 0, 2, 1, 0, 2, 0, 3, 4, 1, 2, 0, 4, 0, 0, 1, 1, 2, 0, 4, 4, 1, 4, 4, 2, 4, 4, 1, 2, 3, 0, 0, 1, 2, 3, 2, 2, 3, 0, 4, 1, 0, 1, 1, 3, 1, 0, 3, 0, 0, 0, 0, 0, 0, 3, 2, 4, 4, 0, 2, 4, 2, 1, 1, 4, 3, 1, 0, 3, 3, 1, 1, 0, 3, 1, 4, 0, 4, 2, 1, 4, 0, 4, 2, 2, 0, 2, 1, 2, 3, 2, 0, 1, 4, 0, 4, 2, 3, 0, 2, 0, 3, 2, 4, 4, 4, 2, 1, 4, 2, 0, 3, 1, 4, 0, 4, 0, 0, 4, 1, 2, 2, 3, 3, 0, 4, 0, 0, 0, 2, 2, 2, 3, 2, 0, 0, 3, 1, 2, 2, 3, 2, 2, 4, 1, 1, 1, 4, 4, 1, 4, 4, 3, 4, 4, 2, 3, 2] pubkeycol1256 = [3, 2, 1, 4, 0, 1, 2, 3, 3, 3, 3, 4, 4, 4, 1, 1, 0, 0, 4, 2, 0, 2, 3, 3, 0, 2, 4, 0, 0, 3, 1, 2, 0, 4, 2, 2, 1, 3, 1, 4, 1, 3, 1, 2, 0, 1, 4, 0, 2, 4, 1, 4, 1, 4, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 3, 4, 3, 3, 1, 0, 4, 3, 4, 1, 4, 4, 1, 4, 3, 3, 1, 4, 4, 4, 3, 3, 0, 3, 1, 1, 3, 4, 2, 1, 3, 4, 4, 4, 4, 1, 0, 1, 1, 1, 2, 0, 4, 2, 4, 0, 2, 2, 3, 3, 0, 1, 1, 0, 0, 4, 0, 0, 3, 0, 4, 3, 0, 2, 0, 3, 3, 0, 3, 0, 3, 2, 4, 3, 2, 0, 4, 1, 4, 0, 3, 2, 4, 4, 0, 4, 1, 4, 1, 2, 4, 3, 2, 0, 3, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 4, 1, 1, 0, 1, 4, 1, 4, 2, 2, 4, 0, 3, 2, 2, 2, 4, 3, 1, 0, 1, 1, 4, 1, 3, 0, 3, 0, 0, 2, 3, 4, 2, 4, 1, 2, 0, 2, 3, 4, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 2, 0, 4, 4, 4, 3, 3, 0, 4, 1, 2, 2, 2, 0, 2, 0, 3, 4, 4, 0, 3, 1, 4, 2, 4, 0, 3, 4, 1, 2, 1, 2, 2, 3, 4, 3, 0, 0, 2, 0, 3, 2, 0, 3, 0, 4, 1, 1, 3, 3, 2, 4, 2, 1, 2, 0, 1, 3, 2, 3, 3, 4, 2, 0, 0, 3, 0, 0, 4, 1, 4, 1, 0, 3, 0, 4, 0, 1, 2, 1, 0, 3, 1, 0, 4, 0, 4, 3, 4, 3, 4, 3, 2, 4, 2, 0, 1, 1, 2, 0, 4, 4, 1, 2, 4, 4, 2, 4, 1, 4, 1, 0, 4, 3, 1, 3, 1, 0, 4, 1, 4, 2, 0, 1, 1, 2, 4, 4, 1, 4, 1, 2, 2, 0, 2, 4, 1, 0, 3, 1, 3, 2, 0, 4, 3, 1, 0, 0, 4, 3, 2, 0, 3, 2, 1, 2, 2, 3, 1, 0, 0, 3, 4, 4, 0, 3, 2, 1, 0, 4, 2, 0, 0, 2, 4, 3, 1, 4, 1, 4, 2, 2, 4, 3, 0, 4, 4, 1, 3, 4, 1, 3, 2, 3, 2, 3, 3, 4, 3, 2, 1, 0, 2, 3, 0, 2, 1, 2, 0, 1, 4, 0, 4, 3, 0, 1, 4, 3, 2, 0, 4, 4, 1, 3, 2, 0, 4, 1, 3, 1, 1, 4, 2, 2, 4, 1, 0, 3, 2, 0, 1, 4, 0, 1, 2, 1, 3, 4, 2, 2, 2, 3, 2, 3, 1] pubkeycol1257 = [1, 0, 4, 4, 1, 4, 3, 1, 1, 3, 0, 3, 4, 2, 4, 3, 0, 3, 0, 2, 1, 2, 1, 3, 0, 3, 3, 2, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 2, 0, 3, 3, 1, 2, 2, 0, 2, 2, 0, 0, 1, 3, 2, 0, 0, 3, 0, 2, 1, 0, 4, 2, 0, 4, 2, 2, 2, 4, 3, 4, 1, 2, 1, 3, 3, 4, 3, 3, 4, 2, 0, 0, 4, 3, 0, 2, 0, 1, 0, 0, 1, 3, 2, 3, 0, 1, 3, 0, 4, 3, 2, 3, 1, 0, 0, 2, 4, 1, 3, 1, 2, 4, 1, 2, 1, 4, 0, 4, 4, 1, 3, 0, 4, 3, 4, 3, 4, 0, 0, 3, 4, 4, 0, 1, 2, 2, 2, 1, 4, 2, 4, 2, 2, 2, 2, 3, 2, 0, 4, 0, 1, 1, 1, 4, 4, 0, 1, 4, 4, 3, 1, 2, 3, 1, 0, 0, 2, 3, 2, 0, 3, 0, 1, 4, 2, 1, 4, 0, 4, 0, 2, 0, 0, 0, 3, 0, 4, 1, 1, 3, 1, 4, 2, 0, 3, 2, 3, 2, 3, 4, 3, 4, 4, 1, 1, 1, 0, 4, 4, 0, 1, 3, 2, 0, 4, 4, 2, 2, 4, 0, 2, 3, 4, 3, 4, 2, 4, 3, 1, 3, 3, 2, 4, 1, 1, 2, 0, 2, 4, 2, 2, 4, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 4, 4, 4, 1, 1, 1, 2, 2, 1, 4, 3, 3, 0, 2, 0, 0, 4, 4, 0, 0, 4, 2, 3, 4, 0, 0, 2, 0, 1, 4, 2, 0, 0, 2, 1, 0, 3, 2, 0, 2, 4, 1, 4, 2, 2, 0, 3, 0, 4, 1, 1, 1, 2, 3, 4, 3, 1, 0, 1, 4, 0, 1, 3, 1, 4, 0, 4, 1, 2, 0, 0, 2, 3, 2, 2, 0, 3, 4, 4, 2, 3, 4, 4, 4, 1, 3, 4, 0, 1, 2, 2, 3, 3, 3, 1, 4, 0, 1, 1, 0, 0, 1, 4, 3, 1, 2, 4, 1, 0, 3, 3, 4, 0, 0, 4, 3, 0, 0, 2, 2, 1, 4, 3, 3, 3, 2, 4, 3, 4, 2, 4, 2, 1, 0, 3, 4, 1, 3, 2, 0, 1, 4, 0, 4, 2, 2, 4, 3, 1, 0, 4, 2, 1, 2, 2, 3, 0, 1, 3, 4, 2, 3, 4, 3, 1, 2, 3, 2, 1, 4, 4, 3, 1, 2, 2, 3, 4, 4, 1, 4, 4, 4, 1, 1, 2, 0, 1, 3, 1, 1, 0, 0, 4, 4, 1, 0, 2, 1, 3, 4, 1, 1, 3, 0, 1, 3, 2, 3, 2, 4, 2, 1, 3, 3, 3, 3, 3, 0, 1, 2, 4, 2, 2, 0] pubkeycol1258 = [3, 3, 4, 1, 2, 4, 4, 1, 0, 1, 3, 1, 4, 2, 3, 1, 0, 0, 0, 3, 1, 4, 1, 4, 4, 4, 1, 3, 3, 1, 3, 1, 2, 4, 2, 4, 4, 1, 1, 0, 3, 0, 3, 4, 3, 1, 0, 4, 0, 3, 3, 4, 2, 0, 1, 4, 3, 2, 1, 2, 1, 2, 3, 2, 3, 1, 3, 2, 4, 4, 4, 3, 2, 1, 0, 0, 0, 4, 3, 4, 0, 3, 0, 0, 0, 1, 3, 1, 0, 0, 1, 0, 1, 4, 3, 3, 1, 3, 0, 0, 1, 0, 4, 2, 0, 1, 0, 1, 1, 4, 4, 0, 1, 4, 1, 0, 1, 3, 4, 4, 4, 0, 1, 1, 0, 4, 2, 3, 2, 4, 3, 4, 4, 3, 2, 4, 2, 1, 2, 0, 2, 2, 1, 3, 2, 3, 3, 1, 3, 1, 4, 0, 4, 0, 3, 1, 2, 3, 1, 3, 4, 2, 0, 0, 4, 4, 3, 1, 3, 3, 3, 3, 0, 3, 1, 2, 0, 3, 4, 4, 2, 1, 4, 4, 3, 4, 2, 1, 1, 0, 4, 4, 1, 1, 0, 2, 1, 3, 3, 3, 4, 4, 4, 0, 2, 2, 4, 0, 1, 4, 3, 1, 3, 0, 4, 2, 3, 0, 3, 2, 2, 0, 2, 4, 0, 3, 4, 2, 4, 1, 4, 2, 4, 3, 1, 1, 4, 2, 4, 2, 1, 1, 4, 1, 2, 3, 0, 3, 0, 0, 4, 2, 0, 4, 0, 2, 4, 0, 0, 4, 1, 4, 2, 3, 1, 1, 4, 0, 1, 2, 0, 1, 3, 0, 0, 0, 0, 4, 0, 1, 0, 1, 4, 0, 0, 2, 1, 0, 3, 0, 4, 2, 4, 3, 4, 1, 2, 2, 4, 4, 2, 4, 4, 3, 4, 2, 2, 2, 1, 4, 3, 1, 1, 0, 1, 2, 0, 3, 2, 4, 1, 2, 1, 4, 1, 3, 1, 4, 3, 4, 4, 0, 2, 3, 1, 0, 0, 4, 3, 2, 1, 1, 2, 3, 4, 4, 3, 1, 0, 1, 1, 1, 4, 4, 4, 1, 3, 4, 2, 2, 3, 1, 4, 1, 2, 0, 0, 2, 3, 0, 0, 0, 0, 3, 2, 3, 0, 1, 3, 2, 2, 1, 3, 2, 0, 4, 3, 4, 2, 1, 0, 3, 2, 3, 4, 3, 2, 1, 4, 4, 2, 3, 2, 4, 2, 1, 1, 0, 2, 0, 4, 1, 3, 3, 3, 4, 3, 2, 4, 1, 1, 2, 2, 1, 2, 0, 3, 2, 0, 0, 2, 0, 3, 2, 3, 0, 4, 0, 1, 3, 1, 4, 1, 1, 2, 1, 2, 3, 3, 2, 1, 0, 2, 3, 2, 2, 4, 2, 2, 2, 0, 4, 1, 3, 2, 4, 0, 1, 4, 2, 2, 3, 4, 4, 1, 1, 0, 3, 0, 0] pubkeycol1259 = [0, 3, 2, 1, 0, 3, 0, 3, 1, 0, 3, 0, 1, 4, 3, 0, 3, 4, 0, 1, 1, 2, 1, 1, 4, 1, 2, 0, 1, 4, 2, 4, 0, 3, 0, 1, 1, 4, 4, 3, 3, 4, 0, 2, 1, 0, 3, 3, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 4, 1, 0, 3, 4, 3, 3, 1, 4, 3, 0, 0, 3, 2, 1, 4, 4, 3, 0, 2, 0, 2, 0, 3, 2, 2, 2, 0, 3, 0, 2, 2, 1, 4, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 3, 3, 3, 0, 1, 3, 0, 4, 2, 3, 0, 0, 3, 3, 0, 2, 4, 2, 1, 0, 4, 2, 4, 2, 2, 4, 2, 4, 4, 4, 1, 2, 0, 4, 1, 3, 2, 4, 0, 2, 3, 2, 0, 1, 4, 2, 0, 4, 4, 4, 1, 0, 1, 4, 0, 0, 0, 2, 2, 1, 0, 3, 4, 4, 4, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 3, 2, 0, 2, 4, 2, 2, 0, 0, 2, 1, 4, 3, 0, 1, 2, 1, 4, 1, 1, 3, 3, 2, 3, 3, 1, 4, 4, 1, 4, 4, 2, 3, 1, 0, 4, 2, 1, 0, 4, 2, 1, 3, 3, 3, 3, 0, 4, 3, 0, 0, 1, 1, 3, 4, 4, 1, 2, 1, 2, 1, 4, 1, 3, 1, 3, 2, 3, 1, 2, 2, 4, 3, 2, 2, 0, 1, 3, 4, 2, 0, 3, 2, 0, 0, 0, 3, 2, 4, 2, 4, 2, 0, 2, 0, 4, 1, 0, 4, 1, 1, 4, 0, 3, 0, 2, 0, 1, 1, 0, 3, 3, 3, 4, 1, 0, 2, 3, 0, 2, 1, 4, 1, 2, 3, 1, 4, 2, 3, 1, 4, 2, 2, 1, 1, 3, 0, 2, 1, 0, 2, 3, 4, 1, 0, 4, 2, 1, 4, 0, 3, 3, 4, 2, 3, 4, 4, 4, 1, 1, 4, 3, 4, 2, 4, 4, 1, 0, 4, 2, 1, 3, 1, 1, 2, 3, 0, 3, 1, 2, 0, 0, 1, 3, 2, 1, 3, 3, 0, 3, 1, 2, 1, 0, 3, 2, 4, 2, 4, 1, 3, 4, 2, 2, 4, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 3, 1, 0, 2, 4, 2, 2, 0, 2, 0, 4, 1, 0, 1, 4, 0, 0, 0, 4, 4, 1, 1, 4, 1, 4, 4, 1, 3, 3, 4, 0, 2, 2, 4, 0, 0, 0, 4, 2, 0, 1, 1, 3, 3, 2, 4, 3, 4, 0, 4, 3, 0, 4, 1, 4, 2, 0, 2, 0, 4, 4, 2, 1, 0, 3, 3, 4, 1, 1, 3, 2, 3, 1, 4, 0, 1, 2, 4, 3, 1] pubkeycol1260 = [1, 4, 1, 4, 4, 3, 3, 4, 1, 0, 1, 2, 4, 4, 2, 3, 1, 0, 0, 2, 0, 0, 4, 1, 0, 4, 2, 4, 4, 3, 4, 4, 3, 3, 2, 4, 2, 2, 1, 0, 0, 2, 3, 2, 1, 1, 4, 2, 4, 1, 1, 3, 0, 4, 2, 1, 2, 0, 2, 2, 2, 0, 4, 4, 1, 1, 3, 3, 1, 2, 4, 1, 1, 0, 1, 1, 2, 4, 0, 3, 2, 2, 2, 1, 3, 4, 0, 2, 0, 3, 1, 4, 0, 3, 4, 2, 3, 2, 2, 2, 1, 4, 1, 0, 2, 4, 1, 2, 0, 4, 4, 2, 4, 3, 3, 2, 1, 4, 3, 3, 3, 4, 3, 3, 0, 4, 3, 0, 3, 2, 0, 1, 4, 1, 4, 0, 4, 3, 4, 3, 1, 2, 0, 1, 0, 4, 1, 4, 1, 2, 0, 4, 4, 3, 4, 1, 1, 4, 3, 1, 4, 1, 4, 4, 2, 4, 3, 3, 1, 2, 4, 3, 3, 0, 4, 2, 2, 4, 4, 1, 2, 3, 4, 1, 1, 2, 1, 1, 0, 3, 4, 1, 2, 4, 1, 1, 3, 1, 4, 0, 0, 0, 2, 2, 3, 3, 2, 0, 2, 0, 4, 1, 3, 1, 3, 1, 4, 3, 0, 4, 0, 3, 1, 0, 3, 4, 1, 4, 1, 4, 1, 0, 2, 1, 1, 4, 2, 3, 1, 4, 1, 0, 0, 2, 3, 0, 4, 3, 1, 0, 0, 1, 0, 1, 0, 1, 0, 3, 0, 0, 4, 0, 3, 1, 3, 1, 4, 1, 2, 4, 0, 1, 4, 4, 1, 1, 0, 4, 4, 4, 2, 0, 2, 2, 3, 0, 3, 2, 0, 3, 4, 1, 2, 1, 1, 2, 4, 2, 4, 4, 1, 1, 3, 3, 3, 2, 2, 0, 3, 3, 4, 1, 0, 1, 2, 0, 2, 1, 1, 1, 3, 3, 2, 2, 0, 2, 1, 0, 4, 2, 4, 1, 4, 2, 4, 3, 3, 3, 1, 0, 2, 1, 4, 4, 2, 0, 3, 3, 2, 3, 1, 4, 0, 3, 1, 1, 1, 2, 1, 4, 0, 3, 3, 1, 0, 4, 3, 1, 4, 0, 2, 1, 1, 4, 2, 1, 1, 3, 2, 1, 4, 2, 4, 4, 4, 2, 0, 2, 3, 4, 0, 0, 3, 3, 3, 2, 0, 1, 4, 0, 4, 0, 3, 1, 4, 2, 3, 4, 2, 4, 4, 3, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 3, 0, 3, 4, 0, 1, 3, 3, 2, 1, 0, 4, 1, 1, 1, 4, 2, 0, 1, 3, 0, 1, 4, 4, 2, 2, 1, 0, 4, 3, 3, 0, 0, 3, 3, 1, 3, 2, 2, 1, 3, 4, 0, 3, 2, 2, 3, 2, 0, 3, 2, 4, 1, 2, 2, 1, 0] pubkeycol1261 = [1, 0, 4, 1, 2, 2, 0, 0, 1, 1, 4, 4, 4, 0, 4, 2, 2, 2, 0, 1, 3, 1, 2, 4, 4, 4, 0, 0, 4, 1, 4, 1, 0, 2, 4, 2, 3, 3, 3, 3, 1, 3, 1, 0, 4, 1, 3, 3, 3, 2, 3, 4, 1, 0, 4, 4, 0, 2, 3, 1, 4, 4, 4, 2, 3, 4, 0, 1, 2, 0, 4, 4, 3, 0, 4, 4, 0, 4, 4, 2, 4, 1, 2, 0, 4, 1, 0, 0, 4, 4, 2, 2, 1, 4, 2, 0, 4, 1, 2, 3, 1, 3, 2, 4, 2, 0, 3, 2, 2, 3, 3, 1, 4, 3, 3, 1, 4, 4, 3, 0, 3, 1, 2, 2, 3, 3, 4, 1, 4, 3, 3, 1, 2, 4, 3, 3, 0, 2, 4, 3, 0, 0, 4, 2, 0, 4, 0, 1, 4, 0, 1, 4, 4, 1, 4, 4, 4, 4, 4, 2, 0, 3, 2, 3, 0, 3, 2, 4, 3, 4, 2, 3, 3, 1, 4, 4, 2, 2, 3, 3, 2, 1, 0, 4, 1, 1, 3, 3, 2, 4, 2, 1, 0, 3, 3, 0, 4, 4, 4, 4, 2, 4, 2, 0, 3, 2, 0, 2, 4, 0, 0, 4, 0, 1, 3, 4, 4, 2, 4, 1, 1, 3, 2, 3, 3, 0, 3, 3, 3, 4, 2, 1, 3, 0, 3, 4, 1, 1, 0, 4, 2, 3, 4, 0, 1, 3, 0, 3, 1, 2, 0, 3, 0, 2, 1, 4, 4, 2, 0, 4, 0, 2, 3, 3, 1, 3, 1, 2, 2, 4, 4, 1, 2, 3, 0, 0, 1, 0, 3, 1, 0, 0, 0, 4, 1, 4, 4, 3, 4, 4, 3, 4, 2, 1, 2, 1, 2, 1, 4, 2, 2, 4, 4, 1, 3, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 3, 0, 2, 4, 1, 1, 4, 0, 4, 3, 0, 4, 1, 0, 2, 1, 2, 2, 0, 4, 4, 0, 1, 4, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 4, 4, 0, 1, 4, 1, 0, 1, 3, 1, 3, 3, 3, 2, 2, 0, 0, 4, 2, 1, 1, 3, 0, 2, 4, 1, 1, 0, 2, 4, 0, 4, 3, 2, 2, 1, 0, 1, 1, 4, 0, 2, 1, 4, 3, 3, 2, 1, 3, 2, 0, 4, 0, 1, 4, 2, 3, 4, 4, 4, 4, 4, 1, 0, 1, 3, 3, 2, 1, 3, 3, 2, 2, 4, 1, 3, 0, 0, 1, 0, 1, 3, 4, 0, 3, 4, 3, 0, 2, 3, 2, 2, 1, 4, 4, 1, 0, 1, 0, 4, 3, 0, 4, 2, 1, 3, 4, 4, 0, 0, 2, 3, 3, 1, 0, 1, 4, 0, 0, 2, 4, 1, 3, 3, 4, 0, 0, 2] pubkeycol1262 = [3, 1, 4, 3, 1, 0, 0, 4, 4, 0, 1, 0, 2, 3, 4, 2, 0, 1, 0, 0, 1, 1, 3, 4, 0, 2, 2, 0, 3, 2, 2, 0, 1, 1, 4, 2, 0, 0, 3, 0, 2, 2, 1, 4, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 3, 3, 4, 4, 2, 4, 1, 3, 0, 0, 4, 1, 0, 3, 2, 3, 4, 0, 4, 3, 3, 3, 4, 3, 2, 3, 1, 0, 2, 0, 2, 3, 3, 0, 1, 2, 2, 3, 4, 1, 4, 4, 1, 3, 3, 3, 0, 2, 3, 2, 4, 4, 4, 1, 2, 4, 3, 4, 0, 3, 1, 2, 3, 1, 4, 2, 0, 4, 1, 2, 1, 3, 4, 2, 4, 0, 0, 3, 4, 1, 0, 3, 1, 3, 0, 0, 3, 4, 4, 0, 2, 1, 1, 4, 4, 1, 3, 4, 3, 2, 3, 4, 2, 0, 3, 1, 4, 4, 4, 2, 3, 0, 3, 3, 1, 3, 3, 1, 1, 0, 4, 1, 4, 1, 0, 4, 4, 3, 2, 2, 3, 3, 3, 0, 0, 1, 4, 0, 3, 2, 1, 0, 0, 4, 4, 0, 4, 3, 0, 4, 2, 0, 2, 2, 4, 0, 2, 1, 2, 3, 2, 2, 2, 0, 0, 3, 3, 2, 1, 1, 0, 4, 2, 1, 4, 1, 3, 4, 2, 0, 1, 4, 3, 1, 4, 0, 0, 0, 4, 1, 4, 2, 3, 1, 4, 3, 1, 4, 3, 1, 1, 1, 4, 4, 4, 3, 3, 3, 2, 3, 0, 4, 3, 1, 2, 4, 2, 4, 2, 4, 1, 1, 1, 2, 2, 1, 4, 3, 2, 3, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 4, 2, 0, 2, 1, 4, 1, 1, 2, 1, 3, 1, 1, 3, 0, 1, 4, 3, 4, 2, 4, 1, 3, 2, 0, 4, 4, 0, 1, 4, 1, 0, 1, 4, 4, 4, 1, 4, 4, 2, 1, 4, 2, 3, 2, 1, 4, 0, 0, 2, 0, 1, 4, 3, 0, 3, 2, 1, 4, 0, 2, 0, 4, 0, 0, 2, 3, 4, 1, 2, 3, 3, 2, 2, 4, 2, 0, 4, 1, 1, 4, 1, 1, 2, 3, 2, 2, 3, 0, 1, 4, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 0, 4, 4, 0, 4, 1, 0, 3, 1, 1, 2, 1, 1, 3, 0, 3, 4, 4, 0, 2, 4, 3, 3, 0, 3, 3, 3, 0, 2, 2, 2, 4, 0, 2, 1, 0, 2, 0, 1, 3, 0, 0, 2, 3, 4, 1, 2, 3, 3, 1, 1, 3, 1, 4, 1, 1, 4, 3, 2, 4, 4, 4, 1, 4, 1, 4, 2, 4, 1, 2, 3, 0, 1, 0, 2, 3, 3, 3, 0, 3, 4, 3, 2, 4] pubkeycol1263 = [1, 4, 4, 2, 2, 0, 4, 2, 2, 1, 4, 0, 3, 4, 1, 2, 2, 4, 3, 4, 2, 1, 0, 0, 2, 0, 3, 0, 3, 0, 1, 0, 3, 1, 2, 2, 2, 2, 1, 2, 0, 1, 3, 4, 0, 4, 2, 3, 3, 3, 2, 2, 2, 1, 3, 1, 2, 3, 3, 2, 3, 3, 4, 3, 0, 2, 1, 3, 4, 1, 4, 0, 4, 3, 2, 4, 0, 4, 2, 2, 1, 2, 3, 4, 0, 2, 3, 1, 3, 0, 0, 3, 2, 2, 3, 2, 4, 2, 3, 0, 1, 3, 2, 4, 2, 0, 4, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 4, 2, 0, 0, 0, 3, 4, 3, 3, 2, 0, 3, 4, 1, 1, 0, 4, 2, 4, 0, 0, 4, 2, 0, 2, 3, 3, 3, 2, 0, 2, 0, 2, 3, 4, 1, 1, 0, 3, 2, 4, 4, 1, 3, 1, 1, 2, 0, 3, 1, 1, 0, 4, 0, 4, 1, 2, 1, 3, 1, 3, 2, 3, 1, 4, 2, 3, 2, 4, 1, 1, 2, 3, 4, 2, 3, 3, 0, 3, 4, 4, 1, 2, 0, 0, 0, 4, 4, 3, 4, 4, 0, 0, 4, 3, 1, 1, 1, 3, 3, 3, 2, 0, 2, 1, 1, 1, 3, 1, 3, 4, 4, 1, 2, 0, 1, 1, 2, 4, 0, 4, 1, 1, 3, 1, 3, 2, 2, 2, 3, 1, 1, 4, 3, 4, 0, 4, 1, 2, 3, 2, 0, 0, 3, 0, 4, 2, 0, 2, 3, 1, 1, 2, 0, 1, 2, 0, 3, 2, 4, 1, 3, 4, 3, 4, 2, 4, 2, 4, 1, 0, 3, 4, 3, 2, 4, 2, 0, 1, 2, 2, 4, 1, 3, 4, 1, 1, 4, 2, 1, 1, 0, 3, 3, 4, 3, 2, 4, 4, 1, 1, 2, 4, 3, 4, 3, 3, 0, 2, 4, 0, 2, 1, 3, 0, 1, 4, 4, 4, 2, 2, 4, 0, 3, 1, 1, 2, 0, 1, 0, 4, 1, 4, 4, 1, 1, 2, 2, 0, 0, 3, 0, 3, 3, 3, 1, 3, 4, 2, 4, 4, 1, 4, 3, 1, 2, 1, 4, 4, 2, 0, 2, 1, 2, 2, 0, 1, 4, 1, 4, 4, 4, 3, 1, 2, 0, 0, 0, 0, 4, 0, 0, 3, 3, 4, 2, 3, 2, 3, 1, 1, 3, 4, 3, 3, 2, 0, 1, 4, 1, 2, 4, 1, 1, 0, 0, 3, 2, 0, 3, 3, 4, 3, 3, 4, 3, 1, 4, 3, 1, 1, 4, 2, 0, 0, 4, 1, 3, 1, 2, 2, 1, 0, 3, 4, 1, 4, 0, 3, 2, 4, 0, 4, 4, 2, 1, 4, 2, 2, 1, 0, 3, 2, 3, 3, 1, 1, 1, 3, 4, 2, 0, 2] pubkeycol1264 = [2, 1, 4, 2, 3, 1, 1, 3, 3, 0, 4, 2, 2, 1, 4, 2, 4, 0, 4, 1, 1, 4, 4, 2, 3, 1, 2, 0, 4, 1, 2, 0, 0, 1, 4, 3, 3, 1, 4, 2, 2, 0, 2, 0, 3, 0, 3, 0, 3, 2, 0, 4, 4, 0, 4, 0, 4, 1, 0, 2, 2, 3, 0, 1, 1, 2, 3, 4, 0, 1, 4, 3, 2, 1, 4, 3, 3, 3, 1, 4, 3, 4, 2, 1, 2, 3, 1, 0, 2, 3, 0, 1, 2, 0, 4, 0, 1, 1, 3, 0, 0, 0, 0, 0, 3, 1, 0, 4, 1, 4, 2, 4, 0, 1, 0, 2, 0, 1, 1, 4, 2, 1, 1, 1, 4, 2, 4, 4, 1, 1, 4, 3, 4, 1, 2, 2, 0, 1, 0, 1, 3, 3, 1, 3, 2, 2, 1, 3, 4, 0, 4, 0, 1, 4, 4, 4, 2, 3, 1, 1, 1, 2, 1, 3, 2, 1, 2, 3, 2, 0, 4, 4, 4, 1, 2, 4, 3, 3, 1, 3, 1, 2, 3, 0, 0, 3, 2, 1, 4, 3, 0, 4, 4, 1, 0, 4, 3, 2, 0, 0, 0, 2, 4, 1, 4, 2, 0, 4, 2, 1, 1, 3, 1, 3, 2, 2, 3, 1, 3, 1, 3, 2, 1, 1, 1, 4, 4, 2, 2, 0, 3, 1, 0, 2, 4, 3, 2, 2, 3, 0, 1, 1, 1, 1, 3, 1, 4, 3, 2, 4, 2, 3, 0, 0, 0, 2, 4, 1, 0, 3, 4, 0, 4, 1, 1, 0, 4, 1, 4, 3, 3, 2, 0, 4, 2, 0, 0, 4, 4, 3, 0, 1, 4, 3, 1, 3, 1, 3, 3, 0, 4, 2, 4, 2, 0, 3, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 4, 0, 0, 4, 3, 2, 4, 0, 0, 0, 3, 0, 4, 0, 2, 3, 1, 2, 0, 1, 0, 2, 0, 2, 4, 1, 2, 4, 1, 3, 0, 2, 0, 2, 4, 2, 2, 3, 4, 1, 4, 1, 0, 4, 3, 2, 0, 3, 0, 2, 2, 2, 0, 4, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 4, 2, 1, 1, 3, 2, 0, 2, 0, 4, 3, 3, 0, 1, 4, 1, 1, 2, 3, 1, 2, 3, 4, 1, 0, 0, 1, 1, 2, 4, 2, 2, 1, 3, 1, 4, 4, 1, 4, 2, 2, 0, 3, 4, 4, 1, 1, 4, 4, 4, 2, 1, 1, 3, 2, 4, 1, 1, 3, 3, 1, 1, 4, 2, 2, 4, 3, 3, 0, 4, 1, 0, 1, 4, 2, 4, 3, 3, 0, 0, 0, 2, 0, 1, 0, 0, 4, 0, 0, 0, 2, 4, 2, 3, 4, 1, 3, 4, 2, 3, 4, 1, 1, 1, 3, 2, 3, 4] pubkeycol1265 = [3, 4, 4, 0, 2, 2, 2, 1, 1, 0, 4, 4, 1, 4, 0, 4, 0, 3, 1, 0, 1, 0, 2, 2, 1, 4, 0, 3, 4, 3, 4, 3, 3, 3, 0, 0, 1, 2, 0, 3, 0, 1, 0, 2, 3, 2, 0, 4, 2, 0, 4, 2, 4, 0, 1, 1, 0, 2, 0, 0, 3, 4, 0, 1, 2, 3, 4, 3, 2, 1, 2, 2, 4, 2, 4, 2, 0, 2, 1, 2, 1, 2, 0, 1, 3, 3, 3, 0, 4, 4, 2, 1, 1, 3, 2, 1, 4, 0, 0, 4, 3, 3, 4, 4, 1, 2, 3, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 3, 2, 1, 2, 4, 0, 3, 0, 3, 2, 3, 0, 2, 4, 3, 0, 4, 0, 3, 1, 4, 3, 2, 4, 0, 3, 2, 0, 4, 0, 3, 4, 4, 3, 0, 3, 2, 2, 3, 3, 1, 2, 3, 1, 1, 4, 4, 3, 4, 4, 4, 1, 1, 2, 4, 2, 2, 4, 0, 4, 2, 0, 2, 4, 1, 3, 4, 0, 1, 1, 2, 3, 2, 2, 1, 4, 2, 1, 4, 2, 1, 0, 2, 2, 4, 4, 3, 2, 2, 1, 1, 2, 4, 2, 4, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 3, 4, 2, 0, 4, 2, 3, 1, 2, 2, 1, 3, 1, 2, 1, 3, 4, 3, 2, 3, 0, 4, 3, 3, 4, 1, 3, 0, 0, 1, 2, 4, 4, 3, 1, 1, 0, 4, 2, 2, 4, 4, 4, 0, 4, 3, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 4, 1, 0, 1, 4, 0, 2, 4, 4, 2, 0, 4, 4, 0, 2, 0, 3, 0, 3, 1, 1, 1, 2, 3, 2, 0, 4, 0, 4, 0, 1, 3, 3, 2, 4, 0, 4, 0, 0, 0, 3, 0, 2, 0, 2, 3, 2, 3, 1, 4, 0, 3, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 4, 3, 2, 1, 0, 0, 0, 1, 3, 0, 1, 2, 3, 4, 3, 2, 1, 1, 0, 0, 1, 3, 4, 1, 1, 4, 2, 2, 4, 4, 4, 3, 4, 4, 4, 0, 1, 3, 2, 0, 4, 3, 3, 2, 2, 3, 1, 1, 3, 2, 1, 3, 2, 2, 4, 2, 0, 3, 2, 4, 0, 2, 2, 3, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 3, 2, 2, 0, 3, 2, 1, 1, 1, 0, 4, 4, 4, 4, 0, 2, 4, 2, 0, 0, 4, 1, 3, 1, 3, 4, 2, 1, 3, 0, 3, 3, 1, 1, 3, 4, 4, 2, 0, 0, 1, 4, 0, 1, 3, 2, 2, 2] pubkeycol1266 = [4, 2, 3, 2, 2, 2, 4, 1, 0, 4, 3, 1, 4, 2, 2, 1, 1, 1, 4, 2, 3, 3, 1, 3, 4, 0, 1, 0, 0, 1, 4, 2, 0, 0, 0, 4, 0, 0, 1, 2, 1, 3, 1, 3, 0, 1, 4, 0, 4, 0, 4, 1, 4, 1, 1, 4, 0, 4, 4, 0, 3, 2, 4, 4, 1, 3, 1, 3, 3, 4, 1, 3, 3, 0, 1, 4, 4, 4, 0, 0, 0, 0, 3, 2, 0, 1, 0, 0, 3, 2, 1, 1, 3, 4, 2, 4, 4, 3, 2, 0, 4, 4, 2, 1, 2, 0, 2, 2, 0, 0, 3, 0, 0, 4, 2, 3, 3, 4, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 4, 0, 2, 3, 1, 4, 3, 2, 2, 0, 2, 1, 4, 4, 1, 3, 3, 1, 1, 2, 1, 1, 1, 2, 0, 2, 3, 1, 0, 3, 2, 2, 3, 3, 3, 3, 0, 4, 2, 3, 0, 0, 3, 2, 2, 4, 0, 4, 0, 3, 1, 0, 4, 4, 1, 0, 1, 0, 3, 0, 4, 4, 1, 2, 3, 0, 2, 1, 4, 1, 4, 3, 1, 4, 1, 3, 3, 2, 3, 0, 1, 0, 1, 2, 4, 2, 0, 2, 1, 2, 4, 3, 1, 4, 4, 4, 1, 3, 0, 0, 4, 0, 1, 1, 3, 0, 1, 1, 1, 0, 4, 3, 2, 1, 1, 0, 1, 2, 0, 0, 1, 4, 3, 3, 2, 0, 0, 2, 0, 2, 4, 3, 1, 0, 1, 0, 3, 3, 2, 3, 2, 1, 1, 3, 2, 4, 3, 3, 3, 1, 1, 1, 3, 1, 3, 2, 2, 1, 3, 4, 2, 4, 0, 1, 0, 1, 2, 3, 2, 1, 0, 2, 2, 3, 2, 4, 0, 2, 0, 0, 1, 2, 2, 3, 0, 0, 2, 3, 0, 0, 4, 3, 4, 1, 2, 4, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 4, 1, 3, 0, 3, 0, 2, 1, 2, 1, 0, 2, 2, 3, 1, 2, 3, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 4, 4, 4, 3, 4, 3, 4, 3, 2, 2, 4, 0, 0, 3, 3, 4, 1, 3, 3, 4, 0, 3, 1, 4, 3, 4, 2, 4, 0, 3, 4, 0, 4, 0, 4, 4, 2, 4, 3, 2, 1, 2, 1, 0, 2, 1, 2, 4, 3, 4, 4, 2, 0, 2, 0, 0, 4, 0, 2, 3, 3, 3, 1, 3, 0, 2, 4, 3, 2, 3, 4, 4, 0, 3, 1, 2, 2, 0, 1, 1, 0, 4, 3, 4, 1, 1, 1, 1, 4, 2, 1, 3, 3, 4, 0, 2, 3, 1, 3, 0, 1, 1, 4, 1, 0, 1, 1, 1, 0, 3, 2, 2] pubkeycol1267 = [1, 2, 0, 2, 1, 0, 2, 2, 4, 2, 0, 2, 3, 4, 2, 4, 1, 1, 4, 0, 0, 4, 0, 1, 1, 2, 4, 1, 0, 0, 4, 1, 1, 0, 3, 3, 0, 2, 4, 1, 1, 3, 1, 0, 1, 3, 4, 0, 1, 0, 0, 4, 0, 3, 3, 3, 1, 2, 0, 0, 1, 1, 0, 1, 4, 2, 1, 4, 3, 4, 1, 1, 1, 1, 4, 2, 0, 1, 0, 4, 1, 1, 3, 0, 4, 1, 4, 4, 1, 0, 2, 0, 2, 3, 4, 1, 3, 1, 4, 1, 1, 2, 1, 2, 0, 3, 0, 4, 0, 1, 0, 1, 1, 2, 4, 3, 2, 2, 3, 1, 3, 3, 2, 3, 4, 1, 2, 4, 3, 4, 3, 2, 1, 2, 4, 4, 4, 4, 3, 0, 0, 0, 4, 1, 3, 0, 3, 1, 3, 3, 4, 2, 4, 0, 1, 0, 4, 1, 0, 0, 4, 2, 2, 0, 0, 2, 4, 3, 1, 3, 2, 0, 3, 1, 3, 2, 1, 1, 4, 4, 4, 4, 0, 0, 0, 2, 4, 0, 4, 1, 0, 3, 1, 4, 3, 1, 2, 4, 2, 1, 4, 4, 2, 3, 2, 3, 0, 2, 1, 2, 1, 2, 1, 1, 4, 0, 2, 0, 4, 2, 2, 0, 3, 3, 4, 1, 3, 2, 4, 4, 4, 4, 0, 0, 4, 3, 1, 3, 3, 1, 1, 4, 3, 1, 4, 2, 3, 1, 4, 0, 4, 2, 4, 1, 3, 4, 4, 0, 4, 4, 1, 4, 2, 1, 2, 1, 4, 3, 2, 3, 4, 1, 3, 1, 4, 1, 2, 4, 3, 4, 0, 1, 1, 0, 4, 1, 3, 2, 3, 4, 0, 3, 2, 4, 0, 1, 1, 0, 4, 4, 3, 1, 1, 3, 2, 4, 3, 0, 0, 4, 2, 0, 2, 4, 4, 1, 1, 3, 0, 1, 0, 1, 4, 3, 3, 2, 1, 2, 1, 2, 1, 1, 2, 3, 2, 1, 3, 3, 4, 1, 1, 4, 0, 4, 3, 1, 2, 1, 3, 4, 2, 4, 4, 2, 0, 0, 2, 3, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 4, 4, 2, 2, 1, 3, 3, 4, 1, 2, 4, 0, 4, 0, 0, 3, 2, 1, 0, 1, 0, 4, 1, 3, 2, 2, 2, 3, 0, 4, 0, 1, 0, 1, 3, 4, 4, 4, 0, 2, 1, 0, 4, 4, 1, 3, 4, 3, 0, 3, 2, 0, 3, 2, 4, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 3, 3, 1, 0, 2, 0, 2, 3, 3, 4, 4, 1, 3, 2, 0, 1, 4, 1, 3, 1, 3, 4, 1, 1, 2, 0, 1, 2, 4, 3, 0, 1, 2, 0, 1, 1, 3, 3, 0, 4, 2, 1, 4, 0, 4] pubkeycol1268 = [0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 4, 1, 0, 2, 1, 4, 1, 4, 1, 1, 3, 4, 3, 3, 1, 4, 0, 2, 3, 3, 0, 3, 1, 4, 1, 0, 2, 2, 3, 2, 0, 3, 2, 4, 4, 3, 3, 0, 4, 3, 1, 2, 0, 4, 4, 1, 0, 0, 4, 2, 3, 2, 3, 0, 1, 3, 3, 0, 0, 1, 4, 3, 2, 1, 2, 0, 2, 0, 4, 4, 4, 2, 3, 0, 2, 1, 4, 4, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 3, 0, 4, 0, 3, 2, 0, 3, 3, 0, 1, 0, 0, 2, 3, 4, 4, 3, 4, 4, 4, 2, 2, 1, 3, 0, 4, 4, 0, 1, 2, 4, 1, 1, 0, 1, 0, 3, 3, 2, 4, 2, 2, 2, 0, 3, 4, 3, 2, 1, 4, 1, 3, 3, 1, 1, 2, 1, 4, 3, 1, 0, 1, 2, 4, 2, 3, 1, 3, 4, 0, 4, 4, 4, 3, 1, 0, 2, 2, 4, 4, 4, 1, 2, 4, 0, 3, 4, 3, 3, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 2, 4, 3, 1, 1, 0, 1, 3, 2, 2, 3, 0, 2, 3, 4, 4, 4, 4, 3, 2, 4, 3, 3, 0, 4, 0, 1, 1, 4, 0, 1, 3, 2, 4, 1, 1, 3, 2, 1, 2, 4, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 3, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 4, 3, 0, 0, 3, 3, 2, 1, 4, 3, 3, 0, 3, 2, 4, 3, 3, 1, 4, 2, 3, 0, 0, 2, 0, 4, 0, 1, 3, 1, 4, 0, 3, 2, 2, 4, 2, 3, 0, 0, 2, 2, 2, 2, 1, 2, 4, 3, 2, 3, 3, 1, 4, 1, 0, 2, 3, 3, 1, 3, 1, 2, 1, 3, 3, 4, 0, 3, 0, 0, 3, 1, 3, 3, 4, 4, 4, 2, 1, 2, 4, 1, 2, 0, 1, 2, 1, 3, 4, 1, 1, 1, 2, 4, 4, 2, 0, 1, 4, 1, 2, 4, 2, 1, 2, 2, 3, 3, 3, 1, 3, 3, 0, 3, 3, 2, 2, 4, 0, 2, 2, 3, 3, 2, 2, 1, 0, 4, 1, 0, 1, 4, 2, 2, 0, 3, 3, 3, 4, 1, 0, 4, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 3, 4, 4, 4, 2, 2, 4, 4, 2, 1, 4, 3, 0, 1, 2, 0, 1, 3, 2, 2, 1, 3, 4, 3, 1, 4, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 0, 1, 2, 0, 3, 0, 1, 4, 2, 3, 3, 1, 0, 3, 0, 4, 1, 3, 1, 3, 0, 1, 1, 2, 0, 1] pubkeycol1269 = [2, 1, 4, 3, 4, 2, 3, 3, 1, 4, 0, 0, 3, 3, 0, 1, 0, 0, 0, 0, 1, 3, 3, 2, 2, 4, 1, 0, 0, 4, 0, 4, 2, 0, 2, 4, 2, 2, 0, 3, 1, 1, 4, 1, 2, 3, 2, 4, 0, 2, 2, 3, 4, 4, 4, 4, 1, 1, 3, 2, 4, 4, 3, 0, 3, 3, 0, 0, 4, 3, 1, 1, 2, 2, 2, 1, 1, 1, 3, 0, 2, 0, 0, 1, 2, 2, 2, 4, 1, 3, 0, 0, 0, 3, 3, 0, 2, 4, 1, 3, 4, 2, 3, 3, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 1, 1, 2, 1, 2, 0, 4, 4, 3, 0, 0, 3, 1, 1, 2, 0, 0, 3, 4, 4, 0, 2, 1, 3, 1, 0, 4, 2, 1, 4, 3, 4, 1, 4, 1, 0, 2, 4, 1, 2, 1, 3, 0, 0, 0, 2, 2, 1, 1, 3, 0, 2, 3, 0, 0, 1, 0, 3, 4, 2, 4, 2, 1, 2, 0, 2, 0, 4, 4, 3, 1, 1, 2, 1, 4, 1, 1, 1, 1, 3, 0, 2, 3, 0, 4, 1, 2, 1, 0, 3, 0, 4, 2, 4, 3, 0, 3, 3, 2, 4, 3, 2, 1, 3, 2, 1, 4, 4, 1, 3, 4, 4, 1, 0, 1, 3, 3, 3, 3, 0, 2, 2, 0, 0, 3, 4, 4, 4, 3, 2, 0, 4, 4, 0, 3, 2, 1, 4, 4, 3, 4, 1, 3, 2, 0, 3, 4, 0, 0, 3, 1, 0, 4, 0, 4, 1, 0, 3, 3, 1, 1, 0, 1, 2, 2, 1, 0, 2, 3, 1, 2, 0, 0, 3, 1, 1, 3, 1, 4, 0, 0, 3, 0, 4, 2, 4, 2, 0, 0, 2, 2, 4, 2, 4, 1, 0, 2, 2, 2, 4, 2, 3, 0, 2, 0, 4, 4, 4, 1, 2, 3, 0, 3, 3, 4, 3, 4, 1, 2, 1, 3, 0, 4, 2, 2, 2, 1, 0, 1, 2, 2, 3, 1, 0, 0, 0, 0, 0, 2, 4, 0, 2, 0, 1, 1, 1, 2, 0, 4, 3, 2, 0, 4, 4, 0, 4, 2, 1, 4, 3, 1, 3, 1, 0, 3, 3, 2, 4, 4, 2, 1, 2, 0, 3, 0, 3, 4, 1, 2, 4, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 4, 1, 0, 4, 3, 1, 2, 3, 3, 2, 0, 2, 3, 1, 1, 3, 4, 0, 4, 1, 0, 2, 4, 3, 4, 0, 4, 1, 4, 3, 4, 3, 4, 2, 0, 1, 3, 4, 3, 0, 2, 4, 2, 2, 0, 1, 0, 4, 1, 1, 1, 0, 0, 4, 2, 3, 0, 4, 2, 3, 4, 1, 2, 0, 2, 1, 1, 0, 4, 2, 2, 3, 3, 0, 0, 4] pubkeycol1270 = [1, 3, 4, 2, 1, 0, 3, 0, 3, 0, 1, 1, 0, 3, 1, 3, 0, 3, 4, 1, 1, 4, 4, 4, 3, 0, 4, 0, 4, 3, 3, 4, 0, 3, 2, 3, 3, 3, 3, 0, 2, 1, 4, 1, 1, 4, 4, 3, 2, 4, 0, 1, 3, 4, 0, 3, 2, 3, 4, 3, 4, 2, 3, 1, 4, 2, 2, 4, 4, 0, 2, 0, 0, 2, 0, 0, 2, 0, 3, 3, 3, 2, 1, 3, 0, 4, 1, 4, 4, 1, 3, 4, 3, 1, 2, 4, 1, 0, 1, 1, 1, 2, 1, 1, 3, 0, 4, 1, 1, 3, 4, 0, 0, 4, 1, 4, 1, 0, 1, 4, 0, 0, 1, 2, 4, 2, 4, 2, 2, 1, 0, 4, 2, 4, 3, 2, 1, 4, 0, 4, 2, 1, 2, 4, 0, 4, 1, 4, 0, 1, 0, 4, 0, 3, 3, 2, 1, 1, 1, 1, 2, 0, 0, 0, 3, 3, 1, 1, 4, 0, 1, 1, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 2, 3, 4, 0, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 3, 0, 0, 2, 3, 4, 3, 2, 2, 0, 3, 0, 2, 1, 2, 3, 0, 1, 2, 1, 4, 0, 1, 3, 4, 0, 0, 0, 1, 4, 1, 2, 4, 2, 0, 1, 1, 0, 0, 4, 0, 2, 3, 1, 0, 2, 0, 1, 1, 0, 1, 2, 4, 1, 1, 4, 4, 0, 1, 1, 3, 1, 0, 0, 1, 2, 0, 1, 0, 4, 2, 1, 3, 4, 1, 3, 0, 2, 1, 0, 1, 1, 4, 0, 1, 2, 4, 3, 4, 3, 2, 2, 1, 0, 2, 3, 3, 3, 3, 3, 3, 0, 2, 1, 2, 3, 3, 4, 4, 2, 4, 3, 0, 4, 1, 1, 1, 4, 1, 0, 2, 3, 1, 1, 0, 1, 1, 4, 4, 0, 4, 1, 2, 0, 1, 2, 0, 1, 0, 2, 4, 0, 4, 4, 0, 4, 3, 1, 0, 4, 2, 1, 0, 4, 0, 3, 0, 4, 3, 1, 2, 2, 0, 4, 1, 1, 2, 0, 4, 4, 3, 3, 1, 2, 4, 2, 3, 0, 3, 1, 3, 1, 4, 1, 2, 2, 2, 3, 0, 2, 4, 0, 4, 4, 1, 2, 0, 1, 3, 1, 4, 0, 3, 4, 0, 2, 1, 1, 2, 3, 2, 1, 0, 1, 3, 2, 2, 3, 4, 1, 0, 4, 1, 1, 1, 3, 0, 2, 3, 1, 1, 4, 1, 1, 0, 3, 3, 0, 4, 3, 0, 1, 4, 3, 1, 4, 4, 2, 4, 0, 3, 3, 2, 4, 3, 1, 3, 4, 4, 4, 0, 3, 2, 3, 0, 1, 4, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 1, 3, 0, 4] pubkeycol1271 = [4, 2, 0, 0, 3, 1, 1, 4, 3, 2, 4, 3, 2, 3, 1, 3, 1, 4, 2, 2, 0, 0, 0, 1, 2, 3, 3, 4, 2, 0, 0, 4, 2, 0, 2, 3, 2, 4, 4, 3, 4, 3, 4, 1, 0, 1, 0, 3, 4, 2, 4, 0, 1, 0, 4, 0, 4, 0, 0, 3, 2, 4, 4, 4, 2, 4, 0, 4, 3, 2, 1, 2, 2, 1, 0, 2, 2, 3, 4, 4, 0, 0, 0, 0, 2, 3, 4, 4, 1, 0, 1, 2, 0, 2, 1, 1, 4, 2, 2, 2, 2, 2, 2, 3, 4, 0, 4, 3, 3, 1, 0, 0, 3, 0, 3, 3, 3, 4, 3, 4, 3, 3, 2, 2, 2, 3, 3, 0, 1, 4, 2, 0, 1, 2, 3, 0, 1, 3, 1, 1, 0, 4, 3, 4, 3, 3, 1, 4, 3, 1, 4, 3, 2, 0, 4, 4, 1, 2, 4, 1, 2, 4, 1, 1, 4, 0, 4, 0, 4, 2, 0, 3, 4, 2, 2, 4, 2, 3, 2, 2, 2, 3, 4, 3, 0, 4, 0, 3, 4, 3, 4, 2, 4, 0, 0, 2, 1, 1, 3, 4, 4, 4, 2, 1, 2, 2, 4, 0, 0, 1, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 2, 3, 2, 1, 0, 4, 3, 1, 0, 3, 1, 4, 3, 0, 1, 1, 3, 0, 3, 0, 3, 2, 1, 4, 1, 2, 2, 1, 4, 0, 3, 0, 2, 0, 3, 4, 4, 4, 2, 4, 4, 1, 2, 4, 3, 3, 2, 4, 2, 1, 0, 0, 0, 2, 4, 3, 3, 0, 1, 1, 1, 0, 1, 1, 4, 3, 3, 4, 3, 2, 4, 1, 4, 1, 0, 3, 0, 0, 3, 4, 0, 1, 1, 2, 4, 3, 0, 2, 0, 0, 2, 4, 1, 4, 4, 0, 1, 3, 3, 2, 1, 4, 2, 2, 0, 4, 3, 3, 3, 4, 1, 1, 4, 0, 2, 2, 4, 0, 4, 4, 4, 1, 3, 4, 2, 1, 2, 4, 2, 3, 4, 1, 0, 0, 1, 2, 0, 3, 3, 1, 4, 4, 1, 4, 4, 0, 1, 4, 4, 4, 0, 2, 1, 2, 0, 3, 3, 3, 1, 4, 2, 1, 0, 4, 4, 1, 2, 3, 2, 3, 0, 4, 2, 4, 2, 2, 4, 0, 1, 0, 4, 3, 3, 1, 2, 1, 0, 0, 4, 1, 1, 1, 4, 1, 4, 1, 0, 4, 4, 0, 2, 2, 4, 1, 1, 3, 1, 1, 3, 2, 3, 4, 3, 1, 3, 2, 4, 3, 4, 0, 1, 3, 0, 4, 3, 1, 0, 1, 1, 3, 2, 2, 0, 3, 1, 4, 2, 0, 4, 1, 0, 4, 1, 0, 4, 4, 1, 2, 2, 3, 2, 1, 0, 0, 2, 1, 0, 4, 1, 3] pubkeycol1272 = [3, 1, 3, 1, 1, 3, 3, 3, 2, 0, 2, 0, 3, 3, 4, 1, 3, 4, 4, 0, 4, 2, 3, 4, 2, 4, 0, 0, 0, 0, 1, 3, 0, 2, 3, 3, 4, 0, 0, 0, 2, 3, 2, 3, 2, 0, 1, 0, 0, 1, 4, 3, 4, 1, 0, 4, 3, 0, 1, 2, 0, 0, 1, 1, 3, 0, 2, 3, 4, 0, 4, 2, 1, 2, 0, 4, 0, 3, 0, 2, 3, 1, 1, 1, 2, 3, 4, 0, 2, 1, 1, 3, 3, 2, 4, 1, 2, 2, 4, 1, 4, 0, 1, 2, 4, 0, 0, 4, 3, 4, 2, 3, 2, 1, 1, 2, 4, 1, 1, 1, 1, 1, 2, 1, 2, 3, 2, 2, 4, 4, 3, 3, 4, 1, 2, 3, 0, 2, 0, 1, 3, 1, 2, 3, 0, 1, 2, 1, 1, 4, 1, 3, 0, 4, 4, 4, 1, 4, 4, 0, 1, 1, 3, 1, 4, 3, 3, 4, 0, 2, 3, 2, 2, 2, 4, 1, 3, 0, 4, 3, 0, 4, 4, 2, 2, 4, 4, 2, 3, 3, 4, 1, 1, 3, 2, 1, 2, 2, 4, 4, 1, 1, 2, 1, 1, 4, 4, 0, 0, 1, 2, 2, 4, 3, 3, 2, 0, 2, 0, 1, 4, 4, 3, 4, 4, 3, 3, 4, 0, 4, 1, 1, 0, 0, 1, 4, 1, 3, 4, 1, 3, 3, 4, 1, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 0, 2, 1, 3, 4, 2, 4, 4, 3, 3, 4, 4, 4, 2, 2, 3, 3, 3, 4, 4, 2, 0, 3, 1, 0, 0, 3, 2, 4, 4, 0, 2, 4, 3, 4, 0, 1, 2, 3, 1, 4, 4, 1, 2, 3, 3, 3, 1, 4, 3, 1, 1, 4, 4, 4, 2, 4, 0, 1, 2, 0, 0, 2, 3, 3, 3, 1, 2, 4, 3, 4, 0, 0, 1, 0, 1, 1, 4, 3, 3, 1, 1, 2, 0, 0, 4, 1, 4, 1, 0, 0, 0, 3, 0, 2, 1, 3, 0, 2, 1, 4, 0, 3, 4, 1, 1, 4, 0, 4, 3, 4, 3, 4, 0, 3, 4, 1, 1, 2, 0, 0, 0, 0, 3, 1, 2, 3, 4, 1, 2, 2, 1, 1, 0, 0, 0, 3, 0, 1, 4, 3, 3, 0, 0, 4, 1, 3, 3, 4, 3, 0, 2, 3, 4, 4, 1, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 1, 4, 0, 1, 1, 1, 4, 2, 3, 2, 1, 0, 1, 0, 0, 0, 4, 1, 2, 0, 1, 4, 3, 1, 3, 1, 2, 3, 2, 1, 2, 2, 3, 2, 3, 1, 4, 0, 4, 0, 1, 1, 4, 2, 0, 0, 3, 0, 4, 0, 3, 2, 4, 1, 0, 2, 2, 1, 1, 0] pubkeycol1273 = [3, 0, 0, 1, 1, 2, 3, 2, 2, 2, 3, 1, 2, 0, 0, 0, 4, 2, 1, 1, 3, 1, 4, 0, 0, 1, 0, 3, 0, 4, 3, 1, 1, 2, 3, 1, 3, 0, 3, 1, 3, 4, 3, 1, 2, 2, 4, 4, 4, 2, 3, 2, 3, 4, 1, 2, 4, 4, 1, 3, 1, 2, 4, 4, 1, 4, 3, 2, 2, 4, 0, 0, 0, 4, 3, 1, 0, 4, 1, 3, 1, 3, 4, 3, 4, 1, 2, 0, 2, 3, 0, 0, 2, 0, 3, 3, 1, 0, 1, 3, 3, 0, 2, 4, 2, 0, 2, 1, 2, 4, 2, 2, 0, 4, 4, 4, 0, 3, 4, 2, 2, 4, 1, 3, 2, 0, 0, 3, 4, 3, 2, 3, 4, 4, 1, 4, 4, 0, 2, 3, 1, 4, 1, 0, 3, 1, 1, 0, 0, 1, 2, 2, 2, 4, 0, 4, 3, 0, 1, 3, 2, 0, 3, 1, 4, 3, 0, 2, 3, 0, 4, 0, 4, 2, 2, 4, 4, 4, 0, 0, 3, 2, 0, 1, 3, 0, 2, 3, 3, 1, 4, 4, 2, 4, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 3, 0, 0, 3, 2, 0, 0, 3, 0, 1, 1, 3, 1, 3, 3, 2, 2, 4, 2, 0, 1, 4, 2, 4, 0, 3, 2, 4, 0, 4, 2, 2, 1, 1, 4, 4, 2, 4, 2, 2, 4, 0, 2, 3, 3, 3, 3, 3, 4, 2, 4, 3, 1, 3, 0, 4, 2, 3, 3, 2, 4, 1, 1, 4, 1, 4, 2, 1, 1, 0, 4, 0, 2, 3, 2, 2, 0, 2, 1, 0, 0, 3, 0, 1, 0, 3, 4, 3, 2, 3, 3, 1, 2, 2, 0, 3, 4, 4, 0, 0, 3, 0, 3, 4, 4, 0, 4, 3, 3, 2, 3, 2, 4, 1, 1, 1, 0, 3, 4, 3, 1, 1, 4, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 4, 3, 2, 3, 2, 3, 0, 0, 3, 4, 4, 1, 2, 1, 2, 2, 2, 0, 1, 3, 3, 1, 3, 0, 0, 0, 3, 4, 1, 3, 1, 3, 3, 1, 1, 4, 1, 3, 0, 4, 2, 2, 3, 1, 4, 0, 0, 1, 0, 4, 1, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 3, 0, 1, 3, 4, 3, 0, 1, 4, 1, 1, 3, 2, 1, 2, 3, 3, 3, 4, 4, 3, 3, 1, 0, 4, 3, 2, 0, 4, 3, 0, 0, 0, 0, 3, 0, 0, 2, 4, 4, 2, 3, 4, 1, 4, 3, 1, 0, 1, 1, 4, 1, 4, 2, 1, 0, 0, 4, 0, 3, 0, 1, 4, 0, 4, 3, 3, 0, 0, 4, 0, 0, 3, 3, 0, 1, 3] pubkeycol1274 = [4, 4, 4, 1, 2, 3, 0, 1, 2, 0, 1, 3, 1, 4, 0, 0, 2, 4, 2, 4, 2, 3, 3, 3, 2, 3, 0, 1, 3, 4, 3, 0, 4, 1, 3, 4, 0, 2, 1, 0, 2, 0, 0, 0, 3, 1, 1, 2, 3, 1, 3, 4, 1, 1, 2, 0, 1, 0, 0, 1, 3, 4, 2, 3, 0, 3, 0, 1, 1, 4, 0, 2, 0, 0, 3, 4, 2, 3, 2, 1, 1, 3, 0, 3, 1, 3, 3, 2, 0, 3, 0, 1, 2, 3, 3, 1, 1, 4, 2, 2, 4, 4, 1, 1, 4, 2, 3, 3, 4, 1, 4, 0, 0, 2, 2, 3, 4, 0, 1, 1, 0, 3, 1, 0, 2, 0, 1, 4, 3, 2, 2, 4, 4, 1, 3, 3, 1, 2, 1, 4, 4, 0, 4, 3, 3, 4, 4, 0, 1, 0, 0, 1, 3, 2, 0, 4, 1, 2, 0, 1, 3, 4, 2, 2, 2, 4, 0, 0, 0, 3, 2, 4, 0, 0, 3, 2, 0, 1, 4, 3, 2, 0, 3, 4, 3, 3, 2, 2, 3, 1, 3, 0, 1, 1, 0, 1, 3, 0, 1, 4, 1, 3, 2, 4, 1, 4, 4, 1, 3, 1, 4, 4, 0, 3, 1, 2, 1, 0, 4, 3, 3, 2, 4, 4, 4, 3, 2, 1, 0, 0, 3, 2, 0, 3, 0, 0, 0, 2, 3, 0, 2, 3, 1, 1, 3, 0, 1, 3, 0, 1, 3, 4, 0, 0, 0, 3, 3, 3, 3, 2, 0, 3, 0, 1, 4, 4, 1, 4, 3, 0, 1, 0, 3, 3, 4, 0, 0, 3, 4, 2, 4, 1, 0, 2, 0, 3, 3, 3, 1, 0, 0, 4, 3, 3, 3, 2, 2, 2, 1, 4, 1, 2, 2, 4, 3, 1, 0, 3, 0, 3, 4, 4, 2, 2, 1, 1, 0, 4, 4, 0, 0, 0, 4, 3, 3, 3, 1, 1, 3, 1, 3, 2, 3, 2, 2, 3, 2, 4, 3, 1, 1, 0, 4, 3, 2, 0, 4, 0, 2, 4, 1, 0, 0, 3, 0, 3, 4, 2, 3, 3, 0, 2, 4, 1, 3, 1, 2, 0, 0, 0, 0, 2, 3, 4, 1, 3, 1, 3, 1, 3, 0, 3, 0, 2, 1, 3, 3, 0, 2, 0, 2, 1, 3, 4, 1, 3, 0, 2, 0, 3, 3, 3, 4, 0, 2, 0, 0, 3, 3, 4, 3, 2, 0, 3, 0, 4, 2, 4, 3, 2, 0, 0, 3, 3, 0, 0, 2, 3, 2, 3, 0, 4, 3, 3, 1, 1, 2, 2, 4, 0, 0, 2, 2, 4, 4, 0, 0, 4, 2, 3, 1, 4, 1, 2, 4, 0, 1, 2, 4, 3, 4, 0, 1, 1, 0, 4, 3, 3, 4, 4, 1, 4, 1, 4, 2, 1, 4, 4, 0, 4] pubkeycol1275 = [1, 1, 3, 2, 0, 2, 2, 1, 4, 2, 2, 3, 2, 0, 4, 4, 0, 3, 1, 0, 3, 0, 1, 0, 3, 1, 0, 2, 4, 4, 0, 3, 1, 2, 1, 0, 2, 3, 0, 0, 1, 2, 0, 3, 2, 4, 2, 4, 3, 4, 0, 4, 2, 4, 2, 0, 3, 2, 1, 2, 3, 3, 3, 4, 2, 2, 3, 2, 3, 4, 4, 4, 0, 3, 0, 4, 4, 2, 1, 0, 1, 0, 2, 0, 4, 0, 4, 2, 2, 3, 0, 3, 2, 3, 3, 1, 4, 0, 3, 4, 1, 0, 4, 0, 2, 1, 2, 1, 1, 0, 4, 1, 4, 0, 0, 4, 4, 1, 1, 0, 2, 1, 1, 2, 4, 2, 1, 0, 0, 3, 0, 1, 4, 0, 0, 0, 1, 0, 0, 3, 0, 2, 4, 3, 1, 4, 2, 3, 2, 1, 1, 1, 2, 1, 2, 3, 2, 4, 0, 4, 4, 1, 1, 1, 2, 0, 4, 0, 1, 0, 1, 1, 1, 4, 1, 1, 3, 1, 3, 4, 3, 4, 3, 0, 3, 3, 1, 1, 3, 4, 4, 4, 4, 2, 2, 0, 0, 2, 2, 0, 4, 2, 4, 0, 4, 1, 4, 0, 2, 4, 2, 2, 2, 3, 3, 2, 2, 3, 4, 3, 0, 3, 3, 2, 1, 1, 4, 0, 3, 3, 4, 1, 4, 2, 1, 1, 4, 4, 3, 1, 2, 3, 0, 0, 4, 2, 4, 2, 4, 3, 2, 2, 0, 4, 1, 0, 4, 0, 2, 3, 2, 3, 0, 1, 1, 4, 3, 3, 0, 0, 4, 1, 1, 4, 0, 2, 0, 1, 0, 4, 0, 3, 2, 3, 2, 0, 4, 4, 0, 0, 2, 2, 2, 3, 2, 1, 3, 3, 1, 1, 4, 3, 4, 0, 4, 0, 2, 3, 4, 1, 3, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 3, 2, 1, 4, 2, 2, 2, 3, 1, 4, 1, 3, 0, 1, 3, 4, 0, 3, 2, 4, 0, 4, 3, 0, 1, 2, 4, 3, 1, 0, 1, 0, 0, 4, 1, 4, 2, 0, 2, 0, 1, 4, 1, 0, 3, 3, 0, 0, 2, 4, 3, 1, 0, 1, 3, 1, 1, 4, 2, 3, 2, 3, 2, 0, 2, 4, 3, 1, 2, 4, 0, 0, 1, 1, 1, 4, 0, 3, 1, 1, 4, 3, 0, 1, 4, 2, 2, 0, 4, 4, 3, 0, 3, 3, 2, 1, 3, 0, 1, 0, 3, 3, 2, 3, 3, 0, 1, 3, 1, 3, 1, 1, 0, 0, 1, 0, 2, 3, 0, 3, 4, 1, 1, 4, 3, 3, 2, 1, 2, 0, 0, 4, 3, 2, 0, 4, 1, 4, 2, 3, 0, 1, 4, 1, 1, 2, 0, 3, 4, 4, 4, 0, 1, 3, 0, 1, 3] pubkeycol1276 = [4, 4, 3, 2, 4, 2, 3, 1, 3, 2, 0, 4, 2, 0, 4, 4, 0, 4, 4, 3, 3, 0, 2, 2, 3, 0, 3, 2, 3, 0, 1, 1, 2, 0, 2, 4, 4, 0, 0, 4, 2, 0, 1, 0, 1, 4, 0, 0, 3, 0, 4, 1, 0, 1, 3, 2, 1, 3, 4, 3, 0, 2, 2, 4, 2, 2, 1, 1, 0, 0, 4, 3, 3, 4, 0, 2, 4, 0, 4, 0, 4, 3, 3, 0, 0, 1, 3, 3, 3, 0, 1, 2, 4, 3, 4, 3, 0, 2, 1, 3, 2, 4, 0, 4, 4, 2, 2, 2, 1, 1, 4, 1, 2, 4, 3, 0, 2, 4, 2, 2, 3, 2, 3, 3, 4, 3, 4, 0, 0, 2, 0, 3, 1, 1, 4, 3, 2, 1, 1, 4, 4, 2, 2, 2, 1, 2, 3, 3, 3, 1, 3, 0, 3, 4, 4, 0, 4, 2, 1, 1, 2, 2, 1, 4, 4, 1, 4, 4, 3, 3, 2, 4, 1, 1, 4, 3, 2, 2, 3, 2, 0, 2, 4, 2, 4, 1, 4, 0, 4, 0, 0, 3, 3, 0, 2, 3, 1, 3, 1, 3, 0, 4, 3, 0, 3, 1, 1, 0, 0, 3, 2, 4, 0, 1, 0, 4, 0, 0, 2, 3, 1, 3, 3, 1, 4, 2, 1, 0, 2, 2, 0, 0, 4, 1, 3, 4, 2, 1, 4, 2, 0, 2, 4, 2, 1, 3, 2, 1, 4, 0, 3, 1, 0, 0, 0, 3, 1, 2, 0, 3, 2, 2, 1, 1, 1, 2, 3, 4, 0, 4, 2, 3, 0, 0, 0, 2, 3, 0, 4, 1, 4, 3, 0, 4, 0, 4, 3, 1, 4, 1, 2, 3, 4, 3, 3, 0, 1, 0, 1, 3, 2, 1, 1, 0, 3, 1, 3, 2, 0, 0, 3, 4, 0, 3, 3, 1, 0, 2, 2, 4, 4, 4, 0, 3, 1, 2, 3, 3, 0, 4, 4, 1, 4, 0, 2, 1, 3, 3, 0, 3, 3, 3, 2, 3, 4, 1, 0, 0, 4, 1, 2, 3, 4, 3, 1, 2, 3, 1, 4, 3, 0, 4, 4, 4, 1, 4, 2, 1, 2, 4, 1, 4, 1, 2, 2, 2, 1, 0, 1, 4, 2, 1, 2, 0, 1, 0, 1, 2, 3, 0, 3, 2, 3, 4, 2, 0, 3, 1, 1, 2, 1, 4, 3, 3, 2, 2, 1, 2, 4, 0, 4, 0, 0, 4, 3, 2, 0, 4, 2, 4, 2, 4, 2, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 1, 3, 0, 1, 2, 2, 4, 2, 4, 2, 4, 4, 3, 2, 4, 0, 0, 0, 1, 2, 4, 4, 3, 1, 3, 4, 4, 4, 3, 2, 4, 3, 0, 0, 1, 2, 1, 3, 4, 1, 4, 3, 1, 1, 0, 3, 1] pubkeycol1277 = [1, 4, 3, 4, 0, 3, 4, 1, 3, 2, 1, 0, 0, 2, 2, 4, 3, 0, 4, 1, 2, 2, 0, 4, 3, 3, 4, 2, 2, 0, 3, 2, 0, 1, 1, 0, 3, 3, 0, 2, 3, 4, 1, 3, 2, 2, 4, 1, 2, 3, 2, 2, 2, 1, 2, 3, 4, 1, 0, 3, 3, 1, 4, 0, 2, 3, 0, 4, 4, 4, 0, 3, 2, 4, 0, 0, 3, 3, 2, 1, 1, 1, 4, 4, 2, 3, 4, 1, 0, 2, 1, 1, 0, 0, 4, 3, 3, 2, 1, 4, 2, 4, 0, 1, 4, 0, 3, 3, 1, 2, 4, 1, 0, 0, 1, 4, 3, 3, 2, 0, 0, 3, 0, 0, 1, 1, 1, 0, 1, 2, 1, 4, 1, 1, 2, 2, 0, 2, 2, 1, 2, 3, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 4, 0, 1, 1, 0, 1, 4, 4, 3, 3, 3, 3, 4, 1, 3, 3, 4, 2, 3, 4, 4, 2, 3, 3, 2, 1, 3, 1, 0, 2, 1, 2, 1, 2, 1, 0, 4, 2, 0, 2, 2, 4, 0, 1, 2, 0, 2, 1, 4, 4, 2, 3, 4, 0, 3, 3, 0, 4, 2, 4, 0, 4, 2, 2, 2, 3, 2, 2, 0, 4, 2, 3, 3, 4, 3, 1, 0, 0, 3, 3, 1, 0, 1, 3, 3, 4, 3, 3, 2, 1, 1, 3, 0, 3, 2, 1, 2, 4, 0, 4, 3, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 4, 1, 3, 0, 4, 1, 3, 0, 1, 2, 1, 2, 1, 4, 2, 3, 0, 4, 0, 0, 2, 0, 2, 3, 3, 2, 2, 0, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 3, 0, 0, 2, 2, 2, 4, 2, 3, 1, 4, 4, 2, 3, 4, 4, 2, 2, 3, 4, 0, 3, 0, 0, 3, 1, 4, 0, 1, 1, 0, 3, 3, 3, 1, 4, 3, 4, 4, 0, 3, 2, 0, 0, 1, 1, 3, 1, 3, 4, 1, 2, 4, 1, 0, 1, 1, 3, 1, 1, 2, 4, 1, 0, 3, 0, 4, 4, 4, 3, 2, 3, 3, 1, 0, 2, 1, 2, 1, 4, 4, 4, 4, 4, 0, 2, 2, 3, 0, 4, 3, 1, 3, 0, 2, 2, 1, 3, 4, 2, 0, 1, 0, 3, 0, 1, 3, 1, 3, 2, 1, 1, 0, 1, 3, 4, 1, 3, 2, 3, 0, 1, 3, 4, 2, 0, 2, 0, 3, 1, 4, 2, 1, 0, 2, 1, 4, 2, 2, 4, 4, 1, 1, 3, 0, 1, 0, 2, 2, 4, 2, 2, 3, 0, 0, 1, 3, 3, 0, 4, 0, 0, 3, 0, 4, 3, 0, 4, 4, 3, 3, 0, 3, 1, 4, 3, 1] pubkeycol1278 = [1, 0, 0, 3, 3, 3, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 3, 3, 3, 0, 4, 2, 3, 0, 0, 4, 1, 1, 3, 0, 4, 0, 1, 3, 2, 3, 2, 0, 2, 3, 4, 3, 1, 2, 0, 4, 4, 1, 1, 1, 4, 4, 3, 2, 0, 4, 0, 1, 4, 2, 3, 0, 1, 0, 1, 0, 1, 3, 3, 1, 2, 1, 0, 0, 2, 3, 3, 2, 4, 2, 4, 4, 0, 3, 1, 0, 4, 2, 2, 2, 2, 1, 2, 3, 2, 0, 1, 3, 3, 4, 1, 3, 2, 4, 0, 4, 2, 0, 1, 4, 0, 3, 4, 0, 3, 1, 0, 2, 0, 3, 1, 3, 1, 4, 4, 4, 3, 4, 3, 2, 4, 0, 1, 2, 1, 2, 2, 3, 1, 3, 3, 4, 3, 0, 4, 2, 0, 1, 0, 4, 3, 3, 1, 0, 1, 4, 4, 3, 3, 2, 3, 0, 2, 1, 4, 0, 1, 0, 4, 0, 1, 4, 4, 0, 1, 2, 4, 3, 2, 4, 1, 1, 3, 0, 4, 4, 1, 4, 4, 2, 3, 0, 0, 0, 3, 0, 4, 2, 3, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 4, 1, 4, 3, 1, 0, 3, 1, 4, 1, 1, 1, 1, 4, 3, 3, 3, 0, 3, 1, 3, 0, 2, 1, 4, 4, 4, 4, 1, 4, 4, 3, 2, 1, 2, 2, 3, 4, 2, 0, 3, 2, 0, 3, 0, 4, 4, 1, 4, 3, 2, 1, 3, 1, 1, 0, 4, 3, 1, 2, 2, 0, 1, 4, 2, 2, 0, 4, 1, 3, 3, 3, 0, 3, 0, 1, 3, 1, 4, 2, 1, 0, 1, 2, 3, 3, 3, 0, 4, 2, 1, 2, 3, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 3, 2, 3, 4, 3, 3, 0, 1, 2, 3, 2, 1, 2, 0, 1, 0, 4, 1, 2, 4, 0, 3, 2, 4, 4, 0, 4, 2, 4, 3, 1, 4, 1, 4, 1, 1, 2, 4, 4, 4, 0, 0, 3, 3, 1, 4, 1, 3, 1, 0, 2, 3, 4, 0, 3, 0, 1, 4, 0, 4, 4, 0, 2, 1, 2, 4, 2, 3, 0, 0, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 3, 3, 2, 1, 1, 0, 1, 4, 3, 3, 2, 3, 2, 4, 0, 0, 3, 4, 2, 1, 3, 4, 3, 0, 3, 3, 1, 3, 4, 0, 1, 3, 0, 1, 1, 3, 2, 2, 3, 0, 0, 1, 0, 0, 4, 3, 4, 2, 0, 3, 3, 1, 0, 1, 3, 3, 4, 1, 1, 4, 0, 2, 1, 1, 2, 4, 2, 4, 3, 1, 1] pubkeycol1279 = [3, 2, 1, 0, 1, 3, 3, 4, 0, 1, 0, 0, 4, 4, 1, 0, 0, 4, 1, 0, 3, 2, 4, 2, 3, 3, 0, 1, 3, 4, 0, 3, 1, 3, 3, 1, 4, 0, 2, 3, 2, 1, 0, 4, 1, 2, 3, 0, 3, 0, 3, 0, 2, 4, 2, 3, 3, 3, 2, 2, 2, 1, 2, 3, 1, 3, 1, 1, 1, 2, 3, 3, 3, 3, 1, 4, 1, 3, 2, 4, 0, 0, 2, 4, 0, 3, 1, 4, 2, 2, 1, 4, 1, 4, 4, 4, 1, 0, 1, 2, 1, 4, 4, 0, 2, 4, 1, 0, 3, 2, 0, 3, 2, 1, 4, 1, 2, 4, 2, 4, 2, 0, 1, 4, 3, 0, 1, 0, 2, 0, 4, 2, 1, 2, 2, 4, 3, 1, 3, 4, 2, 2, 0, 1, 1, 1, 3, 0, 0, 3, 2, 1, 1, 1, 3, 0, 3, 2, 2, 0, 4, 2, 0, 3, 0, 1, 2, 1, 4, 0, 3, 1, 3, 3, 4, 2, 3, 3, 0, 0, 4, 0, 2, 0, 1, 2, 1, 0, 4, 0, 0, 0, 0, 3, 0, 1, 2, 0, 3, 3, 2, 0, 0, 0, 1, 3, 4, 2, 1, 1, 0, 3, 3, 1, 3, 4, 3, 4, 0, 1, 2, 0, 2, 3, 0, 1, 4, 0, 4, 4, 4, 4, 3, 3, 4, 2, 1, 4, 3, 4, 0, 4, 4, 0, 2, 2, 4, 4, 0, 3, 4, 2, 3, 0, 4, 2, 3, 1, 0, 4, 3, 0, 4, 4, 4, 2, 3, 0, 1, 4, 2, 2, 2, 4, 3, 3, 3, 3, 0, 0, 4, 0, 2, 3, 0, 2, 0, 3, 0, 1, 3, 3, 1, 4, 1, 3, 0, 0, 2, 2, 3, 2, 4, 4, 1, 2, 3, 2, 0, 1, 3, 1, 4, 2, 4, 0, 0, 1, 4, 4, 3, 2, 2, 3, 2, 4, 0, 2, 1, 4, 2, 1, 0, 4, 2, 3, 3, 4, 0, 2, 3, 0, 2, 4, 0, 3, 1, 3, 3, 2, 0, 4, 4, 2, 2, 3, 1, 2, 4, 3, 0, 3, 1, 2, 0, 2, 3, 3, 2, 0, 2, 4, 4, 2, 2, 3, 4, 0, 4, 2, 4, 1, 4, 1, 3, 2, 4, 1, 4, 2, 2, 2, 0, 2, 2, 2, 2, 4, 4, 1, 4, 1, 4, 1, 0, 3, 0, 4, 4, 2, 0, 2, 0, 2, 1, 4, 2, 1, 4, 0, 2, 2, 0, 1, 3, 2, 3, 2, 4, 2, 2, 2, 2, 2, 4, 3, 2, 3, 2, 0, 2, 2, 1, 1, 0, 1, 3, 0, 0, 3, 2, 1, 2, 0, 1, 1, 1, 4, 0, 2, 3, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 3, 1, 4] pubkeycol1280 = [0, 4, 4, 4, 1, 4, 1, 4, 1, 3, 2, 1, 1, 1, 4, 0, 4, 3, 2, 0, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 4, 1, 4, 4, 1, 0, 4, 1, 0, 2, 4, 0, 1, 0, 4, 4, 0, 3, 3, 4, 1, 1, 4, 2, 2, 2, 4, 1, 0, 4, 4, 4, 2, 0, 3, 3, 2, 1, 4, 4, 4, 0, 4, 3, 3, 2, 1, 2, 0, 1, 4, 1, 3, 4, 3, 0, 3, 1, 4, 2, 4, 0, 2, 4, 1, 4, 2, 1, 3, 0, 3, 4, 2, 3, 3, 1, 3, 0, 4, 3, 2, 0, 0, 2, 1, 1, 4, 2, 4, 2, 0, 0, 0, 3, 2, 4, 4, 1, 1, 4, 2, 4, 4, 3, 4, 3, 0, 2, 4, 3, 4, 4, 1, 2, 2, 0, 4, 4, 4, 0, 1, 4, 4, 0, 1, 3, 4, 0, 2, 0, 4, 1, 4, 1, 0, 3, 2, 3, 1, 2, 3, 0, 4, 0, 4, 1, 1, 2, 2, 2, 3, 0, 3, 0, 4, 0, 4, 0, 1, 4, 2, 2, 3, 2, 4, 3, 1, 0, 2, 0, 2, 1, 2, 4, 0, 3, 4, 1, 4, 2, 1, 1, 4, 1, 4, 2, 3, 3, 3, 1, 1, 1, 0, 1, 4, 3, 4, 3, 2, 3, 2, 1, 3, 4, 0, 3, 0, 3, 4, 1, 3, 4, 4, 2, 4, 0, 0, 1, 2, 1, 0, 3, 4, 3, 3, 0, 2, 1, 0, 2, 3, 4, 1, 2, 3, 3, 4, 0, 3, 1, 1, 3, 3, 0, 4, 0, 2, 3, 0, 4, 0, 2, 0, 1, 3, 2, 3, 1, 3, 3, 3, 1, 3, 1, 3, 4, 0, 3, 2, 4, 0, 1, 3, 3, 2, 1, 1, 4, 1, 2, 3, 0, 4, 0, 2, 0, 4, 1, 0, 3, 2, 0, 4, 2, 4, 4, 3, 4, 3, 0, 2, 3, 3, 2, 2, 4, 2, 3, 3, 0, 1, 1, 3, 2, 0, 2, 1, 2, 3, 3, 2, 4, 0, 2, 1, 1, 3, 2, 0, 2, 4, 1, 2, 2, 4, 0, 3, 3, 0, 2, 0, 2, 2, 0, 2, 3, 4, 3, 4, 1, 1, 4, 3, 2, 3, 3, 1, 1, 0, 3, 4, 0, 4, 1, 2, 0, 1, 2, 3, 0, 1, 1, 4, 3, 4, 4, 3, 0, 1, 1, 2, 4, 2, 2, 4, 1, 1, 4, 2, 1, 3, 3, 3, 0, 3, 0, 0, 1, 0, 4, 3, 2, 2, 0, 4, 4, 3, 3, 3, 3, 2, 1, 1, 1, 3, 1, 2, 0, 2, 4, 1, 0, 1, 2, 2, 1, 1, 0, 4, 0, 0, 3, 3, 3, 4, 3, 3, 0, 3, 3, 2, 0, 4, 2, 4, 0, 2, 0, 2, 2] pubkeycol1281 = [0, 2, 3, 2, 0, 1, 0, 3, 2, 0, 0, 2, 3, 3, 0, 1, 2, 3, 3, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 0, 3, 0, 0, 4, 2, 2, 0, 3, 2, 2, 4, 0, 1, 2, 3, 0, 2, 2, 3, 3, 1, 0, 2, 1, 4, 2, 1, 1, 1, 2, 4, 0, 1, 1, 3, 4, 0, 4, 0, 1, 1, 4, 2, 1, 2, 0, 4, 1, 4, 3, 3, 3, 1, 2, 1, 0, 4, 0, 4, 2, 3, 0, 3, 2, 2, 3, 4, 1, 4, 2, 4, 3, 2, 0, 2, 0, 4, 2, 0, 1, 1, 1, 1, 1, 3, 1, 3, 0, 4, 0, 4, 4, 1, 2, 4, 2, 2, 1, 3, 3, 4, 2, 2, 0, 1, 1, 3, 2, 0, 1, 2, 2, 3, 1, 0, 4, 1, 1, 4, 4, 0, 1, 2, 0, 4, 1, 2, 4, 2, 3, 2, 4, 2, 0, 4, 1, 3, 1, 4, 2, 1, 4, 2, 1, 0, 0, 2, 3, 0, 1, 4, 4, 1, 0, 2, 1, 3, 4, 4, 1, 0, 1, 3, 4, 0, 2, 3, 1, 4, 3, 0, 1, 3, 2, 3, 3, 2, 0, 2, 4, 4, 2, 0, 3, 3, 4, 4, 0, 1, 4, 1, 3, 3, 3, 1, 0, 3, 4, 2, 3, 0, 4, 2, 0, 3, 1, 1, 1, 1, 3, 3, 4, 1, 4, 2, 3, 0, 3, 4, 3, 2, 3, 4, 4, 3, 0, 4, 4, 4, 4, 2, 3, 2, 3, 0, 2, 3, 4, 0, 0, 4, 3, 1, 2, 2, 4, 3, 1, 4, 2, 1, 2, 0, 2, 2, 1, 4, 1, 1, 4, 1, 3, 3, 0, 2, 3, 2, 2, 0, 2, 3, 1, 4, 2, 4, 3, 0, 3, 1, 2, 1, 4, 4, 2, 2, 1, 2, 2, 1, 4, 2, 0, 4, 1, 3, 2, 0, 3, 1, 3, 3, 1, 3, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 4, 2, 1, 2, 1, 0, 2, 1, 2, 2, 4, 3, 3, 4, 2, 1, 4, 0, 2, 0, 1, 1, 0, 2, 3, 1, 4, 0, 3, 3, 1, 3, 3, 4, 3, 4, 0, 4, 1, 0, 4, 4, 2, 3, 2, 3, 4, 2, 0, 4, 2, 3, 3, 3, 4, 1, 2, 3, 3, 4, 2, 2, 1, 3, 4, 2, 4, 4, 1, 3, 3, 4, 4, 0, 2, 0, 0, 2, 1, 3, 1, 3, 2, 3, 3, 1, 1, 1, 2, 3, 1, 2, 0, 4, 4, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 0, 0, 3, 1, 0, 4, 3, 1, 3, 3, 4, 1, 2, 4, 2, 0, 3, 2, 4, 3, 0, 3, 3, 4, 1, 1, 0, 3, 1, 2] pubkeycol1282 = [0, 0, 0, 0, 2, 2, 4, 4, 0, 3, 2, 0, 3, 4, 3, 3, 1, 4, 3, 0, 3, 0, 4, 2, 3, 3, 1, 1, 0, 3, 1, 4, 1, 4, 0, 4, 1, 3, 1, 4, 1, 1, 0, 4, 2, 0, 3, 3, 3, 0, 2, 1, 4, 3, 4, 3, 1, 3, 3, 3, 4, 2, 4, 4, 3, 4, 0, 1, 0, 3, 1, 1, 2, 1, 4, 1, 2, 2, 0, 0, 1, 3, 0, 4, 1, 1, 3, 4, 1, 2, 3, 1, 1, 1, 0, 3, 2, 3, 3, 0, 1, 3, 1, 3, 0, 1, 3, 3, 4, 2, 4, 3, 2, 0, 1, 3, 0, 2, 3, 1, 1, 3, 2, 3, 0, 2, 2, 2, 4, 4, 2, 1, 0, 0, 1, 3, 0, 0, 0, 3, 0, 2, 0, 0, 3, 2, 3, 4, 2, 2, 3, 0, 3, 4, 1, 0, 4, 0, 0, 1, 1, 4, 1, 3, 4, 2, 2, 4, 0, 2, 1, 2, 0, 0, 0, 4, 2, 3, 1, 4, 1, 3, 2, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 2, 3, 1, 1, 2, 3, 4, 1, 4, 2, 4, 3, 3, 1, 1, 1, 2, 2, 0, 0, 4, 2, 4, 4, 4, 1, 2, 0, 4, 4, 4, 3, 0, 4, 3, 3, 2, 2, 1, 3, 3, 2, 2, 0, 0, 3, 0, 3, 0, 1, 0, 1, 4, 0, 1, 2, 0, 4, 0, 2, 2, 4, 1, 0, 3, 4, 0, 4, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 3, 1, 4, 0, 1, 1, 1, 1, 1, 1, 0, 2, 4, 3, 3, 3, 0, 3, 3, 4, 0, 3, 1, 3, 0, 2, 1, 2, 4, 2, 1, 4, 2, 4, 4, 0, 4, 4, 1, 0, 4, 4, 2, 0, 1, 0, 0, 4, 1, 2, 4, 0, 0, 2, 1, 1, 0, 1, 1, 4, 1, 3, 3, 0, 4, 2, 4, 1, 0, 1, 1, 0, 3, 0, 1, 1, 1, 0, 1, 1, 2, 3, 1, 4, 3, 0, 4, 3, 4, 4, 0, 0, 2, 2, 0, 0, 4, 2, 3, 0, 4, 3, 3, 1, 4, 3, 0, 4, 1, 1, 1, 4, 4, 3, 1, 4, 3, 1, 2, 3, 4, 3, 0, 4, 2, 3, 4, 2, 1, 0, 4, 3, 1, 2, 3, 0, 3, 4, 1, 1, 2, 3, 0, 0, 4, 1, 4, 0, 2, 2, 1, 2, 3, 0, 1, 2, 0, 2, 2, 4, 3, 4, 1, 4, 3, 3, 4, 2, 0, 4, 0, 2, 0, 3, 3, 2, 2, 3, 3, 1, 1, 4, 2, 4, 4, 3, 1, 3, 3, 1, 2, 0, 0, 3, 3, 2, 4, 1, 3, 0, 4, 0, 1, 3, 3, 2, 3, 4, 1] pubkeycol1283 = [3, 2, 3, 3, 1, 1, 3, 2, 1, 2, 1, 1, 0, 2, 4, 1, 4, 3, 3, 1, 0, 3, 1, 3, 2, 4, 4, 1, 0, 3, 1, 1, 2, 4, 4, 1, 3, 2, 4, 0, 1, 1, 0, 2, 1, 1, 0, 3, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 0, 4, 2, 1, 1, 3, 4, 3, 1, 4, 0, 0, 0, 3, 4, 1, 2, 2, 0, 2, 4, 2, 4, 4, 3, 1, 0, 1, 2, 2, 4, 4, 0, 2, 3, 4, 0, 3, 1, 2, 3, 4, 3, 4, 0, 0, 2, 0, 3, 3, 4, 1, 2, 4, 3, 3, 4, 4, 0, 3, 1, 2, 0, 4, 1, 2, 3, 0, 2, 3, 2, 2, 4, 1, 1, 0, 0, 2, 1, 0, 3, 3, 2, 0, 2, 0, 0, 4, 0, 3, 1, 2, 1, 2, 4, 2, 4, 4, 1, 3, 2, 1, 3, 0, 2, 2, 4, 3, 1, 4, 3, 1, 1, 2, 3, 3, 4, 0, 2, 4, 0, 1, 3, 1, 1, 0, 3, 4, 1, 0, 2, 2, 0, 0, 2, 2, 4, 0, 0, 0, 1, 4, 4, 2, 2, 4, 1, 0, 4, 4, 4, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 4, 3, 0, 0, 4, 4, 0, 0, 2, 0, 0, 2, 3, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 3, 1, 1, 3, 4, 0, 1, 1, 3, 1, 4, 3, 4, 3, 2, 3, 1, 2, 4, 0, 0, 3, 1, 1, 0, 1, 2, 3, 0, 2, 0, 4, 2, 0, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 2, 3, 0, 3, 4, 4, 3, 0, 1, 3, 4, 2, 1, 3, 2, 4, 4, 4, 1, 0, 0, 4, 3, 1, 4, 0, 0, 0, 0, 0, 4, 2, 3, 1, 4, 2, 2, 4, 1, 3, 4, 2, 3, 4, 0, 1, 4, 1, 0, 2, 1, 2, 3, 4, 0, 2, 0, 2, 4, 3, 3, 4, 3, 3, 3, 1, 2, 1, 3, 3, 4, 0, 2, 3, 2, 3, 0, 3, 2, 1, 0, 0, 1, 4, 3, 3, 4, 3, 3, 1, 3, 1, 4, 4, 2, 2, 1, 4, 2, 3, 1, 1, 4, 3, 4, 2, 0, 2, 2, 0, 3, 2, 1, 3, 4, 3, 0, 1, 3, 0, 1, 3, 2, 1, 1, 4, 0, 2, 2, 4, 0, 4, 0, 2, 0, 2, 0, 4, 2, 2, 0, 4, 3, 2, 0, 1, 1, 3, 2, 1, 0, 4, 2, 3, 0, 0, 1, 2, 3, 2, 4, 3, 3, 3, 0, 2, 0, 2, 2, 1, 4, 4, 2, 3, 1, 3, 1, 0, 3, 3, 3, 2, 4, 4, 3, 1, 4, 1, 1, 4] pubkeycol1284 = [1, 4, 0, 4, 1, 3, 1, 2, 1, 4, 1, 2, 3, 4, 2, 0, 0, 4, 3, 2, 2, 1, 1, 4, 2, 4, 0, 1, 4, 3, 3, 1, 3, 1, 3, 4, 0, 3, 0, 4, 0, 4, 3, 2, 3, 4, 2, 1, 1, 3, 1, 0, 0, 3, 1, 1, 3, 2, 3, 2, 3, 4, 1, 3, 0, 0, 3, 0, 2, 2, 2, 4, 1, 3, 1, 1, 1, 4, 0, 3, 4, 3, 2, 3, 3, 1, 1, 3, 0, 4, 2, 0, 2, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 3, 3, 4, 3, 4, 2, 4, 4, 1, 2, 4, 1, 3, 3, 3, 0, 1, 3, 1, 0, 1, 4, 0, 0, 1, 0, 0, 1, 0, 2, 1, 3, 4, 2, 0, 3, 2, 1, 4, 3, 1, 1, 4, 4, 1, 4, 0, 3, 4, 3, 0, 3, 2, 0, 1, 2, 3, 4, 0, 3, 2, 1, 4, 3, 2, 2, 3, 0, 4, 4, 4, 3, 1, 3, 2, 0, 3, 3, 2, 2, 0, 3, 1, 2, 2, 0, 3, 3, 1, 4, 0, 1, 0, 3, 1, 1, 4, 0, 4, 2, 3, 2, 1, 1, 1, 4, 0, 0, 0, 2, 0, 2, 1, 1, 3, 3, 0, 3, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 3, 0, 2, 0, 2, 4, 2, 1, 1, 3, 0, 4, 0, 2, 0, 4, 0, 4, 3, 1, 0, 1, 1, 0, 1, 4, 2, 3, 2, 0, 0, 2, 1, 1, 2, 1, 2, 4, 0, 1, 2, 0, 0, 0, 0, 1, 3, 2, 4, 1, 3, 4, 0, 3, 0, 3, 1, 1, 4, 0, 1, 2, 2, 4, 2, 0, 1, 1, 0, 3, 0, 2, 3, 4, 4, 2, 2, 2, 2, 2, 3, 0, 4, 0, 2, 2, 4, 1, 2, 4, 4, 2, 3, 2, 4, 1, 4, 2, 3, 4, 3, 3, 3, 4, 3, 1, 1, 4, 2, 4, 2, 1, 2, 2, 2, 0, 2, 3, 1, 3, 4, 0, 3, 2, 0, 1, 1, 3, 0, 2, 3, 1, 3, 1, 4, 4, 0, 3, 1, 2, 1, 0, 0, 4, 1, 1, 0, 0, 1, 0, 4, 4, 3, 2, 3, 2, 2, 4, 1, 0, 2, 3, 2, 4, 0, 1, 0, 4, 4, 3, 1, 0, 0, 0, 2, 0, 3, 3, 0, 3, 3, 1, 0, 3, 2, 2, 3, 4, 2, 4, 4, 1, 1, 2, 2, 1, 1, 3, 4, 1, 4, 3, 4, 3, 1, 4, 1, 4, 0, 0, 2, 2, 4, 0, 4, 2, 4, 2, 0, 3, 4, 1, 2, 2, 0, 0, 2, 4, 3, 3, 3, 0, 0, 4, 1, 2, 1, 0, 0, 1, 1, 3, 4, 2, 4, 4] pubkeycol1285 = [3, 4, 1, 0, 1, 4, 1, 0, 1, 3, 0, 3, 4, 1, 2, 1, 1, 4, 2, 2, 1, 3, 4, 2, 4, 4, 2, 0, 0, 1, 1, 3, 1, 2, 0, 1, 1, 0, 3, 0, 3, 0, 4, 4, 1, 0, 2, 4, 3, 1, 1, 1, 1, 3, 4, 0, 4, 4, 2, 0, 1, 1, 2, 3, 3, 0, 0, 3, 4, 0, 2, 1, 4, 4, 4, 2, 1, 0, 4, 0, 2, 1, 2, 3, 0, 1, 3, 4, 3, 3, 4, 1, 0, 3, 0, 3, 4, 0, 2, 2, 2, 2, 1, 1, 1, 4, 1, 1, 3, 2, 2, 4, 2, 4, 1, 2, 2, 2, 2, 3, 0, 2, 2, 0, 1, 0, 1, 3, 1, 3, 2, 2, 1, 2, 4, 2, 0, 0, 4, 1, 2, 2, 1, 3, 1, 2, 0, 0, 3, 4, 1, 2, 2, 1, 1, 1, 0, 2, 4, 3, 3, 3, 1, 0, 1, 4, 0, 1, 1, 3, 3, 4, 3, 3, 3, 1, 3, 4, 0, 3, 2, 3, 1, 1, 1, 3, 3, 1, 4, 4, 4, 2, 1, 1, 0, 4, 0, 4, 4, 4, 3, 3, 1, 2, 0, 4, 3, 3, 0, 0, 4, 0, 1, 3, 0, 0, 0, 3, 0, 0, 2, 1, 0, 2, 2, 0, 3, 0, 1, 3, 2, 4, 0, 1, 1, 4, 4, 3, 1, 2, 3, 4, 0, 0, 4, 0, 1, 2, 3, 0, 0, 4, 1, 1, 4, 2, 2, 2, 1, 3, 3, 2, 0, 4, 1, 0, 0, 2, 0, 3, 2, 0, 3, 2, 1, 3, 1, 3, 3, 0, 2, 1, 3, 0, 0, 1, 4, 3, 2, 0, 2, 1, 1, 3, 0, 0, 1, 2, 1, 3, 3, 4, 3, 3, 0, 4, 1, 3, 3, 1, 1, 1, 1, 2, 3, 3, 2, 1, 0, 3, 1, 1, 1, 3, 2, 3, 0, 2, 2, 4, 2, 3, 2, 1, 0, 1, 1, 2, 2, 3, 2, 3, 2, 0, 4, 4, 3, 0, 0, 4, 4, 4, 1, 2, 0, 2, 3, 0, 1, 0, 0, 1, 3, 0, 1, 4, 4, 2, 4, 2, 0, 0, 4, 4, 0, 0, 0, 4, 3, 3, 3, 4, 0, 1, 3, 3, 0, 4, 1, 0, 3, 3, 4, 1, 3, 1, 0, 1, 1, 0, 3, 1, 3, 3, 1, 4, 4, 3, 4, 0, 2, 3, 4, 3, 4, 2, 2, 2, 4, 1, 1, 0, 2, 3, 3, 1, 3, 2, 0, 3, 0, 4, 2, 2, 3, 3, 1, 1, 1, 4, 0, 0, 0, 4, 3, 0, 3, 0, 2, 0, 4, 4, 2, 1, 4, 3, 4, 2, 1, 3, 1, 3, 1, 3, 1, 1, 4, 1, 2, 0, 0, 4, 3, 2, 0, 1, 0, 1, 3, 0] pubkeycol1286 = [1, 1, 2, 1, 0, 4, 4, 3, 0, 4, 0, 1, 1, 2, 0, 4, 1, 0, 0, 0, 3, 0, 2, 1, 1, 1, 4, 4, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 0, 4, 1, 0, 3, 3, 2, 0, 1, 4, 2, 1, 0, 3, 4, 0, 2, 4, 2, 4, 3, 3, 1, 4, 4, 3, 4, 3, 4, 3, 1, 4, 0, 2, 2, 2, 1, 0, 4, 2, 3, 4, 0, 2, 4, 0, 3, 4, 1, 4, 3, 3, 1, 3, 1, 4, 2, 1, 2, 1, 4, 4, 0, 0, 0, 4, 1, 3, 0, 3, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 1, 2, 3, 3, 1, 2, 4, 0, 3, 0, 0, 3, 3, 4, 4, 2, 1, 2, 0, 0, 2, 0, 3, 2, 1, 4, 0, 2, 2, 1, 3, 0, 3, 3, 1, 0, 3, 0, 3, 3, 4, 1, 4, 2, 2, 4, 0, 3, 0, 0, 0, 1, 1, 0, 1, 3, 1, 4, 0, 4, 4, 3, 2, 1, 1, 2, 4, 4, 4, 0, 0, 4, 3, 4, 1, 3, 3, 0, 1, 3, 4, 3, 1, 1, 2, 4, 1, 2, 0, 3, 3, 2, 4, 2, 0, 2, 2, 1, 3, 1, 2, 4, 1, 0, 3, 4, 2, 2, 4, 4, 2, 2, 3, 3, 3, 2, 1, 3, 3, 2, 1, 4, 4, 4, 3, 1, 1, 1, 0, 4, 1, 1, 4, 4, 0, 4, 2, 2, 3, 0, 1, 2, 0, 0, 2, 3, 0, 1, 4, 3, 0, 3, 1, 2, 4, 4, 4, 0, 1, 2, 3, 0, 0, 0, 1, 3, 3, 4, 0, 4, 0, 0, 2, 2, 1, 0, 4, 4, 0, 1, 3, 2, 3, 1, 0, 2, 1, 3, 3, 0, 2, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 3, 4, 0, 1, 0, 1, 1, 1, 4, 4, 2, 4, 2, 4, 0, 0, 2, 2, 1, 2, 0, 1, 3, 0, 0, 2, 4, 0, 1, 0, 2, 0, 1, 2, 1, 4, 1, 3, 1, 3, 1, 2, 4, 1, 4, 0, 3, 4, 3, 0, 2, 1, 1, 1, 0, 3, 1, 0, 4, 0, 3, 2, 2, 1, 4, 3, 0, 2, 4, 2, 0, 2, 3, 0, 4, 1, 1, 2, 1, 1, 4, 1, 3, 3, 1, 0, 1, 1, 1, 3, 4, 1, 3, 0, 4, 0, 1, 3, 1, 3, 4, 4, 4, 3, 3, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 3, 0, 0, 0, 3, 1, 4, 4, 1, 0, 1, 4, 0, 2, 0, 1, 4, 0, 1, 4, 3, 0, 4, 0, 1, 2, 4, 2, 3, 3, 1, 3, 0, 4, 2, 0, 2, 2, 4, 2, 3, 1] pubkeycol1287 = [0, 1, 0, 0, 3, 0, 0, 3, 4, 3, 3, 0, 3, 3, 3, 0, 0, 2, 3, 4, 1, 4, 0, 2, 4, 1, 2, 4, 1, 4, 2, 1, 4, 1, 4, 1, 3, 3, 4, 4, 3, 1, 0, 2, 4, 2, 1, 2, 4, 3, 1, 1, 3, 1, 4, 2, 4, 1, 3, 2, 2, 2, 2, 0, 3, 2, 0, 4, 3, 4, 2, 2, 4, 0, 2, 0, 2, 1, 3, 3, 3, 2, 3, 4, 1, 2, 2, 1, 3, 0, 0, 1, 4, 2, 1, 3, 2, 4, 2, 3, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 3, 1, 4, 2, 0, 3, 2, 4, 2, 4, 1, 4, 0, 3, 3, 2, 1, 2, 0, 2, 3, 0, 3, 3, 3, 3, 2, 1, 1, 4, 4, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 1, 4, 2, 3, 2, 0, 4, 1, 0, 4, 3, 4, 2, 1, 2, 2, 3, 3, 4, 2, 3, 0, 3, 1, 0, 0, 1, 4, 4, 3, 2, 0, 4, 2, 1, 0, 4, 0, 2, 0, 4, 3, 3, 2, 4, 0, 0, 1, 4, 0, 1, 2, 0, 3, 1, 4, 3, 4, 4, 1, 1, 3, 3, 4, 1, 4, 4, 4, 4, 0, 2, 3, 1, 2, 2, 4, 2, 3, 3, 3, 1, 4, 2, 0, 4, 3, 4, 3, 3, 3, 3, 1, 4, 2, 3, 1, 1, 0, 1, 0, 2, 4, 4, 2, 4, 2, 2, 2, 2, 0, 2, 3, 0, 0, 1, 1, 0, 1, 3, 3, 4, 1, 2, 0, 2, 4, 4, 0, 4, 1, 1, 3, 0, 1, 0, 2, 1, 2, 4, 1, 4, 3, 0, 0, 0, 3, 3, 3, 1, 0, 0, 3, 0, 1, 0, 4, 2, 4, 0, 2, 2, 1, 4, 3, 2, 0, 4, 0, 0, 1, 1, 1, 1, 1, 3, 4, 2, 4, 4, 3, 4, 0, 2, 2, 0, 3, 1, 0, 2, 2, 1, 0, 4, 1, 4, 1, 2, 1, 1, 4, 4, 4, 4, 1, 2, 4, 3, 1, 3, 4, 2, 2, 3, 2, 0, 4, 2, 1, 1, 3, 2, 3, 1, 0, 4, 0, 3, 2, 1, 1, 1, 2, 2, 0, 1, 3, 3, 1, 2, 2, 2, 1, 1, 0, 2, 4, 1, 4, 3, 1, 4, 0, 2, 1, 4, 2, 3, 2, 4, 2, 2, 3, 1, 4, 4, 0, 1, 2, 1, 3, 3, 0, 0, 1, 0, 1, 4, 3, 4, 2, 2, 3, 2, 4, 1, 3, 2, 0, 4, 3, 4, 4, 0, 4, 4, 3, 3, 0, 3, 1, 1, 1, 3, 2, 3, 4, 1, 1, 0, 4, 2, 3, 3, 2, 0, 4, 1, 2, 2, 1, 1, 1, 4, 2, 1, 0, 2, 3, 3] pubkeycol1288 = [2, 2, 1, 0, 0, 4, 2, 4, 2, 1, 1, 4, 2, 3, 3, 4, 3, 1, 3, 4, 3, 1, 4, 1, 1, 0, 0, 4, 1, 3, 3, 1, 0, 1, 3, 4, 1, 1, 4, 3, 1, 0, 3, 1, 1, 0, 3, 0, 3, 2, 1, 2, 1, 2, 0, 3, 4, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 3, 1, 0, 0, 3, 4, 2, 1, 2, 4, 3, 4, 0, 4, 4, 2, 0, 2, 3, 4, 2, 3, 4, 3, 3, 1, 2, 3, 0, 3, 2, 3, 3, 0, 1, 2, 4, 4, 3, 4, 0, 3, 3, 0, 2, 2, 0, 2, 3, 2, 2, 1, 1, 4, 4, 4, 4, 4, 2, 2, 4, 2, 3, 2, 4, 1, 0, 2, 3, 2, 1, 1, 0, 1, 4, 3, 1, 0, 1, 0, 2, 4, 4, 1, 0, 1, 2, 1, 3, 1, 4, 3, 1, 3, 3, 0, 4, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 2, 1, 0, 2, 1, 2, 1, 3, 2, 3, 2, 4, 4, 3, 1, 2, 1, 0, 2, 0, 1, 4, 3, 4, 1, 4, 1, 1, 4, 1, 1, 4, 4, 2, 3, 3, 0, 1, 0, 4, 1, 0, 0, 4, 1, 2, 2, 2, 1, 2, 4, 3, 2, 4, 3, 4, 1, 3, 1, 0, 3, 2, 0, 2, 2, 3, 2, 3, 0, 1, 3, 4, 2, 3, 0, 2, 3, 2, 1, 3, 4, 1, 2, 4, 1, 3, 0, 2, 2, 1, 2, 2, 1, 4, 2, 4, 4, 3, 4, 0, 0, 2, 2, 0, 4, 1, 3, 1, 1, 4, 3, 1, 3, 1, 1, 2, 4, 2, 2, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 3, 1, 1, 2, 3, 4, 4, 4, 0, 0, 1, 1, 3, 1, 3, 0, 0, 1, 0, 0, 1, 3, 4, 3, 4, 3, 0, 2, 1, 4, 0, 2, 2, 4, 0, 1, 3, 4, 4, 3, 0, 3, 2, 4, 2, 4, 4, 0, 4, 1, 2, 2, 1, 2, 0, 2, 4, 1, 3, 0, 1, 4, 2, 1, 4, 0, 2, 1, 2, 4, 4, 0, 1, 2, 1, 2, 4, 4, 0, 0, 3, 2, 3, 2, 2, 0, 0, 2, 1, 1, 4, 1, 1, 4, 0, 0, 4, 3, 1, 4, 4, 2, 4, 2, 4, 0, 1, 0, 1, 2, 2, 2, 1, 4, 1, 2, 4, 0, 3, 4, 3, 3, 3, 2, 0, 2, 1, 4, 2, 2, 1, 4, 3, 4, 3, 3, 2, 2, 2, 0, 4, 1, 4, 2, 3, 4, 3, 4, 1, 2, 2, 4, 1, 0, 2, 3, 3, 2, 1, 4, 0, 3, 3, 1, 1, 4, 3, 3, 0, 1, 0, 3, 1, 4, 2] pubkeycol1289 = [3, 2, 4, 4, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 3, 3, 3, 4, 0, 3, 3, 3, 3, 0, 2, 4, 4, 3, 4, 2, 1, 0, 1, 1, 1, 2, 4, 1, 4, 2, 2, 0, 2, 0, 3, 3, 0, 2, 1, 2, 1, 4, 4, 4, 4, 2, 0, 1, 3, 4, 2, 0, 0, 0, 0, 4, 1, 1, 4, 0, 0, 4, 3, 4, 4, 4, 3, 3, 3, 0, 1, 1, 4, 1, 4, 0, 0, 1, 1, 2, 3, 3, 4, 0, 3, 1, 3, 3, 4, 0, 1, 0, 0, 2, 1, 3, 4, 3, 0, 1, 2, 3, 2, 2, 4, 1, 4, 4, 0, 4, 0, 4, 3, 0, 2, 4, 4, 0, 3, 1, 4, 0, 1, 4, 1, 2, 4, 1, 2, 2, 3, 0, 3, 3, 3, 3, 0, 0, 0, 2, 1, 3, 2, 4, 1, 1, 4, 4, 2, 4, 0, 2, 2, 0, 3, 4, 2, 1, 1, 0, 4, 1, 0, 3, 0, 2, 0, 1, 0, 2, 4, 1, 3, 1, 4, 1, 0, 1, 1, 0, 1, 4, 1, 0, 2, 2, 3, 4, 3, 2, 3, 1, 0, 0, 2, 2, 2, 2, 4, 0, 0, 4, 2, 2, 1, 3, 4, 0, 2, 4, 1, 1, 1, 3, 4, 3, 4, 3, 4, 0, 2, 2, 2, 3, 3, 1, 1, 0, 1, 3, 1, 3, 2, 4, 3, 3, 3, 0, 4, 1, 2, 2, 1, 1, 0, 3, 3, 3, 2, 3, 1, 3, 4, 4, 4, 1, 3, 0, 4, 3, 0, 1, 2, 2, 1, 1, 3, 2, 4, 1, 2, 1, 4, 0, 4, 3, 2, 2, 2, 3, 3, 3, 2, 2, 1, 3, 3, 4, 3, 2, 2, 3, 1, 0, 0, 4, 0, 0, 0, 4, 2, 0, 2, 0, 3, 3, 3, 1, 1, 4, 0, 0, 4, 4, 0, 1, 4, 3, 3, 2, 2, 0, 0, 3, 3, 4, 1, 0, 3, 0, 1, 4, 3, 0, 3, 3, 3, 2, 3, 1, 1, 0, 0, 4, 3, 4, 4, 3, 4, 3, 4, 4, 1, 1, 4, 3, 2, 0, 2, 0, 0, 3, 2, 0, 0, 1, 1, 4, 2, 3, 0, 4, 4, 0, 1, 3, 1, 4, 4, 3, 0, 0, 4, 2, 3, 4, 3, 4, 1, 3, 0, 3, 4, 3, 3, 3, 1, 3, 0, 2, 1, 4, 4, 3, 0, 1, 3, 2, 3, 0, 3, 4, 3, 0, 3, 3, 3, 2, 0, 1, 3, 2, 0, 1, 3, 1, 1, 4, 4, 0, 4, 2, 1, 3, 1, 0, 0, 3, 1, 4, 3, 2, 0, 4, 4, 3, 1, 0, 0, 4, 1, 3, 1, 4, 1, 0, 1, 0, 0, 1, 4, 1, 4, 0, 2, 0, 4, 2, 3, 1] pubkeycol1290 = [4, 0, 2, 0, 1, 2, 0, 1, 1, 0, 3, 1, 1, 4, 1, 3, 1, 3, 4, 0, 0, 0, 1, 4, 2, 2, 2, 1, 2, 4, 0, 0, 3, 4, 4, 0, 2, 4, 0, 2, 3, 2, 3, 2, 2, 4, 1, 1, 2, 2, 1, 4, 3, 0, 2, 4, 1, 0, 0, 0, 2, 2, 3, 3, 0, 3, 0, 3, 1, 4, 3, 2, 0, 2, 1, 3, 1, 4, 3, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 2, 2, 3, 1, 2, 3, 3, 2, 3, 3, 0, 4, 4, 0, 4, 3, 2, 1, 1, 2, 0, 4, 1, 1, 3, 3, 0, 2, 3, 0, 4, 0, 4, 2, 1, 4, 2, 3, 2, 2, 0, 4, 3, 4, 2, 1, 4, 0, 1, 4, 0, 0, 3, 2, 3, 2, 3, 0, 2, 0, 2, 0, 3, 3, 4, 4, 2, 1, 4, 4, 4, 0, 2, 0, 1, 4, 3, 3, 0, 3, 3, 1, 0, 3, 1, 2, 2, 1, 2, 4, 1, 2, 3, 3, 0, 2, 1, 4, 3, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 4, 4, 3, 4, 4, 3, 4, 4, 1, 4, 2, 3, 2, 1, 3, 4, 0, 3, 2, 0, 3, 0, 4, 2, 0, 2, 1, 4, 0, 2, 3, 2, 1, 1, 1, 2, 3, 1, 1, 0, 2, 4, 3, 4, 0, 1, 3, 4, 1, 1, 1, 0, 1, 1, 4, 3, 2, 0, 3, 4, 3, 3, 2, 3, 1, 3, 3, 4, 2, 1, 2, 3, 1, 2, 0, 2, 1, 1, 4, 0, 2, 0, 1, 0, 4, 2, 3, 4, 1, 0, 2, 4, 2, 3, 0, 0, 2, 3, 0, 4, 0, 3, 3, 3, 2, 2, 3, 1, 1, 1, 1, 3, 4, 4, 2, 0, 4, 3, 4, 4, 3, 1, 0, 0, 4, 4, 3, 3, 4, 3, 0, 4, 0, 1, 3, 0, 4, 3, 2, 0, 4, 4, 4, 1, 0, 3, 4, 1, 0, 2, 4, 4, 3, 4, 0, 2, 1, 1, 4, 2, 2, 4, 2, 1, 3, 2, 1, 0, 1, 1, 3, 3, 0, 2, 3, 0, 1, 3, 1, 4, 2, 4, 2, 0, 1, 0, 3, 1, 3, 1, 1, 2, 3, 4, 1, 1, 1, 3, 3, 2, 2, 2, 4, 0, 4, 1, 1, 4, 0, 0, 3, 3, 1, 2, 3, 3, 3, 2, 3, 3, 3, 0, 3, 2, 3, 3, 0, 0, 2, 2, 4, 0, 0, 0, 4, 3, 0, 0, 3, 4, 3, 4, 4, 0, 3, 0, 1, 1, 4, 0, 1, 1, 1, 4, 3, 1, 1, 1, 1, 3, 2, 4, 0, 4, 1, 2, 3, 2, 1, 2, 2, 2, 4, 1, 3, 0, 2, 0, 4, 2] pubkeycol1291 = [0, 3, 1, 2, 1, 0, 3, 3, 3, 1, 1, 2, 2, 1, 4, 0, 3, 0, 3, 3, 0, 3, 4, 0, 2, 2, 2, 3, 4, 2, 2, 1, 2, 0, 3, 4, 0, 3, 1, 2, 0, 1, 1, 1, 3, 3, 0, 2, 2, 1, 4, 0, 0, 4, 4, 1, 4, 2, 4, 1, 2, 1, 3, 4, 4, 2, 2, 4, 3, 0, 2, 3, 4, 3, 1, 4, 4, 3, 4, 4, 4, 1, 2, 2, 4, 4, 2, 4, 3, 2, 1, 2, 1, 0, 1, 2, 3, 2, 2, 4, 2, 3, 0, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 4, 4, 4, 2, 2, 3, 2, 3, 0, 3, 1, 3, 0, 0, 2, 4, 1, 3, 1, 2, 4, 1, 2, 4, 4, 2, 1, 4, 1, 2, 1, 2, 2, 3, 3, 0, 4, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 3, 0, 3, 0, 2, 1, 4, 3, 4, 1, 2, 3, 1, 1, 4, 4, 3, 2, 3, 0, 1, 4, 4, 1, 2, 3, 0, 4, 0, 0, 3, 4, 2, 1, 3, 2, 1, 1, 2, 0, 0, 3, 1, 3, 1, 0, 1, 3, 1, 4, 2, 1, 0, 4, 0, 1, 3, 0, 1, 2, 0, 3, 0, 0, 1, 4, 3, 0, 3, 4, 0, 4, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 3, 2, 3, 2, 2, 3, 3, 0, 1, 1, 2, 0, 0, 1, 4, 0, 2, 4, 3, 1, 1, 3, 2, 4, 0, 0, 0, 4, 2, 3, 2, 2, 0, 4, 3, 1, 1, 0, 2, 1, 2, 4, 0, 3, 4, 1, 4, 0, 2, 0, 1, 4, 2, 0, 1, 4, 0, 0, 1, 2, 3, 2, 3, 1, 1, 0, 3, 4, 4, 4, 2, 1, 4, 2, 3, 0, 3, 2, 4, 0, 1, 3, 1, 2, 4, 3, 0, 4, 4, 1, 4, 2, 4, 4, 1, 0, 0, 4, 1, 0, 0, 4, 3, 4, 0, 4, 1, 3, 4, 1, 3, 2, 1, 3, 1, 3, 2, 0, 2, 1, 1, 0, 3, 2, 4, 1, 2, 4, 0, 2, 2, 2, 1, 2, 3, 4, 0, 1, 2, 1, 3, 3, 2, 1, 3, 4, 2, 3, 0, 2, 0, 2, 0, 4, 0, 3, 4, 3, 3, 2, 1, 3, 2, 4, 1, 3, 3, 1, 3, 3, 1, 3, 0, 3, 3, 4, 2, 1, 0, 2, 3, 2, 2, 3, 3, 2, 4, 1, 4, 0, 1, 0, 0, 3, 3, 2, 2, 0, 4, 4, 3, 0, 2, 3, 0, 4, 1, 0, 1, 4, 2, 1, 0, 2, 2, 0, 2, 3, 2, 2, 0, 4, 3, 4, 1, 2, 3, 2, 3, 4, 0, 0, 4, 3, 3, 2] pubkeycol1292 = [0, 3, 0, 2, 4, 0, 3, 3, 1, 3, 2, 4, 0, 2, 1, 1, 3, 4, 1, 0, 3, 1, 0, 2, 3, 3, 3, 3, 4, 4, 0, 0, 0, 2, 0, 3, 3, 4, 0, 2, 3, 1, 0, 4, 0, 3, 3, 4, 3, 2, 4, 1, 4, 0, 1, 1, 1, 4, 3, 2, 3, 4, 2, 4, 1, 2, 0, 2, 4, 3, 3, 0, 3, 1, 3, 4, 1, 4, 3, 2, 4, 0, 3, 4, 2, 0, 2, 3, 4, 0, 4, 4, 2, 1, 1, 2, 0, 4, 1, 4, 3, 2, 4, 1, 3, 2, 3, 2, 1, 4, 1, 0, 2, 1, 2, 2, 4, 2, 4, 0, 2, 4, 4, 2, 0, 4, 2, 2, 1, 0, 3, 3, 1, 4, 0, 4, 0, 1, 3, 3, 0, 4, 2, 3, 3, 2, 1, 1, 3, 3, 0, 3, 1, 4, 4, 2, 4, 4, 1, 1, 0, 1, 1, 4, 2, 3, 4, 2, 1, 1, 0, 1, 3, 1, 0, 3, 0, 2, 0, 2, 1, 2, 3, 0, 0, 0, 4, 0, 3, 3, 3, 2, 1, 4, 4, 2, 4, 3, 0, 4, 0, 0, 3, 1, 3, 4, 4, 1, 1, 2, 1, 3, 1, 4, 0, 3, 3, 4, 2, 2, 0, 3, 4, 0, 4, 4, 4, 2, 0, 4, 0, 3, 1, 4, 2, 2, 3, 2, 2, 3, 3, 1, 2, 1, 0, 2, 3, 4, 1, 0, 4, 1, 3, 3, 1, 1, 0, 3, 1, 2, 1, 0, 4, 4, 0, 0, 0, 2, 0, 3, 4, 4, 3, 1, 1, 1, 0, 0, 2, 4, 0, 1, 4, 1, 0, 0, 4, 2, 3, 2, 3, 4, 2, 2, 2, 3, 2, 1, 3, 2, 4, 3, 3, 3, 0, 4, 4, 0, 3, 3, 0, 1, 4, 0, 1, 4, 3, 2, 3, 1, 2, 4, 0, 3, 2, 0, 3, 1, 1, 4, 4, 2, 1, 4, 0, 3, 4, 0, 3, 1, 3, 4, 1, 3, 1, 3, 3, 0, 4, 0, 0, 1, 3, 4, 1, 4, 0, 2, 2, 1, 0, 3, 3, 2, 3, 4, 1, 1, 4, 1, 0, 1, 4, 1, 1, 2, 4, 0, 2, 2, 2, 4, 4, 1, 3, 2, 3, 0, 3, 3, 2, 4, 0, 2, 2, 3, 3, 0, 3, 0, 4, 1, 2, 1, 3, 4, 3, 0, 4, 4, 0, 3, 4, 1, 4, 4, 3, 3, 0, 4, 3, 4, 3, 2, 1, 3, 0, 4, 0, 2, 4, 3, 0, 3, 4, 0, 1, 1, 0, 1, 4, 3, 4, 1, 4, 2, 3, 0, 3, 2, 0, 2, 3, 3, 4, 0, 1, 2, 2, 4, 4, 3, 4, 0, 1, 1, 4, 4, 3, 3, 3, 3, 2, 4, 4, 4, 1, 3, 1, 1] pubkeycol1293 = [4, 3, 2, 0, 1, 1, 3, 0, 1, 2, 4, 0, 3, 4, 1, 3, 3, 2, 2, 2, 4, 2, 3, 1, 0, 0, 0, 1, 3, 0, 0, 0, 0, 2, 1, 3, 2, 1, 0, 1, 4, 4, 4, 1, 3, 4, 0, 0, 1, 0, 1, 1, 1, 1, 2, 3, 0, 1, 4, 4, 3, 1, 3, 0, 0, 4, 1, 4, 1, 1, 4, 0, 1, 3, 2, 3, 4, 2, 4, 3, 4, 1, 3, 2, 3, 4, 4, 1, 1, 1, 0, 4, 2, 1, 0, 4, 4, 0, 0, 3, 1, 2, 4, 4, 2, 1, 3, 1, 0, 3, 2, 4, 2, 3, 4, 0, 3, 2, 4, 0, 1, 1, 0, 3, 2, 0, 0, 3, 3, 1, 3, 2, 4, 4, 1, 3, 2, 4, 2, 3, 4, 0, 1, 3, 2, 2, 1, 1, 4, 1, 4, 3, 1, 1, 0, 0, 1, 2, 4, 3, 0, 3, 0, 0, 0, 2, 2, 1, 3, 3, 4, 0, 4, 1, 2, 0, 2, 2, 3, 2, 1, 0, 0, 4, 0, 0, 4, 3, 0, 1, 2, 0, 3, 4, 3, 3, 1, 0, 1, 3, 4, 0, 0, 4, 1, 4, 4, 2, 3, 4, 4, 1, 3, 0, 2, 4, 0, 3, 3, 1, 1, 2, 2, 1, 1, 4, 0, 3, 4, 2, 0, 2, 0, 2, 4, 3, 1, 0, 2, 0, 0, 1, 3, 4, 0, 2, 0, 1, 3, 0, 0, 0, 3, 4, 2, 1, 2, 1, 0, 1, 2, 2, 1, 3, 3, 2, 4, 3, 1, 2, 0, 0, 4, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 3, 3, 1, 0, 2, 4, 3, 4, 1, 2, 2, 0, 3, 3, 1, 2, 2, 4, 3, 4, 2, 4, 1, 0, 2, 1, 2, 4, 0, 0, 2, 3, 4, 1, 1, 1, 0, 0, 1, 4, 0, 1, 2, 1, 4, 0, 1, 1, 3, 3, 1, 4, 1, 1, 0, 1, 3, 3, 0, 0, 0, 2, 4, 2, 0, 1, 0, 1, 4, 0, 0, 0, 4, 2, 2, 0, 2, 3, 1, 1, 1, 2, 2, 2, 3, 4, 2, 3, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 1, 2, 2, 2, 2, 4, 1, 3, 4, 0, 4, 3, 2, 1, 2, 2, 3, 2, 1, 4, 0, 2, 2, 0, 2, 1, 1, 3, 4, 0, 4, 1, 1, 0, 2, 3, 2, 2, 0, 1, 3, 0, 4, 0, 4, 4, 4, 1, 2, 4, 2, 3, 3, 3, 1, 2, 2, 4, 0, 2, 4, 1, 3, 4, 2, 1, 0, 2, 2, 0, 2, 1, 4, 0, 1, 2, 4, 4, 3, 2, 4, 1, 0, 3, 1, 2, 3, 1, 2, 2, 3, 3, 3, 3, 0, 0] pubkeycol1294 = [0, 3, 1, 0, 2, 2, 2, 2, 2, 3, 4, 3, 1, 1, 4, 3, 0, 4, 3, 1, 3, 4, 4, 0, 2, 2, 0, 1, 4, 3, 2, 3, 1, 3, 1, 0, 1, 0, 2, 4, 1, 4, 2, 4, 2, 1, 3, 2, 3, 4, 0, 2, 0, 3, 1, 0, 0, 2, 4, 0, 0, 3, 4, 3, 3, 2, 1, 0, 2, 0, 3, 4, 2, 4, 1, 1, 0, 2, 4, 4, 3, 0, 0, 4, 2, 0, 2, 4, 0, 2, 4, 2, 1, 2, 3, 3, 0, 1, 4, 1, 0, 1, 2, 0, 1, 3, 3, 2, 4, 4, 2, 0, 4, 1, 2, 4, 1, 1, 3, 2, 3, 3, 0, 3, 0, 0, 4, 4, 0, 3, 4, 0, 0, 4, 2, 4, 1, 2, 4, 2, 0, 2, 3, 4, 4, 3, 4, 4, 1, 1, 2, 1, 1, 2, 3, 2, 3, 4, 1, 1, 1, 4, 3, 0, 0, 4, 2, 3, 0, 2, 4, 1, 4, 3, 2, 2, 2, 3, 1, 1, 4, 2, 0, 0, 0, 1, 1, 3, 4, 4, 1, 2, 4, 2, 2, 3, 0, 1, 2, 1, 2, 4, 0, 4, 2, 4, 2, 0, 3, 3, 1, 2, 2, 1, 0, 0, 0, 0, 0, 4, 2, 1, 1, 4, 4, 4, 4, 3, 1, 2, 2, 4, 1, 2, 0, 0, 4, 0, 3, 3, 3, 2, 4, 2, 4, 0, 1, 4, 3, 1, 0, 4, 4, 3, 3, 1, 4, 0, 1, 1, 4, 0, 2, 3, 4, 2, 2, 4, 0, 2, 4, 0, 4, 4, 3, 4, 3, 3, 1, 2, 2, 2, 4, 2, 2, 4, 1, 0, 2, 0, 4, 3, 0, 2, 2, 0, 1, 0, 2, 2, 1, 3, 0, 2, 1, 2, 2, 1, 2, 3, 4, 0, 1, 0, 2, 4, 1, 1, 4, 0, 1, 1, 1, 2, 4, 4, 3, 1, 0, 2, 4, 0, 3, 3, 1, 0, 2, 4, 3, 3, 3, 2, 0, 4, 3, 3, 3, 4, 0, 4, 0, 2, 0, 1, 3, 2, 0, 4, 4, 4, 2, 4, 4, 3, 0, 4, 4, 3, 4, 0, 0, 2, 0, 3, 2, 4, 2, 2, 3, 4, 0, 3, 2, 2, 4, 0, 4, 4, 0, 3, 2, 0, 2, 2, 4, 2, 0, 0, 2, 0, 3, 3, 4, 0, 3, 2, 2, 0, 3, 3, 4, 0, 3, 4, 4, 2, 4, 4, 3, 4, 0, 2, 1, 1, 4, 0, 3, 3, 2, 0, 2, 2, 0, 4, 3, 1, 4, 2, 0, 0, 2, 1, 0, 4, 3, 1, 2, 0, 2, 3, 2, 0, 2, 2, 2, 1, 4, 2, 2, 0, 4, 4, 2, 2, 4, 4, 2, 1, 4, 1, 0, 1, 0, 4, 0, 3, 0, 4, 1, 3] pubkeycol1295 = [4, 4, 0, 3, 1, 0, 2, 0, 1, 4, 0, 1, 2, 3, 4, 0, 4, 4, 4, 2, 4, 4, 4, 0, 4, 3, 3, 1, 1, 4, 2, 1, 4, 4, 1, 3, 2, 4, 4, 3, 1, 2, 1, 2, 0, 2, 0, 1, 1, 3, 2, 2, 3, 3, 2, 2, 2, 3, 0, 1, 2, 1, 3, 1, 3, 1, 1, 0, 3, 1, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 3, 1, 4, 1, 4, 3, 1, 1, 3, 1, 4, 1, 2, 0, 2, 2, 0, 0, 1, 4, 4, 3, 4, 0, 2, 3, 2, 1, 2, 0, 1, 2, 0, 4, 1, 0, 4, 4, 1, 3, 4, 4, 4, 2, 2, 4, 1, 2, 1, 0, 2, 4, 1, 1, 1, 4, 4, 0, 1, 2, 4, 3, 0, 1, 0, 2, 2, 3, 0, 2, 0, 1, 3, 1, 1, 3, 3, 3, 0, 4, 2, 0, 0, 0, 0, 4, 1, 3, 3, 0, 2, 2, 0, 3, 1, 3, 0, 3, 4, 2, 2, 2, 1, 3, 4, 2, 2, 0, 0, 2, 0, 4, 1, 1, 0, 3, 2, 2, 4, 0, 3, 2, 0, 2, 4, 2, 2, 3, 0, 3, 3, 1, 0, 1, 3, 1, 4, 4, 2, 3, 1, 4, 1, 0, 1, 2, 3, 4, 1, 2, 3, 2, 3, 4, 0, 1, 0, 3, 0, 2, 3, 3, 3, 3, 4, 4, 1, 2, 4, 1, 4, 1, 3, 0, 3, 0, 1, 4, 3, 3, 0, 0, 0, 1, 0, 4, 1, 3, 1, 1, 1, 4, 2, 3, 4, 1, 0, 0, 4, 0, 3, 3, 0, 0, 2, 3, 4, 3, 4, 4, 0, 2, 3, 0, 3, 2, 1, 3, 1, 0, 2, 3, 0, 4, 4, 3, 2, 4, 4, 1, 2, 4, 2, 1, 3, 1, 4, 2, 1, 0, 3, 2, 0, 4, 2, 3, 3, 4, 3, 2, 4, 3, 1, 0, 3, 1, 0, 3, 4, 3, 2, 1, 4, 4, 1, 0, 1, 1, 3, 1, 0, 2, 2, 1, 2, 0, 1, 4, 3, 2, 2, 2, 0, 1, 2, 4, 1, 4, 1, 3, 2, 2, 3, 0, 2, 0, 3, 2, 2, 1, 4, 2, 1, 4, 4, 3, 0, 1, 2, 3, 2, 3, 1, 3, 3, 4, 0, 4, 2, 3, 4, 4, 4, 2, 1, 2, 1, 4, 3, 1, 2, 1, 4, 3, 0, 3, 0, 3, 3, 4, 3, 3, 0, 2, 1, 2, 3, 2, 4, 3, 4, 1, 2, 4, 4, 1, 2, 4, 0, 2, 0, 2, 4, 3, 1, 3, 0, 2, 1, 4, 2, 2, 2, 3, 2, 4, 3, 4, 4, 4, 1, 1, 3, 0, 1, 0, 3, 3, 0, 4, 2, 1, 2, 0, 3, 3, 3, 4, 4, 4] pubkeycol1296 = [4, 4, 0, 3, 0, 0, 4, 1, 2, 2, 4, 2, 1, 2, 4, 1, 0, 0, 1, 1, 1, 4, 3, 4, 3, 4, 0, 0, 1, 3, 4, 4, 2, 1, 0, 3, 0, 0, 4, 0, 1, 0, 2, 4, 0, 4, 2, 3, 0, 2, 1, 4, 3, 0, 2, 4, 1, 2, 1, 0, 3, 2, 4, 1, 3, 4, 2, 0, 3, 1, 1, 0, 1, 0, 4, 3, 4, 2, 2, 1, 1, 1, 3, 0, 0, 4, 4, 4, 3, 0, 2, 1, 3, 1, 0, 4, 1, 3, 1, 4, 1, 0, 2, 3, 3, 3, 3, 2, 4, 3, 1, 3, 1, 1, 1, 4, 3, 1, 4, 2, 3, 2, 0, 3, 2, 2, 0, 1, 2, 3, 2, 1, 4, 3, 2, 4, 4, 4, 1, 1, 1, 0, 2, 0, 1, 4, 4, 4, 3, 4, 3, 3, 1, 2, 0, 4, 2, 3, 2, 1, 0, 4, 3, 4, 3, 3, 4, 0, 1, 0, 2, 2, 1, 0, 0, 0, 3, 3, 1, 0, 3, 2, 2, 3, 2, 3, 0, 4, 1, 2, 2, 4, 4, 2, 4, 3, 3, 4, 4, 0, 1, 1, 0, 2, 2, 1, 4, 1, 4, 3, 3, 0, 3, 2, 1, 4, 4, 1, 0, 1, 4, 2, 0, 4, 2, 3, 1, 4, 2, 0, 1, 0, 0, 4, 2, 1, 1, 1, 4, 1, 4, 0, 3, 4, 0, 3, 3, 0, 2, 2, 0, 0, 4, 2, 4, 0, 3, 2, 1, 2, 3, 1, 4, 0, 1, 3, 3, 2, 3, 0, 2, 4, 1, 1, 4, 4, 4, 1, 4, 3, 0, 4, 0, 3, 2, 1, 2, 3, 4, 3, 4, 1, 4, 4, 1, 3, 2, 4, 4, 4, 1, 1, 3, 4, 3, 2, 2, 1, 0, 0, 3, 0, 3, 3, 1, 4, 2, 3, 4, 1, 4, 1, 2, 3, 4, 2, 1, 3, 2, 4, 2, 3, 1, 4, 3, 1, 3, 0, 1, 1, 3, 1, 3, 4, 1, 4, 3, 1, 0, 1, 4, 1, 4, 0, 3, 3, 3, 2, 4, 0, 0, 3, 3, 3, 2, 1, 2, 0, 3, 0, 4, 1, 0, 4, 2, 3, 0, 1, 2, 2, 3, 0, 4, 0, 3, 1, 4, 2, 1, 0, 2, 4, 3, 0, 4, 3, 3, 4, 3, 1, 3, 0, 1, 0, 1, 3, 0, 0, 2, 1, 4, 0, 0, 0, 1, 2, 2, 0, 1, 2, 3, 2, 0, 2, 4, 3, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 3, 4, 2, 0, 0, 1, 4, 1, 1, 2, 4, 2, 4, 4, 4, 3, 4, 0, 1, 4, 2, 2, 1, 2, 4, 0, 0, 2, 2, 4, 1, 0, 1, 4, 1, 3, 1, 1, 3, 3, 1, 3, 0] pubkeycol1297 = [3, 2, 3, 2, 3, 4, 3, 1, 4, 0, 2, 2, 2, 1, 3, 1, 1, 4, 1, 4, 4, 4, 4, 4, 0, 1, 2, 2, 4, 2, 0, 2, 4, 3, 1, 1, 2, 0, 3, 2, 0, 4, 2, 3, 0, 1, 1, 1, 3, 2, 1, 0, 1, 1, 3, 1, 1, 0, 4, 0, 3, 4, 4, 2, 2, 1, 1, 0, 4, 0, 0, 4, 1, 4, 2, 0, 2, 1, 2, 4, 1, 2, 0, 0, 1, 0, 4, 2, 3, 0, 3, 2, 4, 1, 0, 1, 0, 4, 4, 3, 4, 3, 4, 2, 2, 1, 1, 0, 2, 3, 1, 2, 4, 1, 1, 2, 0, 3, 4, 3, 2, 0, 0, 2, 4, 3, 1, 0, 1, 1, 3, 3, 0, 4, 4, 3, 3, 4, 1, 1, 4, 3, 1, 0, 2, 1, 1, 4, 1, 0, 4, 3, 1, 2, 3, 0, 4, 2, 0, 4, 3, 0, 4, 3, 0, 3, 1, 0, 1, 0, 0, 4, 3, 2, 4, 3, 4, 1, 4, 0, 0, 4, 3, 1, 2, 4, 4, 1, 2, 4, 0, 2, 3, 0, 2, 0, 2, 0, 1, 3, 4, 1, 4, 4, 2, 2, 3, 1, 2, 1, 2, 0, 3, 4, 4, 4, 1, 1, 4, 2, 4, 2, 0, 3, 3, 4, 0, 3, 2, 3, 0, 0, 3, 0, 0, 2, 0, 2, 4, 1, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 2, 1, 2, 2, 1, 0, 1, 4, 3, 4, 1, 4, 3, 1, 1, 2, 3, 0, 0, 4, 4, 4, 4, 1, 3, 0, 1, 2, 3, 0, 2, 0, 2, 2, 0, 0, 3, 4, 1, 3, 4, 0, 4, 2, 0, 2, 3, 2, 0, 4, 4, 2, 3, 2, 4, 2, 0, 1, 1, 2, 1, 3, 4, 3, 1, 0, 0, 2, 3, 0, 2, 0, 3, 1, 1, 2, 1, 0, 2, 3, 4, 2, 3, 2, 1, 0, 0, 0, 0, 2, 3, 4, 4, 3, 3, 3, 0, 0, 2, 4, 3, 2, 2, 4, 1, 0, 4, 0, 1, 4, 3, 2, 3, 3, 0, 0, 3, 4, 3, 2, 0, 4, 4, 1, 4, 0, 2, 2, 0, 2, 2, 0, 3, 1, 3, 3, 3, 0, 4, 3, 1, 0, 3, 1, 4, 4, 1, 0, 2, 3, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 4, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 3, 4, 3, 3, 4, 1, 3, 3, 2, 1, 0, 4, 3, 4, 2, 0, 4, 0, 3, 2, 0, 0, 1, 1, 4, 4, 4, 2, 2, 1, 4, 2, 4, 2, 3, 2, 2, 2, 3, 3, 4, 3, 2, 0, 1, 4, 3, 4, 1, 2, 3, 3, 3] pubkeycol1298 = [2, 4, 1, 3, 0, 3, 4, 0, 0, 0, 3, 0, 1, 3, 1, 3, 3, 0, 2, 1, 2, 3, 0, 4, 4, 1, 2, 0, 4, 0, 2, 3, 4, 2, 4, 0, 4, 0, 4, 1, 3, 4, 0, 0, 4, 4, 0, 3, 0, 4, 4, 3, 2, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 2, 0, 4, 1, 1, 1, 4, 0, 0, 0, 3, 1, 1, 1, 4, 3, 2, 4, 1, 1, 1, 0, 4, 0, 3, 0, 2, 0, 4, 4, 4, 4, 0, 1, 2, 0, 1, 3, 4, 4, 2, 2, 3, 3, 3, 1, 4, 2, 2, 3, 0, 0, 3, 2, 1, 4, 0, 3, 4, 4, 1, 3, 3, 3, 2, 3, 3, 4, 3, 0, 3, 0, 2, 0, 4, 2, 1, 0, 0, 0, 4, 4, 3, 4, 4, 2, 3, 0, 3, 4, 3, 0, 3, 4, 1, 0, 2, 0, 1, 1, 3, 2, 2, 0, 2, 0, 2, 2, 4, 0, 4, 3, 1, 3, 0, 4, 1, 3, 1, 2, 4, 4, 0, 3, 0, 4, 3, 2, 0, 0, 0, 0, 2, 4, 1, 3, 2, 2, 4, 1, 1, 1, 3, 3, 2, 0, 4, 3, 3, 1, 0, 3, 4, 2, 4, 1, 1, 4, 2, 2, 2, 0, 1, 2, 1, 1, 2, 4, 0, 1, 0, 1, 3, 4, 4, 0, 3, 3, 3, 2, 3, 2, 3, 1, 4, 0, 0, 4, 3, 0, 1, 1, 4, 2, 1, 3, 0, 2, 1, 0, 3, 2, 3, 4, 1, 2, 1, 2, 2, 2, 0, 3, 4, 4, 1, 3, 3, 0, 2, 1, 0, 4, 2, 1, 0, 0, 2, 2, 2, 2, 2, 3, 2, 0, 2, 3, 1, 4, 1, 2, 2, 0, 1, 4, 3, 3, 3, 3, 4, 1, 0, 4, 0, 4, 4, 0, 1, 0, 1, 2, 0, 2, 4, 1, 2, 2, 0, 2, 0, 4, 1, 0, 4, 2, 1, 1, 1, 1, 4, 0, 4, 1, 4, 4, 1, 4, 2, 3, 1, 4, 1, 1, 4, 1, 4, 2, 2, 0, 0, 3, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 4, 4, 2, 2, 1, 4, 0, 3, 3, 2, 4, 2, 4, 0, 2, 3, 1, 3, 3, 2, 1, 3, 0, 4, 3, 0, 3, 1, 2, 1, 3, 2, 1, 1, 1, 3, 0, 1, 0, 2, 4, 4, 0, 1, 0, 3, 0, 4, 0, 2, 0, 0, 0, 3, 0, 4, 4, 2, 1, 2, 1, 4, 4, 3, 2, 0, 0, 3, 0, 3, 0, 1, 0, 4, 4, 3, 3, 2, 1, 4, 3, 0, 4, 2, 0, 4, 1, 1, 0, 2, 2, 4, 2, 4, 4, 0, 1, 2, 0, 1, 4, 4] pubkeycol1299 = [1, 2, 2, 4, 1, 4, 1, 4, 3, 0, 2, 4, 2, 1, 2, 2, 3, 1, 4, 1, 4, 1, 4, 3, 3, 4, 1, 3, 0, 0, 3, 3, 1, 1, 2, 3, 4, 0, 1, 4, 2, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 2, 3, 4, 1, 4, 2, 4, 4, 4, 1, 0, 1, 4, 1, 1, 0, 4, 1, 1, 4, 1, 4, 4, 3, 1, 4, 3, 4, 3, 0, 3, 0, 0, 1, 1, 2, 1, 3, 4, 4, 4, 4, 4, 0, 3, 4, 2, 3, 2, 2, 3, 0, 2, 2, 4, 0, 3, 1, 3, 4, 1, 3, 3, 0, 4, 0, 3, 0, 2, 4, 0, 4, 3, 4, 3, 1, 4, 2, 2, 2, 2, 0, 3, 3, 0, 3, 1, 0, 4, 4, 3, 2, 2, 0, 0, 0, 2, 0, 4, 1, 0, 1, 3, 0, 3, 1, 2, 3, 1, 0, 3, 2, 3, 4, 2, 3, 3, 0, 2, 4, 1, 0, 3, 1, 1, 1, 1, 3, 1, 2, 3, 4, 1, 3, 3, 4, 2, 4, 2, 4, 0, 2, 1, 4, 3, 2, 1, 2, 4, 2, 1, 2, 1, 1, 1, 1, 3, 4, 3, 2, 4, 4, 3, 0, 1, 0, 3, 3, 0, 3, 2, 2, 4, 1, 1, 2, 3, 1, 0, 4, 4, 4, 0, 3, 2, 2, 4, 2, 0, 1, 3, 4, 0, 3, 1, 2, 1, 0, 1, 3, 1, 4, 0, 4, 1, 0, 1, 0, 1, 2, 2, 2, 3, 1, 0, 0, 4, 2, 4, 0, 1, 0, 3, 4, 4, 1, 4, 1, 1, 3, 0, 3, 3, 3, 0, 0, 2, 3, 0, 1, 2, 0, 1, 0, 2, 1, 4, 3, 1, 2, 0, 4, 1, 2, 4, 2, 1, 2, 0, 3, 0, 2, 1, 0, 1, 2, 4, 4, 3, 0, 0, 0, 3, 2, 1, 2, 1, 1, 1, 3, 4, 1, 0, 1, 0, 1, 4, 2, 3, 3, 4, 1, 4, 1, 0, 2, 4, 4, 1, 1, 0, 0, 1, 3, 4, 0, 0, 1, 0, 3, 1, 3, 3, 0, 4, 1, 3, 0, 3, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 1, 4, 4, 3, 4, 2, 0, 4, 1, 2, 2, 2, 1, 1, 0, 1, 4, 2, 0, 2, 2, 1, 4, 0, 1, 2, 4, 3, 3, 2, 1, 3, 0, 4, 1, 2, 3, 2, 4, 2, 1, 1, 2, 2, 3, 4, 3, 3, 3, 2, 3, 0, 0, 1, 0, 4, 1, 2, 1, 3, 2, 4, 3, 2, 1, 0, 0, 3, 4, 4, 2, 0, 2, 2, 4, 0, 3, 0, 3, 4, 4, 4, 4, 2, 2, 4, 1, 2, 3, 1, 1, 0, 3, 0, 3, 0, 3, 1, 2, 1] pubkeycol1300 = [2, 0, 2, 2, 0, 2, 3, 3, 4, 1, 3, 0, 1, 0, 0, 1, 1, 2, 3, 2, 1, 4, 2, 0, 2, 1, 4, 3, 3, 3, 1, 0, 4, 3, 2, 1, 0, 2, 1, 1, 4, 2, 3, 4, 4, 0, 4, 2, 0, 0, 0, 2, 0, 1, 0, 4, 3, 2, 1, 4, 2, 1, 4, 2, 1, 2, 0, 4, 4, 2, 3, 2, 4, 0, 2, 1, 0, 2, 3, 0, 0, 0, 0, 1, 3, 1, 2, 3, 4, 2, 1, 2, 0, 3, 1, 0, 2, 1, 1, 3, 0, 2, 4, 2, 1, 0, 0, 1, 1, 3, 0, 0, 0, 2, 1, 4, 0, 1, 1, 1, 2, 3, 3, 0, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 2, 4, 1, 2, 1, 4, 1, 4, 4, 2, 0, 0, 0, 2, 2, 1, 3, 4, 2, 2, 4, 0, 2, 0, 2, 2, 4, 2, 2, 3, 3, 0, 4, 1, 1, 0, 3, 1, 0, 1, 2, 0, 4, 2, 0, 0, 1, 4, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 3, 4, 3, 4, 1, 2, 0, 4, 3, 4, 1, 1, 4, 1, 0, 0, 0, 4, 4, 2, 0, 4, 4, 4, 0, 3, 2, 4, 1, 2, 1, 1, 2, 1, 3, 2, 4, 1, 4, 0, 2, 2, 0, 2, 0, 4, 2, 1, 0, 0, 0, 4, 3, 2, 2, 4, 1, 4, 0, 0, 0, 2, 3, 0, 3, 2, 2, 4, 3, 4, 4, 4, 2, 0, 0, 4, 2, 1, 1, 4, 4, 1, 1, 0, 1, 4, 2, 2, 2, 0, 2, 3, 2, 1, 1, 1, 4, 2, 3, 1, 4, 2, 2, 2, 0, 4, 3, 4, 4, 1, 4, 0, 3, 0, 3, 1, 3, 3, 0, 0, 4, 4, 1, 4, 0, 1, 0, 3, 4, 3, 2, 0, 4, 1, 4, 1, 1, 4, 3, 4, 1, 0, 0, 3, 1, 0, 4, 2, 4, 4, 4, 1, 4, 0, 4, 2, 3, 1, 3, 4, 4, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 4, 4, 4, 4, 0, 4, 3, 1, 1, 3, 4, 2, 0, 3, 2, 3, 3, 4, 2, 1, 1, 4, 3, 3, 1, 2, 1, 2, 3, 1, 3, 2, 4, 0, 0, 3, 0, 4, 1, 3, 1, 2, 4, 2, 3, 2, 4, 2, 1, 4, 4, 0, 2, 1, 4, 1, 2, 2, 1, 1, 4, 1, 2, 2, 1, 4, 2, 2, 4, 0, 4, 0, 0, 3, 4, 1, 3, 3, 0, 0, 1, 2, 4, 3, 3, 1, 3, 4, 4, 2, 0, 2, 4, 4, 3, 2, 0, 2, 1, 4, 0, 4, 4, 0, 0, 1, 1, 0, 2] pubkeycol1301 = [0, 0, 4, 2, 3, 1, 0, 3, 1, 2, 3, 1, 4, 0, 4, 0, 4, 2, 2, 3, 1, 2, 0, 4, 4, 4, 1, 1, 1, 3, 4, 4, 2, 4, 4, 4, 0, 1, 3, 2, 1, 0, 0, 4, 0, 4, 3, 4, 3, 4, 0, 3, 4, 3, 2, 3, 0, 4, 0, 2, 4, 4, 2, 1, 3, 0, 1, 2, 2, 4, 2, 3, 4, 2, 0, 1, 0, 3, 0, 3, 1, 2, 0, 4, 3, 0, 2, 4, 1, 2, 2, 0, 2, 4, 0, 3, 0, 0, 1, 3, 3, 3, 0, 4, 4, 2, 3, 4, 1, 2, 0, 2, 4, 1, 0, 4, 0, 3, 1, 0, 1, 0, 4, 4, 3, 0, 4, 4, 2, 3, 0, 2, 1, 1, 2, 0, 1, 4, 1, 4, 2, 2, 0, 0, 0, 1, 3, 2, 3, 1, 4, 0, 3, 1, 3, 2, 1, 1, 3, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 4, 3, 1, 1, 2, 4, 0, 4, 0, 1, 4, 4, 0, 3, 3, 0, 1, 3, 0, 2, 2, 3, 4, 4, 2, 4, 1, 4, 4, 4, 4, 1, 3, 0, 4, 0, 4, 1, 4, 1, 0, 3, 1, 3, 3, 4, 2, 4, 3, 2, 0, 0, 4, 0, 4, 1, 0, 2, 4, 3, 3, 3, 0, 2, 0, 0, 4, 1, 0, 2, 1, 2, 3, 0, 4, 4, 2, 2, 2, 2, 1, 1, 4, 1, 2, 3, 1, 3, 2, 3, 1, 2, 4, 1, 0, 3, 1, 2, 0, 1, 3, 4, 4, 2, 4, 2, 4, 1, 4, 2, 1, 2, 1, 3, 3, 4, 0, 2, 4, 4, 1, 3, 1, 4, 0, 0, 4, 0, 2, 2, 0, 0, 4, 2, 4, 2, 3, 3, 0, 4, 4, 4, 0, 2, 0, 3, 1, 0, 1, 3, 3, 2, 3, 1, 1, 1, 0, 4, 1, 0, 0, 0, 1, 0, 2, 1, 1, 4, 1, 3, 0, 3, 3, 1, 0, 1, 1, 3, 3, 0, 2, 2, 4, 0, 2, 2, 1, 1, 2, 4, 0, 1, 1, 1, 2, 3, 4, 3, 3, 4, 3, 0, 3, 0, 2, 3, 1, 4, 3, 3, 3, 2, 2, 4, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 3, 4, 1, 4, 2, 0, 4, 4, 3, 0, 3, 4, 1, 0, 3, 1, 0, 3, 1, 3, 4, 3, 1, 1, 2, 0, 3, 0, 0, 1, 3, 4, 0, 1, 1, 4, 3, 3, 0, 0, 2, 1, 4, 0, 3, 1, 3, 3, 1, 3, 1, 3, 3, 4, 0, 3, 0, 0, 4, 3, 4, 1, 2, 3, 2, 0, 4, 4, 2, 2, 4, 2, 3, 1, 3, 2, 0, 1, 3, 0, 3, 3, 3, 3] pubkeycol1302 = [2, 1, 2, 1, 3, 4, 0, 0, 2, 0, 1, 1, 4, 3, 0, 4, 3, 2, 4, 0, 4, 0, 2, 4, 3, 2, 3, 3, 3, 1, 3, 0, 0, 2, 3, 4, 0, 1, 2, 3, 1, 4, 4, 0, 4, 0, 0, 4, 1, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 3, 4, 2, 3, 3, 4, 0, 1, 2, 3, 0, 2, 2, 0, 3, 4, 1, 3, 0, 1, 0, 4, 4, 3, 3, 2, 4, 4, 3, 1, 2, 1, 3, 0, 4, 2, 3, 0, 3, 1, 3, 3, 1, 1, 4, 4, 3, 4, 4, 0, 3, 2, 3, 3, 2, 3, 3, 3, 1, 0, 1, 1, 0, 3, 4, 0, 0, 0, 2, 4, 0, 0, 2, 2, 2, 2, 0, 2, 4, 1, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 2, 0, 3, 1, 4, 0, 2, 2, 1, 2, 4, 0, 1, 3, 2, 0, 3, 0, 3, 0, 2, 1, 4, 0, 3, 2, 1, 2, 1, 1, 1, 0, 1, 0, 3, 3, 3, 2, 3, 1, 0, 2, 1, 4, 4, 4, 3, 3, 1, 2, 0, 1, 4, 3, 3, 2, 3, 4, 4, 2, 3, 0, 1, 4, 3, 4, 1, 2, 1, 4, 0, 4, 2, 2, 2, 0, 2, 4, 2, 4, 4, 4, 4, 3, 2, 4, 4, 0, 3, 1, 2, 4, 2, 0, 1, 1, 2, 1, 0, 3, 0, 1, 0, 2, 1, 1, 2, 4, 2, 3, 4, 4, 2, 1, 3, 4, 4, 1, 1, 4, 0, 1, 4, 0, 3, 0, 3, 4, 0, 2, 4, 1, 3, 1, 1, 2, 1, 1, 1, 0, 1, 4, 2, 1, 4, 1, 2, 0, 0, 2, 2, 4, 1, 1, 4, 2, 3, 4, 3, 1, 2, 4, 0, 3, 0, 0, 3, 1, 2, 3, 3, 2, 4, 2, 1, 3, 3, 3, 4, 4, 1, 1, 4, 3, 1, 4, 4, 0, 2, 2, 3, 4, 4, 3, 3, 0, 4, 2, 2, 2, 1, 2, 1, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 4, 4, 0, 1, 0, 0, 1, 2, 0, 1, 1, 4, 4, 4, 3, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 4, 0, 0, 2, 4, 0, 1, 4, 3, 3, 0, 0, 1, 2, 1, 3, 0, 3, 2, 4, 2, 1, 0, 4, 4, 3, 0, 0, 3, 0, 4, 4, 2, 1, 3, 3, 1, 1, 4, 0, 0, 0, 1, 3, 2, 4, 2, 0, 4, 2, 2, 2, 3, 1, 3, 3, 1, 4, 3, 1, 1, 0, 0, 3, 0, 3, 4, 4, 0, 2, 4, 3, 3, 4, 2, 0, 2, 0, 1, 1, 0, 4, 2, 2, 2, 1, 1, 2, 1, 3, 0, 3] pubkeycol1303 = [0, 3, 4, 4, 1, 0, 3, 4, 2, 4, 4, 2, 3, 2, 0, 3, 2, 0, 1, 4, 1, 2, 0, 3, 1, 0, 0, 3, 1, 2, 1, 3, 1, 4, 0, 1, 1, 2, 0, 0, 0, 3, 3, 1, 3, 2, 4, 0, 3, 4, 4, 1, 0, 3, 4, 0, 2, 0, 4, 4, 4, 2, 3, 2, 4, 2, 4, 0, 1, 0, 0, 3, 2, 4, 2, 2, 4, 2, 1, 3, 3, 4, 0, 2, 3, 0, 0, 0, 2, 4, 0, 1, 3, 3, 1, 4, 1, 2, 2, 0, 4, 2, 2, 1, 1, 4, 1, 1, 4, 1, 0, 2, 0, 2, 1, 4, 3, 3, 2, 1, 2, 2, 2, 3, 0, 1, 4, 4, 4, 3, 0, 2, 1, 3, 2, 2, 0, 3, 4, 0, 4, 0, 3, 3, 1, 2, 0, 0, 1, 3, 4, 3, 1, 4, 2, 3, 4, 3, 0, 3, 0, 0, 3, 2, 1, 2, 1, 4, 4, 2, 0, 3, 2, 2, 0, 0, 0, 3, 0, 0, 2, 2, 1, 3, 4, 4, 4, 0, 4, 1, 1, 3, 3, 1, 1, 0, 1, 2, 3, 3, 1, 3, 3, 1, 1, 1, 2, 2, 0, 3, 0, 3, 1, 2, 3, 4, 2, 0, 0, 2, 2, 0, 3, 1, 3, 1, 3, 3, 0, 2, 1, 1, 3, 0, 2, 4, 2, 4, 2, 4, 4, 4, 3, 0, 0, 2, 4, 0, 2, 2, 0, 4, 1, 0, 3, 4, 2, 0, 4, 2, 2, 2, 1, 2, 1, 0, 2, 2, 4, 2, 3, 4, 0, 1, 3, 2, 2, 1, 4, 4, 0, 3, 1, 1, 0, 2, 2, 2, 0, 1, 3, 1, 1, 0, 4, 1, 1, 4, 1, 2, 4, 3, 1, 2, 4, 0, 1, 1, 0, 0, 4, 1, 4, 3, 4, 2, 3, 4, 4, 2, 0, 0, 2, 0, 3, 0, 3, 2, 3, 0, 2, 0, 4, 4, 1, 2, 3, 3, 2, 0, 3, 2, 0, 3, 2, 0, 2, 2, 3, 3, 0, 1, 3, 1, 0, 4, 4, 2, 4, 4, 4, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 4, 0, 1, 0, 2, 4, 3, 4, 2, 0, 3, 0, 3, 4, 1, 3, 3, 2, 3, 4, 3, 2, 0, 0, 0, 3, 2, 3, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 3, 3, 2, 0, 2, 4, 2, 4, 2, 3, 3, 0, 3, 2, 4, 4, 2, 4, 4, 3, 2, 1, 4, 3, 1, 3, 2, 1, 4, 1, 4, 1, 1, 3, 3, 4, 1, 4, 2, 0, 0, 2, 0, 0, 0, 4, 0, 0, 1, 0, 4, 3, 4, 2, 2, 2, 1, 2, 2, 0, 2, 3, 4, 4, 1, 3, 3, 1] pubkeycol1304 = [0, 2, 0, 4, 0, 1, 4, 2, 3, 4, 1, 4, 2, 1, 1, 3, 2, 1, 2, 4, 0, 2, 4, 2, 1, 2, 4, 2, 2, 2, 4, 2, 0, 1, 4, 1, 0, 1, 4, 3, 0, 4, 4, 3, 4, 1, 4, 4, 2, 2, 0, 1, 3, 1, 2, 1, 3, 4, 4, 2, 0, 0, 3, 4, 4, 0, 3, 1, 0, 1, 3, 1, 1, 1, 2, 2, 4, 4, 4, 4, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 3, 0, 2, 3, 2, 1, 0, 0, 3, 3, 4, 4, 0, 3, 4, 1, 0, 4, 1, 1, 2, 0, 3, 1, 0, 4, 0, 3, 3, 0, 2, 1, 0, 1, 1, 0, 3, 3, 0, 1, 2, 0, 1, 1, 0, 3, 3, 4, 4, 1, 3, 4, 0, 3, 3, 1, 3, 0, 0, 4, 4, 0, 1, 2, 3, 3, 0, 4, 4, 4, 0, 1, 1, 3, 2, 1, 2, 1, 1, 1, 0, 3, 0, 0, 2, 3, 1, 0, 1, 1, 4, 4, 3, 3, 4, 2, 1, 0, 0, 3, 1, 1, 3, 4, 3, 3, 2, 4, 3, 4, 1, 3, 0, 4, 0, 3, 3, 4, 0, 0, 1, 4, 2, 2, 3, 0, 0, 3, 1, 4, 2, 4, 2, 3, 4, 0, 1, 1, 4, 4, 3, 0, 1, 2, 2, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 2, 1, 1, 4, 1, 0, 2, 0, 1, 0, 0, 4, 2, 4, 1, 0, 4, 4, 4, 0, 2, 1, 0, 2, 1, 0, 3, 3, 0, 4, 4, 1, 0, 1, 0, 3, 3, 0, 4, 0, 3, 3, 3, 3, 3, 3, 1, 0, 2, 1, 0, 0, 3, 2, 2, 1, 3, 0, 1, 3, 0, 1, 1, 1, 0, 2, 0, 0, 3, 0, 2, 4, 1, 4, 2, 0, 3, 3, 4, 3, 4, 1, 0, 4, 1, 3, 3, 2, 2, 3, 2, 0, 2, 4, 2, 0, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 0, 1, 0, 4, 2, 2, 2, 0, 2, 1, 4, 1, 4, 0, 1, 1, 2, 1, 1, 0, 1, 4, 0, 2, 0, 2, 0, 4, 2, 2, 3, 3, 4, 3, 1, 4, 3, 2, 1, 1, 3, 4, 4, 1, 1, 3, 0, 4, 3, 1, 3, 0, 1, 1, 2, 4, 4, 3, 0, 1, 3, 4, 2, 3, 1, 1, 1, 4, 3, 2, 1, 4, 4, 3, 0, 1, 0, 4, 4, 3, 0, 2, 1, 1, 3, 1, 3, 1, 1, 1, 4, 4, 0, 2, 3, 0, 4, 4, 3, 2, 2, 3, 4, 4, 1, 4, 3, 2, 3, 1, 3, 4, 4, 3, 3, 1, 4, 2, 4, 0, 4, 3, 4, 0, 1, 1, 1] pubkeycol1305 = [1, 2, 0, 4, 0, 4, 2, 3, 0, 0, 1, 4, 2, 0, 1, 3, 1, 3, 1, 1, 1, 2, 4, 4, 4, 2, 2, 2, 3, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 3, 4, 1, 1, 4, 0, 4, 4, 0, 3, 0, 4, 1, 2, 4, 3, 1, 2, 1, 4, 4, 0, 4, 0, 2, 1, 1, 4, 4, 4, 4, 1, 3, 0, 3, 1, 3, 3, 3, 4, 1, 0, 0, 2, 3, 3, 4, 2, 1, 4, 1, 1, 4, 4, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 3, 2, 2, 1, 1, 4, 2, 4, 1, 1, 1, 1, 3, 0, 4, 4, 2, 1, 3, 1, 1, 2, 1, 2, 1, 4, 2, 0, 1, 0, 4, 1, 0, 3, 2, 4, 1, 4, 3, 0, 4, 2, 2, 2, 4, 3, 0, 2, 4, 0, 2, 1, 4, 1, 1, 0, 2, 1, 0, 1, 1, 1, 3, 3, 3, 4, 3, 2, 2, 4, 2, 4, 1, 2, 3, 0, 2, 1, 3, 0, 3, 4, 3, 0, 1, 3, 3, 0, 1, 3, 0, 4, 4, 0, 1, 1, 4, 1, 1, 1, 2, 3, 1, 3, 4, 4, 1, 4, 4, 0, 0, 3, 3, 1, 1, 4, 3, 2, 2, 4, 3, 4, 3, 0, 2, 0, 0, 2, 3, 4, 3, 4, 1, 0, 0, 3, 3, 0, 4, 1, 4, 2, 4, 4, 2, 3, 3, 3, 2, 0, 1, 3, 0, 0, 1, 3, 1, 3, 0, 1, 3, 0, 2, 3, 4, 4, 2, 1, 4, 1, 4, 2, 4, 2, 3, 4, 2, 4, 0, 3, 1, 0, 0, 3, 3, 0, 1, 2, 0, 0, 3, 0, 0, 1, 3, 3, 4, 2, 1, 3, 1, 2, 0, 1, 2, 2, 3, 4, 0, 2, 1, 1, 1, 0, 4, 0, 2, 3, 0, 2, 2, 4, 4, 4, 0, 4, 3, 0, 4, 0, 4, 1, 3, 3, 3, 1, 0, 0, 0, 4, 1, 1, 3, 2, 4, 0, 0, 3, 4, 3, 4, 0, 4, 0, 4, 0, 4, 0, 2, 2, 3, 0, 4, 3, 1, 2, 2, 3, 1, 3, 1, 4, 4, 1, 3, 2, 3, 3, 1, 0, 3, 0, 0, 2, 0, 1, 1, 0, 0, 3, 3, 3, 0, 3, 2, 0, 2, 1, 0, 3, 1, 2, 2, 1, 1, 1, 3, 0, 2, 2, 2, 4, 0, 0, 2, 0, 0, 4, 0, 4, 2, 1, 0, 3, 1, 0, 3, 4, 4, 4, 1, 0, 0, 2, 0, 4, 4, 0, 4, 2, 4, 1, 0, 3, 3, 4, 2, 4, 4, 1, 4, 3, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 4, 0, 3, 3, 3, 1, 4, 4, 2, 1] pubkeycol1306 = [1, 0, 1, 3, 1, 2, 1, 1, 2, 1, 4, 4, 1, 1, 3, 1, 3, 4, 2, 4, 3, 3, 1, 4, 1, 2, 1, 2, 3, 4, 0, 2, 4, 3, 4, 1, 3, 2, 1, 2, 0, 3, 4, 1, 1, 2, 4, 3, 2, 2, 0, 2, 1, 3, 1, 0, 0, 0, 4, 4, 0, 3, 4, 2, 3, 1, 3, 4, 2, 2, 3, 1, 3, 3, 4, 0, 4, 3, 2, 0, 1, 4, 2, 2, 4, 0, 0, 1, 4, 3, 3, 0, 0, 2, 3, 3, 0, 1, 1, 4, 1, 1, 3, 2, 3, 0, 4, 0, 0, 2, 4, 3, 4, 4, 2, 1, 1, 1, 0, 0, 4, 3, 2, 2, 3, 3, 2, 1, 0, 1, 1, 2, 4, 0, 0, 3, 1, 3, 4, 1, 4, 3, 4, 1, 0, 1, 4, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 3, 4, 0, 1, 0, 4, 0, 0, 3, 2, 2, 0, 2, 1, 2, 4, 0, 4, 0, 1, 0, 1, 4, 4, 3, 1, 3, 4, 1, 4, 2, 0, 0, 2, 2, 3, 0, 0, 2, 3, 0, 3, 0, 0, 3, 0, 3, 0, 4, 4, 4, 1, 3, 2, 0, 3, 4, 3, 4, 3, 0, 0, 2, 4, 4, 3, 0, 1, 4, 2, 0, 0, 1, 1, 1, 3, 1, 4, 2, 3, 1, 4, 1, 3, 0, 3, 1, 0, 1, 0, 4, 2, 4, 0, 3, 4, 1, 0, 2, 1, 2, 3, 1, 4, 2, 1, 2, 2, 3, 4, 0, 3, 0, 2, 1, 0, 2, 4, 0, 1, 0, 2, 0, 0, 4, 0, 3, 2, 3, 4, 3, 0, 0, 2, 0, 2, 1, 1, 3, 4, 0, 2, 4, 2, 1, 2, 4, 1, 2, 0, 4, 4, 1, 2, 0, 4, 1, 1, 3, 2, 1, 3, 0, 2, 0, 0, 3, 0, 0, 0, 0, 2, 0, 4, 3, 0, 1, 3, 1, 0, 3, 4, 1, 3, 2, 2, 4, 3, 2, 0, 1, 2, 1, 0, 4, 1, 2, 1, 3, 2, 0, 3, 4, 4, 4, 1, 2, 1, 2, 2, 1, 1, 3, 0, 1, 0, 3, 4, 2, 4, 3, 0, 1, 1, 1, 3, 3, 2, 3, 0, 0, 0, 0, 1, 1, 1, 0, 4, 3, 1, 4, 4, 3, 1, 1, 0, 0, 0, 3, 0, 0, 2, 1, 4, 2, 0, 4, 0, 3, 2, 2, 2, 1, 4, 3, 2, 3, 3, 3, 2, 1, 3, 2, 0, 0, 1, 4, 4, 3, 4, 3, 2, 1, 4, 4, 1, 2, 1, 2, 0, 4, 1, 0, 1, 0, 3, 3, 3, 3, 4, 1, 3, 0, 2, 4, 4, 2, 4, 2, 3, 3, 1, 2, 4, 0, 0, 1, 4, 0, 4, 1, 1, 2] pubkeycol1307 = [3, 4, 0, 4, 0, 4, 0, 1, 4, 4, 3, 0, 3, 3, 2, 3, 4, 0, 4, 3, 2, 1, 2, 0, 0, 0, 3, 4, 1, 3, 3, 4, 4, 4, 4, 1, 2, 0, 1, 2, 0, 1, 4, 2, 3, 4, 1, 2, 4, 4, 1, 3, 1, 0, 3, 0, 4, 2, 4, 2, 1, 3, 1, 1, 3, 2, 1, 1, 4, 0, 4, 0, 0, 3, 3, 3, 3, 1, 2, 3, 4, 2, 1, 4, 4, 1, 2, 0, 0, 1, 0, 3, 1, 1, 3, 1, 3, 2, 1, 2, 3, 4, 4, 1, 3, 4, 0, 2, 0, 3, 0, 3, 1, 3, 0, 4, 3, 4, 3, 3, 2, 0, 2, 2, 2, 0, 0, 3, 0, 2, 1, 4, 1, 4, 4, 2, 3, 2, 3, 1, 4, 2, 3, 3, 3, 1, 2, 4, 4, 4, 4, 1, 0, 0, 0, 4, 0, 2, 4, 1, 1, 2, 1, 2, 0, 2, 4, 2, 4, 2, 3, 1, 0, 3, 4, 3, 4, 4, 4, 2, 2, 4, 1, 2, 2, 4, 4, 4, 2, 2, 0, 3, 0, 4, 0, 2, 1, 1, 2, 1, 0, 0, 4, 4, 3, 3, 1, 4, 2, 3, 4, 2, 1, 2, 2, 1, 0, 0, 4, 0, 1, 1, 2, 0, 1, 0, 3, 3, 2, 4, 3, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 4, 2, 4, 3, 3, 2, 4, 1, 4, 3, 0, 2, 2, 1, 0, 0, 3, 0, 0, 1, 0, 0, 0, 4, 3, 4, 1, 3, 3, 1, 0, 0, 4, 1, 2, 4, 3, 1, 2, 2, 4, 2, 0, 4, 4, 1, 4, 2, 3, 2, 2, 3, 2, 1, 0, 4, 2, 4, 0, 2, 4, 1, 3, 2, 3, 4, 2, 1, 3, 2, 0, 3, 1, 0, 0, 1, 0, 1, 0, 0, 4, 4, 4, 0, 4, 4, 2, 1, 0, 3, 1, 3, 4, 1, 4, 3, 2, 0, 4, 1, 3, 4, 3, 1, 0, 4, 4, 3, 3, 0, 2, 3, 4, 4, 3, 4, 0, 2, 2, 3, 4, 4, 1, 3, 1, 3, 4, 1, 2, 4, 1, 1, 3, 1, 2, 1, 3, 2, 0, 2, 0, 2, 1, 2, 0, 4, 4, 2, 1, 4, 3, 0, 1, 0, 4, 2, 1, 2, 1, 2, 0, 1, 3, 4, 0, 4, 0, 0, 2, 3, 0, 3, 4, 3, 2, 2, 1, 2, 3, 3, 1, 2, 0, 2, 0, 0, 4, 0, 1, 0, 0, 0, 2, 0, 3, 1, 2, 1, 2, 4, 0, 4, 2, 0, 4, 2, 2, 2, 3, 1, 4, 4, 2, 1, 2, 4, 1, 0, 4, 0, 4, 2, 1, 1, 1, 0, 4, 2, 4, 4, 1, 3, 1] pubkeycol1308 = [0, 3, 0, 1, 1, 4, 0, 2, 3, 3, 3, 3, 4, 1, 2, 0, 4, 0, 3, 0, 1, 4, 0, 4, 1, 1, 2, 2, 4, 4, 2, 1, 2, 2, 2, 4, 1, 4, 1, 1, 0, 3, 1, 4, 1, 3, 2, 1, 0, 2, 2, 2, 3, 2, 4, 2, 1, 2, 2, 4, 2, 2, 0, 4, 0, 3, 3, 3, 1, 3, 1, 1, 0, 4, 4, 1, 1, 1, 4, 2, 0, 1, 0, 0, 0, 1, 0, 0, 4, 4, 4, 0, 1, 2, 2, 1, 2, 2, 4, 0, 4, 4, 0, 1, 1, 0, 1, 3, 1, 0, 0, 4, 0, 3, 2, 0, 0, 3, 3, 1, 3, 3, 0, 4, 3, 4, 1, 0, 1, 4, 3, 2, 0, 3, 2, 4, 3, 0, 1, 4, 3, 0, 2, 0, 3, 3, 0, 3, 0, 4, 3, 0, 1, 2, 2, 4, 1, 0, 0, 4, 1, 4, 3, 3, 4, 3, 4, 2, 2, 3, 1, 3, 3, 0, 2, 1, 3, 0, 0, 1, 4, 0, 0, 4, 4, 2, 4, 0, 1, 2, 1, 1, 4, 4, 2, 0, 2, 3, 1, 1, 0, 1, 2, 3, 1, 2, 4, 3, 2, 4, 4, 4, 4, 1, 1, 2, 2, 3, 1, 3, 3, 2, 0, 2, 3, 3, 2, 3, 4, 1, 3, 1, 1, 1, 4, 4, 0, 4, 1, 3, 0, 0, 1, 0, 4, 0, 2, 3, 0, 4, 0, 4, 4, 0, 4, 2, 3, 1, 1, 2, 0, 1, 2, 4, 2, 2, 3, 4, 1, 3, 4, 2, 2, 0, 0, 3, 2, 1, 0, 2, 4, 4, 4, 4, 1, 4, 1, 1, 0, 2, 1, 3, 4, 3, 1, 1, 3, 1, 3, 2, 0, 0, 1, 4, 0, 0, 3, 1, 4, 2, 4, 0, 4, 2, 1, 0, 3, 4, 0, 4, 3, 0, 2, 2, 0, 2, 3, 0, 3, 1, 0, 1, 1, 2, 3, 2, 2, 3, 4, 1, 1, 1, 1, 1, 3, 2, 4, 3, 4, 3, 0, 3, 3, 3, 3, 2, 3, 3, 3, 1, 3, 0, 0, 1, 1, 2, 3, 4, 1, 3, 4, 1, 2, 1, 4, 3, 1, 3, 3, 4, 4, 4, 3, 0, 0, 4, 2, 1, 4, 0, 2, 3, 4, 1, 1, 0, 0, 1, 2, 1, 2, 0, 4, 1, 1, 3, 4, 3, 2, 2, 2, 2, 0, 0, 3, 3, 1, 4, 0, 1, 2, 2, 0, 4, 4, 0, 0, 2, 1, 4, 2, 0, 1, 0, 1, 1, 1, 3, 2, 0, 1, 4, 0, 3, 0, 1, 0, 2, 4, 0, 2, 1, 3, 3, 4, 3, 1, 4, 0, 1, 3, 4, 4, 4, 2, 3, 2, 2, 1, 0, 0, 4, 1, 3, 4, 1, 2, 0, 0, 4] pubkeycol1309 = [0, 0, 4, 3, 4, 2, 1, 3, 2, 4, 4, 0, 2, 1, 3, 3, 2, 3, 3, 4, 1, 0, 4, 1, 2, 2, 2, 2, 0, 2, 1, 0, 3, 3, 1, 2, 3, 0, 0, 4, 0, 3, 3, 1, 3, 0, 2, 2, 1, 4, 4, 0, 3, 3, 0, 2, 2, 0, 2, 0, 2, 3, 2, 3, 3, 3, 2, 1, 2, 2, 1, 1, 0, 3, 0, 0, 3, 0, 1, 0, 3, 0, 1, 1, 3, 3, 1, 4, 3, 3, 1, 2, 2, 4, 4, 4, 1, 4, 4, 1, 3, 2, 1, 1, 4, 1, 1, 4, 4, 2, 1, 3, 0, 0, 1, 0, 0, 2, 3, 4, 3, 4, 0, 2, 3, 3, 4, 0, 4, 2, 3, 4, 1, 2, 3, 3, 4, 2, 4, 3, 4, 2, 4, 2, 2, 0, 0, 4, 0, 4, 3, 3, 0, 2, 4, 1, 4, 0, 1, 3, 0, 3, 3, 3, 0, 2, 0, 0, 2, 4, 0, 1, 4, 4, 1, 0, 1, 3, 3, 4, 1, 0, 4, 4, 3, 3, 1, 0, 1, 1, 1, 2, 2, 3, 0, 0, 0, 1, 1, 0, 3, 1, 2, 0, 0, 0, 2, 3, 0, 0, 0, 1, 3, 0, 0, 4, 0, 4, 1, 3, 2, 1, 0, 2, 0, 2, 3, 2, 4, 4, 0, 0, 3, 4, 3, 1, 2, 0, 0, 2, 2, 0, 1, 1, 4, 0, 1, 4, 3, 0, 4, 0, 4, 0, 3, 1, 2, 0, 3, 1, 3, 2, 2, 4, 1, 0, 3, 2, 2, 3, 3, 2, 4, 1, 0, 2, 2, 2, 4, 2, 3, 0, 3, 2, 2, 0, 1, 4, 4, 1, 3, 1, 0, 2, 1, 3, 2, 3, 3, 4, 3, 2, 1, 4, 2, 3, 1, 4, 3, 0, 3, 0, 4, 4, 2, 4, 2, 1, 4, 4, 0, 4, 3, 4, 1, 3, 1, 1, 0, 3, 1, 3, 0, 1, 2, 3, 3, 1, 4, 0, 4, 0, 0, 0, 2, 3, 1, 1, 2, 0, 1, 2, 4, 2, 0, 2, 2, 3, 1, 3, 0, 3, 2, 1, 4, 3, 1, 2, 1, 3, 0, 3, 1, 1, 0, 3, 3, 2, 3, 1, 1, 1, 4, 3, 2, 0, 2, 2, 2, 3, 2, 4, 0, 3, 0, 3, 1, 2, 3, 3, 0, 4, 1, 4, 4, 2, 3, 0, 3, 1, 4, 4, 4, 1, 0, 4, 1, 0, 1, 4, 2, 1, 3, 0, 2, 2, 4, 3, 1, 4, 1, 1, 4, 1, 1, 2, 3, 2, 3, 1, 2, 4, 2, 2, 1, 3, 4, 3, 4, 3, 2, 4, 4, 2, 3, 0, 3, 2, 4, 4, 0, 4, 3, 2, 1, 1, 4, 0, 2, 1, 0, 4, 1, 2, 4, 4, 4, 2, 2, 2] pubkeycol1310 = [3, 3, 2, 3, 4, 4, 4, 1, 4, 3, 2, 3, 3, 1, 4, 1, 2, 0, 4, 0, 1, 1, 3, 4, 1, 2, 1, 0, 3, 1, 1, 0, 2, 1, 3, 3, 2, 1, 0, 2, 1, 3, 4, 1, 1, 2, 4, 2, 0, 4, 1, 2, 2, 0, 3, 3, 2, 2, 4, 1, 4, 3, 0, 1, 1, 2, 1, 1, 4, 4, 4, 0, 2, 0, 2, 0, 3, 3, 3, 4, 2, 0, 1, 2, 1, 2, 1, 4, 2, 0, 1, 3, 4, 3, 4, 3, 0, 4, 0, 2, 0, 2, 0, 4, 3, 4, 3, 1, 4, 2, 3, 1, 0, 0, 2, 2, 0, 1, 3, 0, 4, 0, 2, 4, 4, 4, 4, 1, 3, 4, 0, 2, 4, 3, 0, 4, 1, 2, 0, 1, 4, 0, 1, 4, 3, 0, 1, 4, 1, 4, 4, 0, 1, 3, 0, 0, 1, 2, 0, 3, 1, 4, 3, 4, 3, 0, 2, 0, 0, 3, 3, 0, 3, 1, 1, 1, 0, 1, 3, 0, 3, 4, 2, 2, 0, 0, 2, 3, 4, 0, 3, 2, 1, 1, 4, 2, 2, 3, 1, 2, 0, 3, 0, 4, 4, 1, 1, 3, 3, 1, 2, 3, 3, 0, 4, 3, 3, 2, 1, 2, 1, 4, 4, 0, 0, 3, 0, 3, 4, 1, 4, 2, 0, 0, 4, 2, 0, 0, 3, 4, 3, 3, 0, 4, 0, 1, 2, 3, 0, 4, 4, 2, 1, 2, 2, 0, 1, 4, 0, 3, 1, 0, 4, 4, 2, 0, 2, 2, 1, 2, 4, 0, 3, 2, 2, 1, 3, 2, 2, 1, 3, 3, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 3, 4, 4, 0, 3, 4, 3, 3, 0, 2, 3, 3, 0, 2, 3, 2, 1, 2, 1, 0, 3, 4, 3, 1, 1, 1, 0, 0, 0, 1, 2, 4, 1, 1, 2, 4, 1, 1, 4, 0, 1, 2, 3, 4, 2, 2, 4, 1, 2, 4, 0, 0, 1, 2, 0, 0, 0, 0, 3, 1, 1, 4, 1, 3, 1, 1, 0, 3, 1, 1, 4, 0, 2, 0, 0, 2, 0, 2, 3, 4, 2, 3, 3, 4, 1, 1, 3, 2, 4, 3, 3, 0, 2, 3, 3, 4, 2, 0, 3, 3, 1, 3, 3, 4, 0, 2, 3, 1, 2, 0, 3, 0, 0, 0, 3, 1, 0, 0, 4, 0, 4, 2, 1, 1, 0, 2, 1, 3, 4, 4, 0, 3, 4, 0, 1, 3, 1, 0, 2, 1, 4, 3, 3, 3, 4, 3, 0, 3, 3, 3, 2, 0, 4, 0, 4, 0, 4, 1, 1, 1, 0, 2, 0, 0, 0, 4, 0, 2, 0, 3, 4, 0, 2, 3, 4, 4, 2, 3, 2, 4, 3, 2, 1, 0, 3] pubkeycol1311 = [0, 3, 4, 3, 0, 2, 4, 3, 0, 0, 0, 4, 0, 3, 1, 1, 3, 2, 0, 2, 2, 2, 0, 3, 4, 4, 0, 2, 4, 4, 3, 1, 0, 2, 2, 0, 3, 2, 0, 3, 4, 0, 1, 2, 3, 2, 3, 1, 0, 1, 2, 3, 3, 2, 2, 3, 3, 0, 3, 2, 4, 2, 4, 1, 3, 2, 0, 1, 4, 3, 4, 3, 0, 4, 0, 2, 0, 1, 3, 3, 2, 0, 4, 0, 4, 1, 3, 4, 4, 0, 2, 4, 1, 0, 3, 2, 0, 3, 1, 3, 4, 2, 4, 0, 4, 4, 3, 1, 0, 0, 3, 2, 4, 1, 1, 1, 4, 0, 1, 4, 0, 2, 3, 2, 2, 3, 2, 2, 4, 4, 2, 3, 1, 4, 0, 2, 1, 0, 4, 4, 4, 1, 2, 4, 1, 2, 3, 0, 0, 4, 2, 1, 3, 4, 2, 4, 0, 1, 3, 2, 1, 1, 0, 4, 3, 2, 4, 0, 2, 3, 1, 2, 1, 1, 3, 1, 0, 0, 1, 4, 2, 3, 3, 3, 2, 0, 4, 1, 1, 4, 0, 4, 3, 0, 1, 2, 0, 3, 3, 4, 3, 2, 4, 0, 2, 0, 3, 2, 4, 2, 0, 1, 0, 2, 0, 1, 4, 1, 4, 4, 0, 4, 2, 0, 0, 0, 4, 2, 3, 2, 0, 1, 3, 4, 3, 1, 0, 0, 3, 4, 1, 1, 0, 0, 0, 0, 2, 3, 2, 3, 1, 2, 1, 4, 4, 0, 2, 2, 1, 4, 0, 0, 3, 4, 1, 0, 3, 4, 0, 4, 4, 4, 3, 3, 0, 2, 4, 3, 2, 1, 4, 1, 3, 1, 4, 0, 2, 0, 0, 3, 4, 2, 3, 2, 1, 1, 1, 2, 1, 1, 3, 0, 3, 4, 2, 3, 2, 3, 2, 4, 2, 2, 3, 1, 3, 2, 3, 4, 1, 2, 3, 3, 1, 2, 0, 2, 1, 3, 2, 1, 4, 3, 0, 1, 3, 0, 2, 4, 1, 1, 0, 2, 4, 0, 4, 4, 3, 2, 2, 3, 3, 3, 1, 3, 3, 2, 3, 0, 0, 1, 4, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 4, 3, 4, 2, 0, 3, 4, 4, 4, 2, 4, 1, 0, 4, 1, 0, 0, 1, 3, 0, 4, 2, 4, 2, 2, 1, 0, 2, 0, 3, 3, 0, 4, 2, 3, 2, 0, 2, 4, 1, 2, 3, 0, 4, 3, 1, 0, 0, 0, 2, 2, 3, 0, 4, 1, 2, 3, 0, 2, 2, 4, 4, 4, 3, 3, 4, 2, 0, 1, 4, 3, 2, 4, 3, 3, 0, 4, 3, 3, 4, 4, 1, 4, 4, 3, 3, 3, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 4, 3, 4, 0, 0, 1, 3, 1, 4] pubkeycol1312 = [4, 2, 1, 0, 1, 1, 1, 4, 2, 1, 1, 4, 1, 4, 0, 0, 2, 1, 2, 1, 3, 4, 1, 0, 3, 1, 2, 2, 3, 4, 0, 0, 4, 1, 3, 3, 4, 1, 3, 0, 4, 1, 2, 1, 1, 2, 2, 3, 2, 1, 2, 4, 4, 1, 1, 0, 3, 0, 0, 0, 1, 1, 0, 3, 0, 1, 3, 3, 2, 0, 1, 3, 3, 2, 2, 1, 0, 4, 3, 2, 0, 3, 2, 2, 3, 4, 3, 3, 2, 4, 2, 4, 2, 4, 4, 4, 4, 2, 0, 2, 2, 0, 3, 1, 0, 4, 0, 4, 3, 3, 1, 4, 2, 1, 2, 0, 0, 2, 4, 2, 3, 0, 1, 0, 2, 3, 2, 2, 4, 2, 4, 4, 1, 3, 3, 1, 0, 1, 4, 4, 1, 3, 4, 3, 4, 3, 4, 4, 0, 1, 1, 1, 0, 1, 4, 0, 0, 2, 2, 2, 4, 1, 2, 3, 4, 3, 3, 1, 2, 3, 3, 4, 4, 4, 3, 0, 2, 3, 3, 4, 4, 4, 4, 4, 0, 2, 1, 3, 2, 2, 1, 1, 1, 4, 3, 2, 0, 2, 3, 0, 1, 4, 4, 0, 0, 0, 3, 2, 3, 4, 1, 3, 2, 2, 0, 0, 0, 2, 3, 4, 2, 2, 1, 0, 1, 1, 0, 1, 4, 4, 3, 4, 0, 4, 3, 4, 1, 0, 4, 4, 2, 3, 4, 0, 2, 0, 2, 4, 2, 1, 4, 1, 4, 0, 4, 4, 1, 2, 3, 0, 3, 0, 2, 0, 1, 1, 0, 4, 3, 3, 4, 3, 0, 3, 1, 4, 0, 3, 3, 2, 4, 3, 3, 1, 4, 1, 4, 1, 4, 3, 0, 4, 0, 2, 3, 0, 4, 1, 1, 2, 2, 0, 1, 0, 1, 4, 4, 1, 1, 4, 4, 2, 2, 0, 2, 3, 0, 2, 4, 0, 4, 3, 4, 4, 2, 2, 0, 2, 1, 4, 1, 3, 4, 1, 4, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 3, 1, 2, 0, 3, 3, 2, 4, 3, 0, 2, 4, 0, 0, 0, 0, 1, 4, 3, 0, 0, 0, 2, 4, 4, 2, 1, 3, 3, 2, 4, 1, 0, 2, 3, 2, 1, 2, 2, 2, 0, 2, 4, 4, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 3, 3, 1, 0, 0, 1, 0, 2, 1, 3, 0, 1, 2, 3, 2, 1, 0, 3, 4, 3, 4, 2, 0, 0, 2, 3, 4, 3, 3, 1, 1, 0, 0, 4, 4, 3, 4, 4, 4, 2, 4, 2, 1, 2, 3, 1, 3, 1, 3, 3, 1, 4, 1, 2, 1, 1, 2, 2, 1, 4, 3, 4, 1, 4, 2, 1, 4, 1, 4, 4, 2, 4, 4, 4, 4, 2] pubkeycol1313 = [1, 4, 3, 2, 0, 1, 3, 0, 0, 0, 2, 0, 4, 4, 1, 3, 2, 3, 3, 3, 1, 3, 2, 0, 2, 3, 3, 3, 4, 1, 3, 4, 0, 2, 0, 2, 0, 1, 2, 2, 0, 4, 2, 0, 2, 0, 3, 0, 1, 0, 2, 4, 2, 3, 2, 3, 3, 3, 4, 1, 1, 0, 3, 2, 2, 4, 3, 4, 3, 1, 1, 4, 0, 3, 1, 4, 1, 3, 0, 1, 3, 3, 4, 3, 1, 2, 3, 2, 4, 2, 0, 0, 2, 2, 2, 2, 0, 4, 4, 0, 2, 3, 4, 2, 3, 0, 3, 4, 0, 1, 3, 4, 1, 2, 2, 3, 0, 3, 0, 0, 4, 2, 1, 3, 0, 2, 3, 0, 1, 1, 0, 4, 0, 3, 0, 4, 2, 3, 4, 3, 0, 3, 2, 0, 3, 2, 0, 4, 0, 4, 4, 1, 3, 1, 3, 1, 0, 4, 2, 4, 4, 0, 1, 0, 1, 0, 1, 1, 3, 1, 0, 3, 0, 1, 4, 2, 4, 3, 1, 1, 1, 0, 4, 4, 2, 2, 2, 0, 1, 1, 0, 4, 2, 4, 1, 1, 4, 3, 0, 4, 4, 0, 3, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 0, 2, 0, 4, 2, 4, 3, 3, 1, 0, 1, 3, 3, 0, 4, 0, 2, 1, 3, 0, 1, 0, 1, 1, 2, 4, 3, 0, 0, 0, 3, 4, 2, 2, 2, 0, 2, 3, 3, 1, 2, 1, 4, 3, 2, 1, 3, 4, 0, 3, 4, 0, 2, 4, 0, 1, 3, 2, 0, 2, 2, 2, 3, 2, 4, 1, 2, 1, 2, 0, 3, 2, 3, 0, 3, 4, 3, 0, 2, 3, 4, 0, 1, 4, 2, 4, 4, 4, 3, 4, 2, 0, 2, 4, 0, 2, 2, 3, 2, 4, 3, 4, 3, 1, 2, 4, 0, 0, 1, 2, 4, 0, 2, 0, 4, 3, 0, 3, 2, 3, 1, 0, 4, 0, 2, 2, 3, 2, 0, 4, 4, 2, 2, 4, 0, 3, 0, 0, 4, 2, 3, 2, 4, 0, 3, 1, 4, 4, 4, 2, 0, 4, 3, 2, 3, 1, 1, 3, 4, 0, 0, 3, 0, 3, 0, 1, 3, 3, 0, 1, 4, 1, 0, 1, 4, 0, 4, 3, 2, 2, 1, 2, 1, 1, 2, 2, 0, 4, 0, 2, 2, 4, 3, 3, 3, 3, 2, 3, 2, 3, 3, 2, 0, 2, 3, 4, 4, 3, 4, 1, 0, 2, 0, 2, 4, 1, 0, 1, 4, 3, 4, 3, 0, 1, 0, 4, 0, 1, 1, 3, 3, 2, 4, 1, 2, 4, 4, 1, 1, 1, 1, 0, 4, 2, 3, 1, 2, 2, 3, 4, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 3, 2, 1, 4, 4, 2, 0] pubkeycol1314 = [3, 1, 2, 2, 2, 4, 0, 1, 0, 2, 4, 0, 1, 2, 3, 1, 1, 1, 2, 4, 1, 4, 3, 2, 3, 0, 1, 3, 3, 3, 0, 3, 1, 3, 0, 2, 0, 2, 1, 2, 3, 4, 4, 2, 1, 2, 2, 2, 0, 3, 4, 3, 2, 3, 2, 3, 0, 0, 0, 1, 4, 1, 0, 3, 3, 0, 3, 0, 0, 1, 0, 3, 3, 4, 3, 0, 1, 2, 0, 1, 0, 2, 1, 1, 3, 4, 4, 0, 1, 4, 3, 4, 0, 1, 0, 1, 3, 2, 3, 0, 0, 3, 2, 4, 3, 2, 4, 4, 1, 2, 0, 0, 0, 3, 3, 0, 1, 4, 3, 4, 3, 0, 4, 3, 3, 1, 1, 2, 1, 3, 2, 3, 3, 0, 2, 1, 2, 2, 1, 0, 2, 3, 1, 3, 4, 1, 3, 3, 0, 0, 3, 4, 3, 2, 2, 0, 2, 2, 1, 4, 3, 4, 3, 2, 0, 2, 0, 4, 0, 2, 1, 1, 4, 3, 1, 2, 2, 0, 1, 0, 4, 2, 3, 3, 4, 0, 2, 2, 4, 4, 4, 3, 4, 0, 2, 1, 0, 4, 1, 0, 3, 2, 4, 0, 0, 2, 0, 0, 4, 3, 4, 2, 0, 1, 2, 3, 2, 1, 0, 1, 4, 0, 4, 0, 3, 3, 4, 2, 2, 1, 1, 1, 0, 0, 4, 3, 1, 2, 0, 3, 3, 2, 4, 2, 2, 4, 2, 2, 0, 4, 2, 0, 4, 2, 1, 4, 3, 3, 0, 1, 0, 1, 0, 2, 3, 4, 3, 4, 3, 2, 0, 0, 4, 1, 4, 4, 4, 4, 4, 2, 4, 0, 0, 0, 2, 0, 2, 2, 4, 0, 4, 1, 3, 1, 3, 0, 0, 2, 3, 2, 0, 2, 3, 0, 0, 4, 1, 3, 3, 4, 3, 1, 2, 2, 4, 1, 3, 0, 0, 2, 3, 1, 0, 0, 3, 3, 3, 3, 4, 4, 4, 3, 3, 1, 3, 2, 0, 0, 4, 2, 3, 3, 2, 4, 2, 1, 3, 1, 0, 4, 2, 0, 1, 1, 1, 4, 0, 4, 0, 1, 3, 3, 0, 4, 3, 0, 0, 1, 2, 4, 2, 1, 0, 4, 1, 2, 2, 0, 2, 3, 4, 4, 3, 0, 3, 2, 2, 0, 0, 1, 3, 0, 0, 4, 0, 0, 2, 4, 2, 3, 1, 4, 2, 4, 0, 4, 0, 1, 3, 1, 0, 0, 4, 4, 2, 1, 2, 1, 4, 3, 0, 0, 3, 3, 0, 1, 2, 1, 1, 0, 0, 0, 2, 3, 0, 2, 0, 0, 4, 3, 4, 3, 4, 1, 2, 4, 2, 4, 2, 1, 4, 3, 1, 3, 2, 1, 1, 1, 4, 4, 1, 1, 3, 2, 0, 0, 3, 3, 4, 2, 4, 0, 1, 2, 3, 3, 4, 3, 4, 2] pubkeycol1315 = [4, 3, 2, 4, 1, 4, 2, 0, 3, 3, 2, 1, 3, 4, 3, 0, 4, 1, 2, 2, 0, 3, 3, 2, 3, 4, 4, 1, 3, 3, 3, 1, 0, 1, 4, 4, 4, 4, 2, 2, 1, 3, 0, 3, 3, 4, 0, 2, 2, 4, 2, 0, 3, 1, 1, 2, 1, 2, 3, 2, 2, 0, 3, 3, 3, 1, 4, 2, 2, 0, 3, 0, 3, 0, 4, 1, 3, 4, 3, 2, 4, 4, 0, 1, 3, 3, 1, 2, 4, 4, 1, 0, 2, 0, 4, 1, 3, 1, 0, 3, 4, 1, 4, 2, 1, 3, 4, 4, 4, 2, 1, 2, 4, 2, 4, 1, 4, 4, 0, 3, 2, 3, 0, 0, 3, 3, 2, 0, 3, 2, 3, 2, 0, 0, 1, 4, 4, 2, 1, 4, 4, 0, 0, 2, 1, 1, 3, 0, 1, 2, 3, 1, 2, 3, 1, 4, 3, 4, 1, 0, 3, 0, 3, 4, 4, 2, 2, 4, 0, 3, 2, 1, 4, 4, 0, 1, 3, 3, 2, 2, 3, 4, 2, 1, 2, 2, 1, 1, 2, 3, 0, 3, 4, 2, 0, 2, 1, 3, 1, 2, 4, 4, 1, 3, 1, 2, 4, 3, 4, 4, 1, 0, 3, 2, 2, 4, 4, 1, 0, 2, 1, 1, 2, 3, 1, 1, 3, 1, 3, 4, 3, 3, 1, 4, 2, 4, 4, 3, 3, 1, 1, 4, 2, 2, 2, 2, 4, 0, 3, 1, 3, 2, 3, 3, 1, 1, 1, 0, 1, 0, 3, 1, 0, 3, 2, 3, 3, 2, 2, 3, 3, 4, 2, 4, 0, 0, 3, 2, 1, 4, 4, 3, 4, 3, 1, 1, 2, 4, 4, 0, 3, 0, 2, 0, 2, 3, 0, 4, 1, 1, 3, 3, 0, 4, 0, 4, 0, 0, 0, 2, 0, 3, 0, 0, 3, 0, 3, 3, 2, 4, 2, 2, 1, 2, 1, 2, 0, 2, 4, 4, 3, 2, 4, 2, 2, 1, 4, 4, 3, 1, 2, 0, 0, 4, 1, 0, 0, 2, 0, 4, 4, 4, 4, 4, 4, 0, 3, 0, 2, 3, 3, 3, 1, 1, 2, 3, 0, 1, 1, 1, 0, 3, 3, 0, 3, 0, 3, 3, 0, 2, 1, 2, 0, 1, 2, 4, 4, 3, 1, 0, 0, 4, 2, 2, 2, 2, 4, 3, 2, 4, 0, 4, 2, 4, 1, 2, 0, 1, 4, 3, 3, 4, 3, 3, 4, 0, 2, 4, 0, 1, 1, 0, 1, 4, 4, 4, 1, 4, 1, 1, 4, 1, 4, 2, 1, 0, 1, 4, 1, 4, 4, 4, 3, 0, 1, 4, 4, 4, 0, 3, 0, 1, 0, 1, 2, 3, 3, 0, 0, 0, 3, 1, 2, 3, 0, 0, 4, 1, 0, 1, 3, 2, 1, 1, 2, 2, 0, 2, 2, 3] pubkeycol1316 = [1, 3, 4, 2, 0, 3, 1, 0, 0, 4, 0, 0, 0, 0, 4, 2, 1, 1, 1, 4, 3, 2, 2, 3, 3, 2, 0, 2, 0, 4, 1, 4, 2, 2, 0, 0, 2, 3, 3, 2, 0, 4, 3, 4, 2, 0, 3, 1, 1, 3, 0, 0, 4, 3, 3, 2, 0, 2, 0, 2, 1, 2, 4, 0, 1, 0, 3, 4, 3, 3, 2, 0, 1, 0, 4, 3, 2, 2, 0, 1, 4, 1, 4, 0, 1, 1, 1, 2, 0, 3, 4, 3, 3, 0, 2, 4, 4, 2, 0, 0, 4, 4, 4, 4, 2, 0, 4, 0, 1, 0, 0, 3, 4, 1, 3, 0, 1, 4, 0, 3, 3, 3, 3, 1, 2, 3, 1, 2, 2, 1, 0, 0, 3, 1, 1, 4, 2, 0, 3, 2, 3, 1, 3, 4, 0, 2, 3, 4, 3, 4, 3, 4, 0, 3, 2, 1, 4, 2, 2, 3, 4, 4, 2, 1, 4, 4, 2, 4, 1, 4, 3, 3, 4, 1, 1, 1, 1, 0, 4, 2, 3, 3, 0, 0, 4, 4, 2, 1, 4, 0, 3, 2, 3, 3, 1, 0, 1, 0, 1, 3, 2, 3, 0, 3, 4, 0, 2, 3, 0, 1, 1, 0, 3, 0, 4, 0, 1, 3, 1, 1, 0, 3, 2, 1, 0, 1, 0, 0, 0, 4, 1, 3, 3, 3, 0, 4, 2, 2, 1, 0, 2, 1, 1, 3, 1, 0, 3, 0, 2, 2, 1, 1, 0, 1, 4, 0, 1, 0, 1, 2, 3, 1, 1, 0, 1, 2, 3, 3, 1, 1, 2, 3, 3, 2, 0, 3, 3, 3, 0, 4, 0, 4, 2, 1, 0, 0, 1, 4, 1, 1, 2, 0, 1, 4, 2, 0, 4, 0, 4, 3, 3, 3, 3, 4, 0, 4, 2, 0, 0, 1, 1, 1, 0, 3, 1, 4, 1, 3, 0, 2, 1, 1, 0, 2, 4, 1, 1, 4, 2, 4, 3, 4, 1, 0, 4, 0, 2, 2, 2, 2, 4, 2, 3, 3, 3, 0, 1, 3, 0, 2, 4, 0, 3, 4, 1, 0, 1, 3, 4, 2, 1, 0, 1, 4, 0, 2, 1, 2, 4, 4, 4, 0, 1, 4, 4, 4, 2, 2, 3, 4, 4, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 4, 4, 2, 2, 2, 4, 4, 1, 3, 2, 2, 1, 1, 3, 4, 3, 3, 4, 2, 2, 1, 1, 1, 3, 4, 4, 0, 2, 4, 1, 3, 0, 3, 3, 1, 2, 0, 4, 4, 2, 0, 2, 1, 4, 2, 2, 2, 1, 3, 0, 1, 4, 2, 4, 0, 3, 1, 2, 0, 3, 0, 0, 2, 0, 2, 3, 2, 0, 0, 2, 1, 3, 1, 1, 0, 0, 1, 2, 4, 2, 2, 3, 0, 4, 0, 2, 1, 1] pubkeycol1317 = [4, 2, 1, 0, 4, 1, 0, 4, 0, 4, 1, 0, 3, 3, 4, 4, 0, 2, 0, 2, 4, 1, 0, 4, 0, 3, 0, 1, 1, 4, 1, 4, 2, 4, 0, 3, 3, 1, 3, 3, 1, 1, 3, 2, 2, 2, 0, 0, 2, 4, 0, 1, 3, 3, 4, 4, 3, 2, 3, 3, 4, 2, 1, 3, 4, 0, 0, 0, 0, 0, 0, 2, 3, 4, 0, 3, 0, 0, 0, 3, 0, 3, 0, 1, 0, 3, 0, 1, 2, 2, 2, 1, 4, 0, 4, 3, 4, 2, 4, 4, 1, 1, 4, 2, 0, 2, 1, 3, 1, 3, 0, 1, 4, 4, 3, 1, 0, 1, 1, 0, 1, 3, 1, 1, 3, 4, 4, 2, 2, 4, 0, 2, 3, 0, 1, 0, 0, 4, 1, 1, 1, 0, 1, 2, 1, 4, 3, 3, 1, 3, 0, 2, 1, 3, 1, 1, 0, 4, 0, 4, 3, 0, 2, 4, 0, 3, 2, 4, 3, 0, 2, 3, 4, 0, 3, 3, 2, 4, 0, 0, 1, 3, 3, 0, 1, 0, 3, 1, 2, 3, 4, 4, 1, 1, 0, 0, 3, 0, 1, 2, 2, 0, 0, 1, 4, 2, 3, 4, 4, 3, 1, 4, 1, 0, 4, 0, 2, 4, 1, 2, 0, 4, 0, 3, 1, 2, 1, 1, 3, 0, 2, 1, 0, 0, 3, 3, 0, 2, 0, 3, 4, 3, 1, 2, 1, 3, 3, 1, 0, 4, 0, 2, 1, 2, 3, 4, 3, 3, 2, 0, 2, 0, 0, 4, 3, 3, 2, 3, 3, 2, 2, 0, 0, 0, 1, 0, 3, 4, 1, 0, 1, 3, 0, 3, 3, 1, 3, 0, 4, 4, 4, 1, 0, 4, 1, 1, 0, 1, 3, 4, 3, 1, 2, 3, 2, 3, 0, 3, 1, 3, 3, 3, 4, 2, 1, 4, 2, 4, 4, 1, 2, 0, 4, 1, 0, 0, 2, 3, 0, 0, 0, 4, 3, 0, 0, 3, 2, 0, 1, 1, 2, 4, 0, 4, 2, 1, 4, 0, 0, 0, 2, 3, 4, 2, 1, 0, 3, 1, 4, 1, 1, 3, 4, 3, 2, 3, 2, 1, 2, 1, 1, 1, 2, 4, 3, 1, 3, 2, 4, 4, 2, 2, 4, 2, 1, 3, 3, 1, 2, 1, 4, 4, 3, 3, 0, 2, 1, 2, 3, 2, 3, 3, 4, 1, 0, 3, 0, 1, 3, 3, 1, 1, 0, 4, 3, 2, 3, 0, 4, 1, 2, 0, 2, 0, 4, 0, 1, 3, 1, 1, 1, 3, 1, 3, 1, 3, 1, 1, 3, 2, 3, 0, 1, 2, 0, 0, 4, 2, 4, 2, 0, 4, 2, 3, 4, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 0, 3, 2, 0] pubkeycol1318 = [3, 2, 3, 4, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 4, 0, 1, 4, 4, 1, 2, 4, 0, 0, 3, 2, 2, 2, 2, 4, 1, 2, 1, 0, 2, 4, 4, 3, 0, 3, 1, 1, 1, 0, 3, 3, 1, 2, 2, 4, 1, 3, 2, 1, 3, 1, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 3, 0, 0, 1, 0, 1, 0, 0, 3, 2, 4, 0, 3, 2, 0, 3, 0, 3, 0, 2, 2, 0, 0, 2, 1, 4, 1, 0, 0, 2, 1, 3, 4, 0, 1, 1, 4, 2, 0, 1, 0, 2, 4, 0, 3, 3, 0, 0, 3, 2, 3, 4, 3, 1, 3, 0, 0, 0, 4, 4, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 3, 2, 0, 1, 3, 4, 4, 0, 4, 3, 1, 4, 4, 4, 0, 3, 3, 2, 4, 1, 4, 3, 4, 3, 4, 0, 0, 4, 1, 3, 3, 2, 4, 2, 0, 1, 4, 0, 4, 0, 4, 2, 3, 2, 2, 4, 2, 3, 4, 3, 0, 2, 1, 3, 4, 4, 3, 0, 3, 4, 3, 2, 2, 1, 0, 0, 0, 1, 4, 4, 0, 3, 0, 3, 4, 4, 2, 0, 4, 1, 4, 0, 4, 2, 0, 3, 0, 1, 4, 3, 4, 1, 0, 4, 1, 4, 0, 4, 1, 3, 2, 1, 3, 1, 1, 3, 0, 1, 4, 4, 3, 1, 1, 0, 3, 1, 4, 0, 2, 4, 1, 4, 0, 2, 2, 0, 3, 0, 4, 1, 3, 0, 4, 3, 2, 1, 3, 0, 4, 4, 4, 0, 3, 1, 1, 2, 4, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 4, 4, 1, 3, 1, 1, 2, 1, 1, 2, 4, 4, 1, 3, 0, 0, 1, 2, 1, 1, 3, 3, 1, 1, 3, 1, 4, 3, 0, 2, 0, 1, 1, 1, 2, 4, 0, 2, 3, 2, 3, 4, 2, 2, 3, 3, 2, 1, 3, 4, 3, 2, 1, 3, 4, 1, 4, 2, 4, 3, 4, 3, 4, 2, 1, 4, 0, 2, 0, 1, 4, 2, 4, 1, 1, 4, 4, 1, 4, 4, 0, 2, 1, 1, 1, 0, 4, 0, 3, 0, 1, 0, 0, 4, 4, 3, 0, 4, 3, 0, 2, 0, 2, 4, 1, 2, 2, 3, 4, 0, 4, 3, 1, 1, 1, 4, 1, 2, 1, 3, 2, 0, 3, 0, 4, 0, 3, 0, 2, 1, 2, 4, 2, 1, 0, 1, 1, 1, 4, 2, 0, 0, 2, 0, 2, 1, 3, 3, 4, 4, 3, 0, 0, 0, 3, 0, 3, 0, 1, 3, 3, 4, 3, 1, 1, 0, 1, 4, 1, 4, 3, 0, 4, 0, 4, 0, 3, 3, 2, 2, 2] pubkeycol1319 = [3, 4, 4, 3, 2, 2, 0, 3, 3, 0, 1, 1, 0, 3, 3, 4, 2, 0, 2, 1, 4, 4, 1, 4, 0, 0, 1, 3, 0, 2, 2, 0, 3, 4, 0, 2, 4, 0, 1, 4, 0, 0, 0, 2, 2, 0, 2, 0, 4, 2, 2, 2, 3, 4, 4, 1, 2, 0, 4, 0, 1, 3, 4, 0, 2, 4, 2, 2, 1, 4, 4, 0, 0, 3, 1, 2, 2, 4, 0, 1, 2, 3, 1, 0, 3, 0, 4, 3, 4, 0, 3, 4, 0, 4, 3, 3, 2, 3, 2, 3, 4, 2, 0, 3, 4, 2, 3, 3, 3, 1, 3, 3, 2, 3, 0, 4, 2, 0, 2, 4, 0, 3, 0, 0, 3, 2, 4, 0, 0, 4, 0, 4, 2, 1, 4, 1, 1, 3, 0, 3, 0, 4, 1, 0, 2, 1, 3, 4, 3, 2, 1, 1, 0, 1, 3, 3, 0, 2, 1, 1, 4, 0, 3, 2, 0, 2, 4, 4, 2, 4, 4, 4, 1, 3, 1, 2, 3, 0, 1, 2, 0, 2, 2, 4, 1, 1, 0, 1, 4, 4, 0, 2, 4, 2, 3, 1, 1, 2, 0, 2, 3, 4, 1, 2, 4, 0, 2, 4, 3, 1, 2, 0, 1, 3, 1, 2, 1, 2, 2, 3, 1, 1, 0, 0, 4, 1, 0, 2, 1, 4, 1, 2, 4, 3, 2, 3, 0, 0, 1, 3, 2, 0, 4, 2, 4, 3, 0, 1, 4, 2, 3, 2, 1, 0, 2, 0, 3, 1, 0, 0, 4, 3, 1, 3, 0, 0, 0, 1, 0, 3, 2, 3, 1, 0, 2, 3, 1, 3, 2, 3, 2, 3, 1, 4, 0, 1, 0, 3, 2, 4, 1, 1, 0, 3, 3, 2, 4, 4, 2, 4, 2, 0, 0, 0, 2, 2, 2, 3, 4, 2, 3, 2, 2, 1, 4, 3, 0, 1, 2, 2, 0, 4, 4, 0, 3, 3, 0, 2, 3, 2, 2, 4, 1, 3, 0, 4, 2, 1, 1, 2, 3, 3, 1, 4, 0, 1, 0, 2, 2, 4, 4, 2, 2, 2, 1, 0, 1, 3, 0, 2, 2, 3, 4, 4, 2, 3, 3, 3, 3, 4, 0, 4, 0, 0, 4, 1, 1, 4, 2, 0, 0, 0, 0, 1, 3, 4, 0, 0, 3, 1, 3, 2, 2, 2, 4, 0, 0, 1, 4, 1, 4, 4, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 3, 3, 0, 0, 1, 2, 2, 0, 0, 0, 2, 4, 0, 3, 4, 0, 0, 3, 3, 3, 1, 4, 4, 1, 3, 2, 1, 2, 2, 3, 0, 1, 4, 0, 1, 4, 1, 0, 0, 2, 3, 1, 3, 1, 3, 3, 0, 0, 1, 4, 1, 2, 1, 4, 1, 4, 1, 4, 4, 0, 0, 0, 0, 3, 1, 2, 2, 1] pubkeycol1320 = [2, 1, 3, 1, 4, 2, 2, 0, 3, 1, 2, 4, 2, 0, 0, 4, 4, 4, 0, 1, 3, 0, 2, 2, 1, 3, 2, 1, 1, 3, 3, 1, 0, 0, 4, 1, 0, 2, 1, 0, 1, 4, 1, 0, 1, 3, 0, 3, 4, 4, 0, 2, 3, 3, 2, 4, 2, 4, 0, 0, 2, 4, 0, 3, 0, 3, 2, 2, 3, 0, 2, 4, 1, 1, 0, 2, 1, 3, 4, 4, 2, 3, 3, 0, 4, 4, 1, 0, 4, 1, 0, 0, 1, 4, 1, 2, 2, 0, 4, 2, 1, 0, 4, 0, 0, 3, 2, 2, 2, 1, 0, 1, 4, 1, 1, 1, 4, 3, 4, 1, 3, 0, 4, 3, 2, 3, 2, 0, 4, 1, 1, 3, 0, 3, 3, 2, 0, 4, 4, 4, 4, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 3, 2, 1, 0, 4, 0, 1, 3, 4, 4, 1, 3, 2, 4, 0, 0, 4, 3, 4, 0, 2, 2, 3, 3, 2, 0, 4, 4, 3, 0, 0, 2, 2, 0, 0, 4, 2, 3, 1, 2, 3, 1, 4, 0, 1, 2, 4, 4, 0, 3, 4, 3, 2, 3, 3, 2, 4, 0, 2, 4, 0, 0, 0, 3, 4, 2, 0, 2, 1, 4, 2, 1, 2, 3, 0, 2, 2, 2, 3, 4, 4, 1, 0, 1, 3, 0, 0, 1, 3, 2, 4, 4, 3, 4, 2, 3, 0, 4, 3, 0, 0, 0, 3, 2, 0, 2, 2, 2, 0, 1, 0, 0, 4, 4, 3, 0, 2, 0, 1, 1, 1, 3, 4, 2, 3, 0, 3, 3, 4, 2, 3, 2, 4, 4, 2, 1, 2, 4, 2, 1, 1, 2, 3, 2, 4, 1, 0, 0, 0, 2, 4, 4, 1, 0, 4, 0, 4, 0, 0, 1, 3, 2, 4, 0, 2, 0, 1, 3, 2, 1, 3, 0, 1, 3, 1, 0, 1, 2, 4, 1, 3, 4, 3, 4, 0, 2, 2, 4, 0, 3, 1, 2, 2, 3, 2, 4, 3, 0, 4, 2, 0, 2, 0, 1, 4, 0, 4, 0, 1, 3, 0, 3, 3, 3, 0, 0, 1, 4, 2, 4, 3, 1, 3, 0, 0, 2, 1, 4, 2, 3, 2, 4, 2, 3, 4, 4, 3, 4, 1, 2, 1, 1, 4, 4, 2, 2, 2, 4, 0, 3, 1, 0, 0, 2, 2, 4, 2, 0, 1, 2, 4, 0, 3, 4, 2, 0, 1, 2, 0, 4, 4, 1, 1, 4, 0, 3, 3, 3, 3, 2, 4, 4, 1, 1, 2, 2, 2, 3, 0, 2, 1, 1, 2, 4, 0, 0, 1, 0, 3, 2, 4, 1, 2, 4, 0, 4, 1, 3, 1, 1, 1, 4, 0, 2, 4, 2, 3, 2, 4, 2, 0, 2, 3, 3, 0, 0, 0, 4, 3] pubkeycol1321 = [2, 1, 3, 2, 3, 3, 0, 3, 2, 0, 1, 4, 1, 2, 1, 0, 3, 4, 0, 1, 2, 3, 4, 2, 0, 2, 3, 2, 1, 4, 3, 1, 4, 4, 0, 3, 3, 1, 0, 2, 4, 3, 2, 3, 3, 1, 4, 4, 1, 0, 0, 4, 4, 3, 3, 4, 3, 1, 4, 3, 3, 3, 2, 1, 1, 4, 0, 1, 0, 0, 4, 3, 1, 2, 4, 3, 3, 4, 1, 4, 0, 4, 1, 2, 1, 1, 0, 2, 4, 0, 2, 0, 4, 0, 2, 2, 4, 0, 1, 0, 4, 3, 0, 0, 0, 3, 1, 2, 3, 2, 4, 1, 2, 3, 0, 1, 3, 0, 0, 3, 3, 1, 3, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 3, 1, 3, 4, 3, 1, 3, 3, 4, 2, 1, 3, 0, 1, 2, 2, 4, 1, 4, 1, 1, 4, 1, 0, 3, 2, 3, 3, 4, 2, 0, 4, 3, 3, 2, 4, 2, 1, 3, 1, 4, 1, 3, 2, 1, 4, 0, 2, 0, 1, 1, 1, 3, 2, 4, 3, 2, 1, 2, 4, 3, 1, 1, 3, 0, 3, 0, 1, 1, 0, 0, 4, 2, 2, 3, 4, 4, 1, 2, 4, 4, 2, 2, 3, 3, 2, 2, 4, 3, 1, 4, 3, 1, 0, 2, 0, 3, 3, 2, 3, 0, 2, 3, 1, 4, 4, 1, 2, 0, 2, 3, 3, 2, 0, 0, 3, 2, 1, 1, 3, 4, 1, 2, 0, 3, 4, 4, 1, 2, 3, 1, 4, 1, 1, 4, 3, 1, 2, 2, 0, 2, 2, 1, 0, 4, 0, 0, 3, 1, 1, 2, 1, 1, 1, 4, 2, 2, 3, 1, 4, 3, 4, 2, 0, 1, 2, 3, 2, 4, 3, 3, 2, 2, 1, 1, 2, 0, 4, 0, 4, 4, 3, 1, 0, 4, 4, 2, 1, 3, 3, 2, 0, 3, 2, 1, 0, 3, 4, 1, 2, 4, 0, 0, 3, 4, 0, 4, 0, 0, 2, 3, 1, 2, 4, 1, 0, 0, 4, 3, 4, 2, 1, 1, 0, 2, 3, 3, 3, 0, 4, 2, 1, 2, 3, 1, 4, 4, 2, 3, 0, 2, 4, 2, 2, 4, 2, 4, 0, 3, 0, 0, 1, 3, 1, 1, 2, 0, 4, 4, 3, 4, 0, 3, 4, 0, 4, 4, 1, 0, 0, 4, 1, 4, 2, 0, 3, 3, 1, 2, 4, 4, 1, 3, 2, 2, 4, 4, 2, 0, 1, 4, 3, 0, 2, 0, 4, 4, 3, 2, 3, 4, 4, 3, 2, 3, 2, 2, 2, 3, 4, 1, 2, 0, 4, 1, 2, 2, 3, 0, 0, 3, 1, 0, 4, 0, 1, 4, 0, 3, 0, 2, 1, 3, 1, 3, 0, 2, 1, 1, 4, 4, 2, 3, 3, 2] pubkeycol1322 = [0, 0, 4, 2, 4, 0, 1, 2, 2, 4, 0, 4, 2, 0, 3, 2, 4, 1, 3, 0, 3, 2, 3, 1, 3, 3, 4, 4, 3, 3, 3, 2, 2, 2, 4, 3, 0, 3, 4, 4, 0, 0, 4, 4, 2, 0, 1, 3, 2, 0, 1, 3, 2, 4, 1, 4, 2, 1, 0, 4, 3, 4, 2, 3, 4, 1, 4, 0, 2, 0, 0, 3, 1, 0, 2, 1, 0, 3, 1, 1, 2, 0, 4, 0, 4, 2, 1, 1, 0, 4, 3, 4, 0, 3, 3, 3, 1, 3, 1, 0, 3, 4, 2, 3, 2, 2, 1, 4, 2, 3, 1, 1, 2, 1, 2, 4, 1, 3, 3, 3, 0, 2, 1, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 0, 2, 4, 3, 4, 3, 0, 0, 3, 0, 2, 4, 0, 3, 2, 0, 1, 1, 4, 2, 0, 2, 1, 1, 0, 3, 3, 2, 3, 1, 4, 1, 1, 4, 4, 0, 2, 1, 4, 1, 4, 2, 0, 1, 1, 1, 3, 2, 1, 4, 4, 3, 1, 4, 1, 3, 2, 0, 3, 1, 1, 3, 3, 0, 1, 2, 3, 3, 1, 0, 0, 1, 4, 3, 2, 0, 4, 3, 2, 2, 3, 0, 3, 4, 2, 2, 3, 2, 1, 4, 2, 1, 0, 0, 4, 4, 3, 0, 4, 0, 3, 0, 4, 1, 2, 0, 4, 2, 4, 2, 1, 3, 2, 3, 4, 0, 3, 1, 2, 2, 4, 3, 1, 2, 3, 2, 1, 3, 3, 0, 0, 4, 0, 1, 4, 2, 2, 1, 0, 1, 1, 2, 0, 3, 2, 0, 2, 2, 2, 1, 0, 2, 1, 3, 4, 4, 1, 1, 1, 2, 4, 2, 3, 2, 4, 3, 0, 2, 2, 4, 4, 2, 3, 2, 1, 2, 0, 3, 4, 4, 4, 0, 0, 4, 0, 2, 1, 1, 0, 1, 3, 2, 1, 1, 0, 4, 0, 2, 3, 2, 4, 0, 1, 4, 4, 2, 0, 3, 0, 3, 0, 1, 1, 0, 2, 1, 3, 3, 0, 3, 0, 2, 3, 3, 4, 2, 2, 4, 3, 2, 1, 3, 2, 1, 2, 1, 1, 1, 1, 3, 3, 0, 4, 0, 4, 1, 2, 0, 1, 0, 2, 4, 4, 0, 3, 1, 1, 0, 0, 3, 4, 2, 2, 0, 0, 1, 3, 3, 2, 2, 3, 0, 1, 2, 0, 3, 3, 2, 3, 3, 2, 1, 0, 2, 0, 3, 0, 4, 1, 3, 2, 0, 3, 1, 3, 0, 3, 0, 2, 4, 4, 1, 0, 3, 4, 1, 2, 3, 3, 1, 4, 4, 2, 2, 4, 2, 4, 4, 4, 0, 4, 4, 2, 3, 4, 0, 0, 1, 1, 1, 2, 3, 1, 3, 3, 4, 1, 3, 1, 3, 1, 0, 2] pubkeycol1323 = [1, 4, 2, 4, 4, 1, 1, 4, 4, 4, 2, 1, 2, 2, 4, 0, 2, 0, 4, 3, 3, 4, 2, 0, 3, 1, 2, 3, 0, 4, 4, 2, 2, 4, 2, 4, 4, 4, 0, 0, 2, 4, 3, 1, 4, 4, 1, 0, 1, 4, 1, 1, 4, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 0, 2, 4, 0, 4, 4, 3, 4, 2, 0, 3, 2, 2, 1, 4, 1, 3, 1, 0, 4, 0, 2, 2, 0, 4, 0, 0, 2, 4, 0, 0, 1, 2, 1, 0, 4, 3, 4, 3, 3, 1, 4, 2, 1, 2, 0, 3, 1, 1, 4, 1, 0, 1, 1, 1, 3, 3, 3, 3, 3, 0, 4, 3, 4, 0, 0, 1, 4, 4, 1, 4, 0, 4, 4, 3, 2, 1, 4, 1, 0, 2, 0, 1, 0, 4, 4, 0, 0, 0, 4, 2, 1, 4, 1, 4, 1, 2, 3, 4, 0, 2, 4, 3, 1, 4, 3, 4, 3, 2, 0, 1, 4, 3, 0, 0, 3, 0, 3, 2, 4, 3, 4, 3, 4, 4, 0, 2, 1, 0, 4, 1, 0, 2, 4, 0, 2, 3, 0, 1, 0, 0, 3, 4, 2, 2, 2, 3, 4, 0, 2, 3, 3, 0, 0, 2, 3, 0, 1, 3, 3, 0, 4, 4, 4, 0, 4, 4, 4, 3, 1, 4, 3, 0, 2, 0, 3, 4, 3, 2, 3, 1, 1, 4, 1, 2, 4, 2, 1, 1, 4, 2, 3, 2, 4, 1, 1, 0, 0, 4, 3, 2, 3, 3, 0, 4, 2, 3, 4, 3, 2, 0, 2, 3, 4, 1, 0, 1, 1, 1, 0, 2, 3, 4, 2, 4, 2, 0, 2, 3, 4, 4, 4, 1, 4, 1, 1, 0, 3, 4, 4, 4, 4, 4, 2, 1, 3, 3, 2, 4, 0, 1, 4, 2, 4, 3, 0, 0, 4, 1, 1, 2, 3, 0, 1, 1, 4, 0, 4, 1, 3, 4, 0, 4, 1, 4, 3, 1, 3, 1, 3, 4, 1, 1, 0, 4, 3, 2, 4, 0, 2, 1, 0, 2, 1, 1, 0, 4, 1, 4, 4, 1, 0, 2, 2, 4, 3, 2, 3, 0, 1, 1, 2, 1, 1, 4, 1, 2, 0, 2, 4, 2, 2, 0, 2, 4, 4, 4, 2, 2, 4, 4, 1, 1, 0, 2, 1, 3, 1, 3, 0, 1, 0, 1, 3, 1, 4, 0, 1, 4, 0, 1, 4, 2, 3, 2, 3, 2, 1, 0, 3, 3, 4, 0, 2, 1, 4, 4, 3, 4, 4, 1, 1, 1, 3, 4, 1, 4, 3, 0, 0, 2, 3, 3, 1, 1, 1, 3, 3, 4, 4, 0, 2, 3, 4, 2, 0, 2, 2, 4, 2, 3, 2, 4, 1, 2, 3, 1, 4, 2, 1, 1, 0, 3, 3, 1, 0, 3] pubkeycol1324 = [2, 0, 3, 4, 4, 2, 2, 3, 1, 2, 4, 2, 2, 3, 0, 4, 1, 4, 3, 4, 0, 2, 0, 1, 0, 1, 4, 2, 3, 3, 4, 0, 3, 3, 4, 2, 3, 4, 1, 4, 3, 0, 1, 4, 0, 3, 3, 3, 1, 0, 4, 0, 4, 4, 2, 0, 2, 3, 2, 4, 2, 1, 0, 1, 3, 0, 2, 3, 2, 4, 4, 2, 3, 2, 2, 3, 4, 2, 4, 1, 2, 4, 2, 3, 0, 0, 0, 1, 3, 4, 3, 2, 1, 3, 1, 4, 0, 4, 1, 3, 4, 2, 4, 2, 4, 0, 4, 3, 2, 1, 4, 2, 1, 0, 1, 2, 4, 0, 4, 4, 3, 4, 1, 4, 3, 4, 4, 2, 1, 2, 4, 1, 1, 4, 1, 1, 0, 2, 2, 4, 2, 0, 0, 4, 1, 3, 0, 4, 1, 0, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 2, 3, 3, 2, 3, 0, 4, 0, 4, 1, 2, 2, 4, 2, 4, 2, 1, 3, 0, 0, 0, 3, 2, 2, 4, 2, 2, 0, 2, 4, 1, 2, 1, 0, 3, 4, 3, 0, 4, 3, 0, 0, 3, 2, 0, 0, 4, 1, 3, 0, 3, 2, 1, 4, 4, 0, 0, 3, 3, 1, 4, 3, 4, 4, 2, 4, 1, 2, 1, 2, 0, 1, 3, 1, 0, 3, 0, 1, 3, 3, 4, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 4, 0, 2, 4, 1, 4, 4, 2, 1, 3, 4, 4, 1, 2, 4, 0, 0, 4, 2, 2, 3, 0, 1, 3, 4, 0, 4, 4, 0, 0, 3, 3, 2, 2, 1, 3, 2, 2, 3, 3, 4, 1, 3, 3, 0, 1, 0, 4, 0, 0, 4, 0, 4, 4, 2, 1, 0, 2, 4, 1, 4, 4, 0, 2, 2, 0, 1, 1, 0, 4, 4, 0, 0, 4, 3, 4, 2, 2, 1, 4, 3, 3, 2, 1, 0, 4, 3, 3, 2, 4, 0, 4, 1, 4, 3, 4, 3, 3, 0, 3, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 4, 4, 3, 2, 1, 2, 1, 0, 4, 0, 0, 3, 4, 0, 2, 0, 1, 0, 3, 0, 1, 3, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 4, 4, 4, 1, 2, 0, 3, 1, 3, 4, 1, 0, 3, 4, 4, 1, 4, 2, 3, 0, 1, 2, 4, 1, 4, 3, 3, 2, 2, 0, 0, 4, 2, 0, 4, 3, 2, 0, 3, 3, 3, 3, 1, 4, 2, 3, 1, 2, 4, 0, 1, 2, 1, 3, 3, 4, 1, 3, 2, 1, 1, 1, 4, 3, 1, 1, 1, 2, 3, 4, 2, 0, 4, 2, 2, 1, 2, 1, 0, 0, 3, 0, 0, 3, 2, 2, 4] pubkeycol1325 = [1, 4, 0, 2, 4, 4, 1, 3, 2, 0, 1, 1, 4, 0, 4, 0, 0, 4, 4, 4, 3, 4, 2, 0, 1, 1, 3, 4, 0, 4, 1, 0, 4, 2, 0, 1, 1, 3, 2, 1, 4, 1, 4, 1, 0, 4, 2, 0, 2, 1, 3, 0, 0, 3, 2, 2, 0, 0, 2, 0, 3, 1, 3, 4, 3, 3, 4, 2, 1, 2, 4, 0, 3, 3, 1, 3, 1, 0, 1, 3, 0, 0, 1, 0, 1, 0, 2, 2, 3, 3, 0, 2, 0, 2, 4, 2, 0, 4, 2, 1, 4, 0, 1, 4, 1, 1, 3, 2, 4, 0, 0, 2, 0, 4, 1, 4, 4, 2, 0, 2, 3, 3, 2, 0, 4, 3, 2, 1, 2, 4, 4, 1, 4, 3, 1, 4, 1, 2, 0, 1, 3, 2, 3, 3, 4, 0, 0, 2, 0, 4, 4, 0, 2, 2, 1, 4, 2, 3, 1, 3, 1, 0, 0, 3, 4, 3, 3, 0, 4, 0, 4, 3, 3, 2, 4, 2, 1, 4, 0, 4, 4, 3, 4, 2, 1, 0, 4, 0, 0, 3, 2, 2, 0, 3, 0, 3, 2, 1, 4, 2, 3, 2, 2, 4, 2, 0, 3, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 3, 1, 3, 1, 3, 1, 0, 0, 4, 3, 3, 3, 1, 0, 2, 3, 3, 4, 4, 1, 3, 3, 4, 3, 1, 3, 0, 1, 0, 2, 1, 2, 3, 3, 3, 1, 0, 3, 1, 1, 4, 1, 2, 0, 1, 2, 4, 0, 0, 0, 2, 0, 1, 3, 3, 1, 2, 0, 4, 3, 3, 3, 0, 3, 2, 2, 2, 4, 4, 1, 2, 0, 1, 3, 0, 3, 2, 1, 4, 0, 4, 0, 0, 2, 0, 3, 3, 3, 2, 3, 1, 4, 2, 0, 1, 3, 3, 3, 0, 1, 3, 4, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 1, 3, 0, 2, 0, 4, 3, 3, 2, 1, 4, 0, 3, 2, 2, 4, 3, 3, 1, 1, 3, 2, 2, 0, 3, 2, 1, 4, 4, 3, 4, 3, 1, 0, 4, 1, 0, 3, 0, 2, 4, 3, 2, 1, 2, 0, 4, 3, 2, 4, 3, 0, 3, 4, 2, 1, 3, 1, 0, 4, 1, 2, 2, 1, 2, 4, 1, 0, 3, 0, 2, 3, 4, 4, 2, 1, 4, 0, 1, 3, 4, 4, 2, 2, 1, 3, 1, 4, 3, 3, 3, 4, 3, 3, 0, 1, 0, 0, 1, 3, 3, 2, 2, 3, 2, 0, 3, 3, 3, 2, 2, 4, 3, 2, 1, 1, 1, 1, 4, 4, 4, 0, 1, 3, 3, 3, 1, 4, 1, 0, 4, 0, 2, 1, 4, 0, 3, 4, 2, 1, 2, 4, 4, 1, 2, 3, 1, 4, 3] pubkeycol1326 = [2, 1, 0, 1, 1, 2, 0, 4, 4, 0, 1, 4, 1, 1, 0, 4, 2, 4, 1, 3, 2, 4, 2, 0, 3, 0, 3, 2, 1, 1, 4, 4, 1, 1, 3, 4, 2, 0, 3, 3, 0, 0, 2, 0, 3, 2, 4, 3, 3, 0, 3, 1, 2, 1, 4, 4, 2, 0, 1, 4, 2, 2, 0, 2, 3, 2, 2, 3, 1, 0, 3, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 4, 2, 3, 4, 0, 1, 2, 0, 4, 0, 2, 0, 1, 3, 3, 4, 1, 2, 4, 0, 2, 3, 4, 3, 3, 0, 2, 1, 0, 2, 3, 3, 2, 0, 1, 1, 3, 2, 2, 2, 4, 1, 2, 1, 4, 1, 4, 0, 1, 2, 0, 0, 0, 1, 2, 4, 0, 2, 2, 2, 1, 2, 0, 0, 4, 0, 3, 0, 4, 4, 1, 0, 0, 2, 1, 2, 1, 0, 2, 4, 4, 2, 4, 1, 1, 3, 4, 0, 1, 2, 1, 4, 4, 1, 1, 4, 3, 2, 4, 1, 0, 3, 3, 2, 4, 0, 0, 4, 4, 0, 1, 2, 4, 4, 1, 2, 2, 3, 1, 4, 3, 0, 3, 0, 3, 0, 2, 0, 4, 2, 0, 1, 3, 0, 2, 1, 4, 4, 3, 2, 3, 2, 0, 1, 1, 4, 3, 1, 3, 3, 2, 1, 0, 2, 4, 3, 1, 2, 0, 3, 1, 2, 0, 3, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 4, 3, 1, 4, 4, 3, 2, 4, 4, 2, 1, 1, 2, 0, 4, 4, 2, 2, 4, 1, 3, 3, 4, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 4, 4, 3, 1, 2, 2, 0, 1, 1, 0, 2, 2, 3, 1, 4, 0, 3, 4, 3, 1, 4, 3, 2, 3, 0, 1, 3, 0, 4, 2, 2, 4, 2, 4, 3, 0, 1, 1, 0, 0, 1, 3, 3, 4, 3, 0, 4, 2, 1, 4, 1, 4, 2, 3, 3, 0, 1, 4, 2, 4, 4, 1, 0, 4, 3, 1, 1, 4, 0, 2, 0, 3, 3, 0, 4, 2, 4, 1, 4, 2, 1, 1, 1, 0, 2, 2, 0, 0, 4, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 3, 2, 2, 3, 1, 2, 0, 2, 2, 0, 3, 1, 4, 3, 0, 3, 1, 3, 0, 3, 0, 1, 3, 4, 1, 2, 4, 4, 2, 2, 1, 1, 3, 3, 0, 2, 0, 2, 3, 3, 1, 2, 2, 2, 0, 4, 2, 4, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 4, 3, 4, 0, 0, 3, 2, 3, 2, 1, 4, 2, 2, 1, 3, 1, 1, 4, 2, 1, 1, 3, 3, 4, 4, 2, 3, 2, 0, 0] pubkeycol1327 = [0, 4, 0, 2, 1, 4, 2, 4, 1, 0, 1, 3, 4, 2, 0, 2, 3, 0, 1, 3, 1, 3, 0, 4, 2, 4, 4, 0, 3, 3, 3, 2, 4, 3, 2, 1, 0, 1, 3, 0, 2, 0, 0, 0, 1, 4, 0, 1, 4, 1, 4, 4, 4, 4, 4, 3, 0, 3, 4, 1, 0, 0, 3, 4, 3, 3, 2, 0, 4, 3, 0, 2, 1, 1, 4, 4, 1, 1, 0, 0, 1, 1, 0, 3, 0, 2, 2, 3, 4, 4, 2, 4, 0, 0, 1, 4, 3, 1, 1, 2, 1, 3, 4, 4, 0, 1, 3, 0, 2, 4, 2, 0, 1, 3, 3, 0, 3, 1, 1, 1, 1, 4, 2, 0, 4, 3, 1, 0, 3, 3, 3, 0, 3, 3, 4, 2, 3, 2, 3, 2, 0, 0, 0, 0, 0, 2, 0, 3, 3, 4, 1, 1, 2, 1, 4, 0, 1, 0, 3, 0, 0, 2, 1, 3, 2, 1, 4, 0, 4, 4, 0, 0, 4, 4, 1, 1, 0, 3, 1, 2, 2, 0, 3, 3, 4, 4, 3, 4, 2, 3, 1, 4, 1, 4, 1, 2, 1, 2, 3, 2, 3, 2, 4, 2, 2, 1, 1, 4, 4, 1, 3, 3, 2, 3, 2, 1, 3, 4, 2, 1, 1, 1, 3, 4, 2, 1, 3, 2, 1, 1, 4, 0, 0, 4, 0, 1, 2, 3, 0, 4, 3, 4, 0, 3, 0, 3, 2, 0, 4, 3, 1, 0, 4, 3, 2, 4, 4, 3, 4, 2, 4, 2, 1, 2, 4, 0, 3, 2, 0, 3, 2, 0, 0, 1, 0, 4, 4, 2, 3, 3, 3, 4, 3, 2, 0, 4, 2, 4, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 3, 1, 0, 4, 0, 3, 4, 0, 4, 0, 0, 0, 2, 1, 0, 4, 4, 0, 0, 2, 3, 2, 2, 4, 2, 1, 4, 1, 4, 4, 0, 0, 0, 4, 3, 4, 4, 0, 1, 3, 0, 0, 1, 3, 2, 2, 3, 2, 3, 2, 2, 0, 4, 2, 0, 4, 1, 0, 4, 1, 3, 3, 0, 1, 0, 0, 3, 4, 4, 4, 3, 4, 1, 4, 1, 0, 1, 1, 3, 3, 0, 2, 1, 1, 3, 1, 3, 3, 3, 1, 3, 1, 1, 3, 3, 3, 2, 1, 1, 0, 4, 0, 4, 0, 2, 0, 1, 4, 1, 3, 1, 0, 1, 4, 0, 3, 2, 1, 4, 0, 3, 4, 0, 1, 1, 3, 2, 2, 4, 4, 0, 1, 0, 0, 3, 2, 4, 4, 0, 4, 0, 2, 3, 0, 0, 3, 2, 0, 1, 4, 1, 3, 2, 3, 1, 4, 1, 4, 1, 0, 1, 3, 2, 1, 1, 4, 4, 3, 3, 2, 2, 3, 2, 1, 0, 2, 3, 3, 0, 0, 1] pubkeycol1328 = [0, 0, 1, 0, 2, 1, 3, 2, 0, 4, 2, 4, 3, 0, 0, 3, 0, 4, 2, 3, 4, 2, 3, 2, 2, 3, 1, 0, 4, 3, 0, 0, 2, 4, 2, 1, 4, 4, 1, 4, 4, 3, 1, 1, 2, 2, 2, 0, 4, 0, 1, 3, 2, 0, 2, 2, 4, 4, 3, 3, 2, 1, 2, 3, 0, 3, 4, 0, 3, 2, 1, 2, 0, 2, 0, 3, 3, 1, 2, 3, 0, 3, 2, 4, 4, 3, 4, 2, 2, 4, 0, 2, 2, 1, 4, 0, 4, 3, 3, 4, 2, 0, 2, 1, 4, 4, 3, 4, 4, 1, 4, 2, 1, 2, 3, 0, 3, 3, 4, 4, 3, 0, 1, 4, 2, 2, 0, 4, 1, 0, 0, 1, 1, 4, 1, 4, 1, 1, 0, 0, 1, 3, 3, 1, 4, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 4, 3, 0, 4, 4, 0, 3, 1, 1, 1, 1, 3, 3, 2, 4, 1, 4, 4, 4, 3, 2, 2, 2, 4, 4, 4, 0, 3, 1, 2, 4, 1, 1, 2, 0, 3, 1, 1, 1, 4, 1, 1, 2, 4, 3, 2, 4, 4, 4, 1, 2, 3, 2, 2, 0, 1, 0, 4, 4, 0, 1, 0, 4, 1, 1, 2, 3, 3, 3, 3, 4, 0, 3, 1, 0, 2, 3, 3, 3, 4, 3, 3, 0, 4, 3, 3, 0, 4, 0, 3, 3, 4, 3, 2, 3, 1, 4, 3, 0, 0, 2, 1, 4, 3, 3, 1, 4, 0, 2, 1, 3, 1, 3, 3, 4, 0, 1, 3, 0, 0, 4, 2, 0, 2, 0, 4, 0, 4, 0, 0, 1, 4, 0, 4, 4, 0, 1, 1, 0, 4, 2, 1, 3, 0, 3, 4, 1, 2, 0, 2, 3, 3, 3, 1, 0, 4, 4, 1, 3, 0, 3, 3, 0, 4, 1, 0, 0, 0, 4, 3, 1, 4, 0, 1, 3, 1, 2, 0, 0, 0, 2, 4, 1, 0, 0, 4, 0, 4, 1, 1, 4, 2, 0, 3, 0, 2, 1, 4, 2, 2, 3, 2, 0, 3, 3, 2, 3, 1, 4, 3, 3, 1, 3, 4, 4, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 4, 2, 2, 3, 0, 3, 1, 4, 4, 1, 3, 0, 2, 4, 2, 3, 4, 4, 0, 4, 2, 4, 2, 3, 2, 0, 2, 1, 2, 4, 3, 1, 3, 3, 4, 2, 1, 1, 1, 2, 4, 2, 4, 3, 2, 3, 3, 1, 2, 1, 4, 2, 4, 4, 4, 2, 1, 1, 1, 2, 4, 3, 3, 1, 0, 3, 1, 4, 3, 4, 1, 4, 2, 0, 2, 2, 1, 4, 3, 3, 2, 2, 2, 2, 1, 2, 4, 0, 0, 4, 4, 0, 0] pubkeycol1329 = [0, 4, 0, 2, 0, 1, 0, 4, 1, 4, 2, 4, 1, 1, 3, 2, 0, 3, 0, 3, 2, 4, 0, 0, 2, 0, 4, 3, 2, 0, 4, 3, 3, 4, 3, 4, 2, 1, 2, 4, 2, 0, 2, 4, 4, 4, 2, 4, 2, 0, 3, 1, 1, 2, 2, 3, 0, 4, 0, 0, 4, 4, 2, 3, 3, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 4, 3, 1, 3, 1, 4, 4, 2, 0, 4, 0, 0, 2, 1, 4, 3, 1, 4, 2, 4, 4, 1, 4, 2, 0, 0, 4, 4, 1, 4, 4, 4, 4, 1, 4, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 4, 4, 2, 4, 4, 2, 2, 0, 1, 0, 4, 3, 2, 0, 1, 0, 1, 0, 0, 3, 1, 0, 2, 1, 2, 4, 0, 2, 4, 4, 2, 2, 4, 4, 1, 1, 1, 0, 0, 1, 2, 2, 2, 4, 3, 0, 0, 4, 1, 0, 4, 4, 1, 4, 3, 3, 3, 0, 4, 3, 1, 0, 4, 1, 3, 4, 4, 3, 0, 0, 0, 1, 1, 3, 0, 0, 0, 2, 4, 3, 4, 3, 2, 3, 2, 1, 0, 3, 2, 4, 3, 2, 0, 2, 0, 2, 1, 1, 3, 2, 4, 0, 1, 2, 1, 4, 1, 0, 0, 0, 2, 2, 1, 0, 3, 2, 3, 1, 2, 3, 0, 4, 2, 4, 2, 3, 2, 4, 2, 0, 4, 1, 4, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 4, 2, 4, 1, 1, 0, 3, 0, 4, 2, 3, 1, 4, 0, 1, 4, 3, 2, 3, 3, 3, 0, 3, 2, 4, 3, 0, 2, 2, 0, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 1, 4, 0, 3, 4, 3, 3, 1, 0, 3, 3, 0, 4, 3, 1, 2, 1, 3, 0, 4, 3, 2, 4, 1, 3, 1, 3, 3, 1, 0, 4, 3, 2, 0, 0, 0, 2, 0, 3, 0, 0, 1, 4, 0, 2, 1, 1, 1, 3, 0, 1, 4, 0, 2, 2, 4, 4, 4, 2, 3, 4, 1, 0, 4, 2, 1, 4, 0, 1, 4, 3, 3, 4, 0, 3, 2, 1, 1, 2, 1, 2, 2, 4, 2, 1, 3, 0, 0, 0, 2, 3, 0, 4, 0, 3, 0, 4, 0, 2, 2, 3, 4, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 4, 1, 1, 1, 3, 4, 2, 1, 2, 1, 2, 0, 3, 4, 2, 0, 4, 1, 2, 1, 1, 3, 2, 0, 3, 3, 2, 3, 4, 3, 2, 1, 3, 0, 3, 3, 2, 1, 4, 0, 2, 3, 3, 2, 1, 0, 4, 1] pubkeycol1330 = [0, 3, 3, 2, 3, 1, 3, 1, 4, 1, 2, 4, 4, 2, 4, 1, 3, 4, 1, 2, 0, 4, 2, 0, 2, 1, 4, 3, 3, 2, 4, 4, 2, 4, 2, 4, 1, 0, 4, 3, 0, 0, 1, 0, 4, 3, 0, 1, 0, 3, 1, 3, 4, 4, 3, 2, 0, 0, 0, 3, 0, 0, 3, 4, 4, 0, 0, 2, 4, 1, 1, 2, 2, 1, 1, 2, 4, 3, 0, 1, 3, 0, 3, 0, 0, 0, 0, 2, 1, 4, 3, 3, 0, 1, 1, 4, 1, 3, 0, 4, 3, 4, 4, 1, 2, 1, 3, 4, 4, 1, 0, 1, 0, 3, 3, 2, 3, 3, 0, 2, 4, 1, 2, 1, 3, 3, 1, 4, 3, 1, 3, 4, 0, 3, 2, 4, 1, 3, 3, 2, 0, 0, 4, 4, 2, 1, 4, 3, 3, 3, 3, 2, 3, 3, 2, 2, 4, 3, 0, 3, 3, 1, 4, 3, 1, 3, 0, 3, 4, 1, 0, 1, 4, 1, 2, 4, 3, 2, 4, 0, 1, 4, 3, 2, 0, 0, 1, 1, 2, 2, 3, 3, 1, 0, 2, 4, 1, 1, 3, 1, 3, 0, 1, 3, 2, 0, 0, 2, 4, 3, 1, 2, 1, 4, 2, 4, 0, 2, 3, 2, 3, 1, 2, 1, 4, 1, 0, 1, 3, 1, 4, 2, 1, 4, 4, 3, 4, 2, 0, 4, 3, 3, 1, 0, 1, 1, 2, 2, 4, 1, 0, 0, 3, 2, 3, 0, 2, 1, 4, 3, 3, 3, 1, 1, 1, 3, 3, 2, 3, 2, 0, 3, 1, 1, 4, 0, 1, 1, 0, 4, 1, 0, 3, 1, 3, 0, 2, 1, 3, 2, 2, 4, 1, 1, 0, 3, 1, 3, 4, 1, 1, 3, 4, 4, 0, 2, 3, 0, 3, 3, 0, 2, 1, 4, 0, 1, 0, 2, 0, 2, 2, 4, 0, 0, 4, 2, 3, 0, 1, 3, 1, 0, 0, 3, 0, 2, 2, 2, 1, 2, 4, 0, 2, 3, 0, 1, 3, 2, 4, 3, 2, 1, 0, 1, 3, 4, 2, 3, 2, 0, 4, 1, 0, 1, 4, 0, 2, 4, 0, 3, 2, 4, 0, 4, 2, 2, 0, 1, 2, 1, 1, 3, 4, 4, 2, 2, 2, 3, 2, 0, 4, 4, 1, 2, 0, 2, 3, 4, 3, 4, 0, 4, 0, 1, 2, 1, 3, 0, 3, 0, 4, 1, 0, 4, 3, 4, 0, 4, 0, 2, 3, 3, 2, 0, 3, 1, 3, 2, 0, 3, 1, 2, 4, 3, 0, 1, 3, 0, 1, 0, 0, 1, 4, 4, 0, 0, 0, 4, 0, 3, 3, 1, 2, 0, 1, 3, 0, 0, 0, 0, 1, 1, 0, 2, 4, 4, 2, 4, 2, 2, 0, 4, 2, 4, 4, 3, 2, 4, 0, 1] pubkeycol1331 = [4, 4, 4, 0, 3, 0, 1, 4, 3, 4, 4, 2, 4, 3, 0, 3, 0, 4, 4, 2, 2, 0, 2, 2, 2, 3, 3, 2, 3, 2, 0, 0, 1, 4, 1, 4, 2, 2, 4, 1, 0, 1, 2, 3, 2, 1, 0, 2, 3, 2, 2, 2, 1, 4, 2, 3, 4, 3, 0, 2, 2, 0, 0, 3, 2, 4, 3, 3, 1, 4, 1, 0, 3, 0, 3, 1, 0, 3, 2, 1, 4, 3, 1, 2, 1, 1, 1, 3, 1, 1, 3, 3, 1, 2, 4, 4, 1, 2, 2, 1, 2, 2, 4, 4, 3, 3, 4, 3, 4, 3, 3, 0, 2, 0, 4, 1, 2, 4, 3, 0, 0, 4, 1, 4, 4, 0, 2, 3, 4, 1, 0, 4, 0, 3, 0, 4, 2, 4, 4, 3, 2, 4, 3, 4, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 2, 2, 1, 3, 1, 0, 3, 3, 4, 4, 2, 2, 0, 0, 2, 2, 2, 2, 3, 1, 2, 3, 2, 3, 2, 1, 4, 4, 2, 0, 3, 4, 4, 3, 4, 3, 2, 4, 4, 2, 1, 3, 4, 1, 0, 0, 1, 0, 1, 1, 4, 1, 1, 4, 2, 1, 1, 0, 1, 1, 0, 2, 3, 0, 3, 0, 2, 0, 3, 1, 3, 4, 1, 2, 3, 1, 0, 4, 3, 3, 0, 0, 4, 1, 1, 4, 4, 4, 3, 0, 0, 4, 0, 1, 2, 4, 2, 0, 3, 0, 4, 2, 3, 2, 2, 4, 0, 2, 2, 4, 2, 1, 4, 0, 4, 0, 0, 1, 3, 4, 2, 3, 2, 3, 1, 1, 3, 1, 0, 2, 4, 2, 4, 0, 2, 2, 0, 3, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 0, 0, 4, 3, 2, 1, 0, 1, 0, 3, 3, 0, 2, 3, 4, 2, 0, 2, 1, 0, 4, 3, 1, 4, 4, 3, 3, 1, 1, 2, 0, 2, 4, 1, 0, 1, 3, 1, 2, 2, 4, 2, 2, 3, 0, 3, 3, 0, 3, 0, 4, 4, 1, 1, 3, 1, 1, 3, 2, 1, 0, 2, 3, 2, 0, 0, 4, 4, 2, 3, 4, 2, 2, 4, 2, 3, 0, 3, 4, 2, 2, 2, 3, 0, 1, 2, 0, 1, 4, 4, 1, 0, 3, 3, 3, 3, 2, 3, 1, 3, 4, 4, 2, 1, 2, 4, 3, 3, 4, 3, 3, 3, 3, 1, 4, 2, 0, 2, 4, 4, 0, 3, 4, 4, 1, 0, 1, 3, 1, 3, 3, 3, 0, 3, 2, 4, 0, 3, 2, 4, 4, 2, 2, 2, 1, 4, 2, 4, 0, 4, 1, 0, 2, 0, 1, 4, 4, 1, 3, 1, 4, 2, 1, 2, 3, 1, 2, 1, 2, 0, 2, 3, 1, 4, 4, 4, 2] pubkeycol1332 = [2, 0, 2, 1, 3, 3, 0, 3, 2, 2, 2, 0, 3, 3, 4, 3, 3, 0, 2, 2, 4, 0, 1, 3, 4, 2, 1, 3, 3, 2, 4, 1, 1, 4, 2, 0, 1, 0, 3, 2, 4, 1, 1, 2, 0, 4, 0, 3, 1, 0, 3, 3, 1, 2, 3, 3, 4, 2, 0, 3, 4, 3, 4, 0, 2, 0, 1, 0, 1, 4, 2, 1, 1, 3, 2, 4, 2, 2, 1, 3, 0, 0, 0, 4, 4, 1, 4, 0, 0, 2, 2, 4, 0, 1, 1, 4, 0, 1, 2, 3, 0, 4, 2, 1, 1, 3, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 4, 3, 0, 0, 1, 1, 4, 2, 0, 4, 0, 0, 3, 0, 0, 0, 2, 4, 1, 4, 0, 4, 2, 0, 4, 1, 4, 0, 1, 1, 0, 3, 0, 1, 3, 3, 1, 3, 0, 3, 0, 3, 2, 3, 0, 4, 1, 0, 4, 4, 4, 1, 2, 3, 3, 3, 3, 3, 0, 0, 1, 3, 0, 0, 2, 2, 2, 0, 2, 1, 3, 2, 0, 0, 1, 0, 2, 2, 4, 2, 0, 3, 3, 2, 4, 4, 1, 3, 1, 1, 3, 2, 0, 1, 2, 4, 3, 1, 3, 0, 4, 1, 0, 0, 2, 4, 4, 1, 4, 4, 0, 0, 2, 1, 0, 0, 3, 1, 3, 1, 1, 4, 4, 4, 3, 3, 1, 4, 0, 3, 3, 1, 0, 4, 0, 2, 2, 0, 0, 0, 1, 4, 0, 4, 1, 3, 0, 0, 0, 0, 4, 0, 1, 3, 1, 1, 3, 4, 2, 3, 1, 4, 1, 1, 1, 3, 4, 3, 0, 0, 2, 4, 1, 1, 4, 3, 0, 0, 0, 2, 3, 4, 2, 0, 3, 4, 1, 4, 3, 1, 2, 3, 1, 0, 4, 3, 2, 1, 0, 2, 0, 4, 2, 3, 3, 1, 2, 2, 2, 3, 3, 1, 4, 2, 1, 3, 0, 4, 2, 0, 3, 1, 1, 0, 4, 1, 3, 1, 4, 2, 2, 0, 0, 2, 1, 4, 3, 2, 0, 1, 0, 3, 4, 3, 4, 0, 0, 4, 2, 0, 4, 1, 3, 0, 0, 4, 3, 0, 2, 0, 2, 0, 1, 1, 4, 4, 3, 1, 1, 4, 0, 1, 4, 0, 1, 4, 3, 1, 3, 1, 4, 1, 1, 4, 0, 0, 4, 1, 4, 2, 3, 0, 0, 4, 4, 1, 2, 0, 3, 3, 1, 0, 0, 3, 2, 1, 2, 3, 3, 2, 3, 2, 0, 1, 3, 3, 1, 1, 3, 3, 3, 0, 4, 4, 3, 3, 2, 4, 2, 0, 4, 0, 1, 3, 0, 3, 3, 1, 3, 3, 0, 1, 4, 0, 4, 0, 4, 1, 4, 1, 0, 3, 3, 0, 3, 2, 4, 4, 3] pubkeycol1333 = [3, 3, 3, 3, 2, 3, 3, 0, 3, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 4, 1, 3, 4, 1, 3, 4, 3, 3, 0, 4, 0, 3, 0, 4, 1, 1, 1, 3, 4, 2, 4, 2, 2, 3, 3, 2, 4, 1, 3, 0, 3, 0, 4, 3, 1, 0, 4, 4, 4, 0, 2, 3, 0, 3, 0, 1, 4, 0, 2, 1, 4, 2, 3, 3, 0, 3, 2, 1, 1, 0, 1, 4, 1, 1, 3, 0, 0, 3, 0, 1, 2, 1, 3, 4, 1, 2, 2, 4, 0, 0, 1, 4, 4, 2, 0, 2, 0, 1, 1, 4, 1, 3, 0, 3, 1, 0, 0, 1, 3, 0, 3, 3, 0, 3, 3, 1, 4, 1, 3, 3, 0, 1, 1, 0, 4, 1, 2, 1, 4, 0, 3, 3, 3, 3, 1, 4, 4, 0, 4, 3, 4, 2, 2, 0, 4, 3, 1, 4, 0, 0, 2, 2, 0, 2, 3, 1, 0, 3, 2, 3, 3, 4, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 3, 4, 2, 0, 2, 1, 2, 4, 2, 4, 3, 2, 1, 4, 0, 4, 4, 1, 4, 0, 0, 3, 0, 3, 0, 4, 0, 4, 0, 3, 2, 2, 3, 2, 1, 1, 4, 1, 4, 4, 1, 1, 3, 1, 3, 4, 4, 1, 3, 4, 2, 3, 3, 1, 4, 4, 4, 2, 4, 2, 0, 0, 0, 2, 4, 1, 2, 1, 4, 1, 2, 4, 4, 0, 4, 4, 4, 3, 3, 4, 3, 4, 2, 4, 1, 3, 3, 1, 4, 4, 1, 1, 3, 0, 2, 3, 0, 0, 1, 4, 3, 1, 3, 1, 1, 4, 1, 2, 4, 3, 0, 0, 3, 2, 2, 2, 3, 1, 0, 2, 3, 2, 0, 1, 2, 0, 2, 2, 3, 2, 4, 1, 0, 4, 1, 1, 4, 0, 0, 0, 3, 4, 4, 2, 4, 4, 2, 1, 0, 1, 4, 2, 0, 4, 1, 0, 4, 3, 2, 2, 1, 2, 1, 3, 4, 4, 3, 4, 3, 0, 3, 2, 2, 4, 0, 4, 3, 0, 0, 2, 1, 0, 1, 3, 0, 0, 2, 3, 3, 3, 3, 0, 4, 1, 3, 0, 3, 4, 3, 2, 1, 2, 1, 0, 1, 1, 4, 2, 3, 0, 3, 1, 3, 1, 0, 2, 3, 1, 1, 2, 1, 0, 2, 3, 1, 3, 2, 0, 3, 3, 1, 2, 2, 0, 3, 2, 1, 4, 4, 1, 4, 3, 2, 1, 3, 4, 4, 4, 1, 4, 4, 0, 1, 4, 1, 4, 0, 3, 4, 4, 3, 1, 1, 4, 3, 3, 2, 0, 0, 1, 2, 3, 1, 4, 2, 2, 3, 0, 1, 2, 0, 1, 3, 3, 1, 2, 4, 4, 0, 2, 4, 1, 1, 2, 3] pubkeycol1334 = [3, 3, 4, 2, 0, 4, 1, 4, 4, 4, 2, 1, 1, 2, 1, 1, 3, 3, 4, 4, 3, 4, 1, 4, 0, 4, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 0, 4, 0, 4, 4, 1, 2, 3, 1, 0, 4, 2, 0, 4, 2, 4, 4, 3, 0, 4, 3, 4, 4, 0, 3, 0, 1, 3, 4, 1, 3, 3, 0, 3, 2, 2, 1, 1, 4, 4, 0, 3, 3, 4, 4, 2, 4, 4, 0, 4, 3, 0, 2, 1, 4, 4, 4, 3, 3, 1, 2, 4, 3, 0, 0, 2, 0, 4, 0, 3, 0, 2, 0, 2, 3, 2, 3, 3, 2, 2, 4, 0, 1, 0, 2, 4, 1, 3, 2, 1, 4, 4, 4, 1, 2, 2, 1, 3, 0, 3, 2, 0, 0, 1, 2, 2, 4, 1, 4, 0, 3, 2, 1, 0, 0, 2, 3, 4, 1, 3, 2, 3, 0, 1, 0, 2, 3, 1, 0, 2, 4, 4, 1, 1, 3, 4, 1, 1, 2, 3, 0, 2, 1, 3, 1, 3, 3, 3, 2, 2, 4, 4, 2, 0, 3, 3, 3, 3, 3, 3, 1, 1, 0, 2, 3, 4, 1, 0, 0, 0, 2, 1, 4, 2, 0, 4, 0, 4, 0, 4, 0, 1, 2, 2, 0, 4, 3, 3, 1, 1, 4, 0, 1, 3, 4, 3, 0, 3, 2, 0, 1, 4, 1, 0, 2, 4, 2, 2, 3, 3, 3, 1, 4, 3, 3, 1, 2, 1, 0, 4, 4, 3, 1, 4, 2, 3, 4, 0, 3, 3, 3, 2, 1, 1, 3, 4, 4, 2, 2, 0, 0, 0, 4, 1, 0, 3, 0, 1, 1, 3, 1, 2, 2, 4, 4, 4, 3, 3, 3, 0, 0, 3, 4, 1, 0, 1, 2, 4, 3, 3, 3, 1, 2, 1, 1, 3, 1, 1, 3, 2, 4, 0, 4, 1, 4, 2, 4, 3, 0, 1, 2, 4, 0, 1, 1, 0, 0, 2, 2, 3, 1, 0, 1, 2, 1, 4, 0, 0, 2, 3, 0, 3, 2, 3, 3, 3, 3, 2, 2, 4, 3, 2, 0, 4, 2, 1, 3, 4, 2, 0, 2, 4, 3, 1, 4, 0, 3, 4, 0, 3, 3, 1, 2, 3, 0, 4, 3, 0, 0, 1, 2, 1, 0, 4, 4, 3, 1, 3, 0, 3, 0, 1, 4, 2, 2, 4, 3, 3, 0, 2, 2, 3, 2, 3, 1, 3, 4, 3, 3, 2, 1, 4, 3, 4, 3, 1, 2, 2, 2, 2, 3, 3, 3, 1, 0, 4, 3, 3, 2, 2, 4, 4, 0, 1, 1, 4, 0, 1, 3, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 4, 3, 4, 1, 0, 0, 1, 1, 0, 4, 3, 0, 1, 3, 2, 3, 4, 1, 3, 4, 3, 2, 2, 2, 4] pubkeycol1335 = [3, 3, 4, 1, 1, 0, 1, 0, 1, 1, 0, 4, 3, 0, 1, 4, 0, 0, 0, 1, 0, 3, 4, 0, 4, 0, 3, 4, 3, 2, 1, 0, 4, 1, 0, 3, 0, 4, 1, 1, 2, 2, 0, 0, 3, 3, 1, 4, 0, 2, 3, 0, 1, 3, 4, 1, 1, 1, 3, 2, 0, 0, 4, 3, 0, 2, 3, 0, 4, 0, 4, 2, 0, 3, 3, 1, 2, 0, 4, 1, 3, 1, 0, 3, 2, 3, 4, 2, 2, 0, 0, 3, 2, 3, 4, 1, 3, 4, 4, 2, 4, 2, 0, 2, 1, 4, 4, 4, 1, 3, 4, 0, 0, 3, 2, 4, 4, 0, 1, 2, 4, 4, 4, 1, 3, 4, 0, 1, 1, 2, 4, 0, 2, 4, 4, 2, 0, 2, 0, 2, 2, 0, 2, 2, 4, 3, 2, 1, 4, 0, 3, 0, 2, 1, 1, 2, 2, 0, 4, 4, 4, 3, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 4, 0, 4, 4, 0, 3, 0, 1, 1, 4, 0, 4, 1, 0, 4, 4, 0, 0, 3, 1, 1, 3, 0, 1, 2, 4, 0, 1, 2, 2, 3, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 4, 0, 3, 2, 4, 1, 0, 3, 3, 0, 0, 2, 3, 1, 1, 2, 0, 0, 1, 0, 3, 3, 3, 4, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 3, 4, 2, 3, 4, 3, 3, 4, 1, 3, 0, 4, 3, 0, 3, 0, 0, 4, 4, 1, 4, 4, 4, 2, 1, 4, 4, 2, 0, 0, 3, 2, 0, 0, 4, 1, 0, 2, 4, 0, 4, 3, 2, 4, 2, 4, 4, 2, 0, 4, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 3, 4, 0, 1, 2, 3, 1, 3, 2, 4, 0, 3, 3, 1, 4, 4, 0, 2, 0, 4, 0, 2, 1, 3, 1, 1, 4, 0, 3, 3, 1, 4, 1, 2, 3, 3, 0, 0, 4, 0, 3, 1, 4, 2, 4, 2, 3, 0, 0, 1, 2, 0, 3, 4, 1, 3, 1, 4, 4, 0, 3, 2, 3, 4, 2, 4, 4, 1, 3, 2, 1, 2, 1, 0, 3, 4, 2, 2, 1, 1, 0, 0, 4, 0, 2, 1, 3, 4, 1, 1, 1, 4, 0, 0, 0, 1, 2, 4, 2, 3, 2, 0, 4, 4, 3, 0, 3, 0, 3, 2, 2, 3, 3, 0, 4, 4, 2, 2, 0, 1, 0, 3, 3, 1, 4, 2, 2, 1, 0, 2, 4, 1, 3, 1, 0, 1, 3, 3, 4, 3, 3, 4, 0, 0, 0, 4, 1, 0, 3, 2, 4, 4, 4, 3, 4, 1, 4, 4, 2, 0, 3, 3, 2, 0, 4, 0, 0, 1, 4, 0, 0] pubkeycol1336 = [0, 4, 1, 1, 4, 1, 0, 3, 4, 1, 1, 2, 3, 0, 3, 2, 4, 2, 0, 4, 3, 4, 0, 1, 3, 0, 1, 2, 1, 2, 1, 4, 0, 3, 0, 4, 0, 0, 2, 4, 0, 4, 3, 3, 1, 1, 0, 1, 2, 2, 2, 4, 2, 2, 3, 4, 2, 4, 4, 3, 0, 0, 1, 2, 3, 0, 4, 0, 3, 0, 3, 3, 0, 2, 4, 3, 0, 2, 2, 4, 4, 2, 4, 2, 3, 0, 1, 4, 2, 1, 1, 0, 0, 1, 4, 0, 1, 4, 0, 0, 1, 1, 1, 3, 1, 2, 4, 3, 4, 1, 1, 4, 4, 2, 4, 3, 0, 4, 2, 0, 4, 0, 4, 1, 4, 3, 3, 4, 0, 2, 2, 4, 2, 0, 3, 2, 2, 0, 2, 0, 4, 0, 4, 2, 1, 4, 3, 0, 3, 2, 3, 0, 1, 0, 3, 2, 3, 0, 2, 1, 2, 4, 3, 0, 4, 1, 3, 2, 3, 4, 2, 0, 3, 3, 3, 2, 3, 4, 1, 0, 3, 0, 1, 2, 4, 4, 0, 3, 0, 2, 1, 3, 0, 3, 0, 4, 1, 1, 0, 4, 1, 0, 1, 3, 0, 2, 0, 3, 4, 4, 1, 0, 0, 0, 2, 0, 2, 3, 0, 0, 0, 4, 4, 2, 2, 2, 4, 4, 4, 1, 0, 1, 1, 2, 0, 0, 3, 4, 4, 3, 4, 4, 2, 4, 3, 4, 1, 4, 2, 4, 3, 4, 4, 3, 4, 0, 0, 1, 1, 0, 2, 4, 4, 1, 0, 1, 0, 3, 1, 1, 2, 4, 1, 1, 2, 1, 4, 2, 4, 2, 4, 4, 4, 1, 0, 4, 4, 1, 4, 2, 4, 4, 1, 2, 1, 2, 3, 1, 3, 1, 3, 4, 0, 2, 4, 1, 4, 2, 2, 2, 3, 3, 4, 1, 1, 2, 4, 4, 2, 3, 4, 2, 2, 1, 3, 0, 4, 0, 2, 0, 3, 1, 1, 1, 0, 2, 4, 0, 3, 0, 1, 1, 3, 2, 4, 4, 4, 4, 1, 2, 1, 1, 0, 3, 3, 4, 2, 4, 1, 4, 0, 1, 4, 0, 1, 4, 3, 0, 3, 2, 3, 2, 0, 4, 4, 3, 0, 3, 4, 0, 0, 0, 3, 2, 0, 3, 1, 2, 1, 0, 4, 1, 0, 0, 1, 3, 1, 3, 3, 0, 2, 2, 4, 2, 3, 0, 0, 4, 2, 4, 3, 3, 0, 1, 0, 2, 3, 2, 0, 4, 2, 2, 2, 4, 1, 1, 2, 3, 2, 3, 4, 3, 0, 3, 3, 2, 4, 4, 4, 3, 3, 1, 2, 2, 0, 4, 2, 3, 2, 1, 1, 2, 4, 0, 0, 3, 2, 1, 1, 0, 3, 2, 1, 2, 3, 0, 3, 0, 1, 3, 3, 3, 4, 4, 3, 4, 3, 4, 2, 4] pubkeycol1337 = [3, 1, 4, 1, 3, 1, 0, 0, 1, 4, 0, 0, 2, 1, 2, 1, 0, 4, 3, 1, 1, 1, 2, 2, 4, 0, 0, 2, 4, 3, 4, 3, 3, 1, 3, 4, 2, 4, 0, 0, 4, 0, 4, 2, 2, 3, 3, 1, 4, 4, 4, 3, 2, 3, 4, 3, 0, 2, 0, 4, 0, 1, 4, 1, 3, 2, 3, 4, 3, 2, 2, 3, 4, 4, 2, 4, 1, 3, 1, 2, 4, 1, 3, 2, 4, 2, 4, 4, 1, 3, 0, 0, 4, 0, 4, 4, 3, 1, 2, 1, 0, 0, 4, 4, 4, 0, 3, 3, 4, 3, 1, 4, 0, 3, 0, 4, 4, 0, 2, 3, 0, 0, 0, 1, 3, 2, 0, 1, 2, 0, 1, 4, 0, 1, 2, 4, 3, 0, 4, 1, 4, 0, 1, 4, 3, 4, 1, 1, 4, 1, 4, 1, 0, 4, 4, 2, 3, 4, 2, 2, 4, 0, 3, 0, 3, 1, 2, 3, 2, 1, 1, 0, 4, 4, 1, 3, 2, 2, 4, 3, 0, 2, 2, 1, 4, 0, 0, 3, 4, 4, 1, 2, 1, 2, 3, 2, 2, 0, 2, 0, 2, 0, 3, 2, 3, 4, 4, 0, 4, 2, 4, 3, 1, 1, 4, 4, 0, 2, 3, 1, 3, 1, 4, 2, 0, 1, 4, 3, 1, 1, 1, 1, 1, 2, 3, 1, 0, 2, 3, 0, 1, 3, 0, 3, 2, 4, 4, 3, 2, 0, 0, 2, 2, 3, 0, 3, 1, 4, 2, 3, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 3, 3, 3, 4, 1, 1, 4, 1, 2, 2, 3, 3, 0, 1, 3, 4, 4, 4, 0, 3, 0, 2, 4, 2, 3, 1, 1, 1, 0, 3, 2, 4, 0, 3, 0, 2, 1, 2, 0, 3, 2, 4, 4, 4, 1, 1, 0, 0, 3, 2, 3, 1, 4, 3, 4, 2, 3, 0, 2, 3, 0, 1, 4, 1, 3, 3, 1, 1, 0, 1, 4, 2, 3, 1, 3, 0, 1, 2, 1, 2, 3, 0, 0, 2, 4, 4, 1, 4, 4, 3, 3, 0, 1, 3, 0, 3, 0, 3, 3, 3, 0, 2, 2, 3, 0, 3, 4, 4, 3, 3, 1, 3, 1, 2, 0, 1, 4, 4, 2, 4, 0, 0, 0, 1, 3, 3, 2, 1, 4, 3, 2, 1, 3, 3, 0, 4, 2, 2, 4, 0, 3, 4, 4, 4, 0, 0, 1, 1, 4, 1, 1, 1, 4, 4, 2, 0, 0, 1, 4, 3, 3, 1, 4, 1, 2, 3, 3, 1, 2, 2, 2, 3, 2, 4, 1, 3, 4, 4, 3, 3, 1, 2, 1, 0, 3, 0, 2, 4, 3, 2, 1, 1, 3, 0, 3, 0, 2, 1, 3, 0, 2, 2, 4, 2, 0, 2, 2, 4, 1] pubkeycol1338 = [1, 0, 2, 0, 1, 4, 1, 2, 1, 2, 2, 0, 0, 1, 4, 4, 3, 4, 2, 4, 1, 0, 0, 2, 4, 0, 2, 2, 2, 3, 1, 4, 2, 0, 1, 1, 2, 1, 4, 3, 0, 3, 0, 1, 0, 3, 1, 2, 0, 0, 0, 2, 3, 2, 2, 2, 0, 4, 1, 3, 1, 1, 4, 0, 0, 1, 1, 2, 0, 3, 1, 2, 2, 1, 4, 0, 2, 2, 4, 1, 2, 2, 1, 0, 2, 1, 2, 4, 3, 3, 2, 4, 1, 2, 3, 2, 3, 1, 4, 0, 0, 0, 0, 3, 1, 4, 3, 0, 3, 3, 2, 0, 0, 1, 0, 0, 2, 1, 3, 1, 2, 3, 3, 0, 3, 2, 3, 2, 1, 2, 3, 1, 0, 3, 3, 2, 3, 4, 2, 1, 4, 2, 2, 1, 4, 2, 0, 4, 1, 2, 3, 1, 1, 3, 1, 0, 0, 2, 3, 4, 1, 1, 1, 2, 1, 0, 2, 2, 3, 3, 0, 0, 4, 1, 4, 2, 4, 1, 4, 3, 1, 1, 4, 1, 0, 1, 3, 2, 1, 3, 0, 3, 0, 2, 1, 0, 0, 1, 3, 1, 0, 4, 2, 4, 4, 3, 3, 1, 2, 2, 3, 3, 1, 2, 3, 0, 1, 2, 3, 0, 4, 3, 0, 2, 4, 1, 1, 2, 3, 1, 0, 3, 0, 1, 3, 0, 0, 3, 1, 3, 3, 0, 4, 3, 4, 4, 2, 1, 4, 0, 3, 3, 2, 4, 0, 4, 1, 4, 4, 0, 2, 3, 0, 2, 4, 4, 0, 0, 0, 3, 0, 0, 1, 1, 0, 0, 2, 4, 3, 2, 1, 1, 1, 3, 4, 0, 1, 0, 3, 0, 0, 3, 3, 1, 2, 3, 3, 2, 0, 3, 0, 4, 0, 4, 1, 2, 1, 1, 3, 3, 3, 2, 3, 0, 2, 2, 2, 0, 3, 1, 2, 0, 1, 2, 2, 4, 2, 2, 3, 1, 0, 1, 1, 4, 4, 3, 1, 2, 0, 2, 4, 4, 1, 2, 3, 1, 3, 3, 0, 3, 0, 2, 0, 0, 3, 3, 2, 3, 1, 2, 0, 2, 1, 0, 2, 0, 4, 1, 0, 4, 4, 3, 3, 2, 0, 4, 2, 1, 3, 4, 0, 1, 4, 0, 3, 0, 1, 0, 1, 0, 0, 3, 4, 4, 0, 1, 3, 3, 2, 4, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 4, 3, 4, 3, 2, 1, 1, 1, 0, 2, 2, 3, 2, 1, 3, 3, 1, 0, 0, 2, 2, 3, 4, 0, 2, 0, 2, 4, 0, 0, 4, 4, 4, 2, 4, 1, 3, 0, 3, 2, 3, 0, 1, 4, 0, 2, 2, 4, 1, 3, 0, 4, 1, 3, 0, 2, 1, 3, 4, 2, 2, 1, 3, 3, 2, 2, 1, 4, 4, 3] pubkeycol1339 = [1, 0, 3, 2, 2, 3, 4, 2, 4, 4, 4, 4, 4, 4, 0, 3, 4, 2, 0, 3, 2, 0, 1, 4, 4, 3, 0, 0, 0, 1, 1, 4, 4, 1, 4, 1, 0, 2, 1, 4, 1, 2, 1, 2, 3, 4, 4, 2, 1, 1, 0, 2, 3, 0, 4, 1, 4, 3, 2, 2, 1, 2, 3, 3, 0, 2, 1, 4, 4, 1, 4, 4, 0, 0, 1, 3, 0, 1, 2, 2, 1, 1, 3, 1, 3, 1, 0, 1, 2, 3, 4, 4, 1, 3, 4, 1, 3, 2, 3, 0, 3, 0, 1, 4, 2, 3, 0, 4, 4, 1, 0, 3, 3, 3, 0, 3, 3, 1, 4, 0, 2, 1, 3, 0, 0, 3, 3, 4, 2, 2, 1, 1, 2, 2, 2, 2, 3, 4, 1, 2, 0, 0, 0, 2, 0, 3, 3, 2, 2, 0, 4, 4, 3, 4, 2, 0, 2, 2, 0, 1, 3, 2, 3, 1, 0, 4, 1, 2, 2, 4, 4, 0, 2, 2, 3, 3, 3, 2, 0, 4, 1, 4, 3, 2, 2, 1, 3, 1, 3, 1, 0, 2, 1, 1, 4, 1, 0, 3, 3, 3, 3, 4, 4, 3, 0, 1, 4, 1, 1, 3, 2, 4, 3, 3, 3, 4, 2, 3, 0, 3, 3, 2, 0, 4, 0, 4, 4, 1, 0, 1, 4, 4, 1, 3, 3, 3, 2, 3, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 3, 4, 2, 1, 2, 2, 3, 1, 3, 2, 4, 2, 4, 0, 1, 4, 0, 2, 4, 4, 1, 0, 1, 2, 4, 2, 2, 1, 2, 1, 4, 0, 2, 4, 2, 2, 3, 3, 3, 2, 2, 0, 3, 0, 1, 3, 4, 0, 0, 3, 3, 0, 0, 1, 1, 4, 3, 2, 0, 2, 3, 2, 0, 0, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 4, 0, 0, 4, 0, 2, 2, 1, 1, 0, 3, 3, 0, 1, 2, 1, 2, 0, 2, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 2, 3, 2, 4, 2, 1, 0, 3, 3, 0, 3, 0, 0, 2, 4, 3, 1, 2, 0, 4, 1, 1, 0, 0, 4, 1, 4, 1, 3, 2, 1, 1, 3, 4, 4, 1, 3, 1, 4, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 2, 2, 4, 4, 0, 3, 4, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 4, 2, 2, 2, 0, 1, 3, 1, 1, 4, 4, 2, 4, 3, 3, 1, 1, 3, 4, 3, 2, 3, 4, 3, 3, 4, 1, 2, 4, 3, 0, 3, 0, 3, 4, 4, 4, 1, 0, 0, 4, 2, 3, 0, 3, 3, 0, 0, 3, 0, 4, 4, 4, 1, 2, 2, 4] pubkeycol1340 = [2, 2, 2, 1, 4, 3, 1, 4, 2, 4, 0, 0, 0, 0, 0, 1, 3, 3, 4, 4, 3, 2, 3, 2, 4, 2, 1, 4, 4, 3, 4, 0, 0, 4, 3, 0, 2, 3, 0, 4, 3, 1, 0, 0, 3, 3, 0, 0, 4, 3, 2, 3, 2, 1, 3, 4, 3, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 4, 1, 1, 4, 4, 2, 0, 2, 1, 0, 1, 3, 0, 3, 3, 1, 3, 1, 0, 0, 3, 0, 0, 4, 2, 1, 2, 0, 0, 0, 1, 1, 4, 2, 4, 3, 1, 2, 2, 0, 1, 2, 4, 0, 3, 0, 4, 1, 0, 3, 2, 0, 1, 4, 2, 3, 1, 4, 2, 2, 1, 0, 0, 3, 1, 3, 2, 0, 2, 0, 2, 0, 1, 4, 1, 3, 0, 0, 3, 0, 2, 0, 1, 2, 2, 2, 0, 4, 1, 0, 2, 3, 1, 4, 3, 3, 1, 2, 3, 1, 1, 2, 3, 4, 1, 2, 2, 0, 2, 4, 1, 2, 0, 0, 1, 2, 1, 3, 0, 3, 1, 1, 1, 1, 0, 1, 4, 0, 1, 0, 4, 3, 0, 0, 4, 1, 4, 1, 0, 2, 3, 3, 2, 0, 3, 2, 4, 3, 0, 0, 1, 1, 0, 2, 4, 0, 4, 3, 1, 0, 4, 2, 1, 1, 1, 4, 4, 3, 0, 0, 2, 0, 2, 2, 3, 1, 3, 1, 3, 4, 4, 3, 2, 3, 3, 3, 0, 4, 2, 1, 2, 1, 4, 2, 1, 0, 2, 3, 2, 1, 2, 2, 2, 3, 0, 0, 2, 1, 0, 4, 1, 3, 2, 1, 2, 1, 0, 2, 2, 1, 4, 4, 3, 3, 0, 1, 1, 3, 1, 4, 0, 4, 0, 0, 3, 2, 3, 1, 1, 0, 1, 0, 4, 4, 2, 1, 2, 0, 0, 0, 4, 3, 2, 0, 4, 2, 1, 4, 4, 3, 2, 4, 3, 3, 3, 0, 3, 0, 1, 3, 1, 1, 2, 2, 4, 4, 3, 0, 1, 2, 3, 2, 3, 3, 2, 4, 0, 1, 2, 0, 4, 2, 4, 3, 0, 4, 0, 2, 0, 1, 4, 4, 1, 4, 0, 0, 4, 1, 3, 3, 2, 4, 0, 4, 1, 4, 3, 4, 3, 2, 4, 2, 3, 0, 4, 3, 3, 4, 3, 1, 2, 3, 4, 4, 4, 4, 3, 2, 4, 1, 0, 3, 0, 1, 4, 0, 4, 0, 1, 3, 4, 2, 2, 1, 2, 0, 4, 1, 2, 3, 3, 4, 0, 4, 0, 3, 2, 3, 4, 4, 2, 2, 2, 4, 2, 0, 4, 4, 1, 1, 3, 0, 4, 2, 0, 4, 1, 3, 2, 1, 4, 2, 4, 2, 3, 4, 1, 1, 4, 0, 2, 4, 0, 3, 0, 0, 1, 1, 4, 0, 4, 3, 0] pubkeycol1341 = [1, 4, 2, 4, 4, 4, 2, 0, 3, 4, 0, 0, 0, 3, 2, 0, 0, 3, 2, 2, 4, 1, 0, 1, 4, 2, 1, 1, 2, 1, 2, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 4, 4, 1, 1, 1, 0, 1, 4, 0, 3, 1, 1, 3, 4, 0, 3, 3, 2, 2, 3, 1, 3, 0, 3, 2, 1, 4, 4, 2, 2, 1, 1, 1, 0, 1, 4, 1, 4, 2, 4, 3, 1, 2, 0, 2, 2, 1, 0, 3, 3, 1, 1, 2, 2, 2, 3, 1, 3, 4, 2, 3, 1, 3, 4, 2, 1, 1, 0, 0, 0, 2, 0, 4, 3, 2, 2, 4, 0, 4, 1, 1, 3, 0, 4, 4, 1, 0, 1, 1, 1, 1, 3, 3, 0, 0, 3, 1, 1, 0, 0, 4, 4, 1, 3, 2, 3, 3, 4, 3, 2, 3, 4, 2, 1, 1, 3, 0, 4, 1, 3, 1, 3, 1, 1, 2, 0, 1, 4, 2, 0, 1, 1, 3, 0, 2, 4, 1, 2, 3, 1, 0, 2, 4, 0, 2, 1, 0, 0, 0, 1, 3, 0, 0, 2, 1, 4, 4, 3, 2, 2, 1, 1, 3, 2, 0, 3, 3, 2, 0, 3, 0, 4, 2, 0, 0, 1, 2, 1, 4, 2, 1, 3, 1, 4, 4, 2, 4, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 4, 2, 1, 2, 3, 0, 3, 3, 3, 1, 0, 4, 4, 2, 4, 0, 3, 3, 2, 4, 0, 3, 2, 0, 3, 0, 3, 4, 2, 4, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 2, 3, 2, 1, 1, 0, 0, 0, 3, 4, 3, 3, 4, 4, 4, 2, 1, 0, 1, 0, 4, 1, 2, 2, 1, 4, 4, 1, 2, 1, 0, 4, 4, 3, 2, 4, 2, 4, 2, 2, 1, 4, 2, 2, 4, 1, 2, 4, 0, 2, 3, 4, 2, 2, 2, 0, 1, 4, 1, 1, 1, 1, 1, 3, 0, 4, 2, 0, 1, 4, 3, 1, 4, 2, 4, 1, 0, 0, 2, 2, 3, 1, 3, 4, 1, 3, 1, 2, 3, 3, 3, 0, 0, 2, 4, 1, 2, 2, 2, 1, 1, 1, 1, 4, 1, 2, 4, 2, 2, 2, 2, 2, 3, 4, 0, 2, 4, 1, 3, 4, 4, 4, 2, 2, 3, 1, 3, 2, 0, 4, 1, 0, 0, 3, 3, 2, 3, 0, 3, 1, 1, 1, 4, 3, 1, 3, 3, 1, 0, 3, 4, 4, 4, 3, 4, 1, 1, 1, 0, 2, 4, 4, 3, 0, 2, 0, 4, 3, 0, 0, 3, 4, 1, 0, 1, 0, 0, 2, 4, 1, 3, 2, 1, 3, 2, 3, 1, 2, 0, 1, 4, 0, 1, 3, 2, 2, 1, 3, 4, 0, 1, 4] pubkeycol1342 = [3, 3, 3, 4, 0, 2, 0, 3, 1, 3, 3, 2, 1, 2, 2, 1, 0, 0, 2, 2, 3, 4, 3, 2, 1, 1, 0, 1, 4, 0, 3, 4, 1, 4, 1, 2, 1, 4, 0, 0, 3, 4, 4, 3, 4, 4, 2, 1, 2, 4, 0, 2, 4, 0, 2, 0, 3, 0, 1, 2, 4, 0, 4, 3, 2, 4, 3, 2, 2, 3, 1, 3, 2, 4, 4, 2, 3, 3, 2, 1, 4, 3, 1, 4, 3, 2, 3, 3, 1, 2, 0, 0, 0, 4, 4, 4, 0, 1, 2, 3, 1, 3, 4, 2, 1, 0, 0, 0, 3, 3, 1, 4, 2, 0, 4, 2, 1, 4, 0, 0, 0, 3, 2, 4, 3, 2, 2, 3, 2, 1, 2, 1, 1, 4, 0, 0, 3, 2, 0, 2, 0, 4, 0, 3, 0, 0, 2, 4, 1, 1, 0, 2, 0, 4, 1, 3, 0, 3, 2, 1, 4, 4, 4, 3, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 1, 4, 0, 1, 3, 2, 4, 2, 2, 0, 0, 3, 4, 0, 2, 3, 0, 0, 2, 3, 0, 2, 0, 3, 0, 2, 0, 2, 0, 3, 4, 1, 1, 1, 3, 0, 0, 0, 3, 2, 3, 4, 2, 2, 2, 1, 1, 2, 3, 2, 1, 4, 0, 2, 0, 1, 2, 2, 4, 4, 2, 1, 2, 0, 0, 3, 0, 0, 3, 2, 1, 1, 3, 0, 0, 1, 0, 2, 1, 4, 4, 4, 3, 1, 0, 3, 1, 4, 2, 4, 3, 0, 0, 4, 2, 4, 4, 2, 2, 3, 2, 1, 0, 4, 2, 1, 4, 4, 3, 2, 1, 3, 3, 1, 4, 3, 0, 1, 2, 0, 2, 3, 4, 2, 0, 0, 4, 4, 4, 0, 3, 1, 1, 2, 4, 3, 4, 1, 2, 0, 0, 0, 2, 4, 2, 4, 3, 2, 0, 3, 0, 2, 1, 1, 4, 0, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 2, 0, 2, 4, 2, 0, 2, 2, 3, 1, 4, 2, 4, 2, 0, 0, 2, 4, 2, 2, 3, 3, 0, 2, 4, 4, 4, 3, 1, 2, 1, 0, 4, 0, 2, 3, 2, 2, 1, 2, 2, 4, 1, 0, 1, 3, 2, 2, 4, 2, 3, 4, 3, 1, 2, 2, 4, 2, 3, 4, 3, 2, 1, 3, 3, 3, 4, 2, 4, 0, 4, 1, 2, 2, 0, 3, 0, 3, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 3, 3, 0, 3, 3, 4, 2, 1, 2, 1, 1, 0, 3, 2, 0, 3, 3, 0, 4, 3, 4, 4, 2, 1, 3, 4, 1, 4, 2, 1, 0, 1, 1, 4, 3, 4, 2, 0, 0, 0, 4, 4, 1, 1, 0, 1, 1, 3, 1, 0, 2] pubkeycol1343 = [0, 4, 4, 4, 2, 3, 4, 0, 4, 2, 4, 1, 2, 4, 0, 0, 4, 2, 2, 4, 1, 4, 4, 4, 0, 1, 3, 3, 2, 4, 1, 4, 0, 2, 0, 3, 0, 1, 2, 4, 2, 2, 3, 1, 1, 1, 4, 1, 4, 0, 0, 4, 2, 4, 2, 4, 1, 1, 1, 2, 4, 1, 3, 0, 0, 3, 1, 2, 3, 1, 2, 0, 3, 1, 3, 4, 3, 4, 0, 1, 2, 0, 1, 0, 3, 4, 0, 3, 3, 3, 0, 4, 2, 4, 3, 3, 1, 0, 2, 4, 3, 2, 4, 3, 4, 2, 0, 3, 0, 0, 1, 1, 2, 4, 0, 1, 4, 4, 3, 2, 1, 3, 0, 4, 0, 1, 3, 2, 3, 1, 1, 3, 0, 3, 1, 4, 2, 4, 0, 3, 1, 3, 3, 4, 3, 2, 1, 3, 3, 0, 4, 0, 4, 2, 3, 0, 0, 4, 1, 1, 4, 2, 4, 4, 0, 0, 3, 2, 3, 4, 0, 3, 2, 4, 2, 0, 2, 4, 1, 0, 1, 0, 3, 4, 0, 2, 2, 4, 4, 1, 4, 2, 2, 3, 4, 4, 2, 3, 2, 0, 0, 2, 1, 2, 4, 0, 4, 0, 4, 0, 1, 0, 4, 4, 1, 3, 2, 0, 4, 2, 3, 3, 2, 1, 4, 0, 2, 2, 1, 2, 1, 2, 3, 2, 1, 3, 1, 4, 2, 3, 2, 2, 3, 4, 2, 1, 2, 3, 1, 4, 0, 1, 0, 0, 3, 1, 4, 2, 0, 1, 3, 1, 2, 3, 0, 1, 2, 1, 2, 2, 4, 1, 1, 1, 4, 0, 0, 4, 4, 0, 1, 3, 3, 4, 4, 2, 2, 0, 1, 4, 3, 1, 4, 0, 1, 2, 3, 1, 2, 2, 1, 3, 4, 0, 0, 0, 0, 0, 1, 4, 3, 0, 1, 4, 1, 2, 3, 1, 0, 4, 2, 4, 2, 1, 2, 4, 2, 0, 0, 3, 2, 2, 0, 3, 3, 4, 1, 0, 3, 3, 0, 4, 4, 3, 0, 3, 0, 1, 0, 1, 4, 3, 3, 3, 0, 2, 0, 1, 2, 4, 4, 4, 2, 0, 3, 2, 3, 2, 2, 3, 0, 4, 1, 4, 2, 0, 0, 1, 0, 0, 0, 4, 4, 0, 3, 3, 2, 3, 1, 3, 1, 0, 1, 4, 1, 3, 0, 1, 0, 0, 2, 3, 1, 2, 4, 1, 1, 4, 2, 1, 1, 2, 4, 4, 1, 2, 1, 0, 1, 2, 2, 4, 4, 0, 2, 2, 3, 2, 4, 3, 4, 2, 1, 4, 4, 3, 3, 0, 4, 2, 4, 3, 4, 3, 3, 2, 3, 2, 2, 3, 0, 1, 0, 1, 3, 3, 0, 1, 2, 1, 3, 2, 3, 3, 4, 0, 3, 3, 0, 0, 2, 4, 2, 0, 0, 4, 3, 3, 4, 2] pubkeycol1344 = [0, 2, 4, 3, 1, 4, 4, 4, 3, 2, 2, 3, 4, 3, 2, 2, 0, 0, 0, 4, 2, 1, 2, 2, 2, 3, 4, 2, 4, 1, 0, 0, 0, 3, 0, 3, 2, 3, 2, 4, 3, 3, 1, 0, 3, 2, 4, 0, 0, 4, 4, 1, 4, 2, 4, 0, 2, 3, 4, 0, 3, 4, 1, 1, 3, 0, 4, 4, 2, 4, 1, 3, 4, 3, 2, 2, 1, 4, 1, 3, 4, 4, 4, 1, 2, 3, 4, 4, 2, 0, 0, 0, 2, 0, 3, 2, 2, 2, 4, 2, 4, 3, 2, 4, 4, 4, 3, 0, 3, 3, 0, 3, 4, 1, 0, 1, 1, 0, 1, 4, 3, 3, 3, 1, 2, 0, 3, 3, 2, 0, 2, 2, 2, 2, 3, 2, 2, 2, 1, 4, 0, 0, 0, 4, 0, 2, 2, 0, 4, 4, 1, 4, 3, 0, 4, 2, 0, 4, 3, 1, 3, 2, 3, 0, 4, 0, 4, 4, 2, 3, 2, 2, 2, 1, 0, 3, 1, 0, 3, 0, 1, 3, 3, 2, 1, 4, 0, 1, 0, 1, 3, 1, 4, 0, 0, 0, 0, 2, 2, 2, 3, 0, 1, 0, 2, 0, 4, 4, 3, 1, 3, 0, 3, 1, 2, 1, 0, 4, 4, 0, 1, 0, 0, 4, 2, 1, 4, 3, 0, 2, 2, 0, 2, 3, 2, 1, 2, 1, 1, 4, 2, 0, 4, 2, 3, 3, 4, 2, 1, 3, 1, 0, 0, 2, 1, 1, 2, 1, 3, 0, 3, 0, 3, 3, 1, 2, 1, 1, 3, 4, 4, 2, 2, 0, 3, 4, 0, 1, 1, 0, 2, 3, 1, 4, 0, 2, 2, 1, 2, 2, 0, 3, 2, 0, 3, 3, 0, 0, 3, 4, 2, 4, 3, 3, 4, 1, 2, 0, 4, 0, 1, 1, 1, 4, 1, 0, 2, 1, 1, 1, 4, 4, 4, 0, 4, 1, 2, 1, 3, 3, 4, 3, 0, 2, 4, 3, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 4, 1, 2, 1, 3, 4, 0, 3, 4, 1, 4, 3, 0, 3, 0, 4, 4, 1, 3, 2, 0, 0, 0, 2, 2, 2, 4, 2, 3, 1, 3, 4, 4, 3, 3, 1, 0, 0, 4, 2, 2, 0, 4, 2, 3, 0, 4, 3, 4, 1, 4, 4, 4, 4, 4, 3, 4, 4, 0, 0, 4, 1, 1, 1, 0, 3, 0, 3, 2, 4, 3, 1, 2, 4, 3, 3, 2, 3, 2, 4, 2, 2, 3, 1, 2, 4, 2, 0, 2, 2, 3, 4, 0, 1, 3, 4, 4, 1, 2, 4, 0, 0, 1, 1, 1, 1, 1, 0, 1, 3, 1, 1, 0, 2, 2, 3, 2, 4, 0, 4, 1, 2, 4, 3, 4, 3, 1, 3, 4, 4, 3, 3, 4] pubkeycol1345 = [4, 1, 4, 1, 2, 2, 1, 4, 2, 2, 3, 3, 1, 1, 3, 0, 3, 0, 0, 1, 2, 1, 4, 4, 1, 1, 2, 4, 3, 3, 4, 4, 0, 1, 4, 3, 3, 4, 2, 0, 3, 3, 4, 3, 1, 2, 0, 4, 1, 0, 2, 0, 3, 4, 4, 0, 4, 3, 3, 0, 1, 4, 2, 3, 0, 3, 1, 0, 2, 3, 1, 2, 0, 3, 2, 2, 1, 2, 3, 0, 3, 2, 2, 0, 3, 2, 4, 1, 4, 2, 2, 4, 4, 0, 0, 0, 4, 4, 2, 0, 4, 2, 1, 3, 3, 1, 4, 2, 3, 0, 3, 0, 1, 1, 1, 2, 0, 4, 1, 1, 0, 2, 1, 2, 4, 0, 1, 1, 0, 0, 3, 4, 2, 0, 1, 1, 2, 0, 1, 0, 0, 3, 0, 1, 1, 2, 3, 2, 4, 3, 4, 3, 3, 0, 3, 0, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 4, 2, 2, 0, 1, 0, 4, 3, 1, 1, 4, 3, 0, 0, 2, 3, 3, 2, 0, 1, 1, 3, 1, 3, 0, 4, 1, 2, 2, 3, 4, 3, 3, 1, 4, 4, 2, 3, 2, 3, 4, 4, 2, 4, 4, 2, 2, 4, 2, 4, 2, 2, 1, 3, 4, 2, 3, 3, 2, 4, 1, 1, 4, 0, 2, 3, 1, 0, 2, 0, 1, 4, 3, 2, 2, 1, 1, 4, 4, 4, 1, 4, 4, 2, 0, 4, 0, 1, 3, 2, 2, 0, 0, 0, 3, 0, 0, 0, 1, 1, 3, 2, 0, 3, 3, 2, 4, 0, 1, 3, 1, 0, 2, 3, 3, 4, 2, 3, 0, 0, 4, 2, 1, 0, 0, 3, 1, 0, 2, 2, 3, 2, 4, 1, 3, 2, 2, 4, 0, 3, 4, 3, 3, 1, 3, 4, 3, 3, 4, 4, 4, 3, 3, 1, 3, 4, 2, 2, 2, 4, 3, 0, 3, 2, 4, 4, 1, 3, 1, 3, 1, 1, 3, 4, 2, 4, 0, 3, 0, 0, 1, 0, 0, 4, 1, 2, 3, 4, 0, 0, 1, 2, 0, 4, 4, 4, 2, 2, 1, 2, 0, 4, 1, 3, 2, 2, 2, 2, 4, 4, 2, 4, 4, 0, 4, 2, 2, 1, 3, 0, 1, 1, 4, 1, 2, 4, 2, 4, 3, 4, 4, 4, 2, 2, 2, 0, 4, 3, 2, 1, 0, 0, 4, 2, 1, 4, 3, 2, 4, 4, 1, 3, 3, 3, 0, 2, 0, 0, 3, 3, 2, 1, 2, 0, 3, 2, 2, 3, 4, 3, 4, 1, 0, 1, 1, 1, 0, 2, 2, 3, 3, 4, 3, 0, 4, 0, 0, 3, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 3, 0, 0, 2, 4, 1, 1, 2, 0, 2, 0, 0, 0, 4, 2, 0] pubkeycol1346 = [1, 1, 1, 0, 0, 0, 4, 2, 3, 1, 2, 2, 4, 0, 3, 2, 3, 2, 0, 1, 4, 3, 4, 2, 4, 4, 3, 1, 1, 1, 0, 3, 1, 2, 4, 2, 0, 1, 2, 1, 2, 0, 4, 0, 0, 2, 1, 4, 4, 2, 1, 1, 0, 4, 1, 1, 0, 2, 4, 2, 4, 4, 1, 3, 0, 2, 3, 2, 3, 4, 0, 0, 4, 3, 2, 4, 2, 2, 4, 0, 3, 3, 3, 4, 2, 2, 1, 3, 0, 3, 2, 2, 0, 2, 4, 2, 2, 2, 0, 4, 0, 3, 0, 0, 0, 3, 4, 1, 2, 3, 3, 1, 4, 0, 2, 1, 0, 1, 1, 3, 4, 1, 4, 1, 0, 4, 4, 2, 0, 2, 1, 1, 3, 0, 3, 4, 1, 1, 0, 2, 2, 3, 2, 2, 0, 2, 1, 3, 4, 1, 1, 3, 0, 0, 3, 1, 3, 4, 4, 4, 4, 3, 4, 4, 1, 2, 0, 3, 1, 4, 1, 0, 0, 1, 4, 3, 0, 3, 4, 3, 4, 4, 3, 0, 4, 3, 1, 3, 4, 2, 4, 1, 3, 0, 2, 3, 3, 1, 2, 2, 3, 0, 1, 4, 2, 2, 0, 0, 4, 1, 3, 3, 0, 0, 0, 4, 3, 1, 3, 4, 2, 0, 0, 2, 2, 4, 4, 2, 3, 3, 1, 2, 3, 3, 3, 2, 1, 1, 0, 1, 4, 3, 1, 4, 0, 3, 2, 0, 1, 0, 2, 1, 2, 4, 4, 4, 4, 1, 3, 1, 0, 0, 4, 0, 1, 0, 3, 2, 1, 0, 2, 0, 3, 2, 2, 3, 3, 4, 1, 0, 1, 4, 4, 3, 1, 1, 3, 2, 3, 3, 0, 0, 3, 1, 4, 4, 1, 2, 0, 3, 4, 0, 0, 2, 1, 0, 2, 2, 3, 4, 3, 3, 1, 2, 3, 2, 4, 0, 1, 2, 3, 1, 1, 4, 1, 0, 1, 4, 2, 4, 1, 3, 0, 0, 0, 4, 1, 1, 4, 3, 1, 2, 1, 4, 1, 4, 3, 4, 1, 1, 3, 4, 4, 4, 1, 4, 2, 4, 2, 3, 4, 0, 3, 1, 2, 4, 2, 4, 0, 1, 4, 2, 2, 1, 1, 2, 4, 0, 4, 4, 4, 3, 1, 3, 1, 4, 4, 1, 2, 3, 2, 3, 0, 1, 1, 1, 4, 4, 1, 1, 3, 1, 3, 3, 2, 2, 2, 4, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 4, 2, 1, 0, 2, 0, 1, 4, 1, 3, 4, 4, 0, 4, 3, 1, 4, 0, 2, 0, 4, 3, 4, 4, 0, 4, 1, 1, 1, 4, 4, 3, 3, 2, 3, 0, 3, 4, 3, 0, 1, 4, 1, 1, 4, 4, 4, 4, 3, 3, 3, 0, 4, 2, 3, 3, 0, 2, 0, 4, 4] pubkeycol1347 = [3, 2, 0, 0, 1, 3, 3, 0, 3, 1, 0, 2, 0, 2, 2, 0, 3, 0, 2, 4, 4, 4, 4, 1, 4, 0, 0, 3, 3, 4, 2, 2, 0, 4, 0, 3, 1, 1, 0, 0, 1, 1, 0, 3, 2, 0, 1, 4, 2, 0, 3, 0, 1, 0, 4, 1, 0, 4, 4, 4, 4, 4, 0, 0, 4, 3, 1, 3, 4, 0, 2, 0, 2, 2, 0, 2, 2, 4, 1, 1, 4, 3, 2, 0, 0, 0, 4, 3, 3, 2, 1, 2, 1, 4, 4, 3, 4, 4, 3, 0, 2, 1, 0, 2, 4, 4, 2, 2, 1, 4, 2, 4, 3, 2, 3, 2, 0, 4, 2, 4, 3, 0, 1, 0, 1, 2, 4, 4, 0, 0, 3, 4, 0, 1, 4, 4, 3, 1, 1, 1, 4, 3, 0, 3, 2, 3, 2, 3, 2, 1, 1, 4, 1, 2, 3, 4, 2, 1, 2, 1, 3, 4, 4, 0, 4, 4, 1, 0, 1, 4, 3, 0, 1, 0, 2, 0, 3, 3, 1, 1, 0, 1, 3, 1, 2, 1, 0, 0, 2, 2, 3, 4, 1, 1, 3, 1, 2, 3, 2, 2, 1, 4, 2, 4, 2, 0, 2, 0, 3, 1, 3, 1, 4, 1, 3, 4, 0, 1, 3, 4, 3, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 3, 0, 0, 2, 3, 1, 1, 4, 0, 4, 3, 3, 3, 1, 2, 4, 3, 2, 0, 2, 1, 0, 4, 1, 0, 0, 1, 0, 3, 1, 3, 1, 3, 1, 3, 0, 2, 4, 3, 1, 2, 0, 1, 1, 4, 4, 1, 1, 0, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 3, 3, 2, 1, 2, 0, 2, 3, 0, 1, 0, 4, 4, 3, 2, 2, 3, 1, 0, 4, 2, 1, 2, 3, 4, 2, 0, 4, 2, 4, 0, 1, 3, 4, 4, 4, 1, 4, 1, 3, 0, 3, 0, 1, 0, 2, 2, 0, 0, 4, 3, 2, 3, 0, 3, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 4, 4, 0, 1, 3, 0, 1, 4, 4, 2, 0, 0, 2, 2, 4, 4, 1, 2, 0, 3, 3, 3, 0, 4, 0, 4, 0, 2, 0, 1, 2, 4, 4, 1, 2, 2, 0, 2, 3, 0, 0, 1, 0, 2, 0, 3, 4, 1, 3, 4, 1, 3, 4, 4, 0, 1, 1, 3, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 3, 3, 1, 4, 3, 1, 1, 4, 1, 0, 3, 0, 3, 0, 2, 3, 2, 1, 0, 4, 1, 0, 2, 3, 4, 4, 2, 2, 1, 2, 4, 3, 0, 0, 2, 1, 1, 4, 0, 0, 3, 1, 0, 3, 3, 2, 4, 0, 3, 3, 4] pubkeycol1348 = [3, 2, 3, 3, 0, 3, 0, 1, 1, 2, 2, 2, 3, 0, 1, 1, 4, 0, 1, 3, 3, 1, 4, 4, 4, 4, 1, 2, 3, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 3, 0, 3, 1, 0, 2, 1, 2, 1, 4, 3, 1, 1, 4, 4, 3, 3, 2, 1, 3, 1, 3, 0, 3, 4, 2, 2, 1, 4, 3, 1, 1, 2, 4, 4, 1, 0, 2, 0, 3, 2, 4, 1, 2, 0, 1, 2, 3, 2, 0, 1, 2, 3, 4, 2, 2, 2, 2, 1, 2, 1, 3, 3, 2, 1, 1, 2, 4, 4, 0, 3, 0, 2, 4, 1, 2, 4, 1, 0, 2, 4, 4, 1, 0, 2, 3, 4, 0, 1, 0, 2, 4, 2, 3, 4, 2, 3, 0, 1, 0, 4, 4, 4, 0, 2, 3, 2, 1, 3, 3, 1, 0, 1, 0, 3, 4, 0, 3, 4, 2, 0, 1, 1, 3, 3, 2, 3, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 3, 3, 0, 3, 4, 3, 2, 2, 1, 3, 1, 1, 1, 4, 0, 2, 3, 1, 3, 1, 3, 3, 0, 2, 1, 2, 4, 0, 3, 4, 4, 1, 1, 2, 3, 3, 0, 4, 4, 3, 2, 1, 2, 2, 0, 2, 0, 4, 3, 0, 4, 2, 1, 1, 3, 4, 2, 1, 0, 1, 4, 3, 3, 0, 0, 0, 2, 0, 0, 0, 0, 4, 3, 3, 4, 2, 4, 2, 4, 0, 1, 0, 2, 1, 4, 4, 1, 1, 1, 3, 1, 4, 3, 0, 0, 1, 4, 1, 0, 3, 1, 4, 2, 1, 2, 0, 0, 0, 3, 2, 0, 2, 2, 3, 0, 1, 3, 3, 4, 1, 0, 4, 1, 3, 2, 3, 3, 4, 4, 0, 4, 3, 4, 0, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 0, 3, 1, 2, 2, 4, 0, 4, 3, 4, 1, 4, 0, 2, 3, 2, 4, 0, 3, 3, 4, 1, 0, 2, 1, 1, 3, 3, 1, 4, 1, 0, 2, 3, 1, 2, 0, 4, 2, 0, 0, 1, 1, 1, 4, 2, 3, 0, 1, 0, 4, 3, 4, 3, 0, 0, 4, 0, 3, 2, 0, 1, 2, 3, 2, 0, 1, 4, 0, 1, 3, 3, 4, 4, 2, 4, 4, 3, 1, 4, 3, 3, 4, 0, 3, 0, 3, 4, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 3, 2, 3, 1, 4, 1, 1, 2, 1, 2, 3, 0, 1, 3, 0, 0, 0, 2, 2, 0, 4, 2, 1, 1, 3, 0, 0, 0, 4, 0, 1, 3, 0, 4, 2, 2, 3, 0, 4, 1, 4, 3, 0, 3, 1, 0, 3, 2, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 2] pubkeycol1349 = [1, 1, 4, 4, 2, 4, 1, 2, 3, 0, 2, 0, 1, 3, 1, 1, 3, 2, 3, 2, 2, 4, 0, 0, 4, 2, 0, 1, 3, 3, 0, 3, 1, 0, 3, 1, 2, 1, 0, 2, 3, 2, 0, 4, 4, 1, 2, 2, 1, 1, 1, 0, 0, 4, 3, 3, 0, 2, 4, 2, 1, 3, 3, 3, 3, 0, 3, 1, 0, 1, 4, 4, 0, 3, 2, 1, 2, 2, 3, 2, 2, 1, 0, 4, 2, 4, 1, 3, 3, 2, 3, 2, 4, 4, 0, 1, 3, 0, 1, 3, 1, 4, 4, 3, 4, 0, 1, 0, 2, 4, 1, 3, 4, 0, 1, 4, 1, 3, 2, 0, 0, 3, 4, 0, 3, 3, 2, 2, 2, 1, 4, 3, 1, 1, 1, 2, 2, 0, 2, 2, 0, 4, 1, 4, 4, 4, 1, 2, 0, 4, 4, 3, 3, 0, 3, 3, 0, 2, 1, 4, 2, 3, 4, 3, 3, 0, 3, 2, 3, 4, 0, 2, 2, 1, 0, 2, 3, 0, 4, 2, 0, 3, 2, 3, 3, 1, 1, 2, 4, 1, 2, 0, 2, 0, 2, 3, 1, 0, 1, 2, 4, 4, 2, 3, 2, 1, 0, 0, 1, 0, 1, 3, 3, 2, 3, 1, 3, 1, 2, 4, 2, 0, 0, 2, 2, 4, 4, 4, 3, 3, 3, 3, 3, 1, 0, 3, 2, 4, 4, 0, 2, 3, 4, 2, 4, 4, 1, 4, 1, 1, 1, 3, 0, 1, 2, 3, 0, 0, 3, 2, 3, 1, 2, 4, 3, 4, 4, 2, 3, 0, 0, 3, 3, 1, 1, 0, 0, 4, 0, 4, 1, 1, 0, 2, 4, 0, 4, 2, 3, 3, 2, 3, 4, 3, 4, 0, 2, 1, 3, 4, 2, 3, 3, 2, 3, 4, 0, 0, 0, 1, 3, 4, 1, 1, 4, 0, 2, 0, 3, 0, 3, 0, 4, 4, 2, 2, 4, 3, 0, 2, 2, 1, 3, 0, 3, 3, 3, 3, 1, 0, 2, 2, 0, 3, 4, 0, 3, 3, 1, 3, 4, 4, 4, 1, 1, 2, 1, 4, 4, 1, 4, 0, 0, 0, 0, 0, 4, 0, 2, 0, 1, 0, 0, 2, 3, 0, 0, 2, 4, 2, 4, 2, 0, 4, 3, 0, 0, 3, 3, 3, 2, 2, 0, 1, 0, 0, 3, 4, 4, 1, 2, 1, 2, 0, 3, 1, 2, 4, 3, 1, 2, 0, 1, 3, 0, 2, 0, 0, 2, 0, 3, 1, 2, 0, 0, 1, 4, 4, 2, 1, 1, 3, 1, 2, 1, 2, 1, 1, 2, 4, 1, 3, 0, 0, 2, 1, 4, 1, 2, 0, 3, 0, 1, 3, 1, 3, 0, 2, 4, 2, 3, 1, 1, 2, 2, 4, 4, 4, 0, 1, 3, 1, 4, 2, 0, 1, 1, 4, 4, 4] pubkeycol1350 = [0, 0, 4, 4, 0, 4, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 4, 2, 3, 3, 4, 3, 4, 4, 2, 1, 0, 2, 0, 0, 0, 4, 3, 0, 0, 2, 4, 4, 3, 3, 1, 1, 1, 0, 1, 3, 4, 0, 2, 2, 1, 2, 3, 3, 2, 3, 1, 0, 1, 0, 0, 3, 0, 4, 4, 1, 0, 3, 4, 0, 2, 0, 1, 2, 1, 3, 2, 4, 1, 3, 4, 0, 3, 4, 2, 1, 2, 1, 2, 2, 1, 0, 1, 4, 3, 1, 3, 1, 2, 2, 1, 0, 3, 2, 1, 2, 2, 1, 4, 4, 0, 4, 1, 4, 4, 1, 1, 4, 4, 3, 0, 1, 4, 1, 0, 4, 1, 3, 1, 0, 0, 2, 1, 1, 1, 2, 3, 3, 3, 3, 3, 0, 1, 2, 0, 4, 4, 1, 0, 0, 3, 4, 1, 0, 0, 2, 0, 3, 0, 4, 0, 1, 3, 1, 0, 2, 0, 4, 3, 1, 1, 4, 3, 3, 1, 2, 4, 3, 4, 0, 2, 2, 3, 0, 1, 1, 3, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 3, 4, 0, 4, 2, 3, 3, 1, 0, 4, 0, 4, 4, 3, 4, 4, 2, 3, 0, 0, 4, 4, 0, 0, 3, 2, 3, 0, 0, 2, 4, 3, 2, 4, 2, 1, 0, 2, 2, 1, 2, 4, 1, 4, 3, 4, 0, 3, 3, 2, 2, 0, 0, 0, 2, 2, 3, 0, 1, 3, 3, 1, 4, 1, 2, 0, 2, 4, 1, 1, 1, 2, 0, 2, 3, 4, 2, 2, 0, 0, 2, 4, 0, 1, 1, 4, 2, 3, 0, 2, 0, 0, 2, 1, 0, 4, 0, 3, 1, 2, 0, 1, 4, 4, 2, 0, 2, 3, 4, 4, 1, 0, 3, 0, 4, 3, 2, 1, 1, 3, 1, 3, 1, 2, 3, 1, 3, 4, 2, 0, 4, 3, 2, 4, 4, 0, 3, 3, 2, 4, 4, 1, 4, 2, 4, 0, 4, 2, 0, 0, 4, 2, 4, 1, 3, 0, 2, 0, 4, 4, 1, 2, 4, 2, 2, 1, 3, 1, 1, 0, 1, 2, 0, 3, 0, 4, 4, 1, 2, 0, 1, 1, 1, 0, 2, 1, 3, 0, 1, 4, 4, 2, 1, 4, 3, 3, 2, 0, 3, 0, 3, 2, 2, 3, 2, 0, 0, 0, 1, 1, 2, 1, 3, 1, 3, 1, 0, 0, 3, 1, 0, 2, 2, 4, 1, 3, 0, 1, 3, 3, 2, 0, 2, 1, 1, 0, 4, 1, 2, 2, 4, 1, 4, 3, 4, 2, 1, 3, 3, 2, 4, 2, 1, 1, 1, 4, 1, 3, 2, 3, 1, 2, 3, 3, 2, 0, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 0, 1, 3, 2, 3] pubkeycol1351 = [2, 1, 2, 3, 2, 3, 4, 4, 4, 1, 0, 4, 1, 0, 4, 4, 4, 2, 0, 1, 4, 3, 3, 1, 4, 2, 3, 2, 0, 2, 0, 1, 2, 3, 4, 4, 2, 3, 3, 3, 1, 3, 0, 1, 4, 3, 0, 4, 2, 4, 0, 4, 3, 4, 0, 4, 2, 3, 1, 4, 0, 2, 2, 1, 3, 0, 1, 1, 2, 2, 4, 4, 1, 2, 3, 2, 2, 3, 1, 2, 4, 1, 0, 2, 3, 3, 4, 0, 3, 1, 4, 2, 0, 1, 3, 3, 0, 3, 4, 0, 2, 2, 4, 4, 0, 3, 3, 4, 2, 0, 2, 3, 0, 0, 0, 3, 4, 0, 3, 3, 4, 3, 3, 1, 3, 3, 2, 1, 4, 2, 3, 1, 0, 4, 1, 2, 1, 4, 4, 2, 2, 4, 1, 1, 4, 4, 4, 1, 0, 3, 0, 3, 3, 2, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 0, 2, 1, 2, 4, 3, 2, 3, 2, 2, 0, 0, 3, 4, 2, 0, 0, 0, 4, 4, 0, 1, 2, 2, 2, 3, 2, 2, 1, 0, 4, 3, 1, 0, 2, 3, 4, 1, 3, 4, 1, 1, 4, 0, 4, 0, 3, 2, 4, 3, 3, 1, 2, 2, 4, 2, 3, 2, 3, 0, 3, 0, 1, 3, 2, 4, 2, 1, 1, 3, 3, 3, 0, 3, 2, 1, 4, 4, 4, 1, 0, 0, 4, 3, 2, 3, 3, 0, 4, 4, 4, 3, 4, 0, 0, 2, 3, 1, 2, 4, 2, 4, 0, 3, 0, 3, 2, 0, 3, 1, 2, 0, 2, 3, 0, 3, 3, 2, 4, 2, 2, 4, 3, 4, 0, 2, 0, 1, 0, 2, 4, 2, 4, 4, 4, 4, 2, 2, 2, 3, 2, 1, 2, 2, 3, 1, 4, 3, 0, 0, 1, 0, 3, 0, 1, 4, 1, 4, 0, 1, 2, 2, 4, 3, 0, 4, 4, 4, 1, 0, 1, 1, 1, 4, 1, 2, 0, 3, 4, 2, 4, 4, 1, 2, 1, 0, 3, 4, 2, 3, 2, 4, 4, 1, 4, 4, 2, 3, 2, 0, 0, 0, 1, 4, 4, 1, 2, 3, 1, 4, 4, 4, 2, 1, 0, 3, 4, 2, 0, 4, 1, 3, 3, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 1, 3, 2, 1, 1, 4, 0, 3, 1, 3, 4, 4, 3, 2, 0, 0, 4, 0, 2, 3, 3, 2, 2, 0, 3, 0, 1, 2, 4, 4, 1, 3, 2, 0, 2, 1, 2, 1, 4, 4, 4, 4, 1, 2, 4, 3, 0, 1, 1, 2, 1, 2, 0, 4, 0, 1, 3, 0, 2, 2, 4, 0, 2, 1, 1, 1, 4, 3, 4, 0, 1, 1, 4, 4, 1, 3, 2, 4, 1, 3, 4, 0] pubkeycol1352 = [4, 1, 2, 0, 1, 3, 0, 0, 4, 1, 2, 2, 4, 4, 2, 2, 1, 1, 2, 2, 0, 3, 0, 1, 3, 0, 2, 2, 0, 3, 0, 0, 4, 2, 4, 1, 2, 2, 1, 1, 4, 1, 1, 4, 4, 2, 4, 3, 0, 2, 1, 4, 2, 0, 0, 1, 1, 3, 4, 3, 4, 0, 0, 3, 3, 3, 3, 0, 1, 2, 1, 4, 1, 2, 0, 1, 4, 0, 0, 3, 4, 1, 0, 1, 0, 2, 2, 0, 3, 0, 3, 1, 1, 3, 3, 2, 0, 2, 0, 4, 0, 0, 3, 0, 3, 0, 1, 0, 1, 4, 0, 3, 4, 1, 2, 4, 1, 1, 0, 2, 2, 1, 0, 3, 2, 4, 0, 4, 1, 4, 4, 4, 2, 2, 1, 4, 3, 0, 0, 3, 2, 1, 3, 2, 4, 2, 4, 0, 0, 0, 1, 3, 4, 3, 4, 4, 3, 1, 1, 1, 0, 1, 4, 4, 2, 1, 4, 2, 2, 1, 1, 1, 4, 3, 4, 2, 2, 2, 1, 3, 4, 4, 2, 1, 1, 1, 3, 0, 1, 4, 2, 3, 0, 1, 3, 2, 2, 1, 4, 3, 1, 1, 3, 0, 2, 3, 4, 1, 2, 4, 1, 1, 4, 2, 4, 4, 2, 2, 4, 3, 4, 3, 2, 3, 4, 2, 3, 3, 1, 0, 1, 2, 2, 0, 3, 3, 1, 1, 2, 2, 1, 1, 4, 4, 4, 1, 4, 4, 0, 4, 3, 4, 0, 0, 4, 4, 1, 0, 3, 3, 3, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 4, 4, 1, 2, 0, 3, 0, 3, 1, 1, 0, 2, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 2, 3, 1, 3, 0, 0, 1, 4, 0, 0, 3, 2, 0, 1, 4, 4, 2, 1, 3, 0, 1, 0, 1, 3, 0, 1, 4, 1, 2, 2, 1, 0, 2, 4, 1, 3, 1, 1, 1, 2, 0, 2, 1, 1, 2, 3, 1, 3, 4, 2, 4, 2, 1, 1, 1, 1, 4, 0, 1, 3, 0, 3, 1, 3, 1, 3, 3, 2, 3, 1, 4, 2, 1, 2, 1, 4, 1, 3, 1, 1, 0, 4, 2, 2, 2, 2, 3, 0, 3, 4, 1, 1, 1, 4, 1, 0, 3, 2, 0, 4, 0, 1, 3, 0, 2, 4, 0, 1, 2, 1, 1, 3, 3, 4, 2, 3, 3, 1, 2, 3, 4, 2, 1, 2, 0, 4, 3, 2, 4, 2, 1, 3, 2, 2, 0, 2, 3, 3, 2, 2, 0, 2, 3, 4, 0, 1, 4, 1, 4, 2, 4, 1, 3, 4, 0, 2, 0, 0, 3, 2, 0, 1, 2, 3, 3, 3, 3, 3, 2, 1, 3, 4, 0, 2, 2, 2, 2, 2, 4, 4, 1, 4, 4, 0, 0] pubkeycol1353 = [3, 4, 2, 2, 3, 2, 0, 0, 1, 0, 4, 2, 3, 4, 2, 4, 4, 3, 2, 3, 4, 4, 3, 2, 4, 2, 2, 4, 1, 0, 1, 2, 2, 4, 2, 4, 3, 4, 1, 0, 0, 3, 4, 4, 1, 1, 0, 2, 0, 2, 3, 0, 1, 3, 0, 2, 1, 4, 0, 2, 4, 1, 2, 0, 2, 0, 4, 4, 2, 0, 2, 4, 4, 3, 1, 0, 4, 2, 2, 1, 2, 1, 3, 3, 0, 2, 3, 4, 3, 1, 1, 4, 2, 3, 3, 2, 0, 4, 0, 0, 2, 3, 1, 3, 2, 4, 0, 3, 4, 0, 3, 0, 4, 0, 4, 3, 3, 4, 2, 2, 4, 3, 3, 4, 2, 1, 4, 3, 2, 3, 0, 4, 4, 3, 2, 1, 1, 4, 0, 4, 2, 4, 0, 4, 4, 0, 4, 4, 4, 2, 1, 2, 4, 4, 2, 4, 0, 0, 0, 1, 2, 2, 2, 4, 3, 3, 1, 1, 4, 4, 0, 4, 3, 4, 1, 1, 2, 2, 4, 0, 1, 3, 0, 1, 2, 3, 3, 4, 0, 1, 3, 4, 2, 3, 4, 4, 0, 4, 4, 4, 1, 0, 4, 4, 2, 4, 3, 3, 3, 4, 2, 0, 0, 1, 2, 4, 0, 4, 1, 2, 1, 1, 1, 3, 0, 2, 4, 1, 4, 0, 4, 3, 4, 4, 0, 0, 2, 2, 4, 0, 3, 1, 0, 0, 0, 3, 2, 4, 3, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 3, 0, 1, 2, 2, 4, 2, 1, 1, 3, 1, 4, 2, 3, 1, 4, 4, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 2, 0, 4, 2, 1, 4, 0, 1, 0, 2, 2, 0, 1, 1, 2, 4, 3, 0, 2, 0, 4, 3, 0, 2, 1, 1, 4, 1, 1, 0, 0, 1, 3, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 3, 1, 3, 3, 0, 4, 4, 0, 2, 1, 1, 0, 4, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 3, 0, 0, 4, 3, 2, 4, 2, 2, 2, 2, 3, 3, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 3, 1, 3, 3, 0, 1, 3, 0, 2, 4, 3, 4, 0, 4, 2, 3, 4, 4, 1, 3, 4, 2, 3, 4, 3, 0, 0, 0, 1, 3, 4, 2, 0, 1, 2, 4, 4, 1, 1, 4, 3, 3, 0, 1, 4, 2, 3, 1, 4, 0, 4, 2, 4, 0, 2, 2, 2, 1, 4, 4, 1, 0, 1, 1, 0, 3, 3, 0, 0, 1, 3, 1, 3, 2, 2, 1, 2, 3, 1, 1, 4, 0, 0, 0, 1, 0, 4, 3, 1, 1, 2, 1, 3, 2, 4] pubkeycol1354 = [0, 3, 3, 4, 4, 1, 4, 1, 2, 1, 2, 0, 2, 0, 1, 3, 0, 2, 0, 4, 1, 1, 2, 2, 0, 3, 1, 1, 3, 3, 0, 1, 4, 0, 2, 3, 1, 2, 0, 4, 2, 3, 0, 1, 4, 3, 3, 2, 4, 1, 4, 4, 2, 1, 0, 4, 1, 1, 3, 3, 2, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 3, 4, 3, 3, 1, 4, 3, 2, 2, 1, 3, 4, 3, 0, 3, 3, 4, 4, 0, 1, 0, 2, 1, 0, 4, 2, 4, 2, 2, 3, 4, 2, 3, 1, 4, 3, 2, 1, 0, 3, 3, 1, 0, 3, 2, 0, 1, 0, 3, 3, 2, 2, 1, 1, 2, 0, 0, 0, 4, 1, 3, 1, 2, 4, 3, 0, 2, 1, 1, 0, 3, 2, 3, 0, 1, 0, 3, 2, 1, 0, 1, 2, 0, 2, 1, 3, 1, 3, 1, 2, 0, 4, 1, 1, 4, 3, 0, 1, 4, 1, 2, 4, 4, 3, 0, 3, 3, 2, 0, 3, 2, 2, 0, 4, 4, 0, 1, 0, 1, 0, 1, 0, 0, 1, 3, 3, 1, 2, 4, 4, 2, 2, 1, 0, 4, 2, 2, 1, 4, 4, 3, 2, 2, 0, 4, 1, 4, 1, 3, 3, 2, 0, 1, 0, 3, 4, 3, 2, 1, 4, 2, 4, 2, 4, 2, 4, 4, 3, 4, 4, 2, 0, 0, 1, 0, 1, 2, 1, 4, 1, 3, 0, 3, 3, 1, 1, 4, 0, 4, 1, 4, 0, 3, 2, 1, 2, 2, 0, 1, 1, 2, 1, 3, 3, 3, 3, 0, 2, 4, 0, 4, 0, 2, 0, 1, 1, 3, 2, 0, 0, 1, 4, 1, 4, 3, 2, 2, 1, 2, 2, 4, 0, 0, 1, 4, 1, 2, 1, 3, 0, 4, 1, 1, 2, 0, 2, 2, 4, 2, 0, 1, 4, 2, 3, 1, 3, 1, 0, 3, 3, 3, 3, 2, 3, 4, 3, 2, 2, 0, 2, 4, 4, 3, 4, 4, 2, 3, 3, 0, 1, 2, 2, 4, 3, 3, 2, 2, 0, 1, 3, 1, 4, 4, 3, 4, 3, 4, 3, 0, 4, 4, 1, 1, 0, 0, 1, 0, 4, 2, 1, 1, 1, 3, 4, 4, 4, 1, 1, 3, 4, 3, 3, 3, 3, 3, 3, 1, 0, 0, 3, 3, 1, 3, 0, 4, 3, 2, 0, 4, 0, 1, 3, 2, 4, 2, 0, 3, 0, 1, 0, 4, 2, 4, 2, 1, 3, 2, 2, 3, 4, 0, 1, 2, 1, 1, 0, 1, 2, 1, 4, 0, 0, 3, 1, 3, 0, 3, 0, 4, 4, 0, 3, 4, 2, 1, 2, 1, 3, 0, 4, 3, 0, 3, 1, 3, 3, 3, 0, 4, 4, 2, 2, 0, 4, 0, 4, 2, 0] pubkeycol1355 = [2, 0, 2, 1, 2, 2, 0, 2, 0, 3, 4, 0, 3, 4, 3, 0, 2, 2, 4, 2, 1, 3, 0, 2, 0, 3, 2, 3, 2, 3, 1, 4, 3, 4, 2, 3, 4, 1, 1, 4, 1, 3, 4, 3, 3, 3, 1, 2, 0, 3, 1, 3, 1, 3, 4, 0, 3, 0, 0, 1, 2, 1, 3, 3, 2, 0, 4, 4, 0, 2, 2, 4, 0, 3, 3, 1, 2, 2, 0, 2, 0, 2, 3, 0, 2, 1, 0, 3, 0, 2, 1, 1, 4, 3, 3, 0, 2, 0, 3, 1, 1, 2, 2, 1, 1, 4, 2, 1, 3, 4, 2, 1, 2, 4, 3, 0, 0, 1, 2, 1, 4, 4, 3, 4, 2, 4, 2, 3, 4, 0, 1, 2, 4, 3, 1, 2, 4, 4, 3, 3, 3, 2, 2, 4, 0, 1, 0, 1, 2, 3, 2, 3, 3, 0, 4, 1, 3, 0, 4, 2, 1, 0, 1, 0, 1, 3, 3, 1, 0, 3, 0, 1, 3, 2, 3, 2, 1, 1, 3, 2, 1, 2, 0, 2, 3, 1, 1, 4, 1, 3, 4, 2, 0, 3, 2, 2, 3, 1, 0, 4, 0, 2, 2, 2, 4, 1, 4, 2, 1, 4, 3, 0, 1, 2, 1, 3, 1, 2, 0, 4, 3, 3, 0, 2, 0, 4, 1, 3, 3, 2, 3, 1, 2, 1, 1, 4, 3, 0, 4, 3, 0, 4, 3, 4, 1, 4, 2, 1, 2, 0, 1, 3, 3, 1, 4, 0, 1, 0, 0, 4, 3, 1, 0, 1, 2, 0, 1, 4, 0, 2, 3, 2, 2, 4, 2, 1, 4, 3, 2, 3, 0, 0, 2, 4, 2, 4, 3, 2, 0, 2, 3, 2, 4, 0, 1, 3, 3, 0, 3, 1, 4, 2, 3, 1, 2, 0, 2, 0, 0, 3, 4, 2, 2, 1, 4, 0, 0, 4, 4, 4, 4, 2, 2, 2, 0, 3, 4, 4, 1, 4, 0, 4, 0, 0, 4, 4, 3, 0, 4, 4, 0, 1, 0, 4, 3, 0, 4, 2, 3, 1, 2, 4, 3, 1, 3, 3, 0, 0, 1, 0, 2, 2, 2, 0, 1, 4, 1, 0, 2, 1, 0, 3, 0, 4, 0, 1, 0, 0, 0, 2, 4, 1, 0, 2, 2, 2, 1, 3, 4, 1, 2, 1, 4, 4, 1, 3, 0, 4, 4, 3, 0, 0, 0, 1, 0, 2, 4, 1, 4, 2, 4, 3, 4, 3, 1, 1, 4, 3, 1, 2, 3, 0, 1, 3, 4, 3, 0, 1, 2, 3, 3, 4, 1, 3, 4, 0, 1, 4, 2, 3, 1, 0, 0, 4, 1, 1, 1, 0, 1, 0, 4, 2, 4, 2, 0, 2, 4, 3, 0, 3, 0, 2, 2, 3, 0, 2, 2, 3, 0, 4, 1, 1, 4, 2, 0, 4, 3, 4, 2, 3] pubkeycol1356 = [4, 2, 4, 0, 1, 2, 0, 3, 0, 4, 4, 0, 2, 3, 1, 3, 1, 1, 3, 1, 4, 0, 4, 3, 1, 4, 1, 2, 4, 4, 2, 3, 4, 4, 0, 1, 2, 4, 0, 3, 1, 1, 1, 1, 1, 3, 2, 0, 3, 2, 4, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 3, 0, 1, 4, 1, 4, 2, 0, 4, 0, 4, 0, 1, 3, 0, 4, 3, 4, 3, 0, 2, 1, 4, 4, 0, 4, 1, 2, 0, 2, 2, 1, 1, 3, 0, 0, 2, 1, 4, 3, 4, 2, 3, 1, 2, 0, 4, 4, 2, 2, 0, 1, 2, 4, 2, 0, 2, 0, 0, 3, 1, 4, 0, 2, 3, 2, 1, 4, 2, 3, 0, 3, 4, 2, 0, 1, 1, 2, 0, 0, 4, 4, 3, 2, 4, 2, 2, 1, 1, 1, 4, 3, 1, 4, 2, 4, 4, 0, 3, 0, 4, 4, 0, 1, 2, 3, 2, 0, 0, 4, 4, 3, 3, 1, 3, 2, 2, 1, 3, 3, 4, 2, 1, 0, 4, 0, 3, 0, 3, 3, 3, 3, 1, 0, 2, 0, 2, 2, 4, 0, 2, 3, 3, 2, 1, 0, 0, 2, 0, 1, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 1, 2, 3, 4, 0, 1, 3, 0, 4, 2, 3, 0, 0, 0, 3, 3, 3, 4, 4, 3, 2, 3, 4, 0, 2, 4, 1, 3, 2, 1, 0, 3, 2, 3, 1, 2, 1, 3, 0, 3, 3, 3, 3, 3, 1, 4, 3, 1, 1, 4, 4, 0, 0, 0, 4, 1, 4, 1, 0, 0, 2, 4, 2, 1, 3, 3, 0, 4, 1, 3, 3, 3, 1, 4, 3, 3, 2, 2, 1, 4, 1, 0, 2, 1, 2, 2, 1, 4, 3, 0, 2, 1, 2, 3, 2, 0, 0, 2, 4, 3, 1, 3, 0, 4, 3, 3, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 4, 2, 3, 1, 0, 3, 1, 1, 1, 2, 1, 2, 0, 1, 1, 4, 3, 2, 4, 3, 0, 3, 3, 0, 2, 1, 4, 1, 2, 2, 1, 3, 4, 2, 1, 3, 4, 1, 0, 1, 3, 2, 2, 4, 3, 2, 4, 3, 0, 0, 3, 3, 4, 4, 0, 1, 4, 0, 2, 3, 3, 1, 4, 1, 1, 3, 3, 0, 4, 1, 2, 1, 2, 0, 4, 4, 0, 3, 2, 4, 3, 1, 2, 3, 1, 3, 3, 2, 3, 2, 0, 1, 0, 4, 1, 4, 3, 1, 0, 1, 1, 0, 4, 1, 4, 0, 3, 0, 1, 0, 0, 4, 4, 2, 2, 1, 4, 2, 0, 2, 3, 3, 1, 3, 2, 4, 4, 0, 1, 2, 4, 2, 1, 1, 4, 4, 4, 3, 1, 0, 1, 4, 4] pubkeycol1357 = [3, 4, 3, 2, 2, 1, 3, 2, 1, 4, 4, 4, 0, 0, 4, 0, 3, 3, 1, 1, 4, 3, 3, 3, 0, 2, 1, 2, 2, 1, 4, 2, 0, 2, 1, 1, 1, 3, 2, 4, 2, 3, 2, 4, 0, 4, 4, 1, 4, 0, 1, 2, 0, 1, 3, 2, 2, 2, 3, 0, 4, 2, 0, 4, 4, 4, 3, 4, 3, 3, 0, 1, 1, 4, 1, 2, 3, 0, 1, 2, 4, 2, 2, 4, 2, 0, 4, 4, 0, 0, 2, 1, 3, 0, 2, 0, 1, 2, 3, 2, 3, 2, 4, 2, 3, 1, 4, 1, 4, 3, 1, 0, 0, 2, 4, 0, 0, 1, 0, 4, 2, 4, 4, 0, 4, 0, 0, 1, 2, 0, 4, 2, 0, 3, 3, 0, 3, 4, 1, 3, 1, 0, 1, 0, 1, 2, 2, 4, 2, 0, 4, 2, 2, 2, 2, 4, 0, 0, 2, 4, 0, 0, 4, 1, 3, 0, 0, 1, 4, 2, 4, 4, 2, 4, 4, 1, 2, 2, 3, 4, 3, 0, 3, 3, 1, 3, 2, 1, 2, 3, 2, 4, 2, 4, 3, 4, 2, 2, 0, 3, 2, 2, 1, 2, 2, 0, 4, 4, 1, 0, 3, 0, 0, 4, 2, 1, 1, 3, 3, 4, 0, 2, 2, 0, 4, 1, 4, 1, 0, 3, 3, 0, 3, 1, 4, 4, 2, 3, 2, 2, 2, 0, 2, 4, 0, 4, 3, 2, 0, 4, 3, 0, 4, 0, 3, 0, 1, 3, 0, 0, 2, 4, 3, 1, 1, 2, 0, 0, 0, 4, 3, 2, 1, 1, 1, 4, 4, 1, 4, 2, 0, 3, 2, 4, 1, 4, 3, 0, 0, 4, 0, 0, 2, 1, 3, 3, 2, 0, 0, 3, 3, 0, 3, 2, 0, 4, 3, 1, 2, 4, 0, 3, 3, 0, 3, 4, 0, 2, 4, 3, 4, 1, 3, 4, 0, 4, 0, 2, 3, 4, 4, 2, 2, 3, 2, 3, 0, 1, 3, 3, 2, 0, 2, 0, 0, 2, 1, 4, 3, 4, 3, 3, 2, 2, 1, 3, 3, 3, 4, 2, 1, 2, 0, 0, 4, 2, 2, 1, 3, 3, 4, 4, 4, 2, 0, 2, 1, 3, 3, 2, 2, 3, 3, 4, 3, 3, 0, 0, 3, 3, 0, 3, 2, 2, 2, 1, 0, 3, 0, 1, 2, 4, 4, 4, 4, 4, 3, 4, 0, 4, 1, 1, 3, 2, 3, 0, 1, 1, 4, 1, 1, 4, 0, 2, 4, 0, 2, 4, 4, 0, 2, 0, 2, 2, 3, 0, 1, 4, 0, 4, 2, 3, 4, 3, 2, 4, 2, 3, 2, 2, 2, 0, 4, 0, 0, 0, 3, 4, 1, 1, 1, 1, 2, 3, 1, 0, 3, 3, 0, 3, 4, 3, 1, 4, 1, 2, 0, 1, 2, 4] pubkeycol1358 = [1, 4, 4, 1, 4, 1, 4, 4, 1, 4, 0, 2, 1, 3, 2, 1, 0, 3, 0, 2, 0, 3, 1, 3, 2, 1, 0, 1, 3, 4, 4, 3, 3, 0, 1, 1, 0, 1, 4, 0, 1, 3, 4, 4, 0, 0, 2, 4, 0, 1, 2, 0, 3, 4, 1, 2, 1, 2, 0, 0, 2, 2, 4, 1, 3, 1, 0, 4, 4, 4, 3, 2, 1, 0, 1, 0, 4, 2, 4, 0, 4, 1, 2, 2, 3, 0, 0, 2, 3, 0, 3, 0, 2, 0, 3, 4, 3, 0, 2, 0, 4, 0, 2, 0, 3, 3, 3, 4, 3, 0, 3, 0, 4, 4, 0, 3, 4, 0, 2, 3, 3, 3, 4, 4, 3, 3, 2, 1, 2, 1, 3, 4, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 3, 4, 3, 2, 0, 0, 0, 2, 2, 4, 2, 0, 4, 1, 2, 0, 3, 2, 3, 4, 1, 4, 4, 0, 2, 1, 1, 3, 4, 3, 3, 4, 0, 3, 2, 4, 2, 1, 3, 4, 1, 0, 1, 4, 2, 0, 3, 4, 1, 3, 1, 3, 2, 2, 2, 0, 3, 4, 0, 2, 1, 2, 3, 1, 4, 1, 0, 2, 0, 1, 4, 0, 4, 1, 0, 4, 0, 1, 3, 1, 2, 1, 1, 0, 2, 0, 4, 3, 4, 2, 3, 4, 4, 2, 3, 0, 0, 3, 0, 2, 0, 1, 3, 1, 1, 3, 4, 2, 4, 0, 2, 2, 4, 4, 3, 0, 2, 0, 2, 1, 3, 3, 4, 1, 4, 4, 3, 1, 4, 2, 2, 1, 3, 3, 3, 0, 2, 4, 2, 3, 2, 0, 0, 0, 3, 0, 1, 1, 1, 0, 3, 3, 4, 0, 0, 3, 2, 3, 4, 1, 2, 3, 3, 2, 1, 3, 0, 3, 4, 1, 1, 3, 0, 4, 3, 2, 0, 0, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 0, 4, 3, 2, 3, 2, 0, 2, 3, 3, 2, 2, 3, 1, 3, 4, 0, 3, 2, 0, 0, 0, 2, 0, 4, 0, 0, 1, 0, 1, 0, 4, 1, 1, 0, 0, 3, 1, 2, 0, 2, 3, 0, 4, 1, 0, 2, 0, 3, 1, 1, 3, 2, 4, 2, 2, 0, 1, 0, 0, 4, 3, 0, 1, 3, 3, 2, 4, 0, 1, 2, 4, 3, 2, 4, 1, 0, 4, 4, 1, 4, 1, 1, 0, 1, 0, 2, 2, 3, 2, 1, 3, 3, 2, 2, 0, 3, 0, 1, 0, 4, 1, 1, 1, 4, 4, 0, 4, 4, 4, 2, 3, 2, 0, 4, 4, 3, 2, 4, 1, 4, 0, 3, 1, 0, 3, 1, 1, 3, 3, 3, 4, 1, 1, 2, 0, 1, 1, 2, 1, 0] pubkeycol1359 = [0, 0, 4, 3, 2, 2, 2, 4, 2, 1, 1, 0, 1, 2, 4, 1, 0, 3, 1, 2, 2, 4, 0, 4, 1, 4, 3, 0, 4, 1, 4, 0, 0, 2, 4, 0, 2, 2, 4, 1, 2, 2, 4, 3, 0, 0, 3, 3, 2, 3, 0, 4, 3, 4, 1, 4, 3, 1, 2, 0, 0, 0, 2, 0, 3, 4, 4, 3, 1, 0, 3, 0, 4, 3, 1, 1, 1, 4, 0, 1, 1, 4, 2, 1, 4, 2, 2, 4, 3, 4, 4, 2, 4, 4, 4, 0, 2, 0, 4, 3, 2, 4, 1, 3, 3, 3, 1, 0, 3, 4, 3, 4, 4, 0, 1, 2, 3, 1, 2, 3, 1, 1, 0, 3, 1, 4, 0, 0, 1, 4, 2, 2, 4, 0, 0, 4, 0, 1, 0, 4, 3, 1, 4, 0, 2, 4, 1, 2, 1, 0, 1, 4, 4, 2, 0, 0, 0, 4, 4, 0, 0, 4, 3, 4, 4, 1, 3, 3, 0, 4, 3, 2, 4, 4, 4, 1, 1, 0, 0, 1, 1, 1, 3, 2, 4, 0, 4, 2, 2, 2, 0, 3, 1, 2, 2, 1, 4, 4, 4, 2, 3, 4, 4, 3, 4, 0, 0, 2, 1, 2, 1, 0, 3, 4, 4, 4, 2, 4, 2, 0, 0, 0, 2, 2, 0, 2, 3, 0, 1, 1, 3, 1, 0, 1, 3, 0, 1, 4, 3, 3, 4, 1, 0, 0, 3, 2, 0, 0, 4, 4, 2, 2, 0, 1, 3, 4, 0, 1, 1, 2, 3, 1, 2, 0, 4, 0, 1, 3, 4, 1, 4, 3, 1, 4, 3, 2, 1, 1, 4, 0, 0, 4, 0, 2, 0, 1, 3, 3, 3, 4, 2, 0, 3, 1, 3, 3, 2, 3, 0, 3, 0, 3, 2, 2, 1, 2, 0, 2, 2, 4, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 3, 3, 1, 0, 1, 3, 3, 2, 0, 3, 1, 0, 2, 0, 3, 3, 3, 0, 4, 1, 2, 1, 0, 1, 2, 2, 1, 4, 0, 0, 3, 4, 3, 3, 2, 3, 4, 0, 2, 0, 3, 0, 4, 4, 1, 2, 2, 3, 4, 4, 1, 4, 0, 1, 3, 1, 1, 0, 2, 4, 3, 4, 3, 3, 2, 3, 4, 2, 1, 2, 4, 2, 0, 3, 1, 3, 1, 3, 2, 0, 3, 0, 4, 3, 3, 2, 1, 4, 3, 3, 4, 2, 3, 3, 1, 2, 2, 0, 0, 3, 4, 0, 3, 2, 1, 4, 2, 3, 4, 2, 1, 2, 4, 2, 1, 1, 0, 2, 1, 4, 0, 1, 4, 1, 4, 2, 1, 3, 0, 3, 0, 3, 3, 2, 3, 2, 1, 3, 2, 1, 3, 0, 0, 3, 2, 1, 0, 0, 1, 4, 2, 0, 1, 4, 2, 2, 3, 2, 0, 0] pubkeycol1360 = [0, 0, 0, 4, 2, 4, 4, 3, 2, 3, 0, 1, 4, 2, 0, 4, 4, 3, 1, 0, 2, 3, 0, 1, 3, 4, 0, 3, 1, 4, 4, 0, 3, 4, 4, 3, 1, 4, 0, 1, 3, 2, 2, 1, 3, 4, 1, 1, 2, 0, 4, 4, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 4, 1, 0, 0, 3, 4, 0, 0, 1, 4, 1, 1, 4, 4, 2, 2, 3, 4, 1, 0, 3, 3, 4, 2, 1, 1, 3, 4, 2, 1, 3, 4, 2, 1, 2, 4, 4, 2, 4, 3, 2, 4, 2, 0, 3, 3, 3, 4, 0, 2, 1, 4, 3, 0, 2, 3, 3, 2, 4, 0, 4, 1, 2, 2, 0, 4, 2, 1, 2, 4, 4, 0, 3, 3, 2, 3, 4, 0, 3, 0, 2, 3, 1, 3, 1, 3, 3, 1, 3, 1, 0, 4, 3, 0, 0, 0, 2, 4, 4, 0, 1, 3, 3, 4, 1, 4, 2, 3, 3, 1, 4, 1, 2, 3, 3, 1, 4, 4, 4, 1, 3, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 3, 3, 2, 1, 4, 0, 2, 1, 1, 2, 0, 4, 4, 0, 4, 2, 3, 1, 3, 0, 2, 3, 0, 3, 0, 4, 3, 0, 0, 1, 1, 0, 4, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 4, 4, 1, 4, 3, 0, 4, 2, 4, 2, 4, 1, 2, 4, 1, 3, 0, 4, 3, 0, 4, 2, 3, 1, 2, 4, 0, 0, 1, 4, 4, 3, 2, 3, 4, 0, 0, 4, 4, 1, 3, 2, 3, 1, 3, 3, 3, 3, 1, 2, 1, 2, 0, 0, 4, 2, 2, 1, 0, 4, 0, 4, 1, 1, 1, 1, 0, 2, 1, 2, 1, 4, 4, 4, 0, 3, 1, 3, 1, 1, 4, 3, 4, 4, 0, 3, 2, 1, 1, 1, 1, 1, 3, 1, 0, 2, 1, 3, 1, 4, 1, 1, 0, 4, 0, 0, 3, 3, 0, 4, 3, 0, 2, 4, 4, 4, 4, 3, 3, 3, 1, 0, 4, 2, 2, 0, 2, 2, 3, 3, 2, 4, 3, 0, 3, 0, 2, 2, 0, 4, 4, 1, 3, 1, 2, 3, 1, 1, 3, 4, 2, 0, 2, 1, 1, 1, 0, 3, 3, 2, 3, 1, 3, 3, 2, 2, 2, 1, 0, 2, 3, 1, 4, 2, 2, 3, 4, 0, 4, 3, 1, 0, 1, 0, 4, 1, 2, 4, 1, 2, 4, 0, 0, 0, 1, 3, 3, 4, 0, 3, 2, 0, 0, 0, 3, 0, 2, 4, 2, 3, 3, 4, 1, 3, 2, 0, 2, 1, 1, 2, 0, 4, 3, 3, 4, 4, 3, 1, 3, 2, 2, 2, 4, 3, 3, 1, 0, 1, 3, 4, 4, 3] pubkeycol1361 = [2, 3, 3, 0, 2, 2, 1, 3, 0, 4, 4, 0, 0, 2, 2, 2, 2, 0, 3, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 4, 2, 1, 0, 1, 3, 4, 0, 4, 4, 2, 1, 4, 1, 0, 4, 4, 4, 2, 3, 0, 4, 0, 3, 3, 0, 4, 1, 3, 4, 2, 0, 2, 0, 0, 2, 2, 4, 2, 0, 1, 0, 1, 2, 3, 2, 4, 0, 0, 0, 3, 1, 4, 1, 1, 0, 0, 0, 1, 0, 4, 3, 3, 4, 4, 3, 3, 1, 4, 4, 0, 2, 1, 2, 2, 4, 4, 3, 2, 2, 4, 3, 4, 0, 3, 2, 4, 1, 0, 3, 0, 0, 3, 0, 3, 4, 3, 2, 2, 4, 3, 4, 1, 4, 3, 1, 0, 4, 0, 2, 1, 4, 4, 0, 4, 2, 2, 0, 2, 3, 2, 1, 0, 3, 1, 4, 2, 2, 2, 0, 0, 4, 0, 4, 2, 2, 4, 3, 1, 0, 3, 2, 0, 3, 0, 1, 0, 0, 1, 2, 4, 3, 1, 3, 2, 2, 1, 3, 3, 1, 4, 0, 4, 3, 4, 1, 2, 3, 1, 3, 1, 3, 2, 3, 1, 4, 3, 3, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 2, 4, 4, 1, 1, 2, 4, 1, 0, 3, 0, 2, 1, 2, 2, 3, 3, 4, 3, 2, 4, 0, 3, 4, 2, 0, 2, 0, 1, 2, 2, 4, 3, 1, 0, 2, 1, 4, 4, 2, 0, 4, 0, 0, 2, 4, 0, 0, 1, 4, 0, 2, 2, 1, 2, 3, 1, 4, 1, 2, 0, 4, 0, 2, 0, 3, 3, 1, 2, 0, 2, 0, 0, 1, 3, 0, 4, 0, 4, 1, 3, 1, 1, 3, 0, 3, 0, 4, 2, 2, 1, 1, 4, 4, 4, 1, 3, 2, 4, 2, 4, 4, 1, 2, 2, 3, 4, 3, 3, 4, 3, 0, 1, 1, 1, 4, 1, 2, 0, 2, 2, 0, 3, 0, 1, 0, 2, 2, 3, 4, 2, 0, 0, 1, 3, 2, 3, 4, 1, 4, 2, 3, 3, 3, 0, 0, 1, 1, 0, 4, 2, 0, 0, 1, 2, 2, 3, 2, 0, 0, 2, 3, 3, 4, 4, 2, 1, 1, 2, 0, 0, 3, 0, 4, 0, 4, 3, 1, 2, 2, 4, 2, 2, 4, 0, 1, 0, 4, 3, 4, 0, 4, 0, 2, 4, 0, 4, 4, 4, 1, 1, 2, 2, 4, 0, 2, 3, 4, 1, 3, 1, 0, 3, 2, 4, 3, 1, 4, 0, 2, 3, 3, 1, 2, 4, 1, 4, 0, 1, 3, 4, 3, 3, 2, 1, 0, 2, 0, 1, 4, 1, 2, 1, 3, 2, 3, 4, 0, 0, 0, 2, 0, 3, 1, 4, 4, 1, 2, 1, 3, 1, 0] pubkeycol1362 = [1, 0, 4, 1, 0, 2, 3, 2, 0, 4, 3, 4, 0, 3, 1, 0, 3, 3, 0, 2, 4, 2, 0, 3, 4, 2, 0, 2, 3, 1, 1, 0, 4, 2, 1, 2, 4, 3, 2, 1, 1, 3, 3, 0, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 4, 2, 4, 3, 1, 3, 2, 4, 4, 3, 2, 3, 1, 4, 0, 0, 0, 0, 4, 0, 2, 2, 2, 2, 0, 1, 4, 0, 4, 4, 4, 4, 2, 3, 3, 0, 4, 1, 3, 1, 3, 3, 0, 1, 1, 4, 0, 4, 3, 0, 0, 1, 3, 3, 1, 4, 1, 3, 0, 4, 1, 2, 2, 1, 3, 1, 2, 1, 1, 1, 0, 2, 0, 3, 3, 4, 2, 1, 0, 2, 3, 0, 4, 0, 0, 0, 0, 1, 3, 2, 4, 3, 1, 1, 3, 0, 3, 4, 3, 2, 4, 1, 1, 3, 1, 2, 0, 1, 0, 3, 4, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 3, 2, 4, 4, 4, 3, 2, 4, 3, 0, 4, 0, 3, 3, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 1, 2, 2, 3, 0, 4, 4, 0, 1, 2, 4, 0, 4, 2, 3, 0, 1, 3, 1, 2, 1, 4, 2, 4, 1, 2, 1, 0, 0, 1, 1, 2, 1, 3, 2, 2, 3, 2, 1, 4, 3, 3, 2, 0, 2, 4, 3, 3, 0, 4, 4, 2, 1, 3, 2, 0, 2, 1, 1, 2, 3, 3, 3, 1, 4, 3, 4, 1, 1, 3, 0, 1, 1, 1, 4, 0, 2, 0, 4, 3, 2, 1, 4, 1, 1, 1, 2, 1, 2, 4, 2, 1, 2, 4, 4, 3, 3, 2, 1, 4, 2, 4, 4, 0, 2, 3, 4, 1, 4, 0, 1, 4, 4, 0, 4, 2, 3, 4, 0, 0, 2, 0, 3, 2, 0, 0, 0, 4, 4, 4, 1, 4, 1, 2, 4, 4, 3, 1, 1, 3, 1, 3, 2, 3, 0, 1, 1, 4, 4, 3, 0, 3, 1, 1, 4, 4, 2, 2, 2, 4, 0, 1, 1, 3, 0, 3, 3, 1, 1, 4, 0, 4, 3, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 3, 2, 3, 4, 2, 1, 0, 2, 4, 2, 3, 2, 1, 2, 2, 4, 3, 3, 3, 3, 0, 0, 3, 2, 4, 2, 1, 2, 0, 2, 2, 3, 4, 4, 3, 4, 0, 1, 3, 2, 3, 3, 1, 0, 0, 0, 2, 4, 4, 0, 1, 0, 4, 0, 1, 3, 4, 1, 2, 2, 1, 2, 0, 1, 3, 1, 4, 0, 0, 1, 0, 3, 0, 4, 2, 3, 4, 2, 0, 1, 1, 2, 1, 1, 4, 4, 2, 3, 2] pubkeycol1363 = [4, 1, 3, 0, 4, 2, 2, 0, 4, 2, 1, 1, 0, 0, 2, 4, 1, 4, 4, 0, 2, 0, 2, 0, 1, 0, 3, 0, 0, 4, 4, 2, 4, 2, 4, 1, 2, 1, 3, 4, 1, 2, 1, 1, 1, 1, 0, 4, 0, 0, 4, 4, 3, 1, 3, 4, 1, 4, 2, 2, 4, 3, 2, 0, 4, 2, 2, 2, 4, 0, 2, 3, 3, 4, 0, 3, 3, 2, 0, 1, 0, 3, 0, 1, 1, 2, 3, 4, 3, 2, 2, 3, 0, 0, 4, 2, 0, 4, 4, 2, 0, 3, 1, 1, 0, 1, 4, 0, 4, 0, 2, 1, 1, 4, 4, 3, 4, 1, 1, 0, 4, 2, 3, 4, 4, 3, 2, 0, 3, 2, 0, 1, 2, 4, 3, 2, 0, 2, 4, 4, 3, 0, 2, 3, 1, 1, 1, 3, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 3, 1, 4, 0, 2, 4, 3, 3, 0, 0, 1, 2, 0, 1, 0, 1, 3, 4, 3, 4, 1, 3, 1, 1, 4, 2, 0, 3, 1, 1, 4, 4, 3, 2, 3, 4, 0, 0, 3, 1, 4, 1, 0, 3, 0, 4, 2, 0, 0, 1, 4, 3, 2, 4, 1, 4, 2, 1, 4, 4, 4, 0, 2, 0, 3, 3, 0, 4, 3, 2, 4, 2, 2, 0, 1, 4, 2, 2, 2, 1, 3, 0, 1, 3, 2, 1, 1, 2, 0, 3, 3, 1, 2, 4, 0, 0, 4, 4, 1, 0, 4, 1, 2, 4, 2, 0, 2, 4, 4, 4, 3, 3, 3, 0, 1, 2, 3, 3, 3, 0, 3, 1, 4, 3, 4, 0, 2, 1, 2, 3, 4, 1, 0, 0, 4, 4, 3, 2, 1, 1, 4, 0, 4, 4, 1, 0, 1, 3, 4, 0, 1, 3, 2, 4, 0, 4, 1, 0, 0, 2, 2, 2, 4, 1, 1, 0, 1, 3, 4, 0, 2, 3, 4, 0, 0, 2, 4, 0, 1, 1, 1, 4, 2, 2, 4, 4, 4, 2, 2, 1, 3, 2, 2, 3, 1, 1, 4, 1, 2, 4, 2, 1, 3, 4, 4, 4, 0, 0, 0, 4, 3, 3, 1, 1, 3, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 4, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 3, 3, 1, 0, 2, 3, 4, 0, 3, 0, 3, 1, 0, 0, 3, 3, 0, 4, 4, 0, 0, 2, 0, 1, 3, 0, 4, 4, 0, 2, 3, 4, 1, 3, 0, 0, 3, 0, 2, 0, 0, 4, 1, 2, 1, 3, 1, 0, 2, 1, 0, 4, 3, 0, 4, 0, 2, 2, 4, 4, 2, 0, 0, 0, 3, 1, 0, 1, 1, 3, 1, 0, 2, 1, 2, 0, 4, 4, 2, 2, 0, 0, 0, 2, 2, 3] pubkeycol1364 = [1, 3, 1, 2, 3, 0, 0, 2, 1, 1, 0, 3, 3, 0, 4, 0, 2, 4, 1, 0, 2, 4, 0, 2, 2, 3, 4, 4, 2, 0, 0, 2, 1, 2, 2, 4, 4, 4, 1, 1, 2, 0, 4, 4, 3, 3, 1, 2, 3, 0, 2, 1, 1, 3, 3, 2, 3, 1, 3, 2, 1, 0, 1, 2, 3, 1, 2, 2, 2, 4, 0, 4, 0, 4, 0, 4, 2, 3, 3, 4, 2, 0, 0, 4, 2, 4, 2, 4, 0, 4, 4, 4, 1, 3, 3, 4, 2, 4, 2, 1, 4, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 3, 4, 2, 1, 0, 0, 4, 4, 0, 1, 2, 2, 4, 2, 3, 0, 1, 4, 4, 3, 2, 4, 3, 1, 4, 1, 4, 0, 3, 4, 1, 3, 1, 4, 0, 2, 1, 4, 2, 3, 2, 3, 1, 1, 1, 1, 4, 4, 2, 1, 3, 0, 2, 1, 0, 1, 3, 0, 2, 2, 4, 4, 3, 4, 0, 2, 4, 1, 1, 3, 4, 2, 4, 4, 0, 0, 1, 3, 1, 1, 2, 0, 3, 3, 0, 2, 2, 1, 2, 4, 4, 3, 4, 1, 4, 3, 1, 0, 3, 4, 3, 3, 3, 4, 4, 0, 2, 1, 2, 0, 1, 2, 1, 4, 4, 1, 0, 1, 2, 4, 1, 4, 2, 1, 3, 2, 0, 2, 0, 3, 0, 1, 0, 1, 0, 0, 0, 3, 2, 3, 3, 0, 0, 4, 2, 0, 3, 2, 2, 3, 0, 0, 4, 3, 4, 1, 1, 4, 4, 0, 2, 2, 4, 3, 4, 2, 1, 0, 4, 1, 2, 4, 1, 1, 3, 4, 1, 0, 0, 2, 2, 1, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 0, 3, 0, 1, 3, 3, 3, 1, 3, 4, 4, 4, 1, 0, 4, 2, 2, 1, 1, 0, 4, 3, 3, 2, 2, 3, 2, 1, 3, 0, 4, 3, 0, 1, 3, 2, 0, 1, 3, 2, 4, 4, 3, 1, 1, 0, 3, 3, 0, 4, 3, 1, 0, 1, 4, 2, 2, 4, 4, 4, 2, 3, 3, 0, 3, 4, 2, 0, 3, 3, 3, 4, 2, 2, 2, 1, 0, 2, 0, 2, 3, 3, 4, 4, 3, 0, 1, 0, 4, 1, 1, 0, 2, 2, 4, 1, 4, 0, 3, 0, 1, 1, 4, 2, 3, 0, 0, 0, 2, 3, 0, 1, 3, 3, 1, 4, 0, 0, 3, 4, 2, 2, 4, 2, 2, 2, 1, 3, 2, 1, 4, 0, 3, 3, 1, 3, 1, 3, 1, 2, 0, 4, 2, 1, 2, 2, 1, 2, 4, 3, 0, 4, 0, 0, 0, 3, 2, 0, 3, 4, 3, 2, 2, 4, 1, 0, 3, 1, 4, 2, 4, 4, 4, 0, 2, 2, 2] pubkeycol1365 = [0, 1, 2, 1, 1, 0, 1, 3, 3, 2, 2, 3, 2, 3, 4, 2, 3, 0, 0, 1, 1, 2, 3, 0, 0, 3, 4, 3, 1, 3, 4, 1, 2, 1, 2, 1, 4, 3, 4, 3, 3, 0, 1, 3, 2, 3, 1, 1, 0, 1, 3, 2, 1, 2, 3, 2, 0, 2, 1, 3, 0, 4, 3, 0, 1, 3, 2, 3, 3, 3, 0, 3, 0, 0, 0, 0, 1, 4, 2, 0, 2, 3, 2, 2, 3, 4, 4, 2, 1, 0, 3, 4, 2, 2, 4, 2, 1, 4, 4, 2, 3, 3, 0, 0, 3, 4, 0, 0, 1, 1, 3, 1, 0, 4, 4, 3, 3, 2, 0, 2, 1, 1, 3, 0, 2, 0, 3, 1, 2, 3, 3, 0, 0, 4, 0, 1, 4, 2, 1, 1, 3, 2, 4, 0, 1, 0, 2, 0, 1, 0, 3, 2, 1, 3, 1, 3, 3, 1, 0, 0, 4, 4, 1, 1, 3, 0, 3, 2, 4, 4, 1, 4, 3, 3, 1, 0, 1, 3, 2, 2, 1, 3, 2, 4, 0, 2, 4, 4, 3, 3, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 4, 1, 4, 3, 1, 2, 3, 4, 0, 0, 0, 2, 0, 3, 1, 3, 1, 0, 2, 0, 1, 3, 0, 2, 2, 2, 0, 0, 1, 3, 4, 2, 4, 1, 0, 1, 3, 0, 2, 0, 3, 4, 4, 2, 4, 1, 4, 1, 4, 0, 0, 2, 1, 3, 0, 2, 4, 4, 4, 3, 2, 2, 3, 3, 0, 4, 0, 2, 2, 4, 3, 1, 2, 0, 2, 0, 2, 3, 3, 4, 1, 3, 2, 0, 0, 4, 4, 2, 4, 4, 0, 2, 2, 2, 4, 2, 0, 3, 4, 0, 0, 3, 3, 4, 3, 1, 4, 3, 3, 3, 4, 4, 2, 3, 0, 3, 4, 1, 0, 1, 2, 0, 1, 4, 4, 2, 4, 0, 2, 1, 2, 3, 3, 0, 1, 3, 3, 0, 1, 2, 4, 3, 1, 0, 4, 3, 4, 2, 1, 2, 2, 0, 0, 0, 1, 3, 0, 2, 2, 3, 3, 1, 0, 2, 2, 4, 2, 1, 2, 0, 2, 2, 4, 1, 3, 3, 1, 2, 1, 4, 4, 0, 3, 0, 2, 4, 1, 0, 2, 2, 4, 2, 1, 2, 0, 3, 2, 0, 3, 3, 3, 2, 1, 1, 1, 3, 0, 0, 3, 1, 1, 3, 1, 2, 4, 0, 3, 3, 3, 3, 4, 1, 1, 3, 2, 0, 4, 0, 0, 2, 0, 0, 0, 3, 3, 3, 3, 1, 3, 0, 3, 4, 4, 4, 3, 0, 1, 4, 2, 2, 1, 3, 3, 3, 1, 3, 3, 0, 2, 0, 0, 4, 1, 2, 0, 3, 4, 2, 0, 1, 3, 4, 3, 3, 2, 2, 2, 4, 4] pubkeycol1366 = [1, 2, 0, 2, 4, 0, 2, 3, 2, 2, 1, 0, 1, 2, 1, 1, 4, 0, 2, 1, 3, 0, 1, 2, 2, 2, 4, 2, 1, 3, 4, 1, 3, 4, 3, 2, 1, 3, 0, 4, 4, 1, 2, 3, 1, 2, 2, 0, 2, 3, 0, 0, 3, 0, 2, 1, 0, 3, 0, 2, 2, 1, 4, 0, 2, 1, 3, 3, 3, 2, 3, 0, 0, 2, 1, 3, 3, 3, 1, 4, 3, 3, 2, 2, 0, 1, 1, 2, 4, 3, 4, 1, 1, 0, 1, 0, 3, 2, 1, 1, 0, 3, 0, 3, 0, 3, 4, 0, 1, 2, 4, 3, 0, 3, 3, 2, 0, 0, 0, 2, 0, 0, 2, 1, 4, 4, 3, 3, 0, 3, 0, 3, 0, 0, 1, 4, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 4, 0, 3, 4, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 1, 3, 3, 1, 3, 1, 0, 4, 1, 1, 1, 3, 3, 2, 1, 4, 4, 3, 3, 3, 1, 3, 1, 0, 0, 0, 1, 3, 4, 4, 4, 2, 4, 4, 3, 0, 2, 4, 0, 1, 4, 2, 2, 4, 0, 4, 0, 1, 0, 1, 0, 3, 4, 3, 4, 0, 4, 3, 4, 1, 2, 0, 4, 2, 4, 0, 0, 3, 0, 0, 4, 2, 4, 0, 4, 1, 2, 2, 2, 1, 3, 2, 3, 4, 2, 1, 2, 4, 1, 1, 3, 2, 2, 0, 0, 3, 3, 3, 2, 0, 0, 4, 2, 0, 3, 4, 3, 0, 3, 3, 1, 2, 3, 0, 3, 0, 1, 4, 0, 3, 1, 2, 3, 0, 3, 1, 1, 3, 4, 3, 0, 1, 4, 3, 0, 1, 1, 1, 4, 2, 1, 1, 2, 0, 3, 4, 0, 4, 4, 1, 4, 4, 4, 2, 4, 1, 3, 0, 4, 4, 2, 0, 4, 2, 0, 0, 3, 0, 1, 4, 2, 2, 4, 4, 1, 3, 2, 2, 2, 2, 0, 4, 3, 2, 4, 1, 3, 3, 1, 0, 1, 3, 4, 2, 2, 3, 1, 1, 4, 3, 4, 3, 3, 0, 3, 4, 1, 0, 3, 2, 0, 2, 1, 0, 2, 4, 2, 0, 4, 4, 2, 2, 0, 2, 0, 2, 1, 1, 2, 3, 3, 4, 0, 3, 2, 4, 2, 0, 3, 0, 4, 4, 4, 4, 3, 3, 1, 3, 2, 4, 1, 4, 3, 0, 4, 4, 0, 1, 0, 1, 2, 2, 2, 0, 0, 4, 3, 1, 0, 4, 1, 3, 2, 0, 3, 2, 1, 3, 4, 2, 2, 3, 4, 3, 1, 1, 3, 2, 1, 3, 1, 3, 1, 2, 4, 1, 3, 2, 3, 2, 0, 1, 4, 1, 3, 4, 1, 3, 3, 4, 3, 3, 0, 1, 0, 4, 0, 2] pubkeycol1367 = [0, 3, 0, 2, 3, 2, 3, 2, 3, 0, 2, 4, 4, 0, 1, 1, 1, 1, 4, 1, 4, 1, 2, 3, 3, 4, 3, 3, 1, 1, 4, 0, 4, 2, 1, 1, 1, 4, 1, 0, 3, 3, 0, 2, 1, 4, 3, 1, 2, 0, 1, 1, 1, 0, 4, 1, 2, 0, 2, 0, 0, 3, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 3, 4, 1, 0, 2, 1, 4, 3, 3, 0, 1, 1, 1, 2, 2, 1, 0, 3, 4, 2, 1, 4, 1, 3, 0, 4, 0, 3, 0, 0, 0, 1, 4, 4, 2, 0, 4, 1, 4, 2, 0, 2, 4, 0, 3, 0, 3, 2, 0, 0, 2, 0, 0, 1, 3, 3, 2, 2, 4, 1, 2, 1, 3, 3, 0, 4, 3, 1, 0, 4, 0, 3, 1, 2, 1, 3, 3, 1, 4, 4, 1, 1, 4, 2, 3, 2, 3, 3, 4, 1, 3, 3, 3, 2, 4, 2, 1, 0, 4, 4, 4, 1, 0, 3, 2, 2, 3, 0, 0, 3, 1, 0, 3, 1, 2, 3, 1, 1, 4, 2, 0, 1, 2, 0, 0, 0, 0, 2, 3, 3, 4, 4, 2, 1, 4, 0, 1, 2, 4, 2, 2, 1, 1, 3, 4, 1, 2, 2, 3, 2, 1, 4, 1, 4, 4, 2, 0, 4, 1, 1, 2, 4, 0, 2, 2, 3, 0, 2, 3, 2, 3, 3, 0, 4, 4, 4, 1, 2, 1, 2, 4, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 3, 2, 2, 0, 1, 1, 2, 0, 1, 2, 3, 4, 4, 1, 1, 2, 4, 3, 0, 2, 2, 1, 1, 3, 2, 0, 3, 4, 4, 2, 2, 1, 2, 3, 2, 4, 1, 4, 1, 1, 0, 2, 3, 1, 4, 1, 4, 0, 3, 4, 1, 3, 2, 0, 3, 4, 0, 0, 2, 4, 3, 2, 0, 2, 3, 1, 0, 0, 0, 4, 0, 0, 3, 3, 4, 2, 2, 2, 3, 2, 2, 1, 1, 3, 1, 0, 4, 0, 1, 2, 0, 1, 3, 1, 1, 2, 2, 3, 3, 2, 0, 0, 4, 3, 0, 4, 2, 2, 0, 3, 2, 4, 0, 3, 1, 1, 2, 1, 1, 0, 3, 3, 3, 0, 0, 0, 4, 2, 4, 2, 2, 4, 4, 2, 0, 2, 4, 4, 3, 4, 2, 4, 1, 2, 3, 2, 3, 4, 1, 0, 4, 2, 4, 2, 4, 1, 4, 4, 3, 0, 3, 0, 2, 4, 0, 0, 4, 2, 4, 3, 0, 3, 1, 3, 2, 0, 1, 2, 4, 0, 0, 2, 2, 4, 2, 2, 3, 4, 2, 3, 4, 1, 3, 2, 4, 0, 3, 1, 2, 1, 0, 2, 2, 1, 1, 4, 4, 2, 2, 3, 1, 3, 4] pubkeycol1368 = [4, 4, 0, 4, 3, 3, 0, 0, 1, 4, 3, 0, 1, 2, 2, 3, 4, 0, 0, 0, 0, 0, 4, 4, 3, 1, 0, 3, 4, 0, 4, 2, 4, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 3, 2, 3, 4, 1, 1, 1, 1, 2, 3, 3, 3, 1, 4, 0, 2, 1, 4, 1, 2, 4, 2, 2, 0, 4, 4, 4, 0, 4, 0, 3, 2, 2, 2, 2, 4, 3, 0, 2, 0, 2, 0, 3, 0, 1, 0, 4, 3, 2, 0, 0, 0, 2, 0, 3, 1, 0, 0, 1, 0, 1, 0, 0, 3, 3, 0, 3, 1, 4, 1, 1, 1, 1, 4, 4, 4, 3, 1, 1, 3, 4, 4, 0, 4, 3, 4, 3, 0, 3, 3, 4, 2, 0, 1, 4, 0, 2, 0, 3, 2, 1, 3, 2, 2, 3, 0, 0, 4, 2, 3, 3, 3, 0, 1, 2, 3, 0, 2, 3, 0, 2, 0, 1, 0, 4, 1, 4, 2, 1, 4, 0, 3, 2, 0, 0, 0, 3, 2, 0, 0, 3, 0, 2, 2, 1, 1, 1, 1, 4, 1, 3, 4, 2, 3, 4, 4, 1, 4, 2, 2, 0, 1, 0, 2, 4, 1, 3, 1, 2, 3, 1, 4, 2, 0, 1, 3, 0, 0, 1, 4, 1, 4, 4, 1, 2, 3, 3, 2, 1, 3, 4, 0, 3, 3, 2, 4, 3, 3, 4, 4, 3, 0, 0, 2, 0, 3, 1, 4, 2, 4, 3, 3, 1, 0, 4, 0, 0, 0, 0, 1, 3, 0, 2, 2, 2, 0, 3, 1, 1, 3, 0, 4, 4, 2, 0, 0, 3, 0, 0, 1, 3, 1, 0, 0, 1, 1, 0, 4, 4, 3, 0, 0, 2, 0, 4, 1, 4, 1, 4, 0, 2, 4, 3, 3, 2, 1, 2, 0, 0, 1, 3, 3, 3, 1, 4, 2, 1, 1, 4, 1, 0, 0, 2, 0, 1, 4, 3, 1, 0, 1, 2, 2, 3, 2, 0, 4, 4, 1, 4, 1, 3, 3, 3, 3, 1, 3, 2, 0, 0, 0, 2, 4, 3, 1, 1, 2, 3, 2, 1, 2, 4, 1, 3, 0, 4, 2, 0, 1, 3, 4, 1, 2, 1, 0, 3, 4, 2, 1, 0, 1, 4, 0, 4, 0, 1, 1, 2, 0, 1, 4, 4, 0, 3, 2, 4, 1, 4, 4, 3, 1, 0, 2, 2, 0, 4, 2, 4, 0, 1, 2, 0, 3, 1, 0, 4, 1, 3, 4, 0, 3, 4, 4, 4, 1, 0, 2, 4, 1, 4, 1, 4, 0, 4, 1, 2, 3, 0, 2, 2, 1, 1, 2, 1, 4, 4, 3, 3, 4, 0, 1, 2, 1, 0, 4, 3, 1, 3, 3, 1, 4, 3, 0, 2, 3, 4, 3, 0, 0, 2, 4, 2, 2, 2, 2, 0, 0, 1] pubkeycol1369 = [0, 1, 2, 0, 1, 2, 1, 3, 0, 0, 2, 4, 3, 2, 3, 4, 2, 0, 2, 1, 2, 4, 4, 1, 3, 1, 3, 2, 0, 4, 1, 3, 0, 0, 0, 3, 4, 2, 1, 2, 4, 0, 3, 3, 1, 3, 4, 2, 0, 3, 2, 3, 4, 2, 3, 0, 0, 4, 4, 1, 4, 0, 4, 2, 4, 2, 2, 0, 2, 0, 3, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 3, 1, 3, 1, 0, 3, 2, 3, 1, 4, 1, 4, 0, 1, 0, 0, 0, 4, 0, 2, 1, 3, 1, 3, 4, 3, 4, 0, 2, 4, 3, 0, 0, 2, 4, 3, 3, 4, 3, 0, 4, 1, 0, 0, 1, 4, 0, 3, 4, 1, 3, 4, 0, 3, 4, 3, 3, 2, 1, 4, 0, 2, 1, 1, 2, 4, 2, 1, 1, 2, 1, 2, 0, 4, 4, 4, 4, 2, 1, 1, 0, 2, 1, 0, 4, 0, 0, 0, 0, 4, 1, 0, 1, 1, 1, 4, 3, 1, 3, 2, 3, 0, 0, 2, 2, 1, 2, 3, 4, 4, 0, 1, 1, 0, 0, 3, 2, 3, 2, 3, 4, 2, 1, 3, 4, 4, 4, 1, 2, 3, 2, 4, 1, 3, 0, 3, 0, 4, 4, 0, 1, 4, 0, 4, 2, 4, 4, 2, 4, 2, 2, 0, 3, 1, 2, 0, 0, 4, 0, 2, 2, 3, 4, 1, 3, 0, 3, 4, 4, 1, 0, 1, 1, 2, 0, 0, 4, 1, 0, 2, 3, 3, 0, 1, 2, 1, 1, 1, 1, 2, 0, 3, 3, 2, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 0, 1, 2, 4, 3, 3, 3, 3, 3, 3, 4, 0, 0, 0, 1, 0, 3, 2, 3, 4, 2, 0, 2, 0, 3, 2, 4, 0, 2, 4, 1, 4, 0, 1, 1, 1, 3, 3, 4, 3, 2, 4, 2, 3, 4, 2, 0, 0, 0, 0, 3, 1, 4, 3, 0, 3, 0, 3, 4, 4, 4, 3, 1, 1, 4, 0, 0, 4, 1, 2, 1, 1, 4, 3, 4, 4, 3, 2, 3, 1, 4, 4, 4, 1, 2, 0, 2, 3, 0, 4, 3, 4, 2, 3, 3, 0, 0, 2, 3, 3, 3, 2, 4, 3, 2, 4, 4, 0, 0, 1, 4, 3, 0, 3, 4, 0, 3, 1, 4, 2, 0, 1, 0, 2, 3, 1, 0, 1, 1, 2, 2, 3, 2, 4, 2, 2, 0, 3, 1, 0, 4, 4, 0, 1, 1, 0, 4, 3, 1, 3, 0, 4, 4, 2, 4, 4, 4, 2, 3, 0, 1, 2, 1, 2, 0, 3, 2, 0, 0, 4, 4, 2, 3, 1, 0, 4, 0, 1, 4, 0, 2, 3, 4, 2, 1, 2, 1, 2, 3, 1, 0, 2, 0, 4, 0] pubkeycol1370 = [0, 3, 3, 0, 1, 1, 0, 4, 0, 4, 4, 4, 3, 4, 0, 4, 3, 2, 3, 4, 4, 0, 2, 2, 2, 0, 1, 3, 3, 4, 4, 2, 2, 4, 1, 2, 3, 2, 2, 0, 0, 1, 1, 4, 1, 3, 0, 3, 3, 0, 0, 2, 2, 3, 2, 4, 1, 2, 3, 1, 2, 3, 3, 2, 3, 2, 4, 3, 2, 4, 4, 0, 0, 3, 4, 0, 4, 3, 2, 1, 4, 2, 1, 4, 4, 2, 3, 2, 3, 1, 0, 4, 0, 0, 3, 2, 1, 1, 4, 2, 3, 4, 1, 4, 1, 0, 2, 1, 1, 4, 4, 4, 2, 3, 3, 1, 0, 1, 0, 1, 0, 1, 4, 4, 4, 0, 4, 2, 3, 4, 0, 1, 4, 2, 3, 1, 2, 4, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 4, 3, 1, 1, 2, 1, 2, 0, 0, 2, 1, 3, 3, 2, 4, 1, 1, 4, 3, 1, 4, 3, 0, 4, 2, 3, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 3, 4, 1, 0, 1, 1, 4, 2, 4, 2, 0, 3, 1, 1, 0, 1, 3, 2, 2, 0, 2, 0, 0, 4, 0, 0, 3, 4, 0, 3, 0, 4, 1, 4, 2, 1, 4, 0, 0, 3, 2, 1, 0, 0, 2, 4, 0, 3, 4, 3, 1, 0, 2, 3, 4, 3, 0, 1, 0, 2, 1, 1, 1, 2, 4, 0, 2, 4, 3, 4, 0, 2, 1, 1, 0, 1, 0, 4, 3, 1, 0, 4, 2, 3, 0, 2, 1, 1, 0, 4, 2, 0, 0, 4, 3, 0, 0, 4, 2, 1, 2, 2, 4, 0, 0, 2, 3, 4, 0, 3, 2, 2, 1, 0, 0, 4, 2, 2, 2, 2, 4, 3, 3, 1, 0, 0, 3, 1, 3, 3, 2, 3, 3, 2, 3, 0, 2, 2, 3, 1, 2, 0, 2, 1, 0, 2, 4, 3, 4, 1, 1, 4, 3, 2, 1, 2, 3, 4, 2, 3, 4, 0, 4, 3, 0, 2, 4, 4, 1, 0, 3, 0, 1, 4, 0, 2, 0, 2, 1, 4, 3, 2, 3, 2, 0, 2, 2, 1, 0, 4, 0, 1, 4, 4, 0, 2, 2, 3, 0, 1, 1, 0, 1, 4, 3, 3, 0, 0, 0, 0, 4, 4, 3, 3, 0, 3, 3, 3, 0, 2, 0, 2, 1, 1, 0, 1, 3, 4, 1, 2, 2, 4, 1, 4, 4, 2, 0, 4, 2, 1, 2, 2, 3, 0, 0, 3, 3, 0, 3, 4, 2, 1, 2, 3, 3, 2, 1, 3, 3, 4, 1, 4, 0, 0, 4, 2, 1, 1, 0, 0, 0, 1, 1, 0, 4, 0, 4, 3, 3, 2, 0, 0, 4, 1, 2, 3, 3, 2, 1, 4] pubkeycol1371 = [0, 1, 4, 3, 4, 4, 1, 2, 0, 0, 2, 2, 0, 1, 4, 2, 2, 2, 0, 1, 3, 1, 3, 1, 1, 1, 4, 4, 2, 1, 4, 1, 2, 1, 0, 2, 2, 0, 3, 2, 3, 0, 4, 0, 1, 2, 1, 4, 3, 0, 4, 2, 2, 3, 2, 1, 4, 2, 2, 2, 2, 1, 1, 2, 4, 0, 3, 2, 4, 4, 0, 1, 3, 4, 0, 4, 1, 2, 0, 2, 3, 0, 1, 0, 1, 3, 3, 1, 3, 1, 1, 0, 3, 3, 4, 0, 3, 0, 2, 0, 2, 3, 0, 2, 3, 0, 0, 4, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 3, 4, 3, 4, 2, 3, 4, 0, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 0, 4, 3, 3, 4, 1, 4, 2, 0, 2, 4, 1, 2, 4, 4, 2, 0, 4, 3, 0, 3, 1, 2, 2, 2, 2, 4, 0, 2, 3, 2, 4, 4, 0, 4, 2, 4, 1, 3, 4, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 4, 2, 3, 0, 1, 2, 3, 0, 4, 4, 3, 4, 2, 0, 4, 4, 1, 3, 2, 1, 2, 3, 3, 2, 2, 4, 2, 4, 4, 1, 1, 1, 4, 4, 3, 2, 1, 3, 3, 4, 3, 1, 1, 2, 0, 3, 0, 3, 3, 3, 4, 2, 3, 0, 3, 4, 4, 4, 0, 4, 0, 1, 3, 3, 2, 0, 4, 1, 2, 0, 1, 4, 0, 2, 1, 2, 4, 2, 1, 1, 1, 1, 2, 1, 4, 2, 4, 2, 2, 0, 2, 2, 2, 3, 3, 4, 4, 4, 1, 0, 3, 1, 3, 4, 3, 2, 1, 1, 3, 1, 1, 4, 1, 1, 3, 4, 2, 1, 4, 4, 4, 4, 4, 4, 0, 2, 4, 1, 0, 0, 2, 3, 4, 4, 1, 0, 3, 2, 2, 0, 4, 0, 0, 4, 3, 0, 4, 3, 0, 3, 0, 0, 3, 1, 2, 2, 4, 3, 1, 4, 4, 0, 0, 1, 4, 4, 4, 3, 1, 4, 1, 3, 4, 2, 4, 3, 0, 1, 1, 4, 4, 2, 1, 3, 4, 3, 3, 3, 0, 0, 1, 2, 4, 0, 2, 3, 3, 1, 2, 3, 3, 2, 0, 4, 4, 4, 0, 0, 3, 2, 2, 1, 3, 1, 1, 2, 2, 3, 2, 0, 1, 2, 1, 2, 2, 1, 3, 3, 1, 0, 2, 0, 3, 1, 2, 4, 3, 3, 1, 1, 0, 1, 2, 2, 4, 0, 0, 3, 0, 2, 4, 4, 4, 1, 4, 2, 0, 4, 0, 1, 2, 3, 4, 1, 4, 4, 2, 0, 4, 1, 2, 1, 0, 0, 2, 4, 3, 0, 4, 0, 4, 4, 4, 2, 4, 2, 4, 2, 1, 4] pubkeycol1372 = [4, 2, 1, 4, 1, 2, 0, 2, 3, 4, 4, 4, 3, 2, 3, 2, 3, 4, 1, 2, 4, 4, 4, 0, 1, 3, 0, 4, 0, 2, 4, 1, 0, 4, 4, 3, 0, 2, 0, 2, 4, 4, 4, 1, 1, 0, 2, 0, 3, 4, 4, 3, 2, 0, 4, 0, 0, 3, 4, 1, 2, 2, 0, 4, 3, 1, 0, 1, 0, 2, 4, 0, 3, 0, 4, 0, 2, 0, 4, 1, 1, 1, 3, 4, 1, 0, 1, 2, 3, 2, 1, 4, 1, 3, 1, 0, 4, 2, 4, 4, 0, 0, 3, 0, 1, 3, 2, 1, 0, 1, 2, 3, 0, 0, 4, 2, 3, 0, 1, 4, 1, 0, 3, 2, 4, 1, 1, 0, 2, 2, 4, 4, 2, 4, 1, 4, 2, 4, 1, 3, 0, 0, 3, 4, 0, 0, 4, 2, 3, 4, 1, 4, 4, 3, 0, 3, 0, 2, 4, 3, 0, 0, 4, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 1, 4, 3, 3, 2, 4, 0, 0, 1, 0, 0, 0, 2, 2, 1, 4, 1, 4, 4, 2, 4, 4, 0, 4, 1, 0, 1, 2, 4, 1, 1, 2, 3, 4, 1, 0, 0, 4, 3, 2, 2, 3, 4, 4, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 4, 1, 1, 3, 1, 0, 1, 2, 3, 2, 4, 4, 3, 3, 4, 2, 2, 1, 4, 0, 4, 2, 3, 0, 0, 1, 1, 2, 4, 3, 0, 3, 4, 4, 2, 2, 2, 0, 2, 2, 4, 2, 1, 2, 4, 1, 1, 1, 3, 2, 4, 3, 4, 1, 0, 4, 3, 1, 4, 4, 4, 1, 3, 2, 2, 0, 3, 4, 1, 3, 2, 0, 0, 0, 4, 1, 3, 4, 0, 1, 2, 1, 2, 3, 1, 0, 1, 1, 0, 3, 2, 1, 0, 3, 1, 4, 2, 2, 2, 2, 0, 2, 3, 4, 1, 3, 2, 1, 3, 1, 0, 1, 3, 1, 0, 2, 4, 4, 4, 3, 3, 0, 3, 2, 3, 0, 3, 4, 0, 2, 0, 2, 4, 4, 1, 0, 0, 1, 4, 3, 3, 2, 2, 0, 0, 3, 4, 2, 4, 0, 3, 3, 4, 1, 4, 1, 4, 0, 4, 3, 3, 0, 4, 3, 2, 2, 2, 2, 2, 2, 0, 4, 0, 2, 1, 4, 1, 2, 0, 1, 4, 0, 1, 2, 1, 1, 4, 4, 1, 2, 2, 0, 0, 2, 0, 2, 2, 3, 1, 3, 0, 2, 0, 4, 4, 3, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 3, 3, 0, 3, 0, 1, 2, 0, 0, 2, 2, 4, 2, 1, 4, 3, 4, 0, 0, 3, 4, 3, 4, 0, 1, 0, 4, 3, 4, 1, 2, 1, 0, 1] pubkeycol1373 = [1, 1, 4, 1, 1, 0, 3, 3, 3, 0, 0, 1, 2, 4, 4, 2, 0, 4, 3, 1, 0, 0, 3, 4, 3, 0, 4, 3, 2, 4, 2, 4, 1, 2, 1, 2, 4, 4, 3, 3, 0, 3, 3, 4, 4, 2, 1, 3, 2, 0, 0, 2, 4, 1, 1, 2, 1, 0, 4, 1, 1, 3, 4, 3, 1, 0, 2, 4, 0, 2, 4, 4, 1, 2, 4, 4, 4, 2, 4, 4, 0, 3, 1, 1, 2, 1, 2, 1, 1, 2, 1, 4, 2, 4, 3, 1, 3, 2, 0, 4, 2, 4, 3, 0, 2, 2, 4, 2, 0, 4, 1, 2, 2, 4, 1, 3, 2, 2, 0, 4, 1, 4, 0, 0, 0, 4, 1, 2, 3, 0, 0, 0, 3, 0, 3, 3, 0, 2, 4, 1, 0, 4, 3, 1, 3, 4, 3, 2, 4, 2, 3, 4, 4, 1, 3, 1, 1, 4, 2, 1, 1, 0, 4, 4, 1, 3, 4, 3, 3, 0, 3, 0, 1, 0, 3, 2, 4, 4, 3, 4, 1, 4, 2, 0, 3, 2, 1, 2, 1, 4, 1, 0, 2, 3, 4, 3, 1, 2, 3, 3, 1, 0, 0, 2, 2, 2, 3, 3, 1, 4, 0, 1, 2, 0, 2, 4, 0, 1, 0, 0, 0, 3, 4, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 3, 0, 4, 3, 4, 3, 3, 1, 2, 2, 3, 1, 1, 0, 4, 2, 0, 0, 2, 2, 0, 2, 3, 1, 0, 3, 1, 1, 1, 0, 3, 4, 2, 0, 1, 0, 0, 0, 0, 3, 0, 1, 4, 3, 2, 4, 4, 4, 0, 1, 1, 2, 1, 2, 4, 4, 3, 2, 0, 3, 2, 0, 2, 4, 0, 0, 4, 1, 0, 0, 4, 2, 3, 1, 4, 3, 0, 0, 0, 3, 3, 0, 2, 4, 3, 0, 1, 3, 1, 0, 0, 3, 3, 0, 1, 0, 1, 1, 3, 0, 1, 0, 1, 1, 1, 2, 0, 2, 4, 3, 1, 4, 4, 2, 2, 2, 3, 0, 2, 0, 1, 2, 4, 0, 4, 4, 0, 0, 3, 0, 4, 2, 0, 4, 2, 2, 4, 4, 1, 2, 1, 0, 0, 2, 2, 3, 4, 3, 1, 3, 4, 0, 4, 1, 0, 4, 4, 4, 0, 3, 2, 2, 1, 2, 0, 0, 4, 3, 2, 2, 3, 0, 0, 1, 2, 2, 0, 1, 0, 1, 4, 0, 0, 3, 0, 0, 3, 0, 4, 0, 1, 2, 4, 0, 3, 0, 0, 2, 2, 1, 4, 3, 3, 3, 1, 4, 3, 2, 2, 0, 3, 3, 0, 3, 2, 0, 4, 0, 2, 2, 0, 2, 0, 3, 3, 3, 1, 4, 3, 1, 2, 4, 2, 4, 2, 2, 2, 0, 2, 4, 1, 1] pubkeycol1374 = [4, 1, 4, 3, 2, 1, 0, 0, 1, 4, 3, 3, 3, 4, 4, 1, 0, 1, 0, 3, 3, 4, 4, 1, 0, 3, 4, 1, 3, 3, 4, 3, 4, 3, 1, 3, 3, 4, 2, 1, 4, 0, 4, 3, 1, 2, 4, 2, 3, 1, 4, 4, 4, 4, 3, 3, 3, 2, 4, 3, 4, 1, 1, 4, 3, 4, 3, 1, 1, 2, 3, 2, 0, 4, 2, 4, 0, 1, 2, 3, 4, 0, 3, 0, 1, 1, 0, 1, 4, 4, 0, 2, 2, 1, 4, 1, 3, 2, 1, 3, 4, 3, 1, 0, 2, 2, 0, 1, 3, 3, 4, 3, 2, 3, 0, 3, 1, 1, 0, 3, 2, 1, 4, 0, 2, 2, 2, 4, 1, 1, 3, 2, 4, 4, 4, 3, 2, 1, 4, 0, 1, 3, 4, 2, 2, 3, 3, 2, 1, 2, 2, 3, 2, 2, 0, 3, 3, 4, 1, 3, 3, 1, 3, 3, 2, 4, 0, 0, 2, 4, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 4, 3, 4, 2, 1, 1, 4, 2, 1, 2, 0, 4, 4, 3, 3, 2, 1, 0, 4, 3, 2, 0, 1, 2, 4, 1, 3, 0, 4, 3, 0, 0, 1, 4, 1, 0, 1, 1, 0, 3, 1, 2, 2, 0, 1, 4, 4, 2, 0, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 1, 4, 1, 2, 2, 2, 3, 0, 1, 4, 1, 0, 0, 2, 3, 1, 2, 0, 2, 4, 4, 3, 2, 0, 4, 3, 2, 4, 1, 1, 3, 1, 1, 1, 2, 1, 4, 1, 1, 3, 1, 4, 2, 3, 4, 3, 1, 1, 1, 4, 2, 4, 4, 1, 1, 4, 4, 4, 0, 2, 4, 1, 4, 3, 0, 3, 1, 4, 0, 2, 0, 0, 3, 1, 4, 0, 2, 2, 2, 0, 1, 0, 4, 1, 3, 2, 2, 1, 4, 3, 0, 0, 1, 4, 2, 0, 3, 2, 3, 3, 4, 3, 3, 3, 4, 1, 2, 3, 2, 1, 3, 4, 3, 4, 1, 1, 1, 1, 4, 2, 4, 4, 4, 1, 0, 1, 0, 2, 3, 2, 2, 3, 1, 4, 0, 4, 3, 3, 4, 4, 2, 3, 0, 3, 3, 2, 1, 1, 4, 2, 0, 1, 0, 0, 3, 0, 2, 0, 4, 2, 0, 4, 2, 3, 4, 0, 1, 2, 4, 0, 0, 0, 1, 4, 4, 3, 4, 0, 0, 0, 4, 0, 0, 4, 4, 3, 3, 2, 3, 4, 3, 2, 0, 0, 0, 1, 2, 3, 4, 2, 2, 2, 4, 0, 2, 1, 2, 2, 2, 4, 3, 2, 0, 0, 1, 0, 2, 4, 4, 2, 2, 2, 2, 1, 2, 0, 1, 3, 3, 2, 4, 0, 3, 2, 3, 4, 3, 4, 1, 0, 2] pubkeycol1375 = [0, 4, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 4, 3, 0, 4, 4, 2, 2, 0, 1, 3, 2, 4, 0, 0, 1, 2, 4, 1, 3, 1, 2, 3, 1, 0, 2, 1, 1, 4, 0, 2, 1, 1, 3, 2, 2, 1, 3, 3, 1, 0, 0, 4, 2, 2, 0, 2, 4, 1, 0, 1, 1, 1, 3, 3, 0, 0, 1, 1, 2, 4, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 4, 2, 1, 0, 4, 3, 0, 0, 4, 1, 0, 4, 0, 0, 3, 4, 1, 2, 0, 1, 3, 1, 0, 2, 3, 2, 2, 4, 3, 2, 0, 4, 4, 1, 3, 4, 3, 1, 1, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 1, 1, 3, 1, 3, 0, 4, 0, 1, 2, 1, 0, 2, 2, 4, 0, 1, 2, 2, 0, 2, 4, 1, 4, 2, 0, 1, 4, 3, 1, 2, 2, 3, 3, 3, 3, 4, 0, 4, 3, 4, 3, 4, 2, 3, 3, 3, 2, 3, 2, 2, 0, 1, 3, 0, 0, 4, 1, 4, 3, 3, 0, 1, 1, 0, 0, 2, 3, 4, 3, 2, 4, 2, 4, 0, 0, 3, 3, 4, 3, 1, 0, 0, 0, 0, 1, 0, 4, 1, 2, 3, 2, 2, 3, 4, 1, 4, 1, 3, 0, 2, 0, 3, 4, 4, 3, 4, 4, 4, 3, 4, 1, 0, 4, 1, 0, 0, 2, 0, 3, 4, 3, 0, 2, 4, 3, 3, 2, 1, 0, 3, 1, 0, 3, 3, 1, 0, 1, 4, 0, 2, 4, 4, 4, 0, 4, 1, 0, 4, 4, 4, 4, 2, 2, 1, 0, 2, 0, 1, 4, 4, 2, 3, 4, 4, 2, 0, 1, 1, 3, 1, 0, 0, 4, 0, 1, 2, 1, 2, 4, 3, 4, 1, 1, 1, 2, 4, 0, 4, 0, 3, 2, 3, 1, 2, 2, 4, 4, 4, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 3, 4, 4, 0, 3, 0, 4, 2, 4, 2, 3, 2, 4, 2, 1, 4, 0, 1, 2, 1, 2, 4, 3, 0, 2, 0, 2, 2, 3, 3, 2, 0, 3, 1, 1, 2, 3, 4, 1, 3, 4, 3, 2, 1, 2, 3, 0, 3, 2, 2, 3, 3, 2, 3, 1, 1, 4, 2, 1, 0, 2, 4, 2, 4, 2, 3, 0, 1, 0, 3, 0, 0, 2, 4, 4, 4, 0, 4, 1, 4, 1, 0, 1, 1, 1, 3, 4, 2, 0, 3, 1, 3, 4, 4, 1, 4, 1, 3, 3, 2, 3, 2, 4, 0, 3, 1, 0, 3, 3, 4, 2, 2, 1, 0, 3, 2, 0, 1, 3, 2, 2, 3, 0, 0, 1, 2, 0, 1, 3, 0, 2, 1, 4, 0, 2] pubkeycol1376 = [0, 3, 4, 4, 3, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 4, 4, 3, 2, 0, 2, 2, 2, 4, 0, 2, 0, 0, 1, 0, 1, 2, 4, 0, 0, 4, 1, 2, 0, 2, 4, 2, 2, 0, 1, 2, 0, 0, 2, 0, 4, 4, 3, 3, 3, 3, 0, 4, 2, 4, 0, 3, 3, 1, 3, 4, 2, 0, 2, 1, 4, 4, 0, 1, 2, 0, 2, 4, 3, 4, 3, 2, 3, 0, 2, 1, 0, 1, 3, 3, 0, 1, 3, 3, 2, 1, 0, 2, 3, 2, 2, 1, 3, 0, 3, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 3, 4, 4, 2, 3, 0, 4, 3, 1, 3, 1, 1, 1, 1, 4, 4, 1, 4, 4, 4, 4, 4, 0, 2, 4, 4, 2, 4, 2, 3, 2, 3, 2, 1, 1, 2, 1, 1, 1, 3, 4, 4, 4, 4, 2, 1, 3, 0, 0, 1, 1, 4, 1, 0, 3, 1, 4, 4, 2, 4, 0, 0, 1, 3, 1, 4, 1, 0, 3, 1, 1, 1, 3, 2, 2, 4, 2, 2, 3, 2, 4, 4, 0, 2, 1, 3, 0, 1, 4, 1, 3, 2, 0, 1, 0, 3, 4, 2, 0, 2, 1, 2, 3, 0, 2, 0, 1, 2, 2, 1, 3, 1, 1, 2, 4, 1, 0, 2, 3, 0, 1, 1, 2, 2, 0, 1, 3, 0, 3, 1, 1, 4, 3, 1, 1, 4, 3, 3, 4, 2, 0, 3, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 0, 0, 2, 1, 2, 1, 1, 3, 0, 1, 3, 2, 3, 1, 1, 4, 1, 3, 2, 3, 3, 0, 1, 2, 1, 4, 4, 0, 2, 1, 2, 3, 4, 0, 3, 2, 1, 4, 2, 4, 4, 3, 3, 2, 1, 4, 2, 4, 3, 1, 1, 1, 3, 2, 4, 2, 4, 3, 4, 2, 0, 4, 0, 4, 1, 2, 3, 4, 3, 3, 4, 0, 3, 4, 1, 3, 1, 0, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 4, 3, 4, 2, 0, 3, 4, 0, 3, 2, 4, 0, 0, 4, 1, 2, 1, 1, 3, 0, 4, 2, 1, 4, 0, 3, 0, 0, 4, 1, 0, 0, 1, 3, 1, 0, 2, 1, 1, 2, 2, 4, 4, 2, 4, 4, 2, 4, 1, 1, 0, 4, 2, 2, 0, 0, 4, 1, 2, 2, 4, 0, 1, 4, 4, 4, 0, 0, 0, 2, 0, 3, 1, 0, 3, 4, 1, 0, 0, 0, 2, 0, 3, 2, 0, 3, 3, 3, 1, 4, 1, 3, 2, 4, 2, 0, 0, 4, 4, 4, 3, 3, 4, 4, 3, 4, 0, 3, 4, 2, 0, 3, 2, 1, 0] pubkeycol1377 = [1, 2, 3, 3, 2, 0, 0, 3, 4, 3, 2, 0, 1, 1, 3, 1, 0, 1, 0, 3, 2, 0, 0, 4, 1, 0, 2, 1, 2, 4, 0, 0, 4, 4, 4, 3, 1, 1, 2, 0, 0, 2, 4, 4, 2, 3, 1, 1, 3, 1, 2, 4, 0, 1, 1, 4, 1, 3, 1, 4, 1, 0, 3, 0, 1, 2, 1, 0, 4, 0, 1, 1, 4, 2, 4, 4, 2, 0, 0, 1, 3, 3, 3, 3, 1, 4, 3, 0, 3, 4, 1, 4, 1, 1, 0, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 4, 4, 1, 1, 1, 4, 3, 4, 0, 0, 0, 2, 2, 0, 3, 2, 0, 0, 4, 0, 3, 4, 0, 0, 2, 4, 3, 3, 0, 2, 3, 1, 0, 4, 4, 3, 1, 1, 4, 2, 2, 2, 4, 4, 2, 0, 3, 2, 0, 4, 2, 1, 2, 1, 2, 4, 0, 4, 3, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 3, 0, 4, 2, 1, 2, 4, 0, 1, 1, 3, 0, 3, 3, 4, 1, 2, 0, 3, 4, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 0, 2, 0, 1, 4, 0, 3, 2, 0, 3, 2, 2, 0, 4, 3, 0, 3, 2, 1, 0, 3, 0, 1, 4, 1, 1, 2, 4, 3, 3, 4, 1, 2, 3, 1, 0, 0, 4, 0, 3, 3, 4, 1, 0, 4, 0, 2, 4, 3, 4, 1, 0, 3, 1, 3, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 3, 1, 1, 3, 0, 2, 4, 3, 2, 3, 3, 0, 1, 4, 3, 3, 3, 1, 0, 0, 0, 1, 2, 4, 0, 0, 2, 2, 3, 2, 1, 0, 4, 0, 2, 4, 3, 3, 3, 1, 4, 3, 4, 1, 3, 3, 4, 1, 0, 0, 4, 4, 0, 2, 1, 4, 3, 0, 0, 3, 3, 3, 0, 3, 3, 1, 4, 0, 2, 3, 3, 3, 1, 3, 1, 2, 4, 1, 0, 1, 3, 2, 1, 1, 1, 3, 2, 3, 2, 2, 2, 3, 1, 0, 1, 3, 4, 3, 4, 1, 3, 0, 1, 3, 4, 0, 0, 1, 2, 0, 1, 4, 3, 0, 2, 1, 4, 3, 4, 1, 0, 2, 0, 1, 4, 2, 0, 1, 3, 3, 4, 0, 4, 4, 3, 4, 3, 1, 0, 3, 0, 4, 4, 3, 1, 2, 3, 3, 1, 2, 4, 1, 2, 0, 0, 0, 1, 0, 4, 1, 0, 4, 1, 0, 3, 2, 3, 3, 4, 2, 0, 3, 2, 0, 3, 2, 4, 3, 3, 0, 1, 1, 0, 2, 4, 2, 1, 0, 3, 4, 0, 3, 1, 4, 0, 4, 0, 0] pubkeycol1378 = [3, 0, 3, 3, 2, 1, 4, 0, 3, 4, 4, 1, 4, 3, 1, 0, 3, 4, 4, 1, 0, 3, 0, 1, 0, 4, 0, 1, 2, 1, 0, 4, 2, 1, 2, 0, 2, 4, 3, 0, 1, 4, 0, 1, 0, 2, 4, 0, 3, 2, 1, 1, 0, 3, 3, 2, 2, 0, 0, 1, 0, 3, 1, 3, 4, 4, 3, 0, 4, 4, 0, 0, 2, 4, 4, 4, 2, 3, 1, 2, 2, 2, 4, 1, 1, 2, 2, 4, 1, 3, 4, 0, 2, 4, 1, 3, 1, 1, 4, 2, 4, 0, 1, 2, 3, 2, 4, 3, 0, 3, 3, 4, 2, 4, 4, 0, 0, 4, 3, 0, 0, 3, 3, 3, 2, 0, 1, 1, 3, 4, 3, 0, 3, 1, 0, 1, 3, 1, 2, 3, 4, 3, 0, 1, 4, 0, 3, 2, 2, 3, 0, 1, 1, 3, 2, 2, 3, 2, 0, 2, 4, 3, 4, 0, 4, 2, 3, 3, 1, 4, 4, 1, 0, 3, 3, 3, 1, 3, 2, 0, 2, 3, 0, 2, 0, 3, 4, 1, 0, 4, 3, 2, 0, 1, 3, 0, 0, 4, 4, 1, 4, 4, 3, 4, 3, 3, 0, 4, 2, 1, 3, 2, 1, 3, 3, 1, 0, 3, 3, 0, 1, 3, 0, 3, 2, 3, 4, 4, 1, 2, 0, 1, 3, 4, 1, 4, 4, 3, 3, 4, 4, 2, 3, 3, 4, 2, 3, 4, 1, 1, 0, 2, 0, 0, 1, 3, 4, 2, 4, 1, 2, 2, 0, 2, 0, 0, 1, 0, 3, 0, 1, 4, 4, 4, 4, 1, 1, 1, 3, 2, 1, 4, 1, 3, 0, 2, 4, 4, 0, 0, 4, 0, 2, 1, 3, 0, 4, 1, 3, 0, 2, 4, 1, 1, 4, 0, 3, 0, 0, 3, 4, 1, 4, 0, 4, 4, 0, 3, 4, 0, 1, 1, 4, 1, 1, 1, 1, 1, 3, 0, 4, 3, 1, 2, 1, 1, 1, 2, 2, 1, 4, 3, 2, 1, 1, 4, 2, 0, 1, 4, 2, 2, 1, 1, 1, 2, 1, 0, 4, 4, 2, 4, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 3, 1, 3, 0, 3, 2, 4, 3, 2, 3, 1, 1, 0, 0, 4, 3, 2, 1, 0, 2, 1, 1, 1, 3, 0, 0, 1, 1, 4, 3, 0, 2, 1, 4, 3, 3, 2, 0, 3, 3, 2, 0, 4, 2, 3, 1, 1, 3, 2, 2, 1, 2, 3, 3, 4, 3, 3, 4, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 4, 4, 3, 0, 4, 3, 2, 3, 2, 0, 3, 4, 2, 4, 3, 0, 1, 1, 2, 4, 3, 4, 0, 3, 3, 2, 0, 2, 2, 0, 4, 4, 4, 2, 4, 4, 2] pubkeycol1379 = [3, 3, 1, 0, 0, 4, 3, 4, 3, 1, 1, 3, 0, 3, 0, 1, 3, 4, 4, 3, 4, 0, 1, 0, 3, 1, 1, 2, 4, 4, 1, 1, 0, 2, 4, 4, 3, 0, 4, 0, 1, 1, 1, 4, 1, 0, 3, 0, 0, 1, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 3, 2, 2, 1, 1, 0, 1, 4, 2, 1, 1, 3, 3, 4, 2, 4, 4, 3, 2, 3, 4, 1, 4, 2, 4, 2, 1, 2, 4, 2, 3, 2, 1, 2, 2, 3, 1, 0, 4, 4, 2, 0, 1, 2, 4, 1, 2, 1, 0, 0, 1, 4, 2, 0, 0, 1, 1, 2, 0, 2, 0, 4, 2, 0, 0, 3, 0, 0, 1, 1, 3, 1, 1, 4, 1, 2, 3, 4, 0, 1, 3, 1, 2, 3, 3, 0, 3, 3, 0, 3, 4, 0, 4, 0, 4, 2, 0, 1, 4, 1, 3, 3, 2, 2, 1, 2, 4, 3, 0, 1, 2, 0, 0, 1, 3, 1, 2, 0, 4, 0, 0, 1, 0, 2, 2, 1, 2, 3, 3, 0, 1, 2, 1, 4, 4, 2, 4, 2, 2, 4, 1, 4, 0, 3, 3, 2, 4, 0, 3, 0, 4, 1, 4, 2, 2, 4, 1, 0, 4, 0, 1, 4, 4, 1, 1, 2, 0, 1, 2, 4, 2, 0, 0, 3, 1, 2, 0, 0, 4, 0, 3, 3, 4, 2, 4, 3, 0, 4, 2, 1, 1, 3, 3, 3, 3, 3, 0, 0, 2, 0, 4, 1, 3, 1, 0, 4, 2, 1, 2, 4, 2, 1, 3, 4, 1, 0, 0, 4, 3, 2, 0, 2, 0, 3, 0, 1, 4, 2, 3, 1, 1, 4, 4, 1, 4, 3, 2, 3, 4, 4, 4, 1, 3, 4, 2, 0, 4, 2, 2, 2, 0, 1, 4, 1, 1, 3, 4, 2, 2, 0, 4, 4, 0, 2, 2, 4, 2, 4, 3, 3, 0, 3, 2, 1, 4, 0, 2, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 1, 0, 4, 4, 1, 2, 3, 0, 0, 2, 1, 3, 1, 1, 2, 0, 0, 2, 1, 0, 3, 4, 4, 3, 3, 3, 4, 0, 4, 4, 2, 2, 2, 4, 3, 1, 4, 0, 0, 1, 2, 1, 4, 4, 1, 2, 0, 3, 1, 4, 3, 2, 4, 4, 1, 0, 0, 4, 0, 3, 1, 0, 3, 2, 4, 0, 1, 0, 0, 0, 0, 3, 3, 4, 0, 2, 3, 3, 4, 3, 1, 3, 3, 2, 4, 2, 4, 4, 2, 2, 2, 1, 1, 4, 0, 2, 2, 0, 1, 0, 0, 0, 1, 4, 4, 4, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 2, 3, 2, 0, 2, 1, 0, 0, 4, 2, 3, 2, 2, 2, 1, 4, 3] pubkeycol1380 = [3, 2, 2, 0, 2, 2, 3, 2, 0, 4, 2, 4, 2, 3, 3, 1, 1, 0, 2, 3, 2, 1, 4, 0, 3, 0, 4, 0, 0, 2, 3, 2, 1, 4, 1, 1, 3, 1, 3, 2, 1, 1, 0, 1, 3, 0, 1, 3, 2, 2, 3, 0, 1, 2, 0, 0, 1, 0, 1, 1, 3, 1, 0, 4, 1, 4, 0, 1, 1, 0, 4, 0, 4, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 4, 4, 2, 3, 4, 0, 1, 3, 0, 0, 0, 2, 2, 4, 4, 1, 0, 1, 2, 0, 0, 4, 3, 3, 2, 3, 4, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 4, 3, 4, 0, 1, 3, 2, 2, 2, 2, 2, 3, 4, 3, 1, 4, 2, 1, 0, 3, 3, 1, 0, 3, 4, 0, 4, 1, 3, 3, 4, 4, 0, 1, 3, 2, 3, 3, 0, 3, 0, 3, 1, 3, 0, 3, 3, 3, 3, 1, 2, 3, 4, 2, 2, 1, 4, 2, 2, 1, 4, 1, 3, 2, 2, 4, 0, 4, 3, 0, 0, 0, 4, 4, 2, 0, 4, 4, 0, 0, 1, 3, 3, 4, 1, 2, 1, 1, 0, 2, 0, 4, 2, 3, 1, 4, 2, 1, 0, 4, 2, 2, 1, 4, 4, 4, 1, 0, 3, 1, 1, 2, 4, 1, 0, 0, 3, 4, 4, 4, 2, 1, 1, 0, 0, 3, 4, 4, 3, 4, 3, 1, 4, 1, 2, 3, 0, 2, 0, 4, 1, 2, 3, 2, 3, 1, 1, 3, 0, 0, 1, 0, 2, 1, 1, 3, 4, 4, 1, 0, 1, 4, 2, 2, 0, 2, 3, 1, 2, 0, 2, 0, 0, 4, 4, 3, 3, 1, 2, 4, 3, 0, 3, 1, 1, 2, 3, 0, 1, 2, 3, 2, 2, 1, 3, 2, 1, 1, 2, 4, 3, 0, 2, 3, 2, 2, 0, 1, 2, 4, 4, 2, 2, 0, 1, 0, 4, 2, 2, 0, 0, 1, 2, 2, 2, 4, 3, 3, 3, 4, 2, 0, 2, 1, 3, 0, 3, 2, 4, 3, 3, 4, 3, 0, 2, 1, 3, 2, 2, 2, 2, 3, 2, 0, 0, 4, 4, 1, 4, 3, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 4, 3, 3, 2, 4, 4, 2, 2, 1, 4, 3, 4, 0, 3, 0, 2, 3, 0, 4, 1, 4, 3, 3, 3, 2, 4, 2, 4, 2, 3, 0, 1, 4, 0, 1, 3, 4, 3, 2, 2, 2, 3, 1, 4, 2, 2, 1, 0, 1, 4, 4, 1, 1, 4, 0, 4, 2, 0, 3, 4, 1, 3, 1, 4, 3, 4, 1, 0, 1, 4, 2, 3, 0, 4, 3, 1, 1, 0, 2, 0, 0, 0, 3, 3, 1, 1, 1, 3, 2, 4] pubkeycol1381 = [4, 1, 2, 3, 0, 2, 2, 0, 4, 1, 3, 2, 0, 4, 3, 2, 1, 4, 2, 1, 2, 4, 4, 4, 0, 2, 4, 1, 1, 0, 0, 1, 0, 1, 1, 0, 3, 3, 3, 4, 1, 0, 3, 3, 4, 4, 4, 0, 2, 4, 4, 3, 0, 4, 1, 3, 3, 1, 0, 2, 0, 2, 0, 1, 3, 0, 0, 0, 3, 1, 4, 3, 3, 1, 2, 1, 4, 2, 3, 1, 3, 2, 3, 0, 4, 4, 2, 3, 0, 4, 4, 3, 4, 3, 0, 2, 2, 2, 4, 1, 2, 1, 3, 4, 4, 3, 0, 0, 0, 4, 4, 1, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 3, 4, 1, 3, 2, 1, 4, 3, 1, 1, 1, 4, 2, 1, 2, 2, 4, 1, 0, 1, 4, 3, 4, 1, 0, 0, 2, 0, 0, 4, 1, 3, 3, 2, 4, 2, 0, 4, 4, 3, 3, 3, 4, 3, 3, 2, 1, 1, 2, 0, 3, 2, 1, 3, 1, 4, 2, 2, 1, 3, 3, 3, 4, 0, 3, 0, 2, 3, 4, 3, 0, 3, 1, 1, 3, 3, 2, 4, 0, 4, 1, 0, 3, 0, 3, 2, 4, 2, 1, 4, 1, 1, 4, 2, 3, 4, 4, 2, 2, 0, 0, 1, 0, 4, 3, 1, 1, 2, 1, 1, 0, 0, 4, 4, 1, 0, 2, 1, 3, 4, 4, 4, 3, 2, 3, 1, 1, 0, 4, 1, 3, 4, 2, 1, 0, 1, 4, 3, 4, 3, 0, 1, 0, 4, 3, 3, 0, 2, 3, 2, 0, 2, 0, 3, 4, 4, 3, 1, 3, 2, 2, 2, 2, 3, 1, 4, 4, 2, 0, 4, 1, 3, 0, 1, 4, 2, 4, 3, 0, 4, 4, 2, 3, 4, 0, 2, 4, 0, 3, 1, 1, 4, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 4, 3, 4, 1, 2, 0, 3, 3, 1, 2, 3, 3, 1, 0, 2, 0, 3, 4, 1, 1, 0, 1, 4, 0, 1, 4, 1, 1, 2, 2, 4, 0, 2, 0, 3, 1, 3, 0, 3, 2, 0, 4, 1, 0, 3, 3, 0, 4, 0, 2, 2, 1, 4, 0, 2, 4, 3, 2, 0, 2, 0, 0, 3, 1, 4, 1, 1, 2, 4, 3, 4, 4, 3, 0, 3, 3, 2, 0, 0, 3, 0, 2, 2, 0, 3, 4, 0, 4, 0, 4, 3, 1, 3, 2, 2, 2, 1, 2, 4, 2, 4, 1, 4, 2, 0, 2, 0, 2, 2, 2, 4, 2, 2, 1, 1, 1, 0, 3, 3, 4, 4, 3, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 3, 3, 3, 2, 4, 2, 4, 2, 4, 3, 4, 2, 1, 4, 3, 2, 4, 1, 3, 0, 3, 0] pubkeycol1382 = [0, 2, 3, 0, 2, 1, 3, 4, 2, 4, 4, 4, 3, 4, 4, 2, 3, 4, 1, 0, 3, 2, 1, 1, 2, 1, 4, 1, 2, 4, 0, 0, 4, 3, 4, 3, 4, 3, 0, 0, 0, 4, 4, 2, 4, 0, 4, 2, 4, 2, 2, 0, 2, 1, 4, 1, 1, 4, 2, 0, 3, 1, 2, 4, 4, 1, 3, 4, 4, 3, 0, 2, 1, 2, 2, 4, 2, 1, 4, 0, 0, 2, 1, 3, 0, 2, 2, 1, 3, 2, 1, 2, 4, 1, 4, 0, 2, 3, 2, 0, 3, 3, 1, 0, 3, 3, 1, 1, 4, 3, 2, 0, 0, 0, 4, 2, 4, 1, 0, 1, 0, 4, 4, 2, 4, 0, 0, 1, 4, 0, 3, 1, 3, 3, 0, 1, 1, 3, 4, 2, 4, 4, 0, 1, 3, 2, 3, 0, 4, 0, 0, 3, 3, 0, 1, 0, 3, 1, 0, 4, 3, 0, 3, 0, 4, 0, 4, 1, 4, 0, 4, 3, 2, 3, 3, 1, 4, 2, 2, 2, 3, 3, 1, 0, 2, 0, 3, 2, 2, 4, 2, 0, 4, 2, 3, 1, 4, 0, 3, 2, 0, 3, 0, 1, 0, 3, 3, 1, 1, 4, 3, 1, 2, 1, 0, 4, 2, 1, 3, 0, 1, 4, 4, 2, 3, 3, 2, 2, 4, 3, 0, 4, 3, 0, 1, 4, 0, 4, 0, 4, 4, 0, 4, 2, 0, 3, 3, 1, 4, 2, 3, 4, 3, 4, 2, 2, 1, 4, 4, 3, 0, 4, 0, 4, 3, 0, 2, 1, 0, 1, 0, 2, 0, 3, 3, 1, 0, 4, 0, 0, 3, 1, 0, 0, 1, 1, 2, 2, 0, 4, 0, 1, 2, 3, 3, 4, 0, 0, 0, 0, 4, 2, 2, 0, 3, 4, 1, 4, 1, 2, 0, 0, 0, 2, 2, 3, 3, 4, 0, 3, 4, 2, 3, 3, 3, 3, 4, 0, 0, 4, 4, 1, 4, 2, 4, 3, 2, 4, 4, 0, 1, 0, 4, 0, 3, 0, 3, 0, 4, 3, 4, 1, 3, 4, 1, 4, 1, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 4, 0, 1, 2, 0, 0, 0, 4, 4, 4, 0, 1, 0, 0, 1, 4, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 4, 3, 3, 0, 3, 2, 4, 4, 0, 4, 3, 2, 1, 4, 3, 3, 4, 4, 0, 2, 1, 3, 3, 2, 0, 2, 3, 2, 0, 4, 0, 3, 3, 3, 4, 1, 4, 4, 0, 2, 3, 2, 0, 0, 4, 2, 3, 4, 1, 4, 1, 1, 2, 2, 3, 1, 4, 0, 3, 1, 3, 2, 4, 3, 4, 2, 0, 0, 1, 4, 0, 4, 2, 3, 1, 1, 1, 3, 0, 0, 3, 3, 4, 4, 3, 3] pubkeycol1383 = [2, 0, 1, 1, 2, 2, 3, 1, 4, 0, 4, 2, 4, 1, 0, 0, 3, 2, 2, 2, 0, 3, 3, 3, 1, 1, 4, 4, 0, 3, 4, 0, 0, 4, 2, 2, 4, 0, 3, 0, 2, 0, 2, 0, 4, 0, 2, 0, 2, 3, 0, 3, 1, 0, 3, 2, 0, 0, 0, 1, 2, 1, 3, 0, 2, 4, 2, 1, 3, 0, 0, 4, 0, 3, 4, 2, 1, 4, 0, 2, 4, 1, 0, 0, 2, 1, 1, 3, 2, 2, 3, 0, 1, 3, 0, 4, 0, 2, 3, 1, 4, 2, 2, 0, 1, 1, 2, 2, 4, 3, 0, 0, 2, 1, 2, 4, 4, 1, 2, 3, 0, 0, 1, 4, 1, 4, 2, 4, 1, 1, 0, 2, 4, 2, 1, 2, 0, 0, 4, 4, 4, 2, 2, 1, 4, 1, 4, 0, 0, 3, 4, 0, 1, 2, 4, 0, 0, 3, 2, 1, 1, 2, 3, 3, 1, 2, 4, 1, 1, 4, 2, 1, 3, 0, 2, 4, 0, 4, 4, 3, 4, 4, 2, 0, 0, 1, 2, 0, 3, 3, 3, 0, 2, 1, 4, 1, 0, 2, 0, 4, 0, 3, 2, 1, 1, 4, 1, 3, 4, 2, 3, 3, 3, 1, 4, 1, 0, 3, 2, 2, 4, 1, 2, 4, 2, 2, 4, 4, 1, 0, 3, 1, 4, 4, 4, 1, 3, 1, 0, 3, 4, 3, 1, 3, 3, 0, 1, 4, 1, 0, 4, 3, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 3, 2, 1, 1, 3, 4, 4, 2, 3, 4, 2, 3, 2, 3, 0, 0, 4, 2, 3, 0, 3, 3, 1, 3, 3, 2, 2, 0, 3, 3, 0, 1, 3, 1, 2, 1, 4, 4, 2, 3, 1, 3, 3, 4, 2, 4, 3, 3, 3, 3, 2, 0, 2, 3, 4, 0, 1, 1, 3, 3, 4, 3, 3, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 4, 1, 0, 4, 1, 3, 1, 0, 4, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 1, 2, 4, 2, 4, 4, 4, 2, 3, 3, 1, 0, 0, 3, 2, 1, 4, 2, 4, 1, 0, 4, 2, 3, 0, 4, 0, 0, 4, 4, 4, 1, 0, 4, 2, 1, 2, 0, 2, 2, 2, 3, 4, 4, 0, 4, 0, 3, 2, 1, 0, 1, 3, 4, 1, 0, 0, 3, 2, 4, 1, 2, 2, 0, 4, 4, 4, 0, 4, 0, 4, 1, 4, 2, 3, 3, 1, 0, 4, 0, 4, 0, 0, 4, 0, 2, 2, 3, 0, 2, 4, 0, 4, 2, 1, 1, 1, 3, 0, 1, 3, 1, 3, 4, 2, 3, 1, 0, 3, 3, 1, 3, 2, 2, 3, 1, 1] pubkeycol1384 = [4, 2, 4, 0, 0, 4, 4, 1, 3, 0, 1, 1, 4, 2, 3, 3, 0, 2, 2, 3, 0, 3, 3, 0, 4, 0, 3, 3, 2, 2, 4, 1, 1, 4, 3, 2, 3, 3, 2, 2, 4, 0, 3, 3, 2, 2, 3, 1, 2, 3, 4, 0, 2, 3, 2, 2, 0, 0, 4, 4, 1, 2, 1, 3, 0, 4, 3, 0, 4, 2, 0, 3, 3, 4, 0, 4, 0, 2, 2, 4, 1, 3, 2, 2, 0, 4, 4, 0, 3, 3, 3, 0, 2, 4, 4, 2, 2, 2, 0, 1, 3, 3, 4, 3, 0, 4, 4, 2, 0, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 2, 1, 2, 2, 4, 3, 4, 4, 0, 1, 2, 4, 4, 2, 1, 1, 2, 4, 2, 2, 1, 4, 0, 4, 4, 0, 3, 1, 2, 3, 2, 4, 0, 2, 3, 1, 3, 4, 4, 4, 4, 2, 4, 0, 4, 4, 1, 3, 0, 1, 2, 3, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 3, 2, 2, 1, 1, 0, 0, 2, 4, 2, 3, 1, 0, 1, 4, 0, 2, 1, 2, 0, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 4, 2, 4, 3, 4, 0, 1, 1, 3, 3, 3, 1, 3, 3, 0, 1, 3, 2, 0, 3, 3, 2, 0, 1, 0, 1, 4, 1, 2, 4, 3, 2, 2, 2, 4, 3, 3, 4, 4, 0, 2, 0, 0, 1, 0, 0, 3, 3, 1, 3, 0, 0, 1, 1, 2, 3, 0, 0, 1, 0, 3, 4, 4, 1, 0, 2, 4, 3, 1, 0, 2, 2, 3, 2, 3, 0, 1, 4, 0, 0, 0, 1, 3, 2, 1, 4, 3, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 4, 3, 3, 2, 2, 2, 3, 2, 3, 0, 0, 4, 2, 4, 4, 4, 3, 4, 4, 3, 3, 2, 4, 4, 2, 2, 0, 2, 3, 2, 2, 3, 2, 4, 0, 2, 3, 3, 3, 2, 0, 1, 1, 2, 4, 1, 4, 4, 2, 0, 2, 2, 4, 1, 2, 3, 1, 2, 3, 0, 2, 1, 0, 0, 4, 2, 2, 2, 3, 3, 4, 1, 1, 2, 4, 0, 3, 1, 2, 3, 1, 4, 1, 1, 3, 1, 2, 0, 0, 1, 4, 4, 4, 3, 2, 3, 1, 1, 3, 3, 0, 0, 2, 4, 1, 0, 4, 4, 0, 2, 0, 3, 4, 0, 1, 4, 0, 1, 3, 3, 0, 4, 1, 3, 2, 2, 3, 3, 0, 1, 3, 1, 1, 0, 0, 0, 2, 2, 3, 2, 3, 2, 4, 3, 3, 4, 4, 3, 3, 2, 2, 2, 1, 0, 4, 4, 3, 0, 0, 1, 3, 1, 0, 1, 0, 0, 2, 2, 0] pubkeycol1385 = [4, 3, 3, 0, 0, 3, 0, 3, 1, 2, 1, 2, 2, 1, 4, 3, 2, 0, 1, 3, 1, 1, 3, 2, 2, 4, 3, 2, 2, 3, 4, 2, 2, 1, 3, 2, 0, 1, 0, 2, 3, 1, 4, 0, 2, 3, 3, 2, 4, 4, 0, 3, 0, 3, 4, 2, 2, 4, 0, 1, 4, 1, 1, 3, 0, 3, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 4, 2, 0, 0, 2, 4, 4, 3, 1, 1, 1, 4, 1, 0, 4, 4, 2, 2, 3, 0, 1, 4, 4, 4, 1, 3, 3, 2, 2, 4, 3, 0, 0, 2, 3, 4, 4, 1, 3, 4, 1, 1, 2, 0, 0, 0, 3, 0, 4, 1, 4, 3, 2, 1, 4, 4, 2, 4, 3, 2, 3, 4, 0, 2, 4, 1, 2, 2, 4, 3, 4, 3, 2, 4, 1, 0, 3, 0, 3, 3, 1, 3, 2, 3, 3, 3, 3, 4, 3, 1, 3, 2, 0, 0, 0, 3, 0, 3, 0, 1, 1, 4, 2, 0, 3, 2, 2, 1, 2, 2, 2, 2, 1, 4, 2, 0, 2, 2, 1, 4, 1, 0, 3, 2, 2, 1, 2, 0, 4, 3, 1, 1, 3, 1, 0, 4, 3, 0, 2, 0, 4, 3, 4, 1, 0, 3, 0, 1, 1, 2, 0, 0, 4, 1, 3, 4, 2, 4, 3, 3, 2, 1, 0, 3, 1, 0, 0, 2, 0, 3, 3, 4, 4, 0, 0, 4, 3, 3, 0, 3, 4, 3, 3, 3, 3, 1, 1, 2, 2, 3, 1, 0, 3, 4, 0, 1, 0, 3, 1, 4, 0, 0, 0, 3, 4, 3, 4, 2, 3, 2, 1, 1, 2, 4, 3, 2, 2, 4, 0, 3, 4, 0, 3, 3, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 3, 3, 0, 0, 3, 0, 0, 0, 1, 4, 2, 2, 0, 1, 0, 4, 3, 0, 1, 2, 1, 0, 4, 3, 2, 4, 4, 2, 2, 0, 3, 0, 0, 1, 2, 4, 4, 4, 1, 4, 2, 3, 2, 3, 0, 2, 3, 0, 0, 2, 4, 0, 0, 2, 4, 2, 1, 0, 0, 1, 0, 2, 2, 4, 3, 3, 3, 2, 0, 1, 2, 2, 3, 0, 2, 2, 2, 3, 3, 2, 3, 1, 2, 1, 1, 0, 2, 2, 2, 2, 3, 3, 1, 1, 3, 2, 1, 4, 3, 0, 1, 2, 0, 2, 1, 3, 1, 4, 1, 4, 1, 3, 0, 0, 0, 0, 4, 1, 3, 3, 3, 3, 1, 1, 1, 4, 3, 4, 1, 0, 1, 1, 3, 2, 3, 4, 0, 1, 4, 4, 1, 2, 2, 2, 3, 2, 4, 3, 0, 1, 0, 0, 1, 2, 2, 0, 3, 2, 1, 1, 2, 1, 3, 1, 4, 2, 2, 1] pubkeycol1386 = [4, 4, 0, 0, 0, 3, 1, 3, 1, 1, 3, 2, 3, 3, 3, 4, 4, 4, 0, 0, 4, 0, 2, 3, 2, 0, 4, 1, 0, 4, 2, 1, 4, 1, 4, 3, 0, 0, 3, 0, 2, 1, 1, 0, 4, 3, 4, 3, 2, 4, 4, 1, 4, 1, 1, 4, 3, 1, 1, 1, 1, 2, 1, 2, 0, 4, 4, 1, 4, 0, 4, 2, 0, 3, 4, 0, 2, 0, 1, 1, 2, 0, 4, 0, 3, 4, 0, 1, 3, 1, 3, 4, 1, 4, 0, 1, 4, 4, 2, 0, 0, 4, 1, 0, 2, 2, 2, 3, 0, 3, 1, 4, 3, 2, 2, 3, 4, 0, 4, 1, 1, 3, 1, 2, 0, 3, 4, 4, 4, 0, 4, 4, 4, 4, 4, 2, 0, 2, 3, 3, 3, 0, 2, 2, 3, 1, 4, 0, 1, 1, 3, 3, 1, 4, 4, 0, 0, 1, 1, 4, 2, 3, 4, 0, 0, 2, 4, 0, 4, 3, 4, 1, 1, 0, 1, 2, 0, 4, 0, 0, 3, 2, 1, 2, 0, 3, 4, 4, 0, 4, 4, 3, 0, 4, 3, 2, 0, 2, 2, 1, 3, 3, 2, 4, 3, 3, 2, 1, 1, 4, 2, 2, 1, 1, 4, 1, 3, 1, 2, 1, 1, 4, 2, 2, 3, 3, 1, 4, 4, 4, 2, 0, 4, 2, 0, 3, 2, 1, 1, 3, 2, 1, 0, 4, 2, 3, 2, 1, 2, 3, 1, 1, 3, 3, 3, 3, 2, 1, 2, 0, 1, 3, 4, 2, 0, 0, 2, 4, 3, 1, 0, 3, 4, 2, 3, 4, 1, 3, 2, 4, 2, 3, 2, 0, 1, 0, 1, 0, 4, 3, 1, 2, 4, 3, 4, 2, 2, 0, 1, 4, 0, 0, 2, 0, 4, 0, 4, 4, 2, 3, 1, 1, 0, 3, 0, 3, 4, 1, 2, 0, 3, 2, 2, 2, 4, 3, 0, 4, 0, 4, 1, 0, 1, 2, 4, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 3, 0, 1, 3, 4, 4, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 4, 2, 3, 4, 1, 2, 0, 3, 1, 4, 1, 0, 1, 3, 3, 2, 2, 1, 1, 2, 3, 0, 2, 2, 4, 2, 3, 0, 2, 3, 2, 0, 2, 2, 2, 3, 3, 0, 3, 3, 4, 0, 4, 2, 1, 1, 0, 4, 1, 4, 3, 2, 2, 2, 2, 4, 2, 1, 1, 1, 4, 3, 2, 0, 1, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 1, 4, 4, 2, 4, 0, 3, 0, 4, 3, 2, 4, 3, 4, 2, 4, 4, 1, 1, 3, 4, 3, 3, 3, 1, 2, 0, 0, 4, 1, 4, 3, 2, 2, 4, 3, 1, 4, 2] pubkeycol1387 = [4, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 4, 1, 1, 3, 3, 1, 3, 4, 2, 2, 3, 4, 3, 3, 3, 2, 3, 0, 0, 3, 4, 4, 0, 3, 3, 3, 2, 3, 2, 3, 2, 0, 4, 3, 1, 2, 1, 2, 4, 1, 4, 4, 3, 1, 0, 3, 1, 2, 2, 1, 1, 0, 0, 2, 2, 3, 3, 4, 4, 4, 2, 1, 4, 2, 3, 4, 2, 0, 0, 0, 0, 3, 2, 3, 2, 4, 2, 4, 2, 1, 4, 3, 0, 2, 4, 1, 2, 0, 1, 1, 0, 3, 0, 0, 2, 2, 4, 2, 0, 1, 4, 0, 1, 1, 0, 3, 2, 1, 4, 4, 4, 1, 0, 2, 4, 3, 4, 0, 3, 1, 2, 4, 1, 0, 3, 0, 1, 4, 3, 2, 3, 1, 1, 4, 2, 1, 2, 0, 3, 2, 0, 4, 3, 0, 0, 1, 3, 3, 4, 2, 3, 1, 3, 2, 1, 2, 4, 1, 3, 3, 3, 1, 1, 4, 0, 3, 1, 0, 0, 4, 3, 0, 3, 1, 0, 0, 3, 2, 4, 1, 4, 3, 0, 0, 3, 1, 3, 1, 3, 1, 2, 2, 1, 4, 1, 4, 4, 0, 1, 3, 0, 4, 1, 4, 4, 0, 4, 3, 1, 3, 0, 4, 0, 2, 2, 4, 1, 0, 3, 3, 1, 1, 1, 1, 4, 1, 1, 3, 3, 0, 1, 0, 4, 3, 4, 1, 0, 2, 1, 0, 4, 3, 1, 3, 2, 2, 1, 2, 0, 4, 2, 0, 3, 2, 1, 1, 2, 4, 3, 0, 2, 3, 0, 0, 2, 0, 1, 3, 4, 1, 2, 1, 3, 1, 2, 3, 4, 1, 2, 4, 1, 0, 3, 0, 1, 3, 4, 4, 1, 1, 3, 3, 2, 2, 1, 3, 2, 3, 4, 2, 2, 3, 2, 1, 0, 0, 1, 4, 0, 0, 0, 3, 3, 2, 2, 2, 2, 0, 3, 2, 0, 4, 3, 2, 3, 4, 3, 4, 0, 2, 4, 3, 3, 0, 0, 1, 3, 0, 1, 1, 0, 1, 4, 3, 0, 1, 0, 4, 2, 4, 4, 3, 1, 4, 0, 1, 2, 3, 3, 1, 4, 2, 3, 1, 2, 4, 1, 2, 4, 4, 2, 0, 4, 0, 2, 2, 4, 3, 1, 3, 0, 4, 2, 2, 0, 4, 1, 4, 1, 4, 1, 2, 4, 3, 3, 1, 3, 3, 4, 3, 2, 2, 2, 3, 4, 4, 2, 3, 2, 4, 0, 2, 2, 2, 4, 0, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 1, 3, 2, 3, 2, 3, 0, 0, 4, 0, 3, 2, 2, 0, 2, 2, 2, 3, 1, 0, 0, 2, 3, 3, 1, 0, 0, 3, 4, 0, 0, 3, 4, 3, 0, 0, 3, 1, 0, 1, 3, 4, 1] pubkeycol1388 = [2, 3, 3, 0, 4, 3, 2, 1, 3, 3, 1, 3, 3, 3, 2, 1, 2, 0, 3, 0, 4, 3, 3, 2, 0, 1, 0, 4, 1, 0, 2, 0, 0, 4, 3, 2, 2, 1, 2, 0, 1, 3, 4, 4, 0, 3, 0, 1, 3, 0, 1, 1, 3, 4, 0, 4, 4, 3, 2, 4, 0, 1, 2, 0, 1, 0, 4, 3, 2, 3, 1, 1, 3, 0, 3, 4, 4, 4, 4, 0, 4, 3, 2, 0, 3, 3, 1, 3, 2, 0, 2, 1, 2, 1, 2, 3, 1, 4, 1, 4, 4, 2, 3, 1, 1, 0, 3, 1, 4, 0, 3, 2, 3, 2, 4, 4, 2, 1, 0, 2, 2, 3, 0, 3, 4, 0, 0, 0, 4, 3, 3, 1, 0, 0, 3, 2, 2, 2, 4, 0, 0, 3, 2, 2, 3, 4, 0, 3, 4, 3, 1, 0, 1, 2, 1, 3, 4, 3, 4, 2, 0, 2, 2, 4, 4, 2, 0, 0, 2, 3, 0, 4, 4, 2, 4, 0, 1, 0, 2, 1, 4, 1, 0, 1, 0, 2, 0, 0, 2, 1, 3, 0, 1, 1, 4, 2, 4, 4, 3, 4, 3, 3, 1, 0, 4, 1, 0, 1, 3, 2, 1, 0, 3, 4, 0, 4, 2, 2, 0, 1, 4, 2, 3, 3, 1, 2, 4, 0, 1, 1, 2, 3, 0, 4, 0, 4, 3, 0, 4, 1, 2, 2, 4, 0, 3, 0, 0, 3, 2, 3, 3, 1, 4, 1, 0, 1, 1, 1, 2, 4, 2, 3, 4, 0, 3, 0, 2, 1, 4, 0, 4, 2, 3, 0, 1, 1, 4, 2, 0, 2, 4, 4, 3, 2, 1, 0, 3, 0, 1, 0, 1, 1, 4, 2, 2, 4, 1, 0, 2, 4, 2, 3, 2, 1, 2, 1, 0, 0, 0, 4, 0, 4, 3, 0, 0, 1, 3, 1, 3, 4, 1, 3, 1, 4, 4, 0, 2, 1, 3, 2, 1, 3, 2, 4, 1, 3, 0, 3, 1, 0, 3, 3, 3, 2, 2, 1, 0, 0, 3, 2, 4, 4, 1, 3, 3, 3, 1, 2, 1, 2, 0, 1, 4, 2, 0, 2, 3, 3, 2, 2, 0, 2, 3, 0, 3, 0, 3, 0, 2, 3, 3, 3, 2, 2, 1, 3, 4, 1, 4, 2, 1, 4, 2, 0, 0, 1, 4, 4, 0, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 0, 4, 2, 0, 1, 0, 3, 1, 2, 1, 2, 4, 3, 0, 2, 3, 3, 1, 3, 3, 1, 2, 1, 2, 2, 4, 3, 3, 4, 0, 0, 4, 1, 3, 3, 3, 1, 0, 2, 0, 3, 0, 3, 4, 0, 4, 3, 3, 2, 2, 3, 4, 3, 3, 1, 0, 1, 1, 2, 1, 0, 4, 4, 3, 3, 0, 4, 1, 2, 2, 4] pubkeycol1389 = [1, 0, 0, 3, 2, 3, 1, 1, 2, 2, 1, 1, 3, 4, 3, 3, 2, 1, 4, 1, 1, 1, 4, 0, 1, 2, 3, 2, 3, 3, 1, 3, 3, 2, 4, 3, 2, 1, 4, 1, 3, 0, 0, 4, 1, 2, 3, 1, 4, 0, 2, 3, 1, 1, 2, 0, 0, 1, 1, 3, 0, 1, 4, 1, 4, 3, 1, 1, 3, 3, 4, 4, 3, 0, 1, 1, 3, 1, 0, 2, 4, 2, 0, 0, 4, 4, 2, 2, 0, 2, 4, 4, 4, 3, 0, 2, 0, 4, 1, 2, 1, 3, 2, 1, 2, 0, 0, 1, 0, 3, 1, 0, 4, 1, 2, 2, 0, 0, 3, 2, 0, 2, 0, 3, 0, 4, 1, 2, 1, 4, 4, 3, 2, 3, 3, 1, 4, 3, 2, 3, 3, 2, 1, 3, 3, 3, 4, 2, 4, 2, 0, 1, 4, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 4, 4, 1, 1, 3, 0, 0, 1, 2, 4, 1, 3, 1, 2, 0, 1, 1, 0, 2, 3, 1, 2, 1, 3, 2, 1, 4, 2, 2, 0, 0, 0, 3, 4, 1, 1, 4, 4, 3, 2, 0, 0, 3, 0, 0, 3, 2, 2, 3, 4, 4, 2, 1, 3, 4, 4, 3, 4, 0, 3, 0, 0, 2, 4, 0, 4, 4, 3, 2, 2, 0, 0, 3, 3, 1, 2, 1, 1, 1, 3, 1, 1, 4, 2, 2, 3, 4, 2, 2, 4, 4, 0, 0, 2, 4, 2, 2, 4, 3, 1, 0, 4, 1, 3, 3, 4, 2, 3, 3, 1, 0, 4, 1, 1, 1, 0, 3, 3, 0, 1, 1, 4, 1, 4, 3, 3, 1, 2, 3, 1, 4, 4, 0, 0, 1, 0, 0, 1, 4, 2, 4, 2, 4, 1, 3, 1, 0, 3, 1, 1, 2, 2, 2, 1, 0, 1, 2, 3, 4, 0, 4, 1, 4, 4, 1, 4, 0, 3, 0, 1, 0, 4, 0, 3, 4, 4, 2, 4, 1, 1, 3, 3, 0, 3, 4, 2, 0, 2, 4, 2, 4, 0, 3, 3, 4, 0, 1, 4, 3, 1, 3, 4, 1, 2, 1, 1, 3, 2, 4, 0, 3, 0, 2, 1, 1, 1, 4, 4, 1, 3, 0, 2, 2, 1, 3, 0, 2, 1, 0, 2, 2, 3, 1, 0, 1, 2, 2, 2, 2, 4, 1, 3, 0, 3, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 3, 0, 1, 3, 1, 1, 0, 1, 4, 1, 3, 0, 4, 3, 4, 1, 4, 2, 4, 1, 1, 1, 0, 4, 0, 1, 1, 4, 0, 0, 4, 3, 3, 3, 0, 1, 1, 2, 4, 3, 1, 0, 4, 4, 1, 0, 4, 1, 1, 3, 2, 1, 0, 2, 4, 1] pubkeycol1390 = [1, 3, 3, 4, 0, 0, 0, 4, 2, 1, 1, 3, 0, 4, 4, 1, 1, 3, 2, 4, 4, 0, 0, 0, 2, 0, 1, 1, 4, 1, 0, 4, 4, 1, 1, 3, 3, 0, 0, 3, 2, 4, 2, 1, 4, 0, 2, 4, 0, 1, 0, 4, 2, 3, 0, 0, 4, 4, 3, 3, 2, 2, 0, 4, 4, 4, 3, 1, 2, 2, 1, 0, 3, 3, 3, 4, 0, 3, 4, 0, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 1, 1, 4, 0, 4, 1, 2, 2, 3, 1, 3, 2, 3, 0, 0, 2, 1, 0, 0, 1, 2, 2, 4, 2, 4, 1, 2, 4, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 4, 3, 4, 0, 1, 1, 2, 2, 0, 4, 3, 3, 2, 0, 1, 3, 1, 4, 4, 2, 2, 2, 4, 3, 2, 0, 0, 2, 3, 0, 1, 4, 2, 4, 2, 2, 1, 2, 0, 0, 2, 2, 0, 3, 3, 3, 3, 2, 1, 4, 4, 3, 2, 3, 1, 0, 4, 0, 2, 3, 4, 3, 1, 4, 2, 1, 3, 4, 3, 2, 1, 1, 0, 4, 0, 4, 0, 3, 2, 2, 0, 4, 0, 4, 4, 3, 3, 0, 2, 4, 0, 3, 4, 0, 1, 2, 2, 3, 3, 3, 1, 1, 1, 2, 2, 2, 1, 4, 3, 1, 1, 4, 3, 1, 0, 0, 1, 3, 2, 4, 1, 1, 1, 2, 4, 1, 1, 0, 0, 4, 1, 1, 3, 4, 3, 3, 2, 2, 2, 0, 1, 3, 0, 2, 4, 1, 1, 4, 0, 4, 2, 2, 0, 1, 0, 0, 1, 2, 4, 0, 1, 1, 1, 4, 3, 0, 3, 2, 4, 4, 3, 1, 4, 4, 3, 3, 2, 1, 4, 4, 0, 4, 4, 3, 2, 2, 2, 1, 0, 3, 1, 3, 1, 4, 0, 4, 0, 0, 2, 4, 4, 3, 0, 4, 2, 4, 1, 0, 1, 0, 0, 2, 4, 1, 4, 3, 4, 2, 2, 4, 4, 1, 0, 2, 0, 4, 1, 2, 3, 4, 0, 1, 0, 0, 3, 1, 0, 0, 1, 1, 3, 2, 2, 4, 0, 1, 0, 4, 0, 3, 3, 2, 2, 1, 4, 2, 0, 0, 0, 1, 0, 3, 1, 2, 3, 4, 3, 4, 0, 4, 3, 3, 3, 2, 3, 4, 4, 2, 3, 2, 3, 4, 0, 3, 2, 2, 3, 0, 2, 4, 1, 4, 3, 0, 1, 0, 2, 0, 2, 3, 4, 4, 4, 4, 2, 4, 4, 4, 0, 3, 0, 1, 2, 0, 2, 2, 0, 4, 0, 4, 1, 1, 3, 3, 2, 2, 3, 3, 2, 0, 1, 4, 2, 3, 3, 0, 2, 2, 3, 1, 0, 4, 1, 4, 1, 2, 0, 1, 3] pubkeycol1391 = [0, 2, 4, 0, 0, 0, 4, 0, 0, 2, 1, 4, 1, 1, 2, 3, 2, 1, 4, 4, 3, 4, 4, 1, 1, 4, 2, 0, 2, 0, 0, 0, 0, 3, 3, 0, 0, 3, 1, 0, 1, 0, 0, 4, 3, 2, 0, 0, 3, 1, 0, 4, 1, 4, 3, 4, 1, 0, 4, 3, 2, 2, 1, 0, 1, 1, 3, 2, 3, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 3, 1, 4, 3, 0, 2, 0, 2, 2, 2, 4, 0, 1, 3, 3, 1, 1, 0, 3, 0, 0, 0, 3, 4, 4, 2, 2, 1, 1, 0, 3, 1, 3, 1, 4, 0, 3, 4, 3, 0, 4, 1, 4, 3, 2, 4, 0, 4, 2, 1, 3, 3, 2, 4, 3, 4, 2, 3, 4, 3, 2, 4, 3, 3, 1, 0, 2, 0, 0, 1, 3, 2, 2, 2, 1, 3, 3, 4, 1, 2, 4, 4, 0, 3, 0, 4, 4, 4, 3, 3, 4, 4, 1, 4, 4, 0, 2, 3, 0, 2, 1, 3, 2, 3, 0, 1, 3, 3, 1, 0, 4, 3, 2, 4, 0, 2, 4, 2, 0, 2, 4, 3, 1, 2, 3, 1, 4, 0, 1, 0, 4, 1, 0, 2, 4, 0, 3, 2, 1, 0, 3, 2, 2, 0, 1, 1, 3, 0, 2, 4, 1, 3, 4, 0, 0, 0, 2, 0, 3, 4, 3, 4, 1, 1, 1, 0, 3, 1, 1, 3, 1, 1, 1, 0, 2, 1, 2, 0, 4, 1, 2, 3, 0, 4, 3, 3, 3, 3, 2, 1, 1, 0, 4, 4, 4, 3, 2, 1, 0, 4, 0, 1, 2, 0, 4, 1, 2, 1, 2, 2, 1, 2, 4, 1, 3, 4, 2, 4, 4, 0, 1, 2, 2, 1, 4, 1, 1, 0, 3, 4, 4, 2, 3, 1, 2, 0, 1, 4, 0, 0, 4, 1, 0, 3, 3, 0, 2, 3, 0, 3, 3, 1, 2, 3, 4, 2, 4, 1, 4, 0, 1, 3, 0, 4, 3, 2, 0, 0, 1, 1, 0, 1, 3, 1, 0, 4, 4, 3, 2, 4, 1, 0, 3, 4, 0, 2, 4, 1, 1, 3, 3, 2, 4, 2, 2, 3, 2, 4, 2, 1, 1, 3, 1, 0, 1, 3, 0, 1, 4, 2, 3, 3, 4, 2, 4, 2, 1, 0, 4, 2, 4, 1, 4, 1, 3, 2, 3, 2, 2, 0, 1, 3, 0, 2, 1, 2, 0, 3, 2, 2, 3, 1, 3, 2, 3, 1, 3, 4, 3, 3, 0, 2, 3, 0, 3, 1, 4, 0, 2, 2, 0, 2, 3, 2, 0, 4, 4, 3, 0, 4, 0, 3, 3, 2, 4, 0, 2, 3, 4, 2, 4, 3, 4, 2, 4, 4, 2, 4, 2, 0, 0, 1, 2, 1, 4] pubkeycol1392 = [3, 3, 3, 4, 4, 1, 0, 1, 2, 4, 4, 1, 3, 4, 0, 3, 1, 2, 0, 4, 1, 2, 2, 1, 3, 0, 4, 1, 4, 4, 3, 3, 0, 2, 1, 0, 0, 2, 4, 0, 2, 4, 1, 4, 1, 4, 2, 1, 3, 3, 1, 1, 0, 2, 0, 3, 4, 0, 1, 4, 4, 3, 1, 4, 3, 2, 2, 3, 4, 2, 2, 4, 3, 3, 4, 2, 3, 2, 2, 3, 4, 1, 2, 1, 0, 0, 3, 1, 1, 4, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 3, 0, 4, 4, 3, 2, 0, 1, 2, 1, 0, 1, 2, 2, 4, 2, 4, 4, 2, 3, 2, 4, 0, 1, 2, 3, 0, 4, 1, 0, 3, 1, 0, 4, 2, 3, 1, 0, 4, 1, 1, 2, 2, 1, 3, 1, 4, 0, 2, 0, 1, 3, 3, 3, 0, 1, 2, 3, 2, 1, 4, 3, 3, 3, 0, 0, 0, 0, 1, 4, 0, 1, 4, 0, 3, 4, 2, 2, 2, 3, 4, 2, 3, 4, 1, 4, 0, 1, 2, 3, 4, 2, 2, 1, 2, 2, 4, 1, 0, 3, 1, 0, 4, 3, 2, 1, 0, 4, 3, 3, 3, 1, 1, 2, 4, 0, 3, 4, 0, 3, 4, 1, 1, 3, 0, 2, 2, 1, 1, 4, 2, 1, 0, 4, 2, 2, 4, 0, 2, 3, 3, 1, 1, 3, 3, 4, 4, 1, 2, 0, 0, 0, 3, 2, 0, 4, 2, 2, 1, 3, 3, 4, 1, 0, 0, 0, 3, 3, 3, 4, 0, 4, 3, 0, 0, 0, 1, 2, 1, 0, 3, 1, 1, 3, 1, 2, 3, 2, 4, 1, 1, 2, 3, 1, 4, 1, 1, 4, 3, 1, 2, 0, 0, 2, 0, 0, 4, 2, 0, 2, 4, 4, 2, 2, 3, 4, 1, 0, 2, 0, 2, 0, 3, 4, 0, 0, 1, 4, 1, 3, 4, 3, 1, 2, 3, 4, 2, 3, 0, 3, 2, 1, 1, 0, 2, 2, 1, 2, 4, 1, 1, 3, 3, 3, 4, 1, 1, 0, 4, 3, 1, 2, 3, 2, 1, 3, 0, 4, 4, 4, 0, 1, 0, 0, 4, 4, 0, 2, 3, 1, 0, 4, 4, 3, 4, 3, 2, 0, 1, 4, 3, 2, 3, 4, 2, 4, 4, 2, 1, 3, 2, 2, 3, 0, 2, 4, 0, 1, 4, 2, 2, 0, 4, 0, 4, 4, 1, 1, 3, 2, 2, 4, 3, 0, 0, 4, 2, 3, 4, 0, 1, 4, 3, 2, 0, 4, 3, 2, 1, 4, 2, 2, 0, 4, 3, 4, 2, 4, 1, 2, 1, 1, 1, 4, 0, 0, 4, 3, 0, 3, 0, 2, 2, 2, 3, 1, 2, 1, 1, 2, 3, 2, 1, 2, 0, 1, 3, 0] pubkeycol1393 = [4, 3, 0, 4, 4, 4, 0, 2, 1, 4, 1, 4, 2, 4, 2, 1, 0, 3, 2, 4, 1, 1, 0, 0, 4, 3, 2, 1, 1, 2, 2, 4, 4, 1, 1, 1, 0, 1, 2, 3, 4, 4, 0, 1, 2, 4, 2, 4, 0, 3, 4, 4, 4, 3, 4, 2, 2, 0, 1, 1, 0, 2, 1, 4, 3, 2, 4, 3, 3, 0, 0, 2, 2, 2, 4, 0, 3, 3, 0, 2, 3, 2, 3, 2, 2, 1, 0, 1, 3, 0, 4, 4, 2, 4, 1, 3, 4, 1, 2, 1, 0, 4, 0, 3, 0, 3, 1, 0, 1, 0, 0, 1, 3, 1, 0, 3, 3, 2, 4, 4, 1, 1, 0, 0, 4, 0, 1, 0, 0, 3, 4, 0, 4, 3, 4, 2, 4, 3, 1, 3, 4, 2, 4, 0, 3, 2, 2, 3, 1, 4, 0, 4, 0, 0, 3, 4, 3, 2, 3, 0, 4, 1, 0, 1, 1, 0, 3, 1, 1, 4, 4, 4, 2, 3, 0, 4, 4, 1, 0, 4, 4, 1, 0, 1, 4, 2, 2, 4, 4, 2, 2, 2, 4, 4, 2, 3, 2, 3, 3, 3, 2, 1, 0, 2, 1, 1, 3, 2, 0, 0, 4, 0, 2, 3, 3, 1, 3, 4, 4, 3, 1, 2, 4, 4, 4, 3, 1, 3, 1, 4, 3, 1, 3, 4, 3, 3, 0, 4, 0, 2, 0, 0, 1, 3, 0, 1, 4, 0, 4, 1, 1, 3, 3, 4, 3, 1, 4, 0, 3, 1, 2, 2, 3, 3, 2, 0, 3, 0, 0, 3, 4, 0, 4, 1, 4, 0, 0, 1, 3, 3, 2, 2, 3, 4, 0, 3, 1, 4, 1, 1, 3, 1, 1, 2, 0, 3, 4, 2, 4, 3, 3, 2, 1, 2, 2, 1, 4, 3, 4, 1, 1, 0, 4, 1, 0, 3, 2, 4, 4, 1, 2, 0, 4, 1, 1, 3, 2, 1, 1, 1, 3, 4, 3, 0, 2, 1, 0, 1, 4, 4, 0, 1, 2, 1, 4, 3, 0, 4, 1, 1, 0, 4, 3, 3, 0, 4, 4, 4, 4, 2, 0, 4, 1, 2, 1, 1, 4, 3, 3, 2, 3, 4, 2, 0, 2, 0, 1, 3, 2, 3, 3, 2, 4, 1, 3, 0, 0, 2, 0, 4, 2, 2, 4, 2, 3, 4, 3, 2, 3, 3, 2, 0, 2, 3, 4, 2, 3, 3, 0, 3, 0, 0, 1, 3, 2, 0, 1, 2, 2, 1, 3, 0, 4, 1, 3, 2, 2, 0, 3, 0, 1, 3, 0, 2, 1, 4, 3, 4, 4, 1, 2, 1, 4, 4, 2, 3, 0, 1, 3, 4, 3, 1, 4, 3, 1, 0, 0, 4, 4, 4, 3, 2, 4, 4, 1, 1, 4, 3, 0, 0, 0, 1, 4, 2, 4, 0, 2, 3, 4, 4] pubkeycol1394 = [4, 3, 2, 2, 4, 2, 4, 0, 2, 0, 3, 4, 3, 3, 2, 1, 0, 4, 1, 2, 0, 1, 0, 2, 3, 0, 1, 2, 0, 1, 0, 4, 3, 1, 3, 4, 4, 1, 2, 2, 4, 0, 4, 2, 4, 1, 4, 2, 1, 4, 0, 2, 2, 2, 3, 1, 1, 0, 3, 4, 3, 0, 0, 2, 2, 2, 1, 1, 4, 3, 2, 0, 2, 1, 2, 2, 1, 3, 0, 3, 3, 2, 2, 2, 4, 3, 3, 2, 4, 1, 2, 0, 3, 1, 3, 2, 3, 3, 1, 0, 0, 3, 2, 3, 4, 1, 2, 0, 3, 1, 4, 3, 4, 4, 2, 2, 0, 1, 4, 4, 4, 0, 4, 1, 2, 2, 0, 3, 2, 4, 2, 0, 3, 0, 2, 2, 4, 2, 2, 3, 3, 0, 2, 2, 4, 0, 4, 0, 3, 0, 0, 2, 0, 1, 4, 2, 3, 3, 0, 2, 1, 4, 1, 1, 1, 4, 2, 4, 1, 0, 4, 1, 0, 2, 1, 3, 3, 2, 4, 0, 2, 0, 0, 4, 2, 2, 0, 1, 4, 0, 1, 0, 2, 0, 1, 4, 3, 0, 2, 2, 3, 3, 1, 0, 3, 0, 1, 3, 4, 0, 1, 3, 4, 3, 3, 0, 1, 0, 1, 2, 0, 1, 4, 3, 2, 2, 3, 0, 1, 0, 0, 3, 1, 4, 4, 3, 2, 1, 1, 0, 3, 0, 2, 1, 4, 3, 3, 3, 2, 4, 1, 4, 2, 4, 0, 4, 1, 0, 4, 0, 0, 2, 2, 3, 4, 0, 3, 4, 0, 4, 4, 3, 0, 2, 3, 0, 4, 4, 3, 2, 4, 3, 4, 3, 4, 1, 3, 0, 4, 2, 0, 0, 1, 3, 1, 1, 3, 1, 2, 3, 2, 0, 0, 3, 3, 4, 0, 4, 1, 4, 3, 3, 1, 3, 2, 2, 0, 2, 2, 0, 2, 1, 0, 3, 1, 2, 2, 0, 1, 0, 3, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 4, 0, 0, 1, 2, 1, 0, 1, 0, 2, 3, 2, 3, 2, 3, 4, 3, 3, 1, 2, 1, 1, 4, 2, 2, 1, 4, 4, 1, 4, 4, 3, 4, 0, 4, 3, 3, 0, 2, 3, 4, 0, 2, 3, 4, 0, 0, 4, 3, 4, 4, 3, 1, 0, 3, 0, 2, 1, 4, 3, 2, 4, 2, 0, 2, 2, 1, 1, 3, 1, 2, 3, 3, 0, 0, 2, 4, 3, 1, 4, 3, 2, 2, 2, 0, 1, 2, 4, 2, 4, 3, 3, 2, 4, 1, 3, 2, 2, 3, 1, 0, 4, 4, 0, 3, 1, 0, 2, 2, 4, 4, 0, 3, 2, 2, 3, 1, 3, 2, 3, 1, 3, 1, 4, 1, 1, 3, 4, 1, 3, 3, 3, 4, 3, 2, 0, 2, 3, 4] pubkeycol1395 = [2, 1, 0, 1, 4, 4, 1, 1, 1, 2, 1, 1, 4, 0, 0, 2, 4, 1, 3, 3, 1, 3, 0, 4, 4, 4, 3, 2, 2, 0, 1, 3, 1, 2, 3, 3, 2, 3, 4, 4, 2, 4, 3, 2, 1, 2, 0, 1, 2, 2, 2, 3, 3, 0, 3, 4, 4, 3, 3, 3, 2, 1, 0, 2, 1, 3, 1, 4, 0, 0, 0, 1, 1, 0, 2, 4, 3, 4, 0, 2, 2, 2, 0, 4, 4, 1, 4, 1, 0, 4, 0, 4, 1, 1, 2, 1, 4, 2, 4, 0, 1, 1, 2, 4, 2, 3, 1, 0, 2, 2, 1, 4, 1, 1, 3, 2, 4, 2, 3, 3, 0, 3, 1, 3, 0, 3, 2, 3, 0, 1, 1, 1, 3, 3, 3, 3, 1, 0, 3, 4, 3, 2, 0, 2, 4, 3, 0, 1, 0, 3, 0, 2, 3, 4, 0, 1, 4, 2, 0, 2, 3, 2, 2, 0, 1, 1, 1, 4, 1, 0, 4, 0, 4, 3, 0, 4, 4, 1, 3, 2, 0, 3, 3, 3, 4, 3, 3, 0, 2, 2, 2, 3, 1, 2, 4, 2, 0, 3, 2, 0, 3, 3, 0, 4, 4, 3, 0, 2, 0, 4, 0, 3, 2, 1, 0, 0, 4, 1, 3, 0, 3, 2, 0, 3, 1, 0, 1, 1, 1, 0, 4, 2, 3, 1, 3, 3, 1, 0, 2, 0, 3, 1, 2, 4, 3, 2, 1, 2, 3, 2, 4, 0, 0, 3, 4, 0, 2, 4, 4, 0, 4, 2, 0, 0, 4, 0, 4, 0, 1, 3, 4, 1, 3, 0, 3, 2, 0, 3, 2, 0, 0, 2, 1, 1, 2, 2, 1, 4, 0, 0, 3, 2, 3, 1, 3, 1, 0, 4, 0, 0, 4, 0, 3, 4, 3, 2, 4, 4, 1, 0, 3, 0, 0, 3, 3, 1, 4, 1, 3, 3, 4, 4, 1, 3, 2, 3, 3, 2, 0, 3, 3, 0, 4, 2, 3, 2, 0, 1, 4, 3, 3, 0, 3, 2, 0, 3, 3, 3, 3, 4, 2, 4, 2, 2, 3, 3, 2, 1, 4, 1, 4, 4, 0, 4, 0, 1, 3, 1, 2, 3, 1, 3, 2, 4, 1, 1, 0, 1, 0, 2, 4, 0, 3, 4, 2, 0, 2, 3, 2, 2, 2, 1, 1, 2, 4, 1, 1, 2, 0, 0, 4, 3, 2, 2, 2, 4, 4, 3, 1, 1, 2, 0, 0, 3, 2, 0, 3, 3, 4, 3, 1, 0, 4, 2, 2, 2, 2, 4, 1, 4, 4, 0, 1, 2, 2, 2, 1, 4, 1, 2, 1, 2, 0, 2, 1, 4, 3, 0, 4, 1, 4, 1, 4, 3, 3, 0, 1, 4, 4, 2, 2, 2, 2, 1, 4, 0, 1, 4, 1, 1, 2, 3, 3, 3, 3, 0, 4, 4, 4, 1] pubkeycol1396 = [0, 0, 4, 1, 3, 0, 1, 0, 4, 0, 2, 3, 4, 1, 4, 1, 3, 4, 1, 3, 2, 0, 2, 0, 2, 3, 4, 1, 4, 4, 4, 2, 1, 0, 3, 1, 1, 0, 4, 0, 0, 0, 4, 3, 1, 3, 4, 2, 1, 4, 0, 0, 3, 4, 0, 0, 0, 4, 3, 2, 2, 3, 1, 1, 2, 2, 4, 3, 3, 0, 4, 3, 2, 3, 4, 1, 1, 3, 2, 2, 0, 1, 2, 3, 0, 4, 2, 0, 3, 4, 0, 1, 3, 1, 4, 4, 3, 4, 4, 3, 4, 4, 3, 0, 0, 2, 1, 3, 1, 0, 4, 2, 1, 3, 3, 2, 3, 4, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 3, 3, 1, 0, 3, 1, 2, 2, 4, 0, 1, 1, 2, 0, 0, 0, 1, 0, 4, 3, 0, 0, 1, 2, 4, 2, 2, 1, 1, 3, 3, 2, 3, 2, 1, 4, 0, 0, 4, 0, 0, 2, 4, 1, 3, 4, 1, 1, 0, 3, 2, 3, 1, 2, 2, 4, 0, 3, 0, 1, 2, 4, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 2, 1, 0, 4, 0, 3, 4, 3, 3, 2, 4, 1, 3, 0, 4, 4, 3, 4, 3, 2, 2, 4, 4, 2, 3, 3, 2, 0, 3, 0, 4, 0, 1, 1, 1, 2, 2, 0, 3, 3, 0, 2, 0, 3, 2, 0, 2, 3, 1, 0, 3, 1, 0, 3, 2, 4, 3, 2, 3, 0, 2, 0, 0, 1, 1, 1, 4, 3, 4, 1, 1, 1, 3, 4, 2, 0, 0, 3, 1, 1, 1, 2, 3, 4, 3, 0, 1, 3, 2, 1, 1, 2, 0, 4, 1, 4, 3, 4, 4, 4, 4, 3, 4, 1, 0, 1, 2, 0, 0, 1, 2, 4, 1, 2, 0, 3, 0, 1, 0, 0, 2, 3, 2, 1, 2, 0, 4, 0, 2, 4, 4, 3, 1, 4, 2, 4, 1, 0, 3, 3, 4, 4, 3, 3, 0, 1, 4, 0, 0, 4, 4, 0, 1, 2, 3, 1, 3, 2, 1, 0, 2, 0, 3, 0, 1, 3, 4, 3, 1, 2, 1, 2, 1, 3, 0, 1, 2, 3, 4, 0, 4, 0, 0, 0, 1, 1, 3, 2, 0, 3, 4, 4, 1, 3, 3, 2, 2, 0, 1, 3, 4, 1, 4, 4, 2, 0, 4, 1, 4, 0, 2, 2, 3, 1, 2, 2, 0, 2, 2, 1, 4, 3, 3, 1, 3, 2, 3, 0, 0, 4, 1, 1, 4, 3, 1, 4, 0, 1, 0, 3, 0, 4, 2, 3, 2, 0, 1, 4, 1, 0, 4, 0, 1, 3, 4, 4, 2, 3, 4, 0, 3, 2, 4, 2, 4, 0, 2, 0, 2, 3, 2, 2, 2, 1, 2, 0, 4, 0, 4, 2] pubkeycol1397 = [0, 2, 4, 1, 0, 0, 0, 2, 4, 4, 2, 1, 1, 4, 2, 0, 4, 1, 0, 0, 2, 0, 1, 4, 2, 1, 4, 0, 0, 2, 0, 1, 2, 4, 1, 2, 4, 1, 1, 2, 3, 4, 3, 1, 1, 0, 3, 2, 0, 0, 3, 4, 4, 4, 0, 4, 0, 2, 1, 1, 3, 4, 4, 3, 2, 3, 0, 1, 3, 3, 1, 4, 2, 2, 3, 4, 1, 0, 1, 1, 2, 0, 2, 3, 4, 1, 1, 1, 4, 1, 0, 0, 3, 2, 0, 3, 3, 2, 2, 0, 3, 4, 0, 1, 0, 0, 3, 0, 1, 1, 2, 4, 0, 3, 2, 4, 0, 4, 4, 1, 3, 0, 1, 1, 1, 2, 4, 1, 2, 2, 2, 2, 1, 3, 4, 2, 2, 4, 2, 3, 4, 1, 0, 4, 0, 4, 1, 0, 3, 0, 3, 2, 4, 0, 0, 4, 3, 0, 2, 2, 4, 2, 0, 3, 2, 4, 1, 4, 2, 3, 2, 1, 1, 2, 2, 1, 4, 1, 4, 4, 1, 2, 3, 0, 2, 4, 0, 0, 1, 4, 1, 1, 1, 0, 1, 3, 2, 4, 1, 3, 2, 4, 3, 0, 2, 3, 4, 1, 2, 2, 0, 1, 0, 1, 4, 3, 3, 1, 3, 2, 4, 4, 3, 3, 1, 1, 1, 4, 0, 2, 3, 0, 4, 4, 1, 1, 4, 4, 2, 2, 2, 1, 2, 0, 1, 2, 4, 4, 1, 2, 4, 4, 3, 4, 4, 2, 0, 0, 0, 3, 0, 1, 2, 1, 0, 4, 4, 4, 1, 3, 4, 3, 3, 0, 0, 4, 3, 3, 2, 0, 4, 4, 4, 2, 4, 0, 1, 1, 2, 0, 0, 3, 3, 3, 4, 4, 0, 0, 2, 0, 4, 2, 2, 3, 0, 0, 1, 3, 4, 3, 3, 4, 1, 0, 3, 4, 1, 1, 0, 4, 3, 2, 0, 0, 3, 4, 0, 0, 0, 2, 3, 1, 1, 3, 1, 4, 2, 0, 4, 1, 1, 2, 4, 3, 4, 2, 1, 4, 3, 3, 0, 1, 4, 3, 0, 4, 1, 1, 0, 2, 4, 3, 4, 4, 3, 3, 4, 2, 2, 2, 2, 1, 2, 4, 3, 2, 0, 4, 3, 1, 3, 1, 1, 2, 0, 2, 3, 2, 4, 3, 3, 2, 4, 0, 2, 0, 3, 0, 1, 4, 3, 0, 2, 3, 1, 1, 2, 2, 1, 3, 0, 4, 1, 1, 1, 4, 3, 4, 2, 1, 3, 0, 4, 3, 4, 0, 2, 2, 4, 4, 2, 2, 3, 2, 4, 2, 1, 4, 2, 1, 3, 4, 2, 4, 4, 1, 4, 1, 1, 1, 0, 2, 3, 2, 3, 1, 4, 0, 0, 0, 1, 4, 0, 2, 0, 0, 2, 2, 3, 0, 4, 3, 3, 2, 4, 3, 4, 2, 4, 4] pubkeycol1398 = [0, 0, 3, 3, 2, 4, 2, 2, 3, 4, 3, 0, 1, 2, 2, 2, 3, 1, 3, 4, 3, 0, 2, 3, 3, 2, 2, 0, 3, 2, 2, 3, 0, 1, 1, 3, 2, 1, 2, 1, 1, 0, 0, 2, 3, 4, 3, 4, 3, 1, 3, 2, 1, 2, 4, 0, 3, 0, 2, 0, 0, 1, 1, 4, 2, 0, 0, 4, 0, 4, 4, 2, 2, 3, 0, 2, 2, 2, 3, 4, 1, 3, 2, 3, 0, 1, 4, 0, 2, 3, 4, 2, 0, 4, 3, 0, 1, 2, 1, 1, 3, 4, 1, 3, 1, 1, 2, 1, 4, 0, 3, 3, 2, 0, 2, 3, 3, 1, 0, 2, 4, 3, 0, 3, 2, 4, 4, 1, 1, 0, 3, 0, 2, 2, 4, 0, 2, 4, 0, 0, 2, 1, 1, 3, 1, 3, 4, 2, 1, 2, 3, 2, 1, 4, 1, 2, 3, 3, 1, 0, 4, 2, 1, 0, 4, 2, 2, 1, 1, 3, 3, 2, 4, 0, 4, 1, 0, 2, 4, 0, 2, 1, 3, 3, 0, 2, 1, 4, 3, 3, 1, 3, 0, 0, 1, 2, 3, 4, 1, 1, 2, 2, 3, 0, 4, 1, 2, 1, 3, 1, 3, 1, 4, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 4, 4, 1, 1, 4, 0, 1, 3, 3, 1, 0, 3, 1, 4, 2, 0, 4, 4, 0, 1, 4, 3, 1, 4, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 0, 1, 2, 1, 4, 3, 0, 3, 1, 3, 4, 4, 0, 3, 2, 2, 0, 4, 4, 0, 4, 1, 0, 4, 1, 0, 4, 4, 1, 0, 4, 3, 1, 3, 2, 3, 4, 3, 1, 4, 0, 4, 1, 1, 4, 1, 4, 2, 4, 4, 4, 1, 0, 1, 3, 4, 2, 0, 4, 2, 0, 1, 3, 0, 4, 2, 0, 1, 1, 3, 1, 3, 2, 4, 1, 0, 0, 4, 1, 0, 4, 1, 4, 0, 3, 1, 3, 2, 4, 0, 3, 0, 3, 1, 2, 4, 1, 2, 1, 4, 4, 4, 3, 2, 0, 2, 0, 2, 4, 3, 0, 4, 2, 2, 0, 3, 1, 4, 4, 2, 1, 4, 4, 4, 3, 3, 4, 0, 4, 0, 3, 3, 1, 0, 4, 2, 2, 3, 0, 1, 0, 1, 4, 3, 0, 3, 0, 1, 1, 3, 2, 2, 3, 3, 3, 4, 1, 2, 0, 2, 0, 1, 3, 3, 0, 3, 2, 2, 1, 2, 0, 2, 0, 0, 2, 3, 3, 4, 2, 3, 2, 4, 2, 3, 1, 3, 2, 0, 2, 2, 1, 3, 2, 2, 2, 4, 0, 1, 0, 0, 0, 1, 4, 1, 0, 0, 0, 1, 4, 2, 1, 4, 3, 1, 3, 2, 3, 3, 1, 2, 0, 2, 2] pubkeycol1399 = [2, 0, 1, 4, 3, 0, 2, 3, 4, 1, 0, 4, 3, 2, 0, 4, 1, 4, 4, 0, 2, 2, 4, 2, 2, 0, 0, 2, 1, 3, 1, 2, 0, 2, 3, 0, 0, 1, 0, 4, 0, 4, 2, 0, 1, 4, 1, 1, 2, 1, 1, 1, 0, 3, 2, 0, 2, 3, 3, 0, 1, 0, 2, 1, 4, 3, 3, 3, 3, 4, 4, 3, 3, 0, 3, 3, 3, 3, 4, 3, 2, 3, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 4, 0, 1, 4, 3, 2, 2, 0, 3, 4, 4, 2, 4, 2, 4, 1, 2, 2, 0, 1, 4, 3, 4, 1, 1, 0, 1, 1, 1, 0, 1, 4, 4, 3, 4, 0, 2, 1, 4, 2, 4, 4, 2, 3, 1, 3, 4, 4, 0, 2, 4, 3, 4, 1, 1, 2, 4, 3, 0, 0, 4, 4, 0, 4, 0, 3, 3, 3, 2, 0, 2, 0, 4, 3, 4, 4, 1, 0, 3, 3, 0, 2, 4, 4, 3, 1, 0, 1, 4, 4, 2, 3, 0, 0, 2, 1, 2, 0, 3, 3, 4, 3, 0, 0, 0, 3, 2, 1, 3, 0, 4, 0, 2, 3, 3, 1, 1, 2, 2, 4, 4, 3, 3, 3, 0, 1, 0, 0, 3, 2, 1, 3, 3, 3, 3, 0, 0, 2, 2, 1, 3, 2, 2, 4, 1, 0, 2, 0, 2, 3, 1, 2, 3, 0, 2, 2, 4, 4, 2, 0, 2, 0, 3, 0, 0, 4, 4, 1, 1, 3, 4, 3, 0, 0, 0, 2, 4, 0, 1, 4, 0, 4, 1, 3, 0, 4, 0, 4, 2, 2, 3, 4, 4, 4, 0, 3, 0, 0, 1, 0, 4, 4, 1, 1, 2, 3, 4, 1, 1, 3, 4, 1, 2, 2, 1, 3, 4, 4, 2, 1, 3, 4, 4, 4, 2, 4, 4, 2, 0, 2, 4, 1, 1, 4, 3, 4, 3, 3, 1, 3, 1, 4, 3, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 4, 1, 4, 2, 1, 3, 2, 0, 1, 4, 4, 4, 2, 2, 3, 1, 4, 1, 3, 0, 3, 4, 4, 2, 2, 3, 1, 4, 3, 2, 3, 4, 4, 4, 0, 0, 1, 3, 1, 4, 2, 3, 0, 3, 4, 3, 4, 1, 3, 0, 1, 2, 1, 0, 3, 0, 0, 0, 1, 2, 4, 0, 4, 2, 0, 0, 1, 0, 4, 2, 3, 1, 1, 4, 4, 3, 3, 3, 1, 1, 4, 2, 3, 1, 2, 1, 3, 2, 0, 1, 1, 1, 2, 3, 4, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 4, 3, 1, 0, 3, 4, 4, 1, 0, 0, 2, 2, 1, 3, 1, 2, 4, 1, 4, 3] pubkeycol1400 = [0, 0, 3, 0, 2, 3, 0, 0, 4, 1, 1, 2, 4, 4, 1, 2, 3, 4, 4, 2, 2, 3, 0, 3, 4, 0, 3, 2, 4, 0, 1, 2, 2, 2, 3, 3, 2, 0, 4, 4, 1, 0, 1, 1, 3, 1, 1, 2, 0, 3, 3, 1, 2, 4, 4, 2, 2, 3, 0, 4, 1, 0, 1, 0, 1, 3, 2, 0, 4, 4, 0, 2, 4, 0, 4, 1, 2, 3, 2, 0, 0, 4, 3, 2, 1, 4, 4, 0, 2, 0, 3, 3, 3, 1, 3, 3, 0, 0, 2, 0, 2, 1, 0, 4, 0, 4, 2, 2, 0, 4, 0, 1, 1, 1, 2, 2, 2, 1, 4, 3, 1, 4, 0, 1, 2, 1, 2, 3, 1, 1, 1, 1, 3, 2, 2, 3, 3, 0, 3, 0, 1, 0, 0, 3, 3, 1, 1, 2, 4, 1, 3, 3, 3, 4, 0, 2, 4, 0, 0, 0, 2, 4, 0, 3, 1, 1, 3, 4, 4, 3, 2, 1, 0, 1, 2, 3, 0, 4, 0, 2, 4, 0, 2, 2, 1, 0, 3, 4, 2, 2, 3, 3, 0, 2, 2, 3, 1, 3, 0, 1, 2, 4, 1, 1, 3, 4, 1, 4, 1, 2, 0, 2, 0, 1, 0, 0, 1, 4, 2, 2, 3, 4, 2, 4, 4, 0, 1, 1, 0, 1, 3, 3, 4, 4, 3, 2, 1, 0, 2, 2, 1, 0, 4, 2, 3, 3, 4, 2, 2, 4, 1, 2, 1, 3, 0, 4, 4, 4, 4, 3, 0, 2, 4, 1, 3, 2, 4, 0, 3, 2, 3, 3, 2, 2, 1, 2, 4, 2, 3, 3, 3, 0, 4, 4, 1, 1, 1, 4, 0, 3, 1, 4, 1, 1, 4, 0, 0, 4, 1, 4, 3, 3, 1, 3, 3, 4, 1, 3, 2, 3, 2, 0, 3, 4, 2, 4, 0, 4, 0, 1, 2, 1, 1, 3, 4, 4, 3, 4, 0, 1, 1, 1, 4, 4, 1, 4, 2, 2, 3, 2, 4, 0, 4, 4, 1, 2, 1, 4, 3, 4, 4, 1, 2, 0, 1, 2, 2, 1, 1, 4, 2, 1, 0, 0, 4, 1, 4, 0, 1, 0, 4, 1, 4, 1, 2, 0, 4, 4, 3, 1, 3, 2, 2, 1, 3, 4, 3, 1, 0, 3, 4, 2, 3, 1, 1, 2, 0, 0, 1, 0, 4, 2, 2, 2, 1, 3, 4, 3, 1, 3, 3, 2, 2, 4, 2, 3, 2, 2, 2, 4, 3, 3, 0, 4, 4, 4, 4, 1, 0, 2, 2, 0, 1, 1, 1, 1, 4, 0, 4, 3, 2, 3, 1, 4, 4, 0, 3, 0, 4, 4, 4, 0, 0, 3, 0, 4, 2, 4, 3, 4, 1, 1, 4, 2, 0, 0, 4, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 3, 4] pubkeycol1401 = [4, 2, 1, 4, 3, 1, 4, 4, 2, 0, 3, 0, 0, 4, 3, 2, 4, 4, 2, 4, 4, 4, 4, 2, 2, 0, 3, 0, 4, 3, 1, 1, 4, 4, 3, 3, 1, 2, 4, 1, 1, 3, 3, 2, 0, 2, 2, 3, 2, 1, 4, 4, 4, 0, 4, 3, 1, 0, 4, 3, 4, 1, 4, 3, 0, 1, 2, 0, 1, 1, 4, 3, 2, 2, 2, 2, 1, 1, 4, 1, 3, 1, 2, 3, 4, 3, 3, 2, 1, 4, 3, 4, 0, 4, 1, 3, 1, 3, 1, 0, 1, 3, 2, 1, 1, 3, 2, 0, 2, 4, 1, 2, 4, 1, 1, 0, 0, 0, 4, 0, 1, 0, 3, 4, 4, 0, 4, 4, 2, 2, 4, 4, 0, 0, 0, 1, 0, 3, 4, 2, 4, 0, 4, 4, 2, 3, 0, 4, 3, 2, 0, 0, 2, 2, 1, 3, 3, 4, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 4, 3, 1, 4, 2, 1, 2, 2, 3, 1, 3, 3, 4, 4, 2, 3, 3, 2, 3, 2, 1, 1, 2, 0, 3, 2, 3, 1, 1, 3, 4, 4, 3, 2, 1, 0, 3, 1, 2, 2, 3, 1, 1, 4, 0, 0, 1, 1, 0, 4, 4, 4, 0, 0, 0, 4, 2, 2, 2, 4, 3, 1, 2, 1, 1, 3, 2, 3, 4, 3, 3, 3, 1, 4, 4, 4, 4, 3, 1, 2, 4, 1, 0, 0, 3, 0, 0, 0, 1, 3, 4, 2, 2, 4, 0, 2, 4, 1, 4, 4, 4, 4, 3, 0, 1, 3, 3, 4, 1, 4, 3, 3, 4, 3, 1, 2, 1, 4, 3, 3, 2, 2, 0, 2, 2, 1, 2, 1, 3, 3, 0, 3, 0, 1, 1, 2, 4, 0, 2, 3, 0, 0, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 3, 3, 2, 0, 1, 3, 2, 1, 3, 0, 2, 2, 2, 0, 0, 1, 3, 0, 0, 0, 4, 1, 2, 4, 1, 4, 3, 1, 3, 0, 1, 3, 4, 1, 4, 4, 3, 4, 3, 2, 3, 2, 2, 1, 0, 1, 1, 4, 2, 0, 4, 2, 4, 4, 2, 1, 3, 4, 4, 1, 1, 0, 1, 1, 4, 3, 0, 3, 4, 0, 2, 3, 4, 4, 2, 3, 1, 4, 0, 0, 1, 2, 0, 0, 1, 3, 2, 1, 3, 1, 2, 3, 3, 0, 4, 1, 4, 1, 1, 4, 0, 4, 1, 0, 4, 3, 4, 3, 3, 4, 2, 3, 4, 4, 3, 0, 2, 2, 0, 3, 4, 4, 0, 3, 2, 4, 0, 0, 4, 0, 4, 2, 4, 4, 2, 0, 4, 0, 2, 4, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 4, 0, 0, 0, 1, 3] pubkeycol1402 = [3, 1, 2, 3, 3, 2, 4, 2, 4, 3, 3, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 4, 0, 0, 4, 4, 2, 0, 2, 3, 1, 0, 0, 1, 2, 3, 3, 3, 4, 2, 3, 0, 1, 4, 0, 0, 3, 1, 0, 1, 2, 3, 0, 2, 4, 1, 4, 1, 0, 1, 2, 2, 4, 3, 3, 2, 4, 2, 3, 4, 1, 4, 3, 2, 3, 0, 0, 1, 3, 0, 3, 3, 2, 0, 1, 1, 2, 1, 2, 1, 3, 3, 3, 3, 4, 3, 1, 2, 3, 0, 0, 2, 2, 0, 2, 2, 2, 4, 2, 0, 3, 2, 1, 1, 1, 3, 1, 1, 0, 1, 0, 0, 2, 2, 1, 4, 0, 0, 3, 2, 1, 1, 4, 4, 0, 3, 0, 0, 0, 1, 0, 3, 1, 1, 1, 2, 1, 0, 2, 1, 3, 3, 2, 4, 2, 0, 0, 1, 3, 4, 3, 3, 1, 2, 4, 0, 3, 4, 2, 0, 4, 1, 4, 1, 3, 2, 1, 0, 1, 2, 2, 2, 4, 3, 4, 0, 1, 2, 2, 4, 0, 4, 3, 4, 0, 3, 3, 3, 3, 2, 1, 4, 3, 1, 1, 1, 3, 0, 1, 0, 1, 4, 4, 0, 4, 4, 1, 1, 0, 0, 0, 4, 1, 3, 2, 0, 2, 4, 0, 3, 0, 0, 1, 2, 3, 3, 1, 2, 0, 4, 1, 3, 1, 0, 2, 3, 3, 1, 0, 2, 1, 0, 4, 0, 4, 2, 2, 3, 0, 0, 4, 0, 2, 0, 4, 1, 3, 1, 2, 0, 1, 4, 4, 2, 0, 2, 4, 1, 0, 1, 0, 4, 2, 0, 2, 2, 3, 0, 1, 4, 4, 1, 3, 1, 4, 2, 2, 0, 0, 3, 4, 2, 1, 4, 2, 3, 0, 3, 2, 1, 3, 2, 4, 0, 4, 4, 3, 1, 3, 0, 3, 1, 2, 2, 1, 4, 2, 1, 3, 4, 3, 0, 3, 1, 3, 3, 1, 4, 3, 2, 0, 4, 2, 1, 4, 0, 2, 1, 3, 3, 4, 1, 4, 0, 1, 2, 2, 4, 0, 0, 3, 3, 0, 2, 0, 2, 2, 2, 3, 2, 4, 4, 1, 4, 1, 0, 1, 0, 3, 4, 1, 0, 1, 2, 4, 0, 1, 2, 3, 0, 1, 0, 2, 3, 2, 0, 0, 4, 2, 0, 1, 2, 2, 4, 4, 1, 3, 3, 2, 2, 4, 0, 3, 0, 4, 2, 1, 1, 2, 4, 2, 2, 1, 0, 4, 0, 0, 1, 4, 1, 3, 3, 0, 3, 4, 3, 0, 0, 2, 2, 1, 1, 0, 3, 4, 3, 1, 3, 3, 4, 4, 4, 0, 0, 3, 1, 2, 3, 2, 1, 0, 2, 4, 0, 4, 3, 0, 3, 4, 2, 4, 1, 4, 1, 2, 4, 0, 0, 1] pubkeycol1403 = [1, 2, 0, 3, 2, 4, 1, 1, 0, 0, 4, 4, 0, 3, 3, 1, 4, 3, 3, 3, 2, 1, 4, 2, 0, 2, 3, 1, 0, 2, 3, 0, 4, 1, 0, 0, 1, 1, 2, 3, 2, 4, 1, 2, 4, 1, 4, 1, 4, 2, 4, 1, 3, 2, 1, 3, 3, 3, 3, 4, 4, 0, 2, 0, 4, 4, 1, 3, 1, 0, 2, 1, 1, 1, 3, 2, 4, 3, 3, 4, 4, 1, 2, 1, 0, 1, 3, 0, 2, 2, 0, 3, 0, 2, 1, 1, 1, 1, 4, 3, 0, 0, 0, 2, 2, 3, 3, 2, 3, 2, 1, 0, 4, 4, 3, 3, 2, 0, 2, 2, 3, 2, 4, 2, 1, 0, 0, 4, 3, 1, 0, 2, 2, 3, 4, 3, 1, 2, 4, 2, 3, 2, 2, 2, 1, 2, 3, 0, 3, 2, 1, 4, 1, 4, 1, 0, 2, 3, 1, 3, 3, 3, 1, 4, 2, 2, 0, 1, 1, 1, 2, 3, 3, 3, 1, 0, 4, 1, 2, 1, 3, 1, 0, 0, 1, 4, 2, 1, 3, 2, 4, 4, 1, 1, 3, 3, 3, 4, 1, 1, 2, 0, 2, 4, 1, 0, 0, 0, 3, 3, 2, 3, 3, 0, 4, 3, 3, 4, 2, 1, 2, 0, 4, 0, 4, 0, 4, 0, 3, 4, 4, 3, 0, 0, 1, 3, 4, 0, 4, 3, 4, 2, 0, 2, 4, 4, 3, 0, 2, 0, 4, 0, 3, 3, 4, 3, 2, 1, 3, 1, 3, 1, 3, 4, 0, 0, 2, 1, 0, 1, 2, 1, 4, 3, 2, 4, 0, 2, 0, 1, 2, 1, 0, 1, 3, 0, 0, 0, 3, 1, 1, 3, 2, 1, 2, 1, 0, 4, 0, 2, 1, 4, 1, 3, 4, 0, 3, 2, 0, 3, 3, 2, 2, 0, 1, 0, 4, 3, 4, 4, 2, 2, 1, 1, 3, 3, 0, 3, 1, 3, 1, 1, 4, 4, 0, 0, 0, 4, 2, 2, 0, 0, 4, 0, 2, 0, 4, 0, 4, 4, 4, 0, 3, 1, 4, 0, 3, 3, 2, 4, 2, 2, 1, 1, 3, 0, 0, 2, 0, 2, 1, 1, 2, 3, 2, 4, 1, 0, 1, 2, 3, 0, 1, 1, 2, 3, 1, 3, 1, 4, 0, 1, 0, 0, 1, 4, 1, 0, 0, 2, 2, 1, 4, 3, 2, 2, 4, 2, 2, 3, 4, 1, 0, 3, 3, 4, 1, 1, 0, 2, 3, 3, 3, 0, 3, 4, 2, 0, 3, 3, 4, 1, 1, 3, 0, 3, 4, 4, 2, 0, 0, 0, 4, 3, 1, 2, 4, 1, 4, 1, 2, 1, 0, 3, 4, 2, 1, 1, 2, 0, 4, 4, 1, 3, 1, 2, 2, 0, 1, 2, 4, 3, 0, 3, 0, 0, 4, 1, 2, 3] pubkeycol1404 = [4, 3, 3, 3, 2, 2, 4, 1, 4, 3, 4, 3, 4, 4, 1, 4, 1, 0, 4, 4, 0, 1, 4, 2, 0, 3, 3, 0, 1, 1, 1, 2, 4, 0, 0, 3, 4, 3, 2, 2, 0, 0, 3, 0, 3, 3, 1, 0, 0, 1, 0, 4, 3, 2, 1, 4, 4, 0, 4, 1, 3, 0, 0, 2, 1, 1, 2, 2, 3, 0, 4, 0, 0, 0, 2, 3, 2, 4, 1, 4, 1, 4, 3, 3, 3, 3, 4, 2, 3, 3, 1, 0, 2, 4, 3, 0, 4, 4, 3, 1, 1, 3, 0, 2, 0, 2, 1, 1, 0, 3, 2, 0, 2, 1, 0, 2, 0, 0, 0, 4, 3, 3, 2, 0, 2, 0, 2, 4, 4, 0, 0, 2, 3, 3, 3, 1, 3, 4, 3, 0, 0, 2, 1, 2, 1, 4, 4, 3, 3, 2, 3, 2, 3, 0, 2, 0, 1, 0, 0, 0, 2, 4, 0, 3, 2, 2, 0, 1, 2, 3, 3, 4, 3, 4, 3, 4, 1, 0, 3, 1, 0, 4, 4, 2, 1, 3, 2, 4, 4, 2, 3, 0, 2, 1, 1, 0, 3, 0, 1, 4, 4, 0, 3, 3, 1, 1, 2, 2, 4, 2, 4, 0, 3, 0, 0, 3, 0, 4, 2, 0, 0, 1, 0, 2, 1, 4, 2, 1, 2, 4, 2, 4, 4, 2, 3, 3, 1, 4, 3, 2, 0, 0, 3, 3, 1, 4, 4, 0, 2, 1, 0, 4, 1, 2, 2, 0, 4, 3, 3, 1, 1, 0, 4, 2, 1, 0, 3, 4, 4, 0, 3, 3, 4, 0, 2, 2, 1, 2, 3, 3, 2, 1, 0, 0, 2, 0, 3, 3, 2, 3, 3, 1, 4, 2, 1, 3, 0, 4, 1, 1, 4, 3, 3, 3, 0, 2, 0, 1, 2, 0, 0, 1, 3, 4, 2, 3, 4, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 4, 0, 4, 0, 1, 4, 0, 2, 3, 2, 2, 2, 1, 0, 4, 3, 2, 1, 1, 3, 2, 0, 2, 2, 0, 2, 1, 3, 2, 3, 4, 4, 2, 2, 2, 0, 4, 3, 3, 0, 3, 4, 0, 3, 3, 1, 3, 3, 4, 2, 0, 4, 1, 0, 1, 4, 4, 3, 2, 2, 3, 3, 3, 1, 1, 2, 3, 2, 4, 4, 0, 4, 4, 2, 1, 1, 3, 4, 0, 3, 4, 2, 4, 2, 2, 4, 4, 3, 0, 1, 0, 2, 4, 0, 4, 0, 2, 4, 3, 0, 3, 4, 1, 2, 4, 0, 0, 1, 3, 3, 1, 4, 1, 2, 4, 4, 2, 3, 4, 0, 4, 4, 4, 1, 4, 4, 3, 4, 4, 2, 4, 4, 3, 0, 1, 3, 3, 3, 0, 4, 4, 0, 3, 3, 4, 0, 0, 4, 3] pubkeycol1405 = [3, 0, 2, 4, 2, 4, 4, 4, 4, 4, 3, 2, 3, 0, 2, 3, 2, 2, 1, 4, 2, 4, 1, 3, 2, 4, 2, 1, 2, 3, 4, 3, 2, 2, 2, 2, 3, 1, 3, 2, 0, 1, 2, 2, 3, 2, 4, 3, 1, 0, 3, 2, 3, 2, 0, 3, 2, 0, 4, 2, 3, 2, 2, 4, 3, 2, 0, 0, 3, 1, 1, 2, 4, 3, 1, 2, 4, 4, 4, 4, 3, 4, 0, 3, 1, 1, 1, 0, 1, 3, 3, 1, 0, 3, 1, 2, 2, 0, 3, 4, 2, 1, 2, 0, 4, 0, 3, 2, 0, 2, 1, 4, 1, 4, 0, 0, 3, 0, 0, 2, 2, 2, 0, 3, 0, 4, 0, 4, 4, 3, 2, 0, 4, 3, 4, 1, 2, 2, 2, 3, 2, 2, 2, 0, 2, 3, 0, 4, 2, 1, 1, 1, 2, 2, 0, 1, 2, 3, 2, 2, 3, 0, 1, 3, 1, 4, 1, 0, 3, 2, 2, 2, 4, 1, 2, 1, 4, 3, 3, 4, 0, 2, 2, 2, 0, 2, 1, 1, 3, 1, 4, 4, 0, 3, 3, 0, 2, 0, 2, 0, 0, 4, 0, 2, 2, 1, 3, 3, 3, 2, 0, 3, 1, 0, 2, 0, 4, 2, 1, 3, 2, 3, 1, 2, 0, 1, 1, 2, 3, 2, 4, 2, 4, 0, 0, 3, 1, 3, 0, 1, 2, 2, 1, 3, 1, 1, 4, 1, 0, 4, 1, 4, 3, 0, 2, 4, 1, 2, 1, 4, 4, 3, 2, 4, 4, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 3, 1, 4, 2, 4, 3, 4, 4, 4, 0, 0, 3, 0, 3, 4, 2, 2, 2, 1, 4, 4, 0, 1, 2, 1, 0, 2, 2, 4, 0, 2, 1, 2, 4, 2, 2, 4, 0, 0, 1, 1, 3, 1, 3, 2, 2, 4, 1, 0, 1, 2, 0, 2, 3, 0, 1, 3, 0, 3, 1, 4, 4, 1, 0, 4, 4, 3, 2, 3, 2, 2, 4, 3, 0, 2, 1, 1, 3, 3, 4, 3, 4, 1, 2, 3, 0, 3, 2, 0, 4, 1, 2, 2, 2, 0, 2, 1, 2, 3, 3, 4, 4, 0, 4, 3, 1, 2, 1, 4, 0, 3, 0, 3, 4, 1, 0, 3, 3, 4, 4, 0, 1, 4, 0, 1, 2, 4, 3, 1, 4, 3, 1, 4, 4, 0, 1, 2, 3, 3, 3, 3, 3, 0, 1, 1, 0, 3, 0, 1, 4, 4, 1, 4, 1, 1, 2, 1, 4, 0, 1, 3, 2, 4, 3, 1, 3, 1, 4, 4, 3, 2, 0, 4, 2, 1, 4, 0, 0, 3, 1, 1, 1, 4, 3, 0, 0, 2, 1, 1, 4, 3, 0, 4, 0, 1, 4, 1, 3, 4, 4, 2, 2, 1, 1] pubkeycol1406 = [0, 1, 3, 2, 2, 2, 2, 2, 2, 2, 4, 0, 1, 2, 1, 2, 0, 0, 4, 2, 0, 2, 3, 1, 1, 3, 1, 3, 4, 2, 1, 3, 2, 2, 4, 0, 0, 2, 0, 1, 3, 3, 0, 3, 3, 2, 1, 2, 4, 3, 3, 4, 1, 4, 0, 1, 4, 3, 1, 4, 3, 0, 4, 2, 0, 3, 1, 4, 0, 1, 0, 4, 2, 1, 1, 3, 1, 2, 4, 3, 3, 3, 2, 0, 1, 0, 3, 1, 1, 1, 4, 1, 0, 2, 0, 0, 1, 0, 0, 1, 3, 1, 2, 4, 3, 4, 1, 2, 4, 0, 3, 0, 2, 0, 0, 4, 2, 1, 0, 3, 0, 2, 1, 1, 1, 1, 4, 1, 2, 1, 4, 3, 1, 3, 4, 2, 3, 4, 2, 0, 3, 3, 2, 4, 1, 1, 2, 1, 2, 3, 0, 0, 1, 4, 0, 0, 3, 4, 2, 3, 2, 4, 0, 0, 3, 3, 2, 2, 4, 2, 2, 4, 0, 4, 3, 2, 2, 0, 0, 3, 1, 0, 0, 0, 2, 3, 2, 1, 0, 3, 1, 4, 0, 4, 2, 2, 2, 3, 3, 3, 1, 3, 1, 1, 3, 4, 0, 1, 2, 1, 0, 0, 2, 3, 1, 0, 0, 0, 2, 0, 1, 4, 4, 3, 4, 2, 2, 2, 4, 4, 0, 0, 0, 4, 1, 0, 0, 0, 1, 1, 4, 2, 2, 0, 4, 2, 2, 0, 1, 0, 4, 1, 2, 0, 2, 2, 3, 4, 4, 2, 0, 4, 2, 1, 0, 0, 0, 1, 3, 1, 4, 4, 4, 4, 4, 0, 1, 3, 4, 2, 1, 1, 4, 4, 3, 1, 1, 4, 4, 4, 0, 3, 4, 4, 0, 4, 1, 1, 3, 1, 2, 0, 0, 0, 1, 0, 4, 2, 3, 1, 4, 0, 3, 4, 4, 2, 2, 0, 4, 2, 2, 4, 1, 0, 0, 3, 4, 1, 4, 1, 0, 1, 2, 3, 1, 0, 4, 3, 4, 4, 0, 1, 1, 4, 4, 0, 1, 3, 3, 3, 0, 1, 0, 3, 3, 0, 1, 1, 4, 3, 4, 4, 0, 0, 4, 4, 2, 1, 1, 4, 2, 1, 4, 4, 2, 2, 0, 1, 1, 1, 4, 4, 0, 0, 2, 1, 3, 3, 2, 2, 1, 1, 2, 1, 0, 3, 3, 4, 3, 4, 0, 1, 3, 1, 4, 0, 1, 4, 1, 2, 0, 4, 3, 0, 3, 2, 2, 0, 0, 0, 3, 2, 0, 2, 0, 0, 4, 4, 4, 4, 3, 3, 1, 3, 0, 4, 4, 4, 3, 1, 0, 4, 2, 3, 0, 2, 1, 1, 4, 2, 0, 3, 1, 4, 2, 2, 0, 0, 0, 3, 1, 2, 4, 1, 4, 1, 4, 2, 1, 2, 3, 3, 2, 2, 0, 4, 0, 4, 4, 0] pubkeycol1407 = [3, 0, 2, 0, 4, 1, 0, 0, 0, 3, 4, 1, 3, 2, 1, 0, 2, 2, 4, 4, 0, 0, 0, 0, 3, 1, 2, 0, 0, 3, 3, 1, 0, 3, 1, 1, 1, 0, 4, 1, 3, 2, 1, 1, 1, 0, 2, 2, 1, 3, 4, 2, 0, 0, 2, 0, 2, 2, 0, 1, 3, 3, 4, 0, 0, 3, 4, 2, 0, 2, 2, 2, 3, 2, 2, 3, 4, 0, 1, 2, 3, 0, 2, 1, 1, 4, 2, 3, 3, 1, 0, 0, 1, 4, 2, 4, 3, 3, 0, 1, 2, 0, 0, 4, 2, 2, 1, 3, 1, 0, 4, 2, 4, 0, 2, 4, 0, 3, 4, 3, 1, 4, 1, 3, 2, 0, 0, 3, 0, 1, 0, 3, 2, 0, 0, 0, 3, 4, 3, 2, 0, 2, 4, 2, 4, 0, 0, 4, 4, 4, 2, 4, 1, 2, 4, 3, 1, 2, 3, 3, 0, 4, 1, 3, 2, 3, 1, 3, 2, 4, 0, 2, 0, 2, 2, 3, 0, 0, 3, 4, 4, 1, 0, 4, 2, 1, 2, 2, 1, 2, 4, 0, 0, 0, 2, 2, 4, 1, 4, 3, 2, 4, 2, 1, 0, 4, 0, 2, 4, 0, 2, 3, 3, 1, 3, 4, 0, 2, 3, 3, 4, 1, 2, 3, 3, 3, 1, 2, 0, 3, 0, 3, 2, 0, 0, 4, 2, 0, 0, 1, 0, 2, 1, 0, 2, 4, 3, 3, 3, 3, 0, 1, 1, 2, 0, 0, 2, 3, 0, 2, 1, 4, 1, 3, 4, 2, 4, 4, 1, 0, 1, 3, 3, 4, 0, 2, 3, 1, 2, 1, 4, 2, 2, 1, 1, 0, 4, 4, 2, 3, 3, 3, 0, 0, 0, 4, 3, 4, 3, 1, 4, 3, 0, 3, 2, 1, 2, 4, 2, 2, 4, 2, 2, 3, 4, 0, 2, 3, 2, 0, 2, 4, 2, 2, 0, 3, 3, 1, 4, 4, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 2, 1, 2, 3, 1, 1, 1, 3, 0, 3, 2, 2, 2, 2, 1, 2, 3, 2, 2, 0, 0, 3, 1, 1, 0, 1, 1, 3, 4, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 3, 1, 0, 0, 2, 2, 1, 2, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 4, 2, 1, 2, 3, 4, 0, 2, 3, 0, 3, 0, 1, 4, 3, 0, 4, 4, 1, 3, 0, 3, 4, 3, 1, 2, 1, 2, 3, 2, 3, 1, 0, 2, 3, 4, 2, 2, 3, 2, 2, 2, 1, 2, 0, 0, 3, 2, 0, 4, 0, 4, 2, 2, 1, 3, 0, 2, 1, 0, 2, 2, 3, 4, 3, 0, 3, 1, 0, 4, 3, 1, 4, 3, 4, 3] pubkeycol1408 = [1, 1, 1, 0, 2, 2, 0, 3, 4, 4, 1, 4, 2, 0, 4, 2, 3, 3, 4, 1, 1, 2, 3, 0, 1, 1, 4, 1, 1, 1, 0, 1, 0, 1, 4, 3, 3, 1, 3, 2, 4, 1, 1, 4, 1, 0, 3, 1, 1, 0, 2, 2, 1, 1, 3, 3, 0, 3, 3, 3, 3, 1, 3, 3, 2, 0, 4, 0, 2, 3, 3, 4, 1, 2, 4, 0, 0, 4, 3, 4, 3, 2, 0, 4, 0, 2, 1, 2, 4, 0, 3, 1, 1, 1, 2, 3, 3, 4, 2, 4, 1, 1, 0, 1, 4, 3, 0, 3, 3, 3, 0, 3, 2, 0, 3, 4, 3, 3, 0, 2, 4, 2, 3, 3, 2, 3, 2, 0, 3, 0, 2, 1, 2, 3, 2, 3, 4, 2, 4, 0, 1, 3, 1, 3, 3, 1, 1, 2, 3, 3, 0, 1, 3, 0, 1, 3, 0, 4, 1, 0, 1, 1, 3, 2, 0, 4, 2, 2, 0, 3, 2, 3, 1, 1, 0, 2, 0, 0, 4, 3, 4, 4, 2, 0, 1, 2, 2, 1, 3, 4, 1, 0, 0, 0, 4, 4, 3, 1, 1, 3, 3, 4, 2, 1, 4, 0, 3, 1, 0, 0, 1, 1, 2, 1, 3, 4, 3, 2, 0, 2, 0, 1, 2, 3, 1, 3, 1, 0, 1, 0, 2, 1, 2, 3, 3, 0, 0, 3, 4, 1, 2, 3, 2, 2, 4, 2, 0, 3, 4, 4, 1, 4, 4, 0, 3, 1, 0, 3, 0, 4, 1, 4, 3, 1, 1, 2, 0, 4, 3, 4, 0, 2, 2, 2, 4, 4, 3, 2, 2, 3, 4, 2, 2, 3, 1, 4, 4, 3, 0, 3, 0, 2, 4, 4, 1, 2, 0, 0, 3, 2, 1, 0, 3, 0, 2, 4, 4, 1, 1, 0, 3, 3, 3, 3, 4, 3, 3, 0, 2, 3, 3, 3, 3, 1, 2, 0, 2, 2, 3, 0, 0, 3, 0, 1, 2, 1, 3, 2, 4, 3, 1, 0, 3, 4, 1, 3, 0, 3, 2, 4, 4, 4, 0, 0, 0, 2, 3, 1, 2, 0, 2, 1, 1, 3, 0, 4, 1, 4, 2, 4, 4, 0, 0, 2, 3, 2, 1, 2, 0, 0, 2, 0, 1, 1, 4, 0, 3, 4, 1, 2, 4, 4, 1, 2, 0, 4, 1, 3, 3, 2, 4, 1, 0, 4, 3, 1, 4, 1, 2, 2, 1, 0, 0, 2, 1, 3, 3, 1, 3, 1, 4, 1, 0, 4, 0, 0, 2, 0, 0, 2, 1, 2, 3, 1, 0, 3, 1, 0, 1, 0, 0, 0, 3, 0, 4, 1, 0, 1, 4, 4, 0, 4, 4, 3, 0, 0, 3, 2, 3, 1, 0, 1, 1, 4, 2, 2, 2, 0, 0, 0, 4, 4, 0, 1, 3, 3, 1, 0, 2, 1] pubkeycol1409 = [4, 3, 3, 1, 1, 1, 4, 0, 2, 3, 3, 2, 1, 3, 3, 0, 0, 2, 3, 1, 2, 4, 0, 4, 3, 2, 3, 2, 1, 3, 0, 2, 3, 2, 4, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 3, 1, 3, 3, 1, 1, 1, 3, 2, 0, 0, 0, 2, 4, 3, 4, 1, 4, 4, 1, 3, 3, 4, 0, 0, 1, 4, 0, 4, 2, 0, 3, 1, 4, 3, 3, 4, 1, 0, 4, 3, 1, 3, 4, 1, 3, 3, 3, 4, 1, 2, 2, 0, 4, 2, 4, 3, 3, 0, 3, 0, 4, 1, 0, 2, 2, 3, 0, 3, 4, 4, 2, 4, 4, 3, 0, 2, 4, 0, 4, 2, 2, 3, 3, 0, 2, 4, 0, 1, 4, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 0, 3, 3, 1, 0, 1, 2, 1, 0, 1, 2, 3, 4, 2, 2, 2, 1, 3, 3, 0, 2, 4, 0, 2, 4, 0, 0, 1, 0, 0, 3, 3, 0, 0, 2, 4, 3, 0, 3, 4, 2, 2, 1, 1, 0, 0, 3, 2, 4, 0, 3, 0, 1, 4, 4, 4, 4, 3, 1, 1, 3, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 4, 4, 4, 4, 0, 3, 1, 2, 0, 2, 3, 3, 0, 1, 1, 2, 2, 1, 4, 4, 3, 3, 1, 3, 3, 2, 3, 4, 0, 1, 3, 1, 2, 4, 0, 0, 0, 3, 4, 0, 2, 2, 2, 1, 2, 3, 3, 4, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 0, 3, 1, 2, 1, 1, 1, 3, 1, 3, 0, 3, 1, 4, 4, 0, 4, 3, 0, 4, 2, 0, 1, 2, 3, 2, 3, 2, 4, 3, 0, 4, 3, 2, 0, 4, 3, 4, 3, 2, 4, 2, 1, 0, 0, 2, 1, 2, 4, 1, 1, 0, 1, 0, 4, 1, 4, 0, 4, 4, 3, 4, 0, 4, 3, 3, 2, 2, 2, 4, 0, 4, 1, 3, 4, 2, 4, 0, 4, 1, 0, 2, 3, 2, 0, 3, 0, 1, 3, 2, 2, 0, 4, 3, 0, 2, 0, 3, 2, 1, 3, 1, 3, 3, 2, 3, 3, 4, 1, 2, 0, 1, 4, 1, 0, 0, 0, 2, 4, 1, 1, 4, 2, 4, 3, 0, 2, 0, 2, 0, 4, 1, 0, 2, 3, 0, 3, 2, 0, 1, 3, 1, 0, 1, 3, 0, 1, 3, 3, 4, 3, 0, 3, 3, 0, 1, 1, 0, 2, 4, 0, 0, 3, 3, 1, 4, 0, 4, 2, 0, 0, 1, 1, 0, 2, 1, 4, 1, 2, 3, 2, 2, 0, 0, 1, 0, 1, 3, 1, 4, 0, 4, 4, 1, 1, 0, 0, 2, 3] pubkeycol1410 = [3, 1, 3, 0, 0, 4, 3, 4, 4, 2, 3, 0, 3, 2, 3, 3, 2, 0, 3, 1, 3, 3, 3, 3, 1, 0, 3, 2, 3, 1, 2, 2, 3, 3, 2, 2, 4, 3, 3, 4, 4, 2, 1, 0, 0, 3, 1, 0, 2, 0, 3, 4, 1, 0, 0, 4, 4, 1, 3, 1, 4, 4, 2, 1, 3, 3, 0, 3, 4, 1, 3, 1, 2, 2, 2, 2, 4, 2, 1, 1, 2, 4, 4, 4, 2, 4, 1, 4, 1, 1, 3, 0, 2, 4, 0, 3, 3, 1, 1, 0, 1, 0, 2, 3, 4, 3, 0, 2, 0, 1, 4, 1, 1, 2, 4, 1, 1, 1, 4, 2, 1, 0, 4, 1, 0, 4, 1, 1, 0, 4, 2, 3, 0, 1, 2, 1, 0, 4, 3, 2, 1, 0, 3, 4, 1, 0, 1, 4, 3, 4, 1, 3, 0, 1, 0, 2, 1, 3, 2, 1, 2, 2, 0, 1, 4, 4, 0, 4, 3, 2, 2, 4, 4, 0, 0, 4, 4, 4, 1, 1, 0, 2, 4, 0, 3, 0, 4, 2, 2, 1, 1, 3, 2, 0, 4, 3, 4, 1, 0, 3, 3, 3, 3, 1, 2, 1, 3, 1, 4, 0, 2, 1, 3, 1, 2, 4, 2, 2, 1, 2, 1, 0, 2, 4, 0, 3, 3, 1, 3, 2, 4, 3, 4, 2, 2, 4, 1, 1, 1, 4, 2, 4, 3, 0, 2, 1, 3, 1, 1, 3, 1, 1, 2, 0, 0, 2, 0, 1, 4, 3, 1, 1, 0, 0, 0, 1, 4, 3, 1, 0, 2, 2, 4, 4, 0, 0, 1, 1, 0, 0, 4, 3, 0, 2, 4, 4, 3, 0, 4, 4, 3, 0, 0, 2, 3, 4, 2, 0, 4, 1, 0, 3, 3, 3, 0, 1, 2, 0, 3, 3, 1, 1, 2, 0, 1, 2, 0, 2, 4, 1, 2, 3, 4, 1, 1, 4, 2, 0, 4, 2, 3, 3, 1, 1, 1, 4, 2, 1, 2, 4, 2, 2, 3, 1, 3, 3, 1, 0, 1, 2, 2, 2, 3, 3, 4, 2, 0, 0, 0, 3, 1, 2, 3, 1, 2, 0, 3, 4, 0, 2, 3, 4, 3, 1, 0, 4, 4, 0, 1, 1, 3, 0, 1, 2, 4, 1, 4, 0, 0, 0, 0, 1, 2, 3, 0, 0, 4, 4, 2, 2, 1, 3, 3, 2, 0, 0, 2, 2, 0, 0, 2, 4, 4, 2, 2, 3, 1, 3, 2, 3, 2, 4, 0, 2, 0, 4, 2, 2, 1, 2, 1, 4, 2, 0, 3, 4, 2, 0, 1, 4, 1, 3, 2, 3, 3, 0, 2, 4, 1, 1, 1, 0, 3, 4, 0, 4, 0, 0, 1, 3, 0, 0, 2, 1, 4, 2, 2, 4, 1, 2, 2, 4, 3, 3, 1, 0, 1, 2, 4, 2] pubkeycol1411 = [4, 3, 3, 1, 0, 3, 0, 4, 4, 0, 2, 4, 3, 3, 4, 2, 0, 4, 0, 2, 3, 2, 4, 1, 4, 0, 0, 2, 4, 2, 2, 1, 1, 1, 3, 1, 1, 4, 4, 0, 0, 4, 2, 0, 3, 3, 1, 3, 1, 3, 4, 2, 3, 3, 3, 3, 1, 2, 4, 3, 0, 3, 4, 0, 2, 1, 0, 4, 0, 3, 2, 3, 2, 4, 1, 3, 4, 2, 0, 3, 1, 4, 3, 3, 4, 4, 0, 0, 1, 1, 3, 1, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 4, 2, 1, 0, 4, 0, 4, 3, 4, 2, 4, 1, 2, 3, 2, 3, 3, 0, 0, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 1, 1, 2, 3, 3, 2, 3, 2, 2, 0, 4, 3, 1, 0, 0, 1, 3, 0, 1, 0, 3, 1, 2, 0, 0, 0, 1, 1, 2, 0, 4, 4, 1, 3, 4, 1, 3, 0, 1, 4, 1, 4, 2, 1, 0, 2, 4, 0, 1, 0, 3, 2, 4, 4, 1, 4, 0, 3, 3, 0, 4, 0, 0, 0, 0, 1, 1, 1, 3, 1, 1, 2, 0, 2, 2, 2, 0, 3, 3, 0, 3, 1, 2, 0, 1, 2, 0, 3, 4, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 3, 0, 4, 2, 1, 3, 4, 2, 2, 0, 0, 4, 3, 0, 2, 4, 4, 4, 2, 1, 3, 0, 0, 1, 4, 1, 3, 4, 2, 1, 4, 1, 4, 1, 0, 4, 2, 4, 0, 1, 3, 0, 0, 1, 3, 2, 0, 1, 3, 3, 0, 3, 0, 2, 4, 3, 4, 0, 1, 1, 1, 3, 0, 2, 0, 4, 3, 1, 4, 3, 4, 1, 2, 0, 3, 1, 4, 1, 0, 0, 2, 0, 0, 1, 4, 3, 3, 0, 1, 4, 1, 2, 0, 1, 4, 4, 0, 0, 0, 3, 2, 3, 0, 3, 3, 4, 0, 1, 0, 2, 4, 2, 2, 4, 1, 2, 4, 3, 1, 2, 2, 0, 3, 2, 3, 3, 1, 0, 1, 4, 3, 2, 1, 0, 1, 2, 0, 2, 2, 3, 0, 3, 3, 0, 0, 0, 2, 4, 0, 3, 4, 4, 2, 2, 1, 3, 0, 0, 1, 2, 3, 3, 0, 0, 2, 3, 4, 2, 1, 2, 4, 2, 2, 4, 4, 3, 2, 2, 2, 1, 0, 4, 3, 1, 3, 3, 3, 3, 4, 4, 4, 0, 4, 4, 1, 3, 3, 0, 2, 2, 4, 3, 2, 4, 2, 3, 0, 3, 3, 2, 2, 2, 1, 3, 3, 3, 1, 3, 1, 3, 2, 3, 1, 2, 4, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 4, 0, 1, 0, 1, 1, 2, 4, 4, 4, 0, 4] pubkeycol1412 = [4, 4, 1, 3, 3, 0, 0, 3, 2, 3, 4, 4, 4, 1, 4, 1, 4, 3, 2, 3, 0, 3, 1, 1, 2, 3, 2, 4, 3, 4, 4, 4, 4, 1, 4, 3, 1, 4, 4, 0, 1, 2, 1, 1, 4, 3, 0, 1, 4, 4, 1, 4, 1, 2, 4, 4, 3, 0, 2, 3, 0, 1, 0, 0, 0, 4, 0, 1, 1, 0, 3, 0, 2, 0, 3, 2, 2, 2, 4, 4, 2, 0, 0, 3, 3, 0, 4, 2, 0, 0, 3, 1, 4, 2, 0, 3, 1, 2, 1, 0, 4, 0, 1, 3, 3, 2, 1, 3, 3, 4, 2, 0, 3, 0, 2, 2, 3, 0, 4, 4, 1, 2, 4, 2, 3, 2, 4, 3, 2, 0, 2, 0, 3, 1, 2, 0, 0, 0, 1, 1, 0, 3, 0, 0, 4, 4, 3, 2, 4, 3, 0, 3, 1, 4, 0, 4, 4, 2, 1, 0, 0, 2, 4, 4, 2, 3, 0, 2, 1, 0, 2, 0, 3, 2, 1, 4, 2, 2, 4, 3, 0, 1, 4, 1, 2, 2, 0, 1, 3, 2, 2, 3, 1, 3, 2, 4, 1, 2, 3, 0, 2, 4, 0, 3, 0, 4, 2, 1, 0, 4, 0, 3, 2, 0, 3, 0, 1, 0, 3, 4, 1, 3, 1, 1, 0, 4, 2, 1, 4, 1, 0, 0, 3, 0, 0, 0, 0, 4, 3, 2, 0, 4, 0, 0, 0, 4, 4, 4, 1, 3, 0, 0, 0, 3, 3, 2, 0, 0, 2, 1, 4, 4, 3, 0, 4, 1, 0, 0, 4, 3, 3, 0, 2, 4, 1, 1, 2, 2, 1, 4, 0, 3, 0, 3, 0, 1, 2, 4, 0, 1, 0, 1, 4, 4, 0, 4, 0, 4, 4, 3, 4, 1, 4, 2, 0, 4, 0, 0, 0, 0, 3, 0, 2, 4, 0, 4, 0, 2, 1, 1, 3, 4, 4, 2, 1, 4, 4, 0, 4, 1, 2, 4, 2, 1, 2, 3, 0, 0, 1, 1, 4, 1, 0, 3, 2, 3, 1, 0, 0, 3, 3, 4, 0, 1, 1, 0, 4, 0, 1, 1, 3, 2, 3, 2, 1, 2, 2, 4, 1, 2, 2, 4, 0, 2, 2, 1, 4, 3, 0, 4, 4, 0, 1, 1, 3, 1, 2, 4, 4, 1, 3, 1, 4, 2, 1, 4, 3, 3, 2, 0, 2, 1, 4, 1, 4, 4, 3, 0, 2, 3, 4, 2, 3, 0, 0, 0, 2, 1, 2, 4, 0, 0, 4, 3, 4, 4, 4, 4, 4, 3, 2, 2, 2, 3, 0, 4, 0, 1, 1, 3, 3, 2, 0, 2, 4, 0, 0, 3, 2, 0, 3, 4, 4, 2, 1, 2, 0, 3, 0, 3, 0, 2, 0, 0, 4, 0, 4, 3, 0, 4, 1, 1, 3, 4, 1, 4, 4, 4, 4, 0] pubkeycol1413 = [4, 2, 3, 2, 2, 1, 4, 2, 3, 4, 1, 0, 2, 3, 2, 1, 0, 4, 3, 3, 2, 3, 0, 3, 4, 3, 2, 1, 4, 0, 1, 2, 3, 2, 0, 2, 4, 4, 4, 2, 1, 0, 1, 4, 4, 1, 4, 2, 4, 1, 1, 1, 0, 0, 1, 0, 0, 4, 4, 2, 3, 1, 1, 0, 0, 3, 2, 3, 2, 4, 0, 0, 4, 1, 3, 3, 4, 2, 3, 1, 1, 3, 3, 1, 2, 4, 1, 1, 4, 4, 2, 1, 0, 3, 2, 2, 2, 3, 2, 3, 4, 4, 1, 1, 2, 3, 1, 3, 2, 0, 0, 2, 4, 0, 0, 2, 3, 0, 2, 2, 2, 1, 2, 4, 1, 3, 1, 4, 2, 3, 0, 3, 2, 4, 4, 1, 3, 3, 0, 1, 2, 2, 1, 0, 4, 1, 2, 0, 2, 1, 1, 4, 2, 0, 1, 2, 2, 1, 0, 4, 2, 0, 2, 0, 4, 2, 3, 0, 2, 2, 4, 1, 2, 4, 3, 0, 3, 0, 4, 3, 0, 1, 4, 3, 3, 1, 3, 4, 0, 3, 2, 4, 4, 3, 3, 2, 1, 1, 1, 3, 0, 0, 1, 1, 4, 0, 2, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 0, 2, 4, 3, 2, 4, 2, 4, 0, 3, 2, 0, 2, 0, 3, 3, 4, 4, 1, 2, 3, 4, 2, 4, 1, 4, 3, 1, 2, 2, 2, 4, 2, 3, 2, 0, 3, 2, 4, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 3, 2, 4, 0, 4, 3, 4, 4, 4, 3, 2, 2, 1, 0, 3, 1, 3, 3, 2, 1, 0, 3, 0, 2, 2, 0, 1, 2, 1, 3, 2, 0, 0, 2, 3, 2, 0, 2, 2, 1, 3, 4, 4, 2, 4, 3, 1, 4, 2, 3, 4, 3, 4, 3, 0, 2, 1, 4, 3, 1, 1, 0, 2, 4, 1, 4, 1, 1, 1, 1, 3, 4, 2, 4, 0, 2, 2, 2, 4, 1, 1, 1, 2, 3, 2, 0, 3, 2, 2, 4, 4, 4, 1, 0, 2, 1, 2, 4, 2, 4, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 4, 0, 0, 1, 4, 4, 3, 2, 2, 1, 4, 2, 4, 4, 0, 0, 3, 0, 2, 0, 0, 2, 2, 2, 0, 4, 1, 0, 2, 1, 4, 3, 2, 0, 3, 3, 1, 0, 2, 4, 4, 3, 4, 2, 2, 0, 1, 4, 2, 0, 2, 2, 0, 3, 2, 1, 1, 3, 0, 0, 1, 1, 0, 3, 4, 1, 1, 3, 4, 2, 2, 3, 2, 3, 2, 2, 3, 2, 4, 2, 2, 4, 3, 1, 1, 3, 1, 3, 0, 3, 0, 0, 3, 1, 2, 3, 0, 2, 2] pubkeycol1414 = [2, 1, 2, 2, 2, 0, 2, 3, 4, 1, 4, 3, 1, 2, 1, 1, 3, 1, 4, 0, 4, 1, 2, 4, 0, 1, 1, 2, 3, 2, 2, 0, 0, 4, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 2, 2, 4, 2, 3, 3, 1, 0, 2, 3, 1, 1, 0, 1, 3, 0, 4, 0, 1, 2, 4, 4, 0, 3, 4, 0, 2, 1, 3, 3, 3, 2, 0, 3, 3, 3, 0, 4, 1, 3, 0, 0, 4, 0, 0, 4, 4, 2, 0, 4, 1, 4, 3, 1, 0, 2, 1, 0, 4, 1, 0, 0, 3, 2, 1, 3, 1, 1, 2, 1, 4, 4, 3, 0, 2, 4, 3, 1, 3, 2, 2, 0, 4, 1, 2, 1, 1, 4, 1, 0, 4, 1, 1, 2, 4, 1, 3, 2, 4, 3, 1, 4, 0, 2, 4, 1, 2, 3, 4, 4, 2, 2, 1, 0, 1, 1, 1, 1, 0, 3, 3, 2, 0, 1, 3, 0, 1, 3, 0, 3, 0, 3, 1, 4, 3, 3, 4, 2, 1, 3, 0, 1, 4, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 4, 2, 4, 2, 0, 4, 2, 2, 3, 1, 2, 3, 1, 3, 3, 4, 0, 1, 1, 4, 1, 2, 3, 4, 0, 0, 0, 3, 2, 3, 2, 0, 2, 2, 3, 1, 0, 0, 0, 0, 0, 3, 1, 0, 4, 2, 3, 0, 0, 0, 3, 3, 0, 1, 4, 2, 1, 1, 0, 0, 2, 0, 4, 1, 2, 3, 3, 3, 1, 0, 0, 0, 2, 4, 0, 2, 3, 4, 4, 3, 4, 2, 0, 3, 1, 3, 4, 2, 1, 1, 3, 1, 2, 1, 2, 0, 1, 2, 3, 1, 2, 0, 3, 1, 0, 2, 0, 4, 1, 3, 0, 4, 0, 1, 1, 3, 1, 4, 3, 3, 1, 2, 4, 1, 1, 1, 3, 1, 4, 4, 1, 4, 3, 0, 1, 4, 4, 1, 3, 0, 0, 0, 4, 4, 1, 0, 1, 0, 4, 0, 3, 2, 3, 4, 0, 3, 3, 1, 3, 1, 3, 3, 4, 2, 3, 2, 0, 1, 2, 4, 4, 3, 1, 0, 2, 0, 1, 4, 1, 4, 0, 4, 2, 4, 2, 3, 3, 2, 4, 0, 3, 2, 0, 3, 2, 3, 2, 1, 4, 3, 3, 3, 2, 4, 1, 1, 3, 1, 3, 1, 1, 1, 1, 2, 0, 2, 0, 0, 3, 2, 4, 4, 3, 4, 1, 4, 3, 0, 0, 0, 1, 4, 3, 1, 4, 4, 1, 3, 0, 1, 4, 0, 4, 1, 2, 0, 2, 0, 1, 4, 2, 2, 3, 1, 4, 2, 2, 3, 3, 0, 3, 0, 1, 0, 0, 4, 4, 0, 0, 3, 2, 1, 4, 1, 1, 4, 4, 2, 0, 3] pubkeycol1415 = [2, 1, 3, 4, 3, 2, 0, 0, 3, 0, 0, 3, 1, 0, 1, 2, 2, 3, 4, 2, 3, 3, 3, 0, 4, 4, 2, 1, 2, 2, 1, 4, 1, 2, 0, 4, 4, 3, 0, 2, 0, 2, 4, 1, 1, 4, 4, 3, 1, 4, 2, 2, 2, 1, 2, 2, 3, 0, 1, 2, 2, 4, 3, 2, 0, 0, 2, 1, 2, 0, 4, 2, 1, 0, 4, 0, 4, 4, 2, 0, 3, 1, 3, 4, 2, 2, 2, 2, 1, 4, 2, 1, 2, 3, 2, 3, 1, 2, 0, 0, 2, 3, 2, 4, 1, 3, 4, 0, 2, 1, 4, 4, 3, 2, 2, 2, 3, 0, 4, 4, 4, 0, 3, 3, 3, 4, 3, 2, 0, 2, 1, 3, 0, 2, 3, 3, 4, 2, 0, 4, 4, 1, 3, 3, 4, 4, 2, 0, 3, 2, 1, 3, 2, 1, 4, 2, 3, 1, 0, 3, 3, 3, 4, 4, 1, 3, 0, 0, 3, 0, 3, 4, 3, 4, 1, 4, 0, 3, 4, 4, 4, 2, 1, 0, 2, 3, 1, 3, 1, 4, 0, 4, 2, 0, 2, 3, 1, 2, 0, 0, 2, 3, 2, 1, 4, 0, 4, 3, 2, 3, 3, 0, 3, 4, 4, 4, 0, 0, 2, 3, 1, 4, 0, 0, 3, 1, 3, 3, 0, 2, 2, 3, 4, 0, 3, 2, 4, 4, 1, 0, 4, 1, 0, 0, 4, 1, 2, 4, 0, 4, 4, 4, 1, 4, 0, 2, 3, 0, 0, 0, 0, 1, 0, 1, 4, 1, 1, 0, 4, 3, 3, 1, 1, 1, 3, 2, 3, 2, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 4, 3, 4, 3, 1, 1, 4, 4, 1, 1, 3, 2, 0, 4, 1, 1, 3, 1, 4, 3, 2, 0, 0, 3, 4, 3, 0, 3, 2, 2, 3, 2, 2, 4, 4, 2, 0, 3, 3, 0, 2, 0, 1, 3, 0, 3, 3, 4, 4, 4, 0, 0, 1, 3, 2, 0, 0, 1, 1, 4, 0, 2, 3, 0, 4, 2, 0, 2, 2, 4, 4, 2, 3, 3, 2, 3, 2, 1, 2, 4, 4, 0, 1, 1, 3, 2, 0, 1, 0, 2, 4, 3, 0, 0, 3, 4, 0, 3, 4, 1, 4, 2, 1, 0, 1, 2, 2, 2, 4, 4, 3, 4, 0, 2, 0, 3, 0, 2, 3, 1, 1, 4, 1, 3, 1, 2, 2, 2, 2, 4, 0, 1, 1, 0, 3, 1, 1, 2, 4, 3, 1, 3, 0, 0, 3, 4, 3, 1, 3, 0, 0, 4, 1, 3, 3, 1, 0, 3, 3, 1, 3, 3, 0, 0, 0, 2, 4, 1, 0, 2, 4, 1, 2, 0, 3, 1, 0, 4, 1, 1, 3, 3, 4, 1, 0, 4, 4, 1, 3, 2, 0, 2] pubkeycol1416 = [2, 2, 1, 3, 3, 3, 2, 0, 4, 2, 2, 4, 1, 3, 2, 1, 4, 0, 2, 2, 1, 0, 0, 0, 0, 4, 3, 2, 2, 2, 2, 2, 3, 3, 1, 4, 0, 1, 2, 0, 4, 3, 3, 0, 3, 2, 3, 4, 1, 1, 1, 1, 1, 4, 1, 4, 3, 4, 4, 4, 0, 3, 4, 0, 3, 4, 2, 2, 3, 3, 2, 3, 1, 0, 4, 1, 3, 3, 3, 2, 1, 2, 4, 0, 0, 4, 3, 4, 0, 2, 2, 1, 3, 3, 3, 3, 0, 1, 2, 1, 3, 2, 1, 1, 3, 3, 1, 2, 2, 1, 0, 1, 2, 0, 3, 4, 4, 1, 4, 4, 3, 4, 4, 4, 0, 1, 2, 1, 2, 1, 2, 2, 0, 4, 3, 0, 2, 0, 2, 4, 3, 1, 1, 1, 1, 2, 1, 3, 4, 0, 3, 3, 2, 2, 2, 4, 2, 1, 4, 4, 0, 0, 0, 1, 2, 1, 4, 1, 1, 2, 2, 0, 2, 0, 1, 4, 1, 0, 3, 3, 0, 4, 3, 0, 3, 2, 1, 1, 3, 4, 4, 1, 3, 2, 1, 0, 4, 2, 1, 4, 0, 2, 4, 2, 2, 4, 0, 0, 2, 2, 1, 3, 1, 0, 1, 3, 1, 4, 1, 2, 2, 2, 1, 2, 2, 3, 0, 3, 0, 1, 0, 2, 0, 4, 1, 3, 3, 3, 3, 1, 1, 4, 3, 2, 0, 3, 1, 4, 0, 3, 1, 4, 1, 4, 4, 1, 3, 2, 4, 4, 3, 4, 0, 1, 4, 4, 3, 4, 0, 0, 0, 2, 3, 2, 0, 3, 3, 2, 3, 4, 4, 1, 4, 3, 1, 3, 0, 1, 3, 1, 1, 4, 4, 1, 0, 0, 0, 1, 1, 0, 0, 3, 1, 2, 1, 0, 2, 3, 4, 2, 2, 3, 4, 2, 2, 0, 4, 0, 4, 3, 1, 3, 0, 4, 2, 2, 3, 0, 0, 3, 4, 4, 3, 1, 3, 3, 2, 1, 2, 3, 0, 1, 0, 1, 4, 1, 0, 3, 4, 1, 3, 0, 4, 1, 0, 1, 0, 2, 3, 2, 3, 4, 3, 3, 0, 0, 0, 1, 0, 1, 2, 2, 3, 2, 4, 2, 1, 4, 4, 2, 4, 2, 2, 0, 4, 1, 1, 4, 4, 4, 1, 0, 1, 0, 4, 1, 1, 3, 4, 2, 2, 0, 2, 3, 3, 1, 3, 2, 4, 4, 0, 3, 4, 0, 1, 2, 4, 2, 4, 4, 4, 3, 0, 0, 4, 4, 0, 1, 2, 3, 0, 2, 2, 4, 0, 3, 1, 2, 4, 2, 0, 4, 2, 1, 4, 3, 2, 2, 2, 4, 4, 0, 3, 4, 4, 1, 2, 0, 3, 0, 2, 2, 2, 2, 0, 3, 3, 3, 2, 1, 2, 2, 0, 1, 0, 2, 3, 2, 1, 0] pubkeycol1417 = [4, 3, 0, 0, 4, 2, 1, 1, 3, 0, 0, 3, 0, 3, 0, 2, 2, 0, 2, 4, 1, 3, 2, 1, 4, 2, 0, 4, 3, 1, 3, 3, 0, 1, 0, 2, 3, 1, 4, 4, 4, 0, 1, 0, 4, 0, 4, 1, 1, 2, 2, 4, 3, 2, 2, 2, 2, 0, 3, 3, 1, 2, 0, 4, 1, 0, 4, 4, 0, 1, 2, 2, 2, 4, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 4, 3, 0, 0, 3, 1, 2, 2, 4, 0, 3, 3, 3, 2, 3, 4, 1, 3, 3, 1, 2, 0, 0, 1, 1, 0, 4, 4, 1, 1, 4, 4, 0, 2, 2, 3, 3, 1, 4, 2, 1, 2, 4, 2, 3, 2, 2, 1, 2, 0, 0, 3, 2, 2, 2, 2, 2, 4, 3, 4, 0, 1, 0, 3, 0, 4, 3, 0, 1, 1, 0, 3, 2, 3, 1, 0, 1, 0, 2, 2, 4, 3, 2, 4, 2, 3, 2, 1, 4, 3, 3, 0, 2, 4, 0, 0, 2, 2, 0, 1, 1, 0, 2, 3, 3, 2, 1, 2, 3, 1, 0, 2, 1, 0, 1, 2, 4, 3, 2, 0, 3, 1, 3, 3, 2, 2, 4, 1, 2, 0, 2, 4, 2, 3, 2, 0, 0, 2, 3, 1, 4, 2, 1, 0, 2, 2, 0, 4, 1, 1, 1, 4, 4, 1, 0, 2, 2, 4, 2, 4, 4, 1, 4, 2, 0, 3, 2, 1, 2, 2, 4, 1, 0, 4, 4, 4, 0, 4, 0, 3, 0, 2, 1, 1, 2, 0, 1, 3, 1, 1, 4, 4, 1, 2, 4, 1, 2, 3, 2, 1, 0, 3, 2, 2, 0, 2, 2, 4, 3, 0, 1, 2, 0, 3, 0, 3, 2, 0, 4, 2, 0, 0, 1, 0, 1, 4, 0, 1, 3, 0, 0, 4, 4, 1, 3, 4, 4, 2, 4, 2, 2, 0, 4, 4, 4, 1, 4, 1, 2, 3, 4, 1, 0, 4, 2, 0, 4, 1, 3, 0, 1, 4, 0, 4, 4, 2, 1, 3, 0, 2, 2, 1, 3, 1, 1, 1, 0, 1, 3, 0, 1, 2, 3, 4, 0, 3, 1, 0, 1, 1, 1, 0, 4, 4, 3, 4, 0, 0, 4, 4, 0, 0, 4, 3, 1, 3, 4, 2, 1, 2, 3, 1, 1, 0, 1, 2, 1, 1, 3, 4, 2, 0, 3, 1, 0, 4, 4, 0, 0, 2, 0, 3, 3, 0, 3, 0, 1, 1, 4, 4, 2, 4, 2, 2, 1, 1, 4, 2, 3, 1, 1, 0, 2, 4, 3, 4, 4, 2, 4, 1, 3, 4, 1, 2, 2, 2, 2, 1, 3, 1, 1, 4, 0, 1, 0, 3, 0, 2, 0, 3, 2, 3, 1, 0, 1, 0, 1, 1, 1, 0, 1, 3, 0, 3, 4, 3] pubkeycol1418 = [1, 2, 2, 3, 1, 2, 3, 2, 0, 2, 2, 0, 4, 0, 2, 2, 0, 2, 1, 2, 1, 3, 2, 3, 3, 0, 2, 2, 1, 4, 4, 3, 3, 4, 1, 2, 2, 1, 2, 4, 2, 0, 4, 2, 3, 1, 0, 3, 3, 3, 4, 2, 3, 3, 2, 1, 0, 2, 4, 3, 3, 2, 2, 0, 2, 1, 2, 3, 2, 4, 2, 3, 2, 2, 0, 2, 3, 4, 4, 4, 1, 1, 0, 1, 2, 2, 2, 1, 4, 2, 3, 1, 3, 3, 1, 3, 3, 1, 1, 2, 1, 3, 3, 2, 0, 0, 1, 3, 4, 1, 4, 4, 1, 2, 4, 4, 1, 3, 4, 2, 4, 3, 2, 0, 3, 3, 0, 1, 4, 4, 3, 4, 2, 0, 2, 0, 2, 1, 4, 3, 4, 1, 1, 3, 3, 3, 1, 4, 3, 4, 2, 4, 2, 2, 1, 0, 2, 4, 1, 0, 3, 4, 0, 0, 3, 3, 2, 0, 3, 4, 2, 3, 0, 2, 3, 4, 0, 3, 3, 0, 2, 1, 0, 3, 4, 4, 4, 4, 1, 2, 3, 4, 1, 2, 0, 1, 3, 2, 0, 1, 3, 4, 3, 2, 3, 2, 1, 0, 4, 2, 1, 0, 3, 1, 1, 0, 0, 0, 0, 1, 3, 2, 1, 4, 0, 4, 0, 0, 4, 3, 3, 4, 4, 2, 4, 0, 0, 1, 4, 0, 2, 0, 0, 3, 2, 4, 1, 4, 1, 3, 2, 1, 0, 2, 2, 1, 1, 4, 2, 3, 0, 3, 0, 0, 1, 2, 3, 0, 3, 1, 3, 0, 0, 0, 3, 3, 3, 3, 2, 0, 2, 3, 4, 0, 1, 3, 1, 3, 0, 3, 0, 0, 0, 2, 3, 2, 4, 1, 1, 0, 4, 3, 2, 2, 2, 2, 3, 4, 1, 2, 0, 2, 0, 2, 2, 3, 4, 2, 4, 0, 1, 0, 4, 1, 4, 1, 0, 4, 4, 4, 4, 1, 2, 3, 4, 1, 1, 1, 1, 2, 4, 0, 2, 1, 2, 0, 3, 3, 0, 0, 3, 2, 3, 3, 4, 0, 2, 1, 1, 3, 2, 3, 3, 3, 0, 0, 0, 3, 4, 4, 3, 3, 2, 3, 4, 1, 0, 3, 1, 2, 2, 0, 3, 4, 4, 2, 2, 0, 2, 2, 3, 0, 4, 2, 1, 2, 2, 2, 3, 2, 1, 0, 1, 3, 4, 1, 2, 1, 1, 3, 2, 4, 2, 3, 4, 4, 3, 0, 0, 3, 1, 0, 4, 1, 4, 3, 2, 4, 2, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 1, 2, 1, 0, 1, 4, 1, 0, 4, 4, 4, 2, 1, 0, 2, 0, 4, 2, 2, 3, 3, 4, 3, 0, 0, 2, 2, 0, 4, 4, 1, 2, 4, 2, 1, 0, 1, 2, 2, 3, 2] pubkeycol1419 = [1, 3, 3, 1, 1, 4, 3, 0, 3, 3, 3, 4, 2, 4, 2, 2, 3, 4, 4, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 0, 4, 4, 4, 2, 3, 3, 1, 3, 0, 4, 1, 4, 3, 0, 4, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 4, 0, 3, 3, 0, 4, 0, 3, 4, 2, 0, 3, 0, 3, 4, 4, 3, 3, 3, 0, 3, 0, 2, 1, 0, 3, 3, 4, 4, 3, 4, 2, 0, 1, 2, 3, 0, 4, 1, 1, 2, 2, 2, 0, 4, 1, 3, 2, 0, 3, 2, 1, 2, 1, 3, 4, 1, 3, 3, 1, 2, 1, 0, 0, 4, 1, 4, 3, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 2, 1, 2, 4, 2, 2, 4, 0, 1, 2, 0, 4, 3, 1, 0, 3, 1, 2, 1, 4, 0, 4, 1, 2, 1, 4, 2, 3, 0, 4, 1, 4, 0, 1, 4, 4, 0, 3, 0, 4, 0, 4, 1, 2, 4, 4, 4, 3, 4, 4, 0, 1, 2, 2, 2, 3, 1, 2, 0, 4, 4, 3, 3, 1, 2, 1, 3, 3, 1, 2, 2, 1, 2, 4, 4, 2, 2, 0, 1, 4, 0, 0, 1, 0, 1, 0, 4, 3, 0, 2, 4, 3, 4, 0, 4, 4, 3, 2, 3, 1, 4, 1, 1, 2, 1, 2, 4, 3, 2, 4, 4, 4, 4, 0, 4, 3, 3, 4, 4, 1, 2, 4, 3, 2, 0, 0, 0, 3, 4, 4, 0, 0, 4, 0, 2, 3, 3, 0, 2, 0, 4, 1, 3, 3, 2, 1, 4, 0, 2, 0, 4, 2, 4, 1, 0, 4, 0, 1, 1, 3, 3, 4, 4, 0, 3, 3, 0, 2, 0, 2, 3, 1, 1, 1, 2, 0, 0, 3, 4, 2, 3, 4, 3, 4, 1, 2, 3, 0, 4, 1, 4, 1, 4, 2, 2, 1, 4, 4, 2, 1, 0, 2, 1, 0, 4, 1, 3, 3, 3, 2, 2, 4, 4, 0, 4, 0, 0, 3, 3, 1, 4, 4, 0, 4, 2, 4, 3, 3, 2, 3, 2, 0, 2, 2, 3, 0, 2, 4, 0, 0, 0, 3, 0, 2, 0, 0, 3, 2, 2, 2, 4, 4, 0, 4, 4, 3, 4, 3, 4, 2, 1, 1, 0, 2, 1, 4, 3, 3, 0, 1, 3, 4, 3, 0, 4, 4, 2, 3, 4, 4, 2, 1, 3, 4, 3, 1, 1, 3, 0, 4, 4, 2, 2, 0, 4, 4, 1, 1, 2, 4, 4, 4, 0, 2, 2, 4, 2, 4, 2, 2, 0, 4, 3, 3, 1, 2, 0, 4, 1, 0, 2, 2, 3, 3, 2, 1, 4, 4, 0, 4, 3, 0, 4, 0, 1, 2, 3, 3, 0, 1, 1, 0] pubkeycol1420 = [3, 4, 2, 4, 1, 0, 4, 0, 2, 0, 0, 4, 2, 3, 4, 3, 1, 0, 0, 3, 2, 0, 2, 3, 3, 3, 3, 1, 4, 0, 0, 2, 3, 4, 2, 1, 0, 0, 1, 1, 4, 4, 0, 4, 0, 3, 3, 0, 3, 4, 1, 0, 2, 0, 4, 4, 1, 3, 4, 2, 0, 2, 4, 3, 0, 3, 3, 1, 1, 1, 2, 1, 4, 3, 3, 4, 3, 3, 0, 1, 4, 4, 2, 1, 4, 4, 3, 4, 2, 4, 2, 1, 4, 1, 2, 4, 4, 4, 0, 1, 4, 4, 3, 3, 1, 0, 1, 1, 4, 0, 2, 2, 3, 2, 4, 4, 3, 3, 4, 2, 0, 1, 0, 0, 0, 0, 3, 2, 1, 0, 3, 2, 3, 1, 4, 2, 2, 1, 0, 3, 0, 3, 2, 1, 2, 4, 1, 1, 1, 1, 1, 4, 3, 4, 2, 1, 4, 1, 4, 2, 1, 0, 4, 2, 1, 3, 2, 4, 0, 1, 4, 0, 1, 1, 2, 0, 3, 4, 3, 4, 0, 2, 1, 4, 2, 0, 1, 2, 3, 4, 4, 4, 3, 0, 0, 1, 3, 1, 3, 2, 1, 4, 3, 1, 3, 0, 4, 4, 0, 2, 2, 4, 4, 4, 3, 1, 0, 0, 1, 2, 0, 0, 2, 3, 0, 1, 1, 2, 3, 2, 4, 3, 4, 0, 4, 3, 3, 0, 0, 1, 0, 1, 1, 1, 4, 1, 4, 2, 3, 2, 1, 2, 2, 3, 0, 0, 4, 4, 2, 0, 0, 3, 1, 3, 0, 1, 1, 3, 2, 0, 1, 0, 0, 3, 1, 4, 4, 0, 4, 2, 4, 2, 1, 1, 2, 1, 1, 1, 4, 1, 0, 4, 0, 1, 0, 0, 4, 3, 4, 1, 4, 1, 2, 1, 0, 3, 0, 0, 4, 1, 3, 2, 1, 2, 4, 2, 3, 1, 3, 1, 0, 2, 1, 3, 3, 0, 0, 2, 1, 0, 2, 0, 3, 0, 4, 4, 3, 2, 4, 1, 4, 4, 1, 1, 2, 4, 2, 2, 3, 3, 2, 0, 0, 1, 3, 4, 2, 1, 3, 2, 4, 3, 0, 2, 2, 3, 4, 4, 1, 4, 2, 0, 3, 1, 1, 1, 0, 1, 0, 2, 4, 3, 0, 0, 3, 1, 4, 0, 0, 0, 1, 3, 0, 1, 4, 0, 3, 4, 1, 4, 3, 2, 2, 2, 1, 2, 2, 1, 3, 1, 2, 2, 4, 4, 4, 1, 0, 2, 3, 4, 2, 2, 0, 4, 4, 2, 3, 0, 0, 0, 3, 0, 0, 3, 4, 0, 0, 4, 0, 3, 1, 4, 0, 4, 3, 1, 4, 2, 1, 4, 3, 1, 0, 2, 1, 4, 1, 0, 4, 2, 2, 3, 3, 4, 3, 1, 1, 0, 3, 3, 3, 1, 3, 1, 0, 4, 2, 4, 4, 0] pubkeycol1421 = [1, 3, 3, 1, 0, 2, 1, 2, 4, 3, 4, 2, 3, 0, 4, 4, 2, 0, 2, 0, 0, 1, 2, 0, 2, 3, 3, 2, 3, 1, 2, 3, 1, 4, 1, 3, 0, 0, 4, 1, 4, 1, 2, 3, 0, 1, 2, 0, 2, 1, 3, 3, 3, 4, 1, 1, 3, 2, 2, 0, 2, 4, 4, 4, 0, 0, 0, 4, 4, 3, 3, 4, 2, 3, 1, 1, 3, 4, 3, 4, 4, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 4, 1, 0, 1, 1, 0, 2, 3, 0, 3, 4, 2, 0, 1, 1, 2, 4, 2, 3, 3, 0, 0, 2, 1, 1, 4, 0, 1, 2, 1, 2, 0, 1, 0, 4, 3, 1, 1, 0, 1, 2, 0, 0, 4, 2, 4, 4, 2, 0, 3, 2, 0, 0, 0, 2, 2, 0, 3, 3, 2, 1, 2, 1, 1, 2, 1, 1, 3, 1, 4, 2, 1, 2, 0, 4, 3, 0, 3, 3, 0, 4, 2, 1, 0, 3, 4, 2, 4, 0, 3, 1, 4, 4, 4, 1, 4, 1, 3, 2, 2, 4, 4, 0, 3, 4, 0, 0, 1, 3, 1, 0, 1, 4, 1, 0, 0, 4, 1, 4, 2, 1, 0, 0, 2, 3, 4, 3, 2, 3, 3, 0, 1, 4, 1, 2, 0, 2, 4, 4, 2, 3, 3, 2, 1, 0, 2, 4, 1, 0, 0, 2, 3, 2, 0, 4, 0, 1, 0, 1, 4, 3, 3, 1, 2, 0, 1, 3, 0, 1, 2, 2, 4, 1, 0, 1, 2, 3, 3, 0, 3, 1, 4, 1, 1, 0, 3, 1, 0, 1, 2, 3, 3, 4, 2, 2, 1, 1, 1, 1, 3, 4, 1, 1, 4, 0, 0, 2, 1, 1, 2, 1, 4, 1, 2, 2, 2, 4, 4, 1, 0, 2, 3, 0, 2, 2, 0, 0, 0, 2, 1, 3, 4, 1, 4, 4, 0, 1, 0, 0, 2, 4, 2, 3, 1, 1, 0, 0, 0, 0, 3, 1, 4, 3, 1, 2, 3, 2, 3, 3, 1, 0, 0, 3, 3, 1, 1, 0, 3, 1, 2, 0, 0, 4, 1, 4, 4, 4, 0, 2, 3, 0, 0, 1, 0, 0, 3, 0, 2, 1, 3, 0, 3, 4, 2, 2, 0, 2, 2, 0, 2, 0, 3, 2, 4, 1, 3, 1, 3, 3, 0, 2, 0, 3, 3, 3, 2, 4, 2, 1, 2, 3, 3, 3, 0, 1, 2, 1, 3, 1, 1, 2, 0, 1, 3, 2, 0, 3, 0, 3, 4, 1, 1, 3, 0, 3, 0, 0, 2, 2, 0, 3, 1, 1, 2, 3, 3, 1, 1, 2, 0, 4, 2, 2, 2, 3, 0, 4, 0, 1, 1, 3, 1, 0, 1, 1, 0, 3, 2, 0, 2, 4, 2, 1, 3, 3, 1] pubkeycol1422 = [2, 2, 2, 4, 1, 1, 3, 1, 1, 4, 1, 3, 0, 2, 1, 3, 1, 3, 1, 0, 3, 2, 4, 4, 4, 2, 4, 3, 1, 2, 1, 2, 2, 4, 4, 3, 3, 4, 0, 3, 4, 2, 4, 3, 0, 0, 2, 0, 3, 4, 0, 1, 1, 4, 2, 2, 3, 4, 4, 3, 1, 4, 3, 4, 4, 3, 4, 2, 1, 3, 4, 0, 1, 3, 1, 0, 2, 4, 2, 0, 4, 2, 3, 0, 0, 3, 2, 0, 1, 3, 1, 0, 0, 1, 2, 1, 3, 3, 0, 4, 3, 2, 0, 3, 3, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 4, 2, 4, 0, 4, 2, 0, 0, 1, 3, 1, 3, 2, 3, 0, 3, 1, 0, 4, 0, 1, 4, 4, 0, 4, 3, 3, 3, 0, 1, 4, 1, 3, 1, 2, 4, 1, 1, 1, 2, 1, 4, 2, 0, 3, 2, 1, 4, 4, 2, 1, 0, 0, 4, 2, 2, 2, 3, 3, 1, 1, 0, 4, 0, 4, 1, 3, 3, 2, 1, 0, 2, 0, 1, 0, 2, 4, 1, 0, 0, 0, 0, 4, 4, 2, 3, 3, 4, 2, 2, 4, 0, 1, 1, 1, 3, 4, 3, 2, 4, 4, 0, 1, 3, 1, 1, 1, 4, 2, 1, 1, 0, 2, 2, 3, 0, 1, 1, 4, 2, 0, 1, 2, 0, 1, 2, 1, 0, 4, 2, 4, 0, 4, 2, 1, 1, 3, 3, 0, 2, 0, 2, 4, 4, 2, 4, 4, 0, 4, 2, 1, 3, 2, 3, 1, 4, 1, 0, 0, 0, 0, 1, 4, 0, 1, 2, 1, 4, 4, 4, 1, 4, 3, 0, 0, 1, 1, 3, 0, 0, 2, 0, 3, 2, 2, 2, 1, 0, 4, 1, 3, 0, 2, 4, 1, 2, 1, 1, 3, 0, 1, 3, 2, 3, 2, 1, 3, 3, 0, 3, 0, 0, 0, 2, 3, 3, 3, 0, 1, 4, 3, 3, 1, 2, 0, 2, 3, 4, 2, 2, 0, 1, 2, 0, 2, 4, 1, 2, 2, 0, 1, 1, 1, 4, 3, 2, 2, 4, 4, 4, 3, 1, 3, 4, 2, 2, 3, 3, 1, 4, 2, 3, 4, 0, 2, 0, 0, 1, 3, 1, 2, 1, 4, 0, 0, 0, 4, 1, 4, 2, 3, 4, 3, 2, 1, 3, 2, 3, 4, 3, 3, 1, 4, 1, 0, 0, 1, 4, 3, 3, 3, 0, 4, 4, 4, 3, 3, 1, 3, 0, 0, 4, 4, 1, 3, 4, 0, 2, 1, 3, 0, 3, 1, 0, 4, 3, 1, 2, 2, 4, 3, 2, 0, 4, 0, 0, 2, 0, 1, 0, 2, 0, 3, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 4, 4, 3, 1, 2, 2, 0, 2, 2, 4, 0] pubkeycol1423 = [3, 4, 0, 3, 4, 3, 1, 0, 1, 4, 3, 3, 2, 2, 0, 1, 3, 3, 1, 2, 4, 3, 3, 4, 2, 3, 2, 1, 1, 3, 1, 3, 2, 0, 2, 2, 0, 1, 0, 1, 1, 4, 1, 1, 0, 0, 1, 2, 1, 3, 2, 1, 1, 2, 4, 2, 4, 3, 1, 3, 3, 2, 2, 1, 2, 3, 1, 4, 4, 0, 1, 1, 4, 3, 3, 1, 1, 0, 2, 1, 4, 0, 4, 4, 2, 0, 4, 1, 0, 1, 2, 4, 1, 3, 1, 2, 0, 3, 1, 3, 0, 2, 0, 2, 1, 0, 0, 4, 2, 0, 1, 4, 3, 2, 4, 4, 4, 2, 2, 4, 3, 1, 1, 4, 2, 3, 1, 4, 2, 4, 3, 0, 3, 0, 0, 1, 1, 3, 4, 3, 1, 2, 2, 0, 3, 2, 3, 1, 3, 0, 3, 4, 1, 1, 0, 0, 0, 4, 4, 2, 2, 1, 3, 0, 4, 4, 4, 4, 3, 1, 3, 3, 0, 0, 2, 3, 2, 2, 2, 0, 2, 4, 4, 0, 0, 4, 2, 3, 3, 1, 2, 1, 3, 3, 2, 4, 3, 0, 4, 0, 1, 2, 1, 4, 2, 4, 2, 1, 4, 1, 3, 2, 0, 2, 1, 0, 3, 4, 2, 2, 1, 2, 3, 4, 1, 2, 1, 4, 0, 3, 2, 3, 3, 4, 3, 1, 2, 3, 4, 3, 4, 3, 1, 3, 0, 2, 3, 0, 3, 3, 1, 0, 4, 2, 1, 0, 2, 0, 1, 3, 4, 1, 2, 2, 0, 1, 4, 0, 1, 1, 3, 0, 3, 3, 1, 1, 1, 4, 1, 1, 0, 0, 3, 2, 2, 3, 0, 2, 2, 3, 0, 4, 2, 2, 3, 4, 2, 2, 0, 3, 2, 3, 1, 2, 1, 0, 3, 1, 3, 3, 4, 3, 0, 0, 1, 3, 2, 0, 3, 4, 2, 4, 0, 3, 0, 4, 4, 1, 0, 1, 0, 3, 0, 1, 1, 2, 0, 0, 0, 3, 1, 4, 2, 0, 4, 0, 1, 0, 0, 2, 4, 1, 1, 2, 0, 4, 3, 2, 1, 2, 2, 4, 2, 2, 2, 2, 3, 1, 3, 3, 0, 3, 1, 1, 3, 0, 1, 1, 2, 4, 1, 2, 2, 3, 1, 1, 0, 2, 1, 3, 1, 4, 0, 0, 0, 1, 2, 2, 1, 1, 4, 3, 0, 2, 4, 1, 4, 3, 3, 2, 4, 3, 1, 1, 0, 1, 1, 3, 0, 1, 2, 0, 0, 3, 3, 1, 2, 3, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 3, 0, 1, 3, 1, 1, 3, 2, 0, 2, 3, 0, 4, 3, 4, 1, 0, 1, 0, 2, 4, 1, 0, 1, 1, 0, 2, 3, 3, 0, 2, 2, 1, 4, 1, 2, 3, 0, 4] pubkeycol1424 = [1, 2, 3, 0, 1, 3, 0, 1, 2, 2, 2, 0, 0, 2, 1, 3, 1, 4, 1, 0, 4, 1, 3, 1, 4, 2, 2, 2, 0, 4, 4, 0, 3, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 3, 2, 1, 2, 1, 4, 4, 2, 1, 0, 0, 0, 0, 4, 0, 0, 1, 2, 1, 0, 3, 1, 0, 4, 0, 0, 1, 2, 4, 4, 0, 1, 3, 3, 3, 0, 1, 4, 2, 1, 4, 4, 2, 0, 1, 3, 2, 4, 3, 1, 0, 4, 0, 4, 1, 1, 4, 2, 4, 4, 3, 3, 4, 4, 2, 1, 0, 1, 2, 0, 4, 1, 2, 4, 1, 4, 4, 4, 3, 2, 2, 4, 0, 1, 0, 2, 1, 4, 0, 4, 0, 3, 4, 0, 2, 0, 3, 2, 0, 3, 2, 3, 0, 2, 2, 4, 2, 3, 1, 1, 2, 1, 4, 3, 0, 2, 1, 2, 0, 0, 1, 3, 0, 1, 0, 3, 2, 2, 3, 1, 1, 4, 1, 0, 4, 1, 4, 2, 3, 3, 0, 2, 1, 0, 2, 4, 3, 4, 1, 4, 2, 3, 1, 4, 3, 4, 2, 2, 4, 4, 4, 4, 4, 1, 2, 2, 2, 1, 3, 4, 1, 0, 2, 0, 4, 4, 3, 3, 0, 1, 0, 3, 2, 1, 3, 4, 0, 4, 2, 4, 4, 1, 0, 2, 0, 2, 1, 0, 0, 3, 3, 4, 3, 0, 0, 4, 0, 1, 0, 0, 4, 0, 2, 0, 4, 2, 3, 1, 3, 3, 0, 3, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 4, 3, 3, 4, 1, 3, 3, 3, 2, 4, 1, 2, 0, 0, 4, 1, 0, 1, 2, 4, 4, 2, 2, 1, 0, 3, 0, 3, 1, 3, 4, 4, 3, 3, 2, 4, 1, 0, 4, 4, 3, 2, 2, 0, 3, 2, 3, 1, 4, 1, 2, 3, 1, 4, 2, 3, 4, 4, 1, 0, 3, 4, 4, 3, 1, 2, 4, 3, 4, 3, 2, 0, 0, 1, 1, 3, 2, 3, 2, 1, 4, 4, 1, 3, 4, 2, 4, 3, 1, 2, 0, 4, 3, 0, 4, 3, 0, 1, 3, 3, 2, 4, 4, 2, 0, 2, 3, 3, 2, 2, 3, 2, 1, 3, 0, 3, 2, 1, 1, 4, 2, 2, 3, 0, 1, 4, 4, 2, 3, 3, 2, 2, 1, 2, 4, 1, 1, 2, 3, 4, 2, 4, 2, 2, 2, 2, 4, 1, 0, 0, 4, 1, 1, 0, 3, 3, 0, 3, 2, 2, 1, 3, 2, 1, 4, 2, 4, 0, 2, 4, 3, 4, 0, 4, 3, 3, 0, 0, 4, 2, 3, 2, 4, 1, 4, 1, 3, 2, 2, 2, 1, 4, 0, 0, 0, 2, 3, 0, 1, 3, 1, 2, 4, 1, 2] pubkeycol1425 = [4, 4, 3, 1, 1, 3, 1, 0, 4, 4, 1, 4, 1, 4, 2, 3, 0, 4, 3, 4, 3, 1, 4, 3, 3, 1, 4, 4, 4, 3, 2, 0, 1, 3, 4, 2, 2, 1, 3, 1, 1, 3, 0, 3, 3, 0, 4, 0, 0, 1, 1, 3, 4, 2, 3, 3, 4, 0, 1, 0, 2, 0, 3, 2, 3, 3, 1, 0, 1, 1, 4, 3, 4, 3, 0, 1, 2, 3, 4, 3, 3, 0, 1, 1, 4, 1, 2, 4, 2, 4, 2, 0, 3, 4, 3, 3, 2, 1, 2, 0, 2, 4, 2, 0, 0, 2, 2, 2, 0, 3, 2, 3, 4, 4, 2, 3, 3, 3, 4, 4, 4, 2, 0, 2, 4, 0, 1, 0, 2, 3, 0, 1, 0, 4, 3, 1, 1, 1, 0, 3, 0, 2, 3, 0, 4, 1, 4, 1, 4, 3, 4, 4, 0, 1, 2, 4, 4, 3, 3, 0, 2, 2, 2, 1, 4, 4, 4, 3, 2, 2, 3, 0, 1, 1, 1, 3, 3, 4, 0, 0, 0, 4, 2, 1, 3, 4, 0, 2, 1, 3, 1, 2, 1, 2, 4, 4, 1, 0, 1, 4, 3, 3, 1, 4, 2, 3, 4, 0, 0, 2, 1, 0, 2, 3, 1, 4, 0, 2, 0, 2, 0, 4, 4, 3, 4, 1, 4, 4, 1, 4, 3, 1, 2, 2, 1, 4, 3, 4, 0, 3, 4, 0, 3, 4, 2, 2, 1, 2, 2, 4, 3, 0, 1, 1, 3, 2, 0, 3, 2, 1, 1, 4, 3, 0, 4, 2, 0, 1, 2, 3, 4, 2, 0, 3, 0, 1, 4, 0, 4, 4, 0, 0, 3, 1, 1, 2, 1, 2, 3, 4, 1, 4, 2, 1, 3, 0, 2, 1, 3, 3, 0, 0, 3, 2, 2, 4, 1, 2, 2, 4, 4, 1, 1, 1, 4, 1, 2, 1, 1, 3, 1, 2, 3, 3, 0, 1, 0, 3, 1, 0, 2, 3, 2, 4, 2, 4, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 3, 4, 4, 2, 3, 2, 1, 1, 0, 0, 0, 4, 2, 2, 2, 4, 0, 4, 0, 1, 0, 0, 1, 1, 3, 1, 1, 2, 1, 4, 0, 3, 3, 1, 2, 1, 0, 2, 0, 0, 1, 4, 4, 2, 1, 0, 0, 0, 0, 4, 2, 0, 3, 0, 0, 3, 0, 2, 2, 4, 2, 0, 2, 1, 1, 4, 3, 2, 0, 4, 3, 1, 2, 0, 1, 4, 2, 4, 4, 0, 2, 0, 3, 3, 4, 3, 2, 1, 3, 1, 1, 4, 3, 3, 1, 4, 0, 2, 3, 2, 1, 2, 3, 2, 4, 3, 2, 0, 3, 2, 4, 3, 3, 1, 3, 0, 0, 3, 4, 3, 3, 2, 4, 3, 0, 1, 3, 3, 2, 3] pubkeycol1426 = [1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 4, 3, 4, 4, 1, 3, 2, 0, 0, 2, 1, 4, 2, 3, 2, 3, 3, 4, 0, 1, 0, 2, 4, 1, 3, 0, 0, 4, 4, 0, 3, 4, 1, 0, 1, 3, 4, 4, 2, 1, 0, 1, 0, 3, 0, 2, 0, 0, 0, 1, 4, 3, 1, 0, 0, 2, 4, 2, 2, 2, 1, 1, 4, 0, 3, 0, 4, 3, 1, 3, 0, 3, 3, 2, 0, 3, 3, 2, 2, 1, 4, 2, 3, 1, 4, 3, 3, 3, 2, 3, 2, 3, 1, 0, 4, 2, 1, 4, 3, 0, 2, 3, 2, 2, 4, 2, 1, 1, 2, 4, 3, 2, 3, 3, 0, 2, 2, 3, 0, 3, 3, 0, 1, 4, 2, 0, 2, 0, 2, 0, 1, 4, 2, 2, 2, 4, 1, 1, 1, 2, 1, 4, 0, 2, 4, 4, 1, 4, 1, 4, 4, 3, 1, 2, 1, 0, 0, 0, 0, 0, 4, 0, 2, 1, 4, 1, 4, 2, 4, 0, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 3, 1, 3, 0, 1, 1, 2, 2, 1, 4, 1, 0, 3, 2, 0, 3, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 2, 2, 2, 3, 0, 1, 3, 4, 0, 4, 1, 4, 0, 0, 3, 4, 3, 0, 2, 3, 0, 3, 3, 1, 3, 4, 3, 0, 1, 3, 0, 2, 4, 1, 2, 0, 3, 0, 4, 2, 4, 1, 0, 4, 0, 1, 3, 4, 2, 4, 4, 1, 4, 2, 4, 2, 0, 4, 4, 4, 3, 1, 1, 3, 4, 0, 3, 1, 4, 2, 2, 4, 4, 4, 1, 3, 3, 3, 1, 3, 1, 2, 3, 3, 3, 2, 0, 0, 2, 3, 4, 3, 4, 0, 4, 4, 3, 0, 2, 0, 3, 0, 1, 4, 1, 4, 0, 4, 4, 3, 3, 4, 1, 2, 2, 2, 4, 1, 3, 4, 0, 3, 2, 1, 1, 0, 3, 2, 4, 0, 4, 4, 0, 3, 1, 4, 0, 3, 0, 0, 1, 3, 0, 4, 1, 0, 2, 1, 0, 0, 3, 1, 3, 3, 4, 0, 1, 3, 2, 4, 4, 0, 3, 2, 0, 1, 3, 1, 1, 1, 0, 0, 1, 0, 3, 0, 1, 4, 1, 3, 0, 4, 1, 2, 1, 0, 3, 0, 2, 0, 0, 1, 4, 4, 4, 2, 1, 0, 0, 4, 3, 4, 0, 1, 1, 0, 0, 2, 0, 2, 3, 2, 0, 2, 0, 2, 3, 0, 1, 0, 3, 2, 1, 2, 4, 1, 0, 2, 0, 1, 0, 2, 3, 1, 2, 2, 2, 3, 1, 0, 4, 4, 4, 0, 3, 0, 3, 2, 4, 4, 2, 1, 3, 2, 3, 1, 3, 3, 2, 1, 4] pubkeycol1427 = [0, 0, 1, 0, 0, 2, 4, 0, 2, 2, 0, 1, 2, 0, 0, 0, 3, 1, 3, 4, 1, 3, 0, 2, 2, 2, 3, 2, 4, 3, 0, 4, 4, 1, 1, 0, 2, 4, 1, 1, 1, 4, 4, 1, 1, 2, 4, 1, 0, 2, 1, 4, 3, 3, 3, 3, 4, 4, 1, 1, 2, 1, 1, 2, 4, 3, 0, 4, 0, 4, 1, 0, 2, 3, 4, 4, 4, 1, 1, 0, 2, 4, 2, 1, 2, 2, 3, 2, 0, 3, 0, 1, 2, 1, 0, 3, 1, 4, 4, 0, 3, 2, 0, 1, 2, 0, 1, 0, 4, 3, 1, 1, 3, 3, 2, 4, 3, 3, 3, 1, 1, 2, 0, 3, 1, 4, 4, 2, 3, 1, 2, 1, 4, 2, 4, 2, 2, 0, 1, 1, 0, 1, 0, 1, 3, 4, 0, 0, 4, 2, 4, 4, 0, 4, 4, 2, 0, 4, 4, 1, 2, 4, 0, 3, 4, 0, 4, 1, 3, 3, 2, 2, 3, 3, 1, 3, 0, 2, 2, 0, 1, 3, 3, 2, 4, 2, 4, 4, 0, 4, 2, 4, 2, 4, 3, 0, 2, 2, 3, 2, 2, 3, 4, 1, 1, 2, 0, 2, 3, 2, 1, 4, 1, 1, 3, 1, 1, 4, 0, 0, 1, 4, 1, 1, 3, 4, 3, 1, 4, 2, 4, 0, 4, 2, 2, 3, 1, 3, 1, 2, 2, 0, 0, 1, 4, 3, 0, 0, 3, 4, 2, 1, 3, 3, 3, 1, 3, 0, 3, 1, 4, 3, 3, 1, 3, 1, 0, 4, 1, 0, 3, 1, 3, 4, 0, 3, 0, 3, 3, 1, 3, 4, 3, 0, 2, 1, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 3, 1, 0, 3, 1, 4, 4, 2, 1, 4, 4, 2, 3, 2, 4, 2, 4, 3, 4, 0, 3, 1, 4, 1, 2, 1, 4, 3, 3, 3, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 4, 2, 1, 3, 4, 4, 3, 2, 0, 1, 1, 0, 3, 0, 2, 4, 3, 4, 1, 2, 2, 1, 4, 0, 4, 0, 1, 1, 3, 1, 4, 0, 2, 1, 4, 3, 4, 0, 3, 4, 2, 4, 0, 2, 0, 0, 1, 3, 4, 3, 2, 1, 0, 0, 4, 2, 2, 3, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 4, 4, 2, 2, 4, 2, 0, 1, 4, 1, 4, 0, 1, 1, 2, 0, 2, 3, 3, 1, 2, 1, 0, 4, 2, 3, 3, 4, 2, 2, 2, 0, 1, 4, 1, 1, 4, 1, 0, 3, 4, 0, 4, 3, 1, 2, 2, 4, 3, 1, 3, 2, 4, 3, 2, 0, 2, 4, 1, 3, 1, 2, 3, 2, 2, 4, 2, 2, 4, 3, 0, 1, 0, 1, 2] pubkeycol1428 = [2, 1, 2, 1, 0, 4, 1, 3, 4, 4, 3, 0, 1, 1, 4, 4, 2, 4, 3, 2, 1, 1, 1, 2, 3, 1, 3, 4, 4, 2, 2, 3, 2, 3, 4, 4, 2, 4, 1, 0, 0, 2, 0, 3, 2, 4, 3, 1, 1, 4, 2, 4, 1, 1, 2, 0, 1, 0, 2, 2, 4, 0, 0, 3, 2, 0, 1, 3, 1, 0, 1, 1, 0, 2, 0, 4, 1, 3, 3, 4, 4, 0, 4, 4, 0, 4, 4, 2, 3, 2, 0, 1, 0, 0, 4, 1, 1, 3, 4, 0, 4, 4, 4, 2, 4, 0, 0, 2, 3, 4, 4, 2, 2, 2, 1, 4, 4, 2, 0, 3, 1, 4, 4, 3, 0, 1, 1, 1, 4, 1, 2, 3, 1, 4, 3, 4, 4, 0, 3, 4, 2, 0, 2, 1, 3, 3, 3, 0, 3, 1, 3, 3, 3, 3, 0, 4, 3, 3, 4, 1, 3, 2, 4, 4, 0, 2, 0, 1, 3, 4, 2, 2, 1, 0, 4, 1, 4, 0, 4, 2, 4, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 3, 0, 0, 2, 4, 2, 0, 4, 1, 2, 3, 4, 2, 0, 1, 3, 1, 1, 2, 0, 0, 1, 1, 1, 1, 3, 4, 3, 2, 0, 4, 1, 3, 3, 4, 4, 4, 3, 0, 2, 0, 1, 1, 0, 4, 1, 2, 2, 4, 2, 1, 4, 3, 1, 2, 4, 3, 2, 1, 2, 0, 2, 1, 3, 2, 2, 2, 2, 0, 2, 4, 4, 0, 1, 4, 4, 4, 2, 4, 1, 3, 4, 3, 3, 0, 0, 1, 1, 0, 4, 0, 4, 4, 0, 4, 2, 0, 4, 4, 2, 3, 4, 1, 3, 3, 4, 2, 0, 4, 4, 1, 0, 4, 4, 4, 1, 4, 4, 4, 1, 3, 3, 3, 3, 1, 4, 0, 1, 1, 3, 0, 2, 1, 3, 4, 2, 2, 0, 4, 3, 3, 4, 3, 0, 2, 2, 2, 3, 4, 2, 4, 1, 0, 2, 0, 4, 3, 3, 1, 4, 3, 2, 1, 2, 3, 3, 0, 0, 3, 2, 4, 1, 2, 2, 2, 0, 2, 4, 4, 4, 1, 0, 3, 2, 1, 0, 4, 0, 2, 0, 0, 2, 3, 4, 3, 3, 2, 1, 1, 0, 0, 4, 4, 2, 4, 2, 1, 3, 4, 2, 3, 3, 4, 4, 1, 2, 2, 1, 2, 3, 3, 4, 0, 4, 0, 3, 1, 2, 1, 1, 0, 4, 0, 2, 0, 1, 4, 1, 0, 1, 1, 2, 2, 1, 3, 3, 2, 0, 0, 0, 2, 0, 0, 4, 3, 2, 0, 1, 3, 4, 2, 1, 4, 0, 2, 2, 2, 0, 4, 2, 0, 3, 3, 3, 4, 2, 4, 3, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol1429 = [1, 1, 3, 2, 2, 1, 4, 0, 3, 1, 1, 0, 3, 2, 4, 0, 1, 4, 2, 1, 0, 0, 2, 3, 2, 4, 2, 1, 2, 2, 3, 2, 1, 4, 1, 2, 1, 2, 2, 0, 3, 1, 3, 0, 2, 2, 3, 3, 0, 2, 1, 2, 3, 1, 2, 3, 2, 1, 1, 3, 2, 3, 0, 0, 1, 4, 3, 3, 3, 3, 1, 2, 0, 2, 1, 2, 1, 3, 3, 0, 3, 4, 1, 3, 3, 4, 2, 0, 2, 3, 3, 4, 4, 4, 1, 0, 3, 1, 1, 4, 3, 1, 3, 3, 3, 2, 2, 4, 3, 3, 4, 2, 3, 0, 0, 0, 4, 4, 1, 3, 1, 1, 2, 3, 1, 0, 0, 1, 3, 0, 3, 1, 3, 3, 3, 2, 2, 1, 4, 3, 1, 4, 2, 1, 4, 0, 3, 4, 0, 4, 4, 1, 2, 3, 3, 2, 1, 0, 2, 3, 4, 4, 1, 3, 3, 0, 0, 0, 3, 1, 3, 2, 2, 0, 4, 2, 3, 0, 1, 3, 0, 0, 0, 2, 3, 0, 0, 3, 0, 3, 2, 0, 1, 2, 0, 4, 2, 1, 2, 4, 3, 2, 4, 2, 2, 3, 3, 3, 4, 0, 2, 1, 2, 3, 1, 0, 2, 0, 1, 1, 3, 2, 1, 3, 0, 0, 3, 2, 2, 3, 0, 4, 0, 2, 3, 0, 3, 2, 0, 3, 2, 0, 1, 4, 4, 3, 3, 3, 4, 0, 1, 2, 1, 2, 2, 3, 2, 4, 1, 2, 4, 1, 3, 0, 2, 4, 4, 4, 4, 4, 0, 2, 3, 1, 4, 0, 0, 2, 3, 1, 1, 4, 1, 4, 0, 0, 4, 1, 2, 0, 0, 0, 1, 0, 0, 3, 2, 1, 0, 1, 1, 3, 1, 3, 2, 2, 0, 4, 2, 3, 4, 2, 4, 3, 2, 4, 2, 1, 0, 0, 4, 0, 4, 3, 0, 2, 4, 1, 3, 3, 3, 3, 1, 4, 0, 3, 4, 2, 2, 3, 4, 3, 0, 4, 3, 4, 2, 3, 0, 1, 0, 2, 0, 1, 3, 0, 1, 4, 2, 2, 4, 3, 2, 2, 2, 1, 3, 3, 2, 2, 1, 0, 3, 0, 4, 1, 2, 4, 2, 3, 2, 4, 2, 3, 4, 1, 0, 0, 1, 4, 4, 0, 2, 1, 0, 3, 4, 2, 4, 3, 4, 3, 0, 4, 0, 0, 1, 4, 4, 3, 2, 4, 4, 0, 3, 4, 2, 0, 1, 4, 0, 4, 1, 0, 3, 1, 2, 3, 3, 3, 4, 2, 1, 2, 4, 2, 0, 4, 1, 0, 3, 3, 2, 0, 3, 1, 3, 4, 2, 4, 4, 4, 3, 3, 3, 0, 0, 4, 3, 1, 0, 3, 0, 3, 4, 4, 0, 1, 2, 4, 4, 0, 2, 1, 1, 3, 1, 0, 2, 2] pubkeycol1430 = [3, 4, 1, 4, 0, 4, 1, 4, 3, 0, 0, 4, 2, 1, 1, 4, 1, 2, 2, 0, 3, 1, 2, 0, 3, 1, 4, 0, 4, 0, 4, 0, 0, 2, 4, 4, 4, 0, 1, 2, 3, 3, 2, 2, 3, 1, 0, 2, 3, 2, 0, 3, 3, 2, 4, 1, 2, 1, 4, 4, 1, 0, 4, 4, 0, 3, 1, 4, 3, 3, 0, 4, 3, 2, 4, 0, 1, 2, 4, 4, 4, 4, 0, 1, 3, 1, 2, 4, 1, 0, 3, 2, 1, 2, 1, 4, 4, 1, 3, 4, 1, 3, 3, 2, 2, 0, 2, 2, 3, 2, 3, 0, 0, 1, 4, 2, 2, 4, 3, 1, 3, 0, 1, 2, 1, 4, 2, 1, 1, 4, 1, 4, 1, 4, 4, 0, 2, 0, 4, 3, 2, 0, 4, 0, 2, 4, 3, 2, 3, 0, 0, 0, 3, 4, 2, 2, 2, 0, 3, 4, 3, 0, 0, 3, 1, 1, 2, 1, 3, 1, 4, 1, 1, 3, 2, 3, 3, 2, 3, 0, 4, 3, 4, 0, 3, 4, 4, 1, 3, 1, 4, 0, 1, 4, 3, 2, 3, 2, 1, 2, 4, 3, 1, 2, 1, 2, 4, 1, 4, 0, 4, 0, 0, 4, 2, 1, 0, 2, 3, 4, 4, 0, 0, 3, 4, 4, 4, 2, 2, 2, 4, 4, 3, 4, 2, 4, 3, 3, 1, 1, 3, 2, 3, 4, 4, 4, 1, 4, 2, 3, 0, 4, 4, 3, 4, 1, 2, 4, 4, 0, 3, 3, 3, 1, 0, 3, 0, 3, 3, 2, 2, 1, 1, 2, 4, 3, 0, 4, 2, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 4, 1, 3, 0, 1, 4, 1, 2, 3, 3, 1, 1, 2, 4, 0, 4, 3, 2, 3, 1, 2, 2, 3, 3, 1, 4, 3, 3, 4, 0, 2, 1, 0, 1, 3, 4, 2, 4, 2, 1, 0, 0, 4, 3, 1, 4, 0, 2, 2, 0, 2, 3, 0, 0, 3, 1, 1, 0, 3, 3, 0, 0, 4, 4, 1, 0, 0, 2, 2, 2, 3, 1, 0, 3, 3, 0, 4, 0, 2, 0, 0, 3, 1, 2, 2, 1, 3, 2, 4, 3, 3, 2, 3, 3, 2, 4, 4, 0, 4, 2, 0, 1, 1, 2, 1, 4, 0, 3, 3, 1, 3, 3, 4, 4, 0, 2, 1, 3, 3, 4, 1, 3, 2, 1, 4, 3, 4, 1, 0, 4, 3, 3, 2, 0, 1, 4, 2, 3, 0, 4, 0, 3, 1, 4, 3, 4, 3, 4, 1, 1, 4, 0, 2, 3, 4, 2, 1, 3, 0, 0, 0, 2, 1, 3, 2, 3, 4, 3, 2, 0, 0, 0, 2, 3, 0, 0, 0, 1, 1, 0, 3, 4, 0, 1, 2, 1, 3, 4, 1, 1] pubkeycol1431 = [3, 2, 3, 4, 1, 0, 1, 3, 1, 4, 4, 2, 2, 4, 1, 1, 2, 0, 3, 4, 2, 2, 1, 1, 1, 0, 1, 1, 4, 2, 1, 3, 2, 2, 2, 1, 4, 2, 1, 4, 4, 2, 3, 1, 0, 0, 2, 0, 4, 4, 3, 0, 2, 2, 0, 1, 0, 3, 0, 2, 2, 1, 4, 0, 4, 4, 0, 3, 4, 0, 1, 1, 3, 4, 3, 3, 3, 3, 0, 3, 0, 3, 4, 0, 1, 3, 2, 0, 0, 3, 1, 3, 3, 2, 0, 2, 0, 4, 1, 4, 0, 0, 3, 3, 2, 3, 0, 3, 4, 0, 3, 0, 2, 0, 3, 4, 3, 0, 3, 1, 0, 1, 1, 0, 1, 1, 1, 0, 4, 0, 2, 1, 4, 2, 2, 2, 3, 1, 3, 2, 4, 2, 4, 1, 1, 2, 3, 2, 4, 1, 4, 4, 0, 4, 3, 1, 1, 4, 3, 1, 0, 0, 0, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 0, 3, 0, 3, 3, 4, 2, 4, 1, 3, 2, 3, 2, 2, 0, 0, 0, 2, 1, 0, 4, 4, 2, 2, 1, 3, 3, 1, 3, 2, 3, 1, 3, 0, 0, 0, 1, 1, 3, 2, 3, 0, 4, 2, 1, 0, 4, 0, 3, 3, 2, 0, 0, 4, 4, 3, 4, 4, 4, 0, 0, 3, 1, 0, 1, 2, 2, 3, 4, 1, 3, 3, 3, 3, 2, 3, 2, 2, 0, 0, 1, 1, 3, 3, 1, 2, 3, 4, 3, 3, 2, 0, 2, 4, 3, 1, 1, 2, 3, 1, 4, 2, 2, 0, 0, 3, 4, 4, 2, 2, 2, 1, 4, 3, 4, 0, 1, 4, 3, 3, 3, 2, 2, 3, 0, 2, 1, 0, 1, 1, 0, 4, 3, 4, 0, 3, 3, 1, 2, 1, 4, 4, 1, 2, 3, 1, 4, 3, 1, 1, 2, 4, 2, 2, 4, 3, 3, 3, 4, 1, 0, 2, 3, 0, 1, 0, 4, 2, 3, 0, 3, 1, 3, 1, 3, 3, 3, 2, 4, 2, 1, 4, 2, 2, 0, 0, 2, 1, 2, 4, 3, 2, 1, 1, 1, 4, 4, 1, 2, 1, 0, 1, 4, 0, 1, 2, 0, 0, 1, 0, 4, 4, 3, 1, 1, 3, 0, 3, 3, 0, 2, 0, 4, 1, 2, 0, 3, 1, 3, 3, 1, 3, 4, 3, 2, 0, 0, 4, 3, 3, 2, 1, 3, 0, 0, 3, 2, 2, 4, 4, 4, 1, 4, 1, 1, 0, 1, 1, 2, 4, 0, 0, 1, 0, 0, 1, 0, 1, 1, 3, 1, 4, 0, 0, 2, 4, 4, 1, 2, 4, 4, 2, 1, 2, 3, 1, 4, 0, 3, 1, 2, 0, 2, 0, 1, 2, 4, 4, 3, 4, 0, 3, 2, 3, 3, 0] pubkeycol1432 = [0, 4, 4, 1, 3, 2, 3, 0, 0, 0, 4, 2, 3, 4, 1, 3, 0, 4, 4, 0, 0, 3, 2, 2, 4, 0, 1, 3, 0, 4, 4, 0, 3, 1, 2, 2, 0, 0, 3, 4, 2, 2, 0, 4, 0, 0, 4, 0, 1, 4, 3, 3, 0, 4, 1, 1, 1, 4, 1, 1, 2, 4, 1, 2, 0, 3, 4, 0, 2, 0, 1, 1, 4, 2, 2, 1, 4, 3, 0, 0, 4, 4, 2, 0, 2, 4, 0, 2, 3, 4, 3, 0, 2, 1, 0, 4, 3, 0, 1, 4, 1, 1, 2, 0, 2, 1, 2, 3, 1, 3, 1, 3, 2, 0, 3, 3, 0, 2, 1, 0, 2, 4, 2, 3, 4, 0, 4, 0, 0, 2, 2, 1, 2, 1, 4, 1, 0, 2, 0, 0, 0, 3, 4, 1, 0, 3, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 3, 3, 4, 4, 0, 0, 3, 4, 4, 3, 3, 1, 2, 4, 3, 1, 0, 0, 3, 4, 1, 4, 3, 1, 3, 1, 3, 4, 2, 4, 1, 2, 0, 2, 2, 3, 2, 4, 1, 1, 3, 3, 4, 1, 4, 3, 4, 2, 0, 1, 3, 0, 1, 4, 2, 2, 0, 1, 4, 4, 1, 1, 2, 4, 2, 1, 2, 4, 1, 2, 3, 3, 3, 4, 4, 1, 1, 4, 3, 4, 1, 1, 4, 4, 4, 0, 0, 1, 1, 4, 3, 4, 2, 2, 3, 3, 0, 1, 0, 0, 1, 3, 2, 2, 0, 0, 4, 3, 3, 2, 1, 2, 3, 1, 2, 2, 3, 3, 1, 4, 4, 2, 0, 3, 2, 0, 3, 3, 4, 0, 3, 1, 4, 3, 0, 1, 2, 1, 0, 3, 1, 4, 3, 2, 1, 0, 0, 3, 2, 1, 3, 1, 1, 2, 3, 1, 3, 1, 0, 2, 0, 0, 0, 2, 1, 4, 4, 2, 0, 1, 0, 1, 1, 4, 4, 4, 3, 4, 4, 0, 3, 0, 0, 2, 0, 3, 2, 2, 2, 4, 3, 4, 0, 0, 1, 0, 1, 4, 4, 4, 2, 3, 2, 1, 4, 2, 1, 3, 3, 2, 4, 0, 2, 0, 0, 4, 2, 3, 1, 2, 1, 1, 1, 2, 2, 1, 4, 4, 1, 3, 1, 4, 1, 3, 2, 2, 2, 4, 3, 4, 1, 1, 0, 1, 1, 4, 0, 2, 4, 0, 3, 0, 0, 2, 0, 4, 1, 4, 2, 0, 1, 1, 2, 0, 1, 3, 0, 4, 0, 3, 0, 1, 0, 1, 3, 0, 2, 1, 4, 2, 1, 0, 2, 2, 1, 4, 3, 0, 2, 0, 2, 0, 2, 2, 3, 0, 2, 4, 2, 0, 3, 1, 0, 3, 3, 2, 3, 4, 0, 0, 4, 3, 1, 4, 0, 1, 3, 3, 2, 1, 4, 1, 3, 2] pubkeycol1433 = [1, 0, 3, 3, 3, 1, 2, 1, 1, 0, 1, 3, 4, 4, 2, 4, 4, 0, 2, 3, 2, 0, 3, 0, 4, 3, 2, 0, 0, 1, 2, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 4, 1, 0, 0, 4, 3, 3, 4, 0, 4, 3, 1, 0, 1, 3, 1, 0, 1, 4, 1, 1, 2, 3, 4, 2, 1, 0, 4, 1, 1, 1, 0, 4, 0, 0, 1, 4, 1, 0, 1, 0, 1, 4, 2, 4, 1, 4, 0, 1, 1, 1, 3, 0, 2, 0, 2, 3, 4, 2, 3, 2, 1, 1, 2, 4, 3, 3, 1, 4, 3, 4, 3, 3, 3, 3, 0, 2, 1, 4, 4, 2, 2, 4, 0, 4, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 4, 1, 2, 1, 2, 0, 1, 4, 3, 1, 4, 4, 2, 0, 1, 0, 4, 1, 1, 1, 4, 2, 2, 1, 3, 2, 4, 3, 3, 4, 0, 2, 0, 1, 2, 1, 0, 3, 0, 4, 4, 0, 2, 2, 3, 4, 1, 2, 0, 1, 0, 1, 3, 0, 3, 1, 2, 2, 0, 3, 3, 3, 1, 1, 4, 4, 4, 2, 1, 0, 1, 0, 3, 0, 0, 3, 3, 3, 0, 1, 3, 4, 4, 3, 0, 2, 1, 1, 2, 4, 1, 2, 4, 3, 2, 0, 2, 1, 1, 3, 4, 4, 2, 4, 4, 4, 2, 0, 3, 0, 4, 3, 4, 1, 1, 4, 3, 1, 1, 2, 0, 2, 0, 1, 2, 2, 3, 0, 2, 4, 0, 4, 3, 4, 4, 0, 2, 4, 3, 3, 4, 3, 1, 4, 3, 2, 3, 0, 4, 1, 2, 2, 2, 2, 1, 3, 3, 2, 2, 0, 1, 0, 0, 4, 1, 2, 2, 1, 3, 2, 1, 2, 4, 1, 1, 4, 0, 3, 4, 2, 1, 0, 3, 4, 2, 1, 2, 3, 3, 2, 1, 2, 0, 4, 2, 0, 4, 1, 0, 4, 4, 0, 1, 1, 4, 0, 2, 4, 0, 4, 3, 0, 0, 2, 3, 1, 1, 0, 2, 4, 4, 2, 0, 3, 1, 1, 4, 4, 1, 1, 1, 3, 0, 1, 3, 2, 3, 0, 3, 3, 1, 0, 1, 1, 1, 2, 0, 2, 3, 1, 1, 0, 0, 4, 0, 2, 0, 1, 2, 1, 3, 3, 0, 3, 4, 1, 3, 3, 2, 0, 0, 3, 3, 1, 0, 0, 1, 0, 4, 1, 0, 3, 3, 2, 2, 3, 0, 1, 4, 1, 3, 1, 2, 4, 4, 1, 3, 0, 2, 3, 3, 2, 0, 2, 3, 1, 4, 0, 4, 3, 0, 3, 1, 1, 0, 3, 1, 2, 2, 1, 0, 1, 3, 1, 1, 1, 0, 4, 2, 0, 1, 0, 2, 1, 1, 1, 4, 2, 3] pubkeycol1434 = [1, 0, 0, 2, 4, 0, 3, 4, 0, 4, 2, 4, 2, 0, 2, 4, 1, 3, 1, 4, 3, 1, 3, 4, 4, 1, 1, 4, 0, 4, 1, 4, 0, 1, 1, 1, 3, 0, 1, 1, 2, 0, 1, 1, 0, 0, 4, 2, 3, 0, 0, 2, 2, 0, 0, 0, 1, 4, 4, 3, 2, 3, 1, 3, 0, 3, 0, 3, 2, 2, 2, 3, 0, 0, 4, 1, 0, 4, 3, 1, 3, 4, 4, 4, 3, 0, 4, 2, 3, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 3, 4, 3, 4, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 4, 4, 2, 2, 0, 1, 2, 1, 4, 4, 3, 0, 2, 3, 4, 0, 4, 2, 3, 2, 1, 0, 3, 1, 4, 4, 3, 4, 1, 3, 3, 1, 1, 2, 3, 4, 3, 2, 2, 0, 3, 1, 3, 4, 4, 1, 4, 1, 0, 2, 2, 4, 0, 2, 3, 1, 3, 1, 4, 1, 1, 0, 3, 2, 3, 4, 3, 4, 3, 1, 0, 0, 3, 3, 3, 4, 2, 3, 4, 4, 1, 3, 4, 2, 3, 4, 2, 0, 1, 2, 3, 0, 2, 1, 4, 2, 0, 4, 0, 0, 1, 1, 2, 3, 4, 4, 2, 1, 3, 1, 0, 4, 3, 3, 4, 3, 0, 0, 3, 4, 4, 4, 4, 4, 2, 1, 4, 1, 0, 2, 1, 3, 2, 1, 0, 4, 1, 4, 2, 3, 2, 1, 4, 3, 0, 4, 2, 1, 0, 4, 0, 1, 4, 0, 3, 4, 0, 3, 0, 2, 1, 1, 1, 4, 2, 4, 1, 2, 2, 0, 0, 3, 0, 4, 2, 4, 3, 1, 4, 0, 4, 3, 4, 4, 2, 4, 3, 1, 1, 2, 0, 3, 3, 0, 4, 3, 4, 3, 3, 4, 3, 4, 2, 1, 0, 0, 1, 0, 1, 2, 3, 2, 4, 4, 0, 1, 3, 4, 4, 1, 0, 0, 2, 2, 2, 2, 3, 0, 3, 0, 0, 2, 0, 3, 2, 1, 2, 4, 3, 0, 4, 3, 0, 0, 4, 4, 0, 1, 3, 3, 4, 0, 1, 0, 2, 0, 1, 2, 3, 0, 1, 0, 2, 0, 3, 3, 2, 1, 2, 2, 0, 1, 0, 1, 1, 3, 1, 2, 3, 4, 2, 4, 4, 1, 0, 0, 3, 4, 2, 4, 1, 4, 1, 3, 3, 4, 4, 2, 2, 3, 0, 2, 3, 0, 2, 4, 0, 0, 0, 4, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 4, 4, 4, 2, 1, 0, 0, 3, 3, 3, 4, 0, 1, 2, 1, 4, 1, 0, 0, 0, 2, 0, 3, 3, 0, 4, 2, 2, 4, 0, 0, 3, 4, 1, 1, 2, 1, 1, 3, 4, 2, 3, 4, 3, 2, 4, 0] pubkeycol1435 = [2, 2, 2, 4, 2, 0, 1, 2, 2, 4, 0, 4, 4, 2, 3, 1, 1, 2, 1, 3, 3, 3, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 3, 0, 3, 3, 2, 1, 3, 4, 4, 1, 0, 3, 4, 1, 1, 3, 4, 4, 3, 0, 3, 0, 0, 1, 4, 2, 2, 4, 3, 2, 2, 4, 2, 4, 3, 2, 0, 2, 2, 2, 4, 3, 3, 2, 4, 1, 1, 4, 0, 1, 3, 2, 1, 4, 1, 0, 2, 1, 0, 4, 3, 1, 1, 0, 0, 1, 4, 4, 2, 0, 3, 3, 3, 4, 2, 1, 0, 3, 2, 3, 2, 3, 4, 4, 2, 3, 0, 1, 2, 1, 2, 2, 1, 4, 4, 0, 4, 1, 3, 4, 3, 1, 2, 1, 1, 3, 3, 1, 4, 4, 4, 4, 2, 0, 3, 4, 2, 2, 4, 1, 1, 3, 2, 2, 4, 4, 3, 4, 4, 4, 0, 2, 4, 3, 4, 3, 1, 4, 4, 0, 1, 4, 1, 3, 4, 3, 4, 3, 4, 0, 3, 4, 3, 0, 0, 1, 1, 3, 0, 2, 3, 3, 4, 1, 4, 3, 4, 3, 2, 4, 4, 2, 4, 1, 3, 3, 3, 4, 3, 4, 0, 1, 2, 0, 2, 4, 3, 0, 2, 2, 1, 4, 0, 1, 3, 3, 2, 2, 1, 4, 4, 4, 1, 0, 3, 4, 2, 2, 1, 1, 0, 4, 4, 4, 4, 3, 3, 3, 1, 0, 0, 2, 3, 4, 3, 1, 2, 1, 4, 4, 4, 2, 3, 3, 3, 4, 4, 4, 2, 4, 4, 1, 1, 3, 0, 2, 2, 4, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 3, 2, 4, 3, 1, 2, 0, 1, 3, 2, 2, 1, 2, 3, 4, 2, 1, 0, 2, 4, 0, 0, 4, 1, 3, 1, 2, 4, 4, 0, 1, 1, 3, 3, 1, 2, 3, 1, 4, 3, 3, 0, 2, 1, 0, 0, 3, 2, 0, 2, 2, 0, 0, 1, 1, 4, 3, 1, 3, 4, 1, 0, 4, 4, 2, 0, 4, 2, 4, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 4, 4, 0, 0, 2, 3, 4, 0, 3, 2, 0, 3, 3, 3, 4, 3, 3, 4, 4, 0, 0, 4, 0, 2, 4, 0, 1, 0, 2, 1, 2, 0, 0, 1, 3, 3, 3, 3, 4, 2, 1, 3, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 4, 1, 2, 2, 3, 2, 4, 4, 3, 0, 4, 0, 0, 3, 0, 3, 4, 2, 2, 0, 2, 2, 3, 2, 2, 4, 1, 1, 1, 0, 3, 4, 1, 2, 2, 3, 3, 4, 4, 2, 0, 3, 4, 0, 1, 2, 1, 4, 0, 2, 3, 4, 4, 1, 2, 2, 0] pubkeycol1436 = [2, 1, 0, 3, 3, 4, 3, 2, 2, 3, 0, 3, 0, 3, 3, 0, 0, 2, 0, 0, 4, 0, 0, 4, 2, 0, 1, 2, 0, 1, 4, 0, 3, 2, 0, 1, 3, 1, 4, 1, 2, 1, 0, 1, 2, 0, 4, 0, 4, 2, 4, 1, 0, 2, 1, 4, 0, 2, 4, 2, 1, 0, 0, 0, 4, 3, 1, 0, 4, 1, 3, 2, 0, 2, 0, 3, 1, 0, 3, 2, 2, 2, 2, 3, 3, 0, 1, 3, 2, 0, 3, 3, 4, 4, 0, 0, 3, 2, 4, 2, 4, 2, 4, 3, 2, 2, 3, 4, 0, 3, 4, 4, 0, 2, 4, 3, 3, 2, 3, 2, 4, 4, 4, 1, 0, 3, 0, 3, 1, 1, 0, 4, 3, 1, 4, 1, 4, 1, 0, 1, 0, 4, 1, 2, 4, 3, 3, 4, 0, 4, 2, 0, 0, 0, 2, 3, 1, 1, 2, 0, 3, 4, 0, 4, 4, 0, 0, 0, 1, 0, 1, 1, 3, 3, 0, 2, 2, 3, 0, 0, 1, 2, 2, 3, 1, 0, 4, 0, 0, 3, 4, 4, 1, 1, 0, 3, 2, 3, 0, 4, 0, 1, 2, 3, 0, 3, 4, 4, 2, 4, 0, 4, 4, 2, 2, 3, 4, 0, 2, 2, 2, 4, 0, 1, 0, 2, 0, 4, 0, 4, 2, 0, 1, 4, 4, 0, 4, 3, 0, 0, 4, 1, 1, 4, 4, 0, 0, 1, 0, 4, 4, 4, 3, 3, 2, 1, 4, 1, 4, 2, 1, 4, 2, 4, 1, 1, 4, 4, 1, 2, 2, 2, 0, 3, 3, 4, 3, 0, 3, 4, 2, 3, 0, 1, 1, 1, 4, 4, 2, 2, 1, 3, 4, 3, 4, 4, 1, 3, 2, 0, 4, 3, 0, 2, 4, 0, 3, 0, 4, 0, 3, 2, 3, 4, 2, 1, 1, 3, 2, 3, 3, 1, 1, 1, 0, 3, 4, 0, 4, 2, 0, 0, 2, 2, 1, 3, 0, 0, 3, 0, 4, 2, 2, 3, 1, 0, 3, 2, 3, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 4, 3, 2, 2, 3, 3, 4, 4, 2, 1, 1, 3, 2, 0, 1, 3, 0, 4, 4, 1, 2, 4, 1, 1, 2, 3, 1, 4, 2, 4, 4, 0, 3, 3, 0, 3, 4, 4, 4, 3, 3, 1, 4, 4, 3, 2, 2, 0, 4, 2, 4, 0, 3, 4, 3, 2, 2, 3, 1, 4, 1, 3, 4, 4, 0, 0, 2, 0, 0, 4, 0, 3, 3, 3, 1, 1, 1, 4, 0, 1, 1, 4, 0, 3, 4, 2, 1, 3, 4, 0, 3, 0, 3, 3, 1, 4, 0, 3, 1, 1, 2, 4, 2, 2, 3, 2, 2, 3, 1, 4, 2, 4, 3, 3, 3, 0, 3, 0, 3, 2, 3] pubkeycol1437 = [2, 0, 2, 2, 4, 3, 1, 3, 0, 3, 3, 0, 0, 1, 1, 3, 1, 4, 1, 4, 0, 3, 0, 4, 4, 4, 3, 3, 1, 0, 3, 4, 4, 2, 0, 0, 4, 2, 4, 0, 4, 3, 4, 3, 2, 2, 0, 1, 3, 3, 0, 0, 1, 4, 4, 2, 0, 2, 2, 3, 1, 2, 2, 4, 3, 4, 4, 0, 1, 0, 4, 3, 4, 4, 1, 2, 3, 4, 1, 2, 2, 0, 4, 0, 1, 4, 2, 3, 4, 1, 3, 2, 1, 0, 2, 0, 2, 1, 2, 1, 3, 3, 3, 1, 2, 3, 3, 0, 4, 3, 0, 0, 3, 0, 1, 2, 0, 1, 0, 4, 0, 0, 1, 2, 3, 1, 4, 2, 0, 2, 1, 3, 2, 2, 4, 0, 2, 2, 4, 2, 0, 2, 1, 2, 3, 1, 4, 4, 0, 1, 4, 4, 4, 0, 2, 4, 2, 1, 2, 2, 0, 0, 4, 0, 1, 4, 1, 1, 1, 4, 1, 0, 4, 0, 2, 4, 3, 0, 1, 2, 3, 2, 2, 0, 2, 4, 4, 1, 4, 3, 0, 1, 0, 0, 2, 4, 3, 4, 2, 2, 3, 4, 2, 4, 0, 4, 1, 4, 2, 1, 3, 1, 2, 1, 3, 3, 4, 3, 2, 3, 3, 0, 4, 4, 4, 0, 3, 3, 4, 1, 1, 0, 0, 3, 2, 3, 0, 1, 1, 4, 2, 0, 2, 0, 2, 1, 4, 1, 3, 4, 4, 1, 3, 3, 2, 2, 4, 3, 1, 4, 2, 4, 3, 1, 0, 1, 3, 0, 3, 1, 3, 2, 2, 4, 1, 2, 0, 3, 3, 1, 4, 0, 0, 3, 2, 3, 4, 0, 2, 2, 4, 1, 3, 1, 3, 2, 3, 4, 1, 4, 1, 0, 1, 2, 0, 3, 4, 1, 4, 0, 3, 4, 2, 1, 4, 1, 3, 3, 1, 4, 3, 2, 3, 3, 0, 3, 4, 2, 0, 0, 0, 0, 0, 4, 1, 1, 4, 4, 4, 1, 3, 3, 0, 1, 0, 0, 2, 0, 2, 0, 4, 1, 4, 4, 1, 2, 2, 1, 4, 4, 0, 1, 0, 3, 0, 4, 0, 0, 1, 0, 0, 2, 0, 4, 1, 3, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 3, 0, 2, 4, 2, 4, 0, 1, 1, 2, 2, 1, 4, 0, 0, 1, 2, 0, 3, 1, 1, 0, 4, 3, 4, 4, 1, 4, 0, 1, 3, 3, 1, 0, 0, 2, 2, 4, 0, 4, 1, 1, 1, 4, 0, 3, 0, 3, 3, 2, 1, 0, 0, 4, 1, 1, 2, 0, 1, 1, 2, 3, 4, 0, 3, 3, 0, 1, 0, 1, 4, 2, 3, 0, 0, 0, 2, 1, 3, 4, 2, 4, 2, 2, 2, 2, 2, 2, 4, 4, 1, 2, 0, 4] pubkeycol1438 = [2, 4, 4, 0, 4, 4, 2, 1, 3, 2, 1, 3, 2, 4, 1, 0, 3, 1, 1, 3, 0, 4, 0, 4, 1, 1, 1, 3, 2, 3, 4, 4, 1, 4, 3, 2, 0, 2, 1, 4, 4, 2, 0, 0, 2, 0, 4, 3, 2, 4, 4, 3, 3, 1, 1, 4, 2, 2, 2, 4, 4, 3, 2, 2, 4, 1, 2, 3, 3, 1, 0, 4, 3, 0, 4, 4, 0, 4, 1, 3, 2, 0, 0, 1, 3, 2, 4, 0, 2, 4, 1, 2, 2, 2, 1, 0, 1, 2, 3, 0, 3, 4, 4, 2, 3, 1, 0, 0, 2, 0, 2, 3, 4, 0, 3, 2, 1, 3, 4, 1, 2, 1, 3, 1, 3, 0, 3, 4, 3, 3, 1, 4, 1, 2, 3, 1, 1, 0, 2, 1, 4, 3, 3, 1, 4, 1, 4, 4, 0, 4, 4, 0, 0, 3, 4, 0, 4, 1, 2, 3, 4, 3, 4, 3, 4, 4, 4, 1, 2, 3, 3, 1, 1, 4, 0, 1, 1, 1, 3, 4, 4, 2, 1, 0, 2, 4, 4, 0, 4, 0, 0, 3, 2, 1, 3, 3, 1, 3, 1, 4, 4, 4, 4, 3, 3, 0, 0, 0, 1, 0, 0, 1, 4, 4, 1, 0, 0, 3, 4, 4, 0, 3, 0, 1, 4, 2, 0, 2, 2, 0, 2, 4, 4, 2, 1, 3, 1, 4, 4, 2, 3, 3, 3, 0, 3, 3, 3, 3, 0, 1, 2, 3, 1, 0, 4, 4, 3, 3, 3, 3, 1, 3, 4, 0, 3, 1, 1, 1, 2, 3, 3, 4, 2, 3, 1, 1, 3, 4, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 4, 0, 3, 4, 2, 1, 0, 2, 4, 0, 0, 0, 0, 4, 3, 4, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 4, 3, 2, 2, 3, 2, 4, 3, 0, 0, 3, 4, 1, 2, 2, 0, 3, 1, 2, 4, 2, 0, 3, 2, 2, 1, 0, 2, 3, 4, 1, 4, 3, 2, 4, 3, 0, 2, 3, 1, 4, 0, 0, 0, 2, 3, 0, 0, 1, 3, 1, 3, 2, 4, 1, 2, 4, 4, 0, 2, 1, 3, 0, 2, 4, 4, 0, 2, 0, 3, 4, 3, 4, 0, 4, 1, 3, 4, 3, 1, 3, 2, 1, 4, 2, 1, 2, 3, 1, 4, 4, 0, 3, 2, 1, 3, 4, 3, 2, 1, 0, 0, 2, 1, 0, 4, 0, 0, 0, 4, 3, 2, 4, 0, 3, 4, 1, 1, 3, 2, 3, 1, 4, 0, 1, 3, 0, 1, 0, 2, 1, 0, 1, 1, 1, 4, 1, 3, 1, 2, 4, 2, 4, 3, 2, 2, 1, 2, 2, 1, 1, 4, 0, 1, 1, 2, 0, 3, 2, 1, 1, 3, 4, 0] pubkeycol1439 = [1, 3, 3, 3, 0, 2, 0, 2, 3, 0, 2, 4, 0, 0, 1, 1, 1, 0, 3, 0, 3, 3, 1, 1, 0, 1, 3, 4, 2, 0, 1, 3, 3, 2, 3, 3, 1, 0, 3, 4, 2, 3, 1, 1, 3, 2, 1, 0, 2, 4, 4, 0, 3, 4, 3, 0, 2, 1, 4, 0, 3, 3, 2, 3, 2, 1, 1, 2, 1, 3, 4, 4, 4, 2, 1, 3, 3, 0, 2, 4, 3, 0, 1, 3, 4, 1, 2, 4, 0, 2, 1, 3, 0, 1, 0, 2, 0, 3, 3, 2, 0, 4, 1, 4, 4, 0, 2, 0, 0, 1, 4, 1, 3, 4, 1, 0, 2, 4, 0, 4, 0, 1, 0, 4, 0, 2, 3, 1, 2, 0, 2, 4, 2, 4, 2, 1, 2, 3, 0, 2, 0, 3, 4, 3, 0, 2, 2, 1, 1, 2, 1, 1, 3, 0, 1, 0, 1, 1, 4, 0, 2, 4, 2, 4, 0, 4, 0, 3, 2, 1, 2, 4, 0, 3, 0, 0, 2, 3, 1, 4, 2, 1, 0, 0, 1, 3, 1, 2, 1, 3, 1, 0, 2, 1, 0, 3, 2, 2, 3, 4, 2, 2, 2, 3, 3, 1, 1, 4, 1, 2, 4, 3, 1, 0, 4, 1, 2, 3, 1, 4, 4, 1, 0, 2, 3, 3, 1, 2, 4, 0, 1, 3, 0, 4, 4, 1, 1, 0, 2, 4, 1, 1, 2, 1, 2, 3, 4, 2, 3, 4, 2, 3, 4, 0, 1, 4, 4, 2, 0, 1, 2, 0, 4, 1, 3, 4, 4, 1, 2, 1, 4, 1, 3, 4, 0, 0, 1, 4, 2, 3, 2, 3, 3, 4, 1, 3, 0, 4, 2, 2, 2, 2, 3, 3, 1, 1, 0, 2, 4, 1, 1, 4, 0, 2, 0, 3, 1, 1, 1, 1, 1, 3, 3, 1, 3, 4, 2, 1, 0, 1, 4, 0, 4, 2, 2, 2, 3, 4, 1, 3, 3, 1, 0, 1, 3, 3, 3, 1, 4, 2, 0, 3, 4, 0, 4, 2, 0, 2, 4, 1, 3, 3, 3, 1, 2, 0, 0, 3, 1, 3, 0, 3, 2, 1, 4, 2, 1, 0, 1, 3, 2, 0, 3, 4, 4, 0, 3, 3, 1, 4, 2, 2, 0, 3, 1, 0, 4, 0, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 3, 1, 3, 4, 1, 3, 4, 1, 4, 2, 3, 4, 2, 0, 3, 4, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 4, 0, 4, 1, 2, 1, 3, 4, 3, 3, 3, 4, 1, 0, 1, 0, 2, 1, 1, 2, 2, 4, 1, 0, 1, 0, 1, 3, 2, 3, 0, 1, 1, 2, 3, 1, 4, 0, 4, 1, 0, 4, 3, 1, 3, 2, 4, 0, 1, 2, 3, 4, 4, 3, 4] pubkeycol1440 = [3, 3, 2, 2, 1, 2, 2, 0, 2, 3, 2, 3, 2, 1, 2, 2, 2, 1, 4, 2, 3, 3, 2, 0, 2, 2, 0, 2, 3, 1, 1, 4, 2, 0, 4, 1, 2, 1, 0, 4, 4, 2, 2, 1, 3, 4, 3, 1, 3, 2, 4, 1, 3, 1, 4, 2, 3, 4, 4, 3, 2, 0, 3, 0, 0, 2, 3, 1, 0, 3, 4, 1, 0, 1, 2, 2, 3, 1, 3, 0, 2, 0, 0, 0, 3, 2, 2, 2, 3, 2, 0, 1, 1, 4, 4, 1, 4, 4, 2, 3, 0, 2, 1, 2, 1, 2, 0, 2, 0, 3, 1, 0, 1, 1, 4, 1, 2, 4, 0, 3, 3, 1, 0, 2, 2, 2, 3, 1, 3, 4, 4, 4, 1, 1, 0, 3, 3, 3, 4, 1, 0, 4, 0, 0, 2, 4, 2, 1, 3, 1, 1, 1, 3, 4, 2, 1, 4, 3, 2, 2, 2, 2, 1, 0, 0, 3, 2, 3, 3, 0, 2, 0, 3, 4, 2, 1, 3, 0, 1, 1, 4, 2, 1, 2, 2, 4, 1, 3, 0, 4, 0, 4, 0, 2, 1, 1, 3, 1, 0, 4, 0, 2, 3, 2, 2, 4, 1, 3, 0, 2, 1, 0, 0, 3, 1, 3, 4, 4, 3, 3, 1, 2, 1, 4, 0, 3, 4, 4, 4, 1, 1, 3, 2, 3, 1, 3, 1, 4, 1, 4, 2, 2, 0, 4, 1, 1, 4, 2, 4, 4, 2, 0, 2, 3, 2, 1, 0, 0, 0, 1, 4, 3, 4, 1, 4, 2, 1, 2, 1, 1, 0, 3, 3, 3, 4, 3, 0, 1, 1, 4, 1, 4, 3, 3, 0, 4, 4, 4, 0, 3, 2, 4, 0, 2, 4, 1, 3, 3, 2, 3, 1, 4, 1, 2, 4, 3, 0, 2, 4, 0, 4, 0, 3, 2, 1, 1, 4, 2, 0, 2, 2, 4, 3, 4, 0, 1, 2, 2, 3, 1, 2, 3, 1, 2, 3, 0, 2, 0, 2, 1, 4, 3, 1, 1, 2, 1, 0, 0, 0, 3, 2, 2, 2, 4, 1, 0, 3, 4, 0, 2, 2, 0, 3, 4, 2, 0, 1, 4, 2, 2, 3, 4, 3, 4, 0, 0, 1, 1, 0, 3, 3, 2, 3, 4, 0, 0, 3, 3, 4, 2, 4, 0, 4, 2, 1, 1, 1, 3, 0, 0, 0, 1, 3, 4, 0, 3, 0, 4, 3, 3, 0, 1, 2, 0, 1, 4, 2, 0, 1, 1, 3, 0, 3, 4, 1, 0, 3, 2, 3, 3, 2, 1, 1, 3, 3, 1, 4, 4, 0, 4, 3, 2, 1, 0, 4, 1, 0, 3, 4, 1, 2, 4, 1, 1, 3, 0, 1, 2, 4, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 3, 0, 4, 4, 1, 4, 0, 2, 0, 2, 1] pubkeycol1441 = [0, 2, 2, 2, 3, 1, 3, 4, 3, 1, 1, 2, 3, 4, 1, 2, 2, 3, 1, 0, 2, 3, 1, 1, 1, 0, 2, 4, 3, 1, 4, 3, 2, 0, 2, 3, 3, 1, 4, 4, 0, 3, 1, 3, 0, 2, 4, 4, 0, 4, 3, 1, 4, 1, 1, 3, 1, 2, 0, 0, 0, 3, 4, 1, 3, 0, 3, 3, 1, 0, 2, 4, 4, 4, 2, 0, 2, 3, 3, 4, 3, 2, 2, 0, 1, 0, 3, 0, 1, 3, 3, 0, 4, 4, 2, 0, 3, 4, 3, 0, 1, 1, 1, 3, 1, 1, 4, 2, 3, 1, 1, 4, 2, 0, 3, 0, 1, 1, 1, 3, 4, 1, 4, 3, 0, 2, 4, 0, 4, 3, 1, 3, 4, 4, 2, 2, 0, 1, 1, 2, 3, 0, 0, 0, 1, 4, 2, 2, 4, 4, 4, 2, 1, 3, 4, 3, 0, 4, 4, 1, 4, 3, 1, 1, 4, 1, 4, 2, 3, 2, 3, 3, 2, 0, 1, 3, 3, 3, 1, 4, 3, 4, 0, 0, 1, 2, 2, 1, 3, 4, 4, 3, 2, 3, 2, 2, 0, 2, 3, 1, 2, 1, 0, 1, 4, 3, 1, 4, 3, 0, 2, 3, 2, 1, 3, 2, 1, 1, 0, 2, 3, 4, 0, 3, 0, 4, 2, 2, 3, 0, 1, 1, 2, 4, 1, 0, 4, 1, 4, 2, 3, 0, 1, 4, 2, 2, 4, 2, 3, 2, 4, 4, 2, 2, 2, 4, 2, 1, 3, 0, 3, 1, 3, 1, 1, 3, 2, 0, 0, 4, 0, 2, 2, 4, 0, 1, 4, 4, 3, 0, 0, 1, 0, 2, 3, 0, 1, 2, 2, 4, 3, 0, 3, 2, 4, 4, 0, 2, 2, 0, 4, 2, 4, 4, 1, 2, 3, 1, 0, 0, 1, 0, 2, 2, 0, 4, 0, 3, 4, 0, 2, 0, 3, 2, 2, 0, 2, 4, 2, 2, 2, 1, 2, 1, 0, 4, 4, 1, 3, 4, 0, 0, 0, 3, 2, 2, 3, 4, 1, 1, 1, 1, 2, 0, 4, 0, 0, 2, 0, 2, 4, 4, 2, 4, 2, 1, 0, 4, 3, 3, 1, 4, 0, 0, 4, 0, 2, 4, 4, 3, 0, 1, 1, 1, 3, 4, 0, 3, 3, 0, 1, 3, 1, 4, 4, 3, 2, 0, 4, 0, 2, 1, 1, 3, 1, 0, 1, 0, 3, 3, 1, 3, 0, 2, 3, 4, 3, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 3, 4, 1, 2, 3, 2, 3, 3, 4, 3, 0, 1, 1, 0, 0, 2, 0, 2, 4, 0, 1, 2, 1, 2, 2, 0, 2, 3, 0, 3, 2, 2, 4, 0, 4, 1, 0, 3, 0, 4, 3, 0, 0, 2, 0, 4, 3, 4, 1, 1, 4, 1] pubkeycol1442 = [0, 4, 3, 4, 4, 1, 2, 0, 4, 2, 0, 0, 2, 4, 3, 0, 3, 2, 2, 3, 3, 1, 1, 1, 4, 1, 4, 2, 0, 0, 2, 1, 2, 3, 3, 2, 0, 4, 1, 0, 4, 4, 2, 1, 0, 4, 2, 2, 0, 2, 1, 4, 0, 4, 2, 4, 0, 2, 3, 0, 4, 3, 2, 1, 4, 4, 2, 1, 2, 2, 1, 3, 1, 4, 2, 3, 0, 3, 1, 4, 2, 4, 4, 0, 0, 0, 0, 4, 4, 2, 2, 2, 0, 1, 3, 0, 0, 1, 2, 4, 3, 4, 4, 2, 3, 0, 3, 3, 2, 1, 1, 3, 4, 3, 1, 2, 3, 0, 3, 2, 2, 3, 2, 3, 1, 4, 3, 4, 4, 3, 3, 1, 2, 4, 2, 4, 1, 2, 0, 0, 3, 0, 4, 1, 3, 1, 2, 0, 4, 4, 2, 3, 4, 4, 4, 2, 0, 2, 3, 3, 2, 1, 2, 4, 0, 3, 3, 1, 2, 3, 2, 2, 4, 0, 4, 3, 3, 0, 3, 1, 4, 2, 3, 0, 4, 3, 4, 0, 1, 0, 4, 3, 0, 1, 2, 4, 0, 1, 3, 4, 1, 3, 3, 2, 2, 0, 1, 0, 3, 3, 2, 4, 0, 1, 3, 3, 1, 4, 0, 0, 3, 4, 1, 2, 4, 4, 0, 1, 1, 4, 4, 1, 1, 0, 3, 0, 3, 1, 2, 3, 2, 4, 1, 2, 3, 4, 3, 4, 2, 0, 0, 4, 2, 2, 1, 0, 3, 3, 3, 1, 4, 0, 2, 0, 0, 4, 0, 2, 0, 4, 4, 2, 3, 4, 4, 0, 2, 2, 4, 4, 2, 1, 0, 4, 0, 2, 0, 2, 4, 2, 0, 0, 1, 3, 2, 2, 1, 4, 2, 2, 2, 2, 0, 4, 1, 1, 0, 1, 2, 3, 2, 1, 4, 1, 3, 4, 0, 0, 2, 1, 2, 1, 4, 0, 2, 3, 0, 1, 0, 0, 4, 0, 3, 0, 3, 2, 3, 4, 4, 2, 3, 3, 2, 1, 0, 1, 0, 2, 4, 2, 3, 2, 3, 3, 1, 2, 1, 1, 0, 4, 2, 4, 0, 4, 3, 2, 3, 3, 4, 3, 2, 2, 1, 4, 1, 0, 3, 2, 4, 1, 2, 4, 3, 4, 4, 4, 1, 3, 2, 1, 4, 0, 0, 1, 3, 2, 4, 3, 4, 0, 3, 3, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 3, 4, 1, 4, 4, 4, 4, 0, 0, 1, 2, 2, 4, 3, 2, 0, 0, 1, 2, 4, 1, 1, 3, 1, 0, 3, 3, 4, 1, 1, 1, 3, 2, 0, 3, 2, 0, 1, 0, 4, 1, 3, 2, 1, 3, 0, 2, 4, 3, 2, 1, 3, 4, 3, 1, 3, 3, 4, 1, 4, 2, 2, 4, 4, 2, 0, 2] pubkeycol1443 = [2, 4, 2, 1, 2, 3, 0, 1, 1, 3, 4, 0, 3, 0, 3, 1, 2, 1, 1, 3, 4, 1, 0, 2, 0, 3, 1, 2, 1, 0, 3, 0, 1, 4, 2, 3, 1, 0, 2, 0, 3, 1, 4, 4, 2, 3, 2, 2, 4, 0, 3, 3, 2, 4, 3, 0, 3, 4, 1, 0, 2, 3, 1, 3, 3, 2, 3, 1, 1, 2, 0, 2, 0, 2, 4, 2, 3, 1, 0, 0, 1, 3, 0, 3, 2, 4, 1, 2, 2, 2, 3, 1, 4, 1, 4, 0, 4, 4, 4, 4, 2, 2, 1, 3, 3, 4, 3, 1, 1, 3, 2, 4, 3, 2, 2, 1, 1, 0, 0, 4, 3, 1, 0, 3, 1, 0, 0, 4, 3, 2, 4, 4, 0, 4, 0, 2, 1, 1, 3, 0, 2, 4, 0, 4, 2, 4, 0, 3, 4, 0, 0, 4, 0, 3, 3, 3, 0, 0, 1, 3, 0, 3, 2, 1, 3, 1, 4, 3, 1, 0, 4, 4, 3, 0, 0, 2, 4, 3, 4, 1, 3, 3, 0, 3, 2, 4, 4, 1, 0, 0, 1, 1, 1, 0, 3, 3, 2, 3, 0, 2, 2, 4, 2, 1, 0, 2, 4, 4, 1, 0, 4, 0, 2, 3, 1, 4, 1, 1, 1, 4, 0, 3, 1, 0, 4, 3, 4, 4, 3, 4, 3, 3, 1, 3, 2, 1, 3, 4, 0, 4, 3, 1, 1, 3, 3, 0, 3, 4, 1, 0, 4, 1, 3, 1, 0, 3, 3, 2, 2, 3, 1, 0, 1, 4, 4, 0, 3, 1, 3, 4, 0, 4, 4, 1, 0, 2, 2, 3, 1, 4, 0, 0, 4, 4, 4, 4, 3, 0, 0, 0, 0, 1, 4, 3, 4, 3, 3, 1, 0, 0, 1, 3, 3, 2, 1, 2, 2, 3, 1, 0, 0, 2, 4, 2, 2, 0, 3, 1, 4, 1, 0, 4, 0, 3, 1, 2, 4, 3, 2, 0, 2, 0, 2, 3, 0, 1, 4, 0, 3, 0, 1, 1, 1, 0, 1, 0, 2, 4, 2, 1, 2, 0, 3, 3, 1, 0, 2, 0, 0, 3, 1, 1, 2, 4, 2, 3, 0, 4, 0, 3, 1, 2, 1, 0, 2, 1, 3, 1, 0, 0, 2, 4, 1, 0, 4, 2, 3, 4, 2, 0, 4, 0, 1, 4, 1, 4, 4, 3, 2, 3, 0, 0, 3, 4, 2, 2, 0, 2, 0, 4, 3, 1, 4, 4, 0, 3, 2, 1, 2, 1, 3, 3, 1, 3, 1, 4, 2, 0, 2, 4, 1, 3, 2, 4, 1, 4, 3, 0, 4, 2, 4, 3, 1, 0, 3, 0, 1, 4, 0, 3, 3, 3, 2, 1, 1, 3, 4, 1, 4, 1, 1, 2, 4, 4, 0, 0, 1, 4, 0, 0, 2, 3, 3, 3, 2, 3, 3, 2, 0, 4] pubkeycol1444 = [1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 3, 4, 3, 2, 0, 2, 4, 4, 0, 1, 4, 3, 2, 4, 1, 4, 2, 4, 0, 4, 2, 1, 3, 2, 3, 3, 2, 2, 4, 1, 3, 1, 4, 3, 0, 1, 2, 1, 4, 0, 1, 3, 2, 0, 1, 4, 0, 1, 3, 3, 1, 0, 4, 3, 1, 4, 0, 0, 1, 1, 4, 0, 2, 2, 2, 3, 3, 4, 4, 2, 3, 2, 1, 1, 0, 3, 0, 4, 1, 1, 0, 3, 3, 4, 3, 3, 2, 0, 2, 3, 4, 4, 0, 0, 1, 3, 0, 1, 1, 0, 0, 2, 0, 1, 2, 3, 1, 3, 1, 1, 3, 1, 1, 0, 0, 3, 3, 3, 0, 0, 3, 2, 1, 3, 3, 0, 4, 2, 2, 3, 0, 4, 0, 3, 2, 3, 1, 2, 4, 2, 0, 2, 4, 1, 3, 0, 1, 1, 2, 3, 2, 2, 4, 0, 3, 4, 1, 1, 4, 4, 3, 0, 4, 1, 2, 4, 1, 4, 0, 1, 1, 4, 4, 2, 2, 3, 0, 1, 4, 3, 3, 4, 3, 0, 0, 1, 1, 0, 4, 2, 4, 3, 0, 1, 2, 4, 4, 0, 4, 4, 3, 4, 4, 2, 4, 3, 2, 4, 4, 4, 1, 2, 1, 0, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 3, 2, 3, 1, 2, 0, 4, 0, 2, 1, 1, 0, 3, 3, 0, 3, 1, 2, 1, 3, 3, 3, 0, 3, 2, 2, 1, 1, 0, 3, 2, 3, 0, 4, 1, 0, 2, 4, 1, 0, 4, 1, 4, 2, 0, 0, 4, 0, 2, 1, 4, 4, 2, 1, 0, 4, 1, 2, 4, 2, 2, 3, 2, 2, 2, 2, 2, 4, 2, 0, 4, 0, 3, 2, 4, 0, 4, 2, 1, 4, 3, 0, 2, 1, 3, 0, 4, 2, 3, 4, 1, 4, 0, 3, 2, 1, 1, 1, 3, 1, 2, 1, 2, 0, 0, 0, 3, 2, 2, 0, 3, 0, 4, 1, 1, 0, 0, 2, 4, 3, 2, 1, 3, 3, 3, 1, 3, 3, 0, 0, 4, 2, 1, 1, 0, 2, 3, 2, 3, 0, 3, 1, 2, 2, 0, 3, 2, 4, 2, 4, 1, 4, 1, 3, 2, 2, 0, 2, 3, 1, 4, 4, 2, 4, 0, 0, 3, 1, 2, 0, 4, 1, 0, 0, 4, 4, 1, 4, 4, 2, 4, 1, 2, 0, 0, 2, 3, 0, 2, 0, 4, 2, 2, 1, 1, 4, 1, 4, 3, 0, 1, 1, 4, 3, 2, 1, 2, 0, 3, 0, 4, 3, 0, 0, 3, 2, 4, 0, 0, 1, 2, 4, 2, 0, 4, 0, 0, 2, 0, 3, 0, 3, 2, 4, 3, 2, 3, 4, 1, 3, 1, 0, 3, 4, 0, 1] pubkeycol1445 = [3, 0, 0, 4, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 3, 4, 3, 2, 2, 2, 0, 4, 0, 1, 1, 2, 1, 4, 2, 4, 3, 1, 2, 2, 1, 3, 4, 2, 4, 3, 2, 2, 2, 4, 0, 0, 0, 0, 3, 4, 1, 4, 1, 4, 4, 3, 2, 2, 0, 2, 4, 2, 3, 2, 1, 1, 3, 0, 0, 1, 3, 2, 3, 0, 4, 1, 3, 1, 2, 1, 4, 2, 3, 4, 4, 3, 0, 0, 2, 1, 4, 0, 1, 2, 0, 0, 2, 4, 1, 4, 1, 2, 0, 4, 3, 1, 1, 3, 3, 0, 0, 4, 3, 2, 3, 2, 3, 4, 3, 3, 0, 0, 4, 2, 2, 4, 0, 0, 3, 4, 4, 1, 0, 0, 3, 0, 3, 1, 3, 3, 2, 1, 3, 2, 2, 1, 1, 2, 2, 3, 3, 4, 0, 0, 4, 1, 0, 3, 0, 3, 3, 2, 2, 3, 3, 1, 1, 3, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 3, 1, 4, 4, 4, 3, 4, 2, 2, 1, 4, 4, 1, 4, 3, 0, 4, 1, 4, 1, 3, 0, 1, 4, 3, 2, 4, 3, 0, 4, 3, 2, 4, 2, 0, 3, 3, 0, 0, 0, 2, 2, 4, 4, 4, 3, 2, 1, 4, 3, 0, 0, 3, 1, 3, 3, 0, 0, 4, 0, 4, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 4, 2, 3, 1, 2, 3, 3, 3, 1, 3, 1, 2, 4, 4, 3, 3, 3, 0, 0, 2, 3, 4, 0, 1, 0, 2, 3, 4, 1, 3, 1, 1, 4, 0, 3, 4, 4, 3, 2, 0, 0, 0, 2, 4, 1, 0, 0, 2, 4, 1, 3, 4, 1, 0, 4, 1, 2, 4, 4, 3, 0, 0, 0, 0, 1, 2, 4, 4, 4, 0, 2, 4, 4, 2, 0, 3, 2, 3, 1, 4, 3, 4, 2, 1, 0, 0, 0, 3, 1, 4, 1, 1, 4, 3, 1, 3, 4, 3, 1, 2, 2, 4, 2, 4, 4, 4, 4, 2, 4, 4, 3, 4, 2, 4, 1, 0, 0, 0, 1, 3, 2, 1, 3, 3, 2, 3, 4, 4, 1, 1, 1, 4, 4, 4, 4, 0, 0, 3, 3, 0, 2, 0, 4, 1, 2, 2, 2, 0, 1, 1, 3, 4, 3, 4, 3, 1, 3, 0, 4, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 4, 1, 3, 3, 1, 4, 4, 2, 4, 1, 2, 3, 2, 2, 1, 2, 4, 2, 1, 1, 2, 1, 4, 0, 0, 1, 4, 0, 1, 4, 1, 0, 1, 4, 2, 2, 2, 3, 4, 2, 0, 1, 4, 3, 4, 0, 4, 1, 0, 4, 1, 0, 0, 0, 0, 4] pubkeycol1446 = [1, 3, 3, 4, 2, 1, 0, 2, 3, 2, 2, 2, 3, 3, 3, 4, 4, 2, 3, 0, 2, 4, 2, 1, 1, 3, 0, 3, 3, 4, 4, 3, 1, 3, 3, 3, 0, 1, 0, 1, 1, 2, 3, 3, 1, 0, 3, 3, 2, 4, 3, 1, 3, 2, 3, 2, 1, 3, 4, 2, 3, 3, 0, 0, 2, 1, 0, 1, 4, 4, 4, 4, 0, 3, 4, 3, 1, 3, 3, 3, 1, 2, 1, 4, 1, 2, 0, 4, 0, 0, 0, 4, 4, 3, 0, 4, 3, 2, 2, 2, 4, 3, 2, 1, 1, 1, 2, 3, 4, 3, 1, 2, 1, 1, 1, 0, 2, 0, 3, 0, 4, 3, 2, 3, 1, 0, 4, 2, 0, 0, 3, 0, 1, 4, 3, 4, 4, 3, 1, 1, 0, 3, 0, 3, 4, 4, 1, 4, 2, 0, 2, 1, 4, 1, 2, 1, 0, 1, 4, 4, 2, 3, 0, 3, 0, 3, 3, 3, 2, 2, 4, 1, 0, 4, 3, 4, 3, 4, 1, 0, 4, 2, 1, 4, 4, 2, 0, 0, 3, 4, 1, 3, 1, 4, 3, 4, 1, 3, 0, 3, 1, 4, 3, 1, 2, 0, 0, 1, 3, 2, 3, 1, 3, 0, 0, 1, 2, 3, 4, 2, 1, 0, 3, 1, 4, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 4, 0, 3, 2, 3, 0, 0, 2, 4, 1, 1, 3, 0, 1, 4, 3, 4, 3, 0, 0, 1, 3, 4, 2, 1, 4, 0, 4, 1, 4, 3, 2, 1, 0, 4, 2, 2, 3, 4, 1, 3, 0, 2, 4, 2, 1, 3, 2, 4, 0, 3, 2, 2, 3, 2, 0, 3, 4, 0, 3, 2, 0, 4, 3, 0, 4, 2, 4, 4, 4, 2, 2, 4, 2, 1, 1, 1, 4, 1, 4, 0, 3, 0, 3, 3, 1, 3, 3, 2, 4, 1, 3, 3, 0, 1, 1, 1, 3, 1, 2, 3, 2, 1, 4, 4, 0, 2, 2, 3, 1, 1, 2, 3, 1, 3, 0, 3, 1, 3, 0, 4, 0, 3, 1, 2, 4, 2, 0, 0, 4, 0, 1, 2, 3, 2, 1, 0, 1, 0, 1, 3, 4, 4, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 4, 3, 3, 0, 4, 4, 0, 2, 1, 1, 4, 0, 3, 3, 2, 3, 3, 2, 3, 0, 4, 2, 1, 3, 0, 0, 4, 1, 3, 1, 4, 2, 3, 1, 2, 0, 3, 0, 3, 0, 4, 3, 3, 1, 0, 2, 2, 2, 1, 1, 3, 1, 4, 1, 0, 3, 4, 0, 1, 1, 0, 2, 3, 1, 0, 4, 0, 3, 2, 4, 2, 1, 4, 2, 1, 3, 4, 1, 2, 2, 2, 2, 4, 1, 1, 3, 3, 4, 1, 2, 2, 1] pubkeycol1447 = [0, 0, 3, 4, 0, 2, 1, 2, 2, 4, 2, 4, 0, 3, 4, 3, 4, 2, 3, 3, 1, 0, 1, 2, 0, 4, 4, 4, 3, 1, 0, 3, 3, 3, 0, 3, 0, 1, 1, 4, 2, 0, 4, 4, 0, 1, 2, 2, 2, 3, 1, 0, 2, 3, 1, 4, 1, 4, 0, 2, 1, 3, 1, 3, 4, 3, 0, 2, 0, 3, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 4, 1, 2, 4, 1, 0, 4, 1, 1, 2, 1, 4, 2, 4, 4, 2, 0, 4, 4, 3, 3, 2, 4, 3, 1, 0, 0, 2, 4, 3, 4, 1, 3, 3, 4, 1, 3, 1, 2, 4, 1, 2, 1, 4, 2, 0, 3, 2, 1, 3, 3, 2, 4, 4, 0, 1, 0, 3, 0, 3, 1, 2, 4, 4, 4, 3, 1, 0, 4, 4, 1, 0, 0, 0, 1, 4, 2, 1, 0, 4, 3, 4, 2, 3, 1, 1, 3, 1, 0, 0, 3, 2, 2, 0, 2, 0, 2, 4, 1, 0, 4, 4, 2, 4, 3, 1, 3, 2, 3, 4, 2, 4, 4, 0, 2, 4, 3, 2, 4, 3, 4, 2, 0, 3, 3, 4, 2, 2, 2, 1, 2, 3, 2, 2, 0, 3, 0, 4, 1, 3, 1, 0, 3, 3, 2, 4, 2, 3, 3, 0, 0, 4, 3, 1, 4, 3, 4, 4, 0, 3, 4, 0, 4, 1, 1, 1, 3, 1, 0, 1, 3, 2, 1, 0, 0, 0, 2, 4, 4, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 3, 3, 2, 1, 2, 1, 1, 0, 3, 1, 3, 2, 3, 3, 4, 4, 1, 2, 0, 2, 3, 4, 4, 3, 0, 1, 4, 4, 0, 4, 2, 2, 2, 3, 1, 3, 2, 3, 2, 4, 1, 1, 3, 3, 4, 1, 0, 4, 4, 3, 4, 0, 0, 1, 3, 1, 4, 3, 2, 0, 2, 2, 3, 0, 1, 1, 4, 2, 3, 0, 3, 0, 3, 4, 2, 3, 3, 1, 2, 1, 2, 4, 4, 3, 1, 4, 4, 2, 0, 3, 4, 2, 2, 2, 3, 2, 1, 2, 3, 1, 1, 1, 3, 1, 1, 2, 0, 3, 0, 4, 1, 4, 1, 0, 2, 1, 0, 2, 1, 1, 4, 4, 2, 0, 4, 4, 1, 3, 3, 0, 3, 2, 1, 4, 2, 0, 4, 0, 1, 3, 0, 0, 0, 0, 3, 0, 4, 0, 0, 4, 4, 0, 4, 3, 0, 1, 4, 3, 4, 1, 4, 2, 0, 0, 0, 4, 3, 4, 0, 0, 0, 0, 2, 4, 1, 1, 1, 2, 4, 4, 0, 0, 4, 1, 1, 1, 4, 1, 4, 2, 1, 2, 0, 0, 1, 2, 4, 4, 4, 1, 4, 4, 2, 3, 2, 4] pubkeycol1448 = [0, 2, 1, 4, 3, 0, 3, 0, 3, 0, 3, 0, 2, 3, 4, 2, 2, 3, 1, 1, 0, 0, 1, 4, 4, 4, 4, 4, 4, 0, 3, 1, 1, 3, 0, 2, 1, 2, 4, 3, 3, 2, 0, 2, 0, 1, 2, 3, 2, 0, 3, 3, 2, 1, 1, 2, 0, 0, 1, 3, 1, 2, 2, 3, 4, 3, 0, 3, 1, 2, 0, 4, 0, 0, 1, 3, 0, 2, 0, 1, 4, 2, 0, 0, 4, 0, 0, 1, 2, 3, 2, 3, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 4, 2, 0, 4, 2, 0, 0, 3, 3, 2, 4, 0, 1, 4, 2, 0, 2, 3, 0, 2, 1, 0, 4, 0, 4, 4, 4, 3, 0, 4, 1, 3, 2, 0, 1, 4, 0, 0, 3, 1, 2, 4, 3, 3, 4, 3, 0, 2, 4, 4, 2, 2, 2, 3, 3, 1, 3, 4, 2, 1, 2, 4, 1, 1, 0, 0, 1, 4, 1, 1, 2, 2, 4, 1, 4, 3, 0, 1, 4, 4, 4, 4, 3, 0, 0, 0, 3, 0, 4, 0, 1, 2, 3, 4, 0, 0, 0, 1, 2, 0, 2, 2, 1, 4, 4, 1, 4, 2, 3, 1, 4, 2, 0, 0, 2, 0, 2, 3, 1, 2, 1, 3, 4, 1, 2, 0, 2, 0, 4, 2, 1, 3, 2, 2, 3, 1, 4, 2, 3, 0, 2, 4, 0, 0, 4, 1, 2, 4, 1, 3, 0, 3, 2, 0, 2, 0, 2, 3, 4, 4, 3, 3, 2, 3, 4, 0, 2, 1, 4, 3, 1, 0, 0, 4, 2, 2, 0, 0, 3, 3, 2, 3, 2, 1, 0, 1, 2, 2, 4, 4, 2, 2, 0, 4, 1, 1, 1, 1, 3, 0, 3, 4, 2, 2, 3, 3, 2, 1, 3, 4, 3, 1, 4, 2, 2, 0, 4, 0, 2, 0, 2, 0, 0, 3, 3, 3, 2, 3, 0, 3, 3, 3, 1, 3, 1, 3, 1, 3, 0, 0, 1, 4, 3, 0, 3, 3, 1, 0, 1, 0, 1, 2, 3, 1, 4, 2, 3, 1, 3, 1, 0, 2, 1, 3, 0, 0, 1, 4, 4, 4, 3, 0, 3, 4, 3, 1, 2, 4, 0, 0, 4, 0, 3, 1, 1, 2, 2, 0, 3, 2, 2, 4, 1, 2, 2, 3, 4, 1, 0, 3, 3, 2, 4, 1, 0, 1, 1, 1, 2, 3, 1, 2, 0, 4, 0, 0, 4, 2, 4, 4, 4, 4, 3, 2, 3, 2, 0, 2, 0, 0, 0, 4, 0, 3, 4, 4, 0, 0, 0, 4, 1, 4, 0, 2, 4, 4, 4, 1, 1, 3, 1, 2, 2, 2, 4, 2, 4, 4, 1, 0, 4, 4, 3, 3, 3, 2, 2, 0, 4, 3, 2, 1, 1, 1, 0, 2, 4] pubkeycol1449 = [0, 3, 1, 2, 3, 4, 0, 1, 1, 1, 0, 2, 0, 4, 0, 2, 3, 4, 1, 2, 2, 0, 4, 4, 0, 0, 2, 1, 1, 2, 4, 0, 4, 4, 2, 0, 2, 3, 3, 1, 1, 4, 0, 4, 3, 3, 1, 4, 4, 2, 2, 3, 2, 4, 2, 2, 4, 1, 4, 4, 3, 4, 4, 2, 1, 2, 4, 2, 2, 3, 0, 3, 2, 1, 0, 1, 1, 4, 4, 1, 4, 0, 4, 3, 0, 0, 2, 3, 0, 3, 0, 0, 2, 3, 0, 3, 0, 4, 4, 0, 4, 0, 4, 1, 3, 2, 1, 0, 4, 3, 4, 2, 3, 0, 3, 4, 4, 1, 1, 0, 2, 4, 2, 4, 2, 0, 4, 1, 2, 4, 4, 2, 4, 0, 3, 3, 1, 1, 1, 1, 2, 1, 3, 2, 4, 0, 4, 1, 3, 2, 2, 1, 2, 2, 1, 3, 3, 3, 1, 3, 4, 3, 3, 4, 3, 4, 1, 3, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 4, 1, 2, 4, 1, 3, 0, 3, 3, 4, 3, 0, 0, 4, 4, 1, 1, 2, 4, 1, 4, 3, 3, 3, 3, 2, 2, 3, 3, 4, 2, 4, 2, 1, 4, 3, 3, 4, 0, 1, 0, 3, 1, 0, 3, 0, 3, 0, 4, 1, 2, 1, 0, 2, 4, 1, 4, 2, 3, 1, 4, 3, 2, 2, 3, 0, 2, 3, 2, 4, 3, 2, 0, 2, 4, 3, 1, 0, 0, 2, 1, 4, 4, 1, 2, 0, 1, 1, 1, 2, 3, 2, 0, 0, 2, 4, 2, 1, 0, 3, 2, 2, 1, 4, 2, 0, 2, 1, 4, 3, 3, 0, 3, 2, 4, 2, 4, 1, 1, 4, 0, 0, 3, 1, 0, 3, 2, 3, 4, 3, 3, 2, 3, 2, 1, 0, 4, 3, 1, 1, 0, 0, 1, 1, 3, 3, 2, 1, 1, 4, 2, 4, 3, 0, 4, 3, 1, 4, 1, 3, 4, 1, 4, 4, 0, 0, 4, 3, 1, 1, 0, 3, 4, 2, 0, 4, 4, 1, 4, 0, 1, 2, 0, 3, 3, 3, 3, 1, 4, 1, 0, 0, 0, 1, 0, 3, 1, 0, 3, 2, 0, 4, 2, 3, 0, 3, 3, 3, 2, 0, 1, 4, 0, 1, 0, 2, 0, 4, 3, 3, 2, 0, 3, 4, 0, 2, 3, 3, 0, 2, 4, 3, 4, 1, 1, 2, 3, 3, 2, 4, 1, 1, 2, 2, 0, 2, 3, 3, 0, 3, 4, 2, 4, 3, 1, 2, 4, 0, 3, 3, 1, 2, 2, 4, 3, 3, 3, 4, 1, 0, 1, 2, 2, 0, 0, 3, 0, 1, 3, 3, 0, 3, 4, 2, 1, 4, 0, 0, 3, 0, 0, 3, 0, 3, 4, 3, 4, 2, 0, 3, 1, 4] pubkeycol1450 = [0, 0, 3, 4, 0, 3, 1, 4, 0, 4, 1, 2, 4, 4, 3, 1, 4, 0, 0, 3, 4, 3, 2, 1, 4, 3, 0, 2, 3, 0, 0, 1, 3, 1, 2, 1, 1, 1, 0, 1, 4, 4, 0, 4, 4, 0, 2, 1, 4, 0, 2, 2, 2, 4, 4, 0, 3, 1, 2, 0, 4, 4, 4, 1, 4, 1, 4, 3, 1, 3, 4, 2, 3, 4, 4, 3, 1, 1, 2, 0, 3, 0, 3, 2, 3, 1, 0, 1, 2, 3, 1, 2, 2, 2, 1, 2, 1, 0, 3, 4, 3, 2, 0, 0, 1, 0, 3, 1, 3, 3, 4, 1, 1, 2, 1, 0, 0, 0, 2, 4, 3, 2, 2, 3, 1, 4, 4, 0, 2, 3, 4, 3, 4, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 0, 0, 3, 1, 0, 4, 2, 1, 0, 0, 1, 2, 3, 2, 4, 4, 1, 2, 0, 3, 2, 3, 1, 4, 0, 0, 1, 2, 3, 0, 3, 4, 3, 0, 3, 2, 4, 0, 1, 3, 1, 0, 3, 1, 0, 1, 1, 2, 1, 2, 4, 3, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 3, 2, 4, 4, 4, 3, 1, 4, 1, 1, 0, 3, 4, 0, 1, 0, 4, 3, 1, 2, 2, 2, 0, 3, 1, 4, 4, 1, 4, 0, 3, 1, 1, 2, 3, 4, 3, 0, 2, 1, 3, 2, 4, 0, 0, 0, 1, 0, 1, 3, 2, 0, 0, 1, 4, 0, 2, 0, 3, 2, 0, 3, 3, 2, 0, 4, 1, 1, 2, 0, 1, 1, 0, 0, 2, 3, 2, 2, 2, 0, 4, 3, 2, 2, 3, 1, 4, 0, 0, 0, 1, 4, 3, 3, 1, 0, 0, 1, 1, 2, 2, 2, 3, 1, 0, 4, 2, 3, 2, 4, 1, 0, 0, 2, 4, 2, 1, 1, 1, 1, 3, 3, 2, 3, 3, 0, 4, 1, 4, 4, 1, 1, 3, 1, 4, 1, 3, 1, 2, 3, 0, 3, 1, 1, 3, 3, 3, 3, 3, 4, 0, 1, 0, 2, 4, 4, 0, 2, 4, 3, 4, 0, 3, 0, 3, 0, 1, 3, 2, 2, 4, 1, 4, 1, 2, 3, 1, 1, 3, 4, 1, 3, 3, 2, 2, 3, 1, 3, 4, 0, 2, 4, 1, 1, 2, 3, 1, 0, 2, 1, 3, 3, 4, 2, 1, 3, 1, 1, 3, 1, 4, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 3, 4, 3, 2, 4, 1, 3, 1, 0, 2, 2, 4, 3, 3, 0, 3, 2, 1, 0, 3, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 4, 2, 4] pubkeycol1451 = [2, 1, 3, 2, 4, 0, 2, 1, 3, 1, 2, 4, 1, 2, 3, 4, 4, 4, 0, 3, 4, 0, 3, 4, 2, 2, 3, 3, 4, 0, 4, 0, 1, 4, 3, 4, 0, 3, 1, 3, 0, 4, 0, 1, 0, 2, 1, 4, 3, 1, 2, 3, 3, 4, 2, 3, 3, 4, 2, 3, 4, 3, 0, 2, 0, 2, 2, 4, 2, 1, 0, 4, 0, 0, 2, 1, 4, 0, 0, 3, 2, 4, 3, 4, 2, 1, 3, 1, 2, 0, 4, 4, 0, 3, 1, 0, 1, 2, 1, 2, 1, 4, 2, 0, 2, 2, 4, 0, 0, 3, 1, 1, 2, 0, 1, 2, 4, 3, 0, 1, 4, 1, 0, 4, 2, 3, 1, 2, 4, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 4, 2, 4, 3, 3, 2, 2, 4, 4, 2, 3, 3, 2, 4, 2, 0, 4, 4, 1, 2, 0, 4, 4, 3, 3, 4, 2, 4, 2, 1, 4, 2, 0, 4, 2, 4, 1, 3, 0, 1, 1, 4, 0, 2, 2, 1, 3, 1, 0, 2, 4, 4, 1, 1, 3, 4, 3, 0, 1, 1, 3, 4, 1, 1, 4, 0, 4, 2, 2, 3, 2, 2, 0, 4, 0, 4, 0, 3, 3, 3, 0, 2, 0, 2, 4, 4, 0, 0, 2, 4, 3, 3, 4, 4, 0, 3, 3, 2, 4, 3, 2, 4, 3, 1, 0, 0, 2, 0, 0, 2, 2, 3, 2, 0, 4, 4, 4, 0, 4, 1, 2, 1, 2, 2, 1, 4, 2, 4, 4, 3, 3, 3, 1, 1, 4, 2, 0, 1, 2, 2, 4, 0, 4, 3, 1, 3, 3, 3, 3, 0, 3, 2, 4, 1, 1, 4, 2, 3, 3, 2, 3, 0, 2, 2, 3, 0, 2, 1, 0, 1, 0, 2, 1, 0, 3, 4, 4, 3, 4, 4, 3, 1, 4, 3, 2, 2, 3, 1, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 0, 2, 3, 2, 4, 0, 0, 1, 0, 1, 1, 1, 2, 0, 4, 0, 2, 2, 4, 3, 1, 0, 3, 0, 1, 3, 0, 2, 1, 0, 2, 4, 0, 3, 3, 1, 3, 2, 3, 4, 2, 4, 0, 4, 0, 0, 1, 2, 0, 1, 3, 1, 1, 0, 0, 1, 4, 0, 4, 1, 2, 0, 1, 2, 1, 3, 1, 2, 3, 3, 3, 1, 1, 2, 2, 2, 4, 2, 0, 3, 3, 4, 0, 1, 3, 3, 2, 0, 1, 3, 4, 0, 3, 2, 4, 2, 2, 4, 4, 0, 3, 3, 0, 1, 1, 2, 3, 1, 3, 2, 0, 3, 4, 4, 2, 2, 4, 4, 4, 3, 3, 0, 0, 4, 2, 4, 3, 1, 2, 2, 2, 2, 2, 4, 1, 2, 3, 4, 2, 1, 0] pubkeycol1452 = [1, 2, 1, 4, 4, 1, 1, 0, 0, 4, 1, 3, 3, 4, 1, 3, 4, 4, 2, 2, 1, 0, 0, 1, 3, 1, 4, 2, 3, 1, 2, 1, 3, 3, 2, 3, 1, 2, 1, 4, 2, 0, 0, 3, 2, 0, 1, 0, 0, 3, 0, 1, 1, 4, 2, 1, 3, 2, 4, 3, 3, 3, 0, 2, 1, 2, 2, 3, 3, 2, 2, 3, 0, 0, 4, 0, 0, 0, 3, 2, 3, 3, 4, 1, 3, 0, 2, 2, 2, 2, 3, 2, 2, 4, 0, 1, 4, 1, 3, 3, 3, 4, 3, 2, 3, 2, 0, 0, 0, 4, 3, 4, 1, 0, 2, 3, 3, 4, 2, 2, 0, 2, 0, 4, 1, 0, 1, 0, 3, 1, 3, 3, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 3, 2, 1, 2, 2, 3, 2, 4, 3, 1, 3, 2, 1, 2, 2, 1, 2, 0, 4, 4, 3, 3, 1, 0, 3, 3, 4, 3, 2, 1, 2, 0, 4, 1, 1, 2, 4, 4, 1, 2, 2, 0, 4, 2, 2, 1, 4, 0, 1, 2, 4, 0, 0, 3, 3, 0, 3, 1, 3, 4, 3, 0, 3, 4, 3, 4, 3, 1, 0, 0, 2, 1, 0, 3, 3, 3, 3, 1, 2, 3, 0, 4, 3, 0, 0, 1, 4, 1, 4, 0, 2, 0, 2, 3, 0, 2, 0, 4, 1, 4, 3, 0, 3, 4, 3, 0, 2, 2, 3, 0, 4, 2, 3, 4, 2, 1, 3, 1, 0, 1, 0, 4, 1, 2, 1, 1, 4, 3, 0, 4, 2, 0, 1, 4, 2, 4, 4, 3, 1, 1, 4, 0, 4, 1, 4, 3, 4, 4, 2, 1, 0, 3, 3, 4, 3, 0, 0, 3, 2, 3, 3, 1, 3, 4, 2, 4, 3, 2, 2, 4, 1, 3, 1, 2, 1, 3, 3, 2, 4, 2, 3, 4, 3, 1, 3, 2, 0, 0, 4, 0, 3, 2, 3, 4, 1, 1, 1, 1, 2, 0, 1, 3, 3, 3, 2, 3, 3, 1, 2, 4, 1, 3, 0, 2, 2, 2, 3, 4, 1, 3, 0, 4, 0, 2, 4, 1, 2, 2, 1, 4, 4, 2, 1, 2, 4, 3, 1, 4, 0, 2, 3, 1, 2, 3, 2, 1, 1, 4, 0, 0, 2, 0, 2, 1, 2, 3, 4, 1, 1, 4, 3, 0, 1, 2, 1, 0, 1, 4, 3, 4, 2, 0, 3, 3, 0, 1, 0, 0, 1, 3, 1, 4, 4, 4, 1, 0, 2, 2, 0, 3, 1, 4, 3, 3, 4, 4, 3, 1, 2, 3, 4, 0, 4, 3, 3, 3, 3, 4, 3, 0, 2, 3, 1, 1, 0, 4, 4, 4, 0, 2, 1, 3, 4, 4, 3, 0, 2, 4, 1, 3, 2, 2, 0, 4, 4, 1, 1, 1] pubkeycol1453 = [1, 4, 0, 3, 2, 2, 3, 4, 0, 3, 0, 1, 0, 2, 2, 4, 2, 4, 4, 2, 2, 4, 0, 0, 2, 2, 3, 4, 2, 2, 3, 2, 2, 4, 2, 1, 3, 4, 2, 1, 0, 2, 4, 1, 3, 2, 3, 2, 3, 2, 2, 0, 2, 4, 4, 0, 1, 0, 2, 3, 1, 0, 3, 2, 1, 0, 1, 3, 1, 2, 0, 2, 1, 4, 0, 4, 2, 1, 2, 0, 0, 2, 3, 4, 1, 3, 0, 3, 2, 3, 1, 2, 0, 4, 1, 1, 3, 4, 2, 3, 0, 3, 3, 3, 2, 2, 4, 0, 0, 1, 1, 0, 2, 2, 2, 4, 0, 4, 3, 3, 2, 2, 4, 4, 3, 0, 0, 0, 3, 3, 1, 2, 4, 1, 3, 4, 2, 1, 1, 2, 1, 1, 0, 3, 4, 3, 0, 2, 1, 2, 2, 1, 4, 2, 1, 4, 0, 3, 0, 1, 0, 2, 1, 2, 1, 4, 3, 4, 1, 4, 1, 0, 3, 0, 0, 3, 0, 2, 1, 0, 4, 0, 3, 2, 2, 4, 1, 0, 1, 4, 0, 2, 2, 1, 2, 3, 2, 4, 1, 0, 4, 3, 3, 4, 1, 2, 2, 3, 2, 3, 2, 0, 0, 3, 2, 3, 4, 0, 1, 0, 1, 1, 2, 0, 1, 4, 4, 3, 2, 2, 4, 3, 0, 3, 3, 4, 4, 0, 2, 2, 1, 4, 4, 0, 1, 4, 2, 4, 0, 3, 1, 0, 0, 1, 3, 2, 4, 2, 3, 3, 0, 0, 3, 2, 2, 3, 0, 2, 1, 3, 4, 1, 3, 2, 1, 4, 0, 1, 2, 4, 4, 3, 0, 1, 3, 3, 2, 3, 0, 3, 1, 1, 2, 1, 4, 3, 2, 3, 0, 1, 2, 4, 3, 3, 2, 3, 0, 1, 2, 3, 3, 4, 0, 3, 0, 1, 0, 1, 1, 0, 2, 2, 3, 0, 2, 4, 0, 4, 4, 0, 1, 2, 2, 2, 4, 0, 0, 0, 2, 3, 4, 4, 2, 1, 4, 0, 2, 4, 0, 1, 2, 1, 2, 1, 4, 1, 4, 2, 3, 1, 4, 0, 1, 2, 1, 3, 1, 0, 1, 1, 0, 4, 4, 1, 4, 3, 1, 1, 3, 4, 1, 1, 1, 0, 1, 1, 4, 0, 4, 2, 2, 2, 3, 3, 2, 2, 3, 1, 2, 4, 3, 1, 0, 4, 1, 0, 1, 2, 4, 0, 1, 4, 0, 4, 4, 2, 2, 2, 1, 2, 3, 0, 3, 0, 1, 2, 0, 1, 0, 2, 4, 2, 3, 2, 2, 1, 3, 3, 1, 4, 3, 0, 2, 3, 4, 1, 3, 4, 2, 4, 1, 2, 4, 0, 2, 1, 3, 1, 2, 0, 3, 4, 2, 1, 3, 0, 0, 1, 3, 0, 1, 3, 1, 4, 3, 3, 0, 2, 0, 4] pubkeycol1454 = [0, 0, 3, 4, 0, 0, 1, 3, 1, 1, 3, 0, 2, 3, 1, 4, 3, 0, 4, 3, 3, 0, 4, 0, 1, 3, 4, 3, 3, 3, 2, 1, 2, 2, 2, 2, 0, 3, 0, 2, 1, 4, 3, 4, 2, 1, 0, 2, 4, 3, 0, 3, 2, 1, 3, 2, 0, 1, 4, 4, 3, 4, 2, 0, 1, 3, 4, 3, 3, 4, 1, 0, 4, 3, 3, 2, 0, 3, 0, 1, 0, 4, 2, 4, 4, 3, 3, 4, 4, 2, 3, 1, 4, 3, 4, 4, 0, 1, 4, 2, 0, 0, 1, 1, 3, 3, 0, 0, 2, 4, 4, 2, 3, 3, 3, 4, 1, 3, 4, 1, 2, 0, 4, 2, 2, 2, 2, 0, 4, 0, 1, 2, 4, 0, 0, 2, 0, 0, 3, 3, 4, 3, 4, 2, 1, 0, 1, 4, 2, 4, 1, 3, 0, 0, 1, 1, 2, 4, 4, 2, 1, 0, 4, 3, 1, 4, 4, 1, 1, 4, 0, 2, 4, 3, 2, 2, 3, 0, 0, 2, 2, 4, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 4, 1, 4, 1, 3, 3, 3, 4, 1, 0, 2, 1, 4, 0, 4, 4, 1, 2, 2, 3, 1, 4, 0, 0, 2, 1, 0, 4, 1, 2, 3, 0, 3, 4, 0, 0, 4, 4, 3, 3, 3, 1, 2, 4, 0, 0, 1, 4, 4, 3, 0, 4, 0, 0, 3, 3, 2, 2, 2, 4, 3, 2, 0, 4, 3, 2, 1, 2, 3, 1, 0, 4, 1, 2, 0, 3, 4, 3, 2, 0, 2, 1, 1, 4, 2, 0, 0, 2, 3, 4, 0, 2, 4, 4, 0, 1, 3, 3, 0, 2, 4, 2, 1, 4, 0, 0, 2, 2, 3, 4, 0, 3, 0, 1, 3, 4, 1, 4, 3, 1, 1, 2, 4, 3, 0, 2, 0, 0, 4, 3, 0, 1, 4, 4, 4, 3, 4, 1, 4, 0, 2, 0, 2, 3, 1, 3, 3, 3, 2, 0, 4, 3, 3, 0, 4, 4, 3, 2, 2, 2, 4, 1, 3, 0, 4, 4, 3, 4, 2, 4, 3, 1, 2, 0, 4, 0, 1, 3, 1, 2, 4, 2, 4, 3, 2, 0, 3, 3, 4, 2, 2, 1, 1, 2, 1, 0, 2, 3, 1, 2, 4, 0, 0, 3, 4, 4, 3, 2, 3, 2, 4, 2, 1, 0, 4, 0, 0, 3, 4, 3, 1, 1, 3, 0, 4, 1, 4, 3, 4, 3, 0, 3, 2, 4, 0, 0, 3, 2, 2, 1, 2, 1, 3, 4, 1, 1, 3, 2, 3, 3, 0, 4, 0, 1, 3, 4, 0, 4, 0, 0, 3, 0, 4, 0, 1, 4, 3, 0, 0, 2, 4, 2, 1, 0, 2, 4, 4, 2, 3, 3, 2, 3, 4, 3, 0] pubkeycol1455 = [1, 2, 0, 4, 3, 2, 0, 0, 1, 3, 3, 4, 0, 0, 3, 0, 1, 1, 3, 3, 3, 1, 0, 1, 0, 1, 2, 2, 4, 4, 1, 3, 3, 0, 0, 2, 0, 0, 4, 2, 4, 3, 3, 4, 0, 3, 2, 4, 2, 1, 2, 0, 2, 3, 4, 3, 2, 0, 3, 1, 0, 1, 1, 0, 0, 0, 3, 1, 3, 4, 2, 2, 4, 3, 0, 4, 4, 3, 3, 1, 4, 4, 1, 1, 4, 0, 2, 1, 1, 4, 2, 4, 1, 4, 1, 0, 2, 2, 3, 1, 4, 4, 1, 4, 3, 3, 0, 2, 3, 1, 1, 1, 4, 0, 4, 1, 0, 0, 3, 2, 3, 1, 3, 2, 3, 1, 0, 0, 3, 0, 3, 2, 4, 2, 3, 2, 2, 0, 2, 0, 2, 0, 1, 3, 4, 3, 3, 4, 3, 0, 4, 2, 1, 4, 0, 3, 2, 3, 3, 2, 3, 4, 3, 0, 2, 2, 3, 3, 3, 0, 4, 0, 3, 4, 4, 0, 3, 4, 2, 0, 2, 1, 0, 3, 2, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 1, 2, 4, 3, 0, 3, 3, 3, 4, 4, 3, 3, 2, 3, 2, 2, 4, 2, 0, 3, 3, 0, 3, 2, 4, 3, 3, 1, 3, 0, 2, 1, 4, 4, 2, 2, 3, 4, 0, 4, 2, 2, 2, 3, 3, 4, 0, 1, 0, 0, 3, 1, 1, 4, 1, 0, 0, 3, 1, 2, 1, 4, 2, 2, 1, 0, 2, 0, 2, 4, 3, 2, 1, 4, 0, 4, 1, 1, 1, 4, 4, 0, 2, 3, 4, 2, 1, 3, 0, 1, 0, 1, 1, 4, 3, 3, 0, 3, 1, 3, 0, 4, 2, 0, 3, 4, 3, 2, 2, 3, 4, 0, 4, 1, 2, 1, 2, 2, 3, 4, 1, 3, 0, 4, 1, 0, 0, 2, 2, 2, 3, 1, 3, 0, 3, 2, 3, 4, 0, 1, 2, 1, 0, 0, 1, 0, 3, 2, 2, 2, 4, 3, 3, 2, 4, 3, 3, 2, 0, 3, 1, 1, 4, 3, 2, 2, 0, 2, 3, 2, 3, 4, 3, 0, 3, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 3, 2, 1, 1, 0, 4, 2, 1, 4, 0, 0, 2, 4, 3, 3, 3, 3, 0, 0, 4, 3, 4, 2, 2, 2, 3, 1, 2, 0, 2, 3, 4, 0, 3, 4, 2, 4, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 3, 1, 0, 4, 4, 1, 0, 4, 2, 2, 2, 2, 4, 1, 2, 1, 0, 4, 4, 3, 3, 3, 3, 1, 4, 1, 1, 3, 4, 0, 2, 2, 1, 4, 4, 0, 3, 2, 2, 3, 3, 0, 1, 1, 4, 2, 2, 2] pubkeycol1456 = [1, 0, 2, 2, 4, 0, 0, 0, 0, 2, 0, 4, 2, 2, 2, 3, 0, 0, 1, 4, 4, 0, 2, 4, 2, 2, 4, 3, 2, 4, 3, 3, 0, 0, 2, 3, 2, 3, 1, 3, 0, 3, 4, 3, 0, 1, 2, 3, 1, 1, 3, 4, 2, 1, 4, 2, 4, 4, 4, 4, 1, 1, 3, 3, 3, 4, 3, 0, 3, 0, 3, 2, 4, 0, 2, 4, 1, 4, 0, 2, 1, 0, 3, 1, 4, 3, 0, 2, 0, 1, 1, 2, 1, 0, 0, 3, 2, 0, 4, 1, 2, 0, 1, 2, 0, 3, 4, 4, 0, 4, 1, 3, 4, 1, 3, 2, 1, 4, 2, 1, 1, 0, 3, 2, 0, 1, 3, 3, 0, 2, 1, 1, 0, 2, 4, 1, 0, 3, 4, 0, 2, 0, 0, 1, 1, 0, 3, 2, 0, 3, 3, 4, 0, 1, 3, 0, 0, 1, 0, 4, 4, 4, 2, 0, 4, 1, 3, 0, 2, 4, 1, 0, 4, 4, 0, 3, 1, 4, 4, 1, 1, 1, 1, 4, 1, 1, 3, 3, 1, 4, 2, 4, 2, 4, 4, 4, 4, 4, 4, 0, 1, 3, 1, 1, 2, 0, 1, 0, 0, 2, 3, 2, 3, 0, 2, 2, 2, 2, 4, 2, 3, 4, 1, 2, 2, 2, 0, 1, 4, 3, 3, 3, 4, 2, 3, 1, 3, 0, 2, 0, 2, 2, 0, 1, 0, 0, 4, 2, 1, 3, 4, 4, 2, 4, 1, 3, 0, 1, 0, 0, 4, 4, 3, 3, 3, 3, 2, 2, 4, 3, 2, 4, 1, 3, 4, 2, 3, 1, 3, 4, 1, 2, 4, 0, 1, 2, 1, 2, 3, 2, 0, 1, 4, 1, 4, 4, 3, 0, 3, 1, 2, 4, 3, 3, 3, 0, 0, 2, 1, 1, 4, 1, 1, 1, 3, 3, 2, 2, 1, 0, 1, 0, 2, 3, 1, 1, 3, 2, 3, 3, 3, 0, 2, 0, 2, 0, 4, 2, 4, 2, 2, 2, 0, 0, 0, 4, 0, 3, 4, 3, 3, 4, 0, 1, 2, 4, 2, 4, 3, 1, 4, 2, 3, 1, 4, 4, 4, 0, 0, 1, 0, 3, 3, 2, 2, 3, 0, 4, 1, 1, 1, 0, 3, 0, 4, 2, 0, 2, 2, 4, 3, 2, 0, 2, 2, 4, 3, 1, 0, 3, 0, 1, 0, 3, 3, 1, 1, 1, 2, 3, 4, 3, 3, 0, 4, 2, 0, 4, 3, 4, 1, 4, 0, 1, 0, 2, 1, 0, 1, 3, 4, 3, 1, 1, 2, 2, 2, 4, 4, 0, 4, 2, 1, 1, 4, 3, 0, 4, 4, 3, 3, 4, 4, 4, 3, 4, 2, 2, 2, 1, 2, 0, 2, 3, 1, 2, 3, 4, 0, 4, 1, 1, 2, 4, 3, 3, 2, 1, 4, 0] pubkeycol1457 = [0, 0, 2, 2, 3, 3, 4, 4, 4, 0, 2, 0, 2, 0, 0, 4, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 4, 3, 3, 3, 2, 0, 3, 4, 1, 4, 2, 3, 1, 2, 1, 0, 4, 4, 2, 1, 4, 3, 4, 0, 2, 2, 1, 3, 4, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 2, 3, 1, 4, 3, 2, 0, 4, 0, 0, 4, 0, 1, 0, 2, 1, 0, 2, 4, 3, 1, 2, 2, 2, 1, 1, 2, 0, 2, 3, 4, 0, 3, 3, 1, 1, 1, 4, 1, 3, 1, 0, 2, 1, 1, 1, 0, 3, 1, 4, 1, 3, 4, 0, 0, 1, 1, 3, 0, 2, 1, 2, 2, 3, 2, 4, 1, 3, 1, 1, 4, 3, 2, 4, 2, 1, 0, 3, 0, 3, 2, 1, 4, 4, 4, 4, 3, 1, 2, 2, 4, 4, 4, 0, 1, 0, 2, 3, 2, 1, 4, 1, 3, 1, 2, 2, 0, 0, 3, 3, 4, 1, 0, 1, 1, 4, 0, 0, 2, 1, 0, 1, 2, 2, 4, 4, 2, 1, 2, 0, 4, 1, 2, 3, 4, 3, 0, 2, 1, 0, 3, 4, 3, 1, 4, 1, 3, 1, 4, 4, 1, 4, 2, 3, 3, 0, 2, 3, 1, 2, 0, 3, 2, 0, 1, 1, 3, 3, 0, 0, 4, 3, 3, 3, 2, 4, 1, 3, 3, 2, 1, 1, 2, 2, 1, 1, 2, 4, 2, 0, 0, 0, 0, 4, 1, 1, 0, 2, 1, 4, 4, 4, 3, 1, 3, 3, 4, 1, 4, 0, 3, 2, 1, 4, 4, 4, 4, 1, 1, 3, 2, 2, 1, 2, 3, 1, 1, 2, 0, 1, 2, 0, 3, 2, 3, 2, 4, 2, 3, 0, 3, 2, 1, 3, 3, 4, 3, 3, 4, 2, 0, 3, 2, 4, 2, 1, 3, 3, 1, 4, 2, 2, 1, 2, 4, 4, 4, 3, 2, 2, 2, 0, 4, 4, 1, 4, 0, 3, 0, 0, 2, 4, 1, 4, 3, 3, 2, 4, 4, 4, 4, 4, 2, 2, 4, 0, 4, 3, 1, 1, 4, 3, 0, 2, 0, 0, 3, 3, 2, 0, 2, 0, 4, 0, 3, 3, 2, 4, 3, 3, 4, 2, 4, 0, 0, 0, 4, 0, 4, 4, 1, 4, 4, 1, 1, 2, 4, 0, 4, 2, 2, 0, 4, 4, 4, 3, 4, 0, 0, 3, 1, 0, 1, 3, 2, 1, 4, 1, 0, 1, 2, 3, 4, 0, 0, 1, 0, 0, 3, 1, 1, 0, 2, 4, 2, 1, 0, 0, 0, 3, 3, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 4, 1, 3, 1, 2, 4, 2, 4, 4, 1, 1, 2, 1, 4, 4, 2, 1, 4, 4, 1, 3, 0, 4, 2] pubkeycol1458 = [4, 3, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 2, 2, 0, 4, 1, 3, 1, 1, 1, 4, 4, 1, 1, 3, 3, 3, 0, 2, 4, 0, 0, 1, 4, 0, 1, 1, 4, 2, 4, 4, 4, 1, 4, 2, 0, 3, 1, 2, 3, 2, 0, 0, 4, 3, 2, 2, 2, 1, 0, 0, 4, 3, 2, 1, 4, 3, 3, 2, 0, 1, 4, 0, 3, 2, 3, 1, 2, 0, 0, 2, 3, 2, 2, 2, 2, 2, 0, 1, 2, 0, 4, 3, 2, 0, 0, 1, 0, 3, 3, 3, 2, 0, 3, 4, 2, 4, 3, 3, 3, 2, 3, 4, 1, 4, 0, 0, 2, 2, 1, 3, 3, 1, 2, 0, 4, 4, 1, 1, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 3, 1, 2, 3, 2, 4, 4, 2, 1, 4, 4, 3, 3, 1, 1, 1, 0, 4, 0, 2, 4, 2, 4, 2, 0, 4, 4, 0, 2, 0, 3, 4, 3, 3, 4, 1, 1, 3, 0, 1, 3, 4, 1, 0, 3, 3, 3, 0, 4, 2, 0, 4, 0, 2, 1, 3, 4, 0, 1, 3, 4, 2, 4, 2, 0, 4, 1, 3, 1, 0, 2, 1, 0, 3, 3, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 4, 0, 4, 3, 3, 3, 4, 2, 2, 3, 0, 1, 1, 4, 4, 0, 0, 0, 4, 1, 2, 1, 4, 3, 0, 1, 4, 1, 4, 2, 2, 2, 0, 4, 2, 4, 4, 1, 4, 1, 4, 0, 1, 1, 1, 2, 3, 0, 2, 4, 2, 1, 1, 3, 0, 2, 3, 4, 2, 3, 2, 1, 1, 0, 3, 1, 2, 4, 4, 2, 3, 3, 3, 3, 1, 4, 0, 3, 1, 2, 1, 0, 3, 4, 3, 3, 1, 1, 4, 3, 1, 3, 2, 1, 2, 4, 1, 0, 0, 2, 4, 4, 4, 4, 4, 0, 1, 3, 3, 3, 3, 3, 4, 0, 1, 0, 1, 4, 1, 3, 0, 2, 2, 0, 0, 1, 4, 3, 4, 2, 0, 4, 4, 2, 1, 2, 2, 2, 4, 1, 3, 2, 4, 2, 4, 4, 2, 3, 1, 2, 0, 1, 3, 4, 0, 1, 4, 2, 1, 4, 3, 0, 3, 0, 2, 3, 1, 1, 2, 0, 2, 3, 1, 0, 2, 4, 1, 0, 4, 0, 4, 1, 2, 0, 1, 2, 1, 2, 4, 1, 1, 4, 4, 4, 2, 2, 2, 4, 2, 2, 1, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 4, 2, 1, 1, 2, 1, 4, 2, 0, 2, 0, 0, 3, 2, 3, 4, 1, 2, 1, 2, 2, 4, 0, 2, 0, 3, 1, 3, 1, 4, 0, 4, 4, 2, 3, 3, 4, 4, 0, 3, 1, 2, 1] pubkeycol1459 = [1, 1, 1, 2, 1, 0, 1, 1, 4, 4, 4, 4, 4, 1, 4, 2, 3, 3, 1, 2, 1, 3, 3, 2, 0, 0, 0, 1, 0, 3, 2, 3, 3, 4, 4, 2, 4, 4, 0, 2, 0, 1, 2, 0, 2, 2, 0, 4, 3, 2, 0, 0, 1, 4, 1, 2, 0, 3, 4, 4, 3, 0, 1, 2, 3, 1, 2, 1, 3, 1, 0, 3, 1, 4, 4, 0, 4, 2, 1, 1, 3, 1, 0, 3, 1, 3, 1, 3, 4, 0, 2, 4, 2, 1, 3, 1, 3, 0, 0, 2, 4, 2, 2, 4, 0, 1, 2, 0, 3, 3, 4, 2, 4, 1, 1, 3, 4, 4, 3, 2, 3, 2, 1, 0, 4, 0, 4, 4, 4, 0, 4, 1, 4, 2, 1, 1, 3, 2, 1, 4, 1, 0, 3, 3, 0, 0, 2, 2, 0, 3, 2, 0, 2, 0, 4, 3, 2, 2, 2, 3, 4, 3, 4, 1, 3, 1, 4, 2, 4, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 4, 0, 1, 0, 2, 4, 3, 3, 0, 0, 4, 1, 1, 1, 3, 2, 2, 0, 2, 1, 4, 3, 3, 4, 4, 2, 3, 3, 0, 2, 2, 3, 3, 2, 4, 4, 3, 3, 4, 0, 4, 2, 1, 0, 0, 3, 4, 1, 4, 2, 1, 3, 3, 2, 0, 4, 4, 3, 0, 2, 3, 3, 4, 0, 1, 2, 1, 1, 0, 3, 4, 0, 0, 1, 1, 2, 0, 3, 4, 4, 4, 4, 2, 1, 3, 3, 3, 1, 2, 3, 4, 4, 0, 2, 3, 0, 0, 2, 1, 3, 2, 3, 4, 3, 0, 0, 1, 2, 4, 2, 0, 3, 4, 3, 4, 4, 1, 2, 2, 0, 1, 0, 1, 2, 0, 3, 4, 0, 1, 4, 1, 2, 4, 1, 3, 0, 1, 4, 1, 1, 4, 2, 0, 4, 1, 0, 4, 4, 1, 1, 0, 1, 1, 2, 3, 4, 4, 0, 4, 3, 3, 3, 3, 3, 2, 3, 1, 0, 3, 3, 1, 2, 1, 4, 2, 4, 3, 1, 1, 0, 4, 1, 4, 3, 1, 1, 4, 2, 3, 4, 0, 1, 0, 2, 1, 2, 0, 1, 0, 4, 2, 2, 3, 3, 1, 2, 1, 4, 2, 0, 2, 3, 3, 2, 2, 3, 3, 1, 2, 4, 3, 1, 3, 1, 3, 3, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 3, 1, 2, 4, 1, 0, 2, 2, 4, 3, 3, 1, 3, 4, 0, 3, 0, 4, 1, 4, 4, 3, 0, 0, 1, 4, 0, 2, 4, 1, 1, 3, 3, 2, 4, 4, 3, 3, 0, 1, 0, 1, 4, 2, 0, 4, 0, 0, 2, 2, 4, 2, 0, 2, 0, 1, 4, 0] pubkeycol1460 = [4, 4, 0, 2, 3, 0, 0, 3, 2, 3, 2, 4, 2, 4, 1, 3, 1, 3, 2, 0, 1, 4, 2, 2, 0, 4, 2, 3, 3, 3, 1, 3, 3, 3, 1, 1, 3, 1, 2, 0, 0, 0, 3, 0, 3, 4, 0, 1, 4, 1, 4, 3, 2, 2, 3, 0, 2, 0, 2, 2, 4, 4, 0, 3, 3, 0, 2, 4, 4, 1, 3, 4, 1, 1, 2, 0, 0, 4, 3, 3, 4, 4, 0, 4, 0, 3, 4, 4, 0, 0, 3, 1, 2, 4, 1, 3, 2, 3, 1, 0, 0, 2, 3, 0, 2, 1, 3, 4, 2, 0, 1, 1, 1, 0, 3, 0, 1, 0, 2, 0, 1, 1, 2, 0, 4, 2, 2, 4, 0, 2, 4, 2, 1, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 2, 3, 0, 0, 0, 2, 2, 2, 1, 3, 2, 1, 4, 4, 2, 3, 1, 0, 1, 2, 0, 4, 0, 1, 0, 3, 3, 1, 3, 2, 4, 3, 4, 4, 3, 4, 2, 4, 1, 3, 4, 0, 0, 4, 1, 3, 2, 3, 2, 3, 1, 0, 3, 1, 3, 2, 1, 1, 3, 0, 4, 4, 0, 0, 1, 4, 3, 4, 4, 3, 2, 4, 1, 4, 4, 4, 3, 4, 4, 3, 3, 1, 1, 2, 1, 3, 1, 0, 0, 4, 3, 2, 2, 2, 1, 2, 0, 1, 1, 4, 0, 4, 4, 4, 3, 2, 2, 1, 4, 4, 4, 3, 3, 1, 3, 2, 2, 1, 2, 4, 4, 1, 4, 2, 4, 4, 4, 4, 1, 3, 3, 4, 1, 1, 1, 0, 0, 3, 1, 2, 1, 0, 4, 1, 1, 3, 1, 3, 3, 2, 4, 3, 2, 4, 4, 2, 2, 3, 4, 3, 4, 3, 1, 1, 2, 0, 3, 3, 4, 4, 3, 0, 1, 0, 4, 1, 1, 0, 2, 1, 0, 0, 3, 0, 0, 4, 3, 3, 4, 2, 4, 3, 3, 0, 4, 3, 0, 0, 0, 4, 1, 0, 4, 2, 1, 3, 3, 1, 3, 0, 2, 4, 0, 0, 1, 2, 1, 4, 0, 2, 2, 2, 1, 2, 3, 2, 2, 0, 4, 2, 2, 4, 3, 0, 3, 4, 3, 1, 3, 3, 2, 4, 3, 1, 2, 4, 3, 2, 3, 1, 2, 4, 0, 4, 2, 4, 3, 3, 1, 1, 3, 2, 1, 0, 4, 1, 2, 4, 3, 4, 4, 3, 2, 4, 2, 3, 1, 0, 3, 3, 0, 1, 2, 2, 0, 1, 1, 0, 4, 2, 3, 3, 2, 3, 2, 3, 4, 3, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 3, 2, 1, 3, 0, 1, 2, 1, 3, 2, 0, 1, 0, 3, 1, 3, 2, 3, 3, 3, 0, 0, 0, 3, 0, 0, 4, 3] pubkeycol1461 = [1, 0, 2, 4, 0, 2, 0, 0, 0, 3, 2, 0, 0, 2, 4, 4, 2, 1, 4, 4, 3, 1, 2, 1, 1, 1, 4, 3, 3, 3, 2, 2, 2, 3, 3, 0, 4, 0, 1, 0, 3, 4, 4, 2, 2, 4, 3, 2, 4, 3, 1, 4, 3, 2, 2, 4, 1, 1, 4, 0, 4, 3, 2, 1, 1, 1, 4, 3, 0, 1, 0, 3, 1, 1, 2, 2, 3, 3, 1, 4, 0, 3, 3, 4, 1, 4, 4, 0, 1, 1, 1, 4, 0, 4, 4, 2, 0, 4, 1, 4, 3, 2, 4, 3, 0, 2, 3, 2, 2, 4, 2, 3, 2, 2, 2, 1, 2, 3, 0, 4, 2, 0, 2, 3, 0, 1, 3, 4, 3, 0, 2, 2, 3, 0, 4, 2, 2, 2, 4, 2, 3, 0, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 4, 1, 3, 3, 4, 2, 0, 4, 2, 3, 1, 0, 1, 1, 4, 4, 2, 3, 4, 2, 1, 3, 4, 2, 2, 2, 4, 2, 3, 0, 1, 1, 2, 1, 1, 4, 2, 3, 0, 3, 2, 4, 1, 3, 4, 3, 1, 3, 0, 1, 4, 3, 2, 3, 2, 4, 4, 1, 4, 3, 3, 2, 0, 0, 1, 2, 3, 4, 1, 3, 3, 0, 0, 1, 0, 3, 2, 3, 4, 0, 4, 2, 3, 3, 2, 1, 2, 4, 1, 2, 4, 1, 4, 0, 4, 0, 3, 3, 4, 1, 2, 2, 1, 4, 3, 0, 2, 4, 0, 4, 3, 3, 0, 4, 0, 0, 2, 0, 2, 3, 0, 4, 3, 0, 4, 2, 2, 1, 0, 2, 3, 2, 4, 2, 3, 2, 3, 2, 0, 2, 1, 0, 4, 0, 2, 2, 3, 3, 0, 0, 3, 4, 3, 2, 3, 3, 4, 2, 0, 4, 0, 0, 0, 4, 1, 3, 0, 4, 1, 2, 2, 3, 3, 4, 3, 2, 1, 3, 4, 4, 0, 3, 4, 2, 2, 1, 1, 4, 2, 1, 3, 0, 3, 3, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 3, 3, 0, 3, 1, 2, 0, 4, 2, 0, 1, 0, 2, 3, 4, 3, 1, 3, 0, 4, 0, 2, 2, 1, 3, 3, 0, 0, 2, 2, 4, 0, 0, 0, 3, 1, 3, 0, 3, 2, 2, 4, 4, 1, 0, 1, 2, 1, 4, 4, 0, 4, 0, 1, 0, 1, 0, 1, 3, 2, 1, 1, 1, 0, 4, 0, 3, 1, 3, 0, 4, 2, 0, 2, 0, 2, 2, 3, 2, 0, 4, 1, 3, 3, 2, 2, 2, 0, 1, 4, 2, 1, 3, 1, 1, 0, 0, 2, 4, 0, 2, 4, 2, 3, 0, 4, 3, 2, 2, 4, 0, 0, 3, 0, 3, 2, 1, 2, 0, 1, 0, 0, 3] pubkeycol1462 = [1, 3, 2, 4, 0, 3, 4, 1, 2, 2, 2, 1, 4, 3, 0, 4, 1, 2, 4, 1, 0, 0, 4, 1, 2, 3, 3, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 1, 4, 3, 0, 1, 1, 1, 1, 2, 4, 0, 1, 1, 1, 0, 1, 3, 2, 0, 1, 3, 2, 2, 2, 1, 2, 2, 1, 0, 3, 3, 3, 2, 4, 2, 2, 3, 4, 3, 3, 1, 3, 4, 2, 3, 0, 0, 2, 4, 1, 0, 0, 1, 2, 4, 1, 2, 4, 3, 4, 0, 0, 2, 4, 0, 0, 3, 0, 0, 4, 4, 2, 0, 4, 2, 1, 4, 3, 0, 3, 3, 1, 4, 3, 4, 4, 0, 1, 1, 2, 1, 3, 3, 2, 3, 1, 0, 4, 3, 0, 3, 1, 1, 4, 1, 1, 4, 0, 4, 2, 1, 1, 3, 4, 3, 1, 2, 3, 4, 3, 1, 2, 2, 0, 1, 4, 2, 0, 4, 3, 4, 0, 0, 3, 2, 4, 1, 0, 4, 2, 2, 2, 2, 1, 1, 2, 0, 0, 4, 4, 0, 4, 3, 1, 4, 2, 3, 3, 3, 2, 2, 4, 0, 4, 2, 4, 0, 2, 3, 1, 3, 1, 1, 3, 2, 2, 4, 3, 4, 0, 1, 0, 0, 1, 4, 4, 3, 4, 2, 3, 0, 3, 2, 3, 4, 3, 2, 4, 0, 2, 2, 2, 0, 0, 3, 4, 3, 2, 0, 4, 2, 4, 3, 1, 3, 1, 2, 0, 4, 4, 1, 2, 1, 2, 3, 2, 0, 3, 2, 2, 3, 3, 3, 3, 3, 1, 4, 1, 2, 1, 2, 0, 1, 4, 2, 0, 3, 2, 3, 4, 0, 1, 0, 2, 3, 4, 2, 4, 4, 2, 3, 4, 1, 2, 3, 4, 0, 1, 2, 2, 4, 2, 2, 4, 4, 3, 3, 1, 1, 3, 1, 0, 0, 3, 2, 3, 0, 0, 1, 1, 1, 0, 0, 1, 4, 3, 3, 2, 0, 3, 2, 1, 2, 3, 3, 0, 3, 0, 0, 2, 1, 4, 2, 0, 2, 4, 2, 1, 3, 1, 3, 1, 2, 3, 3, 0, 3, 0, 1, 4, 3, 0, 4, 2, 1, 0, 4, 3, 2, 0, 3, 0, 2, 0, 4, 3, 1, 2, 2, 1, 2, 0, 4, 3, 1, 1, 3, 3, 3, 4, 4, 2, 0, 2, 2, 3, 3, 4, 2, 0, 0, 3, 1, 4, 0, 3, 0, 4, 3, 2, 0, 1, 3, 4, 4, 3, 4, 3, 1, 4, 3, 1, 3, 1, 1, 0, 2, 1, 2, 3, 1, 1, 3, 3, 3, 0, 3, 1, 0, 4, 2, 0, 1, 0, 0, 0, 1, 4, 3, 3, 0, 4, 1, 0, 1, 3, 4, 2, 0, 0, 4, 4, 0, 3, 1, 1, 3, 1, 1, 0, 3, 4, 1] pubkeycol1463 = [2, 2, 4, 2, 3, 1, 3, 3, 1, 2, 1, 3, 2, 4, 3, 3, 4, 2, 0, 2, 1, 1, 1, 0, 1, 0, 4, 2, 2, 4, 4, 3, 3, 3, 1, 2, 1, 3, 0, 2, 2, 3, 2, 2, 4, 1, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 1, 0, 4, 4, 1, 1, 2, 4, 0, 0, 4, 2, 3, 4, 2, 4, 2, 4, 2, 2, 1, 1, 1, 4, 1, 4, 4, 2, 2, 3, 1, 2, 0, 1, 0, 1, 2, 1, 4, 3, 1, 4, 4, 0, 2, 0, 2, 0, 3, 1, 4, 3, 1, 4, 1, 0, 1, 0, 2, 2, 2, 3, 2, 3, 0, 3, 1, 3, 1, 1, 4, 4, 3, 1, 4, 3, 1, 3, 4, 4, 0, 0, 0, 4, 1, 2, 1, 0, 4, 4, 3, 4, 1, 3, 4, 3, 4, 0, 3, 0, 0, 3, 3, 3, 3, 0, 4, 4, 3, 1, 2, 3, 0, 1, 4, 2, 2, 3, 0, 1, 0, 3, 4, 1, 1, 3, 1, 3, 4, 4, 4, 2, 2, 4, 2, 1, 2, 4, 1, 4, 0, 2, 0, 3, 1, 3, 3, 1, 3, 1, 1, 1, 4, 4, 2, 0, 3, 2, 4, 2, 4, 2, 1, 3, 4, 4, 4, 4, 4, 2, 2, 0, 1, 1, 1, 3, 2, 0, 3, 0, 2, 2, 2, 2, 1, 0, 3, 4, 3, 4, 3, 2, 3, 3, 1, 1, 3, 4, 4, 2, 3, 1, 2, 4, 4, 1, 0, 0, 2, 0, 0, 4, 4, 0, 4, 3, 3, 4, 0, 0, 4, 0, 3, 2, 2, 4, 2, 0, 4, 0, 4, 3, 4, 4, 0, 4, 4, 1, 3, 3, 0, 2, 4, 0, 4, 1, 0, 1, 1, 4, 0, 1, 3, 4, 0, 1, 4, 4, 1, 1, 0, 4, 2, 2, 3, 2, 0, 4, 2, 2, 4, 4, 1, 2, 0, 1, 0, 0, 1, 2, 4, 1, 3, 0, 1, 2, 3, 0, 2, 0, 0, 2, 4, 1, 1, 4, 4, 2, 2, 3, 0, 4, 4, 1, 4, 4, 4, 1, 3, 1, 4, 0, 2, 1, 1, 2, 4, 2, 1, 4, 3, 0, 4, 3, 4, 0, 3, 3, 4, 3, 4, 0, 1, 3, 4, 0, 3, 0, 4, 2, 0, 1, 2, 0, 3, 3, 1, 4, 1, 3, 1, 1, 4, 4, 0, 3, 4, 0, 0, 1, 2, 2, 0, 3, 4, 0, 0, 0, 0, 0, 4, 3, 0, 0, 4, 1, 2, 3, 4, 3, 1, 4, 4, 3, 2, 1, 3, 0, 1, 0, 1, 1, 2, 2, 3, 0, 1, 4, 2, 3, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 3, 0, 3, 3, 0, 4, 0, 2, 2] pubkeycol1464 = [3, 3, 0, 3, 3, 3, 2, 0, 3, 1, 1, 4, 0, 3, 1, 4, 4, 2, 2, 0, 2, 3, 4, 2, 2, 1, 0, 2, 4, 4, 3, 2, 1, 1, 3, 3, 2, 0, 3, 0, 3, 3, 3, 3, 2, 4, 3, 2, 4, 3, 3, 4, 3, 2, 4, 2, 0, 4, 2, 3, 1, 4, 1, 2, 2, 3, 3, 0, 4, 3, 3, 4, 0, 2, 1, 0, 4, 1, 2, 0, 3, 3, 3, 1, 3, 2, 4, 0, 4, 3, 2, 3, 3, 2, 1, 3, 3, 1, 4, 0, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 0, 0, 3, 4, 1, 0, 1, 3, 1, 0, 4, 2, 0, 3, 4, 0, 1, 0, 3, 2, 2, 3, 0, 1, 0, 2, 3, 2, 1, 0, 1, 1, 2, 3, 2, 1, 2, 2, 4, 3, 3, 4, 0, 2, 1, 1, 4, 4, 0, 0, 4, 3, 0, 0, 1, 3, 0, 2, 3, 0, 0, 4, 2, 3, 2, 2, 4, 3, 3, 4, 2, 0, 1, 0, 3, 0, 0, 1, 3, 1, 2, 0, 3, 0, 0, 4, 1, 0, 1, 2, 1, 0, 1, 2, 2, 3, 0, 1, 0, 0, 1, 3, 2, 3, 1, 2, 1, 1, 4, 4, 2, 0, 0, 0, 4, 2, 1, 0, 2, 0, 3, 4, 0, 0, 1, 0, 3, 4, 4, 4, 2, 3, 1, 1, 3, 4, 2, 1, 1, 0, 0, 4, 4, 0, 3, 0, 2, 2, 0, 0, 1, 1, 2, 4, 4, 1, 1, 3, 4, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 3, 0, 3, 0, 3, 4, 3, 2, 1, 1, 2, 3, 1, 3, 0, 0, 3, 3, 0, 2, 0, 2, 4, 2, 3, 0, 0, 3, 4, 4, 1, 3, 2, 3, 2, 0, 1, 3, 3, 4, 1, 4, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 4, 2, 3, 3, 4, 1, 1, 2, 0, 0, 1, 3, 2, 0, 2, 4, 2, 4, 4, 4, 2, 4, 1, 3, 0, 3, 1, 1, 1, 3, 3, 4, 4, 3, 2, 3, 4, 0, 3, 1, 4, 2, 3, 4, 2, 1, 1, 0, 4, 4, 1, 4, 4, 3, 4, 0, 1, 4, 4, 0, 2, 4, 2, 1, 0, 4, 1, 4, 2, 1, 1, 0, 1, 1, 3, 1, 2, 4, 1, 1, 3, 3, 3, 0, 4, 4, 0, 1, 0, 1, 4, 0, 1, 0, 3, 3, 4, 3, 4, 0, 4, 4, 2, 0, 4, 2, 1, 1, 2, 2, 0, 1, 4, 3, 3, 1, 3, 2, 2, 1, 3, 3] pubkeycol1465 = [2, 1, 2, 0, 4, 4, 4, 1, 0, 1, 2, 1, 0, 3, 3, 4, 0, 2, 4, 2, 1, 1, 4, 0, 2, 4, 0, 2, 0, 3, 2, 1, 2, 0, 4, 2, 1, 0, 0, 4, 1, 1, 0, 0, 0, 3, 4, 0, 4, 0, 3, 3, 1, 2, 2, 0, 4, 3, 2, 2, 0, 3, 2, 2, 4, 0, 4, 4, 2, 4, 1, 2, 2, 4, 2, 2, 0, 1, 4, 3, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 3, 2, 3, 3, 0, 0, 1, 1, 1, 0, 3, 0, 1, 0, 3, 1, 3, 1, 0, 3, 3, 1, 2, 1, 4, 4, 0, 0, 3, 4, 2, 4, 2, 1, 3, 0, 4, 3, 0, 3, 0, 4, 1, 3, 4, 3, 2, 0, 1, 2, 3, 4, 3, 3, 2, 1, 4, 0, 4, 2, 1, 4, 1, 1, 0, 1, 0, 3, 3, 1, 0, 4, 0, 1, 1, 2, 0, 1, 1, 0, 3, 2, 0, 2, 1, 0, 4, 1, 1, 4, 0, 0, 2, 1, 2, 0, 1, 4, 2, 2, 1, 0, 3, 2, 0, 3, 1, 2, 0, 1, 2, 3, 3, 2, 0, 4, 2, 2, 1, 0, 0, 0, 1, 4, 0, 3, 2, 2, 1, 0, 1, 2, 2, 3, 0, 3, 4, 4, 2, 4, 1, 0, 2, 2, 2, 0, 2, 2, 4, 4, 3, 1, 2, 3, 2, 3, 2, 2, 3, 3, 1, 4, 2, 2, 1, 1, 4, 2, 3, 1, 0, 4, 0, 4, 1, 0, 2, 2, 2, 4, 1, 2, 2, 0, 0, 4, 1, 2, 2, 1, 2, 1, 3, 4, 1, 1, 2, 2, 4, 2, 0, 4, 4, 4, 4, 1, 2, 0, 4, 4, 0, 3, 1, 0, 2, 1, 4, 4, 1, 4, 0, 2, 0, 4, 1, 4, 3, 4, 2, 0, 2, 2, 2, 0, 1, 1, 2, 3, 2, 2, 4, 1, 3, 1, 1, 2, 1, 1, 2, 1, 2, 1, 4, 2, 3, 0, 2, 3, 3, 4, 1, 3, 2, 0, 0, 3, 0, 2, 0, 0, 3, 1, 1, 1, 2, 3, 3, 1, 1, 3, 3, 4, 2, 0, 4, 1, 4, 4, 2, 2, 4, 4, 2, 2, 2, 3, 2, 0, 3, 4, 1, 4, 3, 4, 1, 3, 0, 0, 0, 4, 3, 4, 0, 1, 2, 1, 2, 0, 3, 2, 4, 1, 0, 4, 2, 0, 4, 1, 1, 1, 3, 2, 0, 4, 4, 2, 2, 2, 2, 1, 3, 4, 2, 4, 4, 3, 4, 2, 4, 2, 4, 1, 2, 3, 1, 4, 4, 3, 1, 1, 4, 2, 2, 1, 3, 3, 4, 3, 1, 2, 3, 0, 3, 4, 3, 0, 4, 2, 3, 1, 1, 3, 1, 0, 2, 4, 3] pubkeycol1466 = [0, 3, 2, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 3, 4, 2, 2, 0, 3, 0, 2, 2, 1, 2, 3, 2, 0, 0, 0, 4, 1, 2, 3, 1, 3, 0, 2, 4, 0, 3, 1, 1, 1, 2, 4, 0, 0, 3, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 4, 3, 0, 2, 4, 2, 0, 0, 4, 1, 4, 4, 4, 1, 3, 4, 3, 2, 3, 4, 1, 1, 4, 4, 1, 4, 4, 4, 4, 1, 3, 1, 0, 3, 3, 1, 4, 2, 4, 3, 3, 2, 0, 0, 2, 3, 2, 2, 1, 2, 4, 2, 1, 4, 2, 3, 4, 4, 3, 1, 4, 2, 0, 4, 1, 1, 2, 1, 4, 4, 4, 1, 1, 2, 0, 1, 0, 4, 1, 3, 0, 2, 3, 2, 1, 3, 3, 1, 0, 0, 3, 1, 4, 4, 4, 3, 4, 3, 2, 1, 3, 1, 1, 0, 0, 1, 0, 1, 3, 0, 3, 0, 4, 1, 2, 4, 4, 0, 3, 0, 1, 0, 0, 3, 3, 0, 1, 4, 1, 3, 4, 2, 0, 3, 2, 1, 1, 3, 1, 3, 4, 2, 0, 0, 2, 1, 2, 0, 2, 4, 2, 2, 0, 0, 0, 0, 2, 0, 2, 4, 1, 4, 0, 1, 1, 3, 0, 3, 1, 1, 4, 1, 2, 2, 0, 4, 0, 3, 2, 0, 3, 0, 2, 0, 2, 0, 1, 4, 0, 2, 4, 3, 1, 1, 4, 0, 1, 4, 2, 1, 1, 3, 0, 4, 0, 0, 0, 1, 0, 2, 4, 2, 3, 0, 1, 2, 3, 1, 2, 2, 3, 0, 3, 4, 1, 4, 1, 2, 1, 3, 0, 1, 0, 1, 1, 0, 4, 3, 2, 4, 1, 1, 0, 3, 3, 3, 1, 4, 3, 2, 0, 0, 2, 1, 0, 3, 3, 3, 0, 3, 2, 0, 1, 1, 2, 1, 4, 2, 2, 0, 2, 4, 3, 3, 0, 2, 3, 0, 0, 4, 0, 4, 0, 2, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 3, 4, 3, 3, 3, 4, 4, 1, 0, 3, 3, 2, 4, 3, 4, 2, 0, 2, 0, 2, 3, 3, 0, 1, 0, 2, 4, 3, 1, 3, 3, 2, 2, 2, 4, 1, 2, 0, 1, 0, 3, 3, 2, 2, 1, 2, 3, 0, 4, 0, 0, 3, 0, 3, 4, 0, 4, 0, 0, 2, 3, 2, 1, 2, 3, 2, 2, 3, 4, 4, 4, 1, 4, 1, 1, 1, 3, 1, 3, 0, 3, 1, 2, 0, 2, 3, 2, 4, 1, 2, 3, 1, 4, 3, 1, 3, 2, 3, 4, 2, 2, 1, 4, 3, 0, 4, 1, 3, 1, 0, 0, 4, 3, 3, 4, 3, 3, 1, 1, 3, 1, 3, 1, 2, 2, 1, 1, 0] pubkeycol1467 = [0, 0, 0, 0, 3, 0, 1, 3, 3, 2, 3, 4, 0, 1, 3, 3, 3, 0, 1, 4, 0, 2, 2, 0, 1, 3, 3, 4, 2, 0, 0, 0, 1, 2, 4, 1, 1, 3, 1, 2, 0, 0, 3, 1, 2, 3, 2, 4, 0, 2, 0, 2, 1, 3, 2, 0, 0, 4, 2, 3, 3, 3, 0, 1, 4, 3, 2, 2, 2, 1, 2, 4, 3, 3, 0, 2, 0, 4, 2, 4, 0, 0, 0, 1, 4, 3, 0, 3, 1, 1, 3, 1, 2, 3, 4, 0, 0, 4, 1, 4, 1, 4, 2, 3, 1, 2, 1, 1, 2, 2, 2, 3, 2, 4, 1, 4, 3, 0, 4, 0, 0, 1, 1, 1, 1, 4, 0, 1, 3, 2, 3, 2, 1, 3, 3, 2, 0, 2, 1, 4, 4, 4, 4, 2, 0, 2, 3, 0, 2, 3, 4, 1, 3, 0, 2, 0, 2, 2, 2, 0, 3, 1, 2, 2, 4, 0, 4, 3, 0, 4, 1, 1, 1, 3, 2, 3, 4, 4, 3, 1, 4, 3, 0, 4, 4, 4, 2, 4, 4, 0, 3, 0, 3, 4, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 4, 1, 4, 0, 4, 4, 3, 2, 2, 4, 4, 2, 0, 3, 4, 0, 3, 4, 0, 1, 1, 3, 1, 1, 0, 4, 0, 2, 0, 3, 1, 2, 2, 0, 1, 1, 0, 0, 2, 3, 2, 2, 4, 2, 4, 3, 1, 4, 1, 2, 0, 2, 0, 4, 1, 2, 0, 0, 2, 2, 3, 0, 4, 0, 4, 0, 3, 3, 3, 4, 0, 1, 3, 3, 1, 0, 0, 1, 0, 1, 1, 2, 0, 4, 4, 1, 1, 3, 4, 0, 4, 4, 1, 0, 3, 4, 0, 3, 0, 0, 2, 1, 2, 4, 1, 3, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 3, 3, 3, 2, 2, 4, 3, 2, 0, 1, 0, 3, 3, 1, 3, 3, 0, 1, 2, 0, 2, 4, 0, 4, 1, 2, 3, 3, 0, 3, 3, 0, 0, 4, 0, 3, 3, 3, 3, 1, 2, 0, 3, 2, 0, 4, 2, 1, 3, 1, 1, 1, 3, 0, 0, 4, 0, 3, 0, 2, 2, 1, 3, 3, 3, 1, 1, 3, 4, 2, 4, 1, 0, 0, 4, 2, 3, 0, 2, 2, 1, 0, 4, 2, 1, 1, 0, 0, 2, 1, 0, 4, 4, 3, 0, 3, 1, 2, 3, 2, 4, 4, 2, 3, 1, 4, 3, 3, 1, 1, 4, 0, 4, 4, 1, 1, 0, 3, 4, 3, 2, 0, 4, 2, 2, 2, 4, 2, 3, 3, 2, 0, 3, 4, 4, 1, 0, 1, 3, 3, 2, 1, 0, 0, 1, 2, 3, 1, 4, 2, 0, 2, 1, 1, 3, 4, 0, 2, 0] pubkeycol1468 = [0, 4, 4, 4, 1, 2, 0, 4, 0, 3, 1, 2, 4, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 3, 4, 4, 2, 4, 0, 1, 4, 1, 2, 0, 1, 1, 4, 3, 0, 1, 3, 1, 4, 1, 3, 0, 0, 3, 1, 4, 4, 3, 4, 3, 1, 3, 0, 1, 0, 2, 2, 3, 2, 3, 0, 4, 4, 1, 3, 3, 0, 2, 1, 1, 2, 1, 1, 4, 1, 3, 4, 2, 3, 0, 2, 2, 3, 4, 3, 0, 4, 2, 1, 2, 4, 0, 1, 4, 1, 3, 3, 0, 4, 3, 0, 3, 0, 0, 2, 0, 4, 0, 2, 1, 4, 3, 1, 2, 4, 3, 2, 2, 3, 3, 3, 4, 2, 1, 0, 4, 4, 4, 1, 0, 2, 0, 1, 0, 0, 3, 1, 2, 1, 0, 4, 3, 2, 4, 3, 0, 1, 2, 4, 2, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 0, 1, 2, 1, 3, 0, 3, 4, 2, 3, 4, 3, 3, 3, 1, 2, 2, 1, 3, 3, 0, 2, 4, 2, 2, 1, 1, 1, 4, 1, 1, 2, 1, 3, 4, 3, 4, 3, 3, 0, 0, 1, 4, 4, 3, 4, 2, 3, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 2, 0, 3, 4, 4, 1, 4, 4, 1, 0, 3, 2, 0, 4, 2, 4, 4, 4, 1, 1, 2, 4, 3, 3, 2, 0, 2, 3, 0, 4, 1, 4, 0, 4, 2, 0, 4, 0, 3, 1, 1, 2, 2, 3, 0, 0, 1, 0, 2, 2, 1, 0, 2, 3, 2, 0, 2, 2, 1, 4, 3, 0, 0, 0, 3, 3, 1, 4, 3, 2, 2, 2, 4, 2, 3, 3, 3, 3, 3, 1, 3, 1, 2, 3, 0, 4, 3, 4, 1, 3, 1, 1, 2, 4, 4, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 4, 2, 4, 2, 1, 4, 2, 4, 1, 2, 1, 3, 2, 4, 2, 2, 2, 0, 4, 0, 2, 0, 3, 4, 4, 3, 4, 2, 2, 2, 2, 3, 0, 2, 0, 4, 4, 3, 3, 3, 3, 4, 0, 2, 3, 2, 0, 4, 3, 1, 1, 4, 4, 4, 1, 0, 1, 3, 3, 2, 1, 4, 3, 0, 3, 0, 4, 1, 3, 1, 4, 1, 0, 3, 1, 0, 1, 0, 1, 2, 0, 0, 4, 3, 4, 0, 4, 2, 2, 3, 2, 4, 0, 2, 1, 4, 0, 3, 4, 3, 1, 0, 4, 4, 1, 1, 1, 1, 4, 3, 0, 0, 1, 3, 1, 2, 3, 0, 2, 0, 4, 2, 4, 1, 1, 2, 3, 1, 2, 0, 3, 1, 3, 3, 2, 2, 4, 4, 0, 4, 4, 3, 0, 4, 2, 1, 2, 0] pubkeycol1469 = [2, 0, 3, 4, 2, 4, 3, 3, 3, 4, 4, 2, 2, 1, 1, 0, 0, 4, 2, 4, 4, 1, 0, 0, 2, 4, 2, 0, 2, 3, 2, 3, 3, 0, 4, 1, 1, 2, 1, 4, 3, 2, 1, 1, 4, 4, 0, 4, 4, 1, 4, 0, 3, 0, 4, 2, 2, 0, 2, 2, 1, 0, 0, 3, 3, 3, 2, 0, 2, 4, 1, 3, 0, 2, 2, 3, 3, 4, 3, 1, 3, 1, 3, 4, 2, 3, 3, 1, 4, 3, 4, 3, 1, 4, 1, 4, 1, 3, 3, 2, 3, 1, 2, 3, 1, 4, 1, 0, 0, 0, 1, 2, 2, 0, 3, 4, 4, 0, 4, 0, 3, 2, 2, 4, 2, 1, 2, 0, 2, 0, 4, 2, 0, 2, 0, 4, 2, 2, 1, 2, 1, 0, 0, 3, 4, 1, 1, 2, 1, 0, 4, 1, 4, 3, 0, 4, 4, 0, 0, 1, 4, 3, 3, 2, 1, 2, 3, 4, 2, 3, 3, 0, 4, 2, 2, 3, 0, 1, 3, 1, 4, 0, 2, 4, 0, 4, 4, 2, 4, 0, 2, 4, 3, 4, 0, 0, 1, 3, 4, 2, 2, 0, 4, 3, 4, 2, 4, 0, 2, 3, 2, 4, 2, 1, 0, 2, 0, 1, 0, 0, 3, 3, 1, 3, 0, 4, 3, 0, 0, 3, 4, 2, 0, 2, 4, 1, 1, 2, 1, 2, 4, 0, 3, 2, 2, 4, 1, 1, 3, 1, 3, 2, 1, 0, 4, 2, 2, 2, 2, 1, 2, 3, 0, 1, 4, 2, 0, 2, 0, 4, 4, 3, 2, 2, 4, 4, 1, 4, 2, 2, 4, 4, 2, 4, 2, 0, 1, 3, 0, 2, 2, 4, 2, 4, 1, 0, 4, 3, 2, 2, 4, 4, 3, 0, 1, 2, 0, 4, 3, 0, 2, 4, 3, 1, 2, 4, 2, 1, 3, 1, 1, 3, 2, 2, 1, 1, 4, 3, 3, 1, 1, 0, 2, 4, 0, 0, 4, 0, 1, 3, 0, 4, 1, 0, 3, 2, 2, 4, 1, 1, 3, 3, 2, 0, 3, 1, 2, 2, 2, 0, 0, 3, 1, 4, 4, 3, 0, 3, 1, 3, 2, 1, 2, 1, 2, 0, 1, 3, 0, 1, 0, 0, 2, 1, 0, 4, 4, 2, 3, 0, 2, 0, 0, 3, 4, 4, 1, 0, 2, 0, 1, 2, 0, 3, 1, 2, 1, 2, 0, 4, 4, 2, 4, 1, 3, 3, 0, 3, 0, 1, 0, 0, 3, 2, 4, 1, 3, 3, 1, 3, 1, 1, 2, 3, 1, 0, 2, 2, 2, 1, 3, 2, 0, 4, 0, 1, 1, 1, 3, 2, 2, 2, 3, 4, 3, 2, 4, 0, 0, 4, 0, 0, 2, 0, 0, 3, 3, 0, 4, 2, 3, 2, 0, 3, 0, 2, 0, 3, 4, 4] pubkeycol1470 = [1, 1, 4, 0, 3, 3, 4, 4, 2, 1, 0, 3, 4, 3, 1, 2, 0, 4, 1, 1, 3, 0, 1, 3, 0, 1, 3, 0, 4, 0, 3, 4, 1, 4, 4, 0, 2, 2, 0, 3, 3, 1, 4, 0, 1, 4, 2, 0, 4, 2, 1, 3, 3, 0, 1, 0, 1, 2, 3, 3, 4, 2, 1, 3, 2, 3, 1, 3, 3, 0, 2, 3, 4, 3, 4, 2, 0, 3, 1, 0, 2, 2, 1, 4, 4, 0, 1, 3, 0, 0, 2, 4, 0, 2, 0, 0, 2, 4, 4, 4, 2, 1, 4, 1, 4, 0, 1, 0, 1, 0, 2, 2, 1, 3, 2, 2, 4, 0, 2, 4, 0, 3, 3, 0, 2, 1, 3, 2, 1, 2, 3, 4, 4, 4, 4, 1, 2, 0, 0, 2, 2, 1, 1, 3, 0, 2, 1, 2, 2, 1, 3, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 3, 1, 3, 2, 3, 4, 0, 4, 1, 0, 0, 1, 2, 2, 0, 2, 0, 4, 3, 0, 3, 3, 3, 3, 2, 1, 2, 3, 4, 0, 2, 1, 3, 3, 1, 2, 4, 2, 2, 4, 2, 4, 1, 3, 4, 0, 2, 2, 3, 4, 0, 0, 2, 3, 2, 0, 4, 4, 3, 3, 3, 3, 0, 2, 2, 4, 4, 2, 2, 3, 0, 0, 2, 2, 2, 3, 0, 1, 0, 0, 1, 2, 4, 0, 3, 2, 3, 0, 3, 2, 3, 0, 0, 2, 3, 2, 2, 1, 4, 4, 1, 0, 3, 4, 0, 4, 3, 4, 3, 0, 2, 3, 2, 2, 0, 0, 2, 1, 1, 4, 2, 3, 0, 4, 3, 0, 4, 2, 2, 1, 3, 1, 1, 2, 4, 2, 4, 0, 0, 4, 1, 3, 1, 2, 4, 1, 2, 4, 0, 2, 2, 1, 4, 3, 2, 4, 3, 3, 2, 4, 4, 0, 4, 1, 0, 1, 2, 0, 4, 4, 3, 3, 2, 0, 0, 2, 3, 1, 4, 2, 2, 1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 0, 1, 3, 0, 1, 0, 2, 1, 1, 4, 1, 0, 4, 4, 4, 0, 2, 2, 2, 2, 3, 0, 0, 0, 4, 0, 0, 2, 0, 3, 0, 2, 1, 4, 4, 4, 1, 4, 4, 4, 3, 0, 1, 3, 2, 4, 1, 4, 1, 4, 3, 2, 2, 3, 4, 3, 3, 2, 0, 3, 0, 3, 3, 1, 2, 3, 0, 0, 2, 2, 2, 0, 3, 4, 2, 3, 3, 1, 2, 1, 4, 4, 4, 2, 4, 1, 1, 2, 2, 2, 3, 4, 4, 1, 1, 1, 3, 2, 0, 3, 0, 0, 4, 1, 4, 4, 3, 2, 2, 1, 2, 1, 3, 0, 0, 0, 4, 4, 3, 4, 2, 4, 3, 3] pubkeycol1471 = [2, 2, 1, 3, 2, 1, 1, 2, 4, 4, 4, 1, 3, 1, 2, 3, 3, 4, 3, 1, 0, 2, 0, 4, 2, 1, 0, 4, 2, 4, 2, 3, 1, 4, 3, 2, 4, 0, 4, 3, 1, 2, 4, 4, 0, 3, 4, 4, 2, 2, 0, 3, 2, 0, 2, 3, 2, 2, 2, 1, 4, 1, 4, 4, 0, 4, 1, 1, 4, 0, 1, 2, 0, 4, 2, 4, 3, 4, 4, 0, 2, 0, 4, 1, 1, 0, 0, 0, 4, 0, 4, 4, 2, 1, 3, 3, 1, 3, 4, 3, 2, 1, 3, 0, 0, 0, 3, 1, 4, 1, 1, 3, 1, 2, 2, 3, 2, 1, 4, 2, 4, 1, 1, 0, 3, 0, 4, 4, 3, 2, 0, 1, 3, 0, 4, 1, 0, 4, 3, 1, 4, 3, 1, 2, 0, 4, 0, 2, 2, 1, 2, 0, 0, 4, 2, 3, 3, 2, 1, 0, 4, 2, 3, 2, 1, 1, 2, 0, 0, 2, 0, 3, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 1, 3, 3, 4, 2, 4, 1, 1, 1, 3, 3, 4, 3, 3, 0, 2, 4, 2, 2, 0, 3, 3, 4, 2, 1, 3, 0, 0, 0, 2, 2, 2, 0, 1, 1, 4, 3, 0, 0, 4, 1, 4, 0, 2, 3, 2, 2, 3, 4, 0, 2, 4, 1, 0, 3, 0, 1, 4, 1, 2, 1, 4, 4, 4, 0, 4, 4, 3, 0, 3, 3, 2, 0, 4, 0, 1, 3, 1, 3, 1, 2, 0, 1, 4, 4, 3, 1, 1, 0, 4, 0, 3, 4, 2, 4, 4, 4, 0, 0, 0, 2, 3, 4, 0, 2, 3, 4, 3, 3, 1, 1, 2, 0, 0, 1, 4, 2, 4, 1, 1, 1, 4, 0, 2, 2, 1, 4, 1, 3, 4, 1, 3, 0, 0, 1, 0, 4, 0, 3, 3, 2, 4, 0, 2, 3, 0, 3, 2, 3, 3, 2, 1, 4, 4, 3, 2, 3, 4, 3, 0, 4, 0, 0, 2, 0, 4, 4, 1, 1, 1, 1, 3, 3, 2, 4, 3, 1, 2, 4, 2, 0, 0, 2, 2, 4, 1, 0, 4, 4, 1, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 4, 0, 0, 3, 2, 0, 2, 4, 0, 2, 1, 1, 2, 4, 4, 1, 0, 2, 3, 2, 2, 2, 0, 2, 2, 3, 1, 1, 3, 2, 0, 4, 0, 3, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 3, 3, 0, 4, 1, 0, 4, 0, 4, 0, 2, 1, 3, 4, 3, 3, 2, 2, 1, 1, 3, 3, 0, 4, 4, 3, 3, 4, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 4, 1, 0, 1] pubkeycol1472 = [4, 1, 1, 3, 4, 0, 4, 3, 0, 2, 3, 1, 3, 1, 3, 4, 0, 3, 4, 0, 3, 2, 4, 0, 3, 3, 4, 0, 1, 3, 1, 4, 4, 2, 3, 2, 3, 2, 0, 4, 3, 2, 2, 1, 2, 4, 3, 0, 0, 4, 2, 4, 0, 3, 4, 1, 4, 0, 4, 1, 1, 3, 4, 1, 1, 0, 0, 3, 3, 3, 1, 3, 1, 0, 4, 0, 1, 0, 0, 4, 0, 3, 4, 0, 1, 3, 3, 3, 3, 2, 2, 0, 3, 2, 2, 1, 3, 0, 4, 4, 3, 0, 2, 1, 4, 0, 3, 1, 1, 0, 4, 1, 0, 1, 2, 0, 4, 2, 1, 4, 4, 3, 4, 2, 3, 1, 0, 1, 1, 1, 1, 2, 0, 3, 3, 3, 1, 4, 2, 0, 0, 3, 2, 3, 2, 2, 4, 4, 1, 3, 3, 2, 2, 1, 1, 3, 0, 4, 3, 1, 0, 0, 0, 2, 3, 3, 2, 1, 2, 2, 1, 4, 4, 2, 1, 0, 1, 4, 3, 4, 2, 2, 1, 4, 3, 4, 2, 2, 0, 0, 3, 2, 3, 0, 0, 1, 3, 1, 3, 4, 3, 2, 3, 2, 0, 2, 2, 4, 1, 3, 4, 0, 2, 0, 2, 3, 0, 4, 1, 2, 4, 1, 4, 3, 2, 0, 0, 4, 3, 4, 0, 4, 2, 3, 3, 0, 4, 4, 1, 4, 4, 4, 4, 0, 3, 3, 0, 0, 2, 2, 3, 4, 1, 2, 2, 0, 2, 4, 2, 0, 4, 0, 4, 1, 0, 0, 1, 4, 3, 3, 4, 3, 0, 4, 3, 0, 3, 2, 1, 4, 0, 3, 3, 1, 0, 0, 4, 3, 0, 4, 2, 4, 2, 1, 3, 3, 2, 3, 2, 1, 4, 0, 4, 0, 0, 3, 2, 0, 1, 1, 2, 1, 4, 0, 4, 0, 2, 3, 1, 1, 2, 3, 3, 1, 0, 1, 0, 3, 1, 2, 1, 0, 1, 3, 3, 1, 4, 0, 1, 2, 2, 3, 4, 3, 0, 4, 4, 0, 0, 4, 1, 3, 2, 1, 2, 4, 2, 1, 4, 2, 4, 4, 1, 3, 1, 0, 3, 0, 2, 3, 0, 3, 4, 0, 1, 2, 4, 0, 4, 1, 2, 2, 4, 3, 4, 4, 0, 2, 4, 4, 1, 1, 0, 3, 0, 0, 3, 4, 3, 2, 2, 4, 0, 1, 2, 0, 3, 3, 0, 3, 2, 0, 3, 3, 0, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 1, 4, 4, 2, 1, 0, 3, 3, 2, 0, 2, 0, 3, 0, 0, 3, 3, 0, 3, 2, 1, 2, 0, 3, 3, 1, 1, 0, 3, 0, 2, 0, 1, 4, 2, 0, 1, 3, 0, 4, 1, 1, 3, 4, 2, 0, 2, 0, 3, 3, 4, 1, 1, 3, 4] pubkeycol1473 = [0, 1, 3, 0, 2, 1, 4, 0, 2, 1, 0, 0, 0, 3, 2, 1, 3, 4, 0, 3, 4, 4, 3, 1, 1, 0, 4, 4, 3, 3, 4, 3, 0, 1, 2, 3, 3, 1, 1, 1, 0, 2, 0, 3, 2, 2, 2, 3, 4, 1, 0, 2, 3, 3, 4, 3, 4, 2, 4, 1, 1, 0, 0, 2, 4, 2, 3, 1, 2, 1, 1, 4, 2, 3, 0, 3, 2, 0, 3, 1, 2, 4, 0, 4, 2, 3, 3, 3, 4, 3, 3, 1, 0, 0, 4, 4, 1, 4, 0, 0, 4, 0, 4, 1, 0, 1, 3, 4, 3, 3, 0, 2, 1, 0, 4, 1, 3, 4, 2, 0, 2, 4, 4, 2, 4, 0, 3, 0, 0, 4, 3, 3, 0, 2, 3, 2, 2, 4, 0, 2, 4, 3, 0, 2, 1, 0, 4, 1, 4, 4, 0, 1, 0, 4, 3, 0, 1, 4, 3, 4, 0, 2, 3, 4, 3, 0, 1, 3, 0, 2, 3, 3, 4, 3, 4, 4, 1, 1, 4, 2, 4, 2, 1, 0, 1, 4, 3, 2, 3, 3, 0, 2, 3, 3, 4, 1, 2, 0, 3, 4, 0, 2, 3, 0, 4, 3, 4, 0, 4, 2, 2, 1, 0, 2, 2, 2, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 4, 0, 0, 4, 3, 3, 0, 2, 2, 4, 4, 2, 0, 0, 0, 2, 3, 2, 1, 0, 0, 4, 1, 1, 3, 0, 4, 4, 3, 0, 0, 3, 0, 4, 3, 1, 0, 4, 4, 2, 3, 2, 3, 1, 4, 1, 3, 0, 4, 0, 4, 0, 1, 0, 0, 3, 0, 1, 0, 1, 3, 3, 1, 1, 0, 2, 1, 0, 2, 0, 3, 3, 0, 4, 0, 0, 0, 0, 3, 1, 3, 1, 4, 1, 2, 3, 1, 4, 2, 3, 2, 0, 4, 1, 0, 2, 0, 3, 1, 2, 4, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 3, 1, 0, 0, 0, 2, 3, 1, 1, 2, 3, 3, 4, 0, 0, 1, 3, 1, 2, 2, 0, 4, 2, 0, 1, 4, 2, 0, 1, 4, 2, 1, 4, 2, 4, 1, 3, 4, 4, 1, 4, 4, 3, 0, 0, 0, 1, 4, 1, 2, 1, 4, 0, 4, 0, 0, 3, 1, 2, 1, 4, 0, 4, 4, 0, 4, 4, 4, 2, 3, 2, 3, 3, 3, 2, 4, 0, 0, 2, 0, 4, 1, 2, 3, 0, 3, 2, 3, 0, 1, 0, 3, 0, 3, 2, 2, 3, 1, 3, 3, 0, 2, 1, 1, 0, 0, 0, 2, 4, 2, 4, 4, 4, 4, 4, 4, 1, 4, 4, 2, 4, 0, 4, 1, 1, 2, 1, 4, 4, 4, 1, 2, 1, 0, 0, 1, 4, 2, 1] pubkeycol1474 = [3, 1, 2, 4, 0, 3, 4, 3, 2, 3, 3, 0, 4, 1, 0, 0, 2, 0, 4, 0, 0, 2, 2, 0, 2, 2, 4, 3, 4, 4, 4, 3, 4, 0, 4, 4, 1, 2, 0, 2, 0, 4, 3, 3, 0, 0, 4, 2, 4, 3, 0, 3, 2, 2, 0, 2, 0, 3, 3, 2, 1, 0, 3, 3, 0, 0, 1, 3, 0, 2, 2, 4, 2, 0, 0, 3, 4, 3, 2, 0, 3, 3, 3, 4, 2, 0, 0, 4, 2, 2, 1, 2, 0, 1, 1, 0, 3, 1, 2, 2, 0, 1, 3, 0, 2, 4, 4, 0, 3, 4, 1, 1, 2, 1, 1, 0, 4, 2, 1, 1, 4, 0, 0, 1, 0, 4, 0, 3, 2, 1, 4, 1, 1, 2, 3, 3, 0, 1, 3, 0, 4, 0, 1, 4, 4, 1, 0, 2, 2, 0, 4, 1, 4, 2, 0, 2, 0, 2, 0, 2, 2, 4, 1, 4, 2, 0, 3, 4, 3, 2, 2, 1, 1, 4, 0, 4, 4, 3, 3, 0, 3, 4, 0, 4, 4, 3, 2, 1, 4, 2, 2, 1, 2, 1, 4, 2, 0, 0, 3, 3, 2, 4, 3, 4, 4, 0, 4, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 3, 0, 0, 3, 1, 2, 4, 1, 4, 1, 1, 4, 0, 4, 4, 4, 2, 2, 4, 4, 3, 1, 4, 4, 2, 3, 4, 3, 1, 4, 1, 2, 1, 2, 4, 1, 3, 3, 3, 2, 0, 2, 4, 0, 2, 4, 2, 3, 1, 4, 3, 3, 1, 3, 0, 1, 4, 0, 1, 2, 1, 3, 1, 4, 4, 3, 2, 4, 2, 0, 3, 1, 2, 3, 2, 1, 1, 2, 3, 4, 2, 0, 2, 1, 2, 4, 1, 2, 0, 4, 4, 4, 4, 1, 4, 3, 4, 4, 3, 4, 1, 4, 3, 1, 4, 3, 1, 1, 4, 2, 0, 4, 0, 2, 3, 2, 3, 3, 1, 4, 0, 3, 4, 2, 3, 1, 2, 1, 4, 0, 1, 2, 1, 1, 2, 3, 2, 0, 3, 1, 2, 1, 0, 4, 1, 0, 4, 1, 4, 3, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 4, 3, 3, 4, 2, 2, 0, 1, 3, 0, 2, 3, 2, 2, 3, 3, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 4, 1, 3, 3, 4, 1, 3, 4, 3, 2, 0, 3, 4, 0, 0, 1, 1, 1, 0, 4, 1, 0, 3, 2, 2, 4, 0, 4, 3, 1, 2, 2, 3, 3, 2, 2, 0, 3, 0, 0, 0, 3, 3, 0, 1, 0, 2, 1, 2, 0, 3, 3, 0, 2, 4, 3, 3, 4, 2, 3, 3, 2, 1, 1, 3, 1, 3, 0, 0, 4, 4, 4, 0, 3, 0] pubkeycol1475 = [4, 4, 3, 1, 1, 0, 0, 4, 3, 0, 3, 4, 2, 0, 0, 2, 1, 4, 1, 0, 4, 3, 3, 2, 4, 4, 0, 3, 0, 1, 1, 2, 3, 2, 4, 2, 0, 4, 0, 1, 0, 3, 3, 2, 0, 1, 2, 0, 0, 0, 4, 0, 0, 4, 0, 0, 3, 3, 3, 1, 2, 3, 4, 3, 3, 0, 4, 2, 1, 2, 1, 2, 2, 0, 3, 4, 1, 4, 1, 1, 2, 3, 4, 2, 3, 2, 2, 2, 4, 4, 1, 1, 2, 1, 3, 1, 1, 2, 3, 3, 3, 2, 0, 1, 0, 3, 3, 0, 4, 0, 2, 1, 1, 3, 2, 3, 0, 1, 2, 3, 4, 3, 0, 3, 4, 1, 3, 3, 3, 3, 2, 3, 2, 4, 3, 0, 0, 3, 1, 1, 2, 4, 3, 0, 4, 2, 0, 2, 1, 0, 0, 2, 4, 1, 4, 3, 1, 3, 0, 1, 4, 2, 3, 2, 0, 4, 0, 1, 2, 3, 1, 1, 1, 3, 4, 3, 1, 2, 2, 2, 3, 0, 2, 4, 0, 2, 3, 2, 2, 4, 1, 0, 3, 4, 2, 2, 0, 2, 0, 2, 3, 1, 3, 3, 3, 0, 4, 0, 3, 4, 2, 1, 2, 0, 2, 2, 2, 1, 1, 4, 1, 1, 0, 4, 4, 4, 4, 0, 2, 3, 3, 0, 1, 4, 3, 3, 1, 4, 1, 1, 4, 1, 1, 4, 2, 1, 3, 0, 4, 1, 0, 0, 3, 4, 1, 2, 0, 4, 0, 2, 1, 3, 3, 4, 3, 4, 3, 3, 4, 2, 4, 0, 3, 2, 4, 0, 4, 0, 3, 3, 0, 4, 4, 0, 2, 2, 1, 4, 2, 1, 1, 0, 1, 0, 2, 4, 4, 3, 2, 2, 0, 2, 4, 2, 3, 1, 4, 0, 3, 4, 3, 0, 3, 0, 3, 0, 0, 2, 2, 0, 0, 0, 2, 3, 2, 3, 4, 4, 2, 1, 3, 1, 0, 4, 3, 0, 3, 1, 0, 1, 3, 3, 3, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 4, 0, 0, 2, 2, 2, 4, 3, 0, 3, 2, 3, 2, 0, 3, 2, 3, 2, 1, 4, 1, 4, 3, 3, 1, 4, 1, 0, 4, 3, 4, 4, 0, 0, 1, 4, 4, 0, 3, 1, 1, 3, 0, 2, 4, 4, 3, 1, 0, 1, 0, 2, 1, 4, 2, 4, 4, 0, 1, 1, 3, 1, 0, 1, 3, 4, 1, 3, 4, 0, 1, 2, 2, 2, 4, 0, 3, 4, 2, 1, 0, 4, 0, 0, 4, 0, 2, 3, 4, 3, 2, 4, 0, 0, 2, 3, 3, 2, 1, 2, 0, 2, 3, 4, 2, 1, 3, 4, 2, 3, 2, 0, 1, 2, 4, 1, 4, 4, 3, 4, 0, 0, 0, 1, 2] pubkeycol1476 = [0, 4, 2, 1, 0, 4, 2, 4, 4, 0, 3, 2, 0, 4, 4, 2, 2, 0, 3, 0, 1, 0, 1, 3, 0, 0, 4, 1, 2, 3, 2, 1, 2, 3, 0, 0, 3, 1, 4, 2, 1, 4, 0, 0, 4, 3, 2, 1, 0, 0, 2, 3, 3, 3, 1, 0, 0, 0, 1, 2, 2, 1, 3, 3, 1, 0, 4, 1, 4, 1, 4, 2, 0, 0, 1, 4, 2, 3, 3, 2, 2, 2, 1, 0, 2, 0, 3, 2, 3, 3, 1, 1, 4, 1, 1, 1, 3, 3, 0, 1, 0, 3, 3, 1, 2, 3, 3, 2, 2, 2, 0, 2, 4, 2, 4, 2, 3, 2, 2, 4, 0, 1, 3, 0, 0, 4, 2, 2, 2, 0, 3, 1, 2, 2, 0, 2, 0, 1, 1, 1, 3, 2, 2, 4, 1, 3, 1, 2, 2, 3, 1, 2, 1, 4, 4, 0, 3, 4, 0, 1, 3, 4, 3, 3, 0, 0, 3, 2, 3, 2, 2, 0, 2, 1, 3, 0, 1, 3, 4, 1, 4, 2, 3, 2, 1, 4, 2, 0, 3, 0, 0, 3, 0, 3, 1, 2, 2, 0, 3, 1, 2, 2, 0, 0, 1, 4, 4, 1, 4, 3, 2, 1, 1, 1, 4, 1, 4, 2, 3, 1, 0, 3, 4, 0, 1, 1, 4, 3, 3, 1, 0, 4, 3, 2, 0, 3, 2, 2, 1, 2, 2, 2, 4, 0, 3, 0, 2, 4, 1, 4, 2, 1, 4, 2, 1, 0, 2, 0, 0, 4, 1, 3, 3, 3, 3, 0, 4, 4, 4, 3, 4, 0, 2, 1, 3, 3, 4, 0, 4, 3, 2, 3, 3, 3, 1, 3, 4, 3, 4, 1, 1, 2, 2, 1, 2, 4, 0, 2, 4, 4, 0, 4, 3, 3, 3, 3, 0, 2, 2, 3, 4, 3, 2, 1, 4, 3, 2, 2, 4, 2, 0, 1, 4, 3, 2, 3, 2, 4, 0, 0, 2, 4, 3, 4, 0, 2, 2, 4, 2, 1, 0, 2, 1, 3, 4, 0, 1, 4, 2, 3, 0, 0, 2, 3, 1, 2, 3, 3, 3, 0, 0, 0, 1, 2, 1, 2, 2, 3, 3, 4, 3, 2, 1, 1, 1, 0, 3, 4, 4, 1, 0, 1, 4, 3, 4, 1, 0, 2, 4, 2, 0, 1, 0, 3, 1, 3, 3, 1, 4, 4, 2, 1, 0, 4, 4, 1, 1, 0, 3, 0, 1, 3, 3, 1, 4, 3, 3, 0, 2, 1, 4, 4, 1, 2, 3, 2, 3, 4, 1, 4, 2, 2, 1, 3, 3, 1, 1, 0, 1, 2, 3, 3, 0, 0, 4, 0, 2, 2, 1, 1, 1, 0, 0, 3, 3, 0, 0, 3, 2, 3, 2, 1, 0, 4, 3, 4, 2, 3, 2, 4, 3, 2, 0, 3, 3, 0, 0, 2, 2, 4] pubkeycol1477 = [4, 3, 4, 3, 3, 3, 2, 3, 1, 4, 1, 1, 3, 2, 1, 2, 2, 2, 2, 3, 3, 4, 0, 3, 2, 4, 1, 1, 0, 4, 3, 3, 1, 2, 0, 0, 0, 4, 4, 3, 2, 1, 0, 3, 1, 3, 0, 4, 3, 1, 1, 4, 4, 0, 3, 4, 4, 0, 0, 3, 3, 1, 2, 1, 4, 1, 1, 0, 3, 4, 3, 0, 3, 0, 0, 3, 0, 1, 1, 0, 1, 4, 2, 3, 4, 0, 2, 0, 4, 2, 0, 4, 3, 3, 2, 3, 1, 1, 1, 2, 4, 0, 4, 3, 1, 0, 4, 0, 3, 4, 3, 0, 2, 1, 0, 0, 3, 2, 4, 2, 2, 0, 2, 1, 3, 0, 3, 2, 1, 2, 3, 3, 1, 4, 0, 4, 0, 4, 3, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 3, 0, 4, 2, 0, 4, 4, 2, 2, 4, 4, 4, 3, 4, 3, 1, 3, 2, 3, 2, 0, 4, 3, 4, 0, 4, 0, 1, 1, 1, 3, 2, 2, 4, 3, 0, 3, 1, 3, 2, 1, 2, 1, 4, 1, 2, 2, 2, 4, 4, 1, 2, 2, 3, 4, 1, 3, 1, 3, 4, 0, 1, 3, 4, 3, 1, 4, 3, 4, 3, 0, 0, 4, 4, 1, 4, 4, 0, 2, 1, 3, 4, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 4, 4, 2, 3, 1, 1, 4, 2, 0, 4, 1, 3, 1, 2, 4, 4, 4, 4, 3, 1, 0, 0, 4, 4, 1, 1, 3, 0, 2, 3, 3, 4, 1, 2, 1, 2, 0, 0, 0, 1, 3, 1, 1, 4, 3, 4, 1, 2, 1, 4, 1, 1, 2, 3, 0, 1, 4, 2, 2, 0, 1, 0, 2, 3, 0, 2, 1, 1, 1, 4, 2, 3, 1, 1, 3, 2, 1, 3, 2, 4, 2, 1, 3, 0, 3, 3, 3, 2, 3, 4, 3, 4, 1, 4, 2, 1, 2, 2, 2, 4, 0, 0, 2, 2, 0, 0, 1, 0, 4, 2, 0, 4, 0, 4, 0, 3, 2, 3, 4, 4, 4, 1, 2, 3, 2, 4, 0, 3, 4, 0, 4, 4, 1, 4, 4, 4, 3, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 3, 0, 1, 4, 0, 3, 4, 2, 1, 0, 3, 1, 2, 4, 4, 4, 3, 1, 4, 2, 0, 2, 2, 3, 2, 3, 3, 2, 2, 0, 1, 2, 4, 0, 4, 0, 3, 1, 0, 3, 4, 0, 4, 2, 2, 1, 4, 1, 4, 3, 0, 0, 3, 1, 0, 1, 1, 3, 3, 3, 1, 3, 4, 3, 1, 2, 3, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 0, 2, 0, 1, 2, 4, 1] pubkeycol1478 = [2, 2, 1, 3, 2, 1, 0, 2, 4, 1, 3, 3, 4, 2, 2, 1, 3, 2, 0, 3, 4, 4, 1, 3, 1, 4, 3, 4, 3, 4, 1, 4, 2, 1, 4, 4, 4, 4, 4, 0, 1, 0, 0, 2, 0, 2, 0, 4, 1, 4, 3, 0, 0, 2, 0, 2, 1, 2, 1, 3, 4, 4, 2, 1, 4, 1, 3, 0, 1, 4, 3, 0, 2, 3, 3, 1, 0, 0, 1, 4, 3, 1, 0, 4, 2, 0, 1, 2, 3, 0, 0, 4, 3, 0, 0, 3, 2, 1, 3, 0, 4, 3, 1, 0, 2, 2, 2, 3, 3, 2, 1, 4, 1, 4, 1, 3, 0, 4, 0, 0, 4, 1, 2, 3, 1, 3, 1, 3, 1, 0, 4, 2, 2, 1, 4, 0, 2, 3, 0, 3, 4, 3, 1, 4, 2, 0, 3, 3, 4, 1, 3, 3, 4, 0, 1, 1, 1, 3, 0, 1, 0, 2, 1, 1, 3, 0, 4, 4, 0, 3, 3, 1, 4, 4, 4, 1, 2, 1, 2, 3, 2, 1, 1, 3, 0, 4, 1, 4, 3, 4, 1, 3, 2, 2, 3, 2, 3, 2, 2, 2, 0, 0, 0, 0, 1, 3, 1, 4, 4, 1, 4, 1, 3, 0, 0, 3, 1, 4, 2, 4, 2, 4, 4, 0, 0, 3, 0, 1, 2, 3, 4, 4, 4, 1, 4, 3, 4, 2, 3, 4, 4, 0, 1, 1, 4, 2, 0, 0, 0, 4, 0, 1, 0, 1, 4, 3, 1, 1, 3, 2, 0, 2, 2, 4, 1, 4, 1, 3, 0, 1, 3, 3, 1, 0, 3, 4, 4, 2, 4, 3, 1, 1, 0, 1, 4, 4, 4, 0, 2, 1, 0, 4, 0, 3, 2, 0, 4, 0, 3, 3, 2, 1, 2, 2, 1, 0, 0, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 4, 3, 3, 3, 0, 4, 0, 0, 3, 0, 0, 4, 1, 3, 4, 2, 4, 3, 0, 4, 4, 0, 1, 0, 3, 0, 3, 4, 3, 0, 3, 0, 1, 4, 1, 3, 0, 1, 4, 1, 2, 2, 3, 2, 1, 4, 3, 4, 1, 3, 3, 0, 3, 2, 2, 2, 3, 0, 1, 1, 4, 0, 4, 2, 1, 0, 4, 1, 2, 1, 4, 4, 2, 2, 1, 3, 4, 2, 3, 4, 1, 0, 2, 3, 4, 4, 1, 3, 2, 1, 2, 0, 3, 1, 1, 2, 4, 2, 0, 3, 2, 3, 1, 2, 0, 0, 0, 1, 1, 1, 3, 2, 2, 0, 0, 3, 0, 3, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 4, 1, 0, 0, 3, 4, 1, 2, 1, 1, 3, 2, 4, 4, 4, 4, 0, 2, 1, 2, 0, 4, 4, 1, 3, 3, 3, 3, 3, 1, 2, 3] pubkeycol1479 = [3, 0, 2, 0, 0, 3, 4, 4, 1, 3, 4, 0, 1, 4, 0, 1, 2, 1, 0, 3, 2, 0, 3, 1, 1, 1, 0, 0, 3, 4, 0, 4, 4, 1, 0, 0, 2, 3, 0, 3, 1, 0, 4, 2, 0, 1, 1, 2, 2, 4, 0, 4, 0, 4, 4, 0, 4, 1, 3, 0, 2, 2, 0, 2, 1, 2, 2, 3, 0, 3, 2, 1, 3, 0, 1, 3, 2, 1, 3, 0, 2, 0, 1, 1, 2, 0, 1, 3, 3, 2, 3, 4, 4, 2, 4, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 3, 3, 0, 3, 0, 3, 4, 4, 4, 1, 3, 0, 2, 4, 3, 1, 4, 0, 1, 2, 3, 3, 4, 2, 4, 3, 3, 4, 2, 1, 2, 1, 4, 0, 2, 1, 2, 3, 0, 3, 1, 0, 2, 0, 4, 3, 4, 2, 4, 2, 3, 1, 4, 1, 3, 3, 2, 0, 3, 1, 4, 4, 1, 2, 2, 3, 1, 3, 2, 3, 1, 1, 3, 4, 1, 2, 2, 4, 0, 3, 0, 0, 0, 1, 4, 4, 2, 4, 3, 2, 2, 4, 1, 4, 3, 1, 3, 4, 3, 1, 2, 1, 2, 1, 1, 0, 4, 4, 0, 1, 1, 0, 1, 1, 4, 0, 2, 1, 1, 2, 0, 4, 0, 1, 4, 0, 3, 0, 1, 3, 0, 4, 0, 4, 1, 4, 2, 0, 3, 3, 1, 4, 3, 1, 3, 1, 2, 2, 1, 1, 1, 0, 0, 4, 0, 4, 1, 4, 1, 2, 1, 0, 3, 1, 3, 2, 4, 1, 3, 0, 1, 0, 0, 2, 0, 2, 2, 3, 4, 1, 2, 2, 1, 4, 4, 2, 1, 0, 4, 3, 0, 1, 1, 3, 1, 1, 2, 3, 1, 4, 2, 2, 2, 0, 4, 3, 3, 3, 1, 2, 0, 3, 0, 3, 2, 0, 2, 3, 4, 3, 1, 2, 0, 2, 2, 2, 3, 1, 2, 0, 0, 1, 4, 4, 4, 3, 4, 4, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 3, 4, 1, 1, 0, 3, 3, 4, 1, 4, 4, 0, 3, 2, 2, 4, 4, 4, 2, 3, 0, 2, 1, 4, 4, 3, 3, 4, 0, 2, 4, 3, 0, 2, 0, 1, 1, 4, 1, 0, 0, 4, 2, 2, 3, 0, 4, 4, 3, 3, 4, 3, 0, 2, 3, 0, 0, 1, 1, 0, 2, 0, 4, 1, 1, 2, 2, 0, 3, 2, 0, 2, 4, 1, 1, 3, 0, 2, 4, 1, 0, 1, 0, 3, 0, 1, 0, 0, 0, 0, 4, 2, 4, 4, 0, 0, 0, 3, 0, 1, 0, 4, 1, 1, 3, 1, 3, 2, 2, 1, 0, 2, 3, 2, 3, 1, 4, 2, 0, 4, 4] pubkeycol1480 = [1, 2, 2, 3, 1, 4, 3, 3, 4, 2, 4, 3, 0, 2, 0, 0, 0, 4, 1, 2, 4, 2, 3, 0, 0, 3, 2, 0, 4, 4, 2, 3, 2, 0, 3, 2, 0, 4, 1, 0, 2, 1, 4, 1, 1, 1, 4, 2, 3, 3, 3, 3, 0, 0, 4, 0, 2, 3, 4, 0, 3, 3, 4, 4, 2, 2, 3, 0, 1, 3, 3, 4, 3, 0, 0, 0, 3, 4, 4, 1, 1, 4, 3, 3, 0, 0, 1, 2, 0, 1, 3, 0, 3, 2, 0, 2, 4, 1, 2, 2, 3, 0, 1, 3, 4, 1, 1, 3, 2, 3, 4, 4, 3, 3, 3, 2, 1, 0, 1, 4, 1, 2, 2, 1, 3, 4, 1, 3, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 1, 2, 3, 4, 2, 0, 3, 0, 1, 2, 0, 3, 3, 3, 0, 0, 4, 2, 1, 1, 4, 2, 1, 2, 1, 0, 4, 1, 1, 4, 0, 2, 1, 0, 1, 3, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 4, 3, 2, 4, 1, 1, 3, 4, 2, 0, 1, 4, 1, 2, 1, 3, 2, 3, 1, 1, 3, 3, 1, 2, 2, 1, 1, 2, 3, 4, 1, 3, 0, 2, 0, 2, 3, 1, 3, 2, 3, 1, 0, 4, 4, 4, 0, 3, 2, 1, 0, 2, 3, 0, 3, 4, 3, 1, 1, 2, 0, 1, 0, 1, 4, 0, 2, 2, 1, 2, 3, 0, 0, 0, 1, 1, 0, 3, 3, 3, 3, 0, 2, 1, 3, 2, 0, 1, 1, 2, 3, 0, 4, 3, 3, 3, 2, 0, 4, 2, 0, 2, 4, 1, 3, 1, 0, 2, 4, 0, 2, 4, 3, 2, 1, 0, 3, 3, 2, 3, 4, 0, 4, 3, 2, 2, 1, 3, 0, 2, 2, 3, 1, 4, 4, 0, 3, 0, 0, 4, 3, 4, 0, 0, 1, 2, 3, 3, 2, 1, 1, 0, 4, 4, 0, 1, 0, 3, 2, 1, 4, 4, 3, 1, 1, 3, 4, 3, 4, 3, 3, 1, 3, 1, 0, 0, 3, 2, 2, 0, 4, 2, 3, 0, 0, 2, 4, 4, 0, 1, 3, 1, 1, 4, 2, 1, 0, 2, 2, 2, 2, 1, 3, 1, 0, 0, 1, 2, 4, 0, 1, 4, 1, 1, 1, 2, 2, 4, 3, 0, 3, 0, 4, 1, 1, 4, 1, 1, 0, 1, 3, 4, 3, 1, 1, 1, 1, 1, 3, 4, 0, 2, 0, 0, 3, 1, 0, 3, 2, 3, 1, 0, 4, 2, 3, 3, 3, 2, 1, 2, 2, 1, 0, 4, 1, 3, 0, 4, 0, 1, 2, 4, 4, 3, 0, 3, 4, 0, 4, 0, 1, 1, 0, 2, 1, 3, 4, 0, 2, 0, 4] pubkeycol1481 = [3, 0, 4, 2, 4, 0, 3, 3, 0, 3, 2, 1, 1, 3, 2, 0, 2, 3, 0, 3, 2, 1, 4, 1, 2, 0, 3, 3, 4, 0, 4, 4, 0, 2, 2, 0, 2, 0, 1, 4, 3, 2, 1, 3, 0, 0, 2, 3, 0, 1, 1, 4, 0, 0, 0, 1, 3, 3, 2, 4, 4, 2, 3, 0, 2, 3, 2, 4, 3, 0, 3, 3, 1, 3, 4, 0, 0, 2, 3, 4, 3, 1, 2, 0, 2, 1, 1, 3, 1, 2, 3, 3, 2, 3, 0, 4, 2, 3, 0, 4, 4, 0, 0, 2, 3, 3, 3, 3, 1, 2, 1, 1, 4, 1, 0, 0, 2, 1, 0, 4, 4, 1, 1, 0, 4, 0, 1, 3, 2, 0, 2, 3, 2, 3, 0, 4, 3, 2, 1, 2, 4, 4, 3, 3, 0, 2, 4, 1, 3, 0, 1, 2, 3, 1, 3, 2, 3, 0, 2, 4, 1, 4, 3, 4, 1, 2, 0, 0, 0, 4, 4, 1, 2, 3, 4, 2, 3, 4, 2, 1, 0, 4, 3, 2, 0, 0, 3, 1, 0, 2, 4, 0, 3, 2, 3, 4, 2, 1, 4, 3, 2, 1, 3, 1, 4, 3, 2, 2, 0, 1, 1, 3, 0, 1, 1, 2, 0, 0, 2, 4, 4, 4, 1, 3, 2, 4, 3, 2, 3, 2, 3, 4, 3, 0, 3, 3, 1, 3, 4, 1, 3, 2, 1, 3, 0, 0, 3, 1, 3, 2, 3, 1, 1, 4, 1, 3, 2, 1, 3, 1, 4, 2, 4, 4, 2, 2, 1, 1, 3, 1, 3, 0, 0, 0, 4, 3, 1, 1, 2, 0, 4, 1, 3, 2, 2, 0, 4, 0, 1, 1, 1, 3, 3, 3, 3, 4, 1, 1, 3, 3, 4, 0, 2, 1, 4, 4, 4, 0, 1, 0, 2, 4, 1, 3, 4, 3, 2, 0, 2, 2, 2, 4, 2, 3, 3, 3, 4, 0, 0, 2, 2, 2, 4, 1, 3, 2, 3, 3, 3, 3, 0, 1, 3, 2, 3, 1, 1, 3, 2, 4, 3, 1, 4, 3, 1, 3, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 3, 4, 3, 4, 0, 4, 0, 1, 2, 2, 0, 4, 4, 3, 4, 4, 2, 4, 1, 4, 2, 3, 0, 2, 1, 0, 3, 4, 0, 1, 3, 2, 0, 1, 4, 0, 4, 3, 2, 2, 0, 2, 1, 2, 4, 3, 3, 2, 0, 2, 4, 1, 3, 1, 3, 0, 1, 0, 1, 3, 0, 2, 2, 4, 0, 3, 4, 3, 2, 2, 4, 3, 4, 0, 3, 0, 4, 3, 2, 3, 1, 1, 3, 2, 3, 2, 3, 2, 2, 1, 0, 2, 0, 4, 2, 4, 3, 4, 2, 4, 1, 2, 1, 2, 3, 4, 1, 2, 4, 2, 1, 2, 3, 4] pubkeycol1482 = [2, 4, 1, 4, 2, 3, 4, 2, 0, 0, 3, 1, 1, 3, 2, 1, 3, 0, 1, 3, 2, 4, 2, 4, 4, 3, 1, 0, 3, 2, 3, 0, 0, 4, 1, 0, 2, 1, 2, 2, 4, 0, 3, 0, 1, 3, 4, 0, 3, 1, 0, 3, 4, 4, 0, 4, 0, 3, 4, 3, 0, 0, 3, 0, 4, 1, 0, 1, 3, 2, 3, 3, 2, 1, 2, 1, 1, 4, 2, 0, 4, 0, 4, 3, 3, 4, 2, 0, 1, 0, 1, 1, 0, 3, 0, 4, 2, 3, 0, 1, 2, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 4, 4, 1, 1, 4, 0, 1, 3, 3, 1, 2, 2, 1, 3, 0, 1, 1, 4, 0, 4, 3, 0, 2, 2, 0, 3, 3, 4, 3, 2, 0, 3, 1, 2, 3, 3, 0, 4, 1, 0, 3, 0, 1, 1, 3, 3, 1, 3, 0, 3, 2, 0, 1, 3, 3, 0, 1, 4, 1, 0, 0, 0, 0, 0, 2, 1, 3, 2, 3, 2, 2, 4, 4, 1, 1, 1, 0, 4, 0, 2, 1, 1, 4, 1, 2, 2, 0, 4, 3, 1, 4, 0, 1, 0, 3, 1, 1, 4, 3, 1, 0, 1, 2, 2, 1, 0, 3, 0, 4, 4, 3, 2, 3, 1, 0, 2, 3, 2, 0, 0, 1, 4, 1, 4, 3, 3, 4, 2, 0, 4, 3, 2, 1, 4, 0, 1, 0, 1, 2, 2, 1, 2, 3, 0, 4, 0, 1, 2, 3, 4, 2, 2, 0, 2, 3, 2, 4, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 4, 2, 1, 0, 4, 3, 3, 3, 4, 1, 3, 4, 1, 4, 4, 0, 1, 0, 3, 3, 4, 4, 0, 2, 1, 4, 3, 3, 1, 4, 2, 2, 4, 2, 2, 2, 1, 2, 3, 3, 4, 0, 2, 0, 2, 2, 3, 1, 4, 1, 3, 0, 0, 2, 3, 1, 0, 2, 1, 2, 1, 3, 2, 4, 3, 2, 1, 0, 2, 3, 4, 3, 4, 2, 4, 3, 2, 0, 1, 4, 3, 0, 4, 4, 1, 4, 1, 2, 0, 3, 3, 1, 4, 2, 4, 0, 3, 0, 2, 4, 0, 0, 0, 2, 3, 2, 3, 1, 2, 0, 4, 2, 3, 3, 2, 3, 3, 2, 0, 2, 2, 0, 1, 0, 0, 3, 4, 0, 3, 0, 3, 1, 1, 2, 3, 2, 2, 2, 4, 0, 0, 3, 3, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 1, 1, 2, 1, 2, 2, 4, 1, 2, 2, 3, 1, 2, 0, 4, 2, 3, 2, 3, 3, 1, 2, 3, 2, 4, 2, 3, 3, 3, 1, 2, 0, 1, 1, 2, 0, 0, 0, 4, 3, 2, 2, 3, 4] pubkeycol1483 = [0, 1, 2, 0, 3, 2, 1, 0, 2, 3, 4, 3, 2, 1, 4, 0, 4, 3, 1, 3, 2, 3, 1, 0, 1, 1, 2, 4, 0, 3, 4, 4, 4, 2, 2, 3, 4, 0, 0, 2, 1, 2, 4, 1, 3, 4, 4, 0, 0, 3, 3, 0, 3, 1, 1, 2, 4, 2, 1, 1, 0, 2, 3, 0, 2, 3, 4, 3, 1, 3, 0, 4, 3, 4, 1, 2, 3, 1, 2, 3, 3, 3, 1, 4, 4, 2, 1, 4, 2, 4, 4, 0, 4, 4, 0, 4, 2, 2, 0, 0, 2, 0, 3, 2, 2, 2, 0, 1, 2, 3, 4, 4, 4, 3, 3, 3, 2, 3, 4, 1, 2, 1, 2, 1, 3, 1, 2, 3, 3, 2, 0, 4, 0, 3, 1, 0, 1, 1, 4, 2, 2, 2, 2, 0, 4, 1, 2, 3, 3, 2, 2, 2, 0, 3, 3, 0, 4, 2, 2, 0, 3, 4, 0, 2, 0, 2, 3, 0, 4, 3, 0, 3, 4, 4, 2, 1, 2, 4, 0, 3, 3, 4, 0, 3, 1, 2, 3, 4, 3, 4, 0, 2, 0, 1, 4, 3, 2, 4, 3, 1, 4, 4, 0, 3, 1, 3, 2, 1, 4, 4, 1, 0, 2, 1, 4, 0, 1, 1, 1, 4, 4, 3, 0, 2, 1, 0, 3, 4, 3, 4, 1, 0, 1, 2, 3, 0, 4, 4, 4, 2, 4, 3, 0, 0, 3, 4, 3, 3, 0, 4, 2, 3, 4, 4, 4, 0, 4, 0, 1, 0, 4, 1, 1, 3, 3, 0, 4, 4, 4, 1, 2, 2, 4, 0, 0, 0, 1, 3, 3, 2, 3, 4, 0, 4, 4, 1, 4, 0, 0, 4, 0, 2, 2, 4, 3, 0, 1, 2, 4, 3, 2, 1, 1, 4, 0, 3, 0, 1, 2, 2, 2, 3, 0, 4, 0, 1, 0, 0, 1, 3, 0, 1, 0, 1, 2, 4, 1, 1, 4, 2, 1, 3, 0, 2, 1, 4, 3, 1, 3, 1, 2, 4, 2, 0, 0, 2, 1, 2, 3, 2, 0, 4, 2, 3, 2, 1, 1, 4, 4, 2, 4, 4, 3, 1, 3, 4, 1, 0, 4, 3, 3, 4, 3, 1, 3, 1, 2, 0, 2, 1, 1, 0, 4, 0, 2, 1, 2, 1, 3, 4, 2, 4, 4, 4, 3, 1, 3, 1, 4, 0, 1, 0, 1, 0, 0, 3, 3, 1, 3, 4, 4, 3, 3, 0, 4, 4, 4, 3, 0, 4, 3, 4, 1, 1, 1, 0, 0, 1, 3, 4, 1, 2, 0, 4, 4, 2, 3, 2, 3, 4, 4, 1, 0, 4, 1, 0, 4, 3, 2, 0, 1, 0, 4, 2, 4, 1, 0, 3, 2, 3, 4, 2, 0, 2, 4, 2, 1, 3, 1, 1, 2, 2, 0, 0, 2, 0, 3, 1, 0, 3] pubkeycol1484 = [2, 1, 2, 2, 3, 1, 3, 1, 2, 2, 0, 3, 1, 2, 1, 4, 0, 0, 4, 1, 2, 1, 4, 4, 4, 2, 1, 4, 4, 0, 0, 2, 4, 1, 4, 0, 0, 1, 4, 4, 4, 1, 0, 1, 4, 2, 0, 3, 4, 0, 0, 2, 0, 2, 3, 2, 1, 4, 3, 1, 2, 4, 4, 2, 3, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 1, 0, 0, 4, 4, 3, 4, 0, 4, 1, 1, 4, 3, 1, 4, 3, 1, 2, 4, 3, 0, 0, 3, 2, 1, 4, 1, 4, 0, 3, 1, 0, 3, 1, 1, 1, 4, 0, 4, 2, 0, 4, 2, 3, 2, 2, 1, 0, 0, 2, 1, 2, 4, 2, 2, 2, 3, 1, 4, 1, 1, 4, 3, 3, 1, 3, 0, 1, 1, 0, 1, 3, 0, 1, 2, 0, 0, 1, 4, 3, 4, 2, 1, 3, 2, 1, 2, 4, 4, 0, 1, 4, 4, 3, 1, 1, 4, 0, 4, 0, 4, 0, 3, 2, 4, 0, 2, 4, 0, 2, 3, 3, 2, 2, 4, 0, 4, 1, 1, 1, 2, 3, 2, 2, 1, 1, 2, 3, 1, 3, 3, 1, 3, 2, 0, 2, 0, 0, 3, 3, 1, 1, 1, 0, 0, 3, 1, 2, 2, 2, 3, 2, 3, 2, 3, 0, 1, 2, 4, 3, 3, 2, 3, 3, 3, 4, 3, 4, 1, 4, 1, 0, 3, 0, 4, 1, 3, 4, 3, 3, 2, 2, 1, 3, 4, 1, 3, 3, 3, 2, 2, 1, 4, 0, 3, 1, 2, 1, 0, 0, 1, 3, 1, 0, 2, 3, 3, 3, 1, 1, 4, 4, 4, 3, 3, 2, 0, 1, 1, 2, 1, 4, 1, 2, 3, 4, 3, 3, 4, 0, 4, 3, 4, 1, 2, 3, 0, 3, 0, 2, 1, 0, 3, 2, 1, 4, 2, 4, 2, 4, 4, 3, 3, 3, 1, 3, 3, 3, 1, 0, 3, 0, 4, 1, 2, 4, 0, 1, 4, 4, 2, 1, 2, 0, 0, 0, 4, 3, 1, 4, 4, 2, 4, 0, 3, 1, 3, 4, 2, 0, 3, 0, 4, 2, 1, 1, 2, 1, 4, 0, 2, 4, 3, 1, 4, 1, 2, 3, 4, 3, 4, 4, 0, 1, 0, 4, 0, 2, 2, 0, 4, 2, 3, 3, 2, 0, 3, 0, 3, 4, 2, 2, 2, 3, 3, 4, 4, 1, 4, 4, 4, 1, 2, 4, 0, 3, 2, 0, 4, 3, 3, 0, 4, 3, 0, 0, 1, 2, 3, 4, 1, 3, 2, 3, 2, 1, 0, 2, 2, 1, 1, 0, 3, 0, 1, 2, 4, 2, 2, 0, 3, 2, 0, 3, 3, 3, 3, 1, 1, 0, 2, 4, 1, 4, 1, 0, 1, 1, 2, 2, 1, 1, 4] pubkeycol1485 = [1, 1, 1, 1, 3, 1, 4, 2, 4, 4, 0, 4, 1, 2, 2, 2, 4, 4, 4, 0, 0, 1, 2, 4, 4, 0, 3, 3, 4, 1, 2, 0, 4, 2, 4, 3, 3, 4, 1, 4, 0, 2, 0, 4, 2, 2, 4, 2, 3, 0, 3, 0, 0, 4, 1, 0, 0, 3, 2, 0, 4, 0, 0, 4, 1, 3, 0, 1, 3, 1, 2, 0, 3, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 3, 4, 1, 2, 3, 2, 4, 0, 2, 4, 4, 3, 1, 3, 3, 2, 4, 1, 4, 1, 1, 0, 2, 3, 4, 3, 0, 0, 2, 1, 1, 2, 4, 1, 0, 0, 2, 0, 3, 0, 2, 0, 1, 1, 4, 4, 0, 1, 2, 3, 3, 2, 3, 4, 3, 4, 1, 0, 4, 1, 1, 1, 0, 2, 1, 2, 3, 1, 2, 2, 0, 4, 2, 1, 0, 2, 1, 1, 2, 4, 4, 1, 3, 0, 2, 1, 4, 0, 0, 2, 1, 3, 1, 3, 2, 2, 0, 3, 4, 2, 1, 1, 0, 3, 3, 1, 2, 1, 3, 0, 2, 2, 1, 3, 1, 2, 3, 3, 4, 3, 3, 2, 1, 1, 2, 3, 0, 0, 0, 1, 1, 2, 4, 3, 2, 3, 0, 4, 0, 4, 0, 4, 3, 0, 4, 0, 4, 3, 0, 4, 4, 0, 1, 3, 4, 4, 0, 0, 1, 0, 4, 3, 2, 0, 0, 0, 4, 0, 4, 4, 0, 1, 3, 0, 3, 0, 1, 2, 3, 4, 2, 4, 4, 1, 1, 3, 3, 3, 4, 4, 2, 1, 0, 1, 0, 0, 4, 4, 0, 2, 1, 4, 0, 4, 3, 1, 4, 2, 0, 0, 1, 3, 3, 1, 1, 0, 0, 1, 3, 3, 1, 0, 1, 3, 2, 1, 1, 4, 3, 3, 0, 0, 2, 1, 3, 1, 1, 0, 1, 2, 3, 0, 4, 4, 3, 4, 4, 0, 4, 3, 2, 4, 0, 4, 0, 3, 4, 2, 0, 3, 2, 0, 3, 2, 1, 2, 4, 2, 2, 0, 0, 0, 0, 3, 2, 4, 0, 3, 0, 2, 0, 2, 2, 0, 4, 1, 3, 1, 2, 4, 2, 2, 4, 4, 2, 2, 0, 3, 3, 2, 4, 0, 4, 3, 0, 0, 2, 2, 0, 0, 1, 1, 3, 4, 1, 4, 1, 2, 2, 2, 0, 3, 1, 0, 0, 0, 4, 3, 2, 0, 0, 3, 4, 0, 2, 1, 4, 4, 4, 1, 0, 1, 2, 0, 2, 0, 2, 3, 1, 2, 2, 1, 3, 3, 0, 0, 2, 1, 1, 0, 1, 2, 1, 4, 3, 0, 2, 3, 1, 0, 1, 4, 1, 4, 1, 4, 3, 1, 2, 4, 4, 3, 3, 4, 0, 1, 3, 3, 4, 1, 3, 0, 0, 1] pubkeycol1486 = [4, 0, 3, 1, 1, 4, 3, 3, 0, 3, 3, 2, 1, 4, 4, 0, 1, 4, 1, 2, 4, 1, 1, 0, 4, 3, 3, 4, 3, 1, 0, 4, 0, 2, 0, 1, 2, 2, 1, 4, 0, 1, 4, 3, 4, 1, 4, 2, 3, 4, 3, 3, 4, 1, 3, 0, 0, 4, 1, 3, 0, 2, 2, 4, 1, 1, 1, 4, 0, 0, 3, 0, 2, 3, 4, 4, 1, 2, 2, 3, 3, 0, 4, 2, 0, 2, 1, 1, 4, 2, 1, 3, 4, 4, 4, 3, 2, 2, 3, 2, 1, 3, 1, 3, 4, 3, 2, 2, 2, 0, 1, 2, 4, 0, 3, 3, 0, 3, 3, 4, 0, 0, 1, 4, 2, 1, 1, 3, 2, 1, 1, 2, 3, 4, 3, 0, 4, 0, 2, 3, 4, 1, 1, 3, 2, 4, 3, 4, 0, 1, 2, 4, 0, 1, 1, 1, 0, 2, 0, 2, 3, 0, 1, 4, 2, 2, 4, 4, 1, 4, 0, 3, 3, 2, 0, 1, 3, 0, 2, 4, 3, 0, 3, 2, 3, 4, 2, 4, 2, 0, 4, 4, 3, 1, 4, 1, 3, 2, 0, 1, 0, 2, 3, 1, 3, 0, 0, 2, 3, 1, 2, 2, 4, 1, 2, 1, 3, 2, 1, 2, 0, 2, 0, 0, 1, 2, 4, 0, 4, 4, 0, 0, 0, 1, 4, 1, 4, 0, 1, 4, 4, 0, 3, 0, 3, 1, 3, 4, 4, 4, 0, 2, 1, 3, 3, 4, 3, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 4, 1, 1, 3, 1, 3, 2, 4, 4, 2, 4, 4, 1, 3, 0, 0, 4, 1, 3, 2, 2, 4, 2, 4, 0, 0, 1, 4, 3, 2, 3, 4, 3, 3, 0, 2, 2, 1, 3, 4, 1, 1, 0, 2, 2, 4, 0, 2, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 3, 0, 1, 0, 1, 1, 1, 2, 4, 1, 1, 0, 4, 0, 2, 3, 2, 0, 0, 3, 3, 2, 4, 3, 3, 1, 3, 1, 2, 1, 4, 3, 3, 1, 1, 1, 3, 3, 0, 0, 2, 0, 0, 1, 1, 3, 2, 2, 4, 3, 0, 0, 2, 2, 3, 4, 1, 0, 1, 2, 4, 1, 0, 4, 2, 0, 2, 1, 4, 4, 2, 3, 2, 1, 4, 4, 4, 1, 4, 4, 1, 0, 1, 1, 3, 2, 1, 0, 4, 4, 0, 3, 4, 3, 1, 1, 0, 4, 0, 0, 4, 1, 1, 0, 1, 2, 2, 1, 4, 1, 3, 4, 2, 1, 4, 3, 4, 2, 1, 2, 3, 1, 0, 1, 4, 0, 2, 4, 1, 2, 4, 0, 2, 4, 0, 2, 4, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 3, 1, 3, 1, 0] pubkeycol1487 = [0, 1, 4, 4, 1, 0, 3, 4, 0, 1, 3, 3, 3, 4, 3, 2, 3, 0, 1, 4, 4, 2, 3, 3, 1, 0, 1, 2, 1, 4, 1, 4, 1, 1, 1, 3, 4, 4, 0, 2, 2, 4, 3, 4, 0, 3, 3, 4, 2, 4, 1, 1, 2, 0, 1, 4, 3, 3, 4, 3, 4, 1, 4, 2, 1, 3, 3, 3, 4, 3, 0, 2, 3, 0, 1, 2, 0, 4, 4, 1, 2, 1, 2, 2, 0, 4, 4, 1, 2, 0, 4, 2, 1, 0, 4, 0, 3, 4, 2, 4, 4, 3, 1, 1, 1, 4, 0, 1, 0, 2, 1, 1, 3, 2, 0, 4, 1, 2, 2, 4, 1, 1, 1, 1, 3, 4, 2, 4, 3, 3, 1, 3, 1, 4, 2, 2, 2, 3, 0, 0, 4, 0, 2, 4, 2, 1, 3, 0, 1, 3, 4, 0, 4, 1, 4, 2, 3, 0, 2, 4, 0, 3, 3, 3, 2, 3, 0, 3, 1, 1, 1, 4, 3, 1, 1, 0, 1, 0, 2, 3, 3, 3, 2, 4, 4, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 4, 1, 2, 3, 3, 3, 1, 0, 0, 0, 1, 4, 4, 4, 0, 4, 3, 1, 3, 2, 0, 1, 3, 4, 4, 2, 1, 0, 3, 3, 3, 1, 1, 4, 1, 1, 0, 3, 2, 0, 0, 0, 1, 2, 0, 0, 2, 4, 3, 1, 0, 1, 0, 3, 2, 3, 3, 2, 2, 4, 2, 0, 2, 4, 1, 2, 2, 1, 2, 0, 2, 4, 4, 0, 2, 2, 3, 4, 1, 1, 1, 0, 2, 3, 3, 1, 4, 1, 1, 2, 0, 2, 4, 1, 1, 4, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 4, 2, 4, 4, 4, 4, 3, 1, 2, 0, 3, 4, 0, 4, 2, 0, 0, 1, 1, 1, 0, 4, 3, 1, 0, 4, 1, 0, 2, 4, 1, 2, 3, 3, 0, 1, 2, 4, 1, 3, 2, 1, 0, 3, 4, 4, 0, 0, 0, 1, 3, 3, 4, 1, 3, 1, 1, 4, 4, 0, 2, 2, 3, 0, 3, 4, 4, 2, 4, 4, 4, 2, 1, 1, 4, 4, 2, 1, 0, 4, 2, 2, 1, 4, 3, 1, 3, 2, 3, 4, 3, 1, 1, 4, 2, 1, 2, 0, 0, 1, 2, 0, 4, 1, 1, 4, 2, 1, 1, 0, 4, 0, 1, 4, 1, 0, 3, 3, 4, 4, 3, 1, 4, 4, 1, 2, 4, 4, 0, 1, 1, 4, 1, 2, 2, 3, 3, 2, 2, 2, 4, 2, 3, 2, 2, 3, 3, 2, 1, 3, 4, 4, 3, 4, 0, 0, 0, 1, 3, 0, 3, 1, 1, 3, 1, 1, 1, 4, 1, 1, 0, 2, 2, 1, 1, 2, 4, 1] pubkeycol1488 = [3, 1, 1, 1, 1, 4, 4, 3, 1, 3, 4, 4, 2, 3, 1, 0, 4, 4, 3, 0, 0, 3, 3, 4, 1, 4, 1, 3, 4, 3, 1, 0, 0, 4, 3, 4, 1, 3, 1, 4, 3, 1, 4, 2, 1, 2, 0, 2, 4, 4, 4, 2, 4, 3, 1, 1, 3, 2, 3, 3, 2, 2, 1, 4, 1, 3, 2, 1, 1, 1, 0, 3, 0, 4, 3, 1, 1, 4, 4, 4, 0, 0, 3, 1, 2, 4, 0, 0, 1, 2, 3, 0, 2, 1, 4, 0, 2, 2, 4, 0, 2, 1, 1, 4, 4, 4, 2, 4, 2, 4, 4, 3, 3, 4, 2, 3, 4, 4, 3, 1, 4, 2, 4, 4, 3, 4, 2, 4, 1, 0, 3, 3, 2, 2, 2, 4, 0, 3, 2, 3, 1, 2, 3, 1, 2, 2, 3, 4, 4, 3, 2, 2, 0, 3, 4, 0, 3, 3, 1, 1, 4, 2, 1, 4, 3, 4, 1, 1, 1, 4, 4, 2, 4, 3, 1, 0, 1, 2, 0, 2, 3, 2, 2, 3, 0, 4, 2, 1, 3, 3, 2, 1, 4, 2, 0, 4, 3, 1, 0, 3, 2, 3, 2, 1, 4, 3, 4, 0, 1, 2, 0, 3, 2, 3, 4, 3, 3, 1, 1, 0, 3, 1, 1, 4, 1, 4, 4, 0, 4, 2, 1, 2, 4, 1, 1, 0, 2, 0, 2, 3, 3, 3, 1, 2, 0, 0, 0, 3, 0, 3, 1, 1, 3, 1, 2, 0, 4, 2, 4, 4, 1, 2, 2, 0, 2, 0, 4, 0, 0, 3, 3, 3, 3, 4, 0, 4, 1, 0, 3, 2, 2, 0, 4, 4, 4, 4, 1, 1, 0, 3, 3, 3, 4, 1, 2, 2, 2, 3, 1, 1, 0, 3, 1, 2, 0, 1, 0, 3, 2, 3, 3, 2, 4, 2, 3, 4, 1, 4, 4, 4, 2, 3, 0, 0, 4, 0, 0, 2, 1, 3, 0, 3, 2, 3, 2, 1, 1, 1, 4, 2, 4, 2, 1, 0, 3, 0, 0, 0, 4, 0, 4, 4, 1, 0, 0, 1, 2, 1, 4, 3, 1, 3, 1, 0, 3, 0, 3, 2, 1, 1, 0, 1, 4, 0, 0, 3, 4, 1, 2, 2, 3, 3, 2, 2, 1, 3, 3, 0, 3, 4, 2, 3, 1, 1, 4, 0, 4, 2, 4, 1, 1, 0, 4, 0, 4, 2, 4, 3, 2, 2, 2, 1, 4, 4, 2, 4, 3, 2, 3, 3, 2, 2, 3, 1, 4, 0, 2, 1, 0, 2, 0, 3, 0, 1, 4, 1, 1, 1, 4, 1, 0, 2, 4, 0, 4, 4, 4, 3, 1, 2, 3, 3, 0, 4, 4, 1, 0, 0, 2, 3, 4, 1, 2, 4, 4, 0, 1, 1, 3, 4, 3, 3, 4, 1, 1, 0, 3, 4, 2, 0] pubkeycol1489 = [1, 2, 1, 1, 4, 4, 3, 2, 2, 1, 4, 0, 1, 2, 2, 2, 1, 0, 1, 4, 2, 2, 3, 4, 3, 1, 3, 4, 4, 4, 0, 4, 1, 1, 1, 2, 4, 1, 3, 2, 2, 2, 2, 1, 1, 4, 0, 4, 1, 3, 2, 3, 0, 4, 4, 0, 1, 1, 1, 4, 0, 3, 1, 2, 3, 0, 2, 3, 4, 2, 2, 2, 3, 3, 2, 2, 2, 1, 4, 2, 3, 0, 3, 2, 4, 0, 2, 3, 0, 0, 0, 0, 2, 2, 0, 0, 1, 4, 1, 1, 0, 1, 3, 2, 4, 0, 3, 1, 3, 2, 2, 4, 1, 1, 4, 0, 2, 3, 4, 0, 3, 1, 4, 0, 4, 0, 4, 0, 1, 4, 1, 2, 2, 4, 2, 1, 2, 3, 3, 4, 4, 3, 0, 4, 1, 2, 2, 0, 4, 1, 3, 0, 3, 3, 2, 0, 2, 0, 3, 2, 1, 3, 0, 1, 3, 4, 3, 0, 1, 3, 1, 4, 2, 1, 0, 3, 2, 4, 2, 1, 0, 3, 4, 2, 1, 4, 1, 4, 0, 4, 3, 3, 4, 1, 2, 4, 4, 3, 2, 2, 2, 2, 0, 1, 0, 3, 0, 4, 0, 4, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 3, 1, 0, 4, 3, 4, 0, 2, 2, 3, 1, 4, 2, 3, 4, 3, 3, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 3, 2, 0, 3, 2, 0, 4, 3, 3, 4, 1, 1, 4, 0, 3, 2, 3, 1, 1, 2, 2, 0, 4, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 3, 2, 1, 3, 4, 3, 4, 2, 4, 0, 0, 1, 1, 0, 1, 1, 1, 3, 2, 2, 3, 3, 1, 1, 0, 2, 4, 2, 1, 2, 1, 4, 0, 3, 2, 1, 1, 2, 3, 3, 3, 0, 1, 1, 2, 1, 4, 1, 1, 2, 1, 2, 3, 1, 4, 1, 1, 4, 1, 4, 4, 1, 3, 2, 0, 0, 0, 3, 0, 0, 2, 0, 1, 3, 0, 0, 1, 2, 1, 1, 3, 4, 1, 4, 2, 1, 2, 3, 1, 1, 0, 3, 2, 0, 3, 4, 1, 1, 4, 4, 0, 2, 4, 2, 2, 0, 1, 0, 3, 4, 1, 1, 0, 3, 1, 0, 1, 1, 1, 3, 0, 0, 3, 0, 1, 4, 3, 4, 2, 3, 4, 3, 2, 2, 1, 1, 4, 4, 0, 2, 0, 3, 3, 1, 1, 4, 1, 4, 2, 4, 2, 0, 4, 2, 4, 4, 4, 3, 1, 2, 0, 1, 2, 1, 2, 3, 1, 4, 3, 1, 3, 0, 0, 3, 2, 2, 2, 4, 0, 0, 1, 3, 4, 4, 3, 3, 0, 1, 2, 3, 1, 0, 3, 4, 1, 4, 1, 1] pubkeycol1490 = [1, 3, 1, 0, 2, 2, 1, 4, 3, 0, 0, 1, 4, 1, 0, 2, 0, 3, 2, 0, 3, 4, 3, 2, 3, 3, 0, 3, 0, 0, 0, 2, 1, 4, 2, 1, 3, 0, 3, 1, 2, 1, 1, 2, 1, 4, 4, 3, 2, 4, 0, 0, 2, 3, 0, 1, 4, 1, 3, 0, 2, 3, 0, 0, 1, 2, 4, 2, 0, 4, 4, 3, 3, 1, 1, 4, 0, 0, 1, 3, 2, 4, 1, 4, 0, 0, 3, 1, 2, 4, 0, 1, 4, 2, 4, 4, 4, 0, 3, 3, 4, 1, 1, 3, 0, 0, 3, 0, 4, 0, 2, 4, 1, 2, 3, 1, 3, 0, 0, 0, 1, 4, 0, 2, 3, 4, 0, 2, 4, 1, 4, 0, 2, 2, 0, 3, 1, 0, 4, 3, 3, 4, 1, 2, 1, 1, 1, 1, 2, 3, 2, 4, 0, 2, 1, 4, 3, 0, 0, 0, 1, 0, 0, 0, 4, 1, 2, 4, 3, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 3, 1, 0, 4, 2, 1, 2, 2, 2, 3, 2, 0, 1, 1, 4, 2, 4, 2, 2, 4, 2, 4, 2, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 3, 0, 4, 2, 0, 3, 2, 4, 4, 4, 1, 3, 2, 2, 3, 3, 3, 0, 1, 0, 1, 0, 1, 0, 3, 0, 2, 0, 2, 4, 1, 4, 0, 1, 2, 2, 2, 0, 0, 2, 4, 2, 1, 2, 4, 3, 0, 3, 2, 2, 0, 3, 1, 3, 4, 3, 2, 4, 2, 0, 0, 2, 3, 0, 2, 1, 3, 2, 1, 1, 4, 3, 1, 1, 3, 0, 2, 3, 1, 0, 3, 3, 3, 3, 0, 4, 0, 1, 4, 1, 4, 0, 3, 0, 3, 4, 3, 3, 1, 0, 3, 4, 3, 0, 0, 3, 4, 3, 4, 0, 4, 0, 0, 0, 0, 4, 2, 1, 1, 2, 2, 1, 4, 0, 2, 3, 2, 0, 0, 2, 4, 0, 3, 4, 1, 3, 2, 4, 4, 2, 0, 4, 4, 1, 2, 0, 3, 4, 2, 4, 2, 4, 3, 1, 3, 4, 4, 3, 4, 4, 2, 2, 0, 1, 1, 0, 1, 1, 4, 0, 4, 1, 3, 1, 0, 1, 3, 0, 0, 4, 0, 3, 2, 4, 1, 2, 1, 2, 1, 0, 2, 1, 4, 1, 4, 2, 3, 3, 3, 0, 2, 4, 4, 0, 2, 1, 4, 1, 0, 2, 1, 4, 1, 0, 4, 1, 0, 0, 0, 0, 0, 1, 1, 2, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 0, 1, 3, 1, 3, 0, 3, 4, 2, 4, 3, 4, 1, 1, 3, 3, 1, 4, 4, 4, 1, 1, 4, 1, 2, 2, 0, 4, 1, 0, 0, 4, 4] pubkeycol1491 = [1, 0, 1, 3, 0, 4, 0, 2, 2, 4, 3, 2, 1, 3, 0, 4, 1, 4, 3, 2, 2, 3, 0, 0, 1, 1, 2, 1, 4, 2, 2, 4, 4, 3, 4, 2, 4, 0, 1, 1, 1, 2, 2, 1, 4, 0, 2, 2, 3, 0, 1, 0, 4, 2, 1, 3, 2, 3, 1, 4, 2, 0, 4, 0, 2, 2, 4, 2, 4, 4, 2, 2, 0, 0, 0, 4, 2, 2, 2, 1, 4, 3, 1, 2, 3, 3, 0, 2, 1, 0, 3, 3, 2, 1, 3, 1, 4, 0, 4, 4, 3, 1, 4, 3, 2, 0, 0, 2, 4, 2, 1, 4, 3, 4, 1, 1, 3, 0, 1, 0, 1, 1, 4, 1, 3, 4, 1, 0, 3, 0, 3, 4, 3, 2, 2, 2, 1, 2, 4, 4, 2, 2, 1, 2, 4, 3, 4, 4, 0, 1, 0, 2, 2, 4, 1, 2, 3, 3, 4, 3, 0, 4, 1, 2, 0, 4, 1, 4, 0, 4, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 3, 2, 2, 2, 0, 4, 3, 3, 3, 1, 2, 4, 4, 2, 4, 2, 2, 2, 2, 2, 0, 1, 0, 4, 2, 0, 1, 4, 3, 2, 4, 1, 2, 2, 4, 2, 4, 1, 0, 0, 4, 1, 3, 4, 4, 4, 3, 1, 4, 1, 4, 4, 0, 4, 2, 3, 2, 0, 1, 4, 0, 0, 0, 0, 4, 3, 0, 0, 1, 2, 1, 2, 0, 0, 3, 4, 0, 2, 3, 1, 3, 3, 4, 1, 3, 2, 4, 4, 0, 3, 0, 4, 2, 0, 3, 1, 2, 2, 2, 0, 2, 3, 1, 3, 1, 4, 4, 1, 1, 1, 0, 3, 0, 2, 2, 1, 4, 0, 2, 3, 3, 3, 1, 4, 2, 0, 4, 0, 0, 3, 3, 1, 3, 1, 3, 1, 0, 2, 3, 1, 0, 3, 0, 2, 2, 2, 3, 0, 2, 1, 4, 1, 1, 1, 1, 1, 4, 4, 2, 1, 4, 0, 2, 1, 2, 1, 2, 4, 4, 1, 4, 2, 1, 4, 1, 3, 1, 0, 4, 0, 4, 4, 2, 2, 4, 0, 3, 2, 3, 1, 0, 4, 4, 2, 2, 4, 3, 1, 1, 2, 1, 0, 3, 2, 4, 0, 1, 1, 2, 1, 4, 3, 1, 3, 1, 1, 0, 0, 4, 1, 2, 1, 4, 1, 0, 0, 3, 3, 4, 0, 2, 1, 0, 2, 3, 2, 0, 0, 0, 1, 2, 1, 0, 2, 3, 4, 4, 1, 1, 0, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 3, 3, 2, 0, 4, 2, 2, 4, 0, 2, 4, 2, 1, 1, 4, 1, 4, 4, 1, 3, 3, 0, 4, 1, 3, 4, 3, 0, 0, 4, 1] pubkeycol1492 = [0, 3, 0, 0, 0, 0, 2, 4, 4, 3, 1, 3, 2, 1, 0, 1, 3, 0, 4, 4, 4, 0, 3, 4, 0, 1, 2, 2, 3, 3, 1, 4, 0, 2, 1, 0, 3, 1, 2, 0, 2, 4, 0, 1, 4, 4, 2, 0, 4, 2, 3, 1, 1, 2, 3, 1, 4, 4, 2, 1, 0, 1, 0, 2, 0, 1, 3, 3, 0, 2, 0, 2, 3, 1, 3, 2, 3, 1, 1, 2, 1, 3, 2, 2, 3, 4, 2, 4, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 3, 4, 2, 0, 3, 3, 2, 0, 1, 2, 2, 4, 1, 0, 4, 1, 0, 3, 2, 1, 1, 1, 3, 4, 4, 3, 1, 3, 4, 2, 1, 0, 4, 2, 2, 4, 0, 4, 1, 3, 0, 2, 0, 0, 1, 3, 3, 3, 2, 0, 3, 1, 2, 0, 2, 3, 2, 1, 1, 3, 0, 3, 4, 3, 4, 3, 1, 1, 0, 4, 3, 1, 2, 2, 0, 2, 0, 4, 3, 1, 3, 4, 4, 1, 0, 0, 0, 0, 4, 4, 2, 1, 4, 3, 3, 3, 1, 2, 2, 4, 1, 1, 1, 0, 3, 4, 0, 4, 2, 0, 4, 4, 0, 2, 2, 3, 3, 1, 4, 3, 3, 4, 0, 1, 4, 3, 4, 3, 4, 3, 2, 2, 1, 1, 1, 3, 0, 0, 3, 2, 1, 0, 2, 4, 4, 1, 2, 3, 3, 4, 4, 3, 1, 1, 4, 3, 4, 4, 3, 0, 1, 0, 0, 3, 3, 1, 0, 4, 2, 1, 0, 3, 3, 3, 3, 2, 1, 3, 4, 4, 0, 2, 0, 1, 1, 3, 0, 4, 4, 1, 3, 4, 1, 3, 0, 2, 1, 0, 4, 2, 4, 4, 1, 2, 1, 4, 3, 2, 2, 2, 0, 2, 2, 1, 2, 1, 4, 2, 1, 0, 1, 4, 3, 3, 3, 2, 0, 2, 4, 0, 2, 2, 1, 0, 2, 4, 4, 0, 1, 1, 3, 0, 2, 4, 3, 0, 0, 4, 0, 3, 3, 3, 0, 3, 3, 1, 4, 4, 3, 2, 0, 2, 4, 2, 3, 4, 1, 4, 0, 0, 4, 3, 1, 0, 2, 4, 4, 4, 2, 1, 4, 0, 4, 0, 0, 2, 3, 3, 1, 3, 0, 3, 3, 0, 3, 3, 0, 4, 3, 2, 0, 2, 3, 0, 3, 0, 1, 2, 3, 3, 0, 1, 3, 3, 1, 1, 0, 3, 3, 4, 4, 0, 3, 4, 4, 0, 1, 0, 1, 0, 0, 2, 4, 2, 2, 3, 4, 1, 4, 3, 3, 2, 2, 1, 1, 1, 2, 4, 0, 3, 1, 3, 1, 0, 4, 3, 2, 0, 2, 0, 4, 4, 0, 1, 1, 1, 0, 4, 0, 3, 0, 2, 2, 0, 2, 3, 2, 1, 2, 4, 3, 1] pubkeycol1493 = [2, 1, 0, 2, 2, 1, 1, 1, 3, 4, 4, 2, 1, 4, 2, 4, 4, 2, 2, 2, 3, 4, 2, 2, 3, 0, 2, 3, 1, 2, 1, 4, 4, 4, 4, 3, 2, 0, 3, 2, 3, 2, 4, 1, 1, 3, 0, 4, 1, 0, 0, 2, 1, 2, 0, 1, 4, 2, 1, 1, 1, 0, 2, 1, 2, 4, 3, 0, 3, 4, 1, 0, 3, 2, 3, 3, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 4, 1, 4, 0, 4, 4, 1, 3, 1, 0, 0, 2, 3, 1, 0, 2, 2, 0, 4, 4, 0, 1, 3, 0, 2, 4, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 3, 4, 1, 4, 3, 0, 0, 4, 1, 4, 3, 1, 0, 0, 0, 0, 3, 3, 3, 1, 1, 1, 4, 1, 1, 2, 3, 0, 4, 4, 3, 4, 2, 2, 3, 3, 3, 0, 2, 0, 4, 1, 4, 2, 2, 4, 1, 1, 2, 3, 3, 4, 4, 0, 0, 4, 3, 1, 3, 1, 1, 1, 4, 4, 3, 0, 2, 2, 1, 0, 0, 2, 1, 3, 0, 1, 4, 3, 3, 0, 3, 0, 3, 0, 0, 4, 2, 2, 3, 4, 2, 3, 1, 0, 0, 4, 2, 3, 0, 4, 2, 0, 3, 0, 1, 3, 2, 3, 4, 1, 0, 4, 4, 4, 1, 3, 4, 1, 4, 4, 3, 0, 0, 1, 0, 0, 4, 3, 4, 4, 1, 4, 0, 4, 1, 4, 1, 3, 1, 1, 4, 2, 4, 4, 2, 0, 0, 0, 3, 1, 2, 3, 1, 4, 0, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 0, 0, 4, 2, 1, 0, 3, 1, 3, 3, 2, 4, 4, 4, 2, 3, 4, 0, 1, 0, 4, 3, 4, 0, 3, 4, 1, 4, 0, 2, 2, 2, 4, 0, 2, 1, 3, 2, 3, 1, 4, 3, 3, 0, 1, 2, 4, 3, 2, 4, 1, 2, 4, 3, 3, 0, 3, 0, 0, 3, 4, 2, 3, 2, 2, 2, 4, 1, 1, 0, 1, 1, 4, 4, 3, 3, 4, 3, 3, 2, 1, 0, 1, 4, 3, 3, 2, 2, 1, 4, 1, 0, 4, 4, 2, 3, 3, 4, 3, 3, 0, 3, 4, 0, 3, 3, 0, 3, 4, 0, 0, 2, 3, 2, 3, 2, 3, 4, 4, 3, 0, 2, 1, 4, 0, 3, 1, 0, 2, 0, 4, 1, 4, 2, 0, 4, 4, 1, 0, 4, 2, 0, 0, 0, 2, 0, 0, 2, 1, 3, 4, 4, 2, 1, 4, 3, 0, 1, 0, 3, 2, 0, 4, 2, 1, 3, 2, 3, 0, 0, 3, 3, 0, 4, 3, 2, 3, 1, 1, 3, 2, 4, 3, 4, 3, 4, 3, 2, 1, 3, 3, 1, 0] pubkeycol1494 = [4, 3, 1, 1, 0, 1, 1, 4, 4, 1, 3, 4, 2, 0, 2, 4, 4, 1, 4, 0, 3, 4, 1, 2, 2, 4, 1, 2, 2, 2, 2, 0, 1, 2, 4, 0, 3, 3, 2, 2, 4, 3, 2, 0, 4, 4, 1, 1, 2, 0, 4, 2, 2, 1, 1, 4, 3, 2, 2, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 3, 0, 4, 4, 2, 4, 4, 3, 2, 1, 0, 2, 2, 1, 0, 1, 4, 1, 4, 4, 1, 2, 4, 0, 1, 0, 1, 2, 3, 4, 4, 0, 3, 0, 4, 1, 2, 3, 1, 3, 3, 2, 1, 1, 3, 1, 0, 3, 4, 0, 4, 4, 4, 4, 4, 3, 2, 0, 0, 2, 3, 3, 0, 0, 0, 1, 3, 3, 4, 4, 4, 4, 1, 0, 1, 3, 1, 1, 2, 3, 0, 0, 3, 4, 1, 1, 3, 3, 4, 1, 3, 2, 4, 0, 0, 2, 3, 0, 3, 1, 3, 4, 1, 4, 1, 3, 3, 3, 1, 0, 3, 2, 1, 4, 1, 3, 1, 3, 4, 1, 0, 0, 0, 3, 4, 4, 0, 1, 1, 0, 3, 4, 0, 2, 0, 0, 4, 4, 1, 0, 4, 1, 3, 3, 0, 2, 1, 4, 3, 4, 2, 4, 3, 1, 1, 2, 1, 2, 0, 4, 4, 4, 3, 3, 0, 3, 0, 2, 3, 1, 0, 4, 4, 1, 2, 4, 4, 2, 3, 3, 0, 2, 1, 3, 1, 1, 4, 2, 4, 4, 4, 4, 0, 3, 4, 0, 2, 3, 1, 1, 2, 4, 4, 2, 4, 1, 4, 2, 1, 2, 4, 4, 2, 2, 3, 4, 0, 0, 2, 4, 4, 1, 3, 0, 2, 3, 1, 0, 4, 0, 0, 2, 0, 1, 4, 4, 2, 4, 0, 2, 2, 4, 0, 2, 4, 2, 2, 0, 3, 4, 4, 1, 4, 2, 3, 0, 1, 0, 1, 1, 0, 2, 4, 4, 2, 4, 4, 3, 2, 4, 4, 2, 3, 0, 3, 1, 4, 2, 0, 4, 1, 2, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 2, 1, 3, 1, 2, 2, 3, 3, 0, 0, 2, 1, 0, 4, 1, 0, 2, 4, 1, 4, 4, 3, 4, 1, 4, 0, 4, 1, 3, 3, 3, 0, 3, 1, 3, 2, 4, 2, 2, 1, 2, 3, 2, 1, 1, 1, 2, 4, 1, 1, 3, 4, 1, 0, 1, 1, 0, 2, 4, 0, 4, 0, 1, 0, 4, 0, 1, 1, 3, 0, 4, 3, 1, 2, 4, 0, 1, 1, 3, 3, 2, 0, 0, 2, 4, 0, 4, 4, 3, 1, 0, 0, 0, 0, 4, 2, 4, 4, 2, 2, 1, 1, 4, 1, 0, 3, 3, 3, 0, 1, 2, 0, 0, 0, 4, 2] pubkeycol1495 = [0, 1, 0, 1, 0, 3, 3, 0, 0, 4, 2, 4, 0, 4, 0, 4, 3, 0, 4, 4, 1, 3, 2, 3, 1, 0, 3, 1, 4, 1, 0, 2, 1, 0, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 2, 3, 1, 2, 3, 1, 0, 1, 2, 2, 4, 1, 3, 2, 3, 3, 0, 4, 3, 2, 0, 3, 2, 1, 3, 0, 4, 2, 0, 1, 3, 4, 3, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 3, 3, 2, 2, 4, 4, 2, 0, 2, 2, 0, 0, 0, 3, 2, 3, 3, 1, 2, 4, 1, 2, 3, 2, 1, 4, 3, 2, 2, 3, 3, 0, 2, 1, 0, 3, 2, 0, 1, 2, 3, 4, 3, 4, 0, 0, 1, 1, 1, 3, 0, 3, 0, 1, 3, 4, 1, 3, 2, 1, 3, 4, 2, 3, 2, 4, 0, 4, 3, 3, 0, 4, 1, 1, 1, 4, 2, 0, 4, 1, 1, 1, 1, 3, 4, 4, 2, 2, 0, 2, 0, 1, 3, 2, 4, 2, 2, 1, 2, 1, 3, 0, 1, 0, 2, 0, 4, 2, 0, 3, 4, 3, 1, 4, 0, 1, 2, 3, 2, 3, 2, 2, 0, 4, 1, 2, 4, 1, 4, 3, 4, 2, 1, 3, 3, 3, 3, 2, 0, 4, 2, 1, 1, 1, 0, 1, 4, 1, 2, 3, 4, 4, 4, 4, 0, 1, 2, 2, 4, 0, 2, 3, 4, 1, 2, 3, 0, 0, 3, 0, 0, 0, 2, 1, 1, 3, 3, 1, 3, 4, 1, 3, 3, 2, 0, 4, 3, 0, 4, 3, 4, 3, 0, 1, 3, 3, 4, 3, 3, 1, 0, 4, 1, 0, 4, 0, 4, 3, 2, 2, 1, 4, 0, 1, 1, 0, 0, 2, 1, 3, 1, 2, 0, 2, 1, 2, 4, 4, 3, 4, 1, 2, 3, 3, 4, 0, 2, 4, 0, 0, 1, 0, 0, 2, 1, 4, 4, 1, 1, 1, 4, 1, 2, 3, 4, 3, 1, 4, 1, 1, 3, 0, 3, 3, 2, 3, 4, 0, 2, 1, 2, 4, 4, 2, 1, 4, 2, 4, 4, 0, 2, 3, 3, 1, 4, 0, 0, 3, 2, 4, 0, 3, 3, 3, 3, 1, 2, 3, 4, 0, 1, 1, 3, 1, 0, 4, 0, 1, 0, 3, 4, 3, 1, 2, 1, 1, 2, 4, 3, 3, 4, 1, 0, 3, 4, 3, 0, 2, 0, 4, 3, 1, 3, 0, 1, 2, 2, 4, 1, 3, 1, 1, 4, 3, 4, 3, 2, 0, 3, 2, 2, 3, 1, 3, 1, 1, 1, 0, 1, 0, 3, 0, 1, 2, 3, 1, 3, 0, 2, 2, 3, 1, 4, 1, 4, 3, 0, 3, 1, 3, 2, 3, 2, 2, 3, 1, 3, 1, 3, 2, 0] pubkeycol1496 = [4, 2, 4, 0, 4, 3, 4, 3, 3, 2, 2, 4, 0, 3, 4, 3, 0, 1, 0, 1, 2, 4, 4, 0, 3, 1, 1, 1, 3, 2, 0, 0, 0, 2, 1, 4, 2, 3, 2, 0, 0, 4, 0, 1, 1, 0, 2, 3, 2, 2, 4, 1, 1, 2, 3, 2, 4, 2, 3, 0, 4, 3, 3, 4, 4, 2, 3, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 3, 1, 0, 2, 2, 4, 4, 2, 0, 2, 4, 4, 4, 2, 2, 0, 0, 3, 1, 4, 4, 4, 3, 4, 0, 0, 1, 0, 1, 1, 1, 1, 4, 0, 2, 4, 3, 0, 1, 0, 1, 2, 0, 4, 1, 2, 4, 2, 1, 0, 0, 3, 4, 2, 3, 0, 4, 1, 3, 3, 3, 4, 3, 0, 3, 4, 4, 0, 3, 4, 1, 4, 1, 0, 1, 4, 1, 0, 3, 3, 4, 0, 2, 4, 4, 0, 1, 4, 4, 1, 3, 4, 0, 2, 3, 0, 2, 0, 1, 1, 4, 0, 1, 3, 2, 4, 2, 1, 2, 1, 4, 4, 4, 1, 2, 4, 2, 3, 1, 4, 3, 0, 4, 0, 4, 0, 2, 2, 1, 2, 1, 3, 2, 0, 2, 1, 2, 4, 4, 0, 4, 1, 0, 0, 4, 4, 2, 4, 2, 3, 2, 1, 4, 4, 0, 1, 3, 4, 3, 0, 4, 3, 2, 0, 2, 4, 2, 2, 3, 2, 0, 0, 3, 2, 4, 1, 3, 3, 0, 4, 2, 1, 3, 0, 0, 4, 2, 4, 4, 0, 2, 2, 3, 0, 0, 4, 3, 2, 2, 4, 1, 2, 2, 1, 0, 3, 1, 4, 1, 4, 3, 1, 2, 3, 2, 2, 2, 0, 0, 4, 3, 2, 2, 4, 0, 3, 2, 4, 0, 4, 4, 3, 4, 3, 3, 2, 3, 0, 2, 0, 0, 0, 0, 3, 4, 0, 2, 0, 3, 1, 1, 0, 0, 2, 0, 3, 0, 1, 4, 2, 3, 3, 0, 0, 0, 1, 3, 4, 0, 1, 0, 3, 0, 4, 0, 1, 1, 2, 0, 3, 2, 4, 0, 3, 0, 1, 2, 0, 0, 2, 4, 2, 2, 1, 0, 1, 4, 0, 0, 3, 1, 4, 2, 2, 3, 1, 2, 2, 3, 3, 4, 3, 3, 0, 1, 4, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 4, 2, 4, 1, 1, 1, 4, 0, 2, 4, 1, 2, 3, 3, 1, 0, 2, 3, 1, 3, 4, 1, 0, 0, 0, 0, 0, 4, 2, 1, 0, 3, 0, 3, 4, 3, 3, 4, 1, 0, 4, 2, 2, 4, 3, 4, 2, 4, 2, 0, 4, 3, 0, 4, 1, 0, 3, 1, 3, 0, 3, 0, 4, 1, 3, 2] pubkeycol1497 = [1, 2, 2, 3, 0, 3, 0, 4, 4, 1, 2, 4, 1, 4, 3, 0, 1, 1, 2, 1, 4, 3, 2, 1, 1, 0, 0, 3, 4, 0, 2, 2, 1, 4, 4, 1, 2, 0, 1, 1, 3, 3, 0, 0, 2, 3, 0, 0, 0, 2, 1, 2, 2, 2, 1, 3, 4, 4, 1, 4, 3, 0, 2, 0, 2, 3, 4, 4, 0, 3, 2, 2, 2, 4, 1, 1, 0, 3, 3, 1, 0, 2, 3, 1, 0, 1, 1, 1, 4, 1, 1, 4, 0, 2, 3, 1, 1, 3, 1, 4, 4, 2, 1, 4, 3, 4, 3, 2, 1, 0, 0, 4, 0, 1, 1, 3, 2, 1, 4, 2, 1, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 4, 1, 0, 4, 0, 1, 4, 0, 3, 2, 1, 4, 2, 3, 4, 2, 3, 4, 2, 4, 0, 0, 1, 3, 0, 1, 3, 0, 4, 1, 2, 1, 4, 3, 3, 3, 4, 2, 0, 2, 4, 0, 2, 3, 1, 4, 3, 4, 4, 1, 0, 0, 0, 4, 2, 4, 0, 0, 4, 3, 3, 0, 0, 1, 3, 1, 0, 0, 1, 0, 2, 3, 1, 4, 1, 1, 0, 2, 1, 2, 2, 2, 3, 4, 3, 2, 3, 3, 0, 0, 4, 1, 1, 1, 0, 4, 1, 0, 4, 2, 2, 3, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 4, 0, 4, 0, 0, 3, 0, 1, 3, 3, 1, 0, 0, 3, 4, 4, 0, 1, 1, 2, 4, 2, 0, 0, 3, 1, 1, 2, 3, 4, 1, 2, 0, 1, 1, 4, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 1, 1, 2, 4, 2, 3, 1, 2, 4, 2, 4, 2, 4, 3, 0, 1, 2, 2, 2, 1, 4, 1, 0, 3, 3, 2, 1, 3, 3, 3, 1, 1, 2, 3, 1, 0, 1, 0, 3, 2, 3, 3, 3, 0, 3, 2, 0, 2, 2, 1, 1, 2, 0, 2, 3, 4, 2, 0, 4, 1, 3, 1, 1, 0, 2, 4, 0, 1, 4, 2, 4, 3, 2, 1, 3, 2, 4, 4, 2, 3, 4, 2, 0, 4, 0, 0, 4, 2, 0, 1, 4, 2, 3, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 4, 3, 1, 1, 0, 4, 0, 1, 0, 2, 3, 3, 3, 2, 1, 0, 0, 3, 2, 1, 0, 0, 0, 4, 0, 2, 0, 2, 0, 2, 1, 2, 3, 1, 2, 0, 4, 3, 3, 2, 2, 4, 2, 3, 2, 0, 1, 1, 4, 1, 2, 0, 1, 2, 4, 3, 2, 2, 3, 3, 3, 1, 1, 1, 2, 4, 2, 2, 0, 0, 3, 0, 1, 0, 3, 2, 0, 4, 1, 4, 1, 0] pubkeycol1498 = [1, 1, 3, 2, 3, 0, 4, 0, 4, 3, 1, 3, 0, 1, 2, 2, 2, 3, 3, 4, 1, 2, 3, 3, 3, 1, 0, 4, 3, 2, 1, 3, 0, 0, 1, 2, 4, 3, 1, 2, 1, 2, 4, 0, 1, 4, 1, 1, 3, 1, 1, 1, 1, 0, 2, 4, 0, 0, 2, 4, 2, 0, 1, 3, 4, 0, 1, 2, 1, 3, 0, 1, 0, 4, 4, 4, 1, 0, 3, 0, 4, 4, 3, 1, 3, 2, 4, 3, 4, 3, 3, 3, 2, 2, 1, 4, 3, 0, 0, 0, 4, 4, 3, 0, 3, 4, 0, 3, 4, 3, 3, 1, 0, 3, 0, 2, 1, 1, 4, 1, 3, 1, 3, 2, 1, 4, 0, 1, 4, 3, 4, 4, 0, 0, 4, 1, 2, 3, 2, 2, 3, 1, 4, 1, 0, 3, 4, 4, 3, 4, 4, 3, 3, 1, 1, 1, 1, 2, 0, 2, 3, 2, 2, 0, 4, 3, 3, 4, 0, 2, 3, 2, 1, 4, 2, 4, 2, 2, 2, 4, 0, 0, 3, 3, 2, 1, 1, 3, 3, 3, 3, 4, 0, 0, 4, 4, 4, 3, 3, 3, 2, 0, 1, 3, 2, 3, 1, 3, 1, 4, 4, 4, 3, 0, 0, 0, 2, 3, 1, 2, 2, 2, 4, 3, 4, 0, 3, 0, 1, 2, 1, 4, 0, 4, 0, 1, 1, 2, 0, 0, 3, 2, 0, 0, 1, 3, 4, 4, 2, 3, 4, 4, 1, 4, 0, 4, 3, 2, 3, 0, 1, 1, 4, 4, 3, 0, 1, 2, 3, 2, 2, 1, 1, 1, 4, 3, 0, 1, 0, 4, 0, 2, 4, 4, 4, 4, 1, 1, 1, 1, 1, 3, 0, 3, 4, 1, 4, 1, 1, 2, 4, 4, 1, 1, 1, 4, 4, 0, 1, 2, 4, 0, 2, 3, 2, 1, 0, 4, 4, 0, 2, 0, 3, 4, 4, 4, 3, 1, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 1, 1, 1, 3, 3, 3, 0, 0, 3, 4, 2, 0, 1, 2, 0, 3, 1, 1, 1, 0, 1, 0, 1, 1, 1, 4, 2, 0, 2, 4, 0, 3, 1, 1, 2, 1, 4, 4, 3, 1, 0, 2, 2, 4, 1, 1, 1, 2, 0, 2, 3, 2, 3, 3, 4, 2, 0, 1, 3, 3, 2, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 2, 4, 3, 0, 1, 1, 0, 4, 4, 0, 0, 3, 4, 4, 3, 3, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 2, 3, 2, 1, 3, 4, 1, 0, 0, 2, 4, 0, 2, 0, 0, 3, 4, 4, 1, 1, 0, 2, 3, 4, 1, 4, 0, 0, 1, 1, 1, 3, 0, 0, 0, 2, 4, 4, 3, 1, 0, 4, 4, 4, 4] pubkeycol1499 = [2, 2, 1, 3, 4, 2, 1, 0, 3, 4, 0, 1, 3, 2, 1, 4, 3, 4, 4, 4, 1, 4, 4, 4, 1, 2, 0, 1, 1, 2, 0, 0, 2, 4, 2, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 1, 1, 3, 4, 2, 4, 3, 0, 0, 1, 1, 3, 1, 2, 1, 4, 2, 0, 2, 0, 3, 1, 4, 0, 1, 2, 4, 0, 3, 0, 3, 0, 0, 2, 2, 1, 0, 3, 2, 0, 3, 0, 1, 4, 0, 4, 3, 1, 2, 0, 4, 0, 4, 2, 0, 2, 0, 0, 3, 3, 3, 2, 4, 4, 1, 3, 1, 4, 1, 4, 2, 3, 2, 3, 0, 2, 1, 2, 3, 1, 0, 0, 3, 2, 3, 1, 0, 3, 3, 0, 2, 2, 0, 3, 0, 1, 2, 2, 4, 3, 0, 0, 2, 2, 1, 4, 2, 0, 3, 3, 0, 2, 0, 3, 4, 2, 0, 0, 1, 3, 4, 4, 4, 4, 0, 1, 2, 2, 3, 2, 3, 0, 0, 1, 2, 1, 2, 2, 3, 0, 1, 1, 4, 2, 1, 2, 3, 2, 1, 0, 0, 1, 4, 4, 1, 1, 1, 4, 0, 3, 2, 4, 4, 3, 1, 3, 1, 4, 4, 0, 4, 0, 2, 2, 3, 0, 3, 1, 4, 2, 0, 4, 1, 4, 2, 3, 0, 4, 1, 4, 4, 0, 0, 2, 4, 1, 3, 4, 4, 3, 2, 3, 2, 3, 3, 4, 1, 3, 0, 4, 0, 3, 3, 4, 3, 2, 4, 4, 3, 2, 1, 2, 2, 4, 1, 3, 1, 2, 1, 0, 2, 4, 3, 2, 1, 3, 3, 1, 0, 1, 4, 2, 2, 0, 1, 4, 3, 3, 4, 3, 0, 3, 1, 3, 1, 4, 0, 1, 0, 1, 1, 2, 3, 4, 0, 2, 0, 4, 4, 4, 0, 4, 1, 3, 1, 1, 0, 4, 4, 4, 4, 3, 0, 3, 4, 3, 2, 4, 2, 1, 2, 0, 2, 1, 2, 3, 4, 0, 4, 4, 4, 2, 0, 1, 2, 1, 0, 3, 4, 4, 4, 3, 0, 2, 4, 4, 1, 4, 4, 2, 3, 1, 0, 3, 0, 0, 1, 0, 0, 2, 2, 0, 1, 3, 3, 2, 4, 0, 2, 4, 1, 4, 2, 3, 0, 2, 0, 3, 0, 3, 0, 2, 1, 2, 3, 3, 1, 3, 4, 0, 3, 0, 2, 2, 4, 0, 2, 2, 4, 2, 3, 4, 3, 4, 2, 3, 2, 0, 1, 3, 2, 0, 2, 1, 3, 1, 2, 0, 1, 2, 4, 3, 2, 0, 0, 1, 0, 1, 4, 4, 1, 4, 3, 3, 2, 1, 4, 3, 4, 0, 4, 4, 0, 3, 0, 1, 1, 2, 4, 4, 4, 3, 2, 2, 2, 1, 2, 1, 0, 3, 1, 4, 3, 1, 0] pubkeycol1500 = [0, 3, 3, 0, 4, 0, 3, 1, 1, 0, 3, 3, 4, 1, 1, 2, 3, 2, 1, 1, 2, 2, 2, 1, 3, 3, 3, 4, 4, 1, 1, 0, 1, 4, 0, 3, 4, 3, 3, 2, 4, 0, 3, 3, 4, 0, 3, 1, 0, 4, 3, 4, 2, 2, 0, 1, 3, 1, 0, 4, 4, 4, 3, 0, 0, 0, 2, 4, 2, 3, 4, 0, 1, 0, 0, 0, 2, 4, 4, 4, 4, 1, 1, 4, 0, 1, 0, 2, 1, 2, 4, 3, 0, 1, 0, 3, 3, 1, 4, 2, 0, 1, 4, 1, 0, 2, 2, 0, 0, 2, 3, 1, 4, 2, 4, 3, 4, 4, 4, 3, 1, 3, 1, 4, 4, 0, 3, 1, 1, 1, 2, 4, 3, 4, 2, 1, 1, 1, 0, 2, 4, 0, 3, 4, 2, 2, 0, 3, 4, 0, 4, 4, 4, 4, 3, 4, 3, 3, 2, 0, 4, 0, 0, 0, 4, 0, 3, 3, 0, 0, 2, 1, 0, 1, 3, 3, 2, 3, 2, 2, 4, 2, 4, 0, 3, 4, 0, 3, 4, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 4, 0, 1, 4, 1, 1, 3, 2, 4, 0, 3, 1, 0, 4, 3, 0, 3, 3, 0, 4, 3, 1, 2, 3, 3, 1, 3, 1, 4, 0, 2, 0, 1, 2, 2, 4, 3, 0, 1, 4, 1, 1, 3, 1, 2, 1, 1, 3, 3, 1, 4, 3, 1, 1, 1, 1, 1, 0, 2, 0, 0, 4, 2, 0, 4, 1, 3, 4, 0, 2, 1, 0, 4, 4, 4, 1, 0, 0, 3, 4, 0, 3, 3, 3, 0, 4, 0, 4, 1, 2, 2, 3, 4, 0, 4, 0, 0, 3, 4, 1, 0, 1, 2, 2, 2, 2, 2, 0, 3, 2, 4, 4, 0, 2, 1, 3, 2, 0, 4, 3, 0, 1, 4, 0, 1, 1, 0, 4, 2, 2, 2, 1, 4, 0, 1, 0, 1, 0, 1, 1, 3, 2, 3, 3, 0, 0, 2, 3, 2, 1, 3, 2, 4, 4, 1, 2, 3, 0, 1, 3, 1, 0, 3, 2, 1, 1, 3, 1, 0, 4, 3, 3, 4, 1, 0, 0, 3, 4, 0, 3, 4, 2, 2, 0, 4, 3, 2, 4, 1, 4, 1, 4, 1, 0, 2, 2, 3, 3, 3, 0, 3, 3, 4, 4, 2, 3, 2, 3, 4, 4, 2, 2, 1, 3, 1, 2, 2, 3, 1, 4, 1, 3, 2, 4, 0, 3, 4, 3, 1, 4, 4, 0, 3, 4, 3, 3, 1, 1, 3, 2, 2, 4, 4, 3, 3, 2, 3, 2, 2, 4, 1, 4, 0, 4, 4, 2, 0, 4, 0, 4, 3, 1, 4, 0, 1, 3, 1, 3, 2, 4, 1, 0, 4, 1, 1, 3, 0, 1, 3, 0, 2] pubkeycol1501 = [4, 4, 1, 2, 4, 4, 1, 4, 1, 3, 1, 0, 2, 0, 4, 1, 3, 3, 0, 2, 2, 2, 1, 4, 0, 3, 4, 0, 1, 3, 2, 2, 0, 3, 2, 3, 4, 4, 3, 3, 1, 0, 3, 0, 4, 0, 3, 4, 1, 2, 3, 0, 3, 3, 4, 3, 4, 2, 0, 0, 0, 1, 0, 3, 0, 1, 4, 3, 2, 4, 0, 4, 4, 2, 2, 2, 1, 2, 2, 1, 1, 2, 4, 1, 2, 0, 3, 1, 0, 4, 0, 3, 2, 3, 2, 4, 3, 0, 3, 4, 0, 0, 2, 2, 1, 1, 3, 1, 0, 4, 4, 3, 3, 3, 0, 3, 0, 3, 2, 4, 0, 0, 2, 0, 3, 0, 3, 2, 1, 3, 1, 3, 2, 0, 4, 1, 3, 0, 2, 1, 1, 4, 2, 2, 3, 3, 3, 0, 0, 3, 1, 1, 1, 1, 3, 1, 2, 3, 4, 2, 3, 4, 0, 2, 4, 2, 0, 1, 0, 3, 3, 3, 4, 2, 4, 1, 1, 0, 1, 4, 4, 2, 4, 3, 4, 0, 1, 1, 4, 1, 0, 0, 4, 1, 2, 2, 1, 2, 1, 2, 4, 2, 3, 3, 1, 2, 3, 1, 3, 1, 3, 4, 3, 1, 0, 0, 3, 1, 0, 2, 4, 4, 2, 4, 3, 2, 4, 3, 2, 1, 3, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 4, 2, 3, 2, 0, 0, 3, 2, 1, 4, 0, 2, 0, 3, 0, 2, 2, 3, 2, 2, 0, 3, 3, 1, 1, 4, 3, 1, 1, 3, 0, 4, 2, 2, 2, 4, 3, 1, 4, 3, 2, 0, 0, 2, 4, 0, 2, 1, 4, 4, 1, 4, 4, 0, 4, 2, 2, 0, 4, 1, 3, 3, 4, 3, 4, 1, 3, 4, 2, 3, 4, 2, 4, 2, 2, 4, 1, 4, 3, 2, 1, 3, 0, 0, 4, 3, 1, 3, 3, 2, 4, 3, 3, 0, 1, 2, 1, 1, 0, 4, 2, 0, 4, 1, 3, 2, 2, 3, 3, 4, 0, 0, 2, 2, 0, 4, 3, 3, 0, 4, 0, 4, 4, 0, 2, 4, 0, 0, 1, 4, 0, 2, 0, 4, 4, 4, 1, 0, 3, 2, 1, 0, 3, 1, 3, 1, 4, 2, 1, 0, 4, 1, 1, 0, 3, 0, 1, 3, 2, 0, 1, 0, 1, 1, 0, 4, 2, 4, 0, 0, 1, 3, 2, 1, 3, 0, 3, 0, 0, 1, 0, 2, 4, 1, 0, 1, 3, 4, 1, 3, 2, 0, 3, 2, 4, 0, 3, 0, 1, 3, 4, 0, 2, 4, 1, 2, 1, 0, 3, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 3, 1, 0, 3, 2, 3, 4, 1, 3, 2, 2, 4, 1, 1, 4, 1, 3, 0, 4, 2] pubkeycol1502 = [3, 1, 1, 1, 2, 4, 3, 3, 2, 0, 0, 2, 0, 1, 3, 4, 3, 0, 1, 2, 4, 0, 3, 4, 3, 0, 3, 1, 4, 3, 2, 0, 3, 3, 2, 0, 2, 3, 3, 2, 1, 4, 3, 2, 4, 0, 3, 2, 3, 3, 0, 1, 0, 1, 4, 2, 0, 4, 0, 3, 4, 3, 2, 3, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 3, 1, 4, 1, 2, 4, 3, 2, 0, 0, 3, 2, 3, 0, 3, 3, 2, 0, 3, 4, 2, 3, 4, 1, 4, 3, 0, 1, 0, 1, 2, 4, 4, 1, 4, 3, 4, 4, 2, 2, 2, 3, 2, 4, 2, 0, 1, 0, 0, 4, 3, 0, 3, 4, 0, 3, 0, 4, 1, 0, 4, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 3, 2, 2, 2, 2, 4, 4, 4, 0, 3, 4, 1, 3, 4, 4, 0, 3, 4, 0, 1, 0, 0, 0, 0, 3, 4, 4, 3, 4, 2, 0, 1, 4, 1, 3, 3, 4, 1, 4, 2, 0, 0, 4, 4, 4, 2, 2, 0, 2, 0, 3, 4, 4, 3, 0, 1, 2, 0, 4, 1, 3, 4, 1, 4, 2, 2, 4, 3, 4, 4, 4, 4, 1, 2, 2, 3, 4, 4, 2, 3, 0, 2, 0, 3, 3, 1, 1, 4, 0, 4, 2, 0, 4, 0, 4, 2, 1, 1, 0, 0, 4, 0, 1, 0, 4, 2, 0, 3, 0, 3, 0, 2, 0, 0, 3, 3, 1, 2, 1, 4, 0, 0, 4, 4, 0, 3, 3, 1, 3, 3, 1, 1, 0, 1, 3, 1, 4, 4, 0, 3, 0, 1, 2, 0, 3, 2, 4, 2, 2, 3, 2, 4, 0, 2, 3, 3, 2, 3, 4, 3, 4, 1, 1, 4, 2, 2, 4, 1, 3, 3, 4, 3, 4, 3, 1, 0, 1, 4, 3, 4, 4, 4, 2, 2, 1, 1, 1, 4, 3, 3, 4, 2, 3, 4, 0, 2, 0, 3, 4, 0, 1, 3, 0, 0, 0, 2, 0, 0, 2, 3, 4, 2, 1, 0, 4, 3, 2, 4, 1, 4, 2, 1, 3, 3, 0, 1, 0, 4, 0, 0, 3, 1, 4, 0, 2, 3, 2, 1, 3, 0, 3, 2, 2, 4, 2, 3, 0, 1, 1, 0, 2, 3, 3, 1, 4, 0, 1, 0, 4, 4, 3, 3, 1, 4, 4, 3, 1, 3, 2, 2, 1, 0, 0, 4, 0, 1, 3, 2, 2, 1, 3, 3, 2, 4, 2, 1, 1, 2, 0, 2, 4, 2, 1, 4, 0, 4, 1, 2, 1, 3, 3, 2, 3, 2, 0, 2, 0, 0, 0, 1, 4, 3, 1, 2, 1, 0, 1, 4, 3, 2, 3, 4, 0, 2, 4, 3, 1, 1, 1, 0, 1, 0, 3] pubkeycol1503 = [4, 1, 3, 1, 3, 1, 3, 1, 2, 3, 0, 3, 4, 2, 0, 4, 3, 2, 4, 4, 4, 2, 0, 2, 1, 2, 1, 1, 0, 3, 2, 4, 1, 0, 0, 1, 2, 0, 0, 4, 4, 1, 4, 1, 2, 1, 2, 1, 1, 0, 3, 4, 2, 1, 3, 4, 4, 1, 3, 3, 2, 4, 2, 1, 2, 4, 3, 2, 4, 3, 1, 2, 3, 1, 4, 1, 4, 2, 3, 3, 1, 1, 0, 1, 4, 1, 0, 1, 3, 1, 2, 1, 1, 3, 2, 2, 1, 2, 0, 3, 2, 3, 4, 2, 0, 2, 0, 2, 0, 4, 3, 1, 1, 0, 0, 1, 0, 4, 3, 4, 1, 0, 1, 3, 4, 3, 1, 4, 1, 0, 0, 4, 3, 4, 1, 0, 3, 2, 2, 1, 0, 4, 2, 1, 2, 1, 1, 3, 2, 0, 3, 2, 1, 2, 2, 1, 1, 4, 4, 1, 2, 1, 3, 3, 4, 2, 1, 2, 0, 2, 3, 4, 3, 1, 1, 0, 1, 0, 3, 4, 3, 0, 3, 0, 1, 1, 2, 3, 1, 3, 1, 3, 4, 4, 2, 0, 4, 1, 0, 2, 4, 3, 2, 0, 2, 4, 2, 0, 4, 2, 1, 2, 1, 2, 2, 4, 4, 2, 4, 4, 4, 4, 2, 2, 4, 3, 2, 0, 1, 3, 3, 3, 4, 2, 3, 0, 2, 2, 4, 3, 4, 4, 1, 4, 3, 2, 0, 4, 2, 3, 2, 1, 3, 2, 0, 1, 3, 3, 2, 1, 2, 1, 4, 0, 0, 2, 3, 2, 2, 4, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 4, 0, 0, 2, 4, 0, 1, 1, 2, 1, 4, 2, 4, 3, 3, 1, 1, 3, 2, 2, 0, 0, 0, 2, 0, 3, 2, 1, 0, 1, 1, 3, 2, 2, 2, 4, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 0, 3, 2, 0, 1, 3, 3, 0, 2, 1, 4, 2, 0, 4, 4, 4, 4, 3, 2, 3, 0, 1, 3, 4, 2, 0, 1, 0, 1, 1, 2, 2, 2, 4, 2, 0, 3, 4, 3, 1, 0, 0, 4, 1, 3, 4, 1, 0, 4, 3, 0, 3, 1, 0, 2, 2, 4, 1, 0, 4, 1, 2, 3, 0, 1, 0, 4, 1, 2, 3, 2, 3, 3, 3, 1, 2, 0, 2, 3, 2, 0, 3, 3, 0, 2, 3, 0, 4, 0, 3, 0, 0, 4, 3, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 3, 0, 0, 2, 3, 2, 3, 4, 2, 4, 3, 0, 3, 2, 0, 0, 2, 1, 4, 0, 0, 1, 1, 1, 4, 3, 4, 1, 1, 1, 3, 2, 4, 4, 4, 2, 4, 2, 3, 2, 1, 0, 3, 0, 4, 3, 1, 0, 4] pubkeycol1504 = [4, 0, 4, 3, 2, 1, 1, 4, 2, 1, 0, 3, 1, 0, 3, 0, 1, 3, 2, 2, 4, 4, 4, 4, 2, 3, 3, 3, 1, 4, 3, 1, 3, 4, 2, 0, 3, 1, 3, 1, 3, 3, 3, 2, 1, 0, 0, 0, 3, 4, 4, 3, 4, 3, 2, 4, 4, 4, 2, 3, 0, 4, 0, 4, 0, 2, 3, 0, 2, 3, 2, 1, 2, 1, 1, 2, 3, 4, 0, 2, 1, 4, 3, 2, 2, 1, 1, 1, 0, 3, 3, 0, 2, 4, 0, 1, 0, 0, 0, 3, 1, 0, 4, 2, 3, 2, 1, 4, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 3, 3, 0, 2, 2, 4, 2, 4, 2, 1, 2, 4, 4, 3, 3, 1, 3, 4, 1, 1, 2, 4, 0, 0, 3, 3, 2, 1, 3, 4, 4, 0, 2, 0, 1, 1, 2, 0, 3, 3, 3, 1, 4, 3, 3, 4, 0, 3, 0, 3, 2, 4, 1, 2, 3, 0, 0, 2, 4, 4, 0, 0, 3, 2, 3, 4, 0, 1, 3, 3, 3, 0, 2, 1, 0, 2, 4, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 4, 3, 1, 1, 3, 1, 3, 1, 1, 2, 0, 0, 4, 1, 2, 3, 1, 4, 3, 2, 0, 4, 2, 3, 3, 4, 1, 1, 3, 1, 0, 3, 2, 4, 4, 0, 1, 2, 4, 1, 4, 1, 4, 1, 3, 4, 0, 3, 0, 3, 0, 0, 4, 1, 0, 3, 4, 4, 3, 3, 2, 1, 0, 4, 4, 4, 4, 1, 2, 4, 2, 2, 2, 2, 0, 2, 2, 3, 0, 2, 0, 4, 0, 2, 0, 0, 1, 3, 3, 1, 4, 2, 3, 4, 2, 0, 4, 4, 1, 2, 1, 4, 1, 1, 1, 4, 2, 4, 2, 4, 4, 4, 1, 0, 2, 3, 2, 1, 1, 3, 1, 3, 3, 0, 3, 3, 0, 3, 1, 4, 0, 2, 1, 1, 0, 3, 3, 0, 1, 0, 3, 1, 0, 4, 1, 2, 1, 4, 1, 4, 1, 1, 2, 2, 3, 3, 3, 4, 0, 0, 4, 4, 4, 0, 0, 3, 4, 1, 1, 2, 3, 2, 4, 0, 2, 2, 3, 1, 4, 3, 2, 1, 4, 3, 0, 1, 2, 3, 3, 3, 4, 3, 2, 0, 1, 1, 3, 2, 4, 4, 4, 3, 3, 3, 4, 2, 4, 0, 3, 3, 4, 3, 3, 3, 4, 4, 4, 2, 3, 1, 2, 3, 2, 2, 1, 2, 3, 0, 4, 0, 3, 0, 4, 3, 0, 4, 0, 3, 2, 1, 4, 2, 3, 0, 2, 4, 4, 0, 2, 4, 0, 4, 3, 4, 2, 4, 3, 2, 0, 4, 1, 3, 4, 0, 2, 1, 4, 0, 3, 1, 4, 4] pubkeycol1505 = [3, 4, 0, 4, 1, 4, 0, 0, 1, 0, 2, 3, 4, 4, 0, 3, 3, 3, 1, 1, 4, 3, 3, 4, 2, 1, 3, 2, 2, 1, 4, 2, 0, 2, 1, 3, 1, 2, 3, 4, 3, 3, 4, 2, 2, 1, 4, 4, 4, 1, 2, 0, 3, 3, 2, 4, 0, 0, 4, 2, 4, 0, 3, 1, 0, 0, 2, 0, 0, 1, 2, 4, 1, 4, 4, 4, 0, 2, 0, 3, 3, 4, 0, 4, 4, 0, 3, 0, 1, 1, 1, 4, 2, 0, 1, 1, 0, 4, 4, 4, 0, 3, 4, 0, 2, 0, 3, 2, 3, 4, 1, 1, 1, 1, 3, 4, 4, 1, 1, 3, 4, 3, 4, 2, 1, 0, 3, 4, 3, 2, 2, 4, 1, 1, 4, 4, 4, 1, 3, 0, 4, 1, 3, 0, 3, 2, 0, 0, 1, 0, 0, 1, 1, 3, 2, 2, 3, 2, 1, 2, 2, 4, 1, 4, 2, 4, 3, 4, 0, 0, 2, 0, 4, 2, 3, 0, 2, 4, 2, 0, 3, 3, 0, 1, 0, 4, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 1, 0, 4, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 4, 4, 2, 4, 3, 2, 4, 2, 0, 4, 1, 0, 4, 0, 0, 0, 0, 4, 0, 1, 0, 4, 1, 1, 2, 0, 3, 0, 4, 4, 1, 1, 3, 3, 3, 0, 4, 3, 3, 4, 1, 3, 1, 0, 3, 0, 3, 4, 4, 3, 1, 1, 0, 0, 4, 4, 0, 2, 1, 4, 4, 0, 3, 4, 3, 0, 3, 2, 1, 4, 2, 1, 1, 4, 2, 2, 3, 1, 2, 0, 1, 4, 2, 2, 2, 1, 4, 4, 3, 1, 2, 4, 2, 1, 4, 0, 1, 3, 0, 1, 0, 0, 4, 4, 1, 2, 2, 1, 2, 3, 3, 1, 4, 4, 2, 3, 0, 3, 1, 0, 0, 4, 0, 3, 2, 2, 4, 4, 4, 1, 4, 2, 3, 3, 0, 4, 1, 3, 4, 3, 4, 0, 0, 0, 2, 1, 2, 3, 3, 3, 4, 4, 2, 3, 1, 3, 1, 0, 3, 4, 0, 1, 1, 4, 2, 2, 0, 1, 4, 2, 3, 3, 4, 0, 0, 2, 3, 4, 4, 2, 0, 2, 1, 0, 1, 0, 0, 4, 0, 4, 0, 3, 0, 3, 4, 3, 3, 4, 2, 2, 1, 2, 4, 0, 2, 2, 1, 0, 3, 0, 4, 2, 4, 0, 4, 4, 0, 4, 2, 3, 0, 3, 3, 2, 4, 1, 2, 0, 3, 0, 1, 4, 0, 2, 2, 2, 2, 1, 4, 3, 3, 0, 2, 4, 2, 0, 2, 3, 2, 1, 4, 1, 2, 3, 2, 1, 4, 4, 1, 0, 3, 0, 4, 2, 1, 4, 3, 3, 3, 0] pubkeycol1506 = [2, 4, 1, 0, 4, 2, 4, 1, 0, 2, 3, 2, 1, 3, 0, 3, 1, 4, 3, 4, 1, 0, 2, 1, 2, 0, 0, 3, 1, 4, 1, 4, 2, 2, 3, 2, 1, 4, 1, 0, 1, 2, 0, 4, 2, 3, 1, 0, 0, 3, 2, 0, 0, 2, 1, 0, 0, 2, 3, 3, 0, 4, 4, 3, 4, 0, 4, 1, 0, 0, 4, 3, 2, 4, 3, 3, 4, 1, 4, 3, 4, 0, 0, 2, 2, 1, 0, 1, 2, 3, 4, 2, 3, 1, 1, 4, 1, 2, 1, 2, 3, 0, 4, 3, 2, 0, 1, 0, 2, 3, 0, 0, 0, 2, 3, 1, 0, 4, 0, 3, 0, 4, 1, 2, 0, 3, 0, 2, 1, 1, 2, 3, 2, 3, 0, 3, 2, 1, 1, 2, 3, 1, 4, 3, 0, 4, 3, 0, 4, 4, 3, 1, 0, 0, 1, 3, 4, 1, 1, 4, 4, 2, 3, 0, 0, 2, 4, 2, 4, 2, 0, 3, 4, 3, 0, 0, 1, 2, 4, 0, 2, 4, 0, 0, 2, 0, 2, 1, 3, 4, 0, 0, 2, 4, 1, 4, 0, 3, 2, 3, 3, 1, 4, 1, 0, 2, 2, 3, 0, 0, 4, 3, 2, 1, 1, 4, 1, 0, 4, 3, 4, 4, 1, 4, 4, 0, 4, 0, 4, 1, 1, 1, 3, 2, 1, 1, 0, 4, 0, 4, 2, 3, 2, 3, 4, 1, 2, 2, 4, 3, 0, 2, 3, 4, 1, 1, 4, 2, 3, 0, 4, 2, 1, 3, 3, 2, 0, 3, 4, 4, 4, 2, 1, 1, 3, 1, 0, 1, 0, 4, 3, 2, 4, 2, 4, 1, 4, 4, 4, 0, 3, 2, 0, 3, 2, 4, 2, 0, 2, 4, 1, 0, 1, 3, 0, 0, 4, 2, 0, 4, 4, 4, 1, 4, 1, 3, 0, 0, 3, 4, 4, 2, 0, 0, 1, 2, 4, 3, 0, 2, 0, 3, 0, 4, 3, 0, 0, 4, 3, 0, 3, 0, 3, 2, 3, 3, 0, 0, 0, 0, 2, 4, 4, 4, 1, 1, 2, 3, 4, 1, 1, 0, 2, 0, 1, 4, 2, 1, 2, 3, 2, 0, 1, 3, 4, 0, 1, 3, 4, 4, 3, 1, 4, 4, 3, 1, 4, 0, 4, 0, 4, 2, 4, 4, 3, 1, 1, 1, 4, 2, 2, 3, 3, 2, 0, 0, 4, 3, 2, 0, 4, 2, 1, 3, 2, 3, 1, 1, 4, 3, 3, 0, 2, 1, 4, 4, 4, 1, 2, 2, 1, 3, 2, 0, 0, 0, 1, 1, 1, 3, 2, 4, 0, 0, 3, 0, 1, 1, 1, 2, 4, 1, 0, 2, 0, 2, 3, 0, 4, 3, 4, 2, 3, 2, 3, 0, 0, 3, 3, 3, 0, 4, 1, 1, 1, 1, 1, 4, 4, 3] pubkeycol1507 = [2, 0, 4, 4, 1, 1, 2, 3, 3, 1, 3, 3, 4, 3, 2, 4, 1, 2, 1, 4, 4, 3, 3, 4, 4, 3, 4, 4, 1, 2, 0, 2, 3, 1, 4, 1, 2, 2, 3, 0, 1, 1, 1, 0, 2, 4, 2, 2, 2, 4, 1, 1, 0, 4, 3, 0, 3, 1, 4, 1, 2, 3, 1, 2, 3, 4, 1, 0, 4, 3, 0, 3, 1, 3, 0, 3, 1, 0, 4, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 3, 2, 3, 1, 1, 2, 3, 0, 3, 1, 3, 0, 3, 2, 4, 1, 0, 3, 1, 4, 0, 3, 2, 1, 0, 2, 3, 2, 1, 2, 4, 4, 3, 0, 2, 1, 0, 2, 4, 2, 2, 3, 1, 0, 3, 2, 3, 4, 3, 0, 4, 4, 0, 4, 3, 2, 0, 2, 3, 3, 0, 0, 0, 2, 3, 4, 3, 1, 3, 3, 3, 3, 4, 3, 0, 0, 1, 0, 4, 4, 4, 4, 3, 4, 3, 4, 0, 3, 1, 0, 4, 2, 0, 3, 2, 3, 0, 4, 0, 4, 1, 3, 2, 4, 4, 2, 3, 2, 0, 4, 3, 3, 1, 0, 0, 1, 0, 4, 2, 4, 3, 1, 2, 0, 2, 3, 2, 2, 2, 3, 1, 1, 1, 0, 2, 3, 4, 0, 3, 0, 1, 4, 1, 3, 2, 0, 4, 0, 1, 4, 2, 4, 3, 2, 1, 2, 0, 0, 3, 0, 1, 4, 0, 3, 1, 3, 0, 0, 2, 2, 1, 4, 0, 3, 0, 3, 4, 2, 2, 1, 2, 2, 3, 3, 1, 1, 3, 3, 0, 3, 3, 2, 0, 4, 2, 4, 2, 0, 3, 1, 0, 1, 3, 2, 2, 3, 2, 1, 4, 2, 0, 0, 4, 1, 1, 3, 4, 2, 4, 3, 2, 2, 0, 3, 3, 2, 2, 1, 1, 0, 1, 2, 0, 1, 4, 3, 0, 2, 0, 1, 4, 3, 2, 0, 4, 4, 2, 2, 3, 1, 3, 3, 3, 0, 3, 0, 0, 1, 0, 0, 4, 3, 2, 0, 3, 0, 2, 1, 1, 0, 1, 0, 1, 3, 2, 3, 1, 4, 2, 3, 1, 2, 2, 1, 3, 2, 4, 4, 3, 0, 0, 2, 4, 0, 2, 2, 3, 1, 4, 4, 2, 2, 4, 3, 1, 0, 0, 4, 0, 1, 2, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 0, 2, 1, 1, 0, 4, 4, 3, 3, 1, 3, 2, 1, 0, 1, 0, 2, 0, 4, 1, 2, 2, 4, 2, 3, 2, 2, 1, 2, 3, 3, 0, 4, 0, 2, 2, 2, 4, 0, 1, 0, 2, 4, 4, 1, 0, 0, 3, 2, 3, 4, 1, 3, 4, 3, 4, 1, 1, 4, 0, 1, 3, 3, 4, 2, 3, 0, 4, 3, 2] pubkeycol1508 = [3, 0, 1, 3, 3, 2, 0, 0, 2, 0, 4, 2, 2, 1, 1, 4, 0, 0, 1, 2, 0, 4, 1, 3, 4, 2, 4, 3, 1, 1, 1, 2, 1, 1, 3, 0, 2, 1, 2, 3, 1, 1, 0, 3, 4, 0, 2, 0, 3, 0, 2, 3, 1, 3, 0, 3, 1, 3, 0, 3, 2, 4, 0, 4, 4, 2, 2, 0, 0, 2, 1, 3, 4, 0, 1, 2, 0, 1, 3, 1, 1, 1, 0, 4, 2, 2, 3, 2, 4, 1, 2, 3, 3, 3, 0, 0, 4, 2, 3, 4, 1, 1, 2, 3, 1, 1, 4, 1, 4, 0, 1, 2, 4, 1, 4, 0, 0, 0, 2, 0, 4, 2, 4, 2, 2, 2, 4, 4, 4, 2, 1, 0, 1, 4, 4, 1, 4, 0, 0, 3, 2, 0, 3, 3, 0, 4, 2, 0, 1, 3, 4, 2, 3, 0, 4, 0, 1, 2, 2, 1, 2, 2, 0, 4, 1, 4, 2, 1, 0, 3, 1, 4, 3, 4, 1, 3, 0, 2, 0, 4, 2, 2, 1, 2, 1, 3, 4, 0, 4, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 3, 3, 3, 4, 3, 0, 2, 0, 3, 3, 1, 0, 1, 0, 1, 0, 3, 2, 0, 1, 0, 1, 0, 0, 4, 2, 2, 4, 3, 3, 0, 1, 1, 2, 0, 4, 3, 3, 0, 2, 0, 3, 1, 0, 1, 3, 4, 1, 4, 1, 2, 1, 2, 4, 1, 2, 0, 2, 0, 4, 0, 2, 1, 3, 2, 3, 1, 1, 2, 0, 0, 1, 4, 0, 4, 3, 3, 0, 3, 3, 2, 4, 4, 2, 3, 0, 0, 0, 4, 2, 1, 1, 4, 0, 3, 4, 3, 3, 0, 0, 0, 3, 2, 1, 2, 3, 3, 3, 4, 3, 0, 3, 4, 1, 4, 0, 0, 4, 3, 2, 2, 4, 4, 2, 3, 1, 3, 4, 4, 2, 4, 4, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 3, 0, 2, 4, 1, 1, 1, 4, 1, 4, 0, 0, 3, 2, 1, 1, 3, 1, 0, 2, 2, 2, 4, 1, 4, 1, 4, 3, 4, 2, 4, 1, 1, 2, 0, 4, 0, 2, 2, 2, 2, 1, 2, 3, 4, 1, 3, 3, 2, 0, 2, 3, 3, 1, 3, 1, 0, 3, 1, 0, 3, 0, 4, 2, 1, 1, 1, 2, 3, 2, 1, 3, 3, 1, 1, 3, 0, 3, 1, 1, 1, 2, 3, 1, 3, 0, 4, 2, 3, 4, 2, 1, 0, 0, 0, 1, 4, 2, 1, 2, 1, 1, 0, 0, 3, 3, 4, 0, 2, 4, 1, 0, 4, 4, 0, 4, 3, 2, 3, 4, 1, 2, 1, 4, 0, 3, 2, 0, 2, 4, 2, 3, 4, 3, 1, 3, 2, 4, 2] pubkeycol1509 = [1, 4, 3, 3, 1, 1, 1, 0, 1, 0, 2, 2, 4, 4, 2, 3, 3, 4, 2, 2, 1, 2, 4, 3, 4, 0, 3, 3, 0, 4, 0, 4, 3, 4, 1, 0, 4, 1, 3, 1, 0, 0, 1, 4, 2, 1, 2, 1, 2, 4, 3, 4, 2, 2, 2, 3, 3, 3, 4, 3, 4, 1, 0, 3, 0, 2, 2, 0, 3, 1, 0, 0, 1, 3, 0, 2, 3, 4, 2, 0, 2, 3, 2, 1, 1, 3, 1, 3, 3, 2, 4, 2, 0, 1, 2, 2, 3, 0, 1, 0, 0, 1, 1, 3, 1, 3, 0, 4, 1, 4, 4, 0, 3, 3, 4, 4, 0, 2, 0, 1, 4, 4, 0, 2, 4, 4, 0, 4, 1, 1, 1, 1, 3, 3, 3, 1, 4, 3, 0, 1, 4, 1, 1, 3, 0, 3, 4, 3, 3, 1, 2, 1, 3, 3, 0, 4, 4, 2, 2, 1, 3, 0, 0, 0, 4, 2, 1, 0, 4, 2, 2, 3, 3, 0, 0, 1, 4, 2, 0, 2, 3, 4, 4, 4, 1, 0, 3, 0, 2, 1, 2, 2, 4, 2, 2, 1, 3, 2, 3, 3, 1, 0, 4, 3, 2, 3, 0, 1, 3, 3, 2, 0, 2, 1, 3, 1, 0, 3, 3, 0, 2, 0, 0, 3, 4, 1, 0, 0, 1, 4, 4, 3, 4, 3, 1, 3, 2, 0, 0, 3, 1, 1, 1, 4, 1, 3, 3, 2, 0, 4, 0, 2, 2, 2, 1, 2, 3, 2, 4, 0, 0, 3, 2, 4, 1, 4, 2, 2, 0, 0, 3, 1, 0, 2, 3, 0, 0, 0, 2, 3, 4, 1, 1, 1, 0, 1, 4, 3, 2, 4, 0, 3, 4, 1, 2, 0, 3, 2, 1, 3, 1, 1, 1, 0, 1, 0, 3, 0, 0, 4, 0, 1, 2, 4, 0, 4, 4, 2, 3, 4, 3, 2, 1, 2, 2, 0, 4, 1, 4, 1, 3, 4, 4, 1, 3, 0, 3, 3, 2, 0, 1, 3, 1, 1, 3, 4, 3, 3, 3, 4, 1, 0, 1, 1, 0, 3, 2, 0, 2, 0, 1, 3, 4, 1, 0, 2, 0, 3, 0, 4, 3, 0, 0, 3, 2, 4, 1, 2, 3, 4, 1, 0, 3, 2, 3, 3, 2, 1, 0, 0, 3, 3, 4, 4, 1, 4, 4, 4, 4, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 3, 0, 2, 1, 4, 1, 3, 3, 4, 2, 1, 3, 1, 1, 3, 2, 2, 3, 2, 0, 2, 1, 1, 4, 1, 2, 4, 4, 2, 4, 4, 2, 2, 1, 0, 0, 3, 1, 0, 0, 0, 4, 2, 3, 0, 0, 3, 0, 1, 2, 4, 4, 1, 0, 0, 4, 2, 1, 0, 4, 1, 1, 1, 0, 4, 3, 0, 0, 3, 1] pubkeycol1510 = [1, 4, 3, 2, 0, 3, 4, 2, 4, 4, 2, 2, 4, 4, 3, 1, 2, 2, 0, 3, 1, 1, 3, 0, 4, 2, 2, 1, 0, 4, 4, 3, 1, 4, 2, 3, 1, 0, 2, 0, 4, 4, 4, 0, 0, 3, 1, 2, 2, 2, 1, 1, 0, 3, 3, 4, 4, 2, 0, 2, 2, 3, 1, 3, 3, 2, 4, 0, 1, 1, 0, 4, 3, 0, 4, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 2, 4, 1, 4, 1, 2, 0, 4, 0, 1, 3, 1, 3, 4, 3, 3, 3, 2, 4, 4, 0, 1, 1, 4, 3, 3, 2, 3, 4, 2, 2, 1, 3, 3, 4, 3, 4, 0, 3, 1, 1, 3, 2, 2, 2, 1, 2, 1, 1, 3, 0, 2, 4, 3, 3, 2, 0, 3, 3, 1, 1, 2, 1, 0, 3, 1, 4, 3, 0, 4, 3, 4, 4, 3, 4, 1, 3, 1, 1, 2, 2, 4, 4, 2, 2, 1, 2, 1, 2, 3, 3, 0, 2, 4, 2, 2, 2, 3, 1, 1, 1, 3, 1, 0, 3, 3, 3, 4, 1, 4, 2, 1, 1, 4, 0, 0, 2, 4, 1, 1, 0, 0, 3, 2, 4, 0, 4, 2, 0, 0, 1, 3, 0, 0, 0, 0, 4, 1, 0, 3, 2, 0, 3, 1, 4, 2, 0, 4, 3, 1, 1, 1, 2, 1, 3, 0, 3, 4, 3, 2, 1, 3, 4, 1, 0, 0, 3, 1, 1, 3, 2, 2, 4, 1, 3, 4, 2, 4, 1, 1, 4, 4, 0, 4, 3, 3, 1, 4, 3, 3, 1, 0, 1, 1, 4, 0, 3, 0, 4, 4, 4, 3, 3, 0, 0, 3, 2, 3, 4, 2, 0, 0, 0, 2, 1, 0, 4, 4, 3, 2, 3, 3, 2, 2, 2, 0, 1, 0, 3, 2, 4, 1, 0, 1, 4, 3, 4, 3, 3, 0, 1, 1, 0, 1, 4, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 4, 2, 4, 1, 2, 2, 1, 1, 3, 4, 3, 1, 0, 4, 4, 0, 1, 3, 0, 4, 1, 2, 1, 0, 3, 2, 0, 2, 3, 1, 4, 3, 3, 0, 0, 1, 2, 2, 2, 1, 0, 4, 0, 2, 3, 3, 3, 1, 0, 4, 1, 0, 1, 2, 1, 1, 2, 3, 1, 2, 0, 0, 3, 4, 4, 0, 3, 2, 3, 2, 2, 1, 4, 3, 3, 0, 3, 4, 0, 0, 1, 1, 1, 4, 0, 4, 0, 4, 3, 0, 0, 3, 2, 4, 1, 0, 1, 3, 3, 3, 0, 2, 4, 3, 0, 2, 4, 0, 1, 2, 4, 3, 0, 1, 4, 3, 3, 1, 4, 1, 2, 0, 4, 3, 3, 0, 0, 0, 3, 3, 1, 1, 0, 0, 4, 3] pubkeycol1511 = [0, 3, 2, 0, 0, 4, 0, 3, 1, 1, 0, 1, 3, 2, 1, 2, 4, 0, 0, 1, 4, 3, 3, 3, 0, 2, 4, 2, 0, 4, 4, 0, 0, 4, 2, 0, 3, 4, 2, 2, 3, 2, 3, 0, 3, 1, 3, 1, 1, 4, 3, 4, 4, 3, 1, 1, 0, 0, 3, 0, 2, 1, 2, 4, 1, 2, 1, 0, 1, 0, 1, 3, 1, 0, 1, 3, 2, 4, 0, 4, 3, 2, 2, 2, 2, 3, 4, 1, 4, 2, 2, 2, 3, 2, 3, 3, 2, 2, 0, 3, 1, 0, 0, 4, 4, 1, 2, 2, 4, 4, 4, 0, 1, 1, 0, 4, 4, 0, 2, 1, 4, 4, 2, 4, 1, 1, 0, 3, 3, 3, 1, 4, 0, 4, 0, 0, 3, 4, 2, 4, 4, 4, 4, 0, 1, 2, 2, 0, 4, 4, 0, 3, 3, 4, 2, 3, 1, 1, 1, 0, 3, 2, 4, 3, 2, 2, 0, 3, 4, 0, 3, 0, 0, 0, 4, 4, 2, 1, 2, 3, 0, 2, 2, 0, 4, 4, 1, 4, 4, 4, 3, 0, 0, 4, 0, 1, 0, 2, 1, 0, 4, 3, 1, 2, 0, 3, 3, 4, 2, 0, 2, 3, 4, 0, 3, 0, 4, 4, 3, 2, 3, 3, 4, 1, 3, 2, 4, 4, 0, 2, 1, 3, 3, 0, 1, 2, 4, 2, 3, 4, 1, 4, 3, 4, 0, 3, 0, 3, 0, 0, 4, 4, 4, 0, 4, 3, 1, 0, 2, 4, 2, 4, 4, 4, 2, 0, 1, 3, 0, 3, 2, 2, 4, 2, 2, 0, 3, 3, 2, 4, 1, 0, 1, 3, 0, 0, 3, 3, 2, 0, 2, 1, 3, 2, 3, 3, 2, 2, 2, 0, 0, 1, 2, 3, 0, 0, 4, 4, 2, 4, 1, 1, 4, 4, 4, 4, 3, 4, 2, 3, 3, 1, 4, 2, 4, 3, 0, 4, 1, 4, 3, 3, 3, 2, 3, 4, 4, 4, 4, 2, 2, 4, 3, 2, 3, 4, 4, 1, 2, 0, 0, 1, 4, 3, 1, 1, 3, 0, 2, 2, 2, 4, 2, 4, 4, 4, 1, 4, 2, 2, 4, 1, 4, 0, 1, 1, 3, 0, 1, 4, 4, 2, 1, 1, 4, 4, 0, 3, 4, 0, 0, 4, 2, 4, 3, 1, 2, 1, 2, 2, 2, 4, 3, 4, 0, 2, 3, 3, 3, 2, 2, 2, 3, 3, 4, 2, 0, 4, 2, 4, 4, 2, 0, 2, 4, 2, 4, 3, 1, 4, 2, 2, 2, 4, 1, 0, 1, 2, 2, 4, 0, 1, 4, 1, 0, 3, 0, 2, 3, 3, 4, 1, 4, 4, 1, 2, 4, 0, 3, 3, 1, 0, 3, 3, 3, 2, 1, 1, 4, 1, 2, 4, 4, 4, 3, 3, 1, 3, 3, 4] pubkeycol1512 = [0, 4, 2, 3, 4, 1, 1, 4, 4, 3, 3, 0, 3, 1, 2, 1, 3, 3, 0, 3, 0, 0, 4, 3, 2, 4, 3, 1, 1, 0, 2, 1, 0, 3, 2, 2, 0, 3, 4, 4, 3, 3, 3, 1, 2, 4, 3, 0, 4, 4, 1, 0, 2, 4, 4, 4, 3, 3, 1, 3, 4, 2, 3, 3, 1, 4, 1, 0, 2, 2, 0, 1, 2, 3, 2, 3, 0, 0, 1, 4, 0, 2, 3, 4, 3, 2, 0, 3, 1, 0, 3, 3, 1, 0, 0, 0, 1, 0, 1, 1, 4, 0, 0, 0, 2, 1, 0, 3, 1, 1, 1, 4, 1, 1, 1, 4, 4, 2, 4, 3, 0, 1, 2, 2, 0, 4, 2, 4, 4, 2, 1, 1, 0, 1, 0, 4, 3, 2, 1, 1, 1, 0, 3, 1, 4, 3, 3, 1, 3, 3, 2, 1, 2, 2, 1, 1, 1, 1, 0, 4, 1, 0, 4, 0, 0, 1, 0, 4, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 4, 0, 2, 3, 1, 2, 2, 3, 4, 2, 1, 2, 3, 0, 3, 1, 0, 1, 4, 2, 4, 2, 1, 4, 0, 0, 1, 3, 1, 1, 1, 1, 3, 2, 4, 2, 4, 3, 1, 1, 0, 0, 1, 2, 0, 4, 3, 3, 2, 4, 0, 2, 1, 3, 0, 4, 2, 3, 4, 0, 3, 1, 3, 3, 2, 1, 4, 1, 2, 3, 1, 2, 4, 4, 4, 1, 0, 4, 1, 2, 0, 2, 0, 0, 2, 3, 1, 3, 0, 3, 1, 1, 2, 2, 1, 0, 0, 3, 3, 0, 2, 1, 0, 3, 1, 3, 4, 2, 0, 0, 3, 1, 1, 4, 0, 2, 4, 2, 4, 2, 1, 4, 3, 2, 1, 3, 0, 3, 0, 4, 4, 1, 0, 0, 0, 4, 4, 4, 4, 0, 2, 2, 4, 2, 4, 1, 2, 3, 3, 4, 2, 2, 2, 2, 1, 0, 2, 3, 1, 2, 4, 1, 2, 3, 2, 3, 1, 3, 4, 0, 0, 1, 1, 0, 2, 0, 4, 2, 3, 2, 3, 2, 4, 2, 4, 1, 0, 1, 3, 0, 2, 2, 2, 3, 4, 2, 3, 0, 0, 0, 4, 3, 0, 4, 2, 3, 4, 4, 1, 2, 2, 4, 1, 2, 1, 2, 3, 2, 4, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 4, 3, 0, 3, 1, 2, 1, 2, 3, 1, 0, 2, 0, 1, 4, 0, 4, 3, 0, 0, 2, 3, 1, 3, 0, 1, 1, 0, 1, 4, 4, 1, 4, 3, 1, 2, 4, 4, 4, 0, 4, 2, 4, 0, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 2, 2, 1, 3, 2, 2, 1, 0, 1, 4, 1, 2, 2, 1, 1, 0, 3, 1] pubkeycol1513 = [1, 3, 4, 2, 3, 2, 1, 0, 3, 3, 1, 3, 3, 3, 2, 0, 0, 1, 4, 2, 0, 2, 2, 2, 2, 3, 4, 3, 1, 2, 4, 0, 3, 2, 1, 0, 1, 3, 3, 3, 3, 0, 2, 1, 0, 0, 4, 4, 3, 2, 4, 1, 2, 0, 4, 4, 1, 2, 2, 0, 3, 3, 0, 2, 1, 2, 4, 4, 3, 4, 4, 4, 2, 2, 3, 4, 4, 3, 2, 2, 2, 2, 1, 0, 0, 4, 2, 0, 2, 0, 0, 3, 3, 3, 4, 1, 1, 0, 4, 4, 4, 1, 1, 0, 4, 1, 0, 0, 0, 3, 2, 4, 1, 4, 2, 2, 4, 0, 2, 0, 0, 0, 4, 2, 3, 3, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 4, 4, 2, 2, 2, 4, 4, 4, 0, 4, 4, 2, 1, 3, 0, 3, 0, 3, 3, 1, 1, 1, 0, 2, 2, 4, 2, 3, 4, 4, 4, 4, 4, 4, 0, 1, 3, 1, 1, 2, 1, 0, 1, 2, 1, 4, 3, 1, 2, 3, 0, 2, 0, 1, 1, 4, 2, 0, 0, 3, 3, 2, 3, 4, 2, 2, 4, 4, 0, 1, 3, 4, 4, 2, 1, 1, 3, 1, 4, 3, 3, 1, 2, 0, 3, 3, 3, 2, 2, 2, 0, 1, 0, 0, 0, 0, 4, 3, 2, 4, 3, 2, 3, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 3, 2, 2, 0, 3, 2, 3, 4, 0, 2, 4, 4, 0, 4, 2, 0, 1, 3, 2, 2, 1, 0, 3, 1, 3, 4, 1, 2, 4, 1, 1, 2, 0, 4, 1, 2, 1, 1, 4, 3, 2, 3, 1, 4, 1, 4, 3, 2, 1, 0, 3, 2, 2, 1, 1, 4, 2, 0, 2, 4, 2, 3, 3, 3, 2, 4, 0, 4, 2, 2, 3, 0, 3, 2, 1, 2, 3, 3, 2, 1, 1, 4, 2, 3, 3, 0, 1, 0, 4, 3, 4, 0, 2, 3, 0, 3, 4, 3, 0, 4, 4, 1, 2, 1, 1, 3, 1, 4, 1, 3, 1, 1, 4, 1, 0, 4, 1, 4, 0, 2, 1, 0, 3, 4, 3, 0, 3, 3, 2, 3, 3, 3, 4, 3, 2, 1, 1, 4, 1, 0, 3, 1, 0, 0, 0, 1, 4, 0, 2, 2, 3, 1, 3, 2, 2, 4, 3, 0, 0, 1, 4, 4, 4, 2, 4, 4, 2, 2, 0, 3, 4, 4, 4, 0, 2, 1, 0, 4, 2, 2, 1, 4, 2, 2, 2, 4, 0, 3, 4, 1, 4, 1, 1, 4, 0, 1, 4, 0, 1, 1, 0, 0, 0, 4, 2, 1, 2, 0, 1, 1, 3, 2, 4, 0, 1, 2, 3, 1, 1, 2, 2, 3, 1, 3, 4, 3, 3, 2, 3] pubkeycol1514 = [2, 1, 2, 4, 3, 1, 0, 4, 0, 0, 1, 0, 0, 2, 1, 2, 0, 3, 2, 0, 4, 3, 2, 1, 3, 0, 1, 4, 4, 4, 1, 4, 0, 3, 2, 4, 3, 0, 2, 2, 1, 2, 0, 2, 0, 3, 3, 4, 3, 4, 4, 3, 4, 4, 0, 0, 0, 0, 1, 0, 4, 1, 4, 1, 0, 3, 0, 0, 0, 3, 2, 1, 1, 4, 2, 0, 1, 3, 2, 3, 3, 0, 1, 2, 4, 1, 0, 4, 0, 1, 2, 2, 1, 3, 2, 1, 3, 3, 3, 4, 0, 1, 3, 4, 1, 0, 2, 4, 0, 4, 4, 1, 2, 2, 4, 1, 3, 2, 3, 0, 3, 1, 3, 4, 3, 2, 1, 1, 0, 0, 1, 4, 1, 2, 4, 1, 2, 4, 4, 2, 2, 4, 1, 4, 0, 0, 3, 2, 3, 4, 1, 3, 3, 1, 1, 2, 4, 4, 2, 1, 1, 3, 1, 2, 0, 0, 1, 1, 0, 1, 3, 2, 1, 3, 4, 0, 3, 3, 3, 4, 3, 4, 2, 2, 2, 1, 4, 1, 1, 3, 4, 2, 4, 4, 3, 2, 1, 3, 4, 2, 3, 4, 2, 3, 3, 2, 4, 3, 3, 0, 4, 4, 4, 2, 2, 1, 0, 1, 0, 2, 3, 3, 0, 4, 4, 3, 4, 2, 3, 0, 2, 3, 4, 2, 0, 4, 3, 3, 1, 1, 0, 4, 1, 1, 2, 2, 1, 1, 4, 2, 2, 1, 2, 4, 4, 4, 4, 2, 2, 4, 4, 3, 0, 2, 3, 0, 4, 3, 2, 3, 1, 4, 4, 4, 2, 2, 1, 1, 0, 3, 2, 0, 1, 2, 3, 1, 3, 1, 3, 4, 4, 0, 3, 0, 4, 3, 4, 0, 3, 0, 1, 4, 2, 3, 4, 1, 0, 3, 0, 4, 4, 4, 2, 3, 1, 3, 1, 4, 0, 1, 1, 4, 3, 2, 2, 3, 0, 1, 0, 1, 1, 1, 4, 0, 4, 3, 0, 3, 1, 4, 3, 4, 1, 3, 3, 4, 0, 3, 1, 2, 4, 4, 1, 3, 0, 4, 2, 3, 0, 0, 0, 3, 1, 2, 1, 0, 4, 3, 4, 0, 2, 3, 3, 1, 3, 3, 2, 2, 0, 4, 0, 0, 4, 0, 4, 3, 3, 4, 3, 2, 4, 0, 0, 2, 0, 2, 0, 3, 2, 4, 3, 2, 2, 3, 2, 4, 2, 4, 3, 1, 2, 2, 0, 3, 4, 2, 3, 1, 0, 2, 1, 2, 1, 2, 1, 0, 3, 2, 1, 3, 2, 2, 0, 2, 3, 0, 4, 0, 2, 4, 2, 4, 0, 1, 4, 3, 4, 2, 1, 4, 4, 4, 4, 0, 1, 2, 0, 1, 2, 1, 4, 3, 3, 0, 0, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 1, 3, 2, 1, 4] pubkeycol1515 = [4, 1, 2, 4, 3, 0, 1, 3, 0, 2, 1, 4, 4, 3, 2, 4, 1, 0, 3, 3, 1, 4, 4, 4, 0, 2, 0, 3, 2, 4, 4, 2, 3, 0, 3, 2, 2, 4, 0, 2, 2, 3, 2, 2, 0, 3, 2, 1, 1, 4, 0, 0, 0, 0, 1, 3, 2, 2, 4, 4, 3, 3, 1, 3, 4, 4, 4, 4, 3, 2, 3, 0, 2, 0, 1, 2, 1, 4, 3, 3, 1, 2, 4, 2, 1, 1, 4, 4, 4, 2, 3, 4, 3, 4, 4, 3, 0, 2, 1, 1, 1, 0, 3, 3, 3, 0, 0, 3, 4, 0, 4, 1, 0, 2, 3, 0, 2, 0, 0, 1, 4, 0, 1, 1, 3, 1, 0, 0, 2, 4, 2, 1, 3, 4, 1, 3, 0, 3, 2, 0, 3, 1, 4, 4, 4, 1, 3, 4, 2, 0, 1, 2, 2, 1, 1, 0, 2, 4, 0, 3, 3, 0, 4, 2, 4, 1, 4, 4, 3, 2, 1, 3, 0, 3, 1, 3, 1, 4, 4, 2, 3, 1, 4, 2, 0, 2, 4, 0, 1, 4, 3, 3, 4, 0, 2, 2, 2, 4, 3, 2, 4, 3, 0, 4, 3, 2, 4, 3, 0, 4, 1, 3, 3, 4, 4, 0, 2, 4, 2, 3, 3, 0, 4, 4, 3, 0, 4, 0, 3, 2, 0, 2, 2, 2, 4, 4, 0, 3, 4, 0, 2, 0, 0, 0, 0, 1, 4, 4, 3, 4, 4, 0, 2, 2, 3, 4, 1, 3, 0, 3, 3, 1, 3, 0, 3, 4, 1, 1, 3, 4, 2, 3, 2, 2, 1, 4, 1, 0, 3, 0, 2, 0, 2, 0, 4, 2, 2, 2, 1, 3, 0, 1, 1, 2, 0, 1, 2, 4, 3, 0, 3, 4, 0, 4, 1, 3, 2, 3, 2, 2, 1, 0, 2, 0, 0, 2, 4, 3, 4, 3, 3, 3, 0, 1, 4, 4, 0, 0, 3, 0, 2, 1, 1, 0, 3, 1, 4, 1, 4, 2, 2, 4, 0, 3, 3, 3, 3, 2, 4, 1, 1, 3, 0, 2, 2, 4, 0, 0, 0, 0, 3, 4, 1, 1, 3, 1, 0, 1, 3, 2, 0, 0, 2, 2, 1, 2, 2, 3, 2, 1, 3, 0, 3, 4, 2, 1, 0, 0, 4, 4, 3, 2, 2, 2, 2, 2, 0, 2, 3, 0, 2, 3, 1, 3, 3, 2, 3, 3, 2, 1, 2, 3, 2, 0, 4, 3, 3, 3, 2, 0, 1, 3, 4, 2, 3, 0, 0, 3, 4, 2, 1, 0, 2, 0, 2, 3, 4, 0, 4, 4, 4, 3, 4, 2, 4, 0, 1, 4, 0, 1, 3, 3, 2, 1, 0, 0, 2, 2, 4, 3, 0, 3, 3, 2, 1, 0, 4, 2, 0, 2, 1, 0, 1, 2, 3, 3, 2, 1, 4, 1] pubkeycol1516 = [0, 0, 2, 2, 4, 1, 4, 2, 2, 2, 1, 2, 4, 2, 1, 2, 2, 2, 1, 0, 4, 0, 3, 4, 2, 3, 4, 3, 1, 4, 0, 2, 2, 0, 3, 3, 1, 2, 0, 2, 4, 3, 1, 3, 4, 0, 3, 1, 0, 1, 3, 4, 3, 0, 3, 3, 3, 2, 0, 2, 2, 1, 4, 3, 4, 2, 0, 1, 3, 4, 0, 2, 2, 2, 4, 4, 0, 1, 4, 2, 4, 2, 2, 3, 0, 2, 3, 3, 2, 4, 2, 4, 1, 3, 0, 0, 4, 2, 0, 4, 0, 4, 1, 0, 0, 1, 0, 3, 3, 3, 2, 4, 0, 4, 0, 3, 2, 0, 4, 0, 0, 1, 4, 2, 2, 3, 4, 3, 3, 1, 2, 0, 3, 2, 4, 4, 0, 4, 3, 4, 3, 2, 1, 2, 4, 1, 3, 0, 1, 1, 1, 4, 2, 2, 0, 1, 1, 0, 1, 3, 0, 4, 4, 3, 2, 2, 3, 4, 2, 3, 1, 2, 2, 1, 4, 3, 1, 3, 0, 2, 1, 1, 3, 1, 4, 4, 0, 0, 1, 2, 2, 2, 0, 3, 3, 1, 4, 0, 3, 3, 1, 1, 2, 3, 4, 1, 2, 1, 2, 3, 1, 2, 4, 4, 1, 3, 3, 1, 3, 3, 1, 2, 1, 1, 4, 3, 2, 4, 1, 0, 3, 1, 2, 3, 3, 1, 4, 0, 3, 3, 1, 0, 0, 1, 3, 4, 0, 1, 0, 2, 2, 3, 3, 3, 3, 4, 4, 2, 1, 3, 3, 0, 3, 0, 4, 2, 2, 4, 0, 3, 3, 2, 0, 4, 0, 4, 1, 1, 3, 4, 1, 3, 2, 3, 3, 0, 1, 3, 3, 0, 4, 3, 4, 3, 3, 0, 1, 0, 4, 2, 1, 1, 1, 4, 2, 1, 0, 4, 2, 2, 4, 3, 3, 4, 4, 3, 0, 0, 3, 2, 3, 0, 3, 3, 4, 3, 3, 3, 2, 1, 2, 1, 2, 4, 4, 1, 1, 0, 0, 0, 1, 4, 0, 3, 2, 3, 2, 3, 3, 2, 3, 4, 2, 1, 1, 3, 2, 2, 3, 2, 4, 4, 3, 3, 4, 3, 0, 0, 2, 1, 4, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 4, 0, 2, 4, 2, 0, 3, 1, 3, 4, 0, 4, 0, 0, 4, 2, 3, 1, 1, 0, 3, 0, 2, 2, 3, 0, 0, 4, 3, 2, 4, 1, 2, 0, 1, 2, 3, 1, 2, 4, 2, 4, 3, 0, 3, 4, 4, 3, 0, 0, 3, 2, 3, 4, 2, 4, 4, 1, 3, 2, 4, 1, 1, 1, 4, 2, 2, 0, 4, 3, 1, 2, 1, 3, 1, 3, 4, 0, 2, 4, 4, 2, 4, 4, 0, 1, 2, 3, 0, 3, 0, 0, 3, 0, 1, 4, 3, 4, 2] pubkeycol1517 = [3, 2, 4, 3, 3, 4, 2, 0, 1, 4, 4, 4, 2, 0, 2, 0, 1, 4, 2, 1, 2, 1, 1, 4, 0, 0, 0, 3, 0, 1, 4, 1, 3, 3, 2, 4, 4, 0, 2, 0, 3, 0, 4, 2, 3, 1, 4, 3, 2, 1, 3, 3, 2, 4, 0, 0, 1, 2, 3, 2, 4, 0, 4, 1, 1, 0, 4, 2, 0, 0, 0, 1, 3, 0, 4, 2, 3, 4, 2, 0, 4, 2, 0, 0, 1, 3, 0, 4, 4, 1, 1, 1, 1, 0, 3, 2, 1, 1, 0, 3, 0, 1, 3, 0, 2, 0, 3, 1, 3, 2, 1, 4, 3, 1, 1, 1, 2, 2, 4, 4, 0, 4, 2, 2, 3, 3, 2, 2, 3, 3, 4, 1, 4, 2, 3, 2, 4, 0, 1, 0, 4, 2, 0, 3, 2, 2, 1, 0, 3, 0, 2, 4, 4, 2, 2, 1, 0, 4, 0, 1, 3, 4, 3, 1, 4, 2, 1, 0, 1, 4, 0, 2, 2, 4, 4, 2, 1, 3, 3, 2, 4, 0, 3, 1, 1, 0, 1, 4, 2, 2, 2, 1, 0, 2, 2, 1, 4, 3, 4, 3, 2, 2, 3, 0, 3, 4, 1, 3, 1, 4, 4, 0, 4, 3, 1, 3, 4, 1, 0, 1, 4, 0, 0, 1, 1, 0, 1, 4, 2, 4, 0, 0, 0, 0, 3, 1, 1, 0, 1, 4, 4, 0, 1, 2, 4, 1, 1, 2, 4, 3, 3, 1, 0, 0, 4, 1, 4, 3, 1, 1, 2, 3, 3, 3, 1, 0, 4, 1, 1, 3, 1, 3, 1, 0, 2, 0, 1, 2, 1, 4, 1, 0, 3, 1, 1, 0, 2, 1, 4, 4, 4, 4, 1, 3, 1, 1, 0, 2, 2, 1, 3, 0, 0, 2, 2, 2, 1, 4, 0, 1, 1, 4, 3, 1, 0, 3, 1, 4, 0, 0, 0, 1, 4, 1, 1, 0, 3, 4, 4, 0, 2, 2, 4, 0, 2, 3, 3, 2, 3, 3, 0, 3, 2, 0, 2, 0, 0, 2, 3, 0, 2, 0, 4, 3, 1, 4, 4, 0, 1, 0, 1, 0, 3, 4, 1, 4, 3, 0, 4, 0, 2, 4, 2, 4, 0, 4, 1, 0, 2, 1, 2, 2, 3, 3, 4, 0, 3, 3, 1, 1, 2, 0, 4, 0, 4, 3, 3, 4, 0, 4, 4, 1, 0, 2, 2, 4, 2, 2, 4, 1, 1, 2, 1, 0, 4, 3, 0, 1, 4, 1, 4, 2, 3, 4, 2, 3, 0, 4, 4, 0, 3, 4, 3, 3, 0, 0, 3, 3, 0, 3, 0, 4, 2, 0, 1, 4, 4, 4, 1, 2, 1, 4, 0, 2, 2, 4, 4, 4, 3, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 3, 3, 3, 4, 4, 3, 4, 4, 2, 1, 1] pubkeycol1518 = [4, 1, 1, 0, 0, 3, 0, 2, 4, 0, 0, 0, 3, 0, 2, 1, 3, 3, 1, 0, 1, 2, 1, 0, 0, 3, 1, 2, 4, 2, 1, 2, 4, 0, 3, 2, 3, 4, 4, 3, 3, 3, 0, 4, 1, 1, 3, 0, 4, 3, 3, 1, 0, 4, 4, 4, 2, 2, 0, 1, 4, 2, 1, 1, 3, 0, 3, 4, 2, 0, 3, 4, 4, 4, 4, 1, 4, 2, 4, 4, 2, 1, 1, 4, 1, 4, 2, 1, 0, 4, 3, 2, 1, 3, 2, 3, 4, 3, 0, 0, 4, 0, 3, 4, 3, 4, 3, 0, 4, 2, 0, 3, 0, 0, 4, 0, 4, 3, 4, 2, 1, 3, 1, 3, 2, 2, 4, 3, 2, 1, 1, 3, 2, 3, 1, 4, 1, 4, 0, 3, 2, 3, 3, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 3, 0, 4, 2, 1, 4, 1, 1, 4, 4, 3, 2, 3, 4, 2, 3, 0, 2, 3, 0, 0, 4, 3, 3, 2, 3, 3, 4, 1, 1, 4, 2, 3, 4, 1, 2, 4, 2, 4, 2, 3, 1, 1, 4, 2, 0, 3, 2, 4, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 2, 1, 3, 4, 4, 1, 3, 2, 1, 1, 3, 0, 3, 0, 1, 4, 2, 0, 2, 2, 0, 4, 1, 3, 4, 1, 1, 2, 3, 2, 0, 3, 3, 1, 2, 1, 0, 0, 2, 1, 3, 3, 0, 0, 2, 1, 2, 0, 3, 0, 4, 1, 1, 3, 4, 0, 2, 4, 4, 4, 4, 0, 3, 4, 1, 0, 4, 2, 4, 1, 2, 1, 4, 0, 1, 4, 0, 4, 2, 2, 4, 2, 3, 2, 4, 3, 3, 2, 2, 0, 3, 2, 4, 3, 0, 2, 3, 2, 4, 0, 1, 2, 1, 2, 4, 4, 2, 4, 2, 3, 0, 3, 0, 1, 0, 4, 0, 1, 3, 2, 3, 1, 3, 2, 4, 1, 3, 4, 2, 1, 0, 1, 3, 2, 4, 4, 0, 4, 3, 1, 1, 2, 1, 0, 2, 1, 3, 3, 4, 1, 0, 2, 0, 3, 4, 1, 2, 0, 3, 0, 4, 0, 4, 2, 3, 2, 0, 4, 0, 0, 0, 4, 3, 0, 1, 4, 0, 3, 0, 3, 1, 3, 0, 0, 0, 1, 3, 1, 4, 2, 2, 0, 3, 4, 1, 0, 2, 3, 3, 0, 2, 1, 3, 0, 3, 3, 0, 1, 1, 4, 0, 3, 3, 0, 1, 3, 1, 4, 1, 1, 0, 2, 2, 4, 1, 3, 3, 3, 2, 2, 2, 3, 0, 2, 3, 1, 4, 2, 3, 1, 3, 2, 3, 3, 1, 3, 2, 0, 2, 4, 2, 0, 1, 4, 4, 2, 1, 2, 4, 2, 1, 0, 1, 0] pubkeycol1519 = [3, 4, 3, 2, 4, 0, 4, 4, 4, 2, 4, 3, 4, 3, 4, 1, 2, 3, 3, 3, 2, 3, 4, 4, 0, 0, 1, 4, 3, 1, 1, 4, 1, 1, 4, 0, 0, 4, 4, 0, 0, 1, 3, 4, 2, 4, 3, 4, 4, 2, 3, 2, 2, 4, 1, 4, 3, 4, 3, 2, 2, 0, 4, 4, 3, 0, 4, 1, 2, 4, 1, 3, 3, 2, 2, 3, 0, 4, 4, 1, 1, 2, 3, 1, 2, 1, 0, 2, 4, 4, 3, 1, 3, 1, 1, 2, 4, 2, 2, 2, 2, 0, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 0, 4, 3, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 4, 3, 1, 3, 0, 2, 0, 1, 4, 2, 1, 1, 0, 3, 0, 4, 2, 4, 0, 3, 3, 3, 1, 1, 2, 1, 4, 4, 3, 3, 2, 3, 1, 3, 3, 4, 2, 2, 4, 0, 3, 2, 1, 1, 2, 3, 2, 1, 1, 2, 3, 2, 0, 0, 0, 3, 3, 0, 0, 4, 3, 1, 2, 3, 4, 4, 1, 1, 3, 2, 3, 3, 0, 4, 3, 2, 1, 3, 2, 4, 3, 1, 4, 4, 1, 3, 3, 1, 2, 3, 3, 1, 1, 4, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 4, 2, 2, 2, 0, 3, 3, 0, 3, 2, 1, 4, 3, 2, 1, 1, 4, 4, 3, 4, 3, 4, 1, 3, 3, 0, 4, 3, 1, 3, 4, 2, 4, 0, 4, 0, 4, 1, 3, 4, 1, 1, 2, 2, 4, 1, 1, 4, 0, 1, 1, 1, 1, 1, 1, 0, 4, 3, 4, 4, 1, 3, 2, 4, 3, 0, 0, 1, 3, 2, 2, 3, 2, 4, 1, 3, 1, 3, 0, 2, 1, 4, 0, 0, 1, 3, 2, 3, 0, 4, 0, 0, 2, 3, 2, 4, 4, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 4, 0, 0, 3, 4, 0, 3, 4, 0, 1, 2, 2, 0, 3, 0, 2, 1, 3, 3, 3, 3, 1, 2, 2, 1, 0, 0, 3, 0, 4, 0, 0, 2, 3, 1, 1, 4, 3, 4, 3, 1, 0, 2, 0, 4, 0, 0, 2, 1, 0, 3, 2, 2, 0, 4, 0, 1, 0, 3, 2, 1, 1, 0, 0, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 4, 2, 2, 1, 4, 3, 0, 1, 3, 0, 4, 0, 3, 3, 2, 3, 0, 4, 0, 1, 1, 1, 4, 4, 3, 2, 0, 0, 4, 1, 4, 4, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 1, 0, 3, 3, 4, 4, 4, 1, 0, 2, 3, 1, 4, 0, 1, 0, 2, 4, 1] pubkeycol1520 = [0, 3, 0, 2, 0, 4, 4, 3, 1, 0, 2, 1, 3, 1, 1, 4, 2, 0, 1, 2, 0, 4, 0, 1, 3, 4, 1, 0, 1, 1, 2, 1, 4, 1, 1, 0, 1, 0, 4, 2, 3, 1, 2, 0, 4, 0, 2, 1, 3, 0, 2, 4, 0, 0, 1, 2, 4, 4, 0, 4, 2, 2, 3, 4, 0, 1, 3, 4, 3, 3, 2, 4, 2, 4, 4, 3, 1, 4, 1, 3, 4, 4, 4, 1, 0, 3, 0, 0, 0, 2, 0, 4, 3, 3, 3, 3, 4, 0, 0, 0, 0, 1, 4, 1, 4, 4, 4, 3, 4, 2, 0, 2, 2, 3, 4, 3, 4, 0, 4, 2, 4, 4, 3, 4, 4, 1, 1, 3, 0, 2, 2, 0, 0, 0, 1, 4, 2, 4, 1, 0, 3, 4, 1, 1, 2, 2, 3, 1, 1, 0, 3, 1, 3, 0, 1, 1, 1, 2, 0, 4, 4, 1, 0, 4, 3, 1, 4, 3, 3, 0, 0, 0, 1, 4, 3, 0, 0, 4, 0, 3, 4, 2, 3, 1, 3, 2, 0, 4, 4, 2, 0, 4, 1, 2, 3, 0, 2, 4, 4, 2, 4, 2, 3, 0, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 4, 3, 2, 2, 4, 2, 2, 3, 3, 4, 3, 0, 2, 4, 4, 0, 2, 2, 0, 1, 2, 1, 3, 2, 0, 4, 3, 2, 4, 2, 2, 3, 0, 2, 0, 3, 3, 0, 1, 3, 3, 3, 1, 4, 2, 0, 4, 1, 2, 1, 1, 0, 2, 1, 4, 0, 4, 4, 1, 0, 3, 0, 1, 0, 1, 0, 2, 3, 1, 2, 1, 3, 0, 3, 0, 4, 0, 1, 2, 1, 0, 1, 4, 0, 2, 2, 3, 2, 4, 2, 2, 0, 3, 0, 4, 3, 1, 2, 2, 1, 4, 1, 1, 1, 2, 1, 4, 3, 1, 1, 3, 2, 4, 2, 3, 3, 4, 1, 0, 0, 4, 4, 0, 4, 4, 1, 4, 3, 4, 1, 0, 1, 4, 4, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 4, 2, 1, 3, 3, 0, 3, 1, 0, 0, 4, 2, 2, 0, 3, 1, 3, 3, 0, 3, 0, 0, 0, 2, 1, 4, 3, 4, 3, 4, 2, 3, 4, 4, 1, 2, 2, 1, 2, 3, 3, 1, 4, 3, 3, 1, 1, 0, 2, 3, 3, 4, 0, 4, 1, 2, 1, 4, 1, 1, 1, 1, 3, 4, 1, 0, 3, 2, 4, 3, 1, 0, 0, 0, 2, 3, 4, 1, 4, 0, 4, 1, 0, 3, 1, 0, 3, 3, 0, 0, 2, 2, 3, 1, 2, 4, 1, 0, 2, 4, 2, 4, 1, 0, 1, 0, 2, 4, 2, 3, 1, 2, 4, 0, 4, 3, 0, 3, 0, 1, 4, 4] pubkeycol1521 = [4, 2, 1, 0, 0, 3, 0, 4, 1, 0, 4, 0, 0, 3, 3, 0, 4, 3, 2, 0, 2, 0, 3, 4, 4, 1, 3, 3, 1, 3, 3, 3, 4, 0, 2, 1, 3, 4, 0, 0, 3, 1, 2, 0, 3, 0, 1, 0, 0, 1, 4, 0, 1, 4, 1, 3, 3, 4, 4, 2, 0, 0, 4, 3, 3, 4, 3, 0, 3, 1, 0, 0, 0, 2, 4, 0, 2, 3, 0, 3, 4, 1, 3, 3, 3, 4, 3, 1, 4, 0, 3, 1, 0, 4, 1, 3, 3, 1, 0, 1, 3, 4, 0, 2, 0, 4, 2, 3, 2, 3, 3, 2, 3, 0, 2, 0, 3, 1, 0, 0, 3, 1, 3, 1, 1, 1, 1, 2, 4, 3, 3, 0, 3, 4, 0, 4, 0, 4, 3, 2, 1, 3, 3, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 4, 4, 0, 3, 0, 0, 1, 3, 1, 4, 0, 1, 2, 2, 2, 4, 2, 1, 4, 4, 3, 2, 4, 2, 2, 4, 2, 3, 2, 0, 2, 1, 2, 3, 0, 3, 3, 0, 2, 4, 4, 0, 0, 1, 0, 0, 3, 2, 3, 0, 2, 1, 2, 4, 3, 2, 1, 2, 3, 4, 1, 2, 4, 0, 3, 1, 0, 4, 0, 4, 3, 2, 1, 0, 0, 3, 1, 4, 4, 3, 4, 1, 0, 0, 3, 1, 0, 2, 0, 4, 2, 2, 2, 3, 1, 1, 0, 4, 3, 4, 4, 1, 1, 3, 1, 3, 0, 2, 4, 0, 1, 4, 4, 4, 4, 2, 2, 2, 0, 1, 0, 2, 0, 4, 3, 0, 1, 2, 2, 2, 2, 4, 1, 4, 2, 3, 1, 0, 1, 3, 2, 0, 1, 4, 4, 4, 1, 1, 3, 4, 1, 3, 3, 4, 4, 3, 2, 1, 1, 3, 0, 3, 1, 0, 2, 3, 4, 3, 3, 3, 0, 3, 2, 3, 3, 0, 3, 4, 0, 2, 4, 4, 3, 4, 0, 0, 0, 4, 2, 1, 3, 2, 3, 3, 0, 4, 4, 0, 2, 3, 2, 2, 2, 3, 0, 1, 0, 1, 0, 1, 2, 4, 0, 0, 1, 0, 3, 3, 2, 4, 0, 1, 1, 2, 2, 1, 4, 0, 0, 1, 2, 0, 4, 1, 3, 3, 2, 0, 4, 3, 4, 0, 0, 2, 2, 1, 1, 1, 0, 4, 4, 4, 3, 3, 4, 3, 4, 0, 0, 0, 1, 4, 1, 3, 2, 4, 1, 2, 0, 3, 3, 4, 2, 0, 2, 0, 0, 0, 0, 3, 3, 3, 3, 0, 4, 3, 3, 2, 3, 0, 4, 1, 4, 4, 1, 1, 0, 3, 3, 3, 0, 3, 4, 2, 1, 1, 3, 0, 0, 0, 4, 1, 1, 3, 0, 2, 4, 1, 4, 3, 1, 0, 4, 2, 1, 2, 3] pubkeycol1522 = [2, 3, 4, 4, 4, 3, 1, 2, 0, 1, 0, 1, 1, 4, 1, 1, 0, 0, 1, 0, 0, 2, 4, 0, 0, 2, 0, 1, 2, 3, 0, 4, 0, 0, 2, 2, 2, 2, 0, 1, 0, 4, 0, 4, 2, 1, 3, 2, 1, 2, 2, 4, 0, 4, 3, 0, 4, 1, 3, 4, 1, 0, 1, 4, 3, 2, 2, 2, 1, 2, 0, 3, 1, 2, 1, 2, 2, 4, 1, 3, 4, 0, 3, 1, 4, 2, 4, 2, 0, 2, 3, 3, 2, 1, 2, 4, 4, 2, 3, 0, 2, 3, 2, 0, 2, 2, 2, 1, 3, 2, 2, 4, 0, 2, 4, 2, 1, 3, 0, 2, 3, 0, 1, 0, 4, 0, 0, 3, 1, 3, 3, 1, 3, 4, 3, 0, 2, 0, 3, 2, 3, 2, 1, 3, 0, 3, 4, 2, 0, 1, 4, 4, 3, 1, 1, 0, 3, 3, 4, 0, 2, 0, 3, 4, 3, 1, 4, 0, 3, 3, 0, 0, 0, 1, 0, 2, 2, 3, 3, 3, 2, 0, 0, 1, 3, 3, 0, 2, 2, 1, 1, 4, 3, 2, 4, 4, 0, 1, 3, 4, 2, 1, 0, 2, 4, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 3, 3, 0, 1, 1, 3, 3, 1, 3, 3, 0, 4, 0, 3, 3, 1, 1, 4, 0, 1, 1, 2, 1, 2, 0, 3, 3, 2, 3, 1, 4, 1, 4, 4, 4, 4, 2, 1, 1, 0, 4, 1, 1, 3, 1, 2, 4, 3, 4, 4, 1, 0, 3, 0, 3, 4, 2, 1, 1, 0, 1, 4, 0, 0, 3, 2, 1, 1, 4, 0, 2, 0, 4, 0, 0, 1, 2, 4, 4, 1, 2, 1, 0, 2, 0, 4, 1, 1, 4, 0, 3, 4, 0, 0, 3, 0, 0, 1, 1, 0, 0, 3, 0, 4, 4, 2, 1, 3, 4, 4, 3, 3, 1, 0, 1, 3, 0, 0, 3, 2, 2, 0, 0, 4, 0, 2, 0, 3, 3, 0, 2, 4, 2, 3, 3, 0, 1, 3, 1, 0, 3, 3, 3, 4, 1, 4, 2, 0, 2, 2, 1, 2, 0, 0, 3, 4, 3, 0, 0, 2, 3, 2, 2, 4, 0, 4, 0, 0, 0, 0, 3, 0, 4, 1, 0, 2, 2, 3, 4, 1, 0, 3, 1, 1, 2, 4, 1, 2, 2, 4, 4, 3, 3, 2, 4, 0, 3, 2, 0, 3, 1, 1, 1, 4, 3, 4, 0, 2, 1, 0, 4, 1, 4, 3, 0, 2, 1, 4, 0, 1, 3, 2, 1, 3, 2, 3, 4, 0, 0, 4, 1, 3, 1, 0, 4, 0, 1, 3, 4, 3, 0, 0, 2, 3, 1, 3, 1, 2, 0, 4, 2, 1, 1, 4, 2, 1, 4, 4] pubkeycol1523 = [4, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 3, 4, 1, 3, 4, 2, 4, 3, 3, 2, 1, 1, 3, 4, 4, 4, 1, 3, 3, 4, 2, 2, 4, 3, 3, 2, 0, 1, 3, 1, 2, 1, 2, 3, 0, 2, 0, 1, 0, 4, 4, 0, 4, 3, 1, 3, 1, 1, 4, 4, 1, 0, 3, 2, 3, 3, 4, 0, 2, 4, 3, 2, 0, 1, 3, 3, 1, 3, 3, 0, 4, 4, 0, 3, 0, 1, 0, 3, 0, 4, 2, 1, 4, 2, 3, 4, 2, 3, 2, 0, 2, 2, 1, 0, 4, 4, 3, 4, 0, 2, 3, 1, 4, 3, 4, 2, 4, 1, 1, 1, 0, 0, 0, 4, 0, 1, 2, 1, 2, 0, 0, 2, 2, 3, 4, 0, 3, 2, 0, 4, 1, 0, 4, 0, 0, 3, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 3, 2, 0, 4, 4, 2, 0, 1, 4, 4, 1, 0, 1, 4, 4, 2, 1, 4, 1, 2, 3, 3, 0, 4, 1, 3, 2, 1, 2, 4, 1, 4, 4, 1, 2, 0, 0, 4, 2, 1, 1, 3, 0, 0, 0, 3, 0, 0, 0, 0, 1, 4, 1, 0, 2, 1, 0, 1, 3, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 3, 3, 4, 1, 2, 4, 1, 2, 1, 2, 1, 0, 2, 4, 0, 4, 2, 4, 3, 0, 0, 1, 4, 0, 1, 1, 1, 2, 1, 1, 4, 1, 4, 3, 3, 3, 4, 3, 4, 4, 0, 2, 0, 3, 0, 0, 3, 4, 0, 4, 4, 2, 1, 0, 0, 0, 0, 3, 0, 2, 0, 1, 1, 3, 1, 1, 1, 3, 2, 0, 1, 2, 0, 3, 2, 1, 1, 0, 1, 4, 4, 4, 3, 1, 1, 1, 0, 2, 4, 1, 3, 2, 2, 1, 3, 4, 2, 1, 4, 3, 1, 1, 1, 3, 4, 2, 2, 2, 0, 1, 1, 1, 4, 1, 1, 2, 4, 0, 2, 0, 3, 3, 1, 1, 4, 4, 2, 0, 2, 4, 0, 2, 4, 0, 1, 2, 0, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 1, 1, 1, 0, 3, 3, 2, 0, 4, 2, 1, 1, 1, 3, 3, 4, 3, 1, 2, 2, 4, 4, 4, 3, 1, 4, 3, 4, 2, 2, 2, 3, 3, 4, 1, 1, 1, 4, 2, 1, 0, 3, 0, 4, 3, 3, 3, 2, 3, 4, 1, 0, 3, 2, 4, 2, 0, 0, 0, 3, 4, 0, 2, 0, 1, 4, 3, 1, 4, 3, 3, 0, 2, 2, 0, 4, 2, 0, 3, 1, 4, 2, 4, 1, 1, 2, 1, 1, 3, 3, 2, 3, 0, 2, 3, 4, 3, 0, 3, 0, 2, 4, 0, 4, 4, 3] pubkeycol1524 = [2, 4, 1, 4, 1, 2, 0, 2, 2, 0, 0, 4, 4, 3, 4, 1, 4, 4, 1, 2, 0, 4, 1, 3, 0, 1, 0, 1, 0, 3, 3, 3, 0, 4, 1, 1, 0, 3, 1, 4, 3, 0, 1, 0, 0, 1, 2, 0, 4, 2, 1, 4, 2, 2, 1, 4, 1, 0, 3, 0, 4, 2, 4, 1, 2, 0, 2, 3, 1, 4, 1, 4, 3, 0, 2, 0, 2, 3, 3, 1, 4, 2, 4, 0, 3, 0, 2, 1, 4, 1, 3, 3, 4, 3, 0, 1, 4, 0, 3, 1, 0, 1, 4, 0, 3, 0, 4, 2, 0, 1, 4, 2, 1, 4, 4, 3, 4, 2, 4, 2, 4, 1, 4, 2, 0, 1, 0, 1, 1, 0, 2, 3, 1, 0, 1, 3, 4, 3, 0, 4, 3, 2, 4, 0, 4, 2, 2, 0, 0, 0, 3, 3, 4, 1, 2, 3, 2, 4, 3, 0, 2, 0, 2, 0, 1, 1, 3, 1, 0, 4, 3, 0, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 3, 0, 1, 0, 3, 0, 0, 1, 0, 4, 1, 4, 3, 1, 1, 3, 2, 1, 0, 4, 1, 2, 4, 2, 1, 1, 2, 2, 1, 0, 3, 1, 0, 4, 2, 0, 2, 1, 0, 4, 1, 4, 1, 0, 4, 3, 1, 3, 2, 4, 1, 3, 4, 1, 0, 0, 4, 2, 4, 2, 0, 1, 4, 4, 3, 0, 1, 1, 4, 2, 0, 0, 0, 4, 0, 2, 4, 1, 1, 0, 2, 0, 3, 4, 4, 4, 0, 0, 0, 2, 4, 4, 2, 1, 0, 2, 0, 2, 0, 1, 4, 3, 0, 3, 4, 4, 0, 1, 0, 1, 4, 3, 2, 4, 0, 1, 4, 4, 0, 1, 0, 0, 3, 3, 4, 3, 2, 0, 1, 2, 2, 2, 3, 3, 3, 4, 2, 4, 4, 0, 3, 3, 1, 0, 3, 3, 2, 1, 3, 2, 4, 4, 3, 2, 0, 2, 1, 1, 3, 0, 2, 1, 0, 1, 4, 0, 3, 2, 1, 4, 0, 3, 2, 0, 4, 0, 3, 2, 1, 1, 0, 1, 3, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 3, 3, 4, 4, 2, 4, 4, 0, 2, 2, 3, 2, 4, 3, 0, 4, 2, 4, 1, 2, 0, 2, 4, 2, 1, 1, 1, 1, 2, 4, 2, 0, 2, 1, 1, 4, 4, 3, 3, 0, 3, 3, 2, 1, 0, 0, 0, 2, 3, 2, 4, 1, 0, 4, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 4, 2, 2, 0, 3, 1, 0, 3, 2, 4, 2, 0, 0, 0, 2, 3, 4, 2, 2, 0, 2, 3, 2, 2, 3, 3, 3, 3, 0, 1, 3, 0, 1, 1, 2, 1, 4] pubkeycol1525 = [2, 4, 3, 3, 2, 0, 0, 3, 0, 3, 0, 0, 2, 0, 1, 0, 3, 1, 2, 3, 4, 0, 2, 4, 2, 2, 0, 0, 1, 1, 1, 3, 3, 1, 2, 2, 4, 0, 2, 3, 1, 3, 2, 0, 1, 3, 4, 0, 0, 1, 3, 2, 0, 0, 4, 3, 2, 3, 2, 2, 0, 1, 0, 1, 4, 3, 3, 0, 2, 2, 4, 3, 1, 2, 4, 2, 3, 1, 1, 4, 4, 2, 4, 3, 4, 4, 3, 1, 1, 0, 3, 3, 2, 1, 1, 0, 3, 4, 0, 2, 4, 1, 0, 2, 3, 1, 3, 3, 4, 4, 2, 0, 4, 1, 2, 0, 1, 3, 3, 0, 3, 1, 2, 0, 3, 4, 0, 2, 0, 2, 2, 4, 2, 2, 0, 0, 4, 1, 3, 1, 0, 2, 3, 0, 3, 0, 2, 2, 1, 1, 3, 1, 0, 4, 3, 1, 0, 2, 2, 3, 0, 3, 0, 2, 4, 3, 3, 0, 2, 2, 1, 2, 4, 4, 1, 0, 3, 3, 1, 3, 4, 4, 0, 0, 2, 2, 4, 4, 2, 3, 2, 4, 3, 3, 0, 0, 3, 3, 1, 0, 2, 2, 1, 4, 1, 0, 4, 2, 3, 3, 3, 4, 3, 2, 3, 0, 4, 1, 3, 4, 3, 1, 2, 0, 4, 4, 4, 2, 4, 1, 4, 3, 3, 4, 4, 0, 4, 1, 2, 2, 4, 3, 3, 1, 4, 2, 1, 1, 4, 4, 3, 0, 2, 1, 2, 3, 4, 1, 1, 3, 0, 0, 4, 4, 4, 2, 3, 2, 4, 2, 4, 0, 1, 0, 1, 4, 3, 1, 3, 3, 2, 3, 3, 4, 0, 3, 3, 1, 1, 3, 0, 1, 3, 4, 0, 0, 2, 3, 0, 4, 4, 3, 2, 1, 3, 3, 0, 2, 2, 0, 0, 0, 3, 4, 2, 4, 3, 0, 3, 1, 2, 3, 3, 2, 0, 2, 1, 2, 3, 2, 3, 3, 2, 1, 0, 3, 1, 2, 0, 4, 2, 2, 2, 0, 4, 2, 0, 1, 2, 4, 4, 3, 1, 2, 0, 2, 1, 2, 4, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 4, 3, 3, 0, 3, 1, 4, 1, 4, 2, 0, 4, 1, 2, 3, 2, 1, 3, 3, 4, 0, 0, 1, 4, 4, 0, 2, 4, 4, 3, 2, 0, 3, 3, 2, 1, 2, 3, 4, 1, 2, 4, 3, 4, 0, 1, 4, 3, 3, 3, 0, 3, 1, 0, 1, 0, 3, 1, 4, 4, 1, 1, 0, 2, 1, 3, 3, 1, 1, 4, 4, 0, 4, 4, 0, 4, 4, 2, 2, 4, 3, 2, 3, 4, 2, 3, 2, 4, 1, 3, 2, 4, 0, 1, 3, 4, 1, 1, 3, 3, 0, 0, 2, 4, 4, 4, 0, 3, 1, 1, 3] pubkeycol1526 = [2, 0, 0, 0, 4, 3, 1, 3, 1, 3, 4, 4, 4, 4, 3, 4, 2, 1, 2, 0, 4, 2, 4, 0, 3, 2, 3, 4, 1, 4, 1, 2, 0, 3, 4, 2, 0, 3, 1, 3, 1, 2, 1, 0, 3, 1, 2, 3, 3, 1, 4, 0, 1, 1, 4, 1, 3, 3, 2, 0, 0, 0, 1, 1, 1, 0, 3, 1, 2, 1, 0, 4, 1, 0, 1, 0, 2, 4, 4, 0, 0, 3, 0, 4, 4, 4, 4, 4, 1, 0, 3, 1, 1, 3, 3, 2, 4, 0, 2, 0, 0, 3, 0, 4, 1, 3, 4, 3, 3, 3, 4, 0, 4, 3, 2, 3, 0, 3, 3, 2, 3, 2, 1, 2, 4, 1, 1, 0, 1, 3, 1, 1, 2, 4, 4, 3, 4, 2, 4, 3, 0, 3, 4, 1, 4, 1, 3, 0, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 1, 2, 0, 3, 4, 0, 1, 4, 0, 3, 2, 3, 3, 3, 3, 2, 2, 1, 0, 2, 2, 2, 0, 4, 1, 2, 2, 2, 3, 3, 0, 3, 2, 2, 4, 4, 1, 2, 3, 0, 0, 0, 0, 0, 3, 1, 4, 2, 1, 3, 1, 0, 1, 3, 2, 2, 1, 0, 3, 4, 0, 4, 1, 2, 3, 3, 4, 2, 3, 4, 0, 0, 3, 4, 2, 4, 4, 3, 2, 2, 2, 2, 0, 3, 1, 0, 4, 3, 3, 0, 1, 4, 0, 4, 0, 2, 1, 0, 4, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 3, 0, 0, 3, 4, 1, 2, 3, 1, 1, 0, 0, 2, 2, 0, 3, 1, 0, 3, 3, 1, 4, 3, 4, 2, 2, 1, 3, 4, 3, 1, 1, 3, 1, 3, 2, 2, 2, 0, 1, 2, 0, 3, 4, 1, 0, 0, 2, 4, 3, 0, 4, 0, 2, 3, 2, 4, 3, 3, 3, 4, 1, 1, 3, 4, 4, 0, 0, 4, 2, 2, 3, 3, 4, 4, 4, 1, 0, 3, 3, 1, 3, 2, 0, 4, 4, 0, 0, 1, 1, 1, 2, 1, 0, 2, 3, 1, 2, 3, 1, 4, 0, 2, 2, 3, 4, 4, 3, 1, 4, 4, 0, 1, 3, 3, 3, 2, 3, 2, 4, 4, 4, 2, 3, 0, 1, 0, 0, 0, 2, 3, 3, 1, 3, 0, 1, 2, 2, 3, 4, 3, 1, 3, 1, 2, 4, 4, 4, 1, 1, 4, 4, 1, 4, 4, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 4, 2, 3, 2, 3, 1, 0, 1, 4, 3, 1, 0, 1, 3, 2, 3, 4, 3, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 4, 4, 2, 4, 1, 1, 4, 0, 2, 2, 1, 2, 1, 3, 4, 0, 3, 2] pubkeycol1527 = [2, 4, 4, 1, 3, 1, 0, 2, 2, 4, 1, 3, 0, 1, 2, 3, 3, 4, 1, 4, 1, 0, 3, 4, 2, 2, 1, 2, 4, 3, 1, 3, 0, 0, 3, 2, 2, 3, 0, 0, 3, 0, 3, 4, 1, 1, 1, 4, 1, 1, 3, 4, 4, 2, 4, 4, 0, 4, 3, 3, 1, 1, 0, 3, 2, 3, 2, 1, 1, 0, 0, 3, 4, 4, 3, 0, 0, 1, 1, 0, 0, 0, 2, 0, 3, 1, 4, 2, 0, 0, 4, 2, 2, 0, 1, 2, 3, 2, 4, 0, 2, 3, 2, 1, 3, 4, 1, 0, 1, 1, 4, 0, 2, 2, 3, 0, 0, 3, 0, 1, 1, 2, 3, 3, 4, 4, 3, 1, 0, 1, 3, 0, 3, 0, 4, 3, 3, 2, 0, 1, 0, 1, 0, 4, 0, 3, 3, 3, 2, 2, 0, 0, 3, 0, 1, 0, 3, 2, 1, 0, 0, 0, 1, 3, 2, 1, 0, 4, 4, 1, 1, 2, 2, 3, 3, 3, 1, 4, 2, 0, 2, 3, 0, 0, 4, 4, 1, 1, 2, 1, 1, 4, 0, 3, 2, 2, 4, 0, 3, 3, 1, 1, 3, 4, 3, 2, 3, 2, 3, 1, 4, 1, 2, 4, 4, 3, 4, 0, 2, 2, 1, 1, 4, 1, 4, 0, 0, 4, 4, 3, 2, 1, 4, 1, 1, 3, 4, 1, 3, 1, 0, 3, 4, 0, 0, 1, 3, 3, 3, 3, 1, 1, 4, 3, 2, 2, 2, 1, 3, 3, 4, 0, 2, 4, 0, 1, 3, 2, 0, 3, 1, 2, 2, 4, 3, 0, 0, 2, 2, 3, 4, 1, 0, 1, 0, 0, 2, 4, 0, 4, 0, 4, 4, 3, 3, 0, 4, 4, 1, 2, 3, 2, 2, 1, 3, 4, 4, 0, 1, 3, 2, 0, 0, 1, 3, 3, 2, 0, 1, 4, 1, 1, 0, 2, 4, 1, 1, 3, 3, 1, 0, 2, 1, 0, 1, 0, 1, 4, 0, 3, 4, 2, 0, 4, 2, 0, 3, 2, 2, 4, 4, 3, 1, 2, 4, 3, 3, 4, 3, 2, 3, 2, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 2, 3, 1, 0, 3, 2, 2, 1, 4, 0, 1, 0, 2, 4, 1, 1, 1, 1, 4, 1, 4, 3, 0, 4, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 1, 3, 4, 2, 4, 1, 4, 0, 4, 4, 1, 0, 1, 1, 2, 2, 0, 0, 2, 4, 0, 0, 3, 1, 3, 4, 3, 2, 4, 2, 0, 2, 2, 4, 2, 2, 1, 3, 0, 2, 3, 0, 2, 3, 4, 0, 3, 1, 3, 0, 0, 1, 1, 2, 4, 3, 3, 4, 4, 4, 4, 3, 1, 3, 1, 3, 3, 3, 0, 1, 1, 0, 3] pubkeycol1528 = [4, 3, 4, 0, 3, 0, 2, 4, 0, 0, 2, 4, 1, 4, 1, 2, 2, 0, 2, 3, 1, 4, 3, 4, 2, 4, 3, 4, 1, 0, 0, 1, 1, 3, 0, 4, 2, 1, 3, 1, 4, 3, 1, 3, 0, 0, 3, 1, 3, 2, 2, 0, 4, 0, 2, 1, 2, 2, 0, 2, 3, 1, 3, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 3, 4, 4, 3, 0, 1, 0, 4, 3, 0, 0, 1, 0, 3, 1, 1, 0, 3, 4, 3, 0, 1, 0, 1, 2, 0, 1, 1, 1, 3, 3, 3, 3, 3, 0, 1, 3, 3, 2, 3, 0, 1, 4, 1, 3, 3, 1, 4, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 3, 2, 3, 4, 1, 0, 2, 4, 3, 4, 4, 3, 4, 3, 2, 3, 0, 1, 1, 4, 1, 2, 2, 4, 3, 1, 3, 3, 3, 2, 2, 3, 4, 4, 4, 3, 1, 2, 4, 1, 2, 2, 4, 0, 0, 3, 4, 0, 2, 3, 4, 4, 2, 1, 4, 4, 3, 4, 1, 3, 0, 1, 4, 1, 2, 3, 0, 2, 2, 4, 0, 0, 0, 1, 2, 1, 4, 0, 1, 4, 4, 2, 2, 4, 2, 2, 1, 4, 3, 3, 1, 4, 1, 2, 2, 3, 3, 1, 4, 0, 4, 3, 0, 1, 4, 2, 3, 4, 2, 4, 4, 0, 3, 0, 3, 4, 4, 1, 4, 4, 2, 0, 2, 2, 4, 0, 1, 4, 2, 0, 3, 1, 2, 1, 1, 3, 1, 3, 3, 3, 0, 1, 4, 0, 3, 1, 1, 2, 2, 1, 1, 4, 0, 0, 2, 0, 2, 0, 4, 4, 3, 1, 1, 4, 1, 0, 3, 1, 3, 1, 2, 2, 0, 2, 4, 2, 0, 2, 1, 4, 0, 2, 3, 0, 2, 4, 4, 3, 3, 2, 2, 0, 1, 0, 0, 4, 4, 0, 0, 3, 3, 4, 2, 4, 2, 0, 4, 3, 3, 2, 1, 2, 3, 2, 0, 3, 2, 4, 3, 0, 4, 2, 3, 0, 3, 1, 2, 2, 3, 4, 2, 1, 4, 0, 4, 2, 3, 1, 0, 1, 1, 0, 4, 2, 2, 4, 4, 0, 3, 3, 0, 2, 3, 2, 1, 1, 2, 2, 1, 0, 3, 2, 4, 4, 2, 3, 3, 4, 3, 3, 1, 3, 2, 2, 1, 2, 3, 4, 2, 2, 1, 0, 3, 3, 4, 0, 1, 4, 2, 4, 1, 4, 1, 1, 4, 2, 0, 3, 4, 3, 2, 3, 4, 0, 3, 1, 0, 1, 3, 4, 2, 3, 3, 1, 4, 3, 3, 0, 3, 3, 1, 3, 2, 3, 1, 3, 2, 4, 3, 1, 3, 3, 4, 4, 0, 1, 1, 3, 1, 4, 1] pubkeycol1529 = [4, 4, 1, 2, 2, 2, 1, 3, 4, 3, 0, 0, 2, 2, 0, 0, 3, 4, 2, 4, 3, 0, 1, 3, 2, 0, 3, 3, 0, 4, 4, 0, 4, 2, 2, 3, 2, 3, 3, 0, 0, 1, 2, 1, 1, 4, 3, 2, 1, 3, 3, 2, 3, 3, 3, 1, 0, 4, 0, 0, 3, 2, 2, 3, 3, 0, 1, 1, 3, 2, 2, 0, 1, 4, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 4, 4, 3, 4, 0, 0, 4, 2, 2, 3, 1, 2, 0, 3, 3, 1, 0, 4, 3, 3, 3, 4, 1, 3, 4, 1, 1, 1, 0, 2, 2, 4, 2, 1, 3, 3, 3, 2, 3, 3, 0, 3, 1, 3, 0, 0, 2, 4, 1, 0, 4, 0, 3, 0, 2, 4, 1, 1, 3, 2, 2, 0, 4, 1, 4, 0, 2, 0, 0, 2, 4, 1, 1, 3, 4, 0, 0, 2, 1, 1, 2, 4, 1, 1, 0, 0, 1, 1, 4, 0, 3, 4, 1, 4, 4, 2, 1, 3, 4, 1, 2, 3, 1, 0, 3, 2, 0, 4, 1, 3, 1, 2, 4, 2, 0, 4, 1, 0, 2, 1, 4, 2, 0, 1, 1, 4, 0, 4, 4, 1, 0, 0, 3, 2, 1, 4, 1, 4, 2, 3, 3, 0, 1, 3, 2, 3, 2, 2, 0, 1, 2, 0, 4, 3, 0, 3, 3, 0, 4, 4, 4, 3, 2, 0, 3, 4, 4, 4, 0, 4, 3, 4, 4, 4, 2, 2, 2, 0, 4, 1, 1, 4, 3, 2, 0, 2, 0, 0, 4, 3, 4, 3, 2, 0, 1, 4, 4, 0, 1, 3, 0, 4, 4, 0, 2, 0, 3, 4, 2, 3, 0, 4, 2, 0, 4, 4, 3, 0, 4, 2, 0, 2, 2, 0, 1, 3, 2, 1, 4, 0, 1, 3, 0, 1, 3, 3, 4, 1, 3, 3, 1, 1, 1, 0, 2, 0, 4, 4, 0, 0, 1, 3, 0, 4, 0, 1, 4, 4, 0, 4, 3, 1, 3, 2, 2, 3, 2, 4, 4, 2, 3, 4, 3, 2, 1, 4, 1, 0, 3, 3, 1, 3, 1, 1, 2, 1, 4, 0, 0, 0, 1, 2, 3, 4, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 3, 0, 4, 4, 3, 1, 3, 1, 4, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 4, 2, 0, 2, 0, 4, 3, 2, 3, 2, 2, 2, 1, 0, 2, 4, 3, 2, 0, 3, 4, 0, 2, 0, 2, 0, 4, 0, 3, 0, 0, 2, 4, 0, 3, 3, 1, 3, 1, 0, 1, 4, 1, 4, 1, 4, 0, 0, 4, 4, 4, 0, 0, 1, 2, 2, 0, 2, 2, 2, 3, 3, 3, 2, 4, 4, 4, 3] pubkeycol1530 = [3, 3, 0, 1, 0, 3, 4, 1, 3, 0, 3, 1, 3, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 4, 0, 3, 2, 0, 1, 0, 3, 2, 3, 4, 4, 1, 4, 3, 0, 3, 1, 2, 1, 2, 3, 4, 1, 1, 4, 1, 3, 0, 4, 2, 0, 3, 3, 3, 1, 2, 3, 0, 2, 0, 0, 3, 4, 2, 1, 0, 2, 4, 1, 3, 1, 3, 2, 1, 0, 1, 1, 3, 4, 0, 2, 3, 3, 2, 4, 1, 3, 1, 2, 4, 4, 4, 0, 3, 3, 0, 1, 3, 1, 3, 2, 2, 4, 4, 2, 3, 3, 1, 3, 1, 3, 1, 0, 0, 1, 1, 4, 0, 2, 2, 4, 4, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 3, 4, 2, 3, 1, 4, 1, 0, 2, 4, 1, 4, 0, 2, 3, 1, 2, 1, 4, 2, 4, 0, 0, 0, 4, 1, 4, 1, 4, 0, 4, 1, 2, 0, 4, 1, 1, 1, 1, 0, 3, 2, 1, 3, 3, 0, 4, 2, 1, 4, 0, 2, 1, 3, 4, 0, 2, 0, 4, 1, 4, 0, 2, 4, 2, 0, 4, 1, 2, 3, 2, 2, 0, 4, 1, 0, 3, 4, 0, 4, 4, 0, 0, 3, 3, 0, 2, 1, 3, 4, 4, 1, 4, 4, 1, 0, 3, 2, 4, 0, 2, 4, 1, 2, 3, 3, 0, 1, 2, 2, 1, 3, 0, 3, 0, 3, 4, 2, 2, 0, 2, 0, 3, 0, 1, 4, 4, 1, 0, 3, 3, 4, 0, 0, 0, 1, 0, 0, 1, 0, 3, 0, 3, 3, 2, 2, 0, 0, 2, 1, 0, 3, 3, 2, 4, 1, 3, 1, 1, 2, 0, 3, 0, 3, 2, 0, 2, 4, 4, 0, 4, 4, 2, 3, 2, 2, 3, 4, 0, 1, 4, 1, 2, 0, 4, 0, 4, 4, 1, 2, 0, 0, 3, 2, 1, 3, 4, 2, 2, 3, 3, 1, 4, 0, 3, 4, 4, 4, 0, 0, 4, 3, 4, 2, 3, 4, 1, 4, 2, 3, 0, 4, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 3, 3, 3, 2, 0, 3, 4, 4, 4, 4, 1, 2, 0, 3, 3, 2, 2, 1, 2, 1, 4, 3, 4, 3, 4, 4, 3, 2, 1, 4, 2, 4, 3, 0, 3, 4, 3, 1, 4, 4, 2, 2, 3, 1, 4, 1, 0, 3, 3, 4, 4, 0, 4, 3, 3, 2, 2, 0, 2, 2, 1, 0, 3, 2, 0, 1, 0, 0, 2, 1, 0, 0, 4, 1, 1, 2, 4, 3, 4, 1, 3, 2, 3, 4, 1, 4, 1, 0, 3, 0, 1, 0, 1, 4, 0, 2, 3, 4, 4, 3, 1, 0, 2, 1, 2, 1, 0, 3] pubkeycol1531 = [4, 4, 1, 2, 3, 0, 0, 3, 0, 1, 2, 2, 0, 3, 4, 4, 2, 2, 0, 4, 4, 3, 4, 0, 0, 0, 3, 4, 2, 0, 4, 3, 4, 2, 3, 2, 0, 1, 2, 0, 2, 3, 4, 0, 4, 3, 1, 1, 3, 4, 4, 4, 2, 1, 3, 4, 2, 0, 0, 3, 2, 3, 2, 2, 3, 0, 2, 2, 1, 0, 4, 3, 1, 3, 0, 0, 4, 4, 3, 2, 0, 1, 3, 2, 2, 4, 1, 0, 1, 0, 3, 3, 0, 3, 2, 1, 0, 3, 4, 3, 2, 1, 4, 1, 3, 2, 4, 4, 2, 0, 0, 0, 1, 3, 4, 0, 1, 3, 1, 2, 2, 3, 0, 1, 0, 3, 1, 1, 2, 1, 4, 1, 0, 2, 2, 1, 4, 4, 1, 3, 1, 3, 2, 2, 2, 1, 2, 2, 2, 1, 4, 0, 4, 0, 1, 2, 4, 1, 2, 4, 2, 4, 4, 0, 4, 2, 1, 2, 2, 2, 1, 2, 4, 4, 0, 2, 3, 2, 4, 2, 4, 4, 1, 1, 4, 2, 0, 3, 2, 4, 0, 4, 1, 3, 1, 0, 0, 1, 3, 4, 3, 3, 3, 0, 2, 0, 2, 2, 0, 0, 3, 1, 4, 0, 2, 0, 4, 3, 1, 4, 1, 4, 0, 0, 4, 1, 0, 2, 3, 3, 3, 3, 3, 4, 4, 3, 0, 3, 1, 3, 3, 4, 4, 0, 1, 4, 1, 3, 3, 0, 1, 2, 4, 2, 1, 0, 3, 0, 0, 0, 0, 3, 0, 1, 4, 0, 2, 0, 2, 0, 3, 0, 1, 0, 2, 2, 3, 4, 0, 2, 1, 1, 2, 0, 4, 3, 2, 3, 3, 1, 1, 1, 3, 2, 4, 3, 2, 1, 4, 4, 4, 4, 0, 0, 4, 3, 0, 0, 2, 2, 2, 2, 2, 0, 3, 0, 2, 3, 1, 1, 2, 2, 2, 2, 2, 3, 1, 0, 3, 1, 0, 2, 3, 0, 0, 2, 3, 1, 3, 1, 0, 1, 3, 2, 3, 1, 0, 3, 2, 3, 0, 2, 3, 2, 3, 1, 2, 4, 3, 4, 2, 3, 3, 4, 2, 4, 0, 1, 4, 2, 1, 1, 0, 3, 3, 1, 0, 4, 2, 0, 3, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 0, 2, 3, 3, 1, 2, 2, 0, 4, 3, 2, 4, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 3, 2, 3, 1, 2, 2, 0, 4, 3, 3, 4, 1, 0, 1, 0, 2, 2, 2, 0, 2, 4, 4, 1, 2, 4, 3, 3, 4, 2, 0, 1, 4, 0, 1, 1, 3, 2, 0, 3, 1, 4, 4, 4, 0, 2, 3, 4, 0, 1, 4, 2, 0, 0, 0, 4, 0, 1] pubkeycol1532 = [3, 1, 3, 4, 1, 3, 2, 2, 3, 3, 4, 0, 1, 3, 4, 1, 2, 1, 2, 2, 0, 0, 4, 1, 1, 4, 0, 1, 3, 2, 3, 2, 2, 2, 3, 2, 0, 0, 2, 2, 2, 4, 1, 0, 0, 2, 0, 4, 0, 2, 0, 4, 0, 3, 2, 1, 1, 1, 4, 0, 3, 2, 2, 4, 3, 2, 0, 0, 4, 1, 1, 3, 0, 2, 1, 1, 4, 1, 1, 2, 4, 4, 0, 2, 1, 3, 1, 1, 2, 0, 4, 0, 2, 0, 3, 3, 3, 0, 1, 3, 2, 2, 1, 4, 2, 1, 1, 4, 4, 0, 2, 3, 4, 0, 3, 0, 4, 2, 1, 2, 4, 4, 2, 3, 2, 0, 3, 2, 4, 4, 2, 3, 4, 2, 2, 4, 1, 0, 3, 0, 2, 2, 3, 3, 3, 4, 3, 0, 4, 0, 2, 1, 3, 4, 1, 3, 3, 3, 2, 1, 4, 2, 0, 4, 3, 0, 4, 4, 0, 1, 1, 0, 2, 3, 0, 4, 3, 0, 0, 0, 4, 2, 1, 0, 1, 1, 3, 1, 3, 1, 3, 1, 3, 2, 0, 4, 0, 2, 3, 2, 4, 0, 3, 3, 0, 4, 4, 2, 0, 0, 4, 1, 1, 2, 1, 1, 0, 1, 0, 1, 3, 2, 2, 3, 3, 2, 3, 0, 4, 3, 4, 2, 3, 4, 3, 3, 4, 0, 2, 2, 0, 4, 2, 0, 0, 4, 0, 4, 2, 4, 3, 3, 1, 0, 1, 2, 1, 1, 4, 1, 3, 2, 4, 3, 4, 3, 4, 1, 4, 1, 4, 4, 0, 2, 4, 2, 4, 2, 1, 1, 3, 2, 4, 4, 1, 1, 3, 0, 3, 3, 1, 4, 0, 0, 2, 0, 1, 1, 4, 0, 3, 2, 1, 1, 1, 0, 0, 0, 2, 0, 3, 3, 1, 2, 0, 1, 1, 3, 4, 2, 1, 1, 2, 1, 1, 4, 1, 2, 3, 4, 4, 0, 3, 2, 1, 1, 4, 2, 2, 4, 2, 4, 4, 1, 2, 1, 0, 4, 4, 3, 2, 2, 3, 1, 2, 0, 3, 3, 0, 3, 1, 0, 3, 0, 4, 3, 4, 1, 1, 2, 0, 0, 2, 3, 3, 2, 4, 0, 1, 3, 3, 4, 4, 3, 4, 1, 4, 4, 1, 2, 4, 1, 1, 2, 1, 4, 3, 4, 2, 0, 0, 0, 2, 1, 4, 2, 4, 1, 3, 2, 0, 1, 2, 1, 4, 3, 1, 2, 2, 4, 3, 0, 4, 0, 1, 0, 3, 0, 0, 3, 0, 4, 0, 1, 4, 0, 2, 2, 0, 1, 1, 2, 0, 4, 4, 1, 1, 2, 3, 4, 0, 1, 1, 2, 4, 3, 2, 1, 0, 2, 2, 2, 0, 4, 1, 2, 2, 1, 2, 2, 0, 4, 3, 4, 3, 1, 0, 4, 4, 0] pubkeycol1533 = [3, 4, 4, 2, 3, 0, 0, 2, 2, 0, 1, 4, 2, 3, 4, 4, 4, 0, 3, 1, 0, 4, 0, 2, 1, 0, 1, 2, 0, 3, 1, 0, 0, 3, 0, 4, 0, 1, 1, 3, 3, 3, 3, 0, 2, 4, 0, 1, 0, 4, 3, 3, 2, 0, 1, 4, 2, 1, 3, 4, 1, 3, 0, 0, 0, 2, 2, 1, 4, 3, 3, 1, 4, 4, 0, 4, 4, 3, 4, 2, 1, 2, 0, 2, 2, 2, 0, 3, 3, 4, 4, 2, 2, 1, 4, 2, 2, 0, 0, 2, 2, 2, 2, 4, 0, 3, 1, 0, 0, 4, 4, 2, 1, 3, 4, 3, 0, 2, 0, 3, 3, 2, 1, 2, 2, 4, 2, 3, 1, 2, 0, 0, 2, 1, 0, 3, 3, 4, 1, 0, 4, 1, 2, 0, 3, 1, 0, 4, 0, 0, 4, 0, 2, 3, 1, 3, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 2, 4, 4, 1, 1, 2, 3, 2, 4, 4, 3, 1, 3, 2, 1, 0, 0, 3, 1, 3, 1, 2, 4, 2, 4, 4, 3, 2, 4, 3, 1, 4, 3, 3, 1, 0, 3, 3, 2, 3, 3, 4, 3, 1, 0, 1, 1, 2, 4, 1, 1, 3, 4, 2, 3, 4, 4, 1, 1, 4, 2, 0, 1, 4, 0, 1, 2, 4, 1, 4, 4, 4, 4, 0, 4, 2, 4, 0, 4, 0, 3, 3, 2, 1, 3, 3, 4, 0, 0, 4, 4, 3, 4, 2, 1, 0, 1, 2, 3, 2, 1, 0, 1, 2, 2, 3, 4, 0, 0, 3, 4, 0, 0, 0, 2, 4, 2, 3, 4, 1, 2, 3, 2, 3, 1, 3, 1, 2, 4, 2, 2, 2, 1, 2, 4, 1, 3, 4, 2, 1, 3, 0, 3, 4, 4, 1, 2, 1, 3, 0, 0, 1, 4, 2, 4, 4, 0, 4, 2, 0, 3, 0, 3, 3, 2, 1, 1, 1, 2, 4, 0, 0, 3, 3, 3, 2, 2, 3, 2, 1, 4, 4, 3, 4, 3, 2, 2, 2, 1, 2, 3, 1, 4, 4, 0, 4, 0, 2, 2, 0, 0, 4, 0, 4, 0, 0, 4, 3, 0, 0, 0, 4, 0, 3, 0, 4, 3, 3, 2, 3, 2, 1, 3, 4, 3, 4, 0, 1, 1, 1, 3, 3, 2, 3, 4, 4, 2, 4, 0, 0, 4, 0, 0, 3, 2, 2, 4, 2, 4, 0, 1, 0, 4, 1, 3, 1, 0, 2, 1, 2, 0, 2, 4, 3, 0, 1, 2, 2, 2, 2, 3, 0, 0, 3, 0, 1, 3, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 4, 2, 0, 1, 4, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 4, 4, 0, 2, 3, 4, 3] pubkeycol1534 = [0, 1, 1, 0, 0, 1, 3, 1, 2, 1, 4, 0, 0, 1, 4, 1, 0, 1, 1, 3, 4, 3, 0, 4, 4, 2, 0, 0, 2, 0, 1, 3, 0, 0, 0, 2, 3, 2, 1, 0, 4, 4, 1, 2, 2, 4, 3, 1, 2, 3, 1, 1, 1, 4, 3, 4, 0, 3, 1, 1, 0, 1, 2, 4, 1, 4, 4, 1, 0, 2, 4, 3, 1, 0, 1, 3, 2, 0, 2, 1, 2, 4, 3, 4, 4, 1, 2, 4, 0, 0, 0, 4, 2, 4, 3, 4, 0, 3, 4, 0, 4, 2, 4, 3, 1, 2, 3, 0, 1, 2, 2, 2, 4, 0, 3, 4, 0, 4, 4, 2, 1, 2, 4, 0, 1, 0, 0, 3, 1, 0, 4, 3, 2, 4, 4, 4, 2, 2, 3, 1, 1, 3, 3, 3, 4, 4, 4, 0, 2, 3, 1, 0, 3, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 4, 4, 1, 1, 3, 4, 2, 2, 4, 2, 1, 3, 3, 3, 0, 1, 2, 4, 1, 1, 1, 0, 0, 4, 4, 2, 3, 4, 3, 1, 0, 3, 2, 3, 4, 0, 0, 3, 3, 4, 2, 0, 2, 2, 3, 0, 4, 0, 1, 0, 1, 3, 1, 2, 1, 3, 3, 0, 4, 4, 3, 0, 2, 4, 3, 2, 1, 0, 3, 2, 2, 2, 4, 3, 4, 0, 2, 3, 3, 0, 2, 4, 0, 3, 4, 4, 3, 4, 3, 0, 4, 4, 3, 1, 0, 1, 1, 1, 3, 3, 1, 0, 1, 1, 3, 0, 1, 4, 1, 1, 4, 0, 3, 1, 3, 0, 2, 4, 3, 2, 4, 0, 3, 2, 3, 2, 3, 2, 2, 2, 2, 0, 3, 3, 3, 0, 1, 4, 4, 0, 1, 2, 2, 1, 3, 4, 2, 2, 1, 4, 2, 1, 2, 0, 1, 3, 1, 1, 3, 2, 1, 4, 2, 0, 4, 4, 2, 2, 2, 4, 1, 1, 4, 1, 0, 0, 1, 1, 4, 4, 4, 0, 4, 1, 4, 2, 1, 3, 0, 4, 3, 0, 3, 1, 4, 3, 4, 3, 2, 1, 0, 1, 3, 4, 3, 1, 2, 1, 3, 1, 2, 3, 3, 1, 2, 0, 3, 3, 0, 2, 4, 1, 0, 0, 3, 2, 4, 1, 3, 4, 0, 1, 0, 4, 0, 2, 2, 2, 4, 1, 3, 3, 4, 2, 2, 2, 3, 4, 2, 0, 0, 3, 4, 4, 3, 3, 1, 1, 2, 4, 4, 1, 3, 0, 3, 0, 3, 0, 0, 4, 1, 1, 3, 2, 0, 4, 4, 2, 3, 0, 1, 3, 3, 0, 3, 4, 0, 4, 0, 0, 0, 4, 0, 1, 0, 3, 0, 2, 0, 4, 4, 2, 3, 3, 0, 1, 2, 0, 3, 4, 1, 0, 1, 3, 3, 3] pubkeycol1535 = [4, 1, 4, 2, 0, 4, 2, 0, 0, 2, 3, 3, 1, 0, 1, 2, 4, 2, 0, 2, 0, 0, 1, 4, 3, 2, 3, 4, 1, 1, 4, 0, 1, 0, 3, 1, 0, 4, 1, 0, 4, 3, 4, 1, 3, 0, 4, 1, 3, 0, 3, 3, 2, 0, 4, 2, 0, 0, 1, 2, 1, 2, 3, 1, 1, 0, 3, 2, 1, 2, 3, 0, 4, 0, 3, 2, 4, 1, 1, 3, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 3, 2, 1, 4, 0, 3, 2, 3, 3, 1, 4, 0, 4, 1, 2, 4, 0, 0, 3, 3, 1, 3, 4, 0, 2, 3, 1, 2, 0, 1, 4, 3, 3, 3, 4, 0, 0, 4, 1, 1, 0, 4, 4, 1, 1, 1, 2, 1, 4, 3, 3, 2, 0, 4, 1, 2, 0, 0, 4, 4, 1, 0, 2, 3, 4, 0, 0, 2, 0, 1, 3, 1, 3, 4, 1, 3, 4, 1, 4, 1, 0, 0, 2, 0, 3, 3, 4, 0, 4, 0, 3, 1, 4, 4, 4, 0, 3, 4, 1, 0, 1, 1, 0, 4, 4, 1, 2, 3, 2, 2, 0, 2, 1, 4, 4, 2, 0, 3, 1, 1, 3, 3, 2, 1, 2, 3, 2, 1, 1, 2, 1, 0, 2, 4, 1, 2, 4, 1, 0, 2, 3, 0, 0, 1, 2, 1, 1, 1, 1, 4, 0, 3, 2, 0, 1, 3, 2, 1, 3, 4, 3, 0, 2, 1, 2, 1, 0, 0, 3, 0, 1, 3, 0, 1, 4, 4, 2, 1, 2, 0, 1, 3, 1, 4, 3, 2, 0, 3, 1, 2, 2, 1, 2, 2, 4, 1, 0, 0, 4, 0, 0, 0, 0, 4, 4, 2, 4, 3, 1, 4, 0, 4, 2, 2, 0, 4, 1, 1, 3, 3, 3, 1, 3, 2, 1, 1, 1, 3, 0, 1, 4, 2, 1, 0, 4, 4, 1, 1, 2, 0, 0, 0, 4, 3, 4, 0, 0, 0, 4, 1, 2, 2, 4, 0, 3, 1, 0, 2, 3, 0, 4, 3, 1, 2, 4, 3, 3, 2, 2, 2, 0, 0, 2, 0, 4, 3, 1, 2, 4, 1, 4, 4, 0, 1, 3, 0, 4, 4, 4, 4, 1, 3, 3, 0, 0, 0, 0, 4, 4, 0, 1, 3, 2, 4, 1, 1, 4, 0, 2, 0, 3, 2, 4, 2, 4, 4, 3, 0, 3, 4, 2, 4, 3, 4, 0, 0, 1, 0, 3, 0, 2, 4, 3, 1, 3, 0, 0, 0, 0, 3, 4, 2, 1, 2, 2, 2, 2, 3, 4, 0, 2, 0, 2, 4, 2, 3, 1, 0, 2, 1, 3, 0, 4, 3, 0, 3, 3, 3, 4, 1, 0, 4, 2, 3, 3, 3, 4, 3, 3, 1, 2, 0, 2, 1, 3, 2, 1, 4, 4, 4] pubkeycol1536 = [3, 1, 2, 1, 2, 3, 4, 3, 3, 4, 1, 0, 2, 1, 0, 2, 1, 3, 4, 3, 0, 3, 0, 3, 4, 0, 2, 3, 2, 4, 2, 2, 1, 1, 4, 1, 3, 0, 2, 2, 4, 3, 1, 4, 4, 1, 3, 1, 0, 0, 0, 1, 0, 4, 2, 2, 1, 3, 2, 2, 3, 4, 1, 1, 2, 3, 1, 0, 3, 0, 1, 3, 4, 2, 4, 1, 3, 1, 0, 1, 1, 0, 4, 3, 3, 2, 2, 4, 3, 4, 4, 3, 2, 3, 0, 4, 2, 4, 4, 3, 1, 0, 4, 0, 2, 1, 0, 0, 0, 0, 2, 4, 2, 3, 1, 0, 3, 2, 0, 3, 4, 3, 0, 1, 3, 0, 4, 0, 1, 2, 3, 2, 2, 1, 3, 3, 3, 2, 0, 3, 3, 3, 2, 0, 0, 4, 0, 1, 3, 4, 1, 3, 4, 1, 3, 4, 2, 3, 2, 4, 4, 1, 3, 4, 1, 4, 4, 2, 2, 0, 0, 4, 1, 0, 3, 1, 1, 1, 1, 0, 4, 0, 4, 2, 0, 3, 1, 3, 0, 0, 2, 0, 4, 1, 4, 1, 2, 2, 2, 3, 4, 3, 2, 0, 4, 2, 1, 1, 4, 0, 1, 2, 0, 0, 3, 3, 2, 3, 4, 0, 3, 1, 3, 0, 4, 4, 1, 3, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 4, 3, 3, 4, 0, 4, 4, 4, 1, 3, 1, 2, 3, 0, 2, 1, 0, 2, 3, 0, 1, 4, 0, 1, 2, 4, 3, 0, 3, 0, 3, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 0, 1, 0, 3, 1, 2, 4, 0, 1, 4, 1, 4, 3, 0, 3, 1, 3, 4, 4, 2, 4, 2, 3, 1, 2, 1, 0, 4, 2, 4, 2, 2, 3, 2, 3, 0, 1, 3, 1, 3, 2, 4, 3, 4, 1, 0, 3, 4, 3, 4, 1, 4, 0, 0, 2, 4, 1, 3, 3, 2, 0, 4, 3, 2, 2, 2, 0, 0, 3, 1, 1, 2, 2, 2, 4, 1, 4, 0, 4, 4, 3, 1, 1, 0, 2, 2, 4, 4, 4, 2, 0, 2, 4, 2, 0, 4, 2, 2, 1, 4, 1, 0, 4, 1, 4, 1, 3, 3, 3, 2, 3, 4, 1, 3, 0, 4, 4, 4, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 4, 1, 2, 0, 0, 2, 3, 3, 4, 3, 1, 0, 1, 0, 0, 2, 0, 4, 3, 4, 3, 2, 3, 3, 2, 0, 2, 1, 3, 2, 2, 2, 1, 2, 4, 1, 2, 3, 1, 3, 2, 1, 3, 0, 2, 4, 4, 1, 3, 0, 2, 1, 0, 3, 0, 3, 2, 2, 4, 0, 1, 0, 3, 3, 3, 0] pubkeycol1537 = [1, 3, 4, 2, 4, 2, 4, 2, 3, 1, 3, 2, 1, 0, 3, 0, 1, 1, 2, 0, 4, 2, 4, 1, 4, 2, 2, 2, 2, 0, 4, 3, 3, 0, 2, 1, 1, 4, 4, 1, 2, 0, 3, 4, 1, 4, 2, 3, 1, 3, 3, 0, 1, 2, 2, 3, 1, 3, 4, 2, 1, 4, 4, 4, 1, 4, 3, 2, 2, 4, 1, 4, 2, 1, 2, 3, 1, 0, 2, 1, 4, 0, 1, 3, 2, 3, 3, 0, 3, 4, 4, 4, 1, 4, 2, 2, 4, 4, 0, 2, 0, 4, 1, 3, 1, 0, 4, 3, 3, 0, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 2, 4, 0, 0, 3, 2, 3, 4, 0, 1, 1, 2, 3, 4, 3, 1, 0, 3, 4, 2, 3, 1, 2, 3, 1, 2, 2, 3, 0, 1, 4, 1, 2, 0, 1, 3, 2, 2, 1, 1, 4, 4, 2, 0, 0, 1, 0, 1, 0, 1, 0, 4, 3, 2, 1, 4, 1, 2, 0, 1, 3, 1, 4, 1, 2, 0, 2, 4, 3, 2, 1, 4, 2, 2, 1, 3, 3, 3, 4, 2, 4, 0, 0, 2, 0, 1, 0, 1, 2, 2, 3, 2, 3, 1, 2, 4, 0, 2, 3, 0, 1, 4, 2, 0, 4, 2, 4, 4, 2, 1, 2, 1, 0, 0, 0, 1, 2, 4, 0, 2, 4, 2, 2, 2, 1, 4, 2, 3, 2, 1, 4, 4, 4, 0, 0, 3, 1, 1, 0, 4, 3, 2, 2, 1, 2, 0, 2, 4, 2, 1, 4, 4, 4, 0, 2, 1, 1, 0, 0, 2, 2, 3, 1, 3, 0, 1, 4, 3, 0, 4, 4, 3, 4, 0, 0, 4, 4, 3, 0, 4, 1, 1, 4, 1, 0, 0, 4, 1, 1, 0, 0, 0, 2, 3, 3, 3, 0, 1, 2, 1, 2, 2, 4, 4, 2, 3, 2, 4, 2, 3, 3, 1, 4, 0, 4, 3, 0, 3, 0, 4, 2, 0, 4, 4, 4, 3, 3, 2, 4, 1, 2, 3, 1, 4, 4, 4, 2, 0, 4, 3, 3, 4, 3, 4, 0, 2, 4, 0, 2, 3, 3, 2, 1, 1, 2, 1, 4, 3, 1, 0, 3, 2, 4, 0, 3, 4, 0, 0, 3, 3, 0, 0, 1, 3, 1, 3, 3, 4, 0, 2, 2, 4, 1, 2, 0, 3, 4, 4, 2, 4, 3, 2, 4, 2, 0, 0, 4, 2, 2, 4, 2, 4, 4, 3, 2, 3, 1, 1, 0, 4, 4, 1, 4, 2, 3, 0, 0, 3, 0, 3, 0, 3, 1, 2, 0, 0, 1, 3, 3, 3, 0, 4, 4, 1, 2, 3, 1, 0, 4, 2, 1, 2, 1, 0, 2, 4, 0, 0, 2, 4, 0, 0, 0, 3, 2, 1, 4, 1, 1, 1] pubkeycol1538 = [1, 0, 4, 4, 3, 1, 0, 0, 2, 2, 1, 4, 4, 3, 2, 4, 4, 3, 1, 1, 2, 2, 4, 0, 2, 2, 4, 2, 1, 4, 1, 0, 3, 0, 1, 2, 3, 1, 3, 0, 1, 0, 4, 1, 4, 4, 0, 3, 3, 4, 4, 3, 1, 2, 3, 3, 1, 4, 3, 4, 0, 0, 1, 0, 1, 1, 0, 1, 1, 4, 0, 2, 1, 1, 0, 4, 2, 3, 3, 0, 0, 1, 4, 2, 0, 3, 4, 3, 3, 1, 4, 3, 3, 4, 0, 4, 4, 2, 3, 2, 3, 1, 2, 2, 3, 4, 3, 2, 0, 2, 0, 3, 0, 0, 4, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 3, 0, 4, 4, 0, 4, 2, 1, 3, 1, 0, 4, 3, 2, 3, 0, 1, 3, 3, 1, 1, 1, 4, 0, 2, 4, 3, 3, 3, 2, 2, 1, 4, 2, 0, 3, 2, 2, 0, 0, 2, 3, 2, 1, 4, 1, 1, 4, 4, 4, 4, 4, 1, 3, 3, 1, 3, 4, 1, 1, 2, 1, 2, 4, 2, 4, 4, 2, 3, 2, 0, 4, 1, 3, 2, 3, 2, 4, 3, 1, 3, 1, 2, 4, 0, 3, 0, 0, 4, 2, 0, 3, 3, 1, 2, 2, 1, 2, 2, 2, 4, 2, 2, 0, 0, 1, 4, 0, 4, 1, 0, 1, 2, 1, 3, 3, 3, 1, 3, 2, 0, 4, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 4, 4, 1, 2, 0, 3, 2, 0, 4, 4, 4, 3, 0, 0, 2, 4, 1, 4, 3, 3, 3, 0, 0, 3, 2, 3, 0, 3, 1, 3, 1, 3, 0, 4, 3, 2, 0, 3, 4, 2, 0, 3, 0, 4, 4, 2, 3, 0, 4, 2, 3, 0, 0, 1, 3, 1, 1, 2, 4, 1, 3, 0, 0, 3, 0, 0, 1, 2, 0, 4, 2, 0, 4, 3, 0, 4, 1, 2, 1, 3, 3, 4, 0, 0, 3, 1, 1, 0, 3, 0, 3, 4, 0, 3, 2, 3, 3, 0, 4, 2, 0, 0, 2, 2, 4, 1, 2, 1, 1, 2, 1, 3, 4, 3, 1, 4, 4, 2, 3, 0, 1, 2, 2, 4, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 4, 4, 1, 1, 0, 1, 1, 1, 4, 2, 0, 3, 4, 1, 0, 1, 4, 3, 2, 2, 4, 1, 3, 3, 0, 1, 0, 3, 3, 2, 1, 4, 0, 0, 3, 3, 3, 4, 4, 4, 1, 1, 4, 4, 2, 1, 2, 0, 1, 3, 1, 3, 3, 3, 0, 2, 3, 0, 4, 0, 1, 2, 3, 0, 3, 3, 3, 0, 1, 2, 4, 2, 3, 1, 3, 2, 0, 4, 1, 3, 4] pubkeycol1539 = [1, 1, 4, 0, 1, 0, 4, 0, 0, 1, 2, 0, 2, 3, 3, 4, 1, 0, 1, 3, 3, 4, 4, 1, 4, 3, 4, 2, 4, 4, 0, 1, 4, 2, 0, 2, 0, 1, 0, 1, 3, 1, 0, 0, 1, 0, 4, 4, 0, 0, 1, 1, 1, 0, 1, 3, 2, 4, 3, 2, 4, 4, 2, 3, 0, 4, 4, 2, 2, 3, 3, 4, 3, 2, 4, 2, 3, 0, 4, 0, 1, 4, 4, 3, 3, 1, 1, 1, 3, 0, 4, 4, 1, 0, 2, 3, 1, 4, 0, 1, 0, 3, 0, 4, 4, 3, 0, 3, 2, 3, 1, 4, 0, 3, 4, 1, 4, 3, 0, 3, 2, 4, 2, 0, 2, 3, 2, 1, 3, 2, 2, 2, 3, 4, 3, 2, 1, 3, 3, 2, 4, 1, 3, 4, 0, 2, 2, 3, 0, 3, 1, 1, 0, 2, 2, 0, 4, 4, 3, 1, 1, 0, 4, 2, 4, 3, 2, 0, 0, 0, 2, 1, 2, 4, 1, 1, 3, 0, 2, 3, 1, 3, 4, 4, 4, 0, 1, 2, 3, 2, 4, 2, 3, 4, 2, 2, 0, 0, 0, 2, 2, 0, 0, 4, 2, 3, 4, 2, 2, 0, 0, 0, 2, 0, 4, 2, 0, 3, 3, 3, 1, 2, 4, 1, 0, 0, 4, 0, 2, 1, 3, 4, 1, 1, 3, 2, 1, 1, 3, 1, 2, 2, 2, 0, 3, 2, 4, 1, 3, 4, 0, 0, 0, 2, 2, 1, 0, 2, 2, 3, 0, 1, 1, 3, 2, 4, 2, 3, 3, 0, 4, 0, 2, 0, 2, 0, 0, 4, 2, 4, 3, 0, 2, 3, 2, 4, 1, 3, 3, 0, 3, 2, 2, 0, 4, 2, 1, 0, 4, 1, 0, 4, 3, 3, 0, 4, 4, 0, 0, 1, 2, 3, 0, 0, 0, 4, 3, 0, 2, 1, 2, 4, 3, 2, 4, 0, 2, 3, 1, 3, 4, 3, 0, 3, 4, 4, 4, 4, 2, 2, 1, 1, 4, 4, 1, 2, 3, 4, 4, 3, 4, 3, 3, 3, 3, 0, 4, 1, 4, 4, 1, 1, 0, 3, 1, 4, 0, 0, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 4, 0, 3, 3, 2, 3, 2, 2, 2, 2, 2, 4, 3, 0, 2, 4, 1, 2, 4, 0, 1, 4, 4, 3, 3, 3, 0, 4, 3, 3, 3, 3, 0, 1, 2, 2, 2, 1, 0, 2, 1, 4, 0, 2, 1, 3, 1, 2, 2, 4, 3, 2, 4, 4, 4, 1, 0, 1, 4, 0, 0, 2, 2, 0, 1, 2, 2, 1, 3, 4, 3, 3, 0, 3, 0, 3, 2, 1, 2, 0, 2, 3, 1, 4, 1, 3, 2, 2, 4, 2, 2, 1, 3, 2, 3, 0, 2, 0, 1, 2] pubkeycol1540 = [2, 2, 1, 3, 3, 3, 0, 0, 1, 3, 4, 1, 0, 2, 4, 3, 4, 2, 1, 0, 0, 2, 2, 2, 3, 2, 0, 4, 1, 1, 1, 4, 3, 0, 1, 2, 4, 2, 4, 4, 2, 4, 3, 0, 0, 2, 3, 4, 4, 3, 0, 0, 4, 2, 2, 3, 3, 4, 1, 1, 4, 0, 4, 1, 4, 1, 1, 1, 4, 0, 0, 2, 4, 2, 3, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 4, 1, 4, 1, 3, 0, 0, 3, 1, 4, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 4, 2, 4, 2, 4, 4, 1, 3, 0, 0, 0, 3, 1, 4, 2, 2, 2, 0, 1, 1, 4, 1, 3, 4, 4, 2, 3, 2, 3, 0, 1, 3, 0, 4, 1, 0, 1, 0, 2, 4, 0, 4, 3, 1, 3, 4, 3, 4, 3, 1, 0, 2, 1, 2, 4, 3, 1, 0, 0, 2, 0, 0, 4, 4, 3, 3, 3, 3, 2, 2, 2, 0, 0, 1, 4, 0, 3, 2, 4, 3, 0, 0, 0, 1, 2, 0, 4, 1, 2, 0, 4, 0, 3, 3, 4, 1, 4, 3, 0, 2, 0, 2, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 3, 2, 4, 0, 3, 0, 0, 4, 0, 0, 4, 3, 3, 4, 0, 0, 2, 2, 1, 3, 4, 2, 4, 2, 2, 4, 4, 1, 4, 0, 3, 2, 4, 0, 2, 1, 2, 2, 0, 1, 4, 1, 3, 2, 0, 0, 0, 3, 2, 0, 3, 0, 2, 2, 2, 0, 2, 1, 1, 4, 1, 3, 3, 2, 1, 0, 4, 0, 4, 1, 2, 3, 1, 2, 4, 4, 0, 4, 3, 2, 3, 2, 1, 1, 4, 4, 1, 2, 2, 1, 4, 0, 1, 0, 1, 2, 4, 2, 1, 1, 1, 4, 3, 4, 3, 0, 4, 3, 2, 4, 4, 2, 2, 0, 4, 0, 4, 3, 3, 0, 4, 4, 3, 1, 4, 1, 0, 3, 3, 3, 4, 1, 1, 1, 1, 2, 4, 4, 0, 1, 0, 1, 1, 2, 2, 1, 4, 4, 3, 0, 4, 4, 1, 3, 1, 0, 0, 4, 1, 2, 4, 1, 2, 1, 4, 3, 3, 4, 2, 0, 4, 4, 2, 1, 0, 3, 2, 4, 4, 0, 1, 2, 4, 2, 3, 4, 2, 4, 0, 1, 3, 4, 0, 2, 2, 3, 0, 2, 3, 2, 1, 2, 3, 1, 0, 2, 0, 4, 2, 0, 0, 3, 1, 2, 3, 0, 0, 3, 0, 3, 0, 0, 0, 2, 2, 4, 1, 0, 2, 1, 3, 2, 3, 3, 2, 1, 2, 0, 2, 2, 0, 3, 1, 3, 2, 0, 1, 4, 4] pubkeycol1541 = [0, 3, 3, 2, 0, 3, 2, 1, 0, 0, 1, 3, 2, 2, 3, 1, 4, 0, 4, 2, 4, 0, 4, 3, 4, 4, 3, 4, 4, 2, 4, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 4, 3, 4, 3, 0, 4, 1, 4, 0, 0, 3, 2, 4, 1, 2, 4, 4, 1, 2, 3, 3, 1, 1, 4, 1, 3, 0, 4, 0, 4, 0, 3, 4, 1, 1, 2, 0, 2, 2, 2, 4, 1, 1, 0, 1, 3, 3, 0, 0, 3, 1, 2, 3, 2, 0, 0, 2, 0, 4, 2, 0, 1, 1, 4, 4, 4, 1, 2, 3, 1, 2, 0, 4, 3, 4, 1, 1, 3, 0, 0, 2, 2, 3, 1, 3, 3, 4, 1, 1, 0, 2, 4, 0, 0, 1, 3, 3, 4, 3, 2, 3, 0, 3, 4, 3, 4, 2, 2, 3, 0, 4, 0, 0, 3, 3, 2, 4, 4, 0, 2, 4, 1, 0, 1, 4, 1, 2, 2, 0, 0, 4, 3, 0, 2, 4, 1, 3, 0, 0, 1, 0, 1, 2, 3, 2, 4, 3, 1, 2, 4, 3, 4, 2, 3, 3, 1, 4, 0, 4, 2, 0, 3, 1, 0, 1, 4, 1, 2, 4, 3, 4, 3, 3, 2, 4, 2, 0, 4, 3, 2, 3, 3, 1, 1, 1, 4, 2, 4, 2, 4, 2, 2, 2, 0, 1, 3, 0, 1, 0, 2, 1, 3, 3, 2, 1, 1, 4, 4, 4, 0, 4, 3, 1, 0, 0, 4, 2, 4, 1, 0, 0, 1, 1, 0, 3, 0, 0, 3, 1, 3, 2, 4, 3, 0, 4, 3, 0, 3, 2, 2, 4, 4, 3, 1, 0, 0, 4, 0, 4, 2, 3, 3, 0, 0, 2, 1, 4, 4, 1, 3, 1, 1, 0, 3, 3, 2, 1, 3, 4, 1, 4, 0, 0, 4, 3, 1, 1, 0, 3, 2, 4, 2, 4, 4, 4, 0, 0, 1, 1, 2, 3, 1, 2, 2, 0, 3, 1, 3, 3, 4, 2, 2, 1, 2, 3, 1, 4, 2, 0, 4, 4, 3, 3, 2, 3, 3, 0, 2, 0, 3, 0, 3, 2, 2, 1, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 3, 4, 0, 4, 0, 4, 4, 2, 3, 3, 2, 0, 0, 4, 1, 4, 0, 2, 1, 1, 1, 1, 3, 2, 0, 4, 3, 0, 3, 3, 4, 4, 4, 2, 2, 0, 2, 1, 4, 1, 4, 1, 4, 3, 3, 3, 4, 4, 4, 3, 0, 4, 2, 4, 4, 0, 0, 1, 3, 2, 3, 3, 4, 0, 3, 0, 3, 4, 2, 0, 0, 2, 0, 0, 1, 3, 1, 3, 3, 1, 3, 0, 0, 3, 1, 3, 2, 0, 1, 4, 4, 2, 4, 2, 3, 1] pubkeycol1542 = [0, 4, 4, 1, 0, 4, 4, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 4, 2, 0, 0, 1, 0, 0, 4, 2, 4, 0, 1, 1, 2, 0, 4, 2, 0, 2, 0, 3, 1, 4, 4, 0, 4, 4, 2, 2, 3, 1, 3, 3, 2, 1, 4, 0, 0, 1, 0, 0, 1, 1, 4, 2, 0, 0, 0, 4, 4, 3, 2, 4, 2, 4, 2, 2, 3, 3, 2, 3, 2, 3, 3, 0, 1, 3, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 3, 4, 3, 0, 1, 1, 3, 1, 2, 4, 1, 0, 2, 1, 2, 4, 1, 3, 0, 0, 4, 3, 0, 4, 3, 3, 4, 4, 2, 1, 2, 2, 0, 4, 4, 0, 2, 1, 0, 2, 4, 1, 1, 2, 3, 1, 1, 3, 4, 2, 1, 4, 4, 3, 3, 3, 3, 4, 1, 3, 0, 0, 4, 3, 1, 1, 2, 3, 1, 1, 2, 1, 2, 0, 3, 0, 3, 4, 0, 4, 1, 2, 2, 3, 1, 1, 0, 2, 4, 1, 2, 3, 0, 3, 0, 0, 0, 0, 1, 2, 0, 3, 2, 4, 3, 1, 0, 0, 4, 0, 2, 1, 4, 3, 1, 0, 0, 2, 4, 3, 1, 0, 1, 4, 1, 3, 3, 0, 1, 0, 1, 1, 0, 0, 3, 3, 0, 1, 0, 4, 3, 2, 4, 2, 2, 0, 3, 3, 3, 4, 3, 2, 2, 4, 2, 1, 2, 3, 3, 3, 4, 1, 1, 4, 1, 0, 3, 1, 3, 1, 3, 0, 1, 0, 1, 4, 3, 3, 1, 2, 0, 4, 0, 2, 3, 3, 3, 4, 4, 1, 2, 3, 4, 4, 2, 1, 3, 2, 0, 1, 2, 2, 1, 2, 2, 3, 4, 3, 0, 4, 0, 4, 0, 0, 4, 0, 4, 2, 0, 2, 0, 0, 4, 3, 2, 2, 0, 2, 3, 2, 0, 4, 2, 4, 1, 1, 4, 1, 1, 2, 1, 4, 2, 0, 0, 0, 4, 0, 3, 1, 1, 3, 3, 0, 3, 1, 2, 2, 1, 0, 1, 2, 4, 4, 0, 0, 1, 3, 2, 2, 3, 2, 4, 3, 4, 2, 2, 4, 2, 2, 4, 0, 3, 0, 1, 4, 0, 2, 0, 1, 4, 4, 1, 2, 3, 4, 3, 0, 4, 0, 2, 3, 1, 3, 3, 4, 2, 1, 4, 2, 0, 3, 4, 1, 0, 1, 3, 0, 0, 1, 0, 2, 2, 4, 2, 2, 0, 3, 1, 1, 0, 0, 4, 3, 2, 2, 3, 0, 3, 1, 1, 0, 1, 3, 0, 3, 1, 1, 0, 0, 1, 4, 1, 1, 0, 2, 1, 0, 3, 4, 4, 1, 4, 3, 3, 4, 4, 2, 3, 1, 1, 4, 4, 0, 3, 0, 4, 1, 4, 4, 4, 1, 0, 2, 3, 2] pubkeycol1543 = [1, 4, 0, 4, 0, 0, 0, 1, 1, 4, 3, 4, 2, 2, 2, 3, 4, 0, 2, 1, 0, 4, 0, 0, 3, 0, 1, 3, 2, 2, 3, 4, 3, 4, 0, 0, 2, 0, 2, 3, 1, 1, 0, 4, 3, 3, 3, 4, 3, 0, 2, 2, 1, 1, 4, 4, 3, 0, 2, 1, 4, 0, 3, 2, 2, 4, 3, 1, 4, 1, 3, 4, 0, 2, 4, 0, 0, 4, 1, 1, 2, 4, 3, 1, 1, 1, 3, 0, 0, 1, 2, 1, 0, 4, 2, 1, 2, 2, 0, 1, 2, 1, 1, 3, 0, 4, 1, 3, 3, 3, 0, 1, 0, 1, 3, 4, 0, 3, 1, 4, 0, 0, 3, 1, 1, 4, 1, 2, 4, 4, 0, 0, 4, 4, 2, 4, 2, 3, 4, 3, 3, 3, 0, 0, 1, 2, 1, 0, 1, 2, 3, 2, 1, 0, 1, 2, 4, 2, 1, 2, 4, 3, 1, 1, 3, 4, 2, 2, 1, 1, 0, 1, 3, 2, 3, 0, 4, 4, 1, 4, 4, 1, 0, 4, 2, 2, 2, 1, 2, 4, 3, 1, 1, 4, 2, 3, 1, 3, 1, 4, 1, 4, 0, 1, 2, 2, 0, 1, 2, 3, 3, 1, 2, 3, 2, 4, 3, 4, 1, 1, 2, 4, 1, 4, 1, 4, 1, 1, 2, 0, 2, 4, 1, 2, 2, 3, 0, 4, 4, 1, 3, 3, 0, 2, 0, 0, 4, 2, 4, 1, 4, 0, 3, 0, 4, 2, 3, 2, 4, 1, 1, 3, 0, 4, 2, 0, 0, 3, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 4, 4, 4, 1, 1, 4, 4, 4, 3, 0, 2, 3, 3, 1, 1, 2, 1, 4, 4, 4, 3, 2, 4, 3, 4, 2, 2, 4, 1, 2, 0, 1, 4, 4, 3, 0, 3, 1, 0, 3, 2, 1, 3, 0, 3, 4, 4, 0, 1, 3, 1, 0, 0, 0, 0, 3, 3, 3, 3, 0, 2, 1, 0, 0, 0, 4, 2, 1, 4, 2, 3, 1, 0, 4, 0, 0, 2, 4, 1, 1, 4, 4, 3, 1, 0, 4, 0, 2, 3, 0, 1, 0, 4, 2, 4, 2, 4, 0, 1, 3, 0, 4, 1, 3, 4, 0, 2, 2, 1, 2, 3, 3, 4, 4, 2, 3, 4, 4, 0, 1, 1, 1, 3, 4, 4, 2, 0, 2, 0, 0, 1, 3, 4, 3, 4, 0, 2, 0, 2, 2, 3, 3, 0, 4, 2, 4, 3, 0, 3, 1, 4, 1, 2, 3, 1, 0, 1, 4, 4, 1, 2, 3, 1, 1, 1, 4, 1, 1, 2, 2, 3, 1, 2, 0, 3, 4, 4, 1, 4, 4, 3, 4, 1, 2, 0, 0, 4, 4, 3, 2, 0, 2, 0, 4, 3, 2, 1, 4, 4, 1, 2, 3] pubkeycol1544 = [1, 1, 4, 4, 1, 2, 2, 3, 0, 1, 1, 3, 4, 1, 0, 2, 0, 2, 1, 0, 1, 3, 1, 4, 4, 1, 4, 3, 3, 4, 3, 2, 1, 1, 4, 3, 1, 4, 0, 3, 3, 1, 0, 4, 4, 4, 0, 2, 4, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 4, 2, 1, 2, 2, 3, 3, 1, 4, 0, 2, 3, 4, 2, 1, 3, 0, 0, 4, 2, 3, 3, 4, 3, 1, 4, 2, 1, 1, 2, 1, 3, 3, 1, 2, 2, 4, 0, 3, 4, 4, 0, 4, 3, 0, 4, 4, 2, 2, 3, 2, 3, 3, 2, 0, 1, 4, 0, 3, 1, 3, 4, 3, 4, 4, 3, 3, 2, 4, 4, 4, 1, 1, 0, 2, 4, 4, 3, 3, 4, 1, 3, 3, 2, 1, 0, 2, 2, 3, 1, 4, 2, 1, 2, 3, 3, 4, 0, 2, 0, 3, 1, 2, 2, 3, 0, 2, 3, 0, 4, 3, 0, 4, 3, 4, 4, 4, 4, 0, 2, 1, 4, 3, 0, 4, 3, 3, 4, 2, 2, 1, 0, 1, 1, 3, 4, 1, 3, 2, 0, 0, 2, 4, 3, 2, 1, 2, 4, 3, 0, 1, 0, 1, 0, 3, 2, 0, 4, 0, 3, 3, 0, 0, 3, 0, 0, 2, 1, 3, 2, 4, 1, 4, 2, 2, 1, 0, 4, 3, 2, 4, 1, 1, 1, 4, 1, 0, 3, 4, 3, 4, 0, 1, 3, 1, 1, 0, 3, 4, 3, 2, 2, 1, 2, 4, 3, 0, 1, 3, 3, 2, 4, 4, 1, 3, 3, 2, 3, 1, 3, 1, 4, 0, 4, 0, 1, 4, 0, 1, 1, 0, 1, 1, 2, 4, 0, 0, 0, 2, 1, 0, 3, 1, 4, 1, 4, 0, 1, 0, 4, 3, 2, 4, 1, 3, 1, 2, 3, 4, 3, 1, 4, 0, 4, 2, 1, 4, 0, 1, 3, 0, 3, 3, 4, 3, 3, 4, 1, 3, 4, 0, 4, 1, 0, 4, 0, 2, 1, 1, 0, 2, 3, 2, 2, 4, 3, 3, 1, 3, 3, 4, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 4, 2, 1, 2, 0, 1, 1, 2, 2, 3, 3, 0, 0, 2, 0, 4, 1, 3, 2, 1, 1, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 2, 2, 2, 3, 4, 2, 0, 3, 2, 4, 4, 2, 1, 3, 0, 4, 2, 3, 3, 4, 3, 0, 0, 2, 2, 0, 0, 0, 1, 3, 3, 4, 0, 1, 3, 0, 4, 4, 0, 1, 2, 1, 1, 2, 3, 4, 4, 3, 0, 3, 3, 1, 4, 3, 0, 4, 3, 4, 3, 2, 1, 2, 4, 1, 4, 3, 0, 4, 4, 0, 3, 1, 4, 1, 2, 2, 2, 3] pubkeycol1545 = [2, 0, 2, 3, 4, 3, 4, 4, 2, 2, 2, 1, 2, 2, 3, 3, 4, 3, 1, 1, 1, 2, 4, 1, 4, 3, 2, 2, 3, 3, 3, 1, 0, 3, 0, 4, 3, 2, 0, 1, 4, 1, 3, 2, 4, 4, 1, 1, 4, 1, 3, 4, 2, 0, 4, 1, 0, 0, 0, 4, 0, 2, 0, 0, 3, 1, 1, 2, 3, 4, 3, 1, 4, 4, 2, 3, 3, 2, 3, 0, 0, 1, 1, 4, 3, 0, 3, 4, 1, 2, 3, 3, 1, 2, 2, 1, 4, 3, 1, 0, 3, 1, 3, 0, 2, 1, 4, 0, 4, 4, 1, 4, 3, 2, 3, 1, 1, 1, 0, 0, 3, 4, 3, 3, 0, 0, 3, 1, 4, 2, 4, 1, 3, 1, 2, 0, 0, 0, 2, 0, 1, 3, 2, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 4, 4, 2, 3, 2, 2, 1, 0, 2, 2, 3, 3, 1, 1, 3, 2, 0, 3, 0, 0, 2, 2, 2, 2, 1, 4, 2, 4, 4, 1, 3, 2, 2, 4, 3, 0, 2, 1, 1, 1, 3, 0, 0, 0, 4, 0, 2, 4, 4, 3, 4, 0, 3, 4, 1, 0, 0, 3, 1, 4, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 3, 0, 1, 4, 3, 1, 0, 0, 3, 2, 0, 2, 3, 1, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 1, 3, 1, 1, 3, 0, 3, 1, 4, 0, 4, 1, 0, 0, 0, 2, 1, 1, 3, 3, 1, 0, 2, 3, 0, 1, 2, 2, 0, 0, 4, 4, 2, 4, 1, 4, 1, 2, 2, 3, 0, 3, 2, 3, 4, 0, 4, 4, 0, 0, 1, 4, 1, 3, 2, 4, 1, 3, 3, 1, 1, 2, 3, 1, 1, 1, 0, 0, 4, 0, 1, 4, 2, 1, 1, 3, 4, 0, 0, 1, 3, 3, 2, 1, 4, 0, 4, 4, 1, 0, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 2, 0, 1, 2, 4, 2, 3, 0, 0, 1, 4, 1, 0, 2, 2, 0, 3, 4, 1, 2, 4, 3, 0, 2, 2, 1, 1, 3, 3, 2, 2, 1, 2, 4, 0, 2, 1, 1, 3, 4, 4, 1, 2, 3, 2, 1, 0, 4, 4, 4, 3, 1, 2, 4, 2, 0, 1, 1, 0, 3, 2, 4, 4, 2, 3, 4, 4, 2, 3, 4, 3, 4, 1, 2, 1, 2, 4, 3, 2, 2, 2, 4, 1, 4, 2, 3, 0, 1, 2, 1, 4, 0, 1, 1, 4, 3, 0, 0, 4, 3, 1, 1, 1, 2, 0, 4, 4, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 3, 1, 1, 1, 4, 1, 4, 4, 1, 0, 2, 0, 0] pubkeycol1546 = [2, 4, 4, 2, 2, 0, 4, 1, 1, 2, 1, 3, 4, 1, 0, 1, 3, 1, 1, 3, 4, 1, 4, 3, 0, 0, 2, 2, 4, 0, 0, 0, 3, 3, 4, 0, 0, 1, 4, 4, 1, 1, 2, 3, 2, 1, 0, 3, 1, 3, 3, 3, 0, 2, 1, 1, 0, 2, 2, 1, 2, 4, 1, 4, 3, 1, 1, 3, 4, 2, 3, 2, 3, 2, 4, 2, 4, 0, 3, 4, 2, 1, 1, 2, 2, 4, 0, 0, 4, 0, 2, 1, 1, 2, 1, 4, 1, 3, 2, 4, 1, 3, 3, 1, 1, 4, 1, 1, 0, 2, 3, 3, 1, 0, 3, 2, 1, 2, 2, 0, 4, 4, 0, 2, 4, 3, 1, 2, 3, 3, 1, 0, 3, 1, 2, 3, 0, 4, 2, 3, 2, 1, 4, 3, 4, 3, 2, 2, 3, 1, 2, 1, 2, 2, 4, 3, 1, 4, 3, 0, 1, 3, 0, 3, 2, 2, 2, 1, 0, 3, 4, 4, 2, 0, 2, 0, 3, 0, 4, 1, 3, 3, 0, 1, 4, 1, 0, 0, 0, 1, 0, 4, 0, 2, 3, 1, 1, 3, 3, 2, 1, 2, 0, 1, 0, 3, 0, 0, 3, 1, 2, 1, 4, 2, 2, 2, 2, 3, 1, 4, 2, 2, 2, 1, 0, 0, 4, 3, 2, 3, 3, 4, 4, 2, 1, 1, 1, 4, 3, 4, 0, 4, 2, 3, 3, 0, 1, 2, 2, 0, 3, 0, 2, 4, 4, 4, 4, 1, 3, 1, 3, 2, 2, 0, 1, 0, 1, 4, 2, 0, 1, 0, 3, 4, 0, 4, 4, 1, 3, 2, 3, 4, 3, 3, 3, 2, 4, 0, 3, 1, 0, 3, 2, 0, 4, 0, 2, 2, 3, 4, 1, 2, 2, 3, 3, 3, 0, 4, 0, 4, 2, 2, 4, 4, 3, 1, 4, 1, 4, 0, 3, 2, 3, 1, 4, 0, 2, 2, 3, 1, 4, 0, 3, 1, 2, 4, 3, 0, 2, 4, 3, 2, 3, 3, 0, 0, 4, 1, 0, 2, 2, 4, 2, 3, 0, 3, 4, 0, 1, 3, 1, 4, 2, 1, 3, 2, 4, 1, 1, 4, 0, 1, 3, 3, 1, 3, 1, 4, 4, 3, 4, 0, 4, 1, 1, 1, 3, 1, 3, 1, 1, 3, 4, 1, 1, 1, 2, 2, 4, 4, 4, 1, 2, 4, 2, 0, 2, 0, 2, 3, 1, 4, 0, 1, 3, 1, 0, 2, 2, 3, 4, 4, 3, 4, 4, 3, 2, 3, 2, 0, 0, 0, 4, 1, 0, 2, 4, 2, 1, 2, 1, 4, 3, 3, 1, 4, 1, 2, 3, 0, 3, 3, 3, 2, 0, 2, 2, 0, 4, 2, 4, 4, 2, 0, 3, 1, 1, 1, 1, 4, 4, 4, 2, 0, 4, 1, 2, 1, 0, 2] pubkeycol1547 = [4, 0, 3, 4, 4, 0, 4, 2, 0, 4, 4, 2, 3, 4, 4, 4, 2, 3, 0, 2, 1, 0, 0, 2, 1, 0, 3, 4, 1, 1, 0, 1, 1, 2, 4, 0, 2, 3, 4, 4, 4, 4, 4, 0, 3, 4, 2, 0, 1, 0, 3, 0, 1, 0, 4, 2, 2, 1, 2, 0, 4, 4, 0, 2, 3, 3, 3, 2, 0, 1, 3, 4, 4, 0, 2, 1, 0, 1, 2, 0, 3, 3, 4, 3, 4, 2, 1, 1, 2, 0, 4, 0, 2, 1, 0, 0, 4, 1, 3, 3, 0, 1, 4, 4, 4, 1, 2, 1, 1, 2, 2, 0, 0, 2, 3, 3, 4, 2, 1, 3, 3, 0, 3, 2, 2, 1, 0, 0, 1, 4, 2, 3, 1, 0, 4, 4, 2, 1, 2, 1, 0, 1, 3, 1, 0, 1, 2, 3, 1, 3, 1, 2, 1, 4, 2, 4, 4, 3, 2, 3, 4, 1, 4, 0, 4, 4, 4, 2, 1, 1, 1, 4, 4, 3, 3, 4, 0, 2, 0, 0, 1, 0, 2, 3, 3, 4, 4, 4, 3, 2, 1, 2, 3, 0, 4, 3, 2, 0, 0, 2, 0, 4, 4, 4, 4, 3, 2, 4, 2, 0, 4, 0, 4, 3, 2, 0, 4, 1, 1, 4, 1, 4, 3, 4, 1, 2, 1, 4, 0, 4, 1, 1, 4, 4, 1, 4, 3, 2, 4, 3, 4, 1, 3, 3, 2, 4, 2, 0, 4, 0, 3, 3, 3, 2, 1, 1, 1, 4, 0, 0, 1, 3, 1, 1, 3, 3, 4, 2, 2, 3, 0, 1, 0, 3, 4, 4, 2, 3, 3, 2, 2, 3, 2, 4, 1, 2, 0, 1, 3, 4, 4, 4, 2, 1, 4, 0, 2, 1, 4, 3, 1, 1, 3, 3, 1, 0, 1, 3, 4, 2, 0, 1, 4, 4, 4, 3, 4, 2, 1, 3, 1, 3, 0, 2, 3, 0, 2, 1, 0, 2, 1, 4, 3, 3, 4, 0, 0, 2, 1, 1, 2, 2, 3, 2, 2, 2, 1, 4, 2, 0, 0, 2, 4, 3, 4, 4, 1, 4, 2, 2, 3, 2, 4, 4, 2, 3, 2, 2, 2, 0, 2, 0, 4, 4, 2, 4, 2, 0, 4, 4, 3, 2, 2, 0, 2, 4, 1, 2, 3, 0, 3, 2, 0, 3, 0, 3, 2, 4, 2, 4, 3, 4, 2, 4, 2, 4, 0, 3, 1, 0, 1, 0, 4, 4, 2, 2, 1, 0, 1, 4, 2, 1, 1, 4, 4, 2, 3, 2, 4, 2, 0, 0, 1, 3, 0, 3, 2, 1, 1, 2, 2, 4, 1, 1, 1, 2, 3, 0, 1, 3, 3, 1, 4, 3, 1, 0, 4, 1, 0, 4, 2, 4, 4, 2, 4, 3, 3, 2, 1, 3, 0, 0, 3, 0, 0, 3, 2, 4, 2, 1] pubkeycol1548 = [0, 1, 1, 2, 4, 1, 4, 3, 4, 3, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 3, 2, 2, 2, 1, 2, 1, 0, 4, 4, 4, 0, 0, 3, 1, 0, 3, 1, 4, 3, 3, 2, 0, 4, 4, 4, 4, 0, 2, 0, 4, 3, 2, 1, 3, 1, 1, 4, 4, 2, 3, 0, 3, 2, 2, 1, 1, 3, 2, 1, 1, 3, 2, 0, 1, 3, 0, 2, 0, 1, 2, 1, 3, 1, 0, 1, 4, 4, 0, 1, 2, 4, 3, 0, 0, 3, 2, 3, 1, 0, 3, 3, 0, 4, 3, 2, 2, 4, 4, 1, 2, 2, 3, 4, 3, 1, 0, 4, 1, 1, 1, 1, 1, 1, 3, 1, 1, 4, 0, 0, 1, 0, 1, 4, 4, 1, 2, 1, 4, 3, 4, 2, 2, 0, 1, 2, 2, 4, 1, 3, 1, 0, 2, 4, 2, 2, 4, 4, 1, 2, 4, 0, 0, 4, 2, 3, 1, 2, 4, 1, 1, 1, 3, 0, 1, 0, 4, 1, 3, 2, 4, 3, 1, 1, 4, 1, 1, 4, 2, 1, 4, 4, 1, 4, 3, 3, 3, 0, 3, 2, 3, 3, 4, 1, 1, 4, 4, 3, 2, 4, 1, 2, 3, 1, 4, 4, 1, 1, 4, 1, 1, 3, 3, 3, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 3, 3, 4, 4, 2, 0, 2, 2, 3, 0, 3, 2, 3, 1, 1, 0, 1, 3, 3, 1, 3, 4, 2, 0, 0, 2, 0, 1, 1, 4, 4, 3, 3, 1, 4, 2, 2, 2, 1, 4, 0, 3, 4, 0, 0, 0, 1, 3, 0, 4, 2, 1, 3, 2, 1, 3, 1, 1, 1, 4, 0, 4, 3, 2, 0, 0, 3, 4, 3, 3, 2, 2, 1, 4, 4, 3, 4, 3, 3, 4, 3, 4, 0, 0, 4, 3, 0, 1, 0, 4, 4, 4, 3, 4, 0, 0, 0, 3, 4, 0, 0, 4, 1, 0, 2, 3, 3, 1, 0, 4, 2, 4, 4, 0, 3, 4, 2, 0, 3, 4, 0, 0, 0, 3, 1, 0, 1, 0, 4, 3, 0, 0, 4, 3, 0, 1, 0, 3, 2, 1, 4, 1, 2, 1, 4, 1, 2, 2, 3, 0, 2, 1, 0, 0, 0, 4, 1, 1, 4, 1, 2, 3, 3, 3, 1, 2, 4, 4, 2, 0, 1, 0, 3, 3, 3, 2, 2, 2, 2, 4, 0, 1, 0, 2, 1, 3, 1, 3, 1, 3, 2, 3, 4, 0, 2, 2, 4, 1, 2, 2, 3, 0, 3, 4, 2, 1, 3, 4, 3, 0, 3, 2, 1, 0, 3, 3, 2, 2, 3, 0, 2, 3, 1, 2, 4, 1, 2, 1, 3, 1, 0, 3, 2, 0, 2, 3, 2, 0, 1, 0, 3, 2, 4, 4, 0] pubkeycol1549 = [4, 2, 0, 4, 1, 4, 0, 2, 2, 4, 2, 1, 2, 2, 4, 3, 4, 1, 2, 1, 0, 4, 0, 2, 4, 0, 2, 1, 4, 0, 4, 3, 1, 1, 0, 3, 0, 4, 4, 2, 3, 1, 1, 2, 0, 4, 1, 0, 2, 1, 3, 0, 3, 4, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 3, 2, 3, 2, 4, 0, 2, 4, 0, 1, 4, 2, 0, 4, 2, 2, 1, 4, 3, 3, 3, 0, 2, 3, 1, 3, 0, 0, 4, 4, 0, 1, 4, 1, 2, 3, 2, 3, 1, 3, 1, 1, 0, 4, 1, 4, 0, 2, 0, 0, 0, 0, 3, 4, 4, 2, 4, 0, 1, 1, 1, 3, 1, 3, 2, 1, 1, 3, 2, 1, 1, 2, 4, 2, 1, 2, 3, 0, 2, 3, 0, 4, 2, 0, 0, 1, 1, 1, 2, 2, 2, 4, 0, 1, 4, 4, 1, 4, 2, 4, 3, 1, 4, 1, 0, 0, 4, 4, 4, 2, 0, 0, 4, 1, 0, 0, 3, 0, 3, 3, 4, 2, 1, 1, 2, 0, 0, 3, 2, 0, 4, 1, 1, 4, 2, 2, 3, 2, 2, 2, 1, 1, 4, 3, 1, 0, 0, 4, 2, 3, 2, 2, 1, 3, 1, 4, 0, 4, 3, 1, 0, 4, 0, 0, 4, 4, 2, 2, 0, 2, 3, 3, 4, 3, 4, 0, 2, 1, 0, 2, 3, 4, 1, 3, 0, 1, 1, 0, 4, 3, 3, 3, 1, 2, 1, 1, 1, 2, 0, 4, 3, 2, 1, 2, 0, 1, 1, 3, 2, 3, 4, 1, 2, 2, 1, 4, 2, 2, 1, 0, 3, 0, 2, 1, 2, 2, 3, 4, 3, 4, 2, 3, 1, 2, 1, 0, 2, 4, 4, 2, 1, 4, 2, 2, 2, 2, 1, 3, 1, 2, 0, 3, 3, 3, 1, 2, 2, 4, 3, 1, 3, 0, 3, 4, 4, 4, 0, 3, 4, 2, 0, 4, 2, 2, 1, 1, 2, 2, 4, 4, 3, 1, 4, 2, 4, 2, 4, 4, 3, 0, 4, 3, 3, 0, 2, 4, 1, 0, 0, 2, 2, 0, 4, 1, 0, 1, 0, 0, 4, 4, 1, 4, 0, 0, 2, 2, 3, 3, 1, 2, 4, 4, 4, 0, 0, 3, 0, 2, 2, 1, 1, 2, 1, 4, 4, 3, 2, 0, 3, 3, 3, 3, 0, 3, 2, 0, 0, 1, 2, 1, 3, 4, 3, 2, 4, 2, 4, 3, 1, 4, 1, 2, 3, 0, 0, 4, 0, 2, 0, 3, 3, 2, 1, 4, 3, 0, 0, 1, 3, 2, 4, 3, 3, 1, 3, 0, 0, 0, 1, 4, 1, 0, 4, 0, 0, 1, 0, 1, 4, 1, 2, 0, 4, 4, 4, 3, 4, 1, 3, 4, 4, 3, 4, 0, 0, 2] pubkeycol1550 = [2, 2, 3, 0, 2, 2, 0, 2, 3, 3, 2, 2, 4, 4, 1, 0, 3, 0, 3, 1, 0, 4, 4, 4, 1, 0, 1, 4, 4, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 4, 4, 0, 1, 4, 2, 4, 3, 1, 0, 2, 0, 4, 4, 4, 3, 0, 4, 0, 2, 3, 2, 1, 1, 4, 0, 2, 3, 0, 4, 4, 3, 4, 2, 2, 3, 3, 1, 1, 0, 0, 3, 3, 0, 4, 1, 0, 3, 2, 4, 2, 4, 4, 0, 0, 4, 3, 0, 0, 3, 3, 4, 1, 2, 0, 3, 4, 1, 3, 4, 0, 4, 1, 4, 3, 4, 4, 4, 2, 3, 0, 4, 3, 4, 2, 1, 1, 1, 3, 2, 4, 1, 4, 2, 3, 1, 0, 4, 3, 0, 1, 4, 3, 2, 2, 4, 3, 2, 1, 2, 1, 0, 4, 4, 1, 3, 1, 2, 0, 4, 2, 1, 4, 4, 2, 4, 2, 3, 1, 4, 3, 2, 0, 2, 1, 0, 0, 2, 3, 4, 4, 1, 0, 1, 1, 1, 2, 4, 1, 1, 1, 3, 4, 2, 3, 4, 4, 1, 2, 4, 1, 1, 0, 2, 0, 3, 4, 4, 4, 3, 2, 2, 4, 1, 0, 2, 0, 1, 3, 3, 3, 1, 2, 0, 1, 0, 0, 1, 0, 4, 4, 0, 3, 0, 2, 0, 1, 2, 4, 4, 4, 3, 4, 0, 4, 0, 3, 0, 4, 2, 2, 0, 2, 0, 4, 3, 3, 4, 1, 0, 2, 1, 4, 2, 0, 1, 3, 2, 2, 0, 1, 0, 4, 3, 2, 2, 2, 2, 4, 2, 1, 3, 3, 2, 1, 0, 1, 3, 4, 0, 0, 3, 4, 2, 0, 4, 0, 0, 4, 2, 4, 1, 1, 2, 2, 2, 2, 4, 4, 4, 1, 3, 3, 2, 0, 1, 3, 0, 3, 2, 2, 3, 0, 4, 4, 0, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 1, 0, 2, 0, 2, 3, 2, 4, 0, 3, 0, 0, 0, 2, 0, 1, 3, 2, 1, 4, 2, 4, 0, 4, 3, 4, 1, 1, 1, 2, 0, 0, 2, 2, 3, 1, 1, 3, 4, 1, 0, 2, 3, 0, 3, 4, 1, 3, 3, 1, 4, 4, 3, 1, 1, 3, 0, 1, 1, 1, 4, 2, 1, 2, 3, 3, 2, 1, 1, 3, 3, 4, 1, 2, 3, 2, 2, 3, 3, 3, 0, 3, 3, 2, 0, 3, 4, 1, 3, 0, 2, 3, 2, 0, 1, 1, 3, 3, 3, 3, 0, 4, 1, 1, 2, 2, 2, 1, 3, 2, 4, 1, 0, 1, 1, 3, 2, 4, 0, 0, 4, 0, 2, 3, 2, 0, 4, 2, 3, 3, 1, 0, 0, 0, 0, 0, 2, 3, 0, 4, 4, 0, 1, 1, 4] pubkeycol1551 = [1, 3, 3, 4, 2, 3, 2, 4, 4, 0, 4, 2, 0, 0, 0, 2, 3, 4, 4, 0, 3, 3, 0, 0, 3, 4, 1, 1, 4, 1, 3, 3, 0, 1, 4, 3, 3, 3, 4, 4, 4, 4, 1, 0, 4, 2, 0, 0, 4, 1, 4, 3, 0, 4, 1, 2, 1, 0, 1, 0, 4, 0, 3, 2, 3, 3, 1, 3, 3, 2, 2, 4, 2, 3, 2, 0, 3, 2, 0, 4, 1, 4, 1, 4, 2, 3, 0, 1, 1, 1, 1, 1, 3, 1, 3, 2, 4, 4, 0, 1, 0, 4, 1, 4, 2, 0, 4, 1, 3, 4, 4, 3, 4, 2, 1, 3, 3, 1, 1, 2, 2, 4, 4, 2, 4, 4, 0, 2, 4, 0, 1, 2, 1, 0, 0, 2, 4, 0, 4, 3, 4, 0, 3, 1, 4, 0, 1, 4, 3, 3, 1, 0, 1, 4, 0, 3, 0, 3, 2, 2, 4, 4, 0, 4, 4, 1, 3, 2, 4, 1, 3, 3, 0, 2, 3, 1, 2, 2, 4, 2, 0, 4, 4, 0, 0, 0, 3, 4, 1, 4, 3, 1, 1, 2, 0, 3, 4, 0, 4, 1, 3, 3, 0, 1, 0, 3, 3, 2, 4, 4, 1, 0, 3, 2, 4, 0, 1, 4, 1, 4, 4, 0, 4, 0, 1, 1, 2, 4, 1, 2, 0, 1, 2, 0, 4, 4, 1, 1, 0, 3, 0, 3, 2, 3, 2, 4, 0, 1, 0, 0, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 0, 0, 2, 0, 1, 4, 1, 4, 4, 4, 2, 3, 3, 3, 0, 3, 4, 1, 3, 3, 1, 0, 4, 1, 4, 3, 2, 1, 1, 4, 0, 4, 4, 3, 1, 2, 2, 2, 1, 2, 3, 3, 3, 4, 3, 0, 2, 3, 1, 0, 3, 2, 0, 3, 2, 4, 4, 4, 2, 3, 1, 0, 4, 3, 0, 1, 0, 4, 1, 3, 2, 2, 1, 4, 3, 1, 0, 0, 4, 0, 2, 3, 4, 2, 4, 4, 0, 4, 3, 0, 1, 0, 1, 4, 3, 2, 3, 1, 3, 3, 1, 1, 1, 4, 1, 0, 1, 2, 3, 4, 2, 2, 0, 3, 2, 2, 2, 2, 4, 3, 4, 4, 3, 1, 2, 3, 4, 2, 0, 1, 4, 0, 0, 4, 0, 1, 2, 0, 0, 3, 4, 4, 3, 0, 3, 2, 0, 2, 2, 2, 0, 1, 4, 0, 0, 4, 3, 2, 0, 2, 4, 0, 4, 1, 1, 1, 3, 3, 2, 1, 0, 4, 3, 2, 2, 4, 3, 1, 4, 0, 0, 0, 3, 3, 3, 1, 1, 4, 0, 2, 0, 3, 0, 0, 4, 3, 4, 3, 3, 2, 1, 4, 3, 3, 0, 1, 3, 1, 2, 1, 4, 2, 2, 2, 0, 3, 2, 2, 4] pubkeycol1552 = [3, 3, 0, 3, 0, 4, 2, 4, 1, 3, 2, 2, 4, 3, 0, 3, 2, 1, 1, 0, 0, 3, 3, 3, 4, 1, 3, 0, 4, 3, 3, 3, 1, 4, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 4, 2, 3, 4, 3, 3, 4, 3, 0, 0, 2, 1, 3, 3, 4, 2, 4, 1, 0, 4, 1, 2, 4, 4, 4, 0, 3, 3, 0, 4, 0, 3, 1, 0, 1, 4, 0, 3, 1, 2, 4, 0, 0, 1, 4, 1, 4, 4, 0, 1, 2, 4, 1, 4, 0, 1, 0, 3, 3, 3, 3, 0, 1, 2, 0, 1, 3, 2, 0, 1, 4, 1, 0, 2, 1, 1, 4, 2, 3, 3, 4, 1, 1, 0, 2, 1, 4, 3, 0, 0, 0, 0, 1, 2, 0, 4, 2, 0, 1, 0, 2, 3, 2, 2, 2, 1, 1, 0, 3, 0, 3, 1, 0, 3, 1, 2, 1, 3, 2, 1, 4, 3, 4, 4, 1, 4, 0, 3, 2, 1, 2, 0, 1, 0, 3, 1, 2, 1, 3, 0, 2, 4, 0, 3, 4, 3, 4, 4, 2, 2, 2, 3, 4, 3, 1, 2, 0, 1, 4, 4, 4, 1, 1, 3, 1, 3, 4, 0, 0, 2, 0, 4, 4, 1, 0, 0, 0, 4, 2, 2, 0, 2, 0, 4, 4, 3, 4, 0, 4, 0, 0, 1, 0, 2, 3, 1, 3, 1, 4, 3, 3, 3, 0, 4, 0, 4, 2, 2, 3, 0, 2, 0, 0, 4, 3, 3, 2, 3, 3, 4, 3, 0, 2, 0, 4, 2, 4, 3, 0, 0, 1, 0, 3, 4, 3, 2, 3, 2, 2, 0, 0, 3, 3, 2, 3, 0, 2, 0, 4, 1, 1, 0, 4, 4, 3, 2, 3, 2, 4, 1, 4, 4, 4, 3, 2, 4, 4, 1, 2, 1, 1, 4, 2, 4, 2, 3, 3, 4, 4, 1, 3, 0, 0, 4, 0, 1, 1, 2, 3, 2, 2, 1, 0, 4, 4, 3, 4, 0, 0, 3, 3, 0, 0, 1, 1, 3, 2, 4, 4, 1, 4, 0, 2, 3, 2, 4, 4, 0, 1, 1, 4, 3, 1, 2, 2, 2, 1, 4, 4, 0, 1, 1, 3, 3, 1, 1, 2, 3, 3, 0, 0, 3, 3, 2, 1, 3, 3, 0, 2, 3, 1, 2, 3, 2, 4, 2, 4, 3, 0, 2, 2, 1, 1, 3, 0, 1, 4, 4, 1, 1, 2, 2, 2, 2, 3, 1, 0, 4, 1, 3, 3, 4, 2, 3, 4, 0, 2, 4, 2, 0, 0, 4, 3, 3, 2, 3, 2, 3, 4, 1, 4, 1, 2, 4, 1, 0, 0, 2, 2, 3, 4, 3, 3, 0, 0, 4, 2, 1, 4, 1, 4, 3, 2, 0, 1, 0, 3, 2, 1, 1, 1, 1, 1, 2, 3, 2] pubkeycol1553 = [1, 1, 1, 0, 4, 4, 0, 2, 0, 3, 4, 1, 3, 4, 3, 3, 2, 4, 4, 1, 2, 3, 1, 0, 3, 3, 4, 3, 3, 3, 0, 3, 4, 1, 2, 0, 2, 2, 0, 1, 1, 4, 0, 2, 1, 2, 3, 3, 3, 2, 3, 4, 1, 4, 0, 2, 0, 1, 3, 2, 3, 2, 0, 0, 1, 0, 3, 2, 4, 1, 2, 2, 0, 3, 2, 3, 3, 0, 3, 2, 2, 4, 1, 3, 0, 1, 4, 3, 3, 1, 1, 2, 4, 0, 4, 4, 0, 4, 4, 2, 4, 3, 2, 3, 4, 0, 3, 2, 4, 2, 1, 1, 4, 3, 2, 2, 2, 2, 1, 3, 1, 1, 2, 4, 4, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 2, 1, 4, 2, 1, 0, 3, 1, 3, 0, 2, 3, 2, 1, 2, 3, 4, 1, 0, 0, 2, 0, 3, 0, 1, 1, 2, 0, 0, 4, 3, 4, 2, 3, 4, 1, 0, 2, 1, 2, 4, 2, 3, 3, 3, 2, 4, 1, 1, 4, 4, 4, 1, 0, 3, 0, 4, 3, 1, 1, 4, 3, 0, 1, 4, 4, 2, 3, 2, 2, 4, 4, 3, 4, 4, 1, 2, 4, 0, 4, 4, 1, 0, 3, 1, 1, 0, 4, 0, 2, 3, 1, 2, 4, 1, 2, 3, 2, 1, 0, 1, 2, 2, 3, 3, 3, 1, 4, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 3, 1, 4, 0, 1, 4, 3, 0, 0, 3, 3, 1, 2, 0, 3, 1, 1, 2, 1, 3, 1, 1, 1, 1, 4, 4, 4, 2, 0, 4, 0, 0, 1, 4, 0, 0, 4, 2, 4, 3, 3, 0, 4, 2, 3, 4, 0, 1, 0, 0, 0, 1, 2, 2, 4, 3, 3, 2, 3, 0, 2, 1, 2, 4, 4, 2, 2, 4, 3, 1, 3, 2, 1, 2, 1, 0, 3, 3, 3, 2, 3, 1, 1, 4, 3, 4, 4, 0, 4, 4, 0, 1, 1, 0, 4, 3, 4, 3, 1, 2, 3, 2, 0, 0, 0, 2, 2, 3, 4, 1, 1, 3, 1, 4, 1, 1, 1, 1, 0, 4, 3, 1, 1, 4, 3, 4, 1, 0, 4, 1, 4, 4, 4, 1, 3, 3, 4, 3, 1, 0, 1, 1, 2, 4, 1, 3, 3, 1, 1, 0, 3, 2, 1, 1, 1, 4, 1, 3, 2, 4, 1, 1, 0, 0, 3, 1, 3, 4, 2, 3, 0, 0, 4, 1, 2, 0, 0, 3, 1, 4, 0, 4, 2, 4, 0, 2, 3, 1, 3, 0, 1, 0, 4, 0, 4, 0, 1, 2, 3, 1, 0, 2, 3, 4, 2, 4, 0, 1, 1, 3, 0, 4, 3, 4, 3, 1, 4, 1, 3, 0] pubkeycol1554 = [1, 2, 4, 2, 1, 1, 1, 2, 1, 3, 1, 0, 4, 4, 2, 1, 3, 2, 2, 0, 2, 0, 0, 4, 1, 4, 4, 1, 2, 3, 0, 3, 4, 2, 2, 0, 4, 3, 4, 4, 4, 3, 4, 4, 2, 1, 3, 2, 1, 4, 1, 2, 0, 3, 1, 3, 1, 4, 4, 2, 1, 0, 3, 4, 0, 4, 2, 0, 4, 4, 1, 0, 3, 4, 3, 2, 2, 4, 0, 2, 2, 3, 0, 1, 2, 4, 1, 0, 3, 0, 4, 3, 2, 0, 4, 2, 2, 4, 0, 1, 3, 1, 3, 1, 2, 1, 3, 3, 0, 4, 0, 4, 0, 2, 2, 2, 4, 3, 3, 2, 0, 4, 2, 2, 4, 3, 2, 3, 4, 0, 1, 3, 2, 3, 1, 4, 0, 2, 2, 2, 4, 0, 1, 2, 1, 0, 2, 3, 4, 3, 1, 2, 1, 2, 1, 1, 4, 1, 1, 2, 2, 1, 0, 3, 3, 4, 0, 2, 2, 4, 2, 3, 4, 1, 2, 1, 0, 0, 4, 4, 4, 4, 2, 0, 4, 3, 1, 3, 2, 4, 0, 4, 4, 2, 0, 3, 4, 3, 0, 3, 2, 1, 0, 0, 3, 4, 2, 1, 3, 0, 1, 3, 1, 0, 1, 4, 2, 4, 0, 1, 3, 0, 4, 3, 4, 3, 0, 0, 2, 4, 3, 2, 4, 4, 3, 1, 0, 0, 3, 3, 2, 0, 2, 0, 3, 0, 2, 4, 3, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 3, 4, 0, 4, 0, 1, 0, 0, 4, 1, 4, 3, 2, 2, 2, 1, 3, 3, 3, 3, 1, 0, 4, 4, 2, 2, 2, 4, 0, 0, 2, 1, 1, 0, 4, 1, 2, 1, 0, 2, 0, 2, 4, 2, 4, 2, 2, 4, 4, 3, 3, 3, 2, 3, 4, 4, 0, 1, 0, 0, 3, 4, 3, 1, 4, 2, 1, 0, 0, 1, 1, 4, 2, 4, 3, 3, 2, 3, 2, 3, 4, 3, 1, 3, 2, 0, 2, 4, 3, 4, 0, 2, 3, 4, 4, 0, 2, 1, 0, 0, 1, 4, 2, 3, 1, 3, 4, 2, 1, 3, 4, 2, 2, 2, 0, 3, 0, 1, 2, 3, 1, 0, 1, 3, 0, 0, 2, 1, 4, 1, 4, 0, 3, 3, 0, 2, 4, 0, 2, 4, 0, 3, 1, 3, 0, 1, 3, 1, 1, 3, 2, 0, 0, 0, 0, 1, 3, 4, 0, 2, 0, 3, 3, 2, 1, 1, 1, 4, 3, 0, 3, 1, 0, 1, 0, 1, 4, 1, 2, 3, 4, 0, 0, 0, 3, 2, 2, 3, 2, 4, 3, 0, 0, 0, 4, 3, 1, 3, 2, 3, 1, 1, 0, 4, 1, 3, 3, 1, 0, 1, 3, 0, 0, 4, 0, 2, 0, 4, 4, 3, 0] pubkeycol1555 = [4, 4, 1, 4, 1, 2, 0, 4, 0, 3, 4, 3, 2, 2, 3, 3, 0, 0, 3, 1, 1, 1, 4, 1, 2, 2, 0, 3, 0, 4, 1, 0, 0, 4, 3, 0, 1, 2, 0, 2, 0, 3, 4, 3, 4, 1, 1, 3, 0, 1, 3, 4, 1, 3, 2, 2, 3, 4, 1, 4, 2, 3, 3, 1, 1, 3, 0, 4, 3, 2, 0, 3, 2, 2, 2, 2, 3, 0, 2, 1, 0, 2, 2, 3, 3, 0, 4, 1, 4, 4, 4, 0, 4, 2, 1, 0, 0, 4, 1, 2, 2, 3, 4, 3, 4, 1, 3, 4, 4, 2, 4, 3, 4, 1, 0, 2, 1, 0, 0, 0, 4, 1, 3, 0, 1, 0, 4, 2, 0, 3, 4, 3, 2, 2, 0, 2, 4, 1, 4, 4, 2, 0, 3, 3, 3, 4, 1, 3, 1, 4, 2, 0, 1, 1, 4, 2, 4, 4, 0, 0, 0, 4, 4, 3, 1, 4, 0, 3, 2, 0, 1, 4, 0, 3, 4, 1, 0, 2, 4, 3, 0, 0, 2, 0, 4, 2, 1, 1, 1, 2, 4, 4, 1, 1, 3, 1, 0, 1, 1, 3, 4, 1, 4, 2, 0, 2, 4, 3, 2, 3, 2, 2, 4, 0, 4, 2, 3, 3, 1, 1, 2, 1, 4, 2, 2, 3, 0, 2, 3, 1, 0, 2, 2, 2, 1, 1, 1, 3, 4, 3, 2, 4, 0, 2, 4, 2, 1, 0, 4, 0, 0, 3, 4, 4, 3, 1, 4, 0, 2, 2, 3, 1, 1, 1, 3, 4, 1, 0, 4, 0, 1, 3, 0, 2, 4, 0, 0, 3, 0, 0, 1, 0, 0, 3, 4, 0, 4, 0, 4, 0, 1, 3, 0, 3, 2, 4, 4, 1, 3, 2, 0, 2, 2, 1, 0, 1, 1, 0, 4, 0, 2, 4, 4, 1, 1, 3, 4, 4, 4, 3, 4, 4, 4, 0, 1, 1, 3, 0, 1, 1, 1, 3, 0, 1, 3, 0, 4, 4, 4, 0, 2, 4, 3, 1, 0, 0, 1, 0, 2, 1, 0, 3, 3, 0, 2, 2, 4, 0, 3, 4, 0, 1, 3, 4, 4, 2, 2, 4, 2, 0, 1, 3, 3, 4, 0, 3, 4, 4, 2, 3, 4, 4, 3, 0, 3, 2, 0, 1, 4, 4, 1, 4, 0, 4, 4, 2, 0, 1, 3, 0, 1, 3, 4, 1, 2, 3, 3, 2, 1, 3, 3, 3, 4, 3, 0, 4, 4, 2, 1, 2, 0, 2, 4, 4, 2, 2, 4, 2, 0, 2, 1, 0, 4, 2, 4, 2, 3, 4, 1, 0, 0, 3, 1, 0, 3, 1, 1, 2, 0, 3, 0, 4, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 4, 2, 3, 2, 4, 0, 1, 3, 4, 1, 2, 2, 1, 0, 2, 0, 2, 4] pubkeycol1556 = [4, 1, 1, 0, 0, 1, 0, 0, 1, 2, 3, 3, 4, 2, 1, 2, 4, 1, 3, 4, 3, 2, 4, 4, 2, 2, 2, 4, 4, 4, 1, 2, 1, 3, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 4, 4, 2, 2, 4, 3, 2, 0, 0, 1, 4, 1, 4, 0, 3, 0, 3, 4, 1, 4, 3, 4, 0, 1, 2, 3, 4, 2, 0, 0, 1, 0, 2, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 0, 4, 3, 1, 0, 3, 0, 4, 4, 0, 2, 0, 4, 4, 2, 4, 4, 1, 4, 4, 1, 1, 4, 0, 2, 4, 4, 3, 4, 0, 1, 0, 4, 3, 4, 3, 4, 1, 3, 1, 4, 0, 1, 1, 4, 3, 4, 0, 0, 0, 1, 2, 3, 4, 0, 2, 0, 3, 2, 1, 1, 3, 4, 0, 4, 3, 4, 2, 3, 4, 3, 3, 4, 2, 4, 4, 4, 0, 3, 1, 4, 4, 3, 2, 2, 1, 3, 4, 2, 4, 3, 3, 0, 0, 2, 3, 1, 1, 1, 1, 2, 2, 0, 3, 4, 3, 3, 4, 3, 0, 0, 3, 0, 3, 0, 3, 3, 2, 1, 0, 1, 2, 0, 0, 4, 1, 4, 0, 1, 3, 0, 2, 3, 4, 1, 0, 2, 2, 4, 1, 0, 2, 2, 4, 0, 3, 4, 1, 3, 1, 0, 0, 0, 3, 1, 1, 4, 2, 1, 1, 2, 0, 0, 2, 4, 0, 1, 1, 0, 1, 1, 0, 3, 4, 0, 2, 0, 2, 1, 0, 1, 0, 3, 0, 0, 2, 4, 1, 3, 0, 2, 3, 0, 2, 1, 1, 0, 2, 2, 1, 4, 4, 2, 1, 3, 1, 1, 0, 1, 2, 0, 2, 0, 4, 2, 3, 0, 2, 0, 4, 4, 2, 1, 2, 0, 0, 1, 4, 2, 3, 3, 0, 1, 1, 4, 1, 4, 0, 3, 3, 0, 1, 2, 1, 3, 1, 3, 2, 4, 2, 2, 4, 2, 4, 1, 2, 4, 4, 2, 4, 4, 4, 1, 1, 1, 3, 0, 4, 1, 0, 0, 1, 2, 4, 0, 0, 2, 2, 4, 0, 1, 2, 0, 2, 0, 3, 3, 3, 1, 2, 4, 2, 1, 1, 0, 2, 3, 4, 2, 0, 3, 0, 1, 2, 2, 2, 3, 0, 4, 3, 3, 3, 4, 0, 4, 0, 3, 3, 2, 0, 3, 3, 1, 2, 1, 4, 0, 4, 2, 4, 0, 4, 2, 1, 1, 3, 2, 1, 4, 0, 3, 1, 2, 0, 3, 4, 2, 3, 0, 1, 1, 3, 3, 4, 1, 3, 3, 2, 0, 3, 0, 0, 0, 2, 4, 2, 2, 2, 1, 4, 0, 0, 4, 0, 4, 1, 4, 3, 2, 3, 1, 4, 2, 4, 2, 0, 1, 2, 4, 2, 2, 1, 3] pubkeycol1557 = [2, 4, 4, 4, 4, 0, 3, 0, 1, 3, 0, 1, 2, 4, 4, 0, 3, 0, 0, 0, 4, 1, 1, 3, 1, 1, 3, 4, 4, 1, 0, 0, 2, 2, 4, 0, 4, 4, 2, 3, 4, 0, 0, 0, 4, 4, 2, 1, 0, 2, 4, 1, 1, 0, 4, 2, 3, 4, 2, 3, 3, 3, 1, 0, 1, 2, 3, 1, 3, 1, 4, 2, 0, 3, 4, 3, 1, 4, 0, 0, 1, 3, 4, 3, 3, 1, 2, 3, 3, 4, 0, 2, 0, 0, 3, 4, 4, 3, 1, 4, 0, 2, 2, 4, 2, 3, 0, 1, 3, 3, 4, 0, 0, 4, 2, 4, 4, 2, 0, 2, 2, 4, 2, 0, 2, 2, 3, 1, 3, 4, 3, 0, 0, 3, 2, 3, 4, 4, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 3, 4, 2, 1, 2, 0, 0, 1, 0, 2, 0, 3, 3, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 4, 2, 1, 3, 0, 1, 0, 1, 2, 0, 2, 0, 1, 3, 3, 2, 0, 0, 1, 2, 0, 2, 3, 0, 1, 1, 4, 2, 1, 1, 3, 3, 0, 3, 2, 0, 0, 0, 3, 4, 1, 4, 2, 1, 0, 4, 1, 4, 1, 0, 4, 3, 2, 4, 3, 0, 1, 0, 3, 1, 4, 3, 3, 2, 1, 2, 2, 0, 0, 1, 4, 4, 1, 1, 2, 3, 3, 2, 0, 0, 2, 4, 1, 4, 3, 0, 0, 1, 3, 3, 0, 2, 3, 2, 0, 2, 0, 0, 4, 4, 3, 0, 4, 4, 4, 1, 4, 4, 2, 3, 0, 0, 1, 0, 0, 4, 0, 2, 2, 1, 0, 2, 0, 0, 4, 3, 3, 3, 0, 1, 1, 1, 4, 2, 4, 3, 0, 0, 4, 3, 2, 4, 2, 2, 1, 1, 0, 1, 1, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 0, 0, 0, 0, 2, 3, 4, 3, 0, 1, 4, 0, 2, 3, 0, 1, 1, 4, 4, 0, 3, 0, 4, 0, 4, 1, 4, 4, 2, 0, 1, 1, 0, 4, 3, 4, 4, 0, 2, 4, 2, 0, 3, 2, 3, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 3, 1, 3, 0, 0, 4, 1, 0, 0, 1, 1, 0, 4, 4, 0, 2, 4, 0, 3, 1, 0, 1, 1, 0, 1, 3, 2, 4, 2, 0, 3, 1, 4, 2, 0, 1, 1, 0, 3, 3, 0, 4, 0, 2, 0, 2, 2, 0, 4, 1, 2, 2, 4, 3, 3, 0, 3, 4, 4, 0, 4, 4, 1, 3, 0, 3, 3, 4, 2, 4, 1, 4, 1, 0, 0, 1, 4, 4, 0, 1, 4, 1, 1, 0, 4, 2, 1, 2, 1, 1, 2, 1, 2] pubkeycol1558 = [3, 3, 1, 4, 3, 1, 4, 0, 3, 2, 1, 1, 0, 1, 3, 0, 1, 3, 1, 3, 1, 3, 2, 0, 3, 1, 4, 3, 1, 0, 0, 4, 2, 1, 1, 3, 2, 4, 4, 3, 0, 0, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 4, 0, 1, 4, 4, 3, 1, 0, 4, 1, 4, 2, 4, 3, 4, 3, 3, 0, 2, 2, 0, 4, 2, 3, 1, 2, 0, 0, 0, 4, 0, 1, 1, 4, 3, 4, 1, 4, 1, 2, 0, 2, 2, 0, 4, 4, 0, 4, 0, 2, 1, 3, 3, 3, 0, 1, 3, 1, 3, 2, 2, 4, 4, 4, 2, 1, 2, 3, 1, 0, 2, 2, 4, 4, 0, 0, 0, 3, 0, 3, 4, 1, 2, 3, 0, 4, 4, 4, 0, 4, 1, 4, 1, 2, 4, 0, 4, 4, 4, 3, 0, 2, 1, 0, 1, 4, 1, 2, 0, 0, 4, 3, 1, 3, 1, 0, 4, 0, 3, 4, 4, 4, 0, 0, 3, 0, 2, 4, 4, 4, 0, 2, 0, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 4, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 3, 3, 1, 0, 4, 0, 0, 0, 3, 4, 3, 0, 4, 1, 1, 2, 2, 2, 4, 4, 1, 3, 4, 0, 2, 0, 3, 3, 3, 0, 1, 2, 1, 2, 3, 1, 1, 2, 4, 2, 0, 1, 0, 3, 4, 1, 2, 0, 0, 3, 4, 2, 2, 0, 4, 1, 3, 2, 1, 3, 1, 1, 0, 3, 2, 3, 2, 0, 1, 0, 4, 1, 3, 1, 2, 0, 1, 0, 1, 3, 4, 3, 0, 0, 1, 4, 4, 4, 4, 0, 2, 4, 2, 4, 3, 0, 2, 2, 0, 1, 1, 4, 3, 3, 4, 0, 3, 0, 1, 3, 2, 4, 4, 3, 1, 3, 3, 1, 4, 1, 4, 0, 1, 1, 3, 3, 2, 1, 4, 1, 4, 0, 2, 4, 4, 2, 2, 4, 1, 3, 2, 0, 2, 2, 3, 3, 3, 4, 0, 2, 2, 0, 3, 4, 3, 2, 3, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 2, 3, 4, 4, 3, 2, 3, 2, 2, 4, 3, 0, 4, 3, 3, 3, 2, 3, 0, 0, 4, 2, 3, 1, 4, 1, 0, 0, 3, 1, 1, 0, 2, 0, 1, 3, 3, 1, 0, 3, 0, 4, 0, 3, 0, 0, 4, 0, 2, 3, 3, 4, 0, 1, 2, 4, 1, 0, 2, 4, 3, 2, 1, 3, 1, 2, 4, 1, 4, 3, 4, 1, 2, 0, 0, 2, 2, 0, 1, 4, 2, 1, 0, 4, 1, 2, 3, 1, 0, 2, 1, 2, 3, 4, 2, 2, 2, 2, 2, 1, 3, 0, 1, 0, 3] pubkeycol1559 = [2, 4, 2, 1, 2, 2, 2, 3, 3, 4, 0, 4, 3, 3, 4, 3, 0, 1, 1, 2, 4, 2, 4, 1, 0, 4, 1, 0, 3, 0, 2, 3, 1, 3, 3, 0, 2, 3, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 4, 1, 2, 4, 1, 4, 4, 4, 0, 0, 2, 2, 3, 2, 1, 4, 3, 4, 3, 0, 4, 2, 0, 0, 2, 1, 0, 3, 3, 2, 1, 3, 4, 1, 0, 1, 3, 0, 3, 1, 0, 1, 1, 2, 2, 3, 3, 1, 2, 2, 4, 4, 4, 4, 0, 1, 4, 1, 2, 2, 2, 2, 4, 0, 3, 4, 0, 2, 2, 4, 2, 3, 1, 1, 4, 2, 3, 3, 3, 1, 2, 4, 2, 0, 3, 4, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 4, 2, 3, 2, 0, 4, 0, 0, 0, 4, 1, 2, 0, 4, 3, 3, 3, 1, 4, 2, 2, 0, 1, 0, 2, 4, 2, 4, 4, 4, 0, 1, 0, 0, 4, 2, 0, 4, 3, 3, 3, 1, 2, 0, 0, 4, 3, 4, 3, 2, 1, 0, 0, 1, 2, 3, 0, 3, 1, 1, 4, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 3, 4, 2, 0, 3, 1, 3, 4, 4, 1, 4, 4, 4, 2, 4, 2, 4, 4, 1, 1, 2, 0, 0, 1, 4, 2, 1, 2, 1, 1, 4, 0, 1, 2, 0, 4, 1, 4, 0, 0, 1, 1, 2, 4, 1, 2, 1, 4, 0, 1, 2, 1, 3, 4, 4, 2, 3, 3, 3, 1, 2, 2, 0, 3, 0, 4, 2, 1, 4, 0, 4, 4, 3, 2, 0, 1, 1, 0, 3, 4, 0, 1, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 0, 2, 0, 1, 0, 3, 2, 1, 1, 3, 1, 2, 2, 1, 0, 3, 2, 1, 2, 3, 4, 2, 4, 4, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 4, 1, 2, 2, 2, 2, 0, 0, 4, 4, 4, 4, 2, 3, 3, 0, 4, 1, 0, 0, 2, 1, 1, 2, 3, 0, 1, 0, 3, 4, 0, 0, 2, 4, 3, 1, 4, 4, 2, 0, 2, 3, 3, 3, 1, 0, 3, 3, 1, 2, 3, 1, 0, 4, 4, 1, 3, 1, 3, 4, 1, 4, 4, 1, 2, 1, 3, 2, 0, 3, 3, 3, 0, 4, 4, 4, 2, 2, 2, 2, 0, 2, 1, 3, 1, 3, 1, 3, 2, 2, 3, 3, 3, 1, 1, 2, 3, 2, 4, 2, 3, 2, 2, 3, 2, 0, 3, 1, 3, 4, 2, 4, 3, 4, 2, 1, 0, 0, 2, 1, 1, 2, 4, 4, 2, 1, 3, 2, 0, 2] pubkeycol1560 = [2, 0, 1, 4, 0, 4, 0, 2, 2, 3, 2, 2, 0, 3, 1, 4, 0, 0, 2, 4, 4, 1, 1, 2, 3, 0, 2, 4, 4, 3, 3, 0, 2, 4, 0, 3, 2, 0, 4, 0, 2, 0, 2, 2, 0, 0, 3, 2, 1, 1, 1, 4, 4, 0, 0, 4, 1, 2, 1, 3, 2, 2, 2, 2, 4, 2, 4, 1, 0, 0, 0, 4, 4, 3, 3, 1, 2, 2, 3, 2, 4, 2, 2, 3, 3, 3, 2, 1, 4, 3, 0, 1, 4, 1, 0, 2, 2, 2, 3, 2, 0, 2, 3, 4, 2, 4, 0, 1, 4, 2, 3, 4, 4, 2, 2, 1, 4, 2, 4, 3, 0, 0, 4, 0, 3, 4, 0, 1, 1, 3, 2, 4, 4, 2, 3, 2, 3, 0, 0, 4, 1, 1, 3, 2, 4, 4, 0, 4, 3, 4, 0, 4, 0, 0, 4, 3, 1, 0, 0, 1, 2, 3, 0, 0, 2, 4, 1, 0, 0, 2, 1, 3, 4, 3, 1, 3, 3, 4, 0, 0, 2, 0, 2, 4, 4, 1, 1, 0, 0, 1, 4, 2, 3, 1, 3, 4, 2, 2, 4, 4, 1, 4, 4, 0, 2, 2, 1, 4, 1, 0, 2, 4, 3, 0, 3, 3, 3, 0, 1, 1, 1, 3, 1, 1, 0, 3, 2, 0, 2, 3, 0, 4, 3, 3, 4, 0, 1, 2, 2, 2, 1, 3, 3, 3, 2, 0, 3, 2, 3, 4, 3, 1, 0, 3, 3, 1, 2, 3, 3, 4, 4, 2, 3, 3, 1, 4, 1, 0, 1, 4, 2, 3, 3, 1, 4, 2, 2, 2, 3, 4, 1, 0, 4, 3, 4, 1, 0, 1, 1, 2, 2, 1, 3, 2, 2, 4, 1, 2, 0, 0, 1, 1, 4, 1, 3, 4, 0, 3, 2, 2, 2, 1, 1, 4, 4, 3, 2, 0, 2, 3, 2, 2, 0, 3, 1, 1, 0, 1, 3, 3, 0, 3, 3, 3, 3, 2, 4, 1, 2, 1, 1, 4, 0, 0, 2, 4, 4, 3, 2, 0, 2, 2, 3, 3, 0, 1, 4, 4, 3, 3, 0, 1, 1, 0, 2, 2, 3, 3, 3, 4, 4, 2, 1, 2, 3, 3, 3, 4, 2, 4, 0, 4, 1, 4, 1, 4, 2, 2, 3, 4, 4, 4, 1, 4, 2, 0, 1, 1, 1, 0, 4, 3, 0, 3, 4, 3, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 0, 1, 1, 3, 4, 4, 3, 0, 3, 1, 1, 0, 2, 3, 0, 1, 4, 4, 3, 4, 3, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 4, 2, 1, 3, 1, 2, 2, 2, 4, 1, 3, 4, 2, 3, 2, 2, 1, 1, 4, 0, 1, 1, 4, 4, 0, 3, 2, 0, 2, 4, 1, 3, 3] pubkeycol1561 = [1, 2, 3, 4, 1, 2, 4, 2, 4, 3, 2, 2, 0, 4, 4, 1, 0, 2, 3, 4, 0, 4, 1, 0, 1, 4, 4, 0, 4, 3, 1, 4, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 1, 4, 3, 2, 3, 1, 3, 3, 2, 3, 0, 4, 2, 4, 1, 4, 3, 4, 1, 4, 1, 1, 1, 2, 3, 0, 1, 2, 1, 4, 4, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 3, 1, 4, 4, 1, 3, 0, 0, 3, 4, 4, 3, 3, 4, 3, 1, 1, 2, 4, 1, 4, 0, 4, 3, 1, 2, 0, 4, 3, 2, 4, 2, 0, 4, 0, 2, 4, 3, 0, 1, 3, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 3, 2, 0, 0, 2, 4, 0, 4, 4, 1, 1, 2, 2, 0, 1, 2, 1, 3, 2, 2, 0, 1, 1, 0, 4, 4, 1, 2, 0, 1, 3, 0, 0, 3, 2, 4, 1, 0, 3, 0, 1, 1, 1, 2, 1, 4, 0, 0, 4, 1, 2, 2, 1, 2, 2, 3, 3, 0, 4, 0, 2, 3, 4, 4, 1, 0, 4, 0, 4, 1, 4, 4, 2, 3, 1, 1, 3, 2, 0, 1, 2, 1, 4, 4, 4, 1, 1, 1, 0, 4, 0, 1, 2, 4, 0, 1, 4, 0, 3, 4, 1, 4, 0, 4, 1, 4, 1, 2, 4, 4, 4, 2, 0, 3, 4, 1, 4, 0, 0, 2, 1, 2, 1, 1, 3, 4, 4, 2, 0, 3, 1, 2, 0, 4, 2, 4, 4, 4, 1, 1, 0, 3, 3, 0, 2, 2, 4, 4, 1, 2, 4, 1, 3, 0, 3, 1, 1, 4, 2, 3, 1, 1, 3, 4, 3, 3, 4, 3, 0, 4, 4, 1, 4, 1, 4, 4, 2, 3, 3, 2, 2, 3, 2, 1, 2, 1, 3, 2, 2, 1, 4, 1, 1, 4, 0, 0, 2, 1, 0, 2, 2, 2, 3, 3, 1, 3, 1, 4, 1, 0, 1, 4, 1, 3, 2, 4, 0, 2, 1, 0, 2, 3, 0, 2, 0, 1, 1, 1, 3, 4, 2, 2, 3, 2, 3, 2, 3, 3, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 4, 0, 2, 1, 0, 0, 3, 4, 4, 0, 2, 3, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 3, 1, 4, 0, 2, 0, 3, 3, 3, 0, 0, 4, 2, 2, 4, 3, 1, 1, 3, 3, 0, 1, 0, 2, 4, 2, 3, 1, 4, 1, 0, 4, 1, 4, 4, 4, 0, 1, 0, 2, 2, 0, 2, 0, 3, 2, 3, 3, 2, 4, 0, 0, 0, 1, 0, 3, 1, 2, 3, 2, 3, 4, 4, 1, 0, 0, 1, 2, 1, 4, 0] pubkeycol1562 = [4, 2, 2, 4, 3, 3, 4, 2, 1, 3, 1, 3, 3, 3, 3, 1, 1, 2, 0, 4, 0, 0, 3, 1, 4, 4, 3, 2, 2, 3, 0, 2, 2, 4, 1, 3, 2, 2, 3, 2, 2, 0, 4, 0, 2, 2, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 2, 4, 1, 1, 1, 0, 0, 0, 2, 4, 2, 0, 4, 4, 2, 2, 0, 3, 3, 2, 4, 3, 1, 2, 2, 0, 1, 0, 1, 1, 0, 4, 4, 2, 4, 2, 0, 2, 1, 3, 2, 1, 4, 4, 3, 4, 2, 2, 1, 4, 2, 4, 0, 2, 2, 3, 1, 2, 3, 1, 4, 4, 0, 2, 3, 3, 3, 4, 2, 1, 3, 1, 3, 0, 3, 0, 2, 1, 4, 0, 2, 3, 3, 4, 0, 3, 2, 4, 4, 3, 3, 3, 4, 4, 2, 2, 1, 2, 0, 0, 0, 4, 2, 3, 0, 1, 4, 4, 4, 1, 4, 4, 2, 1, 1, 2, 4, 4, 4, 4, 1, 4, 4, 1, 0, 0, 2, 3, 1, 1, 4, 2, 3, 1, 4, 3, 4, 4, 2, 1, 2, 1, 4, 2, 1, 4, 4, 4, 0, 4, 3, 4, 4, 1, 2, 0, 4, 1, 0, 3, 3, 3, 1, 2, 4, 2, 3, 0, 1, 3, 0, 1, 3, 3, 2, 4, 4, 2, 3, 0, 2, 0, 3, 4, 3, 1, 0, 1, 0, 0, 4, 4, 3, 1, 2, 2, 0, 3, 2, 1, 2, 3, 3, 3, 4, 2, 1, 3, 1, 4, 2, 3, 4, 4, 2, 4, 1, 3, 1, 0, 4, 3, 0, 1, 1, 4, 3, 2, 1, 0, 4, 0, 1, 4, 3, 1, 1, 0, 1, 2, 4, 3, 2, 0, 0, 0, 3, 3, 1, 0, 2, 0, 2, 0, 4, 2, 0, 0, 1, 2, 1, 4, 3, 4, 3, 3, 4, 0, 0, 4, 1, 0, 3, 0, 1, 4, 4, 4, 1, 2, 3, 3, 0, 1, 4, 4, 3, 4, 1, 0, 1, 0, 0, 3, 0, 0, 2, 0, 2, 1, 3, 4, 3, 4, 2, 1, 2, 0, 0, 1, 1, 0, 4, 1, 0, 0, 2, 2, 0, 3, 4, 2, 2, 2, 1, 4, 4, 1, 4, 2, 3, 1, 2, 3, 0, 2, 1, 2, 3, 2, 4, 1, 1, 4, 2, 0, 0, 3, 2, 0, 3, 0, 1, 3, 3, 2, 3, 0, 3, 2, 1, 0, 3, 1, 2, 1, 1, 3, 0, 4, 0, 1, 0, 0, 4, 4, 3, 2, 0, 2, 2, 3, 4, 2, 0, 1, 3, 3, 4, 1, 0, 2, 0, 0, 2, 4, 0, 3, 0, 4, 4, 1, 1, 1, 2, 1, 0, 2, 3, 4, 0, 1, 1, 0, 1, 4, 2, 2, 1, 4, 4, 2, 3, 3] pubkeycol1563 = [2, 1, 3, 0, 1, 4, 1, 0, 2, 4, 0, 3, 3, 4, 2, 2, 3, 3, 4, 4, 2, 2, 2, 1, 2, 0, 4, 1, 3, 2, 0, 0, 3, 2, 1, 0, 2, 2, 3, 4, 4, 0, 2, 2, 3, 1, 0, 0, 0, 4, 2, 0, 4, 1, 0, 3, 3, 3, 1, 0, 1, 0, 0, 4, 1, 1, 4, 1, 2, 1, 0, 4, 3, 2, 1, 3, 2, 3, 0, 1, 3, 0, 1, 4, 3, 2, 4, 4, 2, 0, 0, 1, 3, 4, 0, 4, 2, 0, 3, 1, 0, 0, 2, 2, 3, 4, 0, 3, 4, 1, 0, 0, 3, 0, 4, 4, 3, 4, 4, 0, 1, 0, 1, 4, 1, 4, 0, 2, 4, 1, 2, 0, 3, 2, 0, 3, 0, 3, 2, 4, 3, 2, 0, 4, 0, 4, 4, 1, 2, 1, 4, 4, 0, 4, 4, 0, 0, 0, 1, 1, 0, 3, 1, 4, 3, 3, 3, 1, 0, 0, 2, 4, 3, 2, 1, 4, 0, 3, 4, 0, 4, 1, 4, 4, 0, 2, 1, 2, 1, 2, 0, 1, 1, 4, 2, 2, 0, 3, 3, 3, 4, 3, 3, 3, 3, 4, 0, 4, 3, 3, 3, 4, 0, 0, 3, 4, 1, 1, 3, 1, 4, 3, 4, 3, 1, 0, 0, 0, 2, 4, 0, 4, 3, 0, 0, 3, 0, 1, 1, 4, 3, 0, 1, 1, 2, 4, 2, 2, 0, 4, 1, 4, 1, 1, 3, 3, 0, 4, 0, 1, 4, 3, 1, 1, 1, 1, 3, 1, 1, 0, 2, 4, 3, 4, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 3, 2, 4, 4, 4, 1, 3, 0, 1, 2, 2, 2, 3, 0, 4, 0, 2, 4, 2, 4, 0, 0, 0, 2, 2, 1, 0, 4, 3, 3, 0, 3, 1, 0, 3, 3, 2, 2, 0, 1, 2, 4, 3, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 2, 4, 2, 1, 3, 4, 1, 0, 0, 3, 3, 3, 0, 0, 4, 2, 1, 2, 3, 0, 1, 4, 4, 1, 1, 0, 1, 2, 0, 2, 1, 1, 3, 1, 2, 0, 2, 2, 4, 4, 0, 1, 2, 0, 0, 3, 0, 2, 3, 0, 4, 4, 0, 3, 2, 2, 2, 1, 0, 2, 1, 4, 0, 3, 4, 3, 1, 4, 4, 0, 3, 3, 0, 1, 4, 0, 4, 0, 2, 4, 4, 4, 2, 3, 1, 1, 0, 3, 3, 1, 0, 0, 1, 0, 3, 0, 0, 3, 1, 2, 4, 2, 3, 1, 2, 3, 3, 0, 2, 4, 0, 3, 0, 0, 1, 0, 4, 1, 2, 2, 4, 3, 2, 2, 0, 2, 2, 2, 3, 1, 3, 0, 1, 4, 2, 4] pubkeycol1564 = [1, 3, 0, 0, 1, 3, 2, 0, 4, 4, 1, 0, 1, 2, 2, 1, 4, 0, 1, 1, 1, 3, 4, 0, 0, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 4, 3, 4, 3, 0, 0, 4, 4, 3, 2, 1, 3, 0, 4, 2, 1, 3, 3, 3, 0, 4, 4, 1, 3, 0, 2, 2, 1, 4, 1, 3, 0, 0, 1, 4, 4, 3, 4, 2, 1, 0, 0, 1, 0, 0, 4, 1, 3, 4, 0, 0, 0, 1, 0, 1, 4, 0, 0, 1, 1, 1, 1, 2, 3, 4, 2, 0, 1, 2, 3, 1, 1, 3, 1, 4, 3, 4, 1, 1, 1, 2, 1, 2, 1, 4, 3, 1, 4, 0, 4, 4, 1, 0, 0, 0, 2, 2, 4, 4, 4, 4, 0, 4, 3, 1, 1, 0, 2, 1, 4, 4, 0, 0, 3, 4, 3, 0, 0, 2, 3, 2, 0, 4, 1, 0, 3, 2, 1, 3, 2, 3, 4, 1, 4, 0, 3, 1, 1, 1, 2, 2, 3, 1, 2, 2, 0, 1, 0, 2, 0, 4, 4, 3, 0, 0, 2, 4, 1, 2, 2, 2, 3, 4, 4, 3, 1, 3, 2, 1, 3, 4, 0, 3, 0, 2, 4, 0, 4, 0, 3, 4, 4, 0, 1, 0, 2, 2, 1, 4, 0, 1, 2, 3, 4, 4, 0, 4, 0, 1, 4, 4, 0, 1, 1, 0, 4, 2, 4, 1, 0, 0, 0, 4, 3, 4, 0, 3, 1, 2, 1, 1, 3, 2, 1, 3, 0, 2, 3, 2, 0, 4, 2, 0, 1, 0, 1, 4, 0, 4, 3, 4, 3, 1, 1, 1, 2, 1, 3, 4, 0, 4, 2, 0, 2, 0, 3, 0, 3, 3, 3, 1, 3, 4, 3, 2, 2, 2, 0, 4, 3, 0, 2, 0, 2, 0, 2, 4, 3, 1, 4, 3, 1, 2, 3, 4, 4, 2, 1, 3, 2, 0, 2, 1, 0, 2, 0, 2, 4, 1, 4, 4, 3, 0, 4, 4, 4, 2, 1, 2, 3, 1, 2, 1, 4, 3, 3, 4, 2, 1, 1, 2, 2, 2, 4, 0, 4, 2, 0, 3, 0, 3, 3, 1, 3, 4, 2, 0, 1, 1, 4, 2, 2, 0, 0, 4, 2, 3, 2, 0, 0, 1, 0, 3, 2, 3, 2, 4, 3, 4, 2, 3, 2, 3, 0, 0, 4, 0, 1, 2, 3, 0, 1, 2, 1, 0, 3, 3, 1, 1, 2, 0, 1, 2, 1, 4, 2, 2, 1, 1, 3, 0, 3, 2, 0, 4, 1, 0, 2, 1, 2, 3, 1, 1, 0, 4, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 4, 1, 0, 0, 3, 3, 2, 1, 1, 2, 4, 0, 0, 3, 3, 1, 1, 2, 3, 4, 1, 4, 3, 3, 0, 2, 1, 0, 2] pubkeycol1565 = [0, 0, 2, 0, 4, 4, 4, 0, 1, 4, 3, 4, 2, 3, 0, 0, 0, 1, 3, 4, 3, 3, 1, 4, 4, 4, 0, 3, 2, 4, 3, 3, 3, 4, 0, 4, 1, 0, 0, 1, 3, 3, 1, 4, 2, 4, 1, 1, 4, 3, 1, 4, 2, 4, 3, 4, 0, 3, 4, 4, 2, 2, 3, 2, 1, 0, 0, 4, 0, 2, 1, 4, 1, 1, 0, 2, 3, 1, 2, 0, 1, 0, 4, 0, 0, 2, 0, 2, 2, 4, 2, 3, 1, 2, 4, 0, 3, 3, 1, 0, 4, 3, 1, 4, 4, 3, 1, 2, 4, 4, 4, 2, 0, 0, 2, 3, 2, 3, 4, 1, 2, 3, 1, 0, 3, 2, 0, 1, 3, 2, 0, 3, 4, 4, 4, 3, 2, 2, 1, 0, 0, 1, 0, 4, 1, 3, 3, 4, 2, 4, 1, 0, 2, 3, 4, 1, 1, 0, 3, 4, 3, 1, 2, 2, 3, 3, 4, 3, 4, 0, 1, 0, 3, 3, 0, 2, 2, 0, 4, 2, 1, 1, 4, 0, 0, 3, 0, 1, 1, 1, 1, 4, 1, 0, 4, 4, 4, 1, 2, 1, 1, 2, 0, 0, 4, 0, 3, 2, 4, 4, 0, 3, 1, 4, 2, 2, 2, 4, 2, 0, 0, 3, 3, 2, 1, 0, 1, 4, 3, 3, 4, 4, 3, 3, 4, 0, 4, 0, 2, 4, 4, 4, 2, 0, 3, 0, 2, 0, 4, 4, 1, 1, 4, 4, 4, 4, 0, 3, 1, 1, 0, 4, 1, 4, 2, 2, 2, 3, 4, 0, 2, 2, 1, 2, 1, 4, 3, 4, 2, 3, 0, 3, 0, 2, 1, 3, 3, 4, 2, 2, 3, 0, 3, 3, 1, 2, 3, 4, 1, 1, 4, 1, 1, 3, 3, 1, 2, 0, 0, 1, 3, 4, 1, 1, 4, 1, 4, 2, 3, 3, 1, 4, 3, 2, 1, 3, 0, 2, 4, 1, 2, 1, 4, 2, 0, 0, 3, 2, 4, 0, 3, 3, 3, 4, 3, 3, 3, 2, 0, 3, 4, 3, 2, 1, 1, 3, 2, 4, 1, 1, 2, 0, 2, 0, 4, 0, 3, 3, 2, 2, 1, 2, 4, 1, 0, 4, 1, 3, 3, 3, 0, 4, 4, 3, 3, 4, 0, 1, 1, 2, 2, 2, 3, 3, 0, 2, 0, 4, 4, 3, 0, 2, 3, 1, 2, 3, 2, 2, 0, 4, 3, 4, 2, 2, 3, 1, 0, 2, 3, 1, 4, 2, 0, 2, 2, 4, 3, 1, 2, 3, 1, 1, 2, 3, 2, 2, 4, 4, 1, 1, 2, 0, 0, 4, 1, 2, 0, 2, 2, 3, 4, 2, 0, 3, 0, 1, 2, 4, 0, 4, 1, 3, 3, 3, 2, 2, 0, 1, 4, 1, 3, 3, 0, 2, 4, 1, 1, 0, 4, 2] pubkeycol1566 = [2, 0, 0, 3, 2, 2, 4, 4, 3, 1, 0, 4, 3, 3, 1, 1, 4, 4, 4, 2, 1, 1, 2, 2, 4, 3, 2, 1, 3, 3, 4, 0, 3, 2, 2, 4, 3, 1, 1, 4, 0, 3, 4, 2, 4, 0, 4, 3, 2, 4, 4, 1, 2, 1, 2, 1, 0, 3, 3, 0, 4, 1, 2, 4, 0, 0, 1, 1, 2, 3, 0, 1, 0, 4, 1, 1, 1, 1, 0, 3, 4, 2, 3, 2, 2, 3, 4, 4, 1, 0, 3, 3, 4, 1, 2, 4, 2, 4, 3, 0, 3, 0, 2, 0, 3, 1, 0, 0, 4, 1, 4, 2, 1, 1, 0, 3, 2, 4, 2, 0, 0, 1, 3, 3, 3, 4, 2, 1, 1, 2, 1, 3, 0, 2, 0, 1, 4, 3, 2, 4, 1, 3, 4, 0, 3, 2, 2, 0, 3, 4, 2, 0, 3, 4, 3, 1, 0, 1, 1, 1, 3, 2, 2, 0, 3, 4, 1, 1, 3, 1, 3, 4, 3, 1, 3, 0, 0, 2, 1, 1, 4, 0, 2, 1, 0, 3, 2, 4, 1, 2, 3, 1, 4, 2, 1, 4, 2, 2, 0, 4, 1, 3, 4, 0, 1, 2, 2, 2, 0, 0, 1, 2, 3, 1, 2, 2, 2, 1, 0, 3, 3, 2, 2, 2, 2, 0, 1, 4, 1, 4, 0, 4, 2, 1, 4, 4, 1, 0, 0, 4, 1, 1, 3, 0, 3, 4, 0, 1, 3, 4, 1, 2, 2, 4, 0, 2, 0, 1, 0, 1, 0, 1, 0, 4, 3, 3, 0, 4, 3, 4, 1, 4, 2, 1, 3, 3, 3, 4, 2, 0, 1, 1, 3, 3, 4, 3, 0, 0, 0, 4, 2, 3, 1, 4, 4, 4, 2, 4, 2, 3, 2, 4, 1, 4, 3, 2, 4, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 4, 1, 3, 4, 0, 4, 3, 1, 4, 1, 0, 3, 4, 2, 4, 2, 1, 3, 2, 1, 2, 4, 2, 0, 3, 4, 1, 0, 1, 4, 2, 0, 1, 4, 4, 1, 1, 1, 0, 3, 2, 3, 3, 2, 3, 3, 4, 4, 1, 3, 1, 1, 2, 4, 1, 0, 0, 3, 2, 2, 3, 2, 1, 1, 2, 2, 3, 0, 0, 3, 0, 1, 4, 2, 2, 0, 2, 1, 1, 1, 1, 3, 4, 1, 4, 4, 4, 3, 4, 0, 3, 4, 4, 2, 3, 0, 4, 3, 0, 2, 0, 3, 1, 4, 1, 4, 4, 1, 3, 2, 3, 4, 1, 3, 0, 4, 2, 1, 4, 2, 1, 0, 0, 3, 3, 0, 1, 2, 2, 0, 2, 3, 1, 4, 0, 0, 4, 4, 1, 2, 1, 1, 4, 4, 3, 4, 0, 0, 2, 0, 1, 3, 0, 1, 4, 1, 0, 4, 2, 1] pubkeycol1567 = [1, 4, 1, 4, 1, 0, 3, 2, 4, 3, 2, 0, 3, 1, 1, 0, 2, 1, 3, 4, 3, 0, 4, 0, 1, 4, 4, 3, 2, 3, 2, 0, 1, 3, 2, 2, 3, 4, 3, 1, 4, 4, 2, 4, 3, 2, 2, 0, 1, 3, 1, 0, 4, 0, 2, 4, 3, 0, 3, 3, 1, 4, 0, 3, 2, 1, 0, 1, 2, 3, 4, 3, 0, 1, 0, 3, 1, 1, 4, 1, 1, 0, 0, 3, 3, 0, 0, 3, 4, 0, 0, 2, 1, 2, 3, 0, 4, 4, 1, 4, 3, 1, 4, 2, 0, 4, 4, 3, 3, 4, 2, 3, 1, 0, 4, 3, 2, 3, 2, 0, 1, 2, 1, 0, 0, 4, 2, 0, 0, 4, 1, 0, 4, 3, 1, 3, 2, 2, 1, 1, 2, 2, 4, 4, 0, 1, 0, 4, 2, 4, 3, 1, 1, 3, 3, 1, 0, 1, 4, 3, 4, 0, 4, 3, 2, 1, 4, 3, 0, 4, 1, 2, 3, 1, 3, 4, 3, 2, 1, 1, 3, 1, 4, 1, 2, 0, 4, 2, 0, 1, 3, 2, 2, 1, 3, 3, 0, 2, 2, 1, 3, 2, 3, 1, 4, 0, 4, 0, 1, 3, 2, 0, 0, 1, 1, 3, 2, 1, 0, 1, 2, 1, 2, 4, 4, 4, 0, 3, 0, 3, 0, 0, 1, 4, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 1, 0, 1, 1, 4, 0, 1, 4, 1, 2, 0, 3, 0, 1, 4, 1, 2, 2, 3, 4, 0, 3, 0, 3, 0, 4, 0, 1, 0, 0, 1, 0, 4, 1, 4, 3, 4, 4, 4, 3, 1, 0, 4, 0, 1, 4, 1, 4, 0, 3, 1, 4, 2, 0, 4, 3, 3, 2, 4, 4, 4, 2, 3, 0, 0, 1, 4, 1, 3, 3, 2, 1, 3, 3, 3, 2, 1, 3, 0, 4, 2, 3, 3, 1, 3, 4, 1, 3, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 4, 2, 4, 0, 1, 0, 4, 0, 0, 2, 3, 1, 0, 4, 2, 4, 0, 3, 0, 2, 4, 1, 1, 0, 1, 2, 1, 4, 0, 4, 4, 4, 3, 1, 3, 0, 4, 2, 1, 1, 2, 4, 3, 3, 2, 3, 2, 0, 4, 3, 3, 1, 4, 1, 1, 4, 4, 1, 3, 3, 2, 2, 4, 2, 2, 2, 1, 3, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 4, 4, 3, 3, 4, 0, 0, 3, 4, 2, 2, 2, 1, 4, 0, 0, 0, 1, 4, 2, 4, 2, 3, 2, 0, 1, 2, 2, 3, 1, 0, 3, 4, 1, 2, 3, 1, 1, 2, 3, 2, 2, 1, 1, 3, 0, 4, 4, 3, 0, 1, 2] pubkeycol1568 = [1, 1, 3, 0, 0, 1, 0, 2, 3, 1, 3, 0, 4, 4, 1, 4, 2, 1, 2, 3, 1, 1, 0, 4, 2, 3, 1, 3, 3, 2, 1, 0, 4, 2, 4, 1, 4, 3, 1, 0, 0, 2, 1, 2, 1, 3, 3, 4, 1, 1, 3, 0, 0, 2, 3, 3, 0, 0, 0, 3, 2, 2, 3, 3, 1, 3, 3, 4, 0, 4, 3, 1, 2, 3, 3, 4, 1, 3, 4, 4, 4, 0, 1, 0, 0, 3, 0, 0, 3, 3, 4, 2, 1, 4, 0, 2, 3, 1, 4, 4, 2, 3, 4, 1, 0, 2, 4, 0, 3, 4, 4, 2, 3, 4, 2, 0, 4, 3, 3, 0, 0, 4, 3, 0, 1, 0, 1, 4, 2, 3, 4, 0, 0, 0, 0, 1, 2, 0, 4, 1, 2, 1, 0, 2, 1, 4, 1, 0, 1, 1, 4, 3, 1, 2, 4, 1, 2, 0, 1, 3, 4, 2, 2, 0, 2, 4, 0, 2, 1, 0, 0, 0, 4, 3, 0, 4, 1, 3, 3, 2, 0, 4, 2, 3, 3, 2, 3, 0, 0, 3, 2, 3, 0, 2, 4, 3, 4, 4, 1, 2, 0, 4, 2, 1, 4, 0, 4, 3, 3, 3, 3, 3, 1, 0, 0, 4, 0, 3, 4, 3, 1, 1, 3, 1, 3, 0, 0, 4, 4, 3, 3, 1, 2, 0, 0, 0, 0, 1, 4, 4, 1, 0, 2, 3, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 4, 4, 2, 2, 3, 4, 2, 4, 4, 4, 3, 4, 3, 0, 3, 4, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 3, 0, 0, 3, 4, 2, 1, 2, 3, 0, 3, 4, 4, 0, 1, 4, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 4, 0, 0, 1, 3, 2, 4, 4, 1, 2, 0, 3, 0, 4, 1, 1, 1, 2, 2, 1, 3, 4, 2, 2, 0, 4, 3, 3, 1, 1, 0, 0, 0, 1, 1, 4, 2, 2, 4, 2, 0, 4, 1, 4, 2, 1, 3, 0, 0, 1, 3, 0, 2, 3, 1, 4, 0, 3, 4, 4, 0, 0, 0, 2, 4, 3, 2, 2, 0, 1, 0, 3, 4, 1, 3, 1, 3, 4, 2, 4, 3, 3, 1, 0, 4, 1, 4, 0, 3, 4, 3, 0, 1, 2, 0, 3, 0, 1, 0, 1, 0, 4, 4, 1, 3, 3, 4, 4, 0, 3, 1, 3, 4, 1, 1, 1, 4, 1, 3, 1, 4, 1, 3, 0, 0, 4, 4, 2, 1, 0, 4, 3, 2, 0, 2, 1, 2, 3, 2, 0, 0, 1, 1, 0, 4, 1, 2, 4, 0, 0, 3, 3, 2, 0, 3, 4, 4, 0, 2, 3, 4, 2, 3, 0, 3, 3, 0, 4, 2, 2] pubkeycol1569 = [1, 4, 1, 1, 1, 0, 2, 2, 3, 0, 1, 2, 4, 3, 4, 3, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 4, 1, 3, 0, 0, 1, 2, 3, 0, 2, 3, 2, 4, 4, 3, 0, 0, 2, 0, 1, 0, 1, 4, 0, 2, 2, 1, 4, 3, 1, 2, 4, 0, 3, 1, 3, 4, 0, 1, 0, 0, 1, 0, 3, 4, 1, 0, 3, 2, 2, 2, 1, 4, 1, 0, 0, 0, 4, 4, 0, 3, 2, 0, 0, 1, 3, 3, 1, 0, 3, 1, 3, 0, 4, 1, 4, 3, 4, 2, 4, 1, 1, 2, 0, 1, 4, 1, 3, 3, 2, 0, 2, 1, 2, 4, 0, 0, 4, 0, 1, 4, 1, 4, 1, 4, 4, 2, 2, 1, 1, 0, 1, 0, 0, 1, 3, 2, 0, 2, 2, 1, 2, 3, 4, 2, 1, 1, 3, 2, 4, 2, 0, 3, 3, 3, 4, 4, 3, 4, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 4, 2, 4, 3, 3, 3, 2, 0, 4, 3, 4, 1, 2, 2, 0, 1, 4, 1, 3, 0, 2, 1, 4, 0, 0, 1, 4, 3, 1, 4, 4, 1, 0, 2, 2, 2, 3, 4, 2, 1, 0, 0, 4, 2, 0, 2, 1, 1, 0, 2, 0, 4, 2, 2, 3, 1, 4, 0, 4, 4, 1, 3, 3, 3, 4, 3, 0, 3, 1, 2, 0, 1, 1, 1, 0, 2, 3, 4, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 1, 4, 4, 0, 2, 0, 1, 0, 0, 3, 3, 2, 2, 4, 0, 4, 0, 4, 4, 3, 4, 0, 0, 2, 2, 2, 2, 1, 4, 1, 2, 0, 4, 3, 4, 1, 1, 1, 3, 3, 2, 3, 1, 3, 2, 4, 4, 4, 3, 2, 3, 4, 2, 0, 0, 4, 4, 1, 4, 4, 1, 3, 2, 0, 2, 0, 3, 0, 4, 2, 1, 4, 2, 1, 1, 3, 1, 1, 4, 0, 1, 0, 3, 4, 2, 3, 3, 1, 1, 3, 3, 2, 4, 4, 4, 3, 0, 4, 2, 2, 1, 3, 2, 2, 4, 2, 2, 0, 4, 4, 1, 3, 2, 4, 0, 3, 2, 3, 4, 4, 4, 4, 2, 1, 2, 3, 1, 0, 1, 2, 0, 1, 1, 2, 0, 4, 2, 4, 2, 2, 1, 3, 0, 4, 0, 4, 2, 3, 1, 4, 4, 1, 0, 0, 3, 1, 1, 0, 4, 1, 3, 0, 0, 2, 3, 3, 0, 4, 0, 0, 1, 1, 1, 4, 2, 4, 1, 4, 4, 2, 4, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 4, 4, 1, 1, 3, 4, 0, 4, 2, 2, 2, 1, 0, 0, 3, 4, 3, 0] pubkeycol1570 = [2, 0, 4, 1, 4, 1, 3, 0, 4, 3, 1, 2, 0, 2, 0, 3, 1, 4, 1, 3, 3, 1, 4, 4, 2, 1, 4, 2, 1, 0, 0, 2, 3, 1, 4, 0, 0, 3, 1, 0, 2, 2, 3, 4, 0, 2, 4, 0, 0, 3, 4, 3, 0, 3, 2, 3, 0, 4, 4, 4, 1, 2, 2, 4, 0, 4, 4, 3, 2, 4, 3, 1, 1, 2, 1, 0, 2, 4, 1, 4, 1, 0, 0, 2, 0, 2, 1, 3, 4, 3, 0, 3, 3, 2, 1, 4, 0, 3, 0, 2, 4, 2, 4, 2, 0, 3, 3, 1, 1, 0, 4, 1, 4, 2, 4, 0, 3, 0, 1, 1, 0, 2, 1, 2, 3, 1, 3, 4, 3, 0, 2, 4, 0, 3, 0, 2, 2, 1, 0, 0, 1, 2, 4, 3, 4, 0, 2, 3, 1, 1, 4, 3, 1, 1, 1, 4, 2, 0, 4, 3, 2, 3, 0, 4, 1, 2, 4, 1, 4, 3, 1, 3, 0, 4, 1, 1, 4, 3, 1, 0, 1, 2, 1, 3, 2, 3, 4, 3, 1, 1, 4, 1, 3, 4, 0, 3, 1, 4, 1, 3, 3, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 4, 4, 0, 1, 2, 2, 2, 3, 2, 1, 0, 2, 2, 4, 2, 3, 4, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 3, 1, 1, 4, 3, 2, 3, 0, 0, 0, 2, 0, 4, 3, 2, 4, 3, 3, 0, 1, 3, 4, 4, 2, 1, 1, 4, 2, 1, 0, 2, 3, 2, 0, 2, 4, 4, 4, 3, 4, 2, 2, 3, 4, 3, 4, 2, 0, 2, 0, 2, 2, 3, 4, 3, 4, 4, 3, 1, 4, 4, 1, 3, 4, 2, 1, 4, 1, 1, 1, 3, 2, 2, 2, 4, 0, 3, 1, 4, 4, 3, 2, 4, 3, 2, 2, 0, 1, 3, 1, 0, 0, 0, 3, 0, 4, 4, 3, 1, 1, 3, 4, 1, 2, 2, 3, 1, 0, 0, 0, 3, 4, 1, 4, 2, 0, 1, 3, 0, 2, 1, 2, 2, 4, 4, 0, 0, 3, 2, 3, 2, 3, 0, 0, 1, 4, 3, 2, 4, 0, 1, 0, 4, 2, 1, 2, 3, 0, 1, 2, 2, 4, 3, 0, 4, 4, 0, 3, 2, 2, 3, 3, 0, 0, 2, 1, 3, 2, 2, 3, 2, 3, 0, 3, 3, 4, 3, 4, 0, 4, 0, 2, 0, 2, 4, 2, 3, 4, 4, 2, 0, 1, 2, 1, 0, 0, 1, 2, 3, 3, 0, 3, 4, 2, 3, 0, 4, 3, 4, 1, 4, 2, 1, 1, 2, 2, 1, 3, 3, 4, 0, 0, 3, 1, 3, 0, 4, 3, 0, 3, 0, 1, 4, 0, 3, 3, 1, 0, 0, 1] pubkeycol1571 = [1, 1, 2, 3, 2, 2, 3, 0, 1, 2, 4, 3, 1, 0, 4, 0, 4, 1, 2, 1, 0, 0, 3, 2, 2, 3, 1, 0, 4, 3, 0, 4, 2, 2, 1, 2, 0, 3, 0, 3, 3, 4, 0, 0, 0, 2, 2, 2, 4, 0, 1, 3, 1, 1, 3, 3, 2, 1, 4, 3, 4, 4, 4, 4, 2, 2, 3, 0, 1, 4, 2, 3, 0, 2, 4, 3, 3, 3, 4, 4, 2, 4, 3, 0, 1, 0, 4, 2, 2, 0, 3, 3, 1, 1, 2, 0, 3, 3, 1, 4, 0, 2, 4, 4, 3, 3, 0, 2, 3, 0, 4, 2, 3, 3, 4, 3, 3, 4, 1, 2, 2, 1, 1, 4, 1, 2, 3, 1, 1, 0, 2, 2, 1, 0, 4, 2, 3, 4, 2, 3, 4, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 2, 3, 4, 2, 1, 0, 3, 4, 1, 0, 1, 0, 3, 3, 3, 2, 4, 2, 2, 2, 4, 1, 0, 3, 0, 2, 4, 4, 4, 1, 0, 4, 2, 3, 0, 2, 4, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 2, 4, 2, 4, 2, 2, 1, 3, 4, 4, 1, 4, 1, 4, 3, 0, 3, 3, 3, 0, 4, 2, 3, 4, 2, 0, 4, 3, 0, 0, 2, 0, 2, 2, 0, 4, 3, 3, 2, 3, 4, 3, 3, 1, 1, 0, 3, 3, 3, 4, 3, 3, 1, 3, 1, 4, 2, 3, 4, 0, 4, 1, 4, 2, 3, 0, 3, 3, 0, 2, 2, 4, 4, 4, 4, 2, 0, 4, 1, 4, 1, 3, 3, 2, 3, 2, 0, 1, 2, 4, 4, 3, 3, 2, 1, 1, 0, 1, 4, 3, 1, 0, 1, 4, 0, 0, 3, 1, 2, 0, 4, 1, 2, 2, 4, 1, 2, 2, 1, 2, 4, 4, 4, 3, 4, 2, 1, 0, 3, 2, 2, 4, 4, 1, 3, 2, 3, 3, 3, 0, 1, 2, 4, 0, 1, 4, 0, 1, 4, 0, 1, 3, 2, 4, 4, 0, 1, 0, 1, 1, 1, 4, 1, 4, 1, 1, 0, 4, 3, 3, 0, 1, 4, 1, 2, 4, 0, 1, 1, 4, 2, 1, 1, 0, 0, 1, 0, 0, 4, 3, 3, 0, 3, 3, 4, 4, 4, 1, 4, 2, 0, 4, 2, 2, 4, 4, 0, 3, 0, 3, 2, 3, 1, 3, 0, 2, 0, 4, 1, 2, 0, 0, 2, 2, 1, 3, 0, 4, 3, 2, 0, 2, 3, 3, 3, 0, 0, 3, 4, 2, 2, 3, 1, 1, 4, 0, 0, 2, 0, 3, 0, 3, 4, 4, 4, 4, 1, 4, 0, 3, 4, 4, 2, 2, 1, 1, 1, 2, 4, 3] pubkeycol1572 = [2, 4, 0, 3, 2, 1, 0, 1, 0, 3, 4, 2, 3, 1, 4, 4, 4, 4, 0, 1, 4, 2, 2, 2, 3, 4, 2, 2, 3, 4, 1, 2, 1, 4, 2, 0, 3, 0, 2, 0, 0, 4, 0, 1, 3, 2, 3, 0, 1, 2, 0, 1, 2, 4, 0, 4, 2, 1, 1, 3, 4, 0, 2, 1, 1, 3, 0, 2, 3, 2, 3, 1, 1, 1, 1, 1, 3, 1, 4, 1, 0, 2, 2, 1, 3, 4, 0, 4, 3, 1, 1, 0, 4, 2, 2, 1, 4, 1, 3, 0, 0, 3, 3, 4, 2, 3, 2, 2, 1, 1, 4, 3, 3, 0, 2, 4, 1, 3, 1, 0, 4, 3, 2, 2, 2, 4, 1, 0, 4, 4, 2, 0, 4, 2, 2, 3, 1, 3, 2, 3, 1, 3, 1, 4, 2, 4, 0, 3, 1, 4, 0, 1, 1, 2, 2, 1, 1, 4, 2, 3, 1, 1, 2, 3, 0, 2, 4, 3, 3, 1, 2, 3, 2, 0, 2, 2, 1, 3, 0, 1, 0, 4, 0, 0, 2, 3, 4, 4, 3, 1, 2, 2, 3, 4, 4, 4, 4, 2, 1, 4, 4, 2, 1, 2, 0, 2, 1, 4, 4, 3, 4, 3, 1, 0, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 0, 3, 4, 1, 3, 2, 0, 0, 2, 3, 3, 3, 1, 1, 4, 3, 0, 2, 1, 4, 0, 2, 3, 0, 3, 4, 0, 2, 1, 3, 4, 3, 0, 1, 0, 2, 1, 4, 0, 3, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 3, 0, 1, 1, 4, 0, 4, 1, 4, 2, 1, 0, 2, 3, 2, 4, 1, 3, 4, 2, 3, 0, 4, 2, 4, 1, 3, 0, 1, 1, 1, 3, 1, 3, 4, 2, 1, 4, 4, 2, 1, 1, 2, 0, 1, 2, 0, 2, 4, 4, 0, 1, 3, 3, 4, 3, 4, 1, 1, 4, 0, 4, 4, 4, 1, 4, 4, 3, 3, 0, 3, 2, 3, 1, 2, 4, 2, 0, 2, 3, 4, 3, 2, 0, 3, 0, 0, 0, 4, 3, 1, 3, 4, 3, 4, 4, 2, 0, 4, 0, 0, 4, 2, 2, 4, 4, 0, 4, 0, 4, 2, 1, 1, 3, 3, 1, 0, 3, 4, 0, 0, 2, 4, 0, 4, 0, 0, 4, 2, 4, 0, 2, 3, 3, 1, 3, 1, 4, 4, 3, 3, 0, 0, 4, 3, 3, 3, 4, 1, 0, 1, 1, 3, 0, 3, 4, 1, 3, 4, 1, 0, 2, 1, 4, 4, 2, 1, 0, 2, 0, 3, 1, 2, 0, 3, 3, 1, 3, 0, 4, 3, 1, 2, 1, 3, 1, 1, 0, 0, 1, 2, 3, 1, 1, 2, 0, 4, 2, 3, 1, 0, 0, 3, 0, 2, 1] pubkeycol1573 = [1, 0, 2, 4, 4, 2, 2, 0, 0, 4, 1, 0, 3, 2, 0, 2, 1, 4, 4, 2, 0, 1, 1, 3, 2, 1, 2, 2, 2, 3, 0, 4, 3, 2, 0, 1, 1, 3, 2, 1, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 3, 2, 3, 2, 4, 1, 4, 1, 1, 3, 2, 4, 0, 1, 1, 2, 4, 0, 2, 3, 2, 4, 0, 3, 1, 1, 1, 2, 4, 1, 4, 2, 4, 3, 3, 3, 0, 4, 4, 2, 1, 2, 3, 3, 0, 1, 2, 0, 1, 0, 0, 2, 0, 4, 4, 0, 0, 4, 0, 3, 2, 0, 1, 4, 3, 1, 2, 2, 0, 2, 2, 1, 1, 4, 2, 3, 0, 1, 3, 1, 3, 4, 0, 4, 2, 1, 2, 1, 1, 2, 0, 3, 0, 0, 4, 3, 3, 3, 2, 0, 4, 2, 1, 1, 2, 0, 2, 2, 1, 2, 3, 1, 2, 0, 1, 0, 3, 3, 3, 0, 3, 0, 3, 4, 0, 0, 1, 4, 3, 3, 0, 4, 3, 3, 4, 4, 4, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 3, 1, 4, 1, 2, 3, 2, 1, 3, 3, 3, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 0, 3, 4, 4, 3, 2, 0, 3, 0, 2, 3, 1, 2, 3, 2, 3, 1, 2, 0, 2, 3, 2, 2, 0, 1, 0, 3, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 3, 2, 2, 3, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 3, 4, 0, 3, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 0, 1, 3, 1, 4, 2, 3, 4, 4, 2, 0, 4, 2, 1, 0, 2, 0, 0, 2, 3, 4, 0, 3, 0, 4, 1, 0, 4, 4, 3, 4, 3, 2, 0, 3, 4, 1, 0, 0, 2, 3, 0, 4, 2, 0, 4, 3, 4, 4, 3, 2, 0, 3, 3, 2, 4, 0, 0, 3, 1, 1, 2, 4, 4, 1, 2, 4, 0, 3, 4, 2, 1, 1, 2, 2, 3, 1, 1, 0, 3, 3, 3, 1, 0, 0, 2, 2, 2, 4, 3, 4, 2, 4, 2, 4, 2, 0, 2, 0, 3, 2, 0, 0, 3, 1, 3, 0, 0, 2, 3, 0, 4, 0, 0, 3, 2, 4, 1, 2, 2, 4, 1, 1, 4, 3, 2, 0, 2, 3, 0, 1, 3, 1, 4, 3, 0, 1, 1, 4, 4, 0, 3, 1, 2, 0, 4, 4, 4, 0, 4, 3, 4, 2, 2, 2, 4, 3, 1, 4, 4, 0, 0, 2, 2, 4, 2, 3, 3, 0, 0, 4, 1, 1, 1, 4, 1, 1, 1, 1, 4, 4, 1, 0, 3, 4, 4, 2, 0, 2, 4] pubkeycol1574 = [4, 0, 4, 0, 3, 1, 1, 0, 1, 4, 1, 0, 0, 1, 1, 3, 1, 4, 0, 4, 3, 2, 3, 3, 1, 0, 3, 2, 4, 4, 3, 0, 0, 2, 3, 0, 1, 0, 2, 1, 4, 1, 2, 1, 0, 4, 0, 4, 1, 3, 2, 3, 4, 3, 4, 1, 0, 4, 4, 3, 1, 4, 2, 0, 4, 3, 0, 2, 3, 0, 2, 1, 4, 4, 4, 3, 0, 2, 4, 4, 1, 1, 0, 4, 4, 3, 0, 3, 4, 1, 3, 1, 4, 4, 2, 1, 4, 2, 3, 0, 4, 2, 1, 0, 0, 3, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 4, 3, 1, 0, 4, 1, 3, 2, 2, 2, 3, 2, 4, 2, 3, 2, 1, 4, 4, 2, 1, 3, 0, 4, 3, 1, 3, 0, 3, 2, 2, 1, 1, 4, 1, 0, 1, 0, 1, 2, 4, 0, 0, 4, 4, 3, 4, 2, 2, 1, 0, 3, 4, 0, 4, 4, 0, 4, 2, 4, 1, 1, 4, 3, 0, 4, 0, 3, 0, 2, 2, 3, 2, 0, 0, 1, 3, 4, 1, 1, 1, 2, 2, 0, 3, 1, 1, 2, 4, 1, 1, 3, 1, 1, 2, 0, 0, 2, 2, 3, 1, 0, 0, 3, 1, 0, 3, 1, 0, 4, 2, 4, 4, 4, 3, 2, 1, 2, 1, 1, 0, 3, 1, 3, 2, 2, 4, 2, 0, 1, 3, 1, 3, 3, 2, 3, 0, 3, 2, 0, 0, 3, 4, 2, 0, 3, 4, 1, 4, 3, 0, 1, 4, 0, 2, 0, 2, 3, 3, 4, 2, 3, 2, 2, 0, 0, 2, 3, 0, 0, 2, 4, 0, 1, 4, 2, 0, 3, 4, 3, 0, 0, 1, 2, 0, 1, 2, 4, 0, 1, 0, 0, 0, 3, 1, 1, 1, 3, 4, 3, 4, 0, 2, 3, 3, 1, 0, 4, 0, 2, 0, 0, 3, 2, 2, 3, 1, 1, 4, 4, 2, 1, 0, 3, 2, 2, 4, 3, 0, 2, 0, 2, 0, 1, 1, 2, 0, 3, 1, 0, 0, 3, 1, 0, 0, 4, 2, 0, 1, 1, 4, 2, 3, 4, 2, 2, 0, 3, 2, 3, 1, 4, 1, 1, 2, 4, 0, 1, 0, 0, 2, 3, 3, 1, 2, 4, 3, 3, 4, 4, 3, 4, 1, 2, 1, 2, 3, 1, 3, 4, 2, 0, 2, 4, 3, 2, 1, 1, 2, 4, 1, 1, 3, 2, 3, 4, 0, 3, 1, 0, 4, 2, 1, 4, 3, 3, 2, 3, 3, 2, 1, 1, 0, 0, 3, 1, 3, 1, 3, 1, 1, 0, 1, 4, 2, 0, 3, 0, 4, 1, 2, 2, 4, 4, 3, 4, 0, 4, 4, 4, 4, 3, 0, 4, 1, 3, 4, 0, 0, 2, 2, 1, 2, 0] pubkeycol1575 = [1, 0, 0, 4, 2, 2, 1, 2, 0, 3, 4, 1, 1, 0, 3, 4, 4, 0, 0, 3, 3, 2, 2, 2, 0, 1, 0, 3, 1, 3, 2, 4, 0, 1, 4, 3, 3, 0, 1, 3, 1, 0, 3, 4, 4, 2, 4, 0, 1, 3, 0, 4, 4, 4, 0, 0, 1, 4, 1, 0, 1, 4, 3, 0, 2, 3, 2, 4, 3, 1, 4, 1, 1, 3, 4, 0, 1, 2, 3, 3, 1, 3, 4, 4, 2, 4, 2, 2, 2, 3, 3, 0, 4, 0, 3, 4, 2, 2, 0, 2, 2, 1, 3, 2, 1, 3, 0, 0, 3, 0, 2, 0, 4, 0, 1, 3, 1, 3, 2, 3, 3, 0, 0, 1, 2, 2, 0, 0, 3, 4, 1, 3, 1, 1, 1, 0, 3, 1, 2, 4, 4, 3, 1, 1, 2, 2, 1, 4, 2, 1, 3, 4, 4, 1, 4, 4, 2, 4, 1, 4, 2, 4, 4, 2, 3, 1, 2, 0, 0, 2, 1, 4, 1, 2, 2, 4, 4, 4, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 3, 2, 2, 3, 0, 1, 0, 0, 0, 0, 2, 4, 1, 0, 4, 0, 2, 2, 1, 1, 4, 3, 4, 1, 1, 2, 2, 3, 4, 1, 0, 0, 1, 2, 0, 3, 4, 0, 1, 0, 1, 0, 0, 4, 3, 2, 1, 0, 2, 2, 3, 4, 0, 0, 4, 2, 1, 4, 4, 4, 1, 3, 1, 2, 4, 1, 4, 2, 4, 2, 4, 0, 3, 1, 2, 0, 1, 0, 2, 0, 4, 2, 3, 2, 3, 0, 2, 3, 0, 3, 0, 4, 1, 2, 0, 3, 1, 0, 0, 4, 0, 4, 3, 2, 2, 2, 4, 4, 3, 0, 0, 0, 2, 1, 4, 2, 2, 4, 1, 0, 3, 0, 0, 2, 4, 2, 4, 2, 4, 3, 2, 2, 3, 2, 1, 3, 0, 1, 0, 2, 4, 4, 3, 0, 1, 2, 2, 4, 4, 1, 2, 0, 3, 1, 0, 0, 2, 3, 1, 1, 0, 1, 0, 0, 4, 4, 3, 1, 1, 4, 2, 4, 2, 4, 4, 3, 0, 4, 4, 1, 3, 3, 3, 3, 0, 3, 3, 0, 2, 4, 0, 1, 4, 4, 3, 3, 3, 0, 4, 2, 0, 2, 1, 2, 4, 4, 1, 0, 4, 2, 0, 2, 0, 1, 0, 4, 1, 0, 3, 4, 4, 3, 4, 0, 0, 4, 3, 1, 4, 0, 1, 3, 2, 3, 4, 1, 4, 3, 0, 4, 1, 1, 0, 3, 1, 1, 4, 1, 3, 1, 3, 2, 1, 0, 0, 0, 1, 3, 0, 0, 0, 3, 1, 2, 2, 4, 2, 0, 1, 4, 4, 3, 2, 1, 3, 2, 3, 2, 4, 4, 2, 0, 4, 1, 1, 0, 1, 4, 3, 4, 1, 4] pubkeycol1576 = [4, 3, 3, 4, 3, 0, 3, 2, 0, 3, 2, 4, 4, 2, 0, 0, 3, 2, 0, 0, 1, 1, 0, 2, 4, 3, 0, 2, 3, 4, 4, 1, 3, 3, 4, 1, 1, 2, 3, 1, 0, 2, 3, 3, 1, 4, 4, 2, 4, 4, 4, 1, 3, 4, 0, 0, 3, 0, 2, 1, 2, 2, 0, 1, 0, 0, 3, 2, 2, 2, 2, 2, 4, 2, 4, 3, 1, 2, 4, 2, 3, 3, 4, 0, 1, 4, 0, 3, 4, 0, 3, 1, 0, 3, 4, 3, 3, 2, 4, 2, 1, 1, 2, 2, 4, 0, 2, 1, 1, 0, 4, 0, 1, 0, 4, 3, 1, 3, 1, 3, 4, 1, 4, 2, 3, 2, 2, 2, 4, 0, 3, 2, 4, 1, 1, 4, 1, 4, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 3, 2, 3, 0, 1, 0, 0, 3, 2, 2, 0, 4, 3, 2, 3, 0, 3, 2, 1, 4, 2, 1, 1, 4, 4, 2, 3, 2, 4, 0, 0, 1, 1, 0, 2, 4, 0, 3, 1, 0, 4, 3, 1, 4, 3, 1, 1, 1, 0, 1, 0, 0, 2, 2, 4, 3, 3, 0, 3, 0, 2, 1, 0, 4, 1, 1, 1, 3, 0, 0, 4, 1, 1, 3, 4, 3, 1, 2, 2, 3, 2, 4, 0, 1, 0, 2, 4, 3, 1, 3, 1, 1, 3, 0, 3, 1, 3, 1, 0, 3, 0, 1, 4, 2, 3, 0, 0, 0, 0, 2, 1, 0, 4, 0, 3, 3, 3, 0, 2, 4, 1, 0, 1, 1, 0, 4, 0, 0, 1, 2, 1, 2, 1, 3, 2, 2, 4, 3, 3, 4, 1, 3, 4, 3, 3, 3, 0, 0, 0, 1, 4, 1, 4, 4, 0, 1, 0, 4, 1, 4, 0, 0, 3, 2, 3, 1, 3, 0, 1, 3, 0, 0, 0, 4, 1, 4, 1, 3, 1, 2, 4, 3, 3, 2, 4, 1, 3, 0, 0, 3, 0, 0, 4, 4, 3, 1, 4, 2, 4, 2, 2, 2, 4, 2, 3, 0, 0, 0, 3, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 3, 2, 1, 0, 4, 2, 2, 4, 3, 4, 2, 4, 0, 3, 0, 1, 2, 3, 0, 2, 0, 3, 1, 3, 0, 1, 3, 0, 0, 2, 4, 0, 3, 1, 0, 1, 2, 2, 0, 0, 1, 4, 4, 2, 3, 0, 2, 1, 3, 2, 0, 4, 3, 2, 1, 1, 3, 1, 0, 3, 0, 3, 2, 0, 3, 2, 3, 1, 4, 4, 3, 4, 3, 0, 0, 1, 3, 4, 2, 1, 3, 2, 0, 1, 3, 2, 3, 2, 3, 3, 4, 2, 4, 2, 3, 3, 3, 3, 2, 0, 0, 1, 1, 0, 4, 1, 1, 0, 1, 3] pubkeycol1577 = [0, 1, 4, 2, 2, 4, 4, 1, 1, 2, 4, 0, 1, 0, 0, 3, 0, 3, 1, 3, 0, 2, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 0, 1, 3, 2, 3, 1, 3, 0, 1, 2, 0, 2, 2, 4, 2, 1, 3, 2, 1, 2, 0, 3, 0, 0, 1, 4, 1, 0, 1, 1, 4, 4, 3, 4, 3, 2, 1, 4, 3, 1, 1, 0, 0, 4, 1, 2, 4, 0, 3, 4, 2, 2, 0, 4, 2, 1, 4, 2, 2, 0, 2, 3, 4, 3, 2, 0, 1, 0, 3, 0, 0, 2, 0, 1, 3, 0, 0, 0, 1, 4, 4, 0, 2, 3, 2, 2, 0, 1, 1, 2, 1, 0, 3, 2, 2, 0, 0, 4, 0, 2, 3, 0, 1, 0, 2, 2, 2, 2, 2, 2, 4, 2, 3, 2, 4, 2, 0, 1, 2, 4, 4, 1, 4, 2, 2, 3, 2, 2, 2, 2, 0, 0, 1, 3, 1, 2, 0, 4, 1, 1, 2, 3, 0, 2, 3, 1, 0, 2, 0, 2, 3, 3, 2, 3, 1, 0, 4, 1, 3, 1, 3, 0, 4, 2, 0, 2, 2, 0, 3, 0, 2, 4, 2, 2, 2, 1, 1, 4, 2, 4, 0, 2, 3, 4, 4, 4, 4, 3, 0, 4, 3, 4, 0, 0, 1, 4, 4, 1, 2, 1, 2, 4, 1, 3, 3, 4, 2, 4, 3, 0, 0, 4, 4, 1, 0, 1, 2, 1, 3, 2, 0, 2, 0, 4, 3, 3, 4, 0, 3, 0, 2, 0, 3, 3, 1, 1, 2, 4, 1, 1, 0, 0, 3, 3, 4, 0, 1, 4, 1, 0, 0, 3, 0, 3, 4, 4, 4, 3, 4, 0, 1, 0, 4, 4, 0, 3, 2, 1, 2, 2, 2, 3, 0, 4, 0, 4, 2, 1, 4, 3, 1, 3, 1, 0, 4, 1, 3, 4, 1, 2, 2, 3, 3, 2, 1, 2, 4, 1, 0, 0, 1, 3, 1, 4, 4, 3, 1, 2, 4, 3, 0, 0, 2, 0, 4, 0, 0, 4, 1, 1, 1, 2, 0, 1, 4, 2, 2, 1, 2, 3, 1, 2, 0, 3, 2, 4, 4, 2, 4, 0, 3, 3, 2, 4, 4, 1, 2, 1, 0, 4, 1, 0, 0, 2, 1, 2, 0, 4, 1, 3, 4, 1, 1, 3, 1, 0, 1, 4, 4, 0, 4, 4, 4, 1, 0, 3, 0, 3, 3, 4, 2, 2, 4, 4, 3, 1, 2, 1, 4, 3, 0, 4, 3, 0, 4, 0, 4, 0, 3, 1, 0, 4, 1, 1, 3, 2, 3, 0, 2, 0, 0, 2, 1, 3, 4, 0, 2, 0, 4, 1, 0, 0, 2, 4, 2, 0, 0, 0, 2, 0, 1, 2, 4, 2, 0, 0, 3, 0, 1, 0, 3, 1, 2, 3, 3, 2, 2, 0] pubkeycol1578 = [4, 1, 3, 0, 3, 2, 0, 4, 0, 4, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 4, 1, 4, 0, 1, 4, 0, 0, 0, 1, 3, 2, 1, 4, 1, 1, 2, 0, 1, 1, 1, 3, 0, 0, 4, 2, 2, 4, 1, 2, 0, 0, 3, 2, 3, 2, 3, 0, 0, 0, 1, 0, 2, 0, 0, 1, 3, 2, 3, 2, 4, 3, 0, 1, 2, 3, 2, 3, 4, 4, 1, 1, 4, 4, 4, 3, 3, 3, 2, 1, 2, 4, 0, 4, 2, 4, 2, 2, 0, 4, 4, 0, 3, 3, 4, 0, 0, 4, 2, 0, 3, 3, 0, 3, 0, 1, 2, 4, 0, 1, 3, 2, 1, 3, 1, 3, 2, 4, 1, 0, 3, 3, 3, 2, 3, 4, 2, 4, 4, 1, 0, 1, 3, 3, 4, 2, 3, 4, 4, 4, 3, 1, 0, 4, 2, 0, 4, 4, 1, 1, 0, 3, 1, 3, 3, 4, 2, 4, 2, 1, 4, 2, 0, 3, 2, 1, 0, 3, 4, 3, 0, 0, 3, 4, 4, 1, 1, 0, 4, 3, 2, 4, 0, 2, 2, 4, 1, 4, 1, 3, 4, 3, 3, 1, 2, 4, 0, 2, 3, 0, 1, 0, 2, 4, 2, 2, 2, 2, 1, 0, 0, 3, 3, 0, 0, 0, 4, 2, 0, 0, 0, 1, 1, 2, 4, 0, 3, 4, 4, 1, 1, 2, 4, 4, 4, 3, 1, 0, 3, 2, 0, 2, 1, 4, 0, 4, 0, 0, 3, 1, 4, 1, 1, 3, 1, 1, 3, 4, 1, 4, 0, 2, 4, 0, 0, 1, 4, 4, 2, 4, 0, 4, 2, 4, 4, 4, 1, 4, 2, 1, 4, 3, 1, 1, 1, 4, 0, 0, 0, 3, 4, 0, 0, 0, 3, 2, 2, 1, 0, 2, 2, 4, 2, 0, 1, 3, 2, 3, 1, 4, 0, 1, 3, 4, 4, 3, 0, 4, 2, 3, 4, 4, 3, 1, 2, 1, 0, 3, 4, 0, 3, 0, 4, 3, 1, 3, 3, 1, 4, 0, 0, 4, 3, 3, 0, 4, 4, 3, 3, 0, 4, 2, 1, 1, 4, 4, 0, 0, 1, 2, 1, 4, 3, 1, 2, 2, 2, 1, 2, 0, 3, 0, 1, 3, 4, 2, 2, 4, 4, 2, 3, 0, 3, 4, 4, 0, 0, 0, 3, 1, 1, 0, 0, 4, 4, 1, 4, 2, 1, 0, 2, 1, 2, 4, 4, 1, 0, 3, 3, 0, 1, 2, 4, 3, 1, 3, 0, 4, 2, 2, 0, 2, 3, 1, 0, 4, 4, 0, 3, 1, 0, 1, 2, 3, 3, 0, 3, 4, 0, 4, 0, 1, 3, 0, 4, 0, 0, 2, 4, 4, 0, 1, 1, 4, 1, 4, 0, 1, 4, 2, 3, 4, 4, 4, 1, 4, 2, 3, 0, 4] pubkeycol1579 = [3, 2, 0, 2, 2, 1, 1, 4, 1, 0, 3, 3, 1, 1, 4, 4, 4, 0, 1, 4, 4, 3, 4, 4, 0, 3, 4, 1, 4, 0, 1, 4, 1, 1, 4, 3, 3, 2, 1, 3, 1, 4, 2, 0, 4, 2, 4, 3, 2, 2, 4, 4, 4, 1, 0, 0, 2, 0, 2, 4, 0, 4, 2, 4, 0, 2, 0, 2, 3, 1, 3, 4, 3, 0, 0, 1, 2, 1, 0, 4, 0, 1, 1, 2, 4, 3, 0, 0, 3, 3, 0, 1, 0, 2, 2, 1, 2, 0, 3, 4, 4, 3, 1, 4, 2, 0, 2, 3, 3, 4, 2, 1, 4, 4, 2, 0, 2, 3, 1, 4, 0, 3, 3, 3, 2, 1, 2, 1, 1, 3, 1, 2, 1, 0, 2, 1, 0, 4, 1, 3, 1, 0, 3, 0, 4, 3, 0, 2, 1, 3, 2, 3, 2, 1, 4, 1, 4, 1, 3, 0, 2, 0, 0, 0, 0, 4, 0, 2, 2, 0, 3, 2, 0, 4, 1, 0, 4, 3, 3, 0, 3, 1, 4, 4, 3, 1, 0, 0, 0, 2, 3, 1, 4, 1, 2, 4, 2, 4, 2, 1, 2, 1, 1, 3, 3, 3, 4, 4, 3, 4, 0, 3, 0, 2, 1, 2, 0, 0, 1, 4, 0, 3, 0, 0, 0, 2, 3, 1, 4, 0, 4, 0, 0, 3, 3, 2, 1, 1, 0, 2, 3, 2, 4, 2, 0, 3, 3, 1, 1, 4, 1, 0, 0, 3, 2, 2, 1, 3, 1, 2, 4, 0, 1, 1, 4, 0, 0, 0, 0, 4, 2, 1, 1, 2, 2, 0, 4, 4, 3, 2, 0, 1, 2, 0, 4, 0, 0, 3, 4, 2, 2, 2, 0, 2, 3, 4, 3, 1, 2, 0, 4, 1, 0, 2, 3, 0, 0, 2, 0, 4, 1, 3, 3, 1, 2, 3, 4, 3, 4, 3, 4, 2, 1, 0, 4, 3, 2, 3, 2, 2, 4, 1, 4, 1, 4, 0, 0, 4, 4, 4, 0, 2, 4, 2, 0, 4, 3, 0, 2, 3, 0, 2, 0, 2, 4, 0, 3, 2, 4, 4, 2, 3, 2, 3, 3, 4, 3, 3, 1, 1, 1, 4, 2, 1, 2, 3, 2, 0, 0, 2, 0, 3, 2, 0, 1, 0, 3, 4, 1, 2, 1, 3, 0, 0, 0, 4, 1, 2, 0, 0, 0, 0, 2, 2, 1, 4, 1, 1, 0, 1, 3, 1, 4, 2, 4, 2, 0, 4, 4, 2, 1, 2, 0, 3, 3, 1, 2, 0, 4, 4, 3, 2, 2, 0, 2, 0, 0, 3, 4, 1, 3, 0, 2, 0, 4, 1, 3, 4, 4, 0, 0, 2, 4, 3, 2, 4, 4, 1, 4, 2, 4, 3, 0, 4, 3, 1, 3, 1, 0, 2, 3, 3, 3, 0, 2, 0, 4, 3, 4, 1] pubkeycol1580 = [3, 0, 1, 2, 2, 1, 3, 2, 0, 1, 0, 1, 0, 4, 4, 0, 3, 2, 3, 3, 0, 1, 4, 0, 2, 2, 0, 4, 0, 4, 1, 1, 3, 2, 0, 2, 0, 4, 3, 4, 0, 2, 4, 1, 4, 4, 4, 1, 1, 4, 4, 0, 2, 1, 4, 4, 1, 2, 2, 3, 2, 4, 0, 2, 0, 4, 0, 0, 4, 4, 1, 4, 4, 2, 3, 0, 4, 0, 2, 4, 3, 1, 3, 3, 0, 3, 4, 1, 2, 4, 3, 1, 1, 3, 1, 4, 2, 3, 3, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 3, 1, 3, 2, 1, 1, 4, 2, 0, 0, 3, 3, 0, 0, 3, 1, 2, 4, 3, 0, 3, 2, 2, 0, 4, 3, 4, 0, 0, 2, 1, 2, 3, 1, 3, 0, 1, 1, 0, 4, 0, 2, 0, 0, 2, 4, 3, 1, 0, 4, 1, 2, 0, 1, 1, 1, 3, 4, 0, 2, 1, 0, 3, 4, 2, 3, 0, 2, 0, 4, 3, 0, 3, 3, 4, 1, 1, 3, 4, 0, 3, 4, 1, 4, 0, 2, 1, 1, 0, 3, 0, 2, 1, 0, 4, 4, 4, 3, 1, 2, 1, 3, 1, 3, 0, 4, 3, 4, 1, 4, 4, 1, 4, 2, 2, 1, 2, 3, 2, 1, 2, 2, 4, 3, 3, 0, 3, 2, 2, 2, 0, 3, 4, 1, 2, 1, 0, 3, 0, 4, 0, 3, 1, 2, 1, 4, 4, 4, 1, 3, 2, 3, 0, 2, 2, 1, 0, 2, 3, 3, 1, 4, 4, 1, 1, 4, 2, 3, 0, 2, 0, 2, 1, 0, 2, 2, 4, 3, 1, 4, 4, 0, 3, 0, 0, 1, 0, 2, 3, 1, 4, 1, 3, 0, 2, 1, 2, 4, 0, 0, 1, 1, 0, 2, 2, 0, 4, 1, 3, 1, 0, 1, 4, 1, 3, 4, 4, 3, 3, 0, 1, 3, 4, 4, 2, 2, 3, 3, 0, 4, 1, 3, 3, 0, 4, 2, 3, 1, 1, 3, 0, 0, 0, 0, 2, 0, 3, 0, 1, 0, 1, 0, 2, 0, 2, 0, 4, 2, 2, 0, 0, 2, 0, 4, 1, 1, 2, 4, 4, 1, 4, 3, 4, 2, 4, 1, 1, 2, 2, 2, 4, 1, 4, 2, 4, 0, 0, 3, 2, 3, 2, 2, 2, 3, 3, 0, 4, 1, 4, 0, 2, 2, 0, 2, 4, 4, 4, 0, 3, 0, 3, 3, 2, 2, 4, 3, 2, 1, 2, 3, 2, 1, 1, 0, 3, 4, 1, 0, 0, 2, 1, 1, 3, 3, 2, 4, 4, 0, 2, 2, 2, 4, 4, 2, 1, 4, 3, 3, 3, 3, 4, 4, 0, 2, 4, 0, 3, 3, 0, 2, 0, 0, 0, 2, 2, 0, 4, 3, 4, 1] pubkeycol1581 = [2, 4, 0, 4, 1, 0, 4, 0, 3, 3, 4, 3, 3, 1, 1, 3, 1, 3, 2, 1, 1, 4, 3, 3, 4, 2, 0, 4, 0, 4, 4, 4, 0, 0, 4, 3, 1, 0, 2, 4, 1, 0, 3, 4, 1, 0, 1, 3, 3, 3, 3, 0, 2, 1, 4, 4, 2, 3, 1, 0, 4, 2, 2, 4, 4, 4, 3, 1, 0, 3, 3, 0, 2, 0, 1, 1, 4, 1, 3, 1, 3, 4, 3, 1, 1, 1, 0, 0, 0, 0, 3, 0, 2, 2, 2, 2, 3, 1, 2, 2, 4, 0, 3, 0, 4, 0, 2, 0, 0, 4, 3, 2, 3, 1, 1, 1, 3, 4, 2, 4, 4, 3, 1, 1, 3, 2, 3, 0, 4, 2, 0, 4, 2, 0, 3, 3, 3, 4, 2, 3, 4, 1, 1, 4, 3, 4, 3, 4, 3, 1, 3, 0, 0, 0, 1, 3, 1, 0, 1, 2, 3, 1, 0, 4, 1, 1, 1, 2, 4, 3, 1, 4, 0, 3, 0, 2, 3, 2, 4, 4, 3, 0, 3, 3, 3, 4, 0, 4, 3, 0, 4, 4, 0, 3, 3, 2, 4, 4, 1, 1, 1, 1, 4, 3, 0, 2, 1, 2, 4, 3, 4, 1, 0, 0, 3, 4, 2, 3, 2, 2, 2, 4, 0, 4, 4, 4, 3, 0, 2, 1, 2, 2, 2, 3, 2, 0, 3, 3, 1, 4, 3, 4, 3, 0, 2, 4, 2, 0, 2, 3, 1, 4, 4, 1, 4, 4, 3, 1, 1, 4, 3, 0, 1, 3, 4, 0, 0, 1, 1, 4, 3, 0, 2, 3, 2, 2, 2, 2, 4, 2, 0, 1, 1, 0, 3, 4, 3, 4, 3, 1, 1, 4, 2, 3, 2, 1, 3, 1, 4, 2, 2, 2, 1, 0, 3, 4, 2, 3, 1, 1, 3, 4, 1, 1, 0, 4, 4, 3, 4, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 3, 4, 1, 2, 1, 4, 3, 0, 4, 1, 1, 2, 2, 0, 0, 4, 2, 4, 2, 1, 4, 2, 0, 2, 1, 1, 1, 1, 0, 4, 1, 3, 2, 3, 2, 3, 2, 1, 1, 4, 3, 0, 0, 4, 0, 2, 0, 0, 1, 4, 2, 4, 2, 4, 0, 0, 4, 0, 4, 4, 1, 1, 4, 4, 3, 1, 1, 1, 4, 0, 0, 4, 4, 2, 1, 1, 2, 4, 1, 3, 1, 4, 1, 4, 0, 4, 1, 0, 1, 2, 4, 1, 3, 2, 4, 3, 3, 0, 1, 0, 4, 0, 1, 4, 1, 2, 1, 0, 0, 0, 0, 4, 3, 0, 2, 3, 0, 0, 0, 4, 2, 0, 2, 0, 2, 4, 0, 2, 0, 2, 1, 2, 0, 2, 4, 3, 4, 0, 3, 3, 3, 4, 4, 4, 4, 3, 1, 1, 0, 3] pubkeycol1582 = [3, 0, 1, 1, 0, 3, 2, 1, 3, 0, 1, 1, 2, 2, 1, 0, 0, 3, 3, 2, 2, 1, 0, 1, 0, 1, 3, 2, 3, 1, 3, 3, 3, 1, 3, 2, 2, 2, 2, 4, 4, 3, 3, 2, 3, 2, 3, 1, 4, 1, 0, 0, 1, 3, 3, 0, 3, 4, 3, 2, 4, 2, 3, 0, 0, 1, 3, 3, 3, 4, 4, 2, 2, 3, 2, 3, 3, 0, 1, 1, 3, 0, 2, 2, 1, 4, 3, 4, 0, 3, 3, 2, 0, 4, 1, 3, 4, 0, 2, 2, 2, 3, 1, 0, 3, 3, 4, 1, 3, 4, 2, 0, 4, 2, 1, 4, 1, 1, 3, 1, 3, 0, 2, 0, 0, 0, 4, 2, 0, 4, 3, 3, 1, 2, 2, 0, 4, 4, 0, 1, 1, 1, 3, 1, 1, 1, 2, 3, 3, 3, 2, 2, 0, 0, 2, 2, 2, 3, 2, 4, 4, 2, 2, 4, 0, 2, 2, 1, 4, 4, 4, 2, 3, 2, 2, 2, 3, 3, 3, 0, 1, 3, 0, 4, 3, 2, 0, 1, 3, 3, 2, 0, 4, 0, 1, 1, 3, 4, 3, 2, 1, 2, 2, 4, 0, 2, 2, 0, 1, 4, 0, 3, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 4, 3, 1, 4, 2, 3, 4, 3, 0, 2, 1, 1, 4, 1, 0, 0, 0, 4, 1, 3, 0, 1, 0, 3, 4, 2, 1, 0, 0, 3, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 4, 4, 0, 2, 4, 2, 0, 1, 4, 4, 2, 3, 0, 3, 4, 3, 2, 3, 4, 0, 0, 0, 1, 3, 2, 3, 1, 1, 4, 2, 2, 2, 4, 2, 0, 2, 0, 2, 3, 1, 4, 3, 3, 1, 2, 0, 1, 3, 1, 1, 1, 4, 4, 0, 4, 1, 0, 4, 3, 2, 2, 0, 2, 3, 2, 3, 1, 2, 2, 4, 1, 4, 0, 3, 1, 4, 3, 1, 0, 1, 4, 0, 0, 1, 4, 0, 0, 2, 2, 0, 4, 3, 2, 2, 4, 4, 2, 0, 4, 1, 1, 0, 4, 2, 2, 2, 3, 4, 1, 0, 3, 4, 4, 0, 3, 0, 0, 1, 3, 0, 0, 2, 1, 3, 4, 4, 0, 3, 0, 3, 4, 3, 4, 1, 0, 0, 1, 0, 4, 4, 1, 1, 1, 0, 0, 4, 1, 3, 1, 2, 2, 3, 3, 3, 2, 3, 4, 2, 0, 0, 3, 1, 2, 4, 3, 0, 0, 4, 2, 1, 2, 4, 3, 0, 2, 0, 1, 0, 1, 4, 0, 0, 4, 2, 2, 4, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 4, 4, 0, 4, 2, 1, 4, 1, 0, 0, 0, 2, 2, 1, 2, 1, 3, 0, 2, 3] pubkeycol1583 = [3, 2, 4, 0, 3, 1, 4, 2, 4, 4, 4, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 3, 3, 3, 1, 3, 1, 4, 0, 3, 2, 1, 3, 3, 4, 3, 1, 0, 1, 4, 4, 2, 1, 1, 3, 0, 3, 3, 0, 4, 4, 4, 3, 4, 2, 4, 3, 4, 0, 0, 4, 0, 4, 3, 3, 3, 4, 1, 1, 2, 3, 0, 4, 3, 3, 4, 4, 4, 2, 0, 1, 3, 3, 0, 1, 2, 2, 1, 3, 1, 3, 4, 3, 3, 2, 0, 0, 4, 2, 0, 4, 2, 1, 3, 2, 0, 2, 3, 0, 4, 3, 1, 2, 0, 4, 1, 1, 2, 4, 1, 0, 2, 2, 1, 3, 1, 1, 3, 4, 4, 0, 1, 1, 0, 2, 2, 4, 3, 2, 3, 4, 4, 2, 2, 0, 3, 1, 3, 1, 3, 0, 2, 2, 0, 0, 0, 2, 4, 0, 1, 2, 0, 0, 0, 1, 3, 4, 2, 1, 2, 1, 4, 4, 2, 2, 0, 2, 3, 2, 0, 1, 0, 2, 2, 3, 3, 2, 2, 1, 4, 4, 4, 3, 4, 3, 2, 3, 4, 3, 4, 0, 1, 3, 3, 4, 2, 4, 1, 0, 2, 3, 3, 4, 2, 2, 1, 4, 1, 1, 1, 1, 0, 0, 4, 4, 1, 3, 2, 3, 4, 3, 3, 1, 3, 3, 3, 4, 2, 3, 2, 0, 0, 3, 0, 3, 0, 0, 3, 4, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 4, 1, 2, 2, 1, 4, 0, 3, 4, 0, 2, 2, 0, 1, 1, 4, 4, 2, 3, 2, 3, 2, 0, 4, 2, 2, 3, 4, 2, 2, 3, 1, 0, 0, 0, 4, 4, 1, 0, 0, 3, 3, 1, 4, 2, 0, 0, 3, 2, 1, 0, 0, 2, 4, 1, 1, 0, 4, 1, 4, 3, 0, 1, 2, 3, 2, 2, 0, 4, 0, 4, 3, 4, 2, 3, 4, 4, 2, 3, 1, 3, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 4, 3, 1, 0, 0, 1, 3, 3, 4, 3, 0, 0, 1, 0, 1, 1, 4, 3, 3, 2, 2, 1, 4, 4, 3, 3, 4, 2, 2, 3, 2, 1, 0, 4, 1, 1, 4, 2, 4, 2, 1, 1, 0, 3, 2, 4, 0, 1, 0, 3, 2, 0, 2, 0, 1, 2, 4, 4, 4, 3, 1, 1, 4, 0, 2, 4, 1, 1, 2, 4, 4, 2, 2, 0, 1, 4, 3, 0, 4, 2, 1, 3, 1, 2, 1, 2, 1, 0, 2, 4, 0, 2, 0, 3, 4, 0, 2, 0, 0, 3, 2, 3, 3, 4, 2, 3, 0, 1, 0, 1, 3, 0, 2, 2, 4, 2, 2, 2] pubkeycol1584 = [0, 4, 0, 1, 3, 2, 3, 0, 1, 0, 0, 0, 0, 1, 1, 3, 2, 3, 1, 1, 1, 0, 1, 0, 2, 2, 3, 4, 4, 1, 4, 4, 4, 1, 2, 3, 1, 0, 1, 4, 2, 3, 1, 3, 4, 2, 0, 2, 3, 2, 4, 2, 4, 3, 2, 0, 4, 0, 1, 0, 0, 3, 0, 1, 2, 2, 1, 1, 0, 1, 3, 1, 1, 3, 0, 3, 4, 3, 0, 3, 2, 0, 1, 0, 3, 0, 1, 3, 0, 4, 0, 2, 4, 3, 4, 4, 0, 0, 1, 4, 2, 1, 0, 1, 3, 4, 4, 4, 1, 2, 3, 2, 0, 2, 2, 4, 4, 1, 4, 1, 4, 4, 2, 2, 0, 4, 1, 0, 2, 1, 4, 0, 3, 4, 4, 4, 2, 1, 4, 0, 0, 2, 3, 0, 4, 3, 4, 4, 3, 4, 4, 1, 4, 0, 3, 0, 3, 2, 3, 2, 2, 2, 0, 3, 2, 1, 2, 1, 2, 3, 3, 3, 0, 3, 1, 3, 4, 3, 3, 1, 3, 3, 2, 0, 4, 1, 0, 0, 3, 2, 1, 0, 0, 0, 1, 3, 0, 3, 1, 4, 2, 0, 3, 1, 1, 1, 3, 4, 2, 3, 4, 2, 4, 4, 1, 1, 1, 4, 4, 2, 4, 0, 0, 3, 1, 4, 1, 0, 3, 1, 0, 2, 0, 1, 1, 4, 2, 0, 1, 0, 3, 4, 3, 4, 3, 0, 0, 4, 2, 1, 0, 0, 2, 2, 1, 3, 2, 3, 0, 0, 0, 4, 1, 1, 3, 1, 3, 1, 4, 4, 1, 0, 0, 0, 3, 3, 0, 3, 1, 1, 4, 1, 4, 1, 1, 0, 4, 1, 4, 0, 1, 3, 4, 0, 0, 1, 2, 3, 3, 0, 2, 2, 0, 3, 4, 2, 2, 0, 3, 2, 0, 3, 1, 2, 2, 0, 3, 0, 3, 4, 1, 2, 0, 3, 2, 1, 4, 3, 3, 1, 1, 1, 0, 0, 0, 3, 4, 1, 4, 1, 3, 4, 0, 1, 3, 4, 3, 0, 0, 3, 2, 1, 3, 1, 4, 0, 3, 1, 2, 1, 4, 3, 1, 0, 0, 2, 1, 2, 3, 4, 2, 3, 2, 0, 4, 0, 0, 2, 2, 2, 1, 3, 2, 3, 0, 1, 1, 3, 3, 3, 3, 0, 2, 0, 3, 4, 0, 3, 2, 0, 3, 4, 1, 0, 3, 4, 1, 2, 1, 0, 1, 0, 3, 0, 4, 4, 4, 3, 0, 0, 0, 1, 2, 0, 3, 2, 1, 2, 2, 4, 4, 0, 3, 0, 1, 2, 2, 2, 4, 2, 2, 1, 4, 2, 3, 2, 3, 1, 2, 2, 0, 3, 3, 3, 2, 1, 2, 4, 3, 0, 2, 2, 4, 4, 1, 4, 1, 0, 0, 3, 0, 2, 4, 4, 4, 0, 2, 4, 2, 0] pubkeycol1585 = [3, 3, 3, 1, 0, 4, 1, 1, 0, 0, 3, 3, 0, 1, 4, 2, 4, 3, 3, 0, 2, 3, 2, 4, 1, 2, 2, 0, 2, 0, 4, 1, 0, 2, 2, 2, 3, 0, 2, 2, 3, 1, 2, 1, 3, 2, 1, 4, 4, 1, 3, 2, 2, 0, 3, 3, 1, 0, 0, 0, 2, 2, 0, 3, 0, 3, 0, 2, 0, 0, 4, 4, 1, 3, 1, 4, 0, 3, 3, 1, 4, 4, 3, 2, 4, 0, 4, 2, 1, 4, 2, 1, 2, 4, 0, 1, 3, 2, 4, 1, 3, 4, 4, 2, 3, 4, 0, 2, 2, 2, 3, 0, 1, 4, 1, 2, 1, 1, 0, 0, 3, 0, 3, 4, 3, 2, 0, 0, 1, 1, 3, 3, 3, 3, 1, 3, 3, 0, 3, 0, 0, 2, 4, 4, 2, 4, 4, 1, 1, 1, 0, 0, 2, 1, 1, 3, 0, 3, 2, 3, 3, 4, 0, 0, 1, 2, 4, 1, 0, 2, 1, 3, 3, 1, 1, 3, 2, 1, 2, 4, 0, 4, 1, 0, 0, 3, 1, 0, 0, 2, 2, 0, 2, 0, 1, 3, 2, 0, 4, 4, 2, 1, 0, 3, 0, 1, 3, 3, 4, 4, 3, 1, 4, 4, 1, 4, 2, 1, 0, 1, 1, 3, 4, 0, 1, 3, 4, 0, 0, 1, 4, 2, 2, 3, 0, 3, 3, 2, 2, 3, 3, 4, 2, 1, 4, 0, 3, 3, 2, 0, 0, 2, 4, 0, 4, 2, 2, 4, 2, 3, 2, 4, 4, 3, 1, 0, 3, 4, 4, 0, 1, 2, 0, 4, 3, 0, 1, 0, 0, 1, 0, 1, 4, 4, 1, 3, 0, 4, 4, 2, 4, 4, 1, 2, 3, 1, 0, 3, 4, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 4, 3, 1, 1, 2, 4, 0, 0, 1, 1, 0, 1, 1, 1, 0, 4, 0, 3, 1, 0, 4, 1, 1, 4, 3, 0, 4, 4, 3, 2, 4, 1, 2, 2, 2, 3, 0, 2, 3, 0, 1, 0, 0, 4, 1, 1, 1, 0, 4, 4, 3, 4, 3, 0, 3, 1, 3, 2, 2, 1, 4, 4, 2, 4, 3, 3, 4, 3, 4, 3, 1, 0, 0, 3, 1, 3, 3, 2, 3, 1, 2, 1, 3, 2, 0, 2, 0, 0, 3, 0, 0, 2, 2, 1, 2, 4, 1, 2, 2, 2, 3, 1, 2, 3, 3, 3, 1, 0, 4, 4, 3, 1, 4, 2, 1, 1, 2, 3, 4, 1, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 3, 2, 0, 2, 2, 1, 0, 2, 0, 0, 3, 1, 0, 0, 3, 4, 3, 2, 3, 1, 2, 1, 4, 4, 3, 0, 0, 3, 1] pubkeycol1586 = [1, 1, 2, 3, 3, 0, 3, 3, 2, 2, 1, 3, 1, 0, 1, 3, 4, 3, 0, 1, 1, 1, 4, 3, 4, 4, 0, 1, 1, 1, 4, 2, 0, 0, 0, 3, 1, 1, 4, 1, 4, 1, 4, 4, 4, 3, 1, 4, 2, 0, 2, 3, 4, 2, 4, 1, 2, 0, 2, 4, 4, 4, 4, 1, 0, 2, 4, 0, 1, 1, 3, 2, 3, 1, 3, 1, 1, 3, 1, 1, 4, 3, 2, 2, 2, 4, 2, 3, 4, 0, 0, 2, 1, 1, 4, 3, 3, 4, 4, 4, 0, 3, 3, 1, 4, 3, 1, 0, 0, 4, 4, 1, 0, 2, 4, 3, 3, 2, 0, 4, 3, 2, 3, 2, 0, 3, 0, 2, 3, 0, 1, 0, 3, 2, 3, 0, 1, 0, 0, 4, 4, 0, 0, 1, 2, 3, 4, 4, 0, 4, 2, 4, 1, 1, 1, 1, 3, 1, 4, 4, 3, 0, 4, 0, 0, 3, 0, 2, 2, 0, 3, 3, 1, 1, 1, 3, 1, 1, 3, 4, 1, 1, 3, 2, 3, 1, 0, 0, 4, 1, 1, 1, 2, 3, 3, 2, 0, 1, 0, 3, 0, 3, 2, 1, 2, 2, 0, 1, 0, 2, 3, 4, 0, 3, 0, 4, 0, 1, 2, 0, 4, 0, 0, 4, 1, 1, 2, 2, 2, 3, 1, 3, 3, 4, 3, 4, 2, 4, 3, 3, 1, 3, 1, 3, 3, 4, 1, 0, 4, 4, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 0, 0, 1, 0, 4, 2, 0, 3, 1, 3, 0, 1, 0, 1, 0, 3, 4, 2, 1, 4, 0, 0, 0, 4, 3, 1, 4, 0, 3, 2, 4, 3, 4, 1, 2, 1, 4, 3, 2, 2, 3, 4, 0, 1, 3, 0, 3, 0, 3, 3, 2, 1, 0, 4, 4, 1, 0, 2, 2, 2, 3, 1, 3, 3, 2, 0, 3, 0, 2, 3, 2, 4, 2, 3, 3, 3, 0, 1, 3, 2, 0, 2, 1, 2, 4, 0, 3, 4, 3, 2, 1, 0, 3, 3, 2, 1, 3, 4, 2, 1, 3, 4, 2, 1, 0, 1, 4, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 3, 4, 4, 4, 2, 3, 0, 4, 2, 4, 2, 1, 1, 2, 0, 3, 1, 4, 0, 4, 1, 2, 1, 3, 2, 2, 4, 4, 1, 4, 1, 0, 2, 1, 0, 4, 2, 1, 2, 2, 0, 1, 0, 4, 3, 4, 1, 4, 4, 2, 0, 1, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 4, 3, 1, 2, 0, 1, 2, 3, 0, 3, 4, 4, 0, 3, 4, 2, 3, 4, 4, 2, 4, 4, 2, 4, 3, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2] pubkeycol1587 = [4, 4, 3, 1, 1, 1, 3, 2, 2, 4, 4, 3, 0, 1, 0, 1, 0, 1, 4, 2, 3, 2, 4, 3, 1, 4, 4, 4, 0, 1, 1, 1, 2, 4, 0, 2, 1, 2, 2, 3, 0, 2, 1, 3, 1, 0, 4, 0, 3, 2, 1, 0, 4, 4, 3, 3, 2, 1, 4, 2, 0, 2, 0, 2, 2, 4, 4, 1, 1, 4, 0, 0, 0, 4, 3, 0, 3, 3, 3, 2, 2, 1, 1, 1, 0, 1, 3, 1, 0, 0, 4, 3, 0, 3, 0, 3, 0, 2, 2, 3, 2, 1, 2, 1, 1, 1, 3, 1, 1, 2, 3, 2, 4, 3, 3, 2, 1, 2, 2, 1, 4, 3, 4, 1, 1, 1, 0, 0, 2, 4, 3, 3, 1, 4, 3, 2, 0, 0, 1, 1, 3, 4, 4, 4, 2, 1, 0, 1, 3, 4, 0, 0, 2, 0, 1, 1, 3, 4, 2, 1, 4, 0, 3, 2, 0, 3, 0, 1, 3, 0, 0, 2, 3, 3, 2, 0, 4, 0, 0, 1, 2, 3, 0, 1, 4, 2, 1, 2, 4, 3, 0, 2, 3, 0, 1, 3, 4, 3, 3, 4, 0, 0, 2, 0, 0, 1, 3, 1, 0, 1, 2, 3, 0, 4, 1, 1, 0, 2, 2, 3, 2, 4, 0, 4, 1, 1, 0, 0, 3, 1, 1, 0, 0, 0, 1, 2, 4, 3, 0, 1, 2, 3, 1, 4, 4, 0, 0, 0, 3, 4, 3, 0, 2, 2, 1, 3, 3, 0, 4, 4, 0, 2, 1, 3, 4, 1, 0, 4, 3, 1, 0, 1, 4, 4, 1, 3, 2, 3, 4, 3, 2, 0, 0, 3, 3, 1, 4, 0, 0, 2, 2, 4, 3, 2, 3, 0, 4, 1, 3, 3, 4, 1, 0, 0, 3, 4, 1, 1, 4, 4, 2, 3, 1, 0, 2, 1, 4, 1, 4, 4, 1, 4, 2, 4, 4, 0, 2, 1, 2, 2, 2, 3, 4, 0, 0, 4, 2, 2, 2, 2, 4, 0, 0, 4, 2, 1, 2, 2, 4, 3, 4, 4, 1, 0, 0, 3, 1, 1, 3, 2, 0, 3, 0, 3, 2, 4, 1, 4, 0, 1, 0, 0, 2, 4, 2, 3, 1, 3, 0, 1, 4, 3, 2, 4, 0, 3, 2, 1, 2, 2, 4, 2, 1, 2, 0, 4, 3, 4, 1, 3, 1, 2, 3, 4, 1, 1, 2, 1, 4, 3, 3, 3, 0, 3, 0, 4, 4, 0, 2, 3, 4, 2, 4, 1, 2, 0, 3, 4, 4, 1, 1, 4, 1, 0, 2, 4, 2, 1, 2, 0, 0, 0, 2, 0, 2, 3, 2, 1, 4, 0, 1, 3, 1, 3, 2, 0, 3, 3, 3, 2, 4, 1, 4, 1, 3, 0, 1, 4, 2, 1, 0, 4, 1, 4, 0, 1, 0, 4, 1, 1] pubkeycol1588 = [1, 1, 4, 3, 1, 2, 0, 0, 1, 2, 0, 3, 2, 1, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 0, 1, 0, 4, 3, 0, 0, 4, 3, 0, 0, 1, 4, 1, 1, 4, 0, 0, 2, 3, 4, 2, 0, 3, 1, 2, 2, 1, 0, 2, 1, 1, 3, 1, 2, 4, 0, 1, 2, 2, 2, 1, 2, 4, 2, 2, 4, 4, 2, 4, 4, 0, 0, 3, 2, 4, 4, 3, 0, 4, 4, 4, 2, 1, 4, 4, 1, 3, 2, 3, 3, 1, 2, 0, 1, 2, 3, 3, 3, 2, 2, 0, 1, 2, 3, 3, 1, 1, 1, 4, 0, 1, 1, 3, 1, 1, 4, 4, 0, 0, 1, 4, 0, 3, 2, 2, 4, 4, 3, 3, 0, 4, 3, 3, 4, 1, 3, 1, 1, 2, 1, 4, 1, 4, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 4, 1, 3, 3, 3, 3, 2, 3, 1, 4, 2, 1, 4, 4, 3, 0, 3, 0, 3, 4, 1, 3, 4, 3, 4, 0, 0, 0, 1, 3, 0, 0, 2, 4, 0, 2, 1, 4, 4, 4, 1, 4, 2, 1, 4, 4, 4, 3, 0, 1, 4, 3, 0, 3, 3, 4, 1, 2, 1, 0, 1, 2, 4, 1, 4, 2, 4, 0, 1, 1, 2, 3, 0, 1, 2, 3, 0, 0, 3, 3, 2, 1, 3, 2, 1, 0, 1, 3, 3, 4, 4, 0, 0, 2, 2, 1, 2, 2, 3, 4, 1, 2, 0, 1, 0, 2, 0, 0, 2, 3, 3, 3, 4, 2, 2, 0, 3, 3, 4, 0, 2, 1, 4, 2, 0, 2, 2, 3, 0, 4, 2, 1, 1, 2, 3, 2, 3, 3, 3, 1, 3, 0, 3, 4, 1, 0, 3, 1, 3, 4, 0, 4, 3, 2, 3, 3, 1, 2, 1, 1, 1, 0, 3, 3, 1, 2, 2, 0, 2, 1, 4, 3, 0, 4, 3, 3, 4, 4, 3, 0, 1, 1, 4, 2, 2, 1, 1, 4, 1, 4, 1, 3, 2, 0, 1, 3, 2, 1, 2, 0, 2, 4, 0, 4, 1, 2, 1, 4, 1, 3, 0, 1, 1, 0, 4, 2, 2, 3, 3, 0, 0, 4, 1, 3, 2, 3, 4, 4, 1, 4, 2, 0, 3, 3, 2, 0, 4, 0, 0, 1, 0, 4, 4, 4, 1, 4, 4, 4, 1, 0, 3, 4, 4, 1, 1, 3, 0, 2, 2, 3, 4, 1, 4, 1, 0, 0, 1, 4, 0, 0, 0, 2, 0, 1, 1, 4, 0, 2, 2, 3, 4, 0, 3, 4, 1, 0, 4, 0, 1, 2, 3, 4, 3, 4, 0, 3, 4, 2, 4, 0, 0, 0, 3, 3, 4, 3, 1, 0, 4, 2, 2, 2, 4, 3, 4, 0, 0, 2, 2, 4, 3] pubkeycol1589 = [1, 2, 1, 4, 3, 4, 2, 4, 1, 0, 0, 3, 3, 0, 2, 1, 2, 1, 2, 2, 0, 4, 3, 3, 0, 4, 4, 3, 1, 0, 4, 4, 3, 4, 4, 2, 4, 4, 0, 4, 0, 1, 1, 1, 1, 3, 0, 0, 0, 4, 4, 3, 2, 4, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 4, 1, 2, 3, 3, 2, 3, 4, 0, 4, 0, 2, 3, 2, 0, 2, 3, 2, 1, 1, 2, 1, 4, 3, 3, 3, 1, 0, 4, 2, 4, 0, 3, 3, 1, 2, 1, 0, 1, 1, 0, 0, 4, 1, 2, 4, 2, 1, 3, 2, 1, 3, 4, 4, 0, 4, 1, 4, 3, 0, 0, 4, 4, 2, 0, 2, 0, 1, 2, 4, 1, 3, 1, 4, 3, 4, 2, 0, 3, 1, 2, 4, 0, 1, 4, 1, 1, 3, 1, 1, 4, 0, 2, 1, 3, 2, 0, 2, 4, 2, 2, 1, 3, 2, 4, 0, 4, 4, 2, 4, 1, 3, 1, 2, 1, 0, 2, 4, 4, 2, 4, 2, 0, 1, 3, 1, 3, 4, 0, 2, 3, 0, 0, 1, 1, 1, 1, 3, 2, 0, 2, 3, 3, 2, 4, 3, 3, 3, 0, 3, 4, 1, 2, 0, 0, 0, 3, 0, 0, 1, 2, 4, 0, 4, 1, 1, 4, 4, 2, 4, 3, 3, 0, 3, 1, 0, 3, 4, 0, 0, 3, 2, 0, 3, 4, 4, 2, 1, 2, 0, 1, 3, 3, 4, 1, 2, 1, 4, 2, 2, 2, 1, 4, 2, 4, 0, 4, 3, 4, 0, 2, 2, 4, 4, 4, 3, 2, 4, 3, 2, 0, 4, 4, 0, 1, 1, 3, 2, 4, 4, 1, 4, 0, 1, 1, 1, 1, 0, 1, 2, 0, 4, 3, 3, 1, 1, 0, 2, 4, 2, 4, 3, 1, 4, 3, 4, 1, 0, 1, 1, 3, 3, 2, 2, 1, 3, 3, 2, 4, 3, 2, 3, 4, 4, 1, 4, 3, 4, 3, 0, 3, 4, 2, 3, 4, 2, 3, 1, 2, 1, 2, 4, 3, 0, 1, 0, 3, 3, 4, 4, 2, 0, 3, 0, 0, 3, 0, 4, 4, 4, 3, 3, 1, 2, 1, 2, 0, 4, 1, 4, 0, 2, 4, 4, 1, 3, 4, 3, 1, 2, 3, 1, 2, 4, 4, 4, 1, 3, 4, 1, 1, 3, 1, 1, 0, 4, 0, 4, 4, 4, 3, 2, 0, 3, 3, 2, 3, 3, 2, 2, 0, 1, 0, 3, 3, 1, 4, 4, 4, 1, 0, 0, 0, 2, 2, 0, 4, 0, 0, 1, 3, 4, 2, 3, 4, 3, 3, 2, 0, 2, 0, 2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 1, 0, 2, 0, 4, 2, 2, 4, 4, 4, 3, 3, 1, 3] pubkeycol1590 = [3, 1, 3, 3, 3, 1, 4, 1, 1, 3, 2, 2, 0, 4, 2, 2, 4, 3, 2, 0, 1, 1, 1, 4, 4, 3, 2, 3, 0, 1, 3, 2, 4, 4, 3, 0, 1, 2, 1, 4, 0, 0, 2, 0, 4, 2, 0, 2, 3, 1, 0, 4, 0, 0, 0, 0, 4, 2, 4, 0, 3, 2, 3, 0, 2, 1, 1, 1, 4, 0, 1, 0, 1, 2, 0, 3, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 0, 0, 3, 0, 4, 1, 4, 2, 4, 4, 1, 2, 4, 4, 1, 1, 4, 4, 2, 4, 3, 1, 1, 4, 0, 2, 0, 4, 3, 2, 1, 3, 1, 2, 3, 1, 2, 4, 2, 4, 2, 3, 2, 0, 0, 2, 3, 0, 0, 1, 4, 1, 3, 2, 0, 2, 2, 0, 1, 3, 4, 2, 4, 2, 1, 4, 1, 2, 3, 1, 2, 1, 1, 4, 2, 4, 1, 0, 1, 3, 1, 0, 2, 1, 4, 1, 3, 0, 2, 0, 1, 3, 4, 1, 2, 1, 3, 1, 0, 3, 3, 0, 2, 4, 4, 1, 4, 2, 4, 1, 4, 2, 4, 0, 2, 2, 4, 2, 0, 1, 4, 1, 2, 0, 4, 0, 4, 3, 4, 1, 0, 2, 4, 0, 0, 2, 3, 2, 2, 0, 4, 0, 3, 0, 2, 4, 2, 1, 0, 1, 2, 0, 4, 2, 3, 1, 4, 0, 0, 1, 2, 3, 2, 4, 3, 1, 2, 4, 2, 1, 2, 4, 1, 4, 4, 2, 1, 2, 3, 0, 4, 2, 3, 4, 3, 3, 0, 1, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 4, 4, 4, 1, 2, 0, 1, 4, 2, 0, 2, 3, 0, 3, 0, 0, 0, 0, 1, 2, 0, 2, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 2, 2, 3, 1, 3, 0, 0, 1, 4, 3, 3, 3, 2, 4, 2, 1, 4, 2, 4, 0, 0, 0, 3, 0, 1, 0, 2, 3, 3, 2, 2, 0, 0, 3, 4, 4, 3, 2, 4, 1, 1, 3, 4, 3, 0, 3, 2, 2, 0, 3, 1, 2, 4, 0, 2, 4, 0, 0, 1, 0, 3, 3, 4, 3, 2, 0, 4, 1, 1, 3, 4, 2, 4, 1, 3, 0, 1, 0, 2, 2, 0, 2, 3, 3, 1, 3, 1, 0, 2, 3, 0, 0, 4, 2, 1, 0, 0, 1, 0, 1, 0, 3, 0, 4, 1, 1, 3, 4, 1, 1, 1, 1, 2, 3, 0, 2, 1, 3, 2, 4, 2, 1, 0, 4, 3, 4, 4, 2, 3, 1, 4, 1, 1, 3, 2, 3, 4, 1, 0, 0, 2, 4, 1, 1, 3, 3, 3, 1, 3, 2, 2, 3, 1, 3, 1, 3, 4, 0, 1, 0, 3, 4, 0] pubkeycol1591 = [4, 3, 4, 4, 0, 3, 1, 4, 2, 4, 4, 0, 0, 2, 3, 3, 3, 3, 0, 1, 1, 4, 0, 4, 2, 2, 2, 1, 4, 4, 3, 3, 0, 1, 2, 4, 3, 3, 0, 2, 4, 1, 4, 4, 4, 0, 3, 0, 4, 0, 0, 2, 0, 0, 2, 4, 3, 0, 4, 2, 1, 4, 3, 4, 4, 3, 2, 3, 2, 3, 1, 2, 2, 3, 4, 2, 2, 4, 0, 3, 4, 2, 0, 4, 3, 2, 1, 3, 1, 2, 2, 0, 0, 0, 2, 2, 3, 2, 0, 1, 3, 0, 4, 3, 1, 0, 0, 2, 3, 1, 2, 3, 0, 1, 0, 4, 1, 4, 4, 4, 0, 0, 1, 2, 4, 1, 4, 3, 1, 3, 0, 1, 1, 4, 2, 2, 3, 2, 3, 1, 1, 0, 4, 1, 2, 4, 3, 3, 3, 1, 4, 1, 3, 1, 3, 1, 1, 1, 3, 4, 0, 0, 3, 4, 0, 3, 2, 0, 0, 3, 3, 1, 1, 2, 3, 3, 2, 4, 1, 2, 4, 0, 4, 4, 1, 4, 1, 1, 1, 1, 2, 3, 4, 0, 2, 1, 3, 4, 3, 0, 0, 4, 4, 3, 2, 0, 2, 3, 1, 1, 2, 3, 3, 4, 2, 0, 3, 3, 3, 4, 1, 2, 4, 1, 0, 0, 4, 0, 4, 2, 0, 3, 3, 1, 3, 0, 0, 1, 4, 1, 4, 2, 3, 3, 2, 1, 4, 0, 4, 2, 0, 3, 4, 1, 4, 1, 4, 1, 2, 2, 4, 4, 3, 3, 2, 3, 3, 2, 3, 0, 1, 0, 3, 4, 0, 2, 0, 1, 3, 3, 0, 3, 3, 0, 1, 0, 2, 2, 4, 0, 4, 0, 2, 4, 0, 2, 2, 1, 1, 3, 3, 1, 0, 2, 4, 4, 4, 2, 4, 3, 4, 4, 2, 3, 3, 3, 2, 2, 3, 4, 2, 2, 2, 3, 4, 3, 3, 2, 4, 3, 4, 4, 1, 4, 0, 2, 4, 2, 3, 2, 2, 0, 2, 4, 4, 3, 1, 4, 1, 3, 1, 1, 3, 0, 0, 1, 3, 4, 2, 4, 4, 2, 4, 3, 2, 2, 3, 4, 0, 1, 4, 4, 3, 0, 2, 1, 2, 1, 0, 0, 3, 4, 2, 3, 2, 0, 4, 4, 3, 3, 1, 4, 2, 4, 2, 1, 0, 0, 1, 1, 1, 2, 2, 4, 4, 4, 2, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 4, 4, 4, 4, 0, 1, 3, 3, 0, 0, 0, 0, 4, 0, 4, 4, 4, 2, 4, 1, 0, 4, 2, 4, 4, 2, 1, 2, 2, 3, 0, 4, 3, 1, 3, 2, 0, 4, 4, 3, 4, 3, 2, 3, 1, 3, 1, 3, 3, 4, 4, 4, 3, 1, 3, 1, 2, 0, 2, 2, 0] pubkeycol1592 = [1, 2, 0, 2, 3, 2, 0, 3, 0, 1, 1, 4, 3, 1, 0, 0, 4, 2, 1, 0, 1, 3, 0, 3, 1, 2, 2, 0, 3, 2, 4, 1, 0, 0, 1, 0, 2, 2, 2, 4, 0, 2, 1, 4, 2, 3, 0, 2, 1, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 0, 4, 4, 4, 4, 2, 4, 0, 3, 4, 2, 4, 4, 4, 0, 2, 3, 1, 1, 1, 2, 2, 2, 4, 3, 3, 0, 3, 3, 0, 1, 0, 2, 1, 4, 2, 3, 2, 0, 4, 3, 1, 4, 0, 0, 3, 4, 1, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 2, 4, 1, 3, 1, 0, 0, 2, 0, 0, 0, 4, 3, 2, 3, 1, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 0, 0, 4, 3, 4, 0, 4, 3, 4, 3, 4, 0, 1, 4, 0, 3, 1, 1, 4, 3, 3, 2, 4, 3, 1, 3, 2, 4, 0, 3, 3, 3, 1, 4, 3, 4, 4, 4, 1, 2, 2, 3, 0, 3, 2, 3, 0, 4, 3, 2, 3, 1, 2, 4, 1, 3, 1, 1, 0, 3, 2, 1, 3, 0, 0, 3, 4, 0, 2, 2, 0, 1, 4, 1, 0, 2, 4, 4, 1, 2, 3, 3, 1, 4, 4, 0, 2, 3, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 4, 2, 4, 1, 4, 3, 4, 0, 2, 1, 4, 3, 3, 4, 0, 1, 4, 2, 3, 2, 1, 3, 2, 0, 4, 4, 0, 1, 2, 0, 0, 3, 0, 2, 0, 0, 4, 2, 0, 1, 2, 2, 2, 0, 2, 4, 4, 2, 0, 0, 1, 1, 4, 0, 0, 3, 2, 1, 3, 3, 3, 3, 3, 2, 3, 2, 0, 3, 3, 3, 2, 2, 3, 3, 2, 2, 4, 4, 4, 0, 4, 1, 3, 2, 2, 1, 0, 4, 4, 4, 1, 0, 0, 4, 2, 0, 0, 3, 3, 1, 0, 2, 1, 1, 4, 0, 1, 3, 1, 4, 4, 1, 4, 0, 0, 1, 2, 1, 2, 0, 3, 0, 2, 1, 1, 3, 4, 1, 0, 0, 4, 1, 3, 0, 1, 0, 3, 2, 3, 1, 1, 0, 3, 0, 4, 0, 0, 4, 0, 1, 2, 2, 1, 3, 0, 0, 0, 4, 3, 0, 3, 3, 1, 0, 2, 4, 0, 1, 3, 4, 1, 4, 0, 2, 1, 2, 4, 0, 0, 0, 3, 4, 2, 2, 3, 2, 4, 4, 4, 4, 4, 0, 1, 3, 3, 4, 1, 4, 4, 3, 4, 4, 1, 4, 3, 3, 2, 2, 1, 1, 4, 0, 4, 3, 2, 0, 2, 4, 3, 3, 4, 1, 1, 1, 3, 3, 1, 0, 1, 0, 2, 1, 1, 2, 2] pubkeycol1593 = [0, 2, 1, 4, 2, 2, 0, 3, 2, 1, 3, 4, 0, 2, 1, 2, 0, 4, 1, 0, 0, 0, 0, 3, 0, 4, 2, 4, 2, 2, 2, 3, 4, 0, 1, 2, 1, 1, 2, 4, 3, 3, 1, 4, 0, 3, 4, 1, 2, 2, 0, 3, 2, 0, 3, 3, 4, 3, 3, 0, 0, 1, 3, 1, 3, 4, 4, 4, 4, 3, 3, 0, 1, 0, 2, 4, 4, 2, 0, 3, 2, 1, 1, 4, 4, 2, 2, 0, 4, 3, 2, 1, 0, 3, 1, 3, 1, 1, 0, 3, 1, 2, 0, 3, 0, 3, 0, 3, 0, 0, 4, 1, 4, 3, 1, 4, 1, 2, 0, 3, 0, 3, 2, 0, 2, 1, 1, 1, 4, 4, 3, 2, 0, 4, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 3, 2, 3, 1, 3, 0, 3, 1, 0, 4, 2, 1, 3, 2, 3, 2, 4, 1, 1, 2, 4, 2, 3, 2, 2, 4, 3, 2, 0, 3, 3, 4, 2, 1, 1, 4, 2, 2, 0, 4, 0, 1, 2, 2, 4, 1, 2, 1, 3, 3, 3, 3, 2, 4, 4, 3, 0, 2, 4, 0, 4, 2, 4, 3, 3, 3, 0, 3, 4, 4, 4, 2, 3, 2, 1, 4, 4, 0, 4, 4, 1, 4, 3, 0, 3, 1, 3, 3, 1, 1, 1, 3, 0, 1, 1, 4, 4, 2, 3, 0, 2, 1, 3, 4, 1, 0, 1, 4, 2, 3, 4, 0, 4, 2, 2, 4, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 3, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 4, 1, 4, 2, 4, 0, 3, 4, 2, 0, 0, 0, 2, 4, 2, 3, 3, 3, 0, 4, 0, 3, 1, 4, 1, 0, 3, 0, 3, 3, 0, 2, 2, 2, 4, 2, 3, 1, 4, 3, 4, 2, 1, 3, 0, 1, 0, 0, 0, 3, 4, 0, 4, 1, 4, 2, 1, 4, 0, 2, 2, 0, 3, 3, 1, 3, 3, 2, 1, 4, 2, 0, 2, 1, 2, 2, 0, 2, 2, 3, 4, 3, 3, 0, 0, 2, 0, 3, 0, 1, 0, 0, 4, 3, 4, 1, 3, 1, 2, 2, 3, 3, 0, 0, 3, 3, 4, 4, 4, 2, 1, 1, 3, 1, 3, 4, 3, 3, 2, 1, 3, 3, 3, 3, 4, 2, 4, 4, 4, 2, 2, 3, 3, 2, 2, 1, 3, 3, 2, 4, 2, 1, 4, 0, 0, 3, 3, 0, 1, 0, 1, 0, 0, 4, 2, 2, 2, 2, 4, 3, 2, 1, 1, 3, 2, 0, 1, 4, 4, 1, 2, 1, 1, 3, 4, 4, 2, 4, 0, 0, 1, 1, 4, 2, 2, 2, 2, 1, 2, 4, 0, 4, 0] pubkeycol1594 = [2, 2, 2, 4, 0, 0, 1, 3, 2, 2, 4, 4, 3, 4, 0, 2, 1, 4, 2, 4, 3, 4, 4, 0, 0, 3, 1, 4, 0, 0, 2, 0, 4, 1, 3, 0, 4, 2, 4, 2, 2, 4, 2, 0, 4, 1, 4, 2, 1, 2, 3, 2, 3, 3, 2, 0, 2, 1, 4, 3, 1, 2, 1, 4, 2, 2, 1, 4, 4, 1, 2, 2, 4, 2, 1, 0, 4, 0, 1, 3, 2, 2, 4, 2, 3, 0, 1, 0, 1, 0, 1, 2, 4, 3, 3, 0, 4, 4, 3, 4, 4, 3, 2, 4, 2, 3, 0, 4, 3, 1, 3, 2, 4, 3, 3, 2, 4, 2, 3, 0, 3, 1, 4, 1, 4, 1, 1, 2, 1, 3, 4, 0, 1, 1, 0, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 4, 2, 0, 2, 1, 3, 4, 2, 4, 4, 3, 1, 4, 2, 4, 3, 0, 2, 4, 1, 4, 1, 0, 2, 0, 1, 1, 2, 3, 1, 2, 1, 0, 0, 4, 1, 3, 0, 0, 2, 2, 1, 3, 1, 0, 3, 0, 3, 4, 0, 1, 4, 0, 1, 4, 0, 1, 2, 2, 2, 0, 3, 1, 0, 2, 4, 3, 4, 2, 4, 3, 2, 0, 3, 3, 3, 3, 3, 4, 1, 2, 2, 1, 3, 2, 3, 3, 4, 1, 3, 0, 0, 1, 4, 2, 3, 3, 4, 4, 1, 0, 0, 4, 0, 0, 3, 3, 0, 3, 3, 0, 2, 1, 2, 2, 4, 0, 3, 3, 4, 1, 4, 4, 0, 2, 4, 4, 0, 2, 4, 1, 0, 4, 4, 3, 4, 0, 2, 3, 0, 0, 0, 1, 3, 0, 3, 3, 4, 4, 4, 2, 4, 2, 3, 4, 1, 3, 0, 0, 2, 2, 4, 2, 4, 3, 1, 0, 1, 3, 2, 4, 0, 0, 1, 4, 0, 2, 2, 3, 0, 1, 0, 0, 0, 0, 3, 0, 1, 1, 4, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 3, 0, 2, 3, 2, 2, 3, 1, 2, 0, 1, 3, 4, 2, 1, 3, 3, 0, 3, 4, 3, 4, 0, 2, 0, 0, 2, 1, 2, 1, 2, 3, 1, 0, 1, 4, 2, 1, 2, 2, 2, 2, 3, 0, 2, 4, 3, 0, 3, 0, 0, 4, 0, 3, 2, 4, 4, 1, 1, 0, 1, 2, 0, 3, 0, 0, 3, 2, 4, 1, 3, 4, 1, 2, 0, 0, 2, 0, 3, 3, 1, 1, 0, 2, 1, 3, 4, 2, 0, 0, 3, 4, 3, 2, 0, 3, 4, 3, 2, 0, 4, 0, 0, 1, 2, 1, 3, 3, 4, 4, 0, 3, 1, 1, 3, 1, 0, 1, 0, 3, 4, 1, 2, 0, 0, 4, 4, 4, 0, 4, 3, 0, 2, 2, 4] pubkeycol1595 = [2, 4, 4, 1, 1, 0, 1, 2, 3, 0, 2, 0, 4, 1, 3, 0, 4, 4, 0, 4, 0, 0, 4, 1, 1, 2, 3, 2, 2, 1, 3, 0, 4, 2, 0, 3, 0, 4, 4, 2, 1, 0, 3, 3, 3, 0, 3, 4, 4, 3, 4, 2, 3, 2, 4, 0, 1, 1, 0, 0, 3, 2, 0, 2, 3, 3, 1, 1, 0, 0, 1, 3, 3, 4, 0, 2, 1, 3, 4, 1, 0, 3, 0, 0, 4, 4, 4, 4, 2, 3, 2, 2, 2, 2, 4, 1, 4, 3, 3, 0, 2, 2, 3, 4, 3, 4, 4, 3, 3, 3, 2, 3, 2, 4, 0, 4, 2, 1, 2, 4, 3, 4, 4, 2, 1, 4, 0, 1, 4, 0, 0, 1, 0, 1, 3, 3, 0, 3, 0, 4, 3, 4, 2, 2, 3, 0, 2, 0, 2, 1, 3, 3, 3, 1, 2, 0, 4, 1, 1, 3, 3, 4, 0, 0, 0, 1, 0, 1, 4, 2, 3, 2, 4, 2, 3, 1, 1, 1, 4, 3, 2, 0, 2, 3, 4, 0, 1, 4, 4, 1, 2, 2, 1, 3, 2, 4, 0, 4, 4, 1, 4, 1, 4, 3, 2, 1, 4, 4, 2, 2, 1, 1, 1, 2, 0, 3, 4, 1, 4, 0, 4, 0, 1, 3, 0, 0, 0, 4, 0, 4, 0, 0, 1, 0, 0, 4, 3, 0, 2, 0, 1, 0, 2, 4, 2, 0, 4, 2, 4, 4, 0, 2, 2, 2, 4, 3, 3, 1, 3, 3, 0, 1, 4, 1, 0, 2, 1, 4, 3, 2, 0, 0, 4, 4, 0, 1, 1, 4, 2, 3, 1, 4, 3, 0, 1, 1, 3, 3, 2, 4, 3, 2, 3, 0, 4, 1, 1, 4, 1, 1, 3, 1, 4, 0, 3, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 4, 2, 4, 0, 1, 4, 1, 1, 1, 4, 4, 4, 2, 4, 0, 0, 4, 4, 2, 0, 4, 3, 0, 0, 4, 1, 3, 4, 0, 2, 1, 1, 2, 0, 4, 2, 1, 4, 4, 2, 1, 3, 2, 2, 0, 0, 0, 3, 0, 2, 1, 3, 0, 0, 1, 1, 2, 2, 4, 1, 3, 3, 0, 0, 1, 0, 4, 2, 1, 0, 4, 4, 4, 4, 4, 0, 3, 1, 1, 4, 4, 2, 4, 1, 3, 3, 4, 3, 3, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 4, 1, 4, 0, 1, 1, 4, 2, 4, 4, 3, 4, 3, 3, 2, 4, 0, 1, 4, 4, 3, 3, 4, 1, 1, 4, 4, 3, 4, 3, 0, 1, 0, 1, 2, 2, 1, 4, 3, 0, 2, 2, 0, 4, 3, 4, 0, 1, 3, 3, 3, 0, 2, 3, 2, 0, 1, 4, 2, 1] pubkeycol1596 = [1, 0, 3, 3, 3, 3, 0, 3, 1, 0, 2, 3, 1, 4, 1, 2, 2, 1, 1, 3, 0, 0, 0, 2, 4, 2, 2, 4, 4, 2, 0, 0, 1, 3, 4, 4, 4, 3, 1, 3, 0, 4, 4, 4, 1, 0, 0, 1, 2, 0, 4, 2, 4, 2, 2, 0, 4, 1, 2, 0, 2, 2, 3, 3, 4, 0, 0, 4, 2, 4, 1, 4, 0, 3, 0, 3, 2, 3, 3, 4, 0, 3, 0, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 1, 0, 0, 3, 0, 4, 1, 2, 1, 3, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 4, 3, 2, 4, 1, 0, 3, 1, 1, 0, 4, 4, 2, 3, 2, 3, 0, 4, 3, 4, 4, 4, 4, 2, 2, 2, 2, 3, 2, 0, 3, 3, 1, 4, 2, 3, 1, 1, 2, 3, 2, 1, 3, 1, 4, 3, 0, 0, 4, 3, 4, 4, 0, 0, 2, 0, 2, 4, 2, 4, 4, 2, 3, 0, 1, 2, 0, 2, 1, 4, 4, 1, 2, 4, 2, 4, 1, 1, 0, 4, 2, 4, 1, 3, 3, 2, 3, 2, 4, 4, 0, 4, 1, 0, 2, 1, 3, 1, 4, 3, 4, 2, 0, 3, 2, 2, 1, 4, 1, 0, 2, 1, 2, 4, 1, 1, 1, 3, 1, 4, 3, 1, 1, 2, 4, 2, 4, 1, 3, 1, 0, 4, 3, 2, 2, 0, 1, 4, 2, 3, 4, 0, 0, 0, 4, 1, 3, 3, 0, 0, 4, 1, 3, 2, 1, 3, 0, 0, 2, 0, 2, 3, 1, 4, 2, 0, 3, 3, 0, 3, 4, 2, 1, 3, 3, 3, 1, 0, 0, 0, 4, 1, 1, 0, 3, 4, 3, 3, 4, 3, 0, 3, 2, 4, 2, 3, 1, 3, 4, 4, 3, 1, 4, 4, 2, 4, 4, 2, 0, 3, 0, 1, 2, 0, 1, 1, 4, 0, 3, 0, 1, 1, 1, 3, 3, 0, 3, 3, 2, 3, 0, 4, 3, 2, 0, 4, 4, 4, 4, 4, 0, 2, 2, 4, 1, 3, 2, 3, 4, 2, 3, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3, 2, 4, 2, 3, 0, 1, 2, 2, 0, 0, 4, 0, 1, 4, 1, 3, 3, 2, 0, 2, 4, 2, 1, 4, 3, 0, 0, 1, 0, 3, 1, 2, 2, 2, 2, 3, 0, 0, 1, 0, 3, 4, 3, 2, 4, 0, 1, 2, 0, 0, 0, 2, 1, 1, 3, 4, 3, 4, 4, 0, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 4, 4, 3, 1, 4, 0, 2, 4, 3, 1, 0, 4, 1, 4, 4, 3, 2, 3, 0, 1, 4, 1, 4, 3, 2, 3, 0, 1, 2, 1, 1, 1, 2, 4] pubkeycol1597 = [0, 2, 3, 3, 3, 0, 1, 3, 3, 0, 3, 3, 0, 3, 1, 4, 0, 0, 1, 3, 2, 2, 0, 4, 0, 3, 4, 4, 2, 3, 2, 4, 3, 0, 1, 0, 2, 4, 4, 4, 3, 0, 3, 1, 2, 1, 1, 2, 4, 0, 2, 1, 4, 2, 0, 0, 2, 3, 3, 3, 2, 3, 2, 2, 1, 4, 4, 2, 2, 1, 1, 3, 0, 0, 2, 4, 2, 4, 2, 1, 0, 4, 4, 1, 0, 0, 3, 1, 4, 0, 0, 1, 0, 1, 4, 4, 2, 4, 3, 1, 1, 2, 1, 0, 0, 2, 3, 2, 3, 1, 3, 1, 0, 0, 4, 4, 4, 0, 0, 0, 3, 0, 3, 0, 1, 2, 4, 1, 4, 2, 0, 1, 4, 2, 3, 3, 3, 0, 2, 3, 0, 1, 4, 2, 2, 0, 0, 4, 4, 3, 0, 4, 2, 4, 2, 3, 1, 4, 1, 3, 3, 1, 2, 3, 0, 0, 0, 4, 0, 2, 1, 1, 4, 4, 1, 0, 3, 2, 4, 4, 4, 2, 3, 4, 0, 0, 3, 0, 1, 3, 2, 0, 2, 2, 2, 0, 3, 1, 3, 0, 1, 2, 3, 1, 3, 0, 2, 4, 3, 1, 4, 3, 4, 0, 2, 1, 0, 0, 3, 0, 4, 2, 2, 4, 1, 4, 2, 3, 1, 2, 1, 1, 0, 4, 4, 2, 0, 1, 1, 0, 0, 2, 0, 3, 4, 0, 0, 3, 3, 0, 0, 2, 3, 4, 4, 3, 4, 1, 3, 2, 4, 4, 2, 1, 4, 1, 3, 1, 1, 0, 4, 2, 2, 1, 2, 3, 3, 0, 4, 4, 4, 4, 3, 0, 0, 3, 1, 0, 1, 3, 2, 0, 3, 4, 3, 1, 1, 0, 4, 3, 0, 2, 4, 3, 2, 0, 4, 0, 2, 1, 0, 0, 4, 4, 0, 0, 4, 0, 3, 0, 3, 4, 1, 4, 1, 4, 4, 4, 3, 3, 4, 4, 2, 4, 2, 0, 0, 2, 4, 0, 0, 1, 0, 0, 4, 3, 1, 3, 2, 1, 1, 3, 1, 2, 4, 1, 2, 0, 0, 3, 0, 3, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 3, 1, 2, 4, 2, 4, 0, 1, 4, 4, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 3, 4, 2, 4, 2, 0, 0, 3, 1, 3, 3, 4, 1, 3, 2, 0, 3, 1, 4, 2, 2, 2, 2, 3, 0, 2, 4, 3, 4, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 4, 4, 4, 2, 4, 4, 4, 1, 3, 1, 2, 4, 1, 1, 2, 0, 1, 4, 3, 2, 1, 0, 4, 0, 2, 1, 2, 4, 4, 1, 2, 4, 0, 3, 3, 3, 4, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol1598 = [3, 2, 3, 2, 2, 4, 3, 0, 2, 1, 1, 0, 2, 0, 1, 3, 0, 2, 1, 0, 2, 4, 1, 3, 3, 4, 4, 2, 4, 4, 1, 4, 2, 4, 3, 1, 3, 4, 3, 2, 2, 0, 0, 4, 0, 0, 3, 1, 1, 0, 1, 0, 1, 3, 0, 4, 4, 3, 0, 0, 4, 2, 3, 3, 3, 4, 2, 2, 1, 1, 0, 3, 4, 3, 0, 2, 2, 0, 1, 2, 1, 3, 1, 2, 2, 3, 0, 4, 0, 4, 3, 2, 3, 4, 2, 3, 1, 4, 1, 1, 0, 2, 4, 0, 4, 3, 0, 2, 0, 1, 2, 0, 3, 1, 0, 2, 4, 4, 2, 0, 0, 0, 3, 3, 4, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 4, 4, 4, 4, 4, 3, 1, 3, 2, 3, 0, 2, 4, 3, 2, 2, 3, 2, 0, 0, 2, 4, 2, 3, 0, 1, 2, 3, 4, 3, 4, 1, 0, 3, 2, 3, 4, 3, 0, 1, 2, 3, 4, 2, 3, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 4, 1, 0, 0, 3, 4, 0, 1, 0, 0, 2, 3, 0, 1, 2, 1, 4, 4, 2, 3, 1, 2, 3, 1, 0, 2, 0, 1, 4, 0, 0, 0, 2, 3, 0, 4, 0, 1, 4, 1, 0, 2, 0, 4, 3, 1, 3, 1, 0, 4, 4, 1, 1, 3, 1, 2, 1, 2, 1, 4, 2, 0, 4, 3, 2, 3, 0, 0, 3, 4, 0, 0, 1, 3, 1, 4, 3, 4, 3, 3, 3, 0, 1, 1, 3, 2, 0, 4, 0, 1, 3, 1, 2, 3, 3, 2, 2, 2, 2, 4, 1, 4, 3, 3, 0, 3, 2, 0, 0, 3, 2, 2, 2, 0, 4, 1, 4, 1, 3, 2, 1, 2, 3, 4, 3, 2, 1, 3, 3, 3, 1, 0, 0, 4, 3, 1, 1, 0, 3, 1, 1, 4, 3, 2, 0, 4, 2, 4, 4, 2, 1, 2, 3, 0, 3, 1, 1, 2, 3, 0, 4, 2, 1, 0, 1, 3, 3, 1, 4, 4, 2, 2, 4, 3, 4, 3, 2, 4, 3, 4, 0, 1, 4, 4, 4, 2, 1, 3, 0, 3, 4, 4, 2, 1, 3, 1, 4, 0, 1, 0, 3, 2, 1, 0, 1, 0, 0, 1, 4, 1, 3, 0, 0, 2, 1, 0, 1, 0, 3, 1, 0, 2, 0, 2, 4, 4, 0, 2, 0, 0, 1, 2, 3, 2, 0, 1, 4, 1, 1, 4, 1, 4, 1, 4, 1, 4, 3, 0, 0, 4, 2, 2, 2, 0, 0, 4, 0, 0, 1, 0, 0, 4, 1, 4, 2, 1, 3, 1, 1, 1, 3, 1, 3, 4, 2, 3, 4, 0] pubkeycol1599 = [3, 4, 1, 3, 2, 4, 4, 3, 4, 1, 1, 0, 3, 4, 0, 1, 1, 0, 4, 1, 0, 1, 4, 1, 2, 1, 4, 0, 1, 1, 4, 3, 0, 1, 1, 1, 0, 3, 1, 2, 3, 4, 0, 3, 0, 4, 4, 4, 1, 4, 2, 4, 1, 3, 3, 1, 2, 1, 3, 4, 2, 0, 4, 0, 3, 4, 0, 4, 2, 2, 2, 3, 4, 0, 2, 3, 2, 3, 2, 1, 4, 1, 4, 2, 0, 1, 4, 2, 3, 3, 0, 0, 4, 3, 0, 4, 0, 4, 0, 2, 2, 2, 2, 2, 4, 1, 4, 0, 3, 3, 0, 4, 1, 3, 4, 4, 2, 3, 2, 1, 3, 1, 4, 4, 1, 1, 0, 4, 3, 2, 2, 0, 0, 4, 3, 2, 2, 0, 1, 1, 2, 3, 0, 4, 4, 0, 2, 4, 3, 4, 3, 2, 0, 4, 0, 3, 2, 4, 1, 0, 0, 0, 1, 3, 3, 0, 2, 0, 0, 1, 4, 4, 0, 4, 1, 1, 0, 1, 3, 1, 3, 1, 2, 0, 1, 2, 4, 1, 1, 2, 2, 2, 3, 1, 3, 4, 1, 3, 3, 4, 0, 2, 0, 4, 3, 0, 3, 1, 1, 0, 1, 2, 0, 2, 3, 2, 4, 1, 4, 2, 4, 4, 1, 4, 0, 1, 0, 3, 4, 2, 2, 1, 1, 4, 1, 2, 3, 0, 1, 4, 4, 3, 3, 0, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 1, 3, 1, 2, 3, 2, 1, 1, 4, 0, 2, 3, 1, 4, 4, 3, 0, 0, 4, 4, 3, 4, 1, 4, 4, 4, 3, 0, 2, 3, 1, 1, 0, 1, 4, 1, 3, 2, 1, 2, 0, 1, 4, 0, 3, 2, 3, 0, 3, 0, 1, 2, 4, 0, 2, 3, 2, 2, 3, 4, 2, 1, 4, 3, 1, 3, 1, 2, 4, 0, 1, 0, 3, 3, 0, 2, 2, 0, 0, 4, 0, 1, 1, 1, 2, 1, 4, 3, 4, 4, 3, 3, 3, 3, 2, 3, 1, 2, 4, 3, 0, 3, 1, 0, 4, 1, 0, 3, 4, 1, 4, 4, 4, 1, 0, 0, 1, 4, 4, 0, 2, 4, 4, 0, 3, 4, 3, 1, 4, 3, 0, 4, 2, 0, 1, 2, 4, 3, 1, 4, 3, 2, 1, 4, 0, 4, 1, 2, 1, 1, 2, 0, 4, 4, 0, 3, 1, 2, 2, 4, 3, 2, 4, 3, 0, 3, 2, 0, 3, 1, 1, 1, 2, 3, 4, 4, 1, 1, 4, 3, 0, 0, 4, 3, 1, 0, 3, 4, 1, 3, 1, 4, 4, 2, 1, 4, 0, 2, 2, 2, 2, 4, 1, 0, 3, 0, 3, 1, 1, 2, 2, 2, 1, 0, 2, 3, 2, 2, 2, 3, 1, 2, 4, 4, 0, 4] pubkeycol1600 = [2, 1, 3, 4, 0, 1, 2, 4, 4, 3, 0, 4, 1, 1, 4, 3, 3, 1, 1, 4, 2, 2, 0, 3, 2, 4, 2, 3, 0, 0, 0, 0, 1, 1, 3, 2, 4, 0, 4, 4, 4, 1, 0, 2, 0, 0, 3, 0, 3, 1, 4, 4, 1, 1, 1, 0, 1, 4, 2, 4, 1, 0, 3, 3, 3, 3, 0, 2, 0, 3, 0, 0, 2, 4, 1, 3, 0, 0, 0, 4, 1, 3, 3, 1, 0, 4, 1, 4, 1, 4, 3, 2, 1, 2, 3, 3, 2, 4, 4, 3, 0, 3, 0, 1, 0, 4, 0, 3, 3, 3, 3, 2, 1, 4, 3, 0, 2, 1, 2, 3, 3, 0, 2, 4, 3, 4, 4, 3, 1, 4, 3, 3, 0, 2, 1, 3, 4, 3, 1, 3, 0, 1, 1, 2, 1, 1, 4, 3, 0, 2, 3, 2, 0, 2, 2, 1, 1, 4, 3, 2, 3, 0, 0, 2, 4, 4, 2, 3, 4, 4, 0, 1, 1, 0, 0, 1, 0, 2, 2, 3, 4, 3, 3, 2, 0, 4, 1, 4, 2, 4, 1, 3, 0, 1, 1, 1, 2, 3, 0, 4, 2, 2, 3, 3, 1, 4, 3, 0, 3, 3, 3, 1, 1, 4, 4, 2, 2, 4, 1, 2, 4, 0, 1, 2, 1, 4, 2, 4, 1, 4, 2, 0, 1, 4, 4, 4, 4, 3, 0, 2, 3, 4, 3, 1, 0, 0, 2, 0, 4, 4, 1, 1, 2, 0, 2, 3, 2, 0, 1, 0, 4, 4, 2, 2, 1, 0, 3, 0, 3, 0, 4, 1, 2, 1, 0, 1, 2, 2, 4, 0, 1, 0, 3, 0, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 0, 3, 1, 3, 0, 3, 3, 2, 1, 0, 1, 3, 1, 2, 4, 1, 1, 3, 4, 1, 3, 3, 2, 1, 1, 1, 4, 2, 4, 0, 0, 4, 4, 4, 2, 1, 0, 0, 2, 1, 3, 4, 4, 0, 2, 3, 3, 2, 4, 3, 4, 0, 1, 3, 0, 4, 4, 4, 4, 3, 2, 2, 0, 0, 3, 1, 4, 1, 0, 3, 1, 1, 2, 4, 4, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 0, 3, 0, 2, 0, 2, 1, 0, 3, 3, 3, 3, 3, 0, 0, 0, 2, 0, 0, 2, 1, 3, 4, 1, 0, 2, 3, 2, 3, 4, 4, 4, 2, 0, 1, 4, 3, 2, 4, 2, 3, 0, 3, 3, 4, 0, 1, 1, 1, 0, 3, 2, 1, 2, 2, 0, 2, 4, 0, 2, 0, 2, 4, 3, 0, 3, 0, 0, 2, 3, 1, 0, 4, 2, 3, 2, 1, 4, 0, 1, 2, 4, 2, 0, 0, 0, 0, 4, 2, 1, 2, 1, 4, 2, 1, 1, 0, 1, 4, 2] pubkeycol1601 = [1, 0, 4, 3, 0, 1, 4, 0, 2, 1, 0, 2, 4, 2, 3, 3, 2, 2, 4, 2, 3, 4, 1, 2, 4, 2, 0, 1, 4, 1, 1, 4, 1, 1, 0, 4, 3, 4, 4, 0, 0, 2, 0, 4, 1, 3, 2, 0, 4, 4, 1, 0, 0, 0, 0, 2, 2, 1, 3, 1, 0, 3, 4, 0, 0, 4, 4, 1, 3, 4, 0, 4, 0, 1, 3, 1, 3, 2, 2, 2, 4, 0, 4, 1, 0, 0, 1, 1, 4, 1, 4, 3, 4, 4, 3, 2, 2, 0, 1, 2, 0, 3, 3, 3, 4, 0, 1, 4, 1, 3, 1, 4, 4, 3, 0, 1, 4, 2, 0, 1, 3, 1, 4, 3, 2, 0, 2, 3, 1, 1, 1, 1, 0, 3, 1, 3, 1, 4, 2, 4, 3, 3, 3, 2, 3, 4, 3, 0, 3, 1, 0, 3, 4, 0, 2, 1, 0, 0, 2, 0, 4, 0, 4, 4, 0, 4, 4, 2, 1, 2, 1, 2, 1, 1, 2, 3, 2, 3, 2, 1, 1, 3, 2, 0, 1, 3, 1, 0, 1, 3, 3, 2, 2, 0, 0, 3, 1, 3, 0, 3, 4, 4, 3, 3, 2, 3, 2, 0, 4, 2, 3, 0, 3, 0, 2, 3, 0, 2, 1, 0, 3, 2, 1, 3, 1, 0, 0, 2, 2, 4, 0, 1, 1, 2, 3, 3, 4, 0, 3, 0, 1, 4, 3, 1, 0, 1, 2, 1, 4, 3, 3, 2, 4, 3, 2, 4, 1, 2, 0, 2, 2, 2, 4, 4, 1, 1, 4, 1, 1, 3, 4, 3, 3, 1, 4, 0, 0, 2, 2, 2, 0, 4, 3, 3, 2, 3, 4, 0, 0, 1, 0, 2, 3, 4, 4, 0, 3, 3, 0, 3, 2, 4, 2, 4, 1, 1, 0, 1, 1, 3, 1, 1, 3, 4, 2, 0, 2, 2, 2, 4, 2, 2, 3, 4, 2, 4, 0, 2, 0, 3, 1, 1, 4, 4, 2, 0, 1, 4, 2, 0, 2, 4, 3, 2, 3, 3, 2, 1, 1, 3, 3, 3, 1, 4, 1, 0, 0, 4, 4, 3, 4, 2, 3, 3, 4, 3, 0, 1, 3, 3, 4, 3, 2, 2, 2, 1, 3, 4, 0, 1, 4, 4, 0, 1, 1, 4, 2, 1, 3, 1, 0, 4, 4, 4, 4, 1, 4, 4, 2, 1, 4, 2, 4, 1, 1, 3, 4, 0, 0, 0, 4, 3, 4, 3, 1, 4, 2, 3, 2, 3, 3, 2, 2, 0, 4, 3, 4, 0, 4, 2, 1, 1, 2, 2, 1, 2, 0, 2, 3, 1, 3, 0, 1, 3, 1, 2, 1, 3, 0, 3, 4, 2, 1, 0, 4, 2, 3, 0, 1, 3, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 4, 3, 3, 2, 3, 4, 2, 1, 2, 0] pubkeycol1602 = [0, 1, 1, 1, 3, 3, 0, 1, 2, 4, 0, 4, 0, 2, 0, 1, 1, 4, 2, 4, 0, 1, 0, 4, 3, 0, 0, 1, 0, 4, 3, 1, 1, 2, 1, 4, 1, 2, 0, 4, 2, 3, 0, 4, 2, 3, 4, 0, 1, 0, 2, 1, 1, 4, 3, 4, 4, 2, 3, 2, 0, 1, 1, 0, 1, 4, 4, 2, 0, 0, 0, 4, 4, 3, 2, 3, 4, 1, 1, 3, 3, 4, 1, 4, 0, 2, 0, 1, 3, 2, 4, 1, 4, 4, 1, 2, 2, 3, 1, 3, 3, 1, 4, 2, 1, 4, 3, 3, 2, 4, 1, 3, 2, 2, 0, 4, 0, 2, 3, 3, 4, 3, 3, 0, 4, 0, 4, 1, 2, 0, 2, 4, 0, 3, 4, 1, 0, 4, 1, 3, 4, 4, 4, 2, 0, 0, 3, 2, 2, 1, 3, 3, 4, 3, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 4, 1, 2, 2, 1, 1, 1, 1, 3, 3, 4, 2, 3, 2, 2, 0, 4, 1, 4, 0, 0, 0, 1, 2, 1, 0, 0, 1, 3, 3, 1, 1, 1, 2, 1, 3, 4, 3, 1, 0, 3, 3, 0, 1, 0, 2, 4, 3, 1, 4, 2, 1, 4, 0, 2, 2, 1, 2, 1, 1, 0, 4, 1, 3, 3, 3, 2, 4, 2, 0, 2, 0, 4, 4, 1, 1, 3, 4, 1, 1, 2, 2, 4, 2, 4, 4, 1, 1, 3, 1, 0, 3, 4, 3, 3, 2, 2, 0, 4, 4, 1, 4, 4, 2, 1, 4, 4, 4, 4, 4, 1, 4, 0, 0, 3, 3, 4, 2, 4, 0, 3, 3, 4, 4, 3, 1, 1, 1, 2, 1, 0, 1, 4, 4, 2, 2, 3, 1, 2, 3, 3, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 4, 1, 0, 4, 4, 3, 3, 4, 1, 1, 4, 3, 2, 0, 4, 0, 4, 2, 1, 0, 4, 2, 0, 3, 4, 0, 2, 2, 2, 2, 4, 0, 1, 0, 2, 0, 3, 4, 4, 3, 2, 1, 0, 1, 2, 3, 0, 1, 1, 1, 3, 4, 0, 0, 0, 0, 3, 4, 1, 1, 4, 1, 0, 2, 2, 3, 2, 2, 1, 2, 1, 2, 4, 2, 0, 2, 4, 2, 1, 1, 0, 3, 4, 2, 2, 1, 4, 3, 0, 4, 3, 0, 0, 4, 2, 1, 4, 4, 4, 0, 2, 4, 0, 1, 3, 4, 2, 3, 2, 2, 1, 3, 3, 2, 2, 2, 0, 0, 0, 2, 3, 1, 4, 1, 0, 2, 0, 2, 2, 4, 3, 3, 0, 1, 3, 3, 4, 4, 2, 3, 2, 1, 0, 1, 1, 2, 2, 4, 3, 2, 2, 0, 1, 1, 3, 0, 2, 4, 2, 4, 2, 0, 2, 2, 1] pubkeycol1603 = [2, 2, 0, 3, 0, 4, 0, 3, 1, 4, 2, 3, 4, 0, 4, 4, 4, 3, 0, 3, 3, 2, 4, 3, 4, 4, 3, 1, 0, 1, 3, 1, 2, 2, 0, 0, 1, 2, 1, 0, 4, 1, 4, 4, 1, 4, 1, 4, 3, 4, 0, 4, 3, 4, 2, 2, 1, 3, 4, 0, 0, 3, 2, 4, 3, 3, 2, 1, 2, 4, 0, 2, 2, 2, 2, 2, 4, 0, 2, 4, 0, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 2, 0, 0, 3, 3, 3, 1, 1, 4, 2, 0, 0, 2, 2, 0, 2, 0, 1, 4, 0, 0, 4, 3, 4, 3, 2, 4, 4, 2, 4, 4, 2, 1, 2, 0, 4, 1, 0, 3, 2, 4, 1, 1, 3, 2, 3, 4, 3, 4, 0, 3, 1, 4, 1, 3, 1, 4, 4, 1, 2, 2, 1, 2, 3, 2, 0, 2, 0, 0, 4, 0, 3, 1, 1, 3, 2, 4, 1, 0, 0, 4, 1, 3, 0, 3, 2, 0, 0, 4, 4, 0, 4, 0, 3, 3, 1, 1, 4, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 3, 0, 1, 0, 3, 1, 3, 3, 0, 3, 0, 0, 4, 3, 3, 4, 3, 3, 0, 3, 3, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 4, 2, 3, 1, 3, 2, 2, 3, 3, 3, 1, 3, 0, 2, 4, 1, 1, 4, 2, 3, 1, 2, 2, 3, 0, 3, 3, 0, 1, 4, 3, 0, 3, 0, 4, 2, 4, 0, 1, 4, 1, 3, 2, 1, 3, 0, 0, 1, 0, 3, 1, 1, 4, 3, 4, 2, 1, 1, 3, 3, 1, 4, 3, 0, 2, 0, 4, 1, 0, 1, 0, 3, 2, 0, 4, 1, 2, 1, 3, 0, 2, 4, 0, 3, 0, 1, 2, 3, 2, 0, 0, 1, 4, 4, 3, 1, 0, 3, 3, 2, 2, 0, 2, 0, 3, 4, 3, 4, 2, 4, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 3, 0, 4, 3, 4, 1, 1, 3, 2, 3, 1, 3, 4, 4, 4, 1, 0, 1, 1, 0, 0, 4, 1, 3, 2, 0, 3, 2, 0, 3, 2, 2, 4, 2, 3, 4, 2, 1, 3, 4, 4, 0, 1, 3, 3, 0, 0, 3, 0, 3, 1, 1, 0, 4, 4, 0, 2, 0, 4, 2, 1, 0, 2, 1, 2, 0, 4, 0, 4, 4, 1, 1, 4, 3, 0, 1, 0, 4, 3, 2, 4, 2, 2, 4, 1, 0, 1, 0, 3, 1, 0, 0, 1, 0, 2, 3, 1, 3, 3, 3, 0, 2, 1, 0, 3, 4, 2, 4, 4, 4, 2, 4, 4, 1, 2, 3, 3, 1, 2, 3, 3, 3, 1, 2, 2, 4, 2, 0, 4] pubkeycol1604 = [0, 0, 4, 2, 3, 4, 0, 2, 4, 3, 1, 4, 2, 2, 1, 1, 3, 2, 4, 0, 4, 2, 4, 3, 4, 2, 1, 0, 1, 1, 1, 3, 1, 3, 3, 3, 0, 1, 3, 1, 0, 3, 1, 0, 4, 3, 0, 1, 3, 0, 3, 1, 1, 3, 1, 1, 1, 2, 3, 3, 1, 1, 0, 0, 3, 2, 0, 2, 0, 2, 3, 0, 4, 4, 0, 1, 3, 4, 4, 1, 3, 4, 4, 0, 0, 0, 1, 1, 2, 0, 3, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 2, 2, 4, 4, 2, 4, 1, 2, 0, 4, 0, 1, 0, 1, 4, 4, 4, 3, 3, 4, 3, 0, 2, 4, 1, 2, 3, 3, 4, 4, 1, 4, 1, 1, 0, 2, 1, 0, 2, 0, 4, 2, 4, 4, 3, 1, 1, 4, 2, 2, 1, 3, 3, 0, 3, 4, 1, 1, 2, 1, 3, 1, 0, 1, 2, 4, 4, 3, 2, 3, 1, 1, 2, 1, 2, 4, 3, 2, 1, 2, 1, 2, 3, 4, 1, 4, 2, 3, 4, 0, 3, 4, 3, 2, 4, 3, 3, 0, 1, 4, 0, 4, 2, 2, 2, 3, 4, 1, 3, 0, 2, 1, 4, 4, 2, 4, 4, 1, 2, 4, 2, 4, 1, 4, 4, 2, 1, 3, 2, 2, 3, 1, 3, 2, 2, 0, 1, 4, 3, 0, 4, 0, 1, 1, 3, 4, 4, 4, 3, 4, 4, 0, 1, 4, 0, 4, 0, 1, 3, 1, 4, 2, 4, 2, 0, 2, 0, 3, 0, 3, 1, 4, 4, 4, 4, 2, 4, 4, 4, 1, 1, 4, 0, 4, 2, 1, 3, 4, 4, 4, 4, 2, 4, 2, 1, 2, 1, 2, 2, 2, 2, 3, 4, 3, 2, 1, 0, 3, 4, 4, 4, 1, 2, 1, 3, 2, 2, 0, 2, 1, 4, 1, 4, 2, 1, 0, 4, 1, 1, 2, 3, 4, 3, 4, 1, 1, 0, 0, 2, 3, 0, 3, 0, 1, 0, 0, 1, 1, 3, 4, 0, 4, 3, 3, 1, 2, 0, 0, 0, 4, 1, 3, 3, 3, 2, 1, 1, 1, 0, 1, 1, 4, 0, 2, 0, 4, 3, 0, 3, 0, 0, 0, 0, 4, 0, 4, 3, 3, 1, 0, 1, 4, 0, 3, 4, 0, 1, 3, 1, 2, 4, 1, 0, 2, 2, 1, 2, 1, 4, 3, 0, 4, 2, 4, 3, 0, 4, 0, 1, 4, 2, 2, 4, 1, 4, 0, 2, 0, 0, 4, 3, 2, 4, 2, 4, 4, 2, 4, 2, 1, 1, 1, 2, 4, 0, 1, 4, 3, 1, 2, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 1, 2, 3, 0, 4, 2, 1, 2, 3, 4, 0, 0, 3] pubkeycol1605 = [4, 2, 2, 4, 0, 3, 2, 3, 2, 0, 1, 3, 0, 4, 4, 4, 4, 4, 2, 4, 1, 2, 0, 2, 3, 4, 0, 4, 1, 1, 2, 2, 2, 1, 1, 1, 3, 0, 3, 4, 2, 1, 1, 3, 2, 4, 4, 2, 1, 1, 1, 0, 2, 4, 4, 2, 2, 2, 3, 4, 4, 1, 2, 1, 4, 4, 2, 3, 2, 2, 4, 2, 4, 0, 3, 4, 0, 2, 3, 0, 3, 2, 1, 4, 4, 4, 1, 2, 1, 3, 1, 0, 2, 1, 0, 0, 4, 4, 3, 3, 3, 0, 4, 4, 3, 1, 2, 3, 2, 4, 0, 1, 1, 0, 0, 4, 0, 0, 3, 4, 0, 0, 2, 4, 0, 1, 0, 0, 1, 3, 2, 3, 1, 1, 3, 3, 1, 4, 3, 1, 4, 0, 3, 2, 2, 3, 1, 0, 2, 0, 0, 2, 2, 3, 2, 4, 1, 1, 0, 1, 3, 2, 4, 3, 4, 2, 1, 0, 0, 0, 0, 2, 4, 0, 1, 0, 2, 1, 2, 0, 4, 2, 2, 0, 1, 1, 2, 4, 1, 2, 0, 3, 1, 3, 4, 3, 4, 0, 3, 1, 2, 1, 3, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 4, 2, 3, 4, 1, 2, 2, 3, 2, 0, 2, 3, 2, 0, 2, 1, 1, 4, 4, 4, 3, 3, 4, 2, 3, 1, 4, 4, 3, 0, 3, 0, 1, 4, 0, 4, 4, 4, 3, 3, 3, 3, 3, 0, 0, 0, 4, 2, 4, 1, 1, 3, 4, 4, 3, 3, 2, 3, 2, 2, 0, 3, 2, 2, 3, 4, 3, 3, 2, 4, 4, 1, 3, 2, 0, 3, 3, 2, 3, 4, 0, 2, 3, 2, 2, 1, 4, 3, 0, 2, 3, 1, 4, 3, 3, 3, 0, 2, 3, 1, 4, 1, 4, 1, 4, 3, 2, 2, 0, 3, 4, 2, 0, 0, 0, 1, 1, 2, 1, 1, 4, 1, 0, 0, 4, 4, 1, 1, 1, 3, 3, 3, 0, 2, 3, 2, 4, 4, 1, 3, 3, 2, 2, 0, 4, 2, 2, 3, 3, 4, 2, 2, 2, 2, 1, 1, 3, 1, 0, 0, 0, 0, 3, 3, 0, 4, 0, 1, 3, 2, 0, 4, 4, 3, 3, 2, 1, 3, 3, 1, 0, 3, 0, 1, 0, 2, 1, 3, 4, 4, 4, 4, 1, 0, 0, 3, 1, 0, 0, 2, 1, 2, 3, 2, 3, 3, 3, 4, 2, 4, 0, 4, 4, 0, 0, 4, 3, 1, 1, 0, 0, 1, 4, 0, 3, 3, 4, 4, 1, 3, 4, 3, 2, 2, 2, 3, 2, 0, 3, 0, 4, 1, 0, 1, 2, 3, 3, 2, 4, 4, 4, 1, 2, 2, 2, 2, 2, 1, 0, 4, 0, 1, 4, 3, 4, 2, 3] pubkeycol1606 = [1, 2, 3, 0, 1, 0, 1, 3, 1, 0, 1, 4, 0, 0, 1, 1, 0, 1, 2, 3, 2, 2, 4, 4, 2, 2, 1, 2, 4, 3, 1, 1, 0, 1, 3, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 4, 1, 3, 4, 3, 1, 4, 2, 3, 2, 0, 1, 4, 4, 4, 2, 2, 3, 4, 2, 2, 1, 3, 1, 0, 2, 4, 4, 1, 2, 0, 2, 1, 2, 0, 1, 2, 4, 3, 3, 4, 1, 0, 4, 3, 4, 3, 0, 1, 2, 4, 4, 0, 4, 1, 3, 0, 4, 1, 0, 2, 3, 1, 2, 4, 4, 4, 4, 3, 3, 1, 2, 4, 2, 4, 0, 0, 2, 0, 2, 1, 2, 1, 4, 4, 3, 4, 1, 3, 4, 2, 1, 4, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 4, 4, 1, 0, 1, 0, 4, 1, 4, 2, 4, 3, 1, 3, 2, 3, 1, 2, 2, 4, 3, 4, 1, 1, 4, 4, 3, 3, 2, 2, 3, 0, 4, 1, 3, 1, 3, 1, 3, 1, 0, 2, 3, 3, 4, 0, 3, 4, 2, 2, 0, 2, 2, 0, 4, 2, 1, 2, 1, 2, 2, 1, 4, 3, 3, 2, 4, 0, 0, 1, 0, 0, 4, 1, 3, 1, 1, 3, 4, 0, 3, 4, 4, 4, 1, 2, 2, 3, 3, 1, 3, 0, 4, 0, 2, 1, 3, 2, 4, 3, 2, 4, 4, 0, 2, 0, 0, 4, 4, 2, 3, 3, 1, 4, 3, 0, 1, 1, 0, 0, 4, 1, 2, 0, 1, 1, 4, 2, 4, 1, 4, 3, 3, 4, 4, 3, 1, 0, 1, 1, 4, 2, 3, 2, 0, 3, 4, 2, 1, 1, 2, 0, 0, 3, 3, 0, 3, 3, 1, 3, 1, 3, 3, 3, 1, 2, 4, 0, 3, 4, 3, 3, 4, 3, 4, 2, 0, 0, 3, 3, 2, 1, 4, 1, 0, 3, 2, 1, 2, 1, 1, 3, 3, 0, 3, 0, 2, 2, 0, 0, 2, 3, 3, 2, 4, 0, 3, 4, 3, 3, 2, 0, 1, 0, 0, 3, 2, 1, 1, 4, 4, 4, 2, 4, 3, 1, 0, 2, 3, 2, 1, 1, 1, 2, 3, 0, 0, 4, 2, 2, 2, 2, 2, 4, 1, 3, 4, 0, 3, 0, 0, 0, 4, 4, 2, 3, 0, 3, 4, 2, 1, 2, 4, 3, 1, 3, 3, 2, 2, 3, 0, 4, 3, 4, 3, 0, 0, 2, 1, 0, 1, 4, 3, 1, 1, 3, 3, 2, 3, 2, 1, 0, 4, 3, 3, 4, 3, 4, 2, 3, 4, 0, 0, 1, 3, 4, 3, 1, 1, 2, 3, 4, 3, 4, 3, 3, 0, 0, 0, 4, 3, 2, 1, 1, 0, 3, 3] pubkeycol1607 = [4, 1, 2, 3, 0, 0, 3, 0, 4, 0, 2, 1, 3, 3, 4, 1, 2, 3, 1, 0, 2, 0, 4, 1, 0, 3, 4, 1, 3, 3, 2, 2, 0, 2, 2, 0, 0, 0, 4, 2, 3, 0, 0, 3, 3, 2, 0, 0, 3, 2, 4, 1, 3, 3, 4, 3, 3, 2, 3, 1, 0, 1, 4, 1, 4, 4, 0, 0, 0, 4, 2, 3, 0, 4, 3, 2, 1, 2, 2, 4, 2, 2, 0, 4, 0, 1, 3, 2, 3, 3, 0, 1, 4, 4, 4, 2, 4, 1, 2, 2, 3, 2, 0, 2, 3, 4, 3, 4, 2, 1, 2, 0, 2, 4, 1, 2, 0, 4, 3, 2, 2, 4, 1, 0, 3, 3, 2, 2, 1, 0, 3, 4, 2, 4, 4, 0, 2, 1, 0, 4, 2, 2, 4, 2, 2, 1, 4, 4, 0, 2, 3, 1, 0, 2, 1, 4, 3, 3, 4, 4, 1, 3, 1, 4, 3, 2, 1, 1, 3, 3, 0, 1, 0, 1, 2, 2, 0, 3, 3, 0, 3, 3, 3, 2, 0, 0, 3, 1, 2, 2, 3, 1, 4, 3, 4, 2, 0, 1, 1, 0, 0, 3, 2, 1, 3, 1, 1, 1, 2, 3, 0, 0, 0, 3, 4, 3, 3, 4, 1, 2, 1, 4, 2, 0, 1, 1, 0, 3, 4, 4, 1, 1, 2, 4, 1, 3, 1, 0, 1, 4, 1, 0, 1, 0, 0, 2, 4, 3, 0, 3, 2, 2, 4, 0, 0, 3, 4, 2, 0, 3, 3, 1, 3, 2, 1, 4, 1, 0, 2, 2, 0, 2, 3, 3, 3, 4, 4, 1, 3, 0, 2, 2, 0, 1, 3, 2, 2, 3, 1, 2, 3, 4, 1, 2, 3, 0, 2, 0, 0, 0, 0, 1, 3, 3, 3, 2, 3, 1, 2, 0, 2, 2, 3, 1, 4, 3, 2, 4, 0, 4, 2, 2, 1, 1, 3, 0, 2, 0, 2, 2, 0, 0, 2, 3, 4, 2, 3, 2, 3, 2, 3, 1, 0, 4, 2, 0, 1, 2, 3, 0, 2, 0, 2, 1, 1, 2, 2, 4, 0, 0, 1, 1, 2, 2, 2, 4, 2, 4, 2, 3, 3, 2, 4, 1, 4, 3, 2, 1, 2, 3, 4, 1, 1, 3, 2, 1, 3, 2, 4, 2, 1, 2, 2, 1, 2, 3, 4, 0, 0, 4, 1, 3, 1, 0, 4, 4, 2, 1, 1, 2, 2, 1, 4, 1, 0, 2, 0, 1, 4, 1, 2, 4, 3, 1, 0, 0, 1, 3, 0, 1, 3, 2, 3, 4, 1, 3, 1, 1, 1, 4, 1, 4, 4, 3, 1, 4, 0, 0, 4, 0, 2, 1, 2, 3, 3, 1, 4, 1, 3, 1, 4, 2, 2, 2, 1, 3, 0, 2, 2, 2, 0, 2, 2, 0, 4, 3, 2, 3, 4, 2] pubkeycol1608 = [0, 4, 1, 3, 4, 4, 0, 4, 2, 2, 0, 3, 0, 1, 0, 2, 2, 2, 0, 0, 2, 3, 0, 4, 2, 4, 2, 1, 0, 1, 4, 0, 0, 4, 4, 3, 3, 4, 3, 0, 1, 1, 0, 3, 0, 1, 2, 2, 4, 3, 2, 2, 1, 0, 0, 2, 2, 3, 4, 0, 3, 3, 0, 0, 0, 3, 4, 0, 4, 0, 0, 3, 1, 4, 2, 0, 0, 2, 2, 3, 3, 4, 1, 0, 0, 1, 2, 2, 3, 1, 1, 2, 3, 4, 1, 0, 4, 3, 0, 2, 0, 3, 1, 0, 1, 3, 1, 3, 2, 0, 1, 0, 3, 4, 3, 4, 4, 4, 3, 1, 2, 3, 2, 4, 2, 4, 0, 4, 1, 3, 2, 1, 3, 1, 3, 0, 4, 2, 1, 1, 0, 0, 3, 1, 0, 4, 2, 3, 2, 1, 4, 0, 2, 1, 0, 4, 3, 0, 2, 0, 4, 2, 3, 0, 2, 3, 4, 1, 2, 1, 1, 2, 3, 3, 2, 0, 1, 2, 0, 4, 1, 1, 4, 1, 0, 0, 3, 0, 2, 0, 3, 1, 0, 1, 3, 3, 2, 4, 3, 1, 4, 2, 0, 2, 2, 4, 0, 4, 2, 4, 3, 4, 0, 2, 2, 3, 0, 1, 0, 1, 3, 0, 1, 4, 2, 2, 2, 2, 0, 3, 0, 3, 1, 0, 1, 1, 2, 3, 1, 2, 1, 4, 2, 4, 2, 2, 1, 4, 4, 0, 4, 3, 1, 3, 3, 3, 2, 2, 1, 1, 3, 2, 3, 0, 1, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 0, 1, 4, 1, 0, 1, 3, 3, 3, 1, 1, 3, 2, 4, 0, 3, 2, 0, 3, 4, 0, 0, 2, 1, 0, 4, 4, 2, 2, 2, 2, 0, 4, 4, 0, 1, 3, 1, 0, 1, 0, 0, 1, 2, 1, 1, 3, 4, 4, 2, 1, 2, 3, 2, 2, 2, 4, 2, 4, 0, 2, 1, 0, 3, 4, 3, 1, 1, 4, 2, 1, 1, 3, 3, 2, 4, 4, 3, 2, 0, 0, 0, 1, 1, 4, 4, 1, 4, 4, 0, 3, 1, 2, 3, 3, 1, 2, 2, 2, 4, 2, 0, 2, 2, 1, 2, 3, 2, 1, 3, 0, 3, 0, 0, 3, 2, 2, 3, 1, 1, 3, 2, 4, 2, 2, 2, 1, 4, 4, 4, 1, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 4, 4, 0, 1, 1, 1, 2, 0, 3, 2, 0, 1, 0, 4, 1, 2, 2, 4, 0, 3, 2, 1, 1, 4, 0, 4, 2, 3, 0, 1, 1, 1, 2, 2, 3, 1, 4, 1, 3, 0, 1, 4, 2, 2, 2, 3, 2, 0, 3, 2, 1, 2, 2, 1, 1, 4, 0, 2, 0, 2, 2] pubkeycol1609 = [1, 4, 3, 0, 0, 4, 1, 3, 4, 1, 2, 0, 4, 3, 1, 4, 1, 4, 3, 1, 1, 3, 4, 1, 1, 4, 4, 4, 1, 3, 4, 0, 3, 3, 2, 3, 2, 4, 1, 1, 0, 4, 4, 0, 4, 0, 4, 2, 0, 4, 4, 1, 0, 3, 0, 1, 3, 0, 1, 2, 2, 4, 0, 4, 3, 3, 2, 4, 1, 4, 2, 2, 4, 2, 4, 3, 4, 2, 3, 1, 4, 1, 4, 1, 3, 2, 4, 0, 0, 3, 0, 1, 3, 2, 2, 2, 4, 0, 3, 1, 4, 0, 0, 2, 0, 1, 2, 4, 0, 3, 3, 4, 1, 2, 2, 1, 2, 3, 3, 0, 2, 3, 2, 2, 1, 3, 0, 4, 0, 2, 2, 2, 0, 1, 4, 3, 2, 3, 2, 3, 1, 3, 0, 4, 3, 4, 1, 1, 2, 1, 0, 4, 3, 2, 2, 0, 0, 0, 3, 2, 1, 2, 1, 3, 4, 1, 0, 3, 3, 3, 3, 3, 0, 4, 1, 3, 1, 3, 0, 3, 1, 4, 3, 0, 0, 1, 0, 1, 4, 4, 1, 1, 0, 1, 2, 3, 4, 4, 1, 4, 0, 1, 0, 1, 1, 1, 2, 4, 0, 2, 3, 1, 0, 2, 1, 3, 0, 4, 3, 2, 4, 4, 0, 0, 3, 0, 0, 4, 0, 3, 3, 3, 4, 4, 3, 4, 1, 2, 0, 4, 4, 0, 3, 3, 4, 2, 3, 2, 3, 1, 3, 4, 1, 4, 3, 0, 3, 2, 3, 1, 3, 0, 1, 4, 1, 3, 2, 2, 2, 0, 2, 0, 3, 1, 1, 4, 1, 1, 2, 4, 4, 2, 1, 1, 0, 1, 0, 4, 4, 1, 0, 1, 3, 0, 0, 3, 3, 2, 2, 1, 4, 4, 1, 2, 0, 1, 1, 3, 4, 2, 0, 2, 0, 0, 3, 1, 0, 3, 1, 3, 3, 3, 3, 1, 4, 3, 0, 1, 0, 3, 0, 1, 4, 3, 2, 3, 3, 3, 2, 2, 3, 4, 0, 2, 4, 4, 3, 4, 0, 2, 1, 0, 2, 2, 4, 2, 4, 0, 1, 2, 2, 4, 1, 2, 1, 3, 2, 4, 0, 3, 4, 0, 0, 3, 4, 3, 0, 0, 1, 2, 3, 1, 3, 4, 1, 0, 4, 1, 1, 4, 4, 3, 0, 1, 3, 3, 4, 1, 3, 2, 3, 1, 3, 4, 0, 4, 2, 3, 4, 4, 1, 4, 4, 1, 0, 1, 1, 3, 0, 2, 3, 0, 2, 2, 2, 3, 0, 3, 4, 2, 1, 1, 4, 0, 1, 3, 3, 3, 2, 3, 0, 0, 1, 1, 4, 0, 3, 0, 4, 1, 4, 2, 2, 0, 1, 3, 4, 3, 3, 2, 2, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 4, 0, 1, 0, 3, 1] pubkeycol1610 = [1, 3, 2, 4, 1, 4, 0, 3, 3, 4, 4, 0, 4, 2, 4, 4, 3, 4, 4, 2, 0, 4, 4, 4, 1, 4, 3, 2, 3, 1, 3, 2, 2, 2, 4, 0, 2, 0, 0, 2, 4, 1, 2, 2, 4, 2, 1, 3, 3, 2, 1, 4, 4, 4, 0, 4, 4, 2, 2, 3, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 4, 1, 3, 1, 4, 0, 4, 0, 4, 4, 3, 4, 0, 4, 2, 0, 0, 0, 4, 4, 2, 4, 3, 0, 4, 2, 4, 2, 2, 0, 1, 4, 1, 1, 3, 2, 0, 2, 3, 2, 0, 3, 1, 0, 2, 1, 4, 3, 3, 1, 3, 3, 4, 4, 4, 2, 1, 4, 1, 2, 0, 2, 1, 3, 4, 1, 1, 4, 4, 2, 1, 0, 3, 4, 4, 0, 3, 2, 0, 0, 1, 1, 3, 0, 3, 0, 4, 0, 2, 3, 2, 1, 1, 0, 3, 0, 3, 3, 2, 3, 0, 2, 3, 4, 1, 2, 1, 0, 2, 3, 4, 0, 2, 4, 2, 1, 4, 1, 1, 4, 3, 0, 3, 0, 3, 2, 3, 1, 1, 4, 3, 1, 2, 0, 1, 3, 4, 0, 4, 0, 0, 2, 3, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 4, 3, 0, 3, 4, 0, 2, 3, 4, 0, 4, 1, 3, 4, 4, 3, 4, 4, 4, 0, 1, 0, 3, 4, 4, 2, 4, 3, 4, 3, 3, 4, 3, 1, 1, 2, 0, 0, 4, 1, 2, 0, 1, 4, 4, 3, 4, 1, 1, 1, 4, 4, 2, 4, 3, 1, 1, 3, 1, 3, 4, 4, 3, 2, 3, 2, 0, 4, 3, 1, 1, 2, 4, 2, 0, 1, 1, 0, 2, 1, 3, 2, 1, 4, 2, 4, 1, 1, 0, 1, 0, 1, 1, 2, 4, 2, 0, 3, 1, 3, 0, 0, 1, 3, 0, 2, 1, 2, 1, 4, 2, 1, 1, 2, 4, 4, 3, 2, 1, 3, 0, 4, 2, 1, 3, 1, 3, 0, 1, 4, 0, 3, 3, 4, 0, 4, 1, 3, 0, 3, 0, 3, 0, 3, 1, 4, 4, 4, 3, 3, 2, 3, 4, 3, 4, 3, 4, 2, 3, 0, 4, 1, 1, 3, 1, 0, 0, 1, 0, 1, 0, 0, 4, 3, 2, 2, 4, 2, 1, 0, 4, 1, 4, 0, 0, 3, 2, 3, 0, 0, 0, 3, 3, 1, 4, 0, 4, 2, 0, 0, 3, 4, 2, 0, 4, 3, 0, 3, 4, 0, 0, 4, 2, 4, 0, 3, 2, 1, 0, 1, 4, 4, 4, 0, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 0, 0, 3, 3, 3, 0, 3, 0, 3, 2, 0, 0, 4] pubkeycol1611 = [3, 4, 2, 3, 0, 2, 2, 3, 1, 4, 2, 2, 2, 4, 4, 0, 1, 1, 4, 2, 4, 1, 0, 4, 3, 2, 3, 4, 2, 0, 0, 0, 3, 2, 3, 1, 1, 3, 1, 2, 2, 4, 4, 4, 1, 0, 1, 3, 2, 2, 3, 4, 2, 2, 2, 2, 1, 1, 4, 2, 3, 0, 1, 3, 1, 1, 0, 1, 4, 2, 2, 3, 3, 4, 3, 4, 1, 1, 0, 4, 0, 3, 0, 4, 2, 1, 4, 1, 2, 1, 4, 3, 0, 2, 4, 0, 0, 0, 2, 0, 1, 3, 4, 0, 0, 0, 0, 3, 3, 4, 4, 1, 4, 1, 1, 0, 3, 2, 4, 0, 2, 2, 2, 0, 2, 4, 4, 1, 1, 2, 4, 1, 2, 3, 3, 0, 2, 0, 4, 1, 4, 4, 1, 0, 1, 1, 0, 4, 4, 0, 1, 1, 3, 4, 0, 1, 2, 2, 4, 4, 4, 2, 0, 0, 4, 3, 0, 1, 3, 3, 0, 4, 4, 4, 3, 3, 0, 1, 3, 4, 0, 2, 4, 1, 4, 4, 4, 1, 4, 2, 1, 0, 0, 0, 3, 2, 4, 0, 4, 0, 3, 2, 3, 3, 2, 0, 1, 2, 3, 2, 1, 4, 2, 0, 2, 2, 2, 2, 1, 4, 4, 2, 4, 2, 4, 2, 3, 2, 0, 3, 1, 0, 0, 1, 4, 4, 3, 4, 0, 0, 4, 4, 3, 3, 1, 3, 0, 2, 1, 4, 0, 3, 3, 2, 1, 2, 0, 4, 4, 3, 2, 1, 4, 4, 0, 3, 0, 0, 3, 4, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 4, 0, 4, 4, 2, 1, 3, 3, 3, 3, 3, 4, 3, 2, 0, 3, 4, 0, 0, 2, 1, 4, 2, 0, 0, 0, 0, 4, 3, 2, 1, 0, 2, 0, 4, 2, 3, 4, 3, 1, 2, 4, 4, 1, 4, 1, 0, 4, 3, 0, 2, 3, 2, 3, 3, 1, 0, 3, 0, 1, 1, 0, 1, 4, 3, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 3, 4, 0, 2, 0, 0, 1, 2, 3, 2, 4, 2, 2, 1, 3, 2, 0, 4, 3, 2, 2, 1, 3, 4, 0, 2, 3, 0, 3, 3, 1, 4, 2, 3, 1, 3, 4, 3, 4, 4, 1, 3, 0, 2, 3, 4, 3, 1, 3, 4, 2, 2, 3, 3, 4, 0, 3, 1, 1, 3, 4, 4, 0, 4, 0, 4, 0, 4, 3, 2, 1, 1, 0, 4, 1, 3, 1, 4, 3, 0, 3, 0, 0, 1, 2, 3, 0, 1, 4, 4, 1, 3, 3, 2, 1, 0, 3, 3, 0, 3, 1, 2, 3, 1, 2, 3, 4, 2, 1, 0, 1, 2, 1, 4, 2, 3, 2, 0, 3, 2, 1, 4, 3, 2, 1] pubkeycol1612 = [2, 0, 1, 3, 4, 2, 0, 0, 0, 3, 2, 1, 1, 2, 4, 1, 0, 0, 0, 1, 1, 4, 2, 2, 1, 1, 4, 2, 2, 4, 3, 3, 2, 3, 3, 0, 2, 0, 1, 4, 2, 2, 0, 1, 0, 3, 0, 4, 3, 2, 0, 2, 4, 2, 1, 0, 4, 4, 1, 1, 2, 4, 0, 4, 4, 1, 3, 3, 0, 2, 1, 3, 4, 3, 2, 3, 2, 4, 1, 4, 0, 3, 1, 0, 2, 4, 4, 0, 0, 1, 2, 4, 3, 4, 1, 2, 2, 4, 1, 3, 3, 2, 0, 4, 1, 1, 4, 3, 3, 4, 1, 4, 3, 4, 4, 1, 1, 3, 0, 0, 2, 0, 1, 3, 2, 0, 3, 2, 0, 1, 4, 1, 1, 2, 2, 3, 0, 2, 2, 0, 3, 3, 3, 3, 3, 0, 1, 2, 2, 2, 4, 3, 0, 2, 3, 0, 0, 3, 4, 2, 2, 2, 3, 1, 1, 3, 2, 1, 1, 4, 1, 2, 0, 4, 3, 0, 4, 2, 4, 1, 0, 3, 1, 3, 2, 0, 3, 3, 4, 2, 2, 4, 1, 0, 1, 3, 2, 1, 1, 0, 2, 4, 3, 4, 0, 1, 0, 0, 0, 1, 0, 4, 0, 4, 2, 4, 4, 4, 3, 3, 1, 3, 3, 4, 0, 3, 1, 1, 1, 4, 0, 1, 4, 1, 2, 3, 2, 3, 4, 4, 3, 4, 1, 2, 1, 4, 2, 2, 0, 1, 1, 1, 0, 1, 1, 3, 0, 3, 1, 4, 3, 3, 4, 2, 2, 1, 2, 2, 2, 0, 0, 1, 4, 2, 1, 4, 4, 0, 4, 3, 2, 2, 3, 4, 0, 4, 1, 1, 1, 2, 3, 4, 4, 1, 4, 4, 2, 2, 2, 0, 1, 1, 3, 3, 4, 0, 2, 0, 4, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 4, 0, 0, 2, 1, 4, 1, 1, 1, 3, 3, 1, 2, 3, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 3, 4, 1, 4, 1, 2, 3, 0, 3, 3, 0, 0, 0, 3, 0, 2, 3, 2, 1, 0, 4, 4, 0, 0, 0, 2, 3, 4, 0, 4, 3, 0, 2, 3, 3, 0, 2, 4, 1, 1, 3, 0, 3, 1, 2, 2, 2, 0, 0, 4, 2, 0, 3, 2, 4, 2, 2, 2, 0, 0, 3, 4, 0, 0, 0, 2, 1, 3, 0, 3, 4, 0, 3, 0, 4, 3, 3, 2, 4, 0, 2, 4, 1, 3, 3, 3, 0, 4, 3, 1, 3, 0, 4, 0, 0, 4, 1, 0, 4, 1, 3, 0, 4, 0, 3, 3, 3, 1, 3, 0, 1, 3, 4, 0, 4, 4, 3, 0, 4, 3, 0, 0, 0, 0, 0, 4, 0] pubkeycol1613 = [4, 1, 4, 3, 1, 3, 0, 4, 3, 2, 3, 0, 3, 3, 2, 4, 2, 4, 2, 3, 0, 4, 1, 4, 2, 4, 1, 4, 0, 1, 0, 0, 3, 3, 0, 4, 2, 4, 0, 3, 2, 0, 0, 3, 0, 2, 4, 1, 0, 2, 3, 4, 0, 1, 4, 2, 2, 4, 4, 3, 1, 1, 0, 4, 2, 2, 1, 2, 3, 4, 1, 1, 1, 2, 2, 1, 3, 1, 4, 2, 2, 2, 4, 4, 1, 4, 2, 4, 3, 2, 4, 4, 0, 0, 4, 0, 0, 4, 1, 3, 3, 3, 1, 2, 4, 1, 3, 0, 4, 0, 2, 2, 0, 0, 0, 4, 1, 0, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 4, 2, 3, 3, 0, 4, 3, 4, 1, 0, 2, 4, 4, 1, 1, 2, 0, 1, 3, 4, 1, 4, 0, 4, 2, 3, 0, 3, 1, 4, 1, 1, 3, 2, 1, 3, 4, 0, 2, 3, 0, 2, 3, 3, 2, 0, 4, 0, 3, 2, 3, 3, 2, 1, 1, 3, 0, 0, 3, 1, 3, 4, 3, 1, 3, 0, 1, 2, 3, 1, 4, 0, 2, 4, 2, 4, 3, 1, 4, 0, 4, 4, 0, 1, 2, 0, 0, 0, 3, 2, 3, 3, 4, 4, 4, 4, 2, 4, 0, 4, 3, 4, 4, 0, 1, 4, 3, 2, 0, 3, 0, 1, 3, 3, 4, 4, 4, 0, 1, 1, 4, 1, 2, 0, 3, 3, 3, 1, 3, 2, 1, 3, 4, 1, 0, 3, 2, 0, 0, 3, 2, 4, 4, 2, 2, 2, 1, 3, 3, 4, 3, 1, 3, 3, 0, 0, 4, 2, 2, 0, 1, 2, 0, 1, 4, 2, 4, 4, 3, 3, 4, 2, 3, 1, 3, 0, 3, 1, 3, 4, 4, 0, 2, 1, 2, 3, 0, 2, 0, 0, 0, 0, 4, 4, 3, 4, 3, 2, 2, 1, 1, 4, 4, 2, 4, 2, 4, 0, 3, 3, 3, 0, 3, 1, 0, 0, 4, 3, 3, 4, 2, 3, 2, 4, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 4, 2, 3, 2, 0, 0, 0, 2, 3, 4, 0, 2, 2, 3, 4, 2, 3, 4, 4, 1, 2, 1, 2, 3, 4, 4, 4, 4, 4, 1, 3, 0, 1, 1, 1, 0, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 4, 0, 4, 4, 0, 3, 4, 3, 3, 3, 2, 1, 0, 4, 3, 3, 2, 1, 0, 4, 2, 4, 4, 3, 2, 3, 4, 2, 2, 2, 1, 0, 2, 3, 4, 1, 2, 2, 3, 0, 4, 3, 3, 0, 1, 4, 4, 0, 3, 4, 3, 4, 3, 1, 0, 3, 4, 0, 0, 1, 3, 4, 2, 4, 0, 2, 3, 3, 2] pubkeycol1614 = [0, 1, 4, 2, 0, 3, 4, 0, 3, 4, 3, 3, 3, 0, 2, 3, 4, 4, 0, 3, 0, 2, 2, 1, 2, 0, 0, 3, 3, 0, 1, 4, 3, 4, 4, 3, 3, 4, 2, 1, 4, 4, 0, 1, 3, 3, 1, 4, 3, 2, 3, 4, 0, 3, 4, 4, 0, 0, 1, 3, 3, 1, 3, 3, 2, 3, 2, 0, 2, 0, 3, 0, 0, 4, 1, 4, 4, 3, 1, 2, 4, 3, 1, 2, 4, 0, 1, 3, 2, 4, 3, 4, 2, 1, 4, 3, 4, 3, 2, 1, 1, 2, 2, 2, 0, 0, 0, 3, 0, 3, 3, 4, 2, 1, 0, 0, 3, 3, 0, 0, 4, 0, 0, 2, 3, 0, 1, 4, 3, 0, 4, 4, 0, 0, 4, 4, 3, 0, 2, 3, 1, 1, 4, 2, 1, 0, 2, 4, 1, 1, 2, 4, 3, 4, 0, 4, 3, 3, 3, 0, 4, 2, 0, 3, 0, 4, 0, 2, 3, 1, 2, 3, 1, 4, 2, 3, 1, 2, 1, 1, 3, 1, 0, 3, 0, 4, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 3, 0, 3, 2, 0, 4, 2, 0, 4, 0, 4, 1, 3, 1, 4, 1, 0, 3, 2, 4, 4, 0, 0, 0, 2, 3, 3, 0, 3, 2, 3, 3, 1, 1, 1, 3, 3, 2, 2, 2, 2, 4, 3, 3, 4, 2, 1, 0, 2, 1, 0, 2, 2, 3, 4, 4, 0, 3, 0, 1, 0, 0, 0, 2, 2, 4, 0, 0, 0, 2, 2, 3, 4, 2, 2, 2, 1, 4, 3, 4, 4, 4, 0, 3, 0, 4, 2, 2, 1, 3, 0, 4, 1, 1, 1, 2, 4, 2, 3, 2, 3, 1, 4, 0, 0, 3, 4, 3, 4, 1, 2, 3, 1, 0, 0, 0, 4, 0, 4, 0, 3, 2, 4, 3, 4, 1, 2, 1, 0, 0, 2, 4, 3, 4, 4, 0, 1, 4, 0, 3, 2, 2, 0, 0, 3, 1, 0, 4, 4, 3, 2, 1, 2, 1, 4, 2, 1, 2, 4, 2, 3, 1, 2, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 3, 4, 4, 1, 1, 0, 4, 2, 3, 1, 3, 2, 4, 1, 2, 4, 3, 0, 4, 2, 3, 0, 3, 1, 3, 0, 0, 2, 2, 4, 2, 1, 0, 4, 1, 4, 4, 1, 3, 2, 1, 3, 2, 3, 1, 3, 4, 1, 3, 1, 2, 4, 3, 4, 3, 1, 1, 4, 3, 0, 2, 4, 2, 4, 3, 1, 1, 2, 2, 3, 4, 2, 3, 2, 4, 0, 4, 1, 2, 2, 0, 0, 4, 0, 2, 1, 1, 1, 2, 2, 3, 4, 0, 1, 3, 1, 2, 4, 2, 0, 2, 0, 2, 4, 2, 4, 0] pubkeycol1615 = [2, 4, 0, 1, 2, 3, 1, 0, 0, 4, 2, 2, 2, 0, 4, 0, 4, 4, 1, 0, 1, 3, 4, 0, 3, 4, 4, 4, 4, 1, 2, 3, 2, 4, 4, 2, 0, 4, 1, 4, 3, 1, 4, 0, 4, 1, 1, 2, 1, 4, 1, 2, 1, 1, 1, 4, 2, 2, 2, 4, 3, 2, 3, 1, 3, 2, 3, 1, 4, 3, 1, 0, 3, 3, 4, 4, 3, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 4, 2, 0, 2, 1, 2, 0, 2, 1, 0, 4, 3, 0, 3, 1, 4, 4, 0, 4, 2, 3, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 4, 4, 3, 4, 4, 1, 2, 1, 4, 1, 3, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 3, 0, 4, 4, 3, 0, 4, 1, 2, 3, 4, 2, 0, 0, 0, 4, 4, 3, 0, 1, 2, 3, 0, 2, 1, 0, 0, 4, 4, 2, 4, 4, 1, 2, 2, 1, 4, 1, 0, 2, 4, 2, 4, 4, 1, 4, 3, 0, 4, 4, 2, 3, 2, 3, 2, 0, 2, 4, 1, 3, 1, 2, 2, 3, 3, 4, 4, 3, 1, 2, 4, 3, 1, 0, 2, 0, 3, 1, 3, 0, 3, 2, 2, 4, 1, 2, 3, 2, 3, 3, 4, 4, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 3, 4, 2, 0, 4, 0, 1, 4, 1, 2, 0, 2, 4, 1, 4, 2, 4, 3, 0, 0, 1, 3, 1, 1, 1, 1, 2, 0, 3, 3, 4, 2, 1, 0, 0, 1, 4, 1, 2, 1, 1, 4, 2, 0, 1, 4, 4, 2, 2, 3, 3, 2, 2, 1, 0, 3, 2, 2, 4, 1, 2, 0, 2, 0, 4, 2, 4, 3, 0, 0, 1, 3, 0, 1, 2, 3, 0, 2, 4, 2, 2, 1, 1, 4, 2, 2, 1, 0, 3, 3, 0, 4, 2, 4, 4, 0, 1, 2, 1, 2, 1, 3, 4, 3, 1, 0, 4, 4, 1, 4, 4, 3, 4, 2, 2, 0, 2, 1, 0, 2, 3, 1, 2, 3, 3, 4, 0, 1, 0, 0, 4, 3, 2, 4, 3, 0, 3, 3, 4, 1, 1, 2, 4, 0, 1, 2, 4, 2, 3, 1, 0, 0, 0, 3, 3, 1, 3, 2, 4, 1, 0, 4, 3, 0, 4, 3, 0, 3, 4, 3, 2, 2, 4, 4, 1, 0, 2, 1, 0, 4, 1, 0, 1, 3, 2, 2, 1, 3, 1, 3, 3, 0, 3, 0, 2, 0, 3, 0, 4, 1, 4, 1, 0, 4, 0, 3, 2, 2, 3, 0, 3, 2, 3, 2, 4, 4, 4, 1, 1, 4, 2, 0, 1, 0, 3, 0, 4, 3, 0, 4] pubkeycol1616 = [0, 1, 1, 3, 4, 3, 4, 0, 3, 2, 2, 1, 0, 0, 3, 2, 1, 4, 4, 3, 1, 1, 4, 0, 3, 2, 0, 2, 2, 4, 3, 0, 3, 4, 0, 4, 2, 3, 3, 0, 2, 0, 2, 2, 1, 3, 0, 3, 0, 0, 4, 2, 4, 1, 3, 0, 0, 3, 0, 2, 0, 0, 3, 0, 2, 0, 4, 0, 0, 3, 2, 2, 2, 3, 4, 2, 4, 1, 0, 1, 3, 1, 4, 2, 2, 2, 2, 0, 0, 2, 4, 3, 0, 4, 3, 1, 3, 4, 0, 1, 4, 2, 3, 4, 2, 4, 2, 2, 4, 2, 2, 3, 3, 3, 3, 1, 4, 4, 3, 4, 1, 4, 4, 2, 4, 4, 1, 0, 2, 0, 0, 0, 3, 2, 3, 3, 2, 2, 3, 4, 1, 2, 2, 2, 0, 0, 1, 3, 2, 1, 4, 3, 4, 1, 0, 3, 2, 2, 4, 0, 4, 0, 0, 2, 0, 1, 2, 1, 3, 0, 3, 3, 2, 2, 1, 2, 4, 3, 1, 1, 2, 2, 1, 0, 1, 4, 1, 2, 1, 1, 2, 4, 4, 2, 4, 3, 0, 4, 4, 2, 1, 4, 4, 2, 3, 1, 4, 4, 0, 0, 2, 2, 3, 3, 1, 0, 2, 4, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 0, 3, 0, 0, 0, 3, 1, 1, 3, 0, 0, 4, 2, 1, 3, 0, 3, 1, 2, 1, 4, 0, 3, 1, 1, 3, 2, 4, 1, 4, 0, 3, 1, 4, 3, 4, 1, 4, 3, 3, 1, 1, 4, 4, 3, 0, 0, 4, 0, 2, 3, 3, 2, 0, 3, 1, 0, 2, 1, 1, 2, 4, 0, 1, 3, 4, 1, 4, 0, 1, 4, 0, 2, 1, 1, 4, 4, 2, 0, 0, 4, 2, 0, 3, 1, 2, 3, 0, 1, 4, 1, 2, 0, 3, 0, 2, 4, 4, 4, 4, 4, 2, 1, 2, 4, 3, 1, 4, 1, 0, 2, 3, 3, 3, 4, 0, 3, 0, 4, 1, 0, 2, 0, 2, 4, 3, 4, 1, 4, 3, 3, 0, 0, 1, 1, 1, 3, 2, 0, 2, 2, 4, 2, 0, 1, 1, 0, 3, 3, 4, 2, 3, 2, 1, 1, 2, 1, 2, 4, 3, 1, 4, 1, 4, 3, 2, 1, 1, 0, 0, 2, 0, 1, 0, 4, 2, 4, 0, 3, 3, 3, 0, 0, 1, 4, 3, 2, 3, 0, 2, 2, 1, 2, 3, 0, 1, 0, 0, 2, 3, 1, 4, 1, 4, 2, 1, 4, 1, 0, 3, 2, 3, 3, 2, 3, 1, 3, 4, 3, 1, 3, 4, 3, 3, 2, 1, 1, 4, 2, 4, 3, 0, 0, 0, 4, 2, 3, 1, 0, 4, 4, 1, 4, 4] pubkeycol1617 = [2, 2, 2, 1, 0, 0, 0, 4, 2, 1, 4, 3, 2, 0, 2, 1, 3, 4, 2, 1, 0, 0, 1, 4, 0, 2, 2, 2, 1, 1, 3, 4, 2, 2, 2, 3, 2, 2, 4, 0, 4, 1, 2, 3, 0, 2, 1, 2, 4, 2, 0, 4, 3, 2, 0, 0, 3, 2, 3, 3, 4, 2, 0, 3, 4, 3, 1, 0, 0, 4, 4, 3, 4, 3, 0, 0, 1, 3, 2, 1, 1, 2, 0, 1, 1, 4, 3, 1, 2, 2, 4, 0, 2, 2, 1, 4, 3, 4, 3, 0, 2, 2, 2, 3, 4, 1, 4, 1, 3, 0, 1, 2, 0, 2, 3, 4, 3, 4, 4, 4, 1, 3, 0, 3, 3, 0, 1, 0, 1, 4, 0, 4, 4, 0, 4, 4, 1, 3, 4, 3, 1, 0, 4, 1, 0, 0, 4, 1, 0, 0, 3, 2, 3, 2, 0, 4, 2, 0, 1, 0, 2, 1, 1, 4, 2, 2, 3, 1, 2, 1, 2, 2, 3, 1, 3, 4, 1, 2, 4, 4, 3, 4, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 2, 2, 3, 3, 2, 3, 1, 0, 0, 1, 3, 3, 2, 2, 4, 4, 4, 0, 4, 2, 2, 0, 4, 3, 4, 2, 4, 4, 4, 2, 2, 2, 1, 2, 1, 3, 0, 3, 2, 4, 3, 2, 4, 0, 1, 0, 4, 4, 3, 4, 0, 4, 2, 0, 1, 1, 1, 3, 1, 0, 4, 0, 3, 1, 0, 0, 3, 2, 4, 0, 1, 4, 2, 4, 4, 0, 0, 2, 3, 3, 2, 2, 4, 2, 0, 0, 1, 2, 3, 2, 2, 0, 0, 3, 0, 1, 0, 2, 4, 1, 3, 4, 0, 4, 4, 1, 2, 1, 1, 3, 0, 0, 1, 1, 3, 0, 0, 0, 1, 3, 1, 0, 0, 3, 3, 3, 1, 2, 0, 1, 0, 4, 1, 4, 2, 1, 1, 4, 1, 4, 0, 0, 3, 1, 2, 2, 4, 3, 4, 4, 2, 3, 2, 1, 2, 4, 3, 2, 2, 1, 1, 0, 4, 1, 1, 2, 1, 1, 2, 0, 2, 0, 3, 4, 4, 3, 0, 1, 3, 4, 3, 0, 4, 1, 3, 2, 2, 3, 0, 4, 0, 4, 1, 1, 2, 3, 0, 3, 3, 0, 4, 4, 1, 4, 3, 2, 2, 1, 3, 0, 4, 1, 1, 4, 2, 0, 1, 1, 2, 0, 1, 1, 0, 3, 3, 4, 1, 2, 1, 4, 2, 1, 2, 2, 4, 1, 4, 2, 2, 2, 3, 1, 3, 2, 2, 3, 3, 0, 1, 3, 0, 2, 1, 3, 4, 4, 4, 3, 0, 1, 4, 1, 0, 4, 1, 0, 3, 4, 2, 1, 2, 3, 1, 4, 0, 2, 1, 4, 4, 3, 4, 3, 0, 3, 0, 4, 3, 2] pubkeycol1618 = [4, 0, 2, 0, 4, 3, 0, 2, 2, 1, 4, 4, 1, 1, 3, 4, 1, 1, 4, 3, 2, 1, 4, 3, 2, 0, 1, 2, 3, 0, 2, 1, 4, 3, 2, 1, 2, 2, 3, 2, 4, 3, 2, 3, 1, 1, 2, 1, 2, 3, 0, 1, 3, 2, 0, 1, 3, 0, 2, 0, 4, 0, 0, 4, 1, 3, 3, 0, 3, 2, 1, 1, 4, 0, 4, 4, 4, 1, 0, 0, 4, 1, 1, 1, 4, 4, 4, 2, 0, 3, 0, 1, 4, 2, 4, 1, 4, 0, 2, 2, 1, 4, 2, 4, 4, 1, 0, 1, 2, 0, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 1, 2, 3, 0, 4, 0, 4, 0, 4, 0, 4, 3, 1, 3, 1, 0, 4, 2, 3, 1, 2, 4, 3, 4, 4, 0, 1, 4, 4, 4, 2, 3, 3, 4, 1, 0, 4, 1, 1, 1, 2, 2, 3, 2, 2, 4, 3, 1, 4, 1, 3, 3, 3, 1, 4, 0, 3, 2, 4, 4, 4, 4, 1, 4, 4, 3, 3, 1, 0, 1, 2, 2, 1, 4, 3, 4, 4, 0, 1, 2, 0, 3, 0, 4, 1, 0, 2, 2, 2, 1, 3, 4, 3, 0, 2, 0, 4, 3, 3, 3, 1, 2, 3, 4, 0, 4, 1, 2, 0, 4, 3, 1, 2, 1, 4, 4, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 3, 1, 4, 0, 0, 0, 4, 2, 4, 0, 3, 3, 0, 3, 0, 1, 1, 0, 1, 2, 3, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 4, 0, 2, 2, 1, 3, 3, 3, 4, 4, 4, 3, 0, 2, 0, 1, 3, 2, 1, 4, 3, 0, 0, 0, 1, 2, 4, 1, 2, 2, 0, 1, 1, 4, 0, 2, 1, 3, 1, 2, 1, 0, 1, 1, 4, 0, 3, 4, 4, 0, 0, 0, 0, 2, 4, 0, 2, 1, 1, 1, 2, 0, 3, 4, 1, 3, 2, 3, 2, 2, 2, 4, 1, 0, 1, 4, 1, 0, 0, 1, 3, 0, 0, 0, 3, 1, 1, 0, 0, 1, 2, 4, 0, 2, 3, 1, 2, 3, 4, 2, 0, 2, 1, 3, 3, 1, 3, 4, 1, 4, 4, 0, 0, 1, 3, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 1, 1, 4, 4, 0, 4, 4, 3, 3, 4, 4, 0, 1, 0, 3, 2, 4, 4, 1, 0, 2, 2, 3, 3, 4, 2, 3, 4, 4, 3, 3, 0, 3, 3, 2, 3, 1, 4, 1, 2, 0, 3, 0, 0, 2, 3, 0, 4, 0, 0, 2, 0, 0, 3, 2, 4, 0, 1, 0, 4, 1, 2, 4, 1, 2, 4, 0, 4, 3, 3, 3, 4, 0, 3, 2, 0] pubkeycol1619 = [3, 1, 3, 1, 3, 3, 4, 2, 4, 3, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 3, 3, 2, 3, 0, 0, 1, 1, 4, 4, 4, 2, 3, 1, 0, 3, 2, 0, 4, 1, 4, 1, 2, 3, 3, 0, 0, 1, 4, 1, 3, 4, 3, 2, 2, 4, 3, 2, 1, 0, 2, 4, 1, 3, 3, 0, 0, 4, 2, 2, 2, 1, 3, 4, 1, 0, 0, 0, 3, 2, 3, 3, 2, 0, 1, 3, 1, 2, 3, 3, 3, 3, 4, 0, 4, 1, 2, 1, 3, 0, 4, 3, 2, 0, 1, 4, 1, 1, 2, 0, 4, 1, 1, 2, 1, 3, 2, 0, 1, 0, 1, 2, 0, 0, 2, 3, 0, 1, 0, 3, 4, 0, 0, 1, 3, 0, 0, 4, 3, 3, 2, 0, 4, 2, 2, 1, 1, 4, 0, 2, 4, 1, 1, 2, 3, 3, 3, 1, 0, 0, 0, 0, 4, 0, 2, 3, 2, 2, 3, 1, 2, 0, 3, 2, 2, 0, 0, 1, 2, 3, 1, 2, 4, 3, 0, 1, 2, 0, 3, 3, 4, 2, 0, 3, 1, 4, 3, 1, 0, 4, 0, 4, 3, 3, 0, 0, 3, 0, 3, 4, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 4, 4, 4, 2, 3, 0, 1, 4, 4, 1, 0, 4, 1, 1, 3, 4, 2, 1, 1, 4, 0, 1, 0, 1, 2, 4, 4, 2, 3, 0, 1, 3, 3, 3, 2, 1, 3, 1, 3, 2, 1, 1, 1, 0, 1, 2, 3, 0, 2, 0, 2, 1, 4, 3, 3, 4, 4, 3, 3, 2, 2, 0, 1, 4, 2, 2, 3, 4, 2, 3, 0, 3, 0, 1, 2, 3, 2, 3, 3, 2, 0, 0, 1, 0, 0, 2, 0, 2, 3, 4, 2, 3, 0, 0, 3, 4, 3, 2, 0, 2, 3, 0, 1, 4, 3, 3, 0, 1, 2, 0, 3, 4, 3, 0, 4, 0, 3, 2, 4, 0, 4, 3, 1, 1, 1, 4, 1, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 3, 1, 4, 1, 4, 4, 2, 1, 1, 1, 2, 2, 4, 3, 1, 0, 0, 1, 1, 0, 2, 2, 4, 3, 4, 2, 2, 0, 0, 2, 4, 2, 0, 1, 1, 1, 0, 4, 0, 3, 4, 2, 4, 3, 2, 1, 3, 2, 0, 2, 4, 2, 3, 0, 3, 1, 2, 0, 0, 3, 4, 1, 4, 0, 3, 3, 0, 3, 2, 1, 0, 4, 1, 1, 4, 4, 1, 4, 2, 0, 3, 4, 1, 3, 1, 1, 2, 0, 2, 0, 2, 3, 2, 4, 1, 2, 0, 4, 4, 3, 0, 0, 4, 2, 2, 3, 2, 3, 2, 2, 1] pubkeycol1620 = [2, 0, 0, 2, 2, 4, 2, 1, 4, 1, 3, 4, 1, 3, 0, 4, 4, 1, 1, 3, 4, 2, 1, 3, 3, 1, 3, 3, 0, 4, 2, 0, 4, 4, 4, 0, 0, 3, 3, 2, 2, 3, 2, 2, 1, 1, 4, 3, 2, 0, 2, 3, 4, 2, 0, 1, 0, 3, 1, 3, 0, 3, 4, 0, 0, 3, 4, 0, 3, 2, 2, 1, 2, 4, 3, 0, 2, 4, 1, 3, 3, 4, 4, 0, 4, 4, 2, 2, 1, 2, 3, 3, 0, 0, 2, 4, 3, 4, 0, 3, 1, 3, 1, 0, 1, 3, 1, 4, 0, 2, 1, 4, 0, 0, 2, 4, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 3, 2, 0, 4, 4, 2, 1, 4, 0, 1, 3, 0, 1, 4, 0, 4, 4, 2, 1, 1, 3, 2, 1, 2, 2, 2, 3, 0, 3, 3, 4, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 4, 4, 4, 4, 4, 3, 1, 1, 0, 3, 3, 1, 1, 0, 3, 1, 4, 0, 2, 0, 4, 2, 3, 1, 1, 3, 2, 2, 0, 3, 0, 4, 0, 2, 3, 3, 3, 4, 0, 3, 4, 1, 0, 1, 2, 2, 4, 1, 3, 4, 0, 0, 1, 2, 0, 1, 3, 2, 1, 0, 0, 3, 0, 4, 1, 4, 2, 2, 1, 1, 1, 3, 1, 4, 0, 1, 1, 1, 4, 0, 4, 2, 0, 2, 2, 3, 4, 4, 2, 3, 0, 0, 4, 0, 1, 4, 3, 0, 2, 1, 0, 1, 3, 4, 4, 3, 0, 0, 2, 1, 4, 4, 2, 1, 0, 4, 2, 4, 3, 3, 2, 4, 0, 2, 3, 0, 4, 3, 0, 2, 0, 0, 0, 0, 3, 3, 0, 1, 2, 4, 2, 4, 2, 4, 1, 0, 0, 2, 2, 2, 2, 4, 1, 2, 1, 1, 1, 3, 4, 0, 2, 3, 4, 3, 1, 4, 1, 3, 1, 3, 0, 3, 4, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 3, 2, 4, 1, 1, 4, 4, 3, 1, 2, 0, 1, 3, 1, 4, 3, 2, 4, 4, 4, 1, 3, 3, 4, 2, 4, 2, 1, 0, 4, 0, 3, 1, 4, 1, 0, 0, 1, 3, 3, 3, 4, 4, 4, 0, 4, 0, 1, 2, 4, 1, 4, 1, 2, 2, 3, 2, 3, 0, 3, 1, 3, 0, 3, 2, 3, 4, 1, 3, 1, 1, 3, 1, 2, 0, 0, 2, 1, 1, 1, 1, 3, 1, 0, 3, 0, 1, 1, 3, 4, 3, 3, 3, 3, 3, 3, 2, 2, 0, 2, 4, 0, 0, 2, 3, 1, 4, 1, 0, 1, 4, 4, 3, 2, 2, 4, 3, 4, 3, 3, 2, 0, 3, 2] pubkeycol1621 = [1, 0, 3, 2, 3, 2, 3, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 1, 4, 3, 2, 0, 4, 2, 3, 3, 1, 4, 2, 2, 3, 2, 3, 4, 4, 1, 0, 3, 0, 3, 4, 4, 1, 0, 3, 1, 2, 1, 0, 1, 2, 3, 3, 1, 2, 2, 0, 0, 2, 2, 4, 0, 3, 1, 3, 2, 4, 3, 3, 1, 3, 3, 1, 2, 3, 0, 0, 0, 2, 3, 2, 0, 4, 1, 0, 2, 4, 1, 3, 2, 4, 1, 1, 4, 1, 4, 1, 0, 3, 2, 3, 4, 3, 0, 4, 3, 1, 4, 4, 1, 2, 2, 0, 1, 4, 3, 2, 2, 1, 1, 3, 1, 4, 1, 1, 2, 2, 3, 4, 3, 3, 3, 4, 1, 4, 2, 4, 4, 0, 1, 0, 1, 0, 2, 0, 0, 3, 1, 4, 3, 1, 2, 0, 0, 3, 2, 4, 4, 2, 1, 4, 0, 0, 3, 0, 0, 0, 2, 1, 0, 0, 4, 2, 1, 3, 4, 2, 1, 3, 2, 4, 4, 2, 1, 1, 1, 2, 2, 0, 1, 4, 4, 4, 4, 4, 2, 1, 0, 2, 0, 2, 4, 1, 0, 1, 3, 4, 2, 1, 2, 4, 1, 1, 0, 3, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 3, 4, 0, 1, 4, 2, 4, 2, 2, 4, 0, 4, 3, 0, 4, 0, 3, 1, 1, 4, 4, 2, 0, 1, 3, 0, 0, 4, 2, 3, 3, 3, 2, 3, 0, 0, 3, 1, 3, 2, 1, 3, 0, 0, 2, 0, 1, 3, 4, 4, 3, 1, 0, 0, 2, 0, 0, 0, 2, 3, 0, 2, 2, 2, 3, 0, 0, 2, 0, 0, 4, 3, 3, 4, 3, 0, 4, 4, 1, 1, 4, 2, 2, 0, 0, 3, 3, 0, 2, 1, 4, 2, 4, 1, 1, 0, 0, 1, 4, 4, 3, 3, 2, 1, 1, 4, 4, 1, 2, 0, 4, 1, 1, 1, 2, 0, 2, 0, 1, 4, 0, 1, 3, 0, 4, 1, 1, 4, 1, 4, 0, 2, 4, 1, 4, 4, 1, 0, 4, 3, 1, 3, 0, 3, 2, 4, 4, 1, 1, 0, 2, 0, 2, 1, 2, 2, 4, 0, 3, 4, 2, 3, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 4, 0, 4, 0, 2, 3, 0, 0, 4, 2, 4, 2, 2, 4, 0, 1, 4, 1, 4, 2, 0, 0, 1, 3, 3, 1, 4, 2, 1, 0, 0, 4, 4, 0, 1, 2, 0, 3, 1, 3, 2, 1, 0, 0, 4, 0, 0, 4, 0, 2, 4, 0, 4, 0, 2, 2, 1, 0, 1, 1, 3, 1, 2, 3, 4, 3, 0, 2, 3, 2, 0, 3, 1, 0, 4, 4, 0] pubkeycol1622 = [1, 2, 3, 2, 3, 0, 4, 1, 3, 2, 0, 2, 1, 3, 0, 2, 0, 4, 2, 1, 0, 4, 3, 1, 1, 1, 1, 3, 2, 0, 0, 0, 2, 4, 3, 4, 1, 0, 0, 2, 1, 4, 2, 2, 0, 0, 3, 0, 2, 4, 4, 3, 4, 4, 2, 3, 3, 0, 2, 2, 0, 4, 4, 1, 1, 4, 1, 0, 0, 2, 1, 4, 0, 1, 0, 4, 1, 1, 4, 2, 1, 0, 3, 4, 2, 4, 2, 0, 1, 3, 0, 0, 0, 3, 4, 1, 1, 0, 4, 2, 3, 4, 2, 3, 2, 2, 1, 2, 4, 4, 2, 4, 4, 3, 4, 0, 3, 4, 0, 4, 0, 4, 4, 3, 1, 0, 3, 0, 3, 3, 2, 0, 0, 2, 4, 1, 4, 3, 1, 0, 4, 3, 4, 2, 1, 0, 4, 3, 4, 0, 3, 2, 2, 2, 1, 3, 0, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 3, 3, 0, 3, 0, 3, 3, 4, 0, 0, 4, 4, 4, 4, 3, 2, 0, 1, 3, 2, 3, 1, 2, 2, 2, 4, 0, 1, 1, 3, 2, 0, 3, 0, 2, 0, 0, 4, 4, 2, 2, 3, 1, 4, 3, 1, 4, 4, 1, 3, 0, 4, 1, 3, 3, 4, 2, 4, 3, 3, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 4, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 3, 2, 3, 4, 2, 4, 3, 4, 2, 2, 1, 4, 1, 4, 1, 2, 2, 4, 0, 2, 1, 0, 2, 1, 1, 1, 0, 4, 2, 3, 0, 3, 4, 0, 3, 1, 1, 4, 2, 4, 3, 0, 4, 1, 2, 2, 1, 1, 0, 0, 4, 2, 4, 0, 3, 3, 3, 1, 1, 2, 0, 4, 1, 3, 2, 4, 2, 2, 1, 4, 0, 3, 4, 2, 1, 2, 1, 0, 3, 2, 3, 4, 3, 1, 4, 4, 3, 2, 0, 0, 4, 4, 1, 4, 2, 2, 4, 1, 3, 1, 0, 2, 0, 3, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 3, 2, 0, 3, 1, 3, 3, 3, 2, 2, 0, 4, 1, 0, 1, 3, 4, 3, 3, 3, 2, 0, 3, 0, 2, 1, 1, 4, 4, 1, 4, 0, 0, 3, 3, 0, 2, 3, 1, 3, 4, 2, 3, 1, 1, 1, 4, 0, 0, 3, 0, 1, 2, 4, 0, 0, 2, 3, 1, 0, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 3, 4, 1, 4, 2, 3, 4, 3, 2, 1, 2, 1, 1, 2, 4, 2, 4, 0, 1, 0, 4, 4, 2, 4, 0, 1, 0, 0, 3, 4, 0, 0, 4, 4, 4, 4, 1, 4, 4, 3, 3, 0, 4, 2, 0] pubkeycol1623 = [4, 4, 3, 0, 2, 2, 0, 0, 2, 1, 3, 2, 0, 0, 1, 3, 4, 3, 4, 4, 1, 4, 4, 2, 3, 4, 2, 2, 0, 2, 2, 2, 3, 3, 2, 4, 2, 4, 0, 1, 4, 2, 3, 0, 0, 4, 2, 2, 1, 0, 2, 4, 2, 4, 4, 1, 0, 4, 1, 4, 0, 0, 4, 3, 0, 2, 1, 3, 0, 2, 3, 3, 3, 1, 4, 0, 1, 0, 4, 2, 3, 2, 3, 1, 0, 1, 1, 2, 4, 1, 1, 3, 2, 0, 4, 2, 2, 3, 2, 0, 1, 0, 0, 2, 1, 4, 1, 2, 2, 2, 2, 3, 4, 2, 3, 2, 4, 2, 3, 0, 1, 2, 3, 2, 4, 3, 2, 2, 3, 4, 0, 0, 0, 2, 1, 0, 1, 4, 4, 4, 1, 3, 1, 3, 3, 2, 2, 2, 0, 1, 1, 3, 0, 4, 2, 3, 2, 0, 3, 4, 4, 3, 1, 2, 4, 0, 2, 4, 3, 3, 4, 1, 0, 0, 0, 4, 1, 1, 1, 0, 0, 2, 1, 1, 3, 2, 1, 0, 4, 4, 1, 0, 3, 0, 1, 0, 1, 3, 2, 0, 1, 2, 3, 4, 4, 0, 0, 3, 4, 2, 0, 3, 3, 3, 2, 0, 2, 2, 1, 4, 2, 4, 1, 0, 2, 4, 1, 2, 1, 3, 1, 3, 4, 2, 2, 2, 3, 0, 3, 2, 0, 3, 0, 1, 1, 4, 3, 0, 3, 4, 3, 2, 1, 4, 3, 1, 2, 0, 1, 1, 4, 1, 0, 1, 4, 2, 1, 3, 4, 3, 0, 2, 1, 2, 0, 3, 4, 2, 3, 3, 0, 3, 2, 1, 0, 0, 2, 3, 0, 0, 0, 4, 1, 0, 0, 2, 1, 1, 4, 0, 2, 0, 2, 2, 1, 1, 3, 2, 4, 2, 3, 0, 0, 3, 4, 3, 1, 4, 0, 0, 2, 4, 0, 0, 4, 3, 4, 2, 2, 3, 0, 3, 1, 3, 2, 4, 2, 2, 3, 0, 1, 1, 0, 2, 1, 2, 3, 0, 0, 1, 3, 0, 1, 4, 0, 0, 2, 1, 0, 2, 0, 4, 1, 3, 3, 0, 1, 1, 2, 4, 3, 0, 4, 4, 2, 0, 1, 1, 0, 0, 0, 2, 0, 4, 4, 0, 2, 3, 4, 4, 1, 1, 2, 2, 0, 3, 4, 3, 2, 1, 3, 3, 1, 1, 0, 4, 4, 2, 3, 3, 1, 4, 0, 3, 2, 2, 2, 1, 1, 0, 0, 0, 3, 1, 0, 3, 1, 3, 1, 3, 4, 0, 3, 0, 1, 0, 4, 1, 1, 0, 0, 1, 2, 4, 0, 4, 3, 0, 4, 2, 1, 4, 4, 1, 1, 3, 1, 3, 1, 2, 1, 1, 1, 4, 1, 2, 4, 3, 4, 4, 3, 2, 1, 1, 2, 1, 3, 2, 0, 4] pubkeycol1624 = [3, 3, 4, 3, 4, 1, 3, 0, 1, 3, 1, 1, 3, 3, 4, 0, 2, 2, 4, 1, 0, 1, 4, 4, 4, 3, 1, 2, 1, 4, 2, 3, 3, 2, 3, 4, 0, 2, 4, 3, 0, 3, 2, 2, 4, 2, 3, 3, 0, 1, 3, 0, 3, 4, 0, 2, 2, 1, 3, 1, 1, 4, 0, 2, 3, 2, 0, 1, 3, 1, 4, 2, 1, 1, 1, 1, 0, 3, 4, 2, 3, 4, 2, 2, 4, 1, 0, 3, 0, 4, 2, 1, 3, 1, 3, 3, 0, 1, 4, 0, 1, 1, 1, 0, 3, 0, 4, 3, 3, 2, 1, 1, 4, 1, 1, 0, 1, 3, 1, 3, 2, 4, 1, 1, 1, 2, 0, 0, 0, 0, 3, 0, 3, 4, 0, 3, 1, 2, 2, 1, 0, 1, 4, 2, 4, 3, 2, 4, 0, 3, 1, 1, 1, 1, 1, 3, 2, 3, 4, 1, 4, 2, 4, 0, 2, 4, 3, 4, 1, 3, 4, 1, 1, 3, 4, 0, 1, 4, 4, 1, 2, 3, 3, 1, 1, 1, 2, 1, 3, 1, 2, 4, 2, 0, 0, 3, 0, 1, 2, 2, 4, 2, 2, 3, 0, 3, 3, 0, 2, 2, 0, 1, 0, 2, 3, 4, 2, 1, 1, 2, 0, 4, 2, 4, 1, 2, 1, 3, 2, 2, 2, 0, 3, 2, 0, 2, 1, 2, 0, 4, 0, 0, 4, 1, 1, 0, 4, 2, 2, 2, 0, 1, 3, 3, 1, 1, 4, 1, 3, 4, 4, 4, 1, 3, 3, 2, 0, 1, 2, 1, 4, 0, 2, 3, 2, 2, 0, 4, 1, 3, 4, 1, 4, 3, 3, 2, 0, 1, 1, 4, 0, 0, 3, 3, 2, 2, 0, 2, 2, 4, 2, 4, 3, 2, 0, 2, 0, 4, 3, 2, 3, 2, 1, 0, 2, 4, 2, 1, 2, 3, 0, 0, 1, 3, 4, 0, 0, 0, 0, 4, 2, 0, 0, 1, 0, 4, 1, 4, 4, 1, 3, 1, 3, 0, 1, 4, 4, 1, 2, 1, 0, 0, 0, 3, 3, 4, 3, 0, 3, 3, 1, 1, 2, 2, 3, 1, 2, 3, 1, 2, 1, 2, 3, 2, 0, 2, 2, 1, 4, 1, 4, 4, 2, 1, 4, 1, 4, 4, 3, 0, 3, 4, 1, 0, 1, 4, 1, 4, 2, 2, 3, 2, 1, 4, 0, 2, 0, 3, 3, 2, 1, 1, 3, 0, 0, 4, 4, 2, 1, 1, 2, 3, 4, 3, 1, 4, 0, 2, 4, 2, 3, 0, 2, 2, 1, 4, 4, 1, 1, 2, 2, 0, 3, 4, 0, 0, 4, 4, 0, 4, 0, 3, 2, 2, 4, 3, 1, 1, 3, 4, 2, 2, 2, 0, 4, 2, 2, 2, 4, 1, 0, 4, 4, 1, 3, 3, 4, 0, 2, 4] pubkeycol1625 = [0, 0, 0, 2, 2, 1, 2, 0, 1, 4, 1, 2, 4, 0, 3, 0, 2, 3, 2, 1, 0, 3, 3, 4, 4, 0, 1, 2, 1, 0, 0, 4, 4, 4, 2, 3, 2, 0, 3, 1, 4, 4, 3, 4, 2, 4, 4, 0, 2, 1, 3, 1, 2, 4, 3, 4, 4, 0, 1, 1, 3, 4, 4, 1, 4, 0, 2, 1, 3, 3, 1, 0, 1, 0, 3, 2, 4, 1, 1, 4, 2, 0, 1, 3, 1, 0, 3, 2, 3, 4, 4, 4, 0, 3, 2, 2, 0, 0, 2, 3, 0, 2, 2, 3, 4, 3, 4, 4, 0, 4, 4, 2, 2, 2, 0, 4, 4, 4, 0, 2, 4, 3, 1, 3, 3, 3, 4, 0, 1, 1, 0, 4, 0, 2, 4, 3, 0, 3, 0, 3, 4, 1, 2, 3, 4, 4, 1, 0, 0, 3, 0, 3, 2, 2, 1, 1, 1, 1, 0, 4, 2, 0, 1, 4, 4, 0, 3, 0, 1, 1, 4, 3, 1, 1, 1, 3, 2, 4, 3, 0, 1, 4, 0, 1, 4, 4, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 4, 2, 1, 2, 4, 2, 4, 2, 1, 1, 2, 1, 0, 3, 2, 0, 2, 2, 4, 1, 4, 1, 2, 4, 4, 0, 3, 1, 4, 4, 1, 2, 2, 0, 3, 4, 3, 4, 3, 3, 0, 2, 2, 2, 0, 0, 2, 4, 2, 2, 2, 4, 1, 3, 1, 1, 0, 3, 3, 0, 3, 2, 1, 2, 2, 0, 3, 2, 2, 1, 3, 4, 3, 1, 4, 0, 1, 2, 1, 3, 3, 2, 4, 4, 0, 2, 2, 4, 0, 1, 3, 3, 0, 2, 2, 3, 2, 1, 3, 4, 4, 4, 1, 0, 2, 0, 4, 4, 3, 3, 2, 4, 2, 0, 2, 2, 1, 3, 4, 1, 0, 3, 1, 2, 3, 1, 3, 0, 3, 0, 0, 4, 1, 1, 2, 0, 2, 3, 0, 4, 3, 2, 0, 0, 4, 3, 2, 4, 4, 3, 3, 2, 1, 3, 4, 3, 3, 1, 0, 3, 2, 4, 3, 4, 4, 0, 3, 0, 0, 3, 0, 4, 3, 1, 0, 3, 4, 2, 0, 0, 4, 0, 4, 3, 1, 1, 1, 4, 1, 3, 3, 4, 4, 4, 2, 3, 2, 3, 0, 1, 4, 2, 3, 0, 3, 0, 1, 2, 4, 3, 3, 2, 4, 2, 0, 4, 4, 1, 1, 4, 0, 2, 1, 3, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 4, 1, 1, 4, 3, 2, 4, 4, 0, 1, 0, 0, 4, 4, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 4, 4, 3, 3, 0, 0, 1, 2, 3, 0, 0, 4, 2, 1, 4, 1, 2, 3, 4] pubkeycol1626 = [2, 4, 0, 1, 1, 3, 1, 0, 0, 3, 3, 4, 3, 1, 4, 1, 4, 4, 2, 0, 4, 0, 0, 2, 2, 0, 4, 3, 2, 4, 4, 2, 2, 1, 1, 1, 2, 1, 1, 4, 1, 2, 3, 3, 4, 0, 4, 4, 1, 3, 2, 0, 2, 0, 2, 3, 0, 4, 4, 1, 2, 2, 2, 2, 4, 2, 0, 3, 0, 3, 4, 2, 4, 2, 1, 3, 0, 4, 4, 3, 2, 0, 4, 4, 3, 1, 0, 3, 1, 4, 0, 1, 0, 0, 0, 4, 4, 0, 1, 1, 3, 1, 4, 1, 4, 2, 4, 2, 2, 1, 4, 2, 4, 3, 1, 3, 1, 4, 2, 4, 1, 1, 0, 4, 4, 1, 0, 2, 3, 0, 1, 4, 3, 0, 2, 0, 1, 2, 4, 2, 2, 0, 4, 1, 4, 2, 3, 2, 1, 0, 3, 0, 3, 2, 3, 1, 3, 3, 1, 3, 1, 4, 2, 2, 0, 0, 2, 3, 4, 2, 2, 0, 4, 4, 2, 3, 1, 1, 3, 3, 0, 1, 4, 0, 2, 2, 1, 1, 3, 2, 0, 4, 2, 3, 4, 1, 1, 1, 2, 4, 3, 3, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 2, 1, 1, 4, 2, 4, 1, 0, 4, 3, 4, 4, 1, 0, 4, 0, 0, 3, 3, 1, 4, 0, 0, 1, 2, 3, 2, 0, 3, 4, 4, 3, 2, 1, 2, 3, 2, 2, 2, 4, 0, 0, 1, 2, 3, 2, 4, 0, 4, 1, 2, 4, 3, 2, 1, 1, 0, 4, 0, 0, 1, 4, 3, 0, 3, 3, 1, 0, 1, 1, 3, 0, 3, 3, 4, 1, 4, 1, 3, 2, 4, 1, 0, 4, 2, 0, 2, 1, 4, 0, 4, 0, 3, 2, 2, 3, 0, 4, 1, 4, 2, 1, 0, 3, 1, 1, 0, 3, 4, 0, 0, 4, 2, 2, 4, 2, 1, 3, 3, 3, 1, 4, 3, 0, 0, 0, 3, 1, 1, 1, 3, 4, 1, 1, 4, 2, 3, 3, 0, 0, 0, 4, 0, 4, 2, 4, 4, 3, 0, 1, 3, 4, 3, 2, 0, 2, 3, 2, 0, 1, 4, 3, 2, 1, 4, 4, 3, 0, 3, 0, 1, 4, 3, 0, 0, 1, 3, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 4, 1, 2, 0, 1, 2, 1, 1, 2, 2, 4, 1, 3, 0, 4, 4, 3, 4, 2, 1, 4, 1, 1, 0, 3, 1, 0, 0, 4, 0, 0, 2, 4, 2, 0, 2, 4, 0, 2, 0, 2, 2, 4, 1, 4, 4, 4, 2, 2, 0, 4, 0, 4, 2, 1, 3, 1, 1, 3, 4, 4, 3, 0, 4, 4, 2, 2, 4, 0, 1, 0, 2, 2, 2, 1, 2, 1, 4, 4, 1] pubkeycol1627 = [2, 2, 4, 2, 2, 0, 0, 2, 0, 2, 4, 3, 2, 2, 1, 1, 2, 0, 1, 4, 4, 2, 0, 4, 3, 3, 2, 0, 4, 3, 3, 1, 3, 3, 0, 0, 2, 0, 1, 4, 4, 1, 2, 3, 0, 1, 2, 3, 1, 3, 0, 2, 4, 4, 4, 2, 3, 3, 2, 1, 1, 4, 3, 4, 1, 2, 1, 4, 2, 3, 4, 4, 3, 0, 1, 1, 2, 2, 3, 3, 0, 2, 4, 0, 4, 3, 4, 1, 1, 4, 2, 1, 3, 3, 1, 1, 3, 0, 4, 1, 1, 3, 3, 0, 3, 2, 3, 3, 1, 1, 2, 4, 3, 3, 4, 0, 1, 4, 4, 3, 4, 1, 1, 4, 2, 4, 1, 2, 0, 4, 4, 3, 1, 0, 3, 3, 0, 3, 1, 1, 3, 1, 1, 3, 2, 4, 0, 0, 2, 2, 4, 0, 0, 1, 0, 2, 0, 3, 3, 3, 0, 3, 2, 2, 0, 0, 4, 3, 3, 3, 0, 2, 3, 2, 3, 4, 2, 1, 2, 2, 4, 0, 4, 1, 0, 4, 1, 3, 1, 2, 0, 4, 2, 2, 2, 3, 1, 3, 0, 2, 0, 0, 0, 2, 3, 3, 1, 1, 2, 0, 0, 2, 4, 1, 0, 0, 0, 1, 1, 4, 1, 0, 3, 2, 4, 4, 1, 2, 4, 0, 2, 4, 0, 2, 3, 1, 0, 0, 3, 3, 0, 4, 0, 0, 2, 0, 3, 4, 4, 4, 3, 2, 3, 1, 1, 1, 3, 2, 3, 0, 4, 1, 4, 0, 0, 2, 3, 0, 0, 4, 3, 0, 4, 0, 4, 2, 1, 2, 1, 2, 1, 3, 1, 0, 4, 4, 2, 4, 4, 2, 1, 4, 2, 0, 1, 2, 2, 4, 3, 3, 3, 2, 3, 0, 3, 0, 2, 1, 4, 3, 2, 0, 0, 0, 1, 4, 1, 2, 0, 1, 3, 3, 4, 0, 0, 1, 4, 1, 4, 3, 3, 2, 2, 4, 2, 1, 0, 0, 3, 1, 0, 3, 2, 4, 4, 3, 0, 3, 0, 4, 0, 2, 4, 3, 3, 1, 4, 3, 2, 2, 1, 0, 2, 2, 3, 2, 1, 0, 3, 2, 4, 3, 3, 0, 3, 2, 1, 3, 3, 0, 3, 0, 1, 4, 3, 1, 4, 4, 0, 3, 4, 4, 2, 2, 3, 4, 1, 0, 3, 4, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 4, 3, 2, 4, 4, 2, 3, 1, 2, 2, 3, 2, 0, 2, 3, 2, 2, 0, 2, 0, 4, 1, 2, 4, 4, 2, 4, 1, 1, 2, 1, 1, 4, 2, 1, 2, 3, 0, 2, 4, 2, 0, 0, 1, 4, 4, 1, 4, 0, 3, 3, 2, 4, 4, 0, 0, 4, 4, 1, 4, 0, 3, 0, 0, 1, 4, 4, 1, 2, 2] pubkeycol1628 = [4, 2, 1, 0, 1, 4, 2, 2, 2, 1, 1, 3, 1, 0, 1, 0, 3, 0, 4, 0, 4, 3, 1, 4, 0, 4, 4, 0, 2, 1, 3, 2, 1, 0, 3, 1, 4, 1, 1, 3, 4, 1, 0, 1, 3, 4, 2, 3, 4, 4, 0, 4, 0, 3, 1, 3, 2, 3, 1, 0, 3, 0, 2, 4, 3, 0, 3, 0, 0, 0, 0, 4, 1, 1, 0, 1, 4, 4, 1, 2, 3, 2, 2, 2, 1, 3, 1, 0, 4, 2, 1, 1, 4, 3, 1, 1, 4, 4, 0, 0, 4, 3, 4, 3, 1, 4, 1, 1, 4, 2, 1, 0, 4, 3, 4, 3, 3, 2, 3, 4, 4, 3, 1, 1, 3, 0, 3, 4, 0, 0, 1, 3, 3, 0, 1, 0, 3, 1, 4, 3, 1, 1, 0, 0, 4, 3, 4, 1, 2, 0, 4, 2, 2, 4, 1, 4, 1, 3, 2, 2, 0, 3, 0, 4, 1, 3, 0, 3, 4, 3, 0, 1, 4, 3, 1, 4, 2, 0, 1, 2, 4, 4, 3, 3, 0, 3, 0, 4, 3, 1, 0, 4, 4, 0, 2, 0, 2, 3, 1, 4, 2, 2, 3, 4, 1, 2, 1, 2, 1, 1, 0, 3, 4, 0, 4, 4, 1, 4, 4, 3, 2, 0, 3, 2, 2, 4, 1, 4, 1, 4, 0, 2, 0, 4, 0, 4, 2, 2, 4, 3, 2, 2, 4, 4, 1, 4, 1, 1, 4, 1, 2, 0, 4, 0, 1, 0, 0, 2, 1, 2, 1, 3, 0, 4, 4, 1, 4, 0, 4, 1, 2, 0, 0, 2, 3, 0, 3, 4, 0, 4, 4, 4, 4, 0, 4, 1, 0, 1, 0, 3, 2, 3, 2, 3, 2, 4, 3, 3, 3, 3, 0, 1, 3, 0, 4, 2, 0, 4, 0, 4, 3, 2, 3, 0, 4, 0, 0, 3, 4, 1, 3, 2, 1, 1, 0, 1, 3, 3, 2, 2, 1, 0, 3, 0, 0, 4, 4, 0, 2, 2, 2, 2, 3, 4, 0, 1, 4, 2, 0, 3, 1, 4, 0, 0, 0, 1, 2, 0, 2, 0, 4, 1, 0, 3, 3, 0, 1, 1, 3, 1, 2, 2, 0, 3, 2, 3, 4, 2, 2, 4, 2, 1, 1, 3, 1, 2, 4, 2, 3, 4, 3, 4, 3, 0, 3, 0, 2, 3, 1, 0, 4, 1, 0, 0, 1, 4, 2, 4, 2, 0, 3, 4, 4, 1, 2, 2, 4, 0, 4, 0, 4, 2, 3, 3, 0, 0, 2, 1, 2, 2, 4, 3, 1, 1, 4, 4, 2, 4, 4, 2, 2, 3, 1, 2, 0, 2, 2, 1, 0, 2, 0, 3, 1, 3, 1, 4, 3, 4, 3, 3, 3, 0, 0, 4, 3, 1, 0, 3, 3, 3, 4, 3, 0, 4, 4, 0, 3, 3, 2, 3] pubkeycol1629 = [4, 3, 2, 1, 4, 3, 3, 1, 0, 3, 2, 0, 3, 1, 0, 4, 3, 3, 0, 4, 0, 3, 3, 2, 1, 2, 2, 3, 2, 1, 4, 4, 4, 2, 1, 1, 3, 2, 2, 4, 4, 1, 3, 3, 1, 4, 2, 0, 4, 3, 2, 1, 2, 2, 1, 4, 3, 0, 2, 3, 0, 4, 1, 3, 2, 3, 1, 3, 2, 0, 2, 4, 1, 4, 1, 2, 1, 0, 1, 0, 0, 1, 1, 3, 1, 3, 2, 3, 2, 1, 2, 4, 1, 1, 3, 4, 0, 0, 0, 1, 1, 2, 4, 0, 3, 2, 1, 1, 3, 1, 1, 0, 1, 4, 0, 4, 2, 1, 0, 4, 4, 4, 1, 3, 4, 0, 1, 4, 3, 1, 2, 3, 4, 4, 4, 3, 4, 4, 1, 0, 4, 2, 3, 1, 2, 2, 2, 1, 2, 3, 2, 1, 3, 4, 0, 1, 3, 1, 0, 2, 0, 3, 3, 3, 3, 4, 0, 0, 4, 3, 3, 2, 2, 2, 2, 2, 1, 4, 2, 2, 0, 1, 1, 3, 1, 4, 1, 1, 3, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 3, 0, 0, 2, 1, 3, 4, 1, 1, 0, 4, 3, 4, 3, 1, 0, 4, 2, 2, 0, 4, 2, 2, 2, 1, 1, 0, 1, 3, 0, 3, 4, 1, 2, 4, 4, 0, 0, 3, 4, 3, 0, 3, 0, 4, 3, 4, 0, 1, 2, 0, 3, 1, 0, 2, 3, 4, 4, 0, 3, 1, 2, 0, 0, 1, 0, 1, 3, 1, 1, 3, 0, 3, 4, 2, 4, 3, 1, 3, 2, 3, 3, 4, 3, 3, 4, 3, 4, 0, 0, 3, 4, 3, 4, 0, 1, 4, 0, 4, 1, 2, 0, 3, 3, 3, 3, 4, 3, 0, 0, 3, 2, 4, 0, 2, 1, 3, 0, 4, 2, 1, 2, 0, 0, 3, 0, 3, 1, 4, 2, 4, 3, 2, 0, 1, 0, 3, 3, 2, 3, 4, 2, 4, 4, 1, 1, 4, 1, 4, 0, 3, 2, 2, 3, 4, 1, 0, 4, 1, 0, 4, 4, 4, 2, 1, 4, 2, 0, 3, 4, 3, 4, 3, 2, 4, 0, 2, 1, 1, 0, 4, 2, 3, 0, 1, 3, 1, 1, 2, 1, 1, 1, 3, 2, 1, 4, 0, 2, 1, 0, 4, 1, 4, 4, 2, 3, 1, 2, 4, 1, 0, 2, 1, 0, 4, 2, 3, 4, 3, 4, 2, 1, 0, 3, 1, 3, 2, 3, 0, 1, 2, 1, 0, 3, 2, 1, 0, 3, 3, 3, 0, 4, 1, 0, 0, 1, 1, 3, 3, 1, 1, 4, 3, 3, 2, 3, 1, 3, 1, 1, 4, 1, 2, 0, 4, 2, 3, 3, 4, 1, 0, 2, 4, 0, 4, 0, 2, 3, 2, 2, 4] pubkeycol1630 = [4, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 4, 0, 1, 4, 2, 2, 0, 3, 4, 4, 2, 0, 0, 2, 1, 2, 4, 0, 3, 0, 3, 4, 1, 1, 4, 1, 1, 3, 4, 4, 1, 2, 3, 4, 3, 2, 1, 0, 2, 0, 0, 2, 2, 3, 2, 0, 1, 2, 0, 3, 2, 4, 2, 3, 4, 4, 0, 2, 1, 0, 2, 4, 4, 0, 3, 4, 1, 3, 1, 4, 3, 1, 4, 1, 4, 3, 0, 2, 2, 2, 1, 0, 0, 3, 4, 2, 0, 1, 4, 1, 4, 3, 4, 4, 1, 4, 3, 1, 1, 4, 2, 3, 4, 3, 0, 0, 0, 4, 0, 2, 3, 3, 2, 0, 4, 4, 3, 1, 2, 0, 0, 0, 2, 3, 0, 4, 1, 4, 4, 4, 1, 3, 0, 0, 2, 2, 2, 0, 1, 2, 4, 1, 4, 1, 1, 2, 4, 0, 1, 0, 3, 3, 3, 0, 4, 3, 0, 1, 2, 1, 4, 3, 3, 1, 2, 0, 2, 2, 4, 2, 0, 3, 2, 0, 3, 2, 3, 1, 4, 0, 4, 2, 1, 2, 1, 3, 2, 3, 2, 4, 0, 4, 1, 3, 1, 1, 3, 2, 1, 3, 3, 4, 4, 2, 0, 4, 3, 0, 0, 1, 0, 2, 0, 3, 2, 4, 4, 1, 3, 0, 1, 1, 0, 1, 4, 4, 4, 0, 3, 1, 0, 0, 0, 2, 1, 4, 3, 2, 2, 1, 2, 3, 2, 0, 2, 1, 1, 0, 1, 2, 3, 2, 2, 3, 4, 0, 2, 2, 4, 2, 3, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 4, 2, 0, 1, 2, 1, 3, 2, 3, 3, 4, 2, 3, 1, 3, 2, 0, 1, 4, 0, 1, 3, 4, 4, 4, 4, 0, 3, 0, 2, 1, 0, 3, 3, 2, 3, 0, 2, 0, 4, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 4, 3, 1, 0, 4, 0, 3, 0, 2, 0, 0, 2, 0, 2, 3, 4, 4, 2, 3, 1, 3, 1, 3, 4, 1, 2, 2, 1, 3, 0, 1, 3, 3, 4, 2, 4, 1, 3, 0, 4, 4, 2, 1, 3, 4, 4, 1, 2, 2, 1, 1, 2, 1, 3, 1, 4, 1, 0, 0, 4, 0, 2, 2, 1, 0, 4, 2, 1, 0, 0, 3, 4, 3, 0, 2, 4, 1, 1, 4, 2, 0, 4, 2, 2, 2, 0, 1, 2, 4, 0, 2, 3, 3, 0, 3, 1, 0, 2, 1, 4, 0, 2, 3, 0, 0, 3, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 2, 4, 1, 0, 2, 1, 1, 4, 2, 4, 3, 0, 2, 0, 1, 3, 0, 3, 0, 4, 0, 1, 2, 3, 3, 0, 1, 0, 4, 2, 2, 1] pubkeycol1631 = [2, 3, 0, 1, 0, 3, 3, 4, 1, 4, 1, 0, 0, 2, 3, 2, 0, 4, 4, 3, 4, 2, 2, 0, 4, 3, 0, 3, 3, 1, 1, 3, 4, 2, 0, 2, 3, 2, 3, 3, 3, 2, 2, 3, 3, 4, 2, 3, 3, 4, 2, 1, 4, 4, 4, 3, 1, 1, 1, 4, 4, 3, 4, 2, 3, 1, 1, 3, 1, 3, 1, 4, 0, 3, 0, 2, 0, 2, 0, 4, 1, 2, 3, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 4, 2, 2, 3, 1, 3, 1, 3, 1, 1, 4, 2, 1, 3, 4, 1, 1, 3, 3, 1, 4, 3, 1, 4, 4, 4, 2, 3, 0, 4, 2, 3, 4, 2, 4, 3, 3, 2, 0, 2, 0, 2, 1, 4, 2, 0, 4, 1, 1, 2, 4, 2, 4, 2, 1, 4, 4, 4, 0, 0, 0, 1, 1, 2, 0, 1, 0, 3, 4, 3, 4, 2, 1, 3, 2, 4, 0, 1, 0, 4, 1, 0, 2, 0, 1, 2, 2, 3, 4, 0, 3, 0, 3, 1, 1, 2, 1, 4, 3, 1, 2, 2, 0, 2, 3, 4, 4, 2, 0, 0, 1, 2, 2, 1, 2, 3, 4, 1, 3, 1, 3, 4, 3, 3, 2, 3, 3, 0, 4, 3, 1, 4, 0, 0, 4, 0, 4, 4, 2, 0, 4, 3, 2, 3, 3, 0, 2, 4, 2, 2, 3, 0, 1, 0, 3, 1, 1, 4, 1, 2, 0, 1, 1, 0, 4, 1, 2, 4, 0, 3, 3, 1, 0, 4, 2, 4, 4, 2, 1, 2, 4, 3, 1, 2, 0, 0, 4, 4, 3, 3, 1, 4, 0, 3, 0, 3, 3, 0, 0, 4, 3, 2, 4, 1, 0, 3, 1, 2, 2, 0, 4, 0, 4, 3, 1, 1, 4, 2, 3, 1, 4, 4, 1, 0, 2, 1, 3, 0, 4, 3, 0, 0, 2, 4, 4, 0, 2, 2, 1, 4, 0, 4, 1, 4, 2, 0, 3, 4, 1, 0, 3, 1, 4, 3, 2, 2, 0, 4, 0, 1, 1, 0, 3, 3, 2, 1, 1, 3, 4, 3, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 4, 1, 3, 0, 3, 3, 0, 3, 0, 3, 1, 2, 2, 1, 3, 2, 2, 0, 4, 0, 1, 4, 1, 2, 1, 3, 0, 2, 0, 0, 4, 1, 1, 2, 3, 4, 4, 2, 4, 2, 3, 4, 2, 0, 4, 0, 3, 0, 3, 4, 1, 3, 0, 2, 1, 1, 3, 3, 2, 4, 1, 2, 0, 2, 0, 3, 3, 3, 1, 3, 0, 3, 3, 0, 2, 2, 2, 3, 2, 0, 3, 0, 4, 1, 4, 2, 0, 2, 3, 1, 0, 3, 3, 1, 2, 0, 1, 3, 1, 1, 3, 4, 3] pubkeycol1632 = [0, 0, 1, 4, 0, 3, 0, 0, 0, 3, 3, 4, 4, 4, 4, 0, 2, 0, 0, 3, 3, 1, 3, 1, 1, 4, 3, 1, 1, 2, 1, 1, 4, 0, 3, 4, 3, 1, 1, 3, 3, 0, 4, 3, 0, 1, 1, 1, 4, 1, 3, 1, 2, 1, 4, 4, 4, 1, 2, 0, 1, 1, 3, 4, 2, 2, 1, 4, 2, 2, 4, 4, 0, 0, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 1, 2, 1, 3, 1, 3, 1, 2, 1, 0, 4, 3, 3, 2, 3, 2, 2, 2, 3, 4, 3, 1, 0, 0, 2, 4, 1, 2, 1, 4, 2, 3, 0, 2, 3, 2, 1, 0, 3, 3, 2, 2, 3, 2, 4, 1, 4, 1, 0, 1, 2, 1, 3, 0, 3, 2, 0, 0, 1, 3, 2, 2, 4, 3, 1, 4, 2, 4, 4, 2, 1, 1, 1, 3, 4, 1, 1, 1, 2, 4, 3, 2, 0, 2, 3, 2, 4, 0, 1, 4, 1, 3, 2, 2, 2, 3, 4, 2, 1, 0, 2, 0, 0, 0, 1, 4, 4, 2, 4, 2, 4, 3, 3, 2, 1, 3, 1, 2, 3, 3, 2, 1, 4, 4, 0, 0, 3, 2, 1, 3, 0, 0, 1, 1, 3, 2, 3, 0, 0, 1, 4, 3, 0, 4, 2, 2, 1, 3, 3, 0, 3, 2, 3, 4, 1, 2, 0, 0, 1, 1, 1, 4, 4, 2, 2, 3, 4, 0, 0, 2, 2, 1, 4, 1, 0, 1, 3, 3, 1, 4, 4, 4, 2, 2, 4, 1, 3, 2, 4, 1, 0, 4, 0, 3, 2, 2, 4, 3, 2, 1, 1, 2, 0, 4, 3, 0, 1, 3, 0, 2, 0, 2, 3, 3, 0, 0, 0, 1, 2, 0, 4, 2, 1, 0, 2, 4, 2, 3, 0, 4, 3, 0, 2, 2, 1, 4, 1, 2, 4, 4, 2, 0, 0, 4, 3, 1, 1, 1, 4, 4, 2, 4, 1, 1, 3, 2, 3, 1, 1, 0, 4, 0, 0, 1, 4, 0, 1, 2, 3, 0, 4, 4, 4, 0, 4, 0, 3, 2, 0, 4, 1, 1, 0, 2, 2, 1, 2, 2, 1, 3, 3, 0, 0, 3, 3, 0, 4, 2, 2, 4, 1, 4, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 4, 4, 3, 2, 3, 0, 3, 2, 0, 4, 0, 0, 4, 1, 4, 0, 3, 4, 3, 1, 1, 1, 2, 2, 3, 4, 0, 4, 4, 4, 3, 1, 4, 2, 4, 1, 4, 1, 3, 0, 3, 2, 1, 4, 2, 0, 4, 2, 4, 1, 4, 4, 2, 2, 0, 2, 3, 2, 0, 2, 4, 1, 2, 4, 0, 4, 4, 4, 0, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol1633 = [4, 1, 0, 1, 3, 1, 2, 1, 4, 2, 2, 1, 4, 1, 0, 2, 3, 2, 4, 3, 0, 4, 0, 2, 3, 4, 1, 0, 4, 2, 0, 2, 2, 3, 1, 3, 1, 1, 3, 2, 2, 0, 0, 1, 2, 4, 1, 1, 2, 1, 4, 3, 4, 0, 1, 2, 3, 0, 3, 4, 3, 3, 4, 2, 2, 1, 1, 4, 1, 3, 0, 3, 3, 4, 3, 2, 0, 3, 4, 4, 4, 0, 0, 1, 2, 3, 3, 3, 4, 4, 0, 0, 0, 2, 1, 3, 1, 0, 2, 4, 4, 0, 3, 3, 4, 1, 3, 4, 3, 3, 0, 2, 0, 2, 1, 0, 3, 4, 2, 3, 4, 2, 1, 4, 2, 3, 4, 2, 4, 1, 0, 2, 1, 0, 3, 3, 3, 4, 4, 3, 1, 2, 2, 4, 0, 0, 3, 0, 3, 1, 4, 1, 3, 3, 3, 3, 2, 0, 3, 4, 3, 4, 1, 0, 0, 1, 3, 0, 0, 0, 2, 3, 0, 4, 2, 1, 0, 3, 0, 0, 1, 4, 4, 3, 0, 1, 3, 4, 4, 0, 1, 0, 4, 3, 4, 4, 2, 2, 2, 2, 2, 4, 4, 2, 3, 3, 4, 0, 3, 4, 3, 1, 3, 4, 0, 4, 2, 0, 2, 0, 3, 3, 2, 3, 1, 1, 4, 0, 3, 4, 3, 1, 2, 2, 2, 4, 4, 0, 3, 3, 3, 2, 0, 3, 4, 1, 2, 2, 2, 4, 1, 4, 1, 0, 2, 4, 4, 1, 4, 3, 0, 1, 2, 1, 0, 1, 0, 0, 4, 1, 0, 4, 0, 1, 2, 2, 2, 4, 4, 3, 1, 0, 0, 0, 3, 0, 0, 0, 4, 4, 1, 4, 0, 1, 0, 3, 4, 3, 1, 2, 2, 1, 3, 0, 4, 4, 2, 1, 3, 1, 3, 4, 4, 3, 0, 4, 1, 4, 2, 2, 1, 3, 3, 2, 4, 0, 3, 4, 1, 0, 4, 4, 1, 4, 0, 4, 4, 1, 4, 1, 4, 4, 0, 3, 2, 1, 0, 3, 4, 0, 0, 1, 2, 4, 3, 0, 3, 3, 3, 2, 2, 0, 0, 4, 3, 2, 1, 2, 2, 2, 4, 0, 4, 4, 4, 0, 3, 0, 4, 1, 2, 0, 3, 3, 3, 2, 4, 3, 2, 3, 4, 1, 2, 3, 2, 3, 4, 1, 0, 4, 1, 4, 2, 0, 1, 1, 2, 2, 4, 1, 3, 3, 2, 4, 3, 3, 4, 1, 4, 3, 2, 0, 2, 1, 0, 1, 2, 0, 1, 3, 3, 0, 1, 1, 2, 0, 3, 4, 4, 2, 1, 1, 4, 4, 2, 3, 1, 1, 3, 4, 0, 2, 2, 4, 3, 3, 0, 3, 0, 0, 0, 0, 3, 1, 0, 4, 0, 0, 2, 3, 0, 4, 3, 3, 2, 2, 0, 2, 2, 4] pubkeycol1634 = [3, 1, 2, 1, 3, 0, 0, 0, 3, 2, 4, 2, 4, 1, 0, 2, 1, 3, 1, 4, 3, 3, 3, 0, 1, 2, 4, 4, 3, 2, 2, 0, 4, 0, 2, 0, 0, 4, 3, 3, 2, 2, 2, 4, 4, 0, 0, 1, 1, 4, 2, 1, 3, 1, 1, 2, 3, 4, 0, 4, 0, 4, 4, 0, 3, 0, 3, 3, 2, 4, 0, 1, 4, 2, 3, 3, 4, 3, 0, 0, 1, 1, 2, 3, 4, 4, 1, 0, 1, 0, 0, 3, 3, 4, 2, 0, 0, 0, 2, 3, 0, 4, 2, 2, 4, 2, 2, 2, 4, 2, 3, 3, 3, 4, 3, 3, 2, 1, 0, 0, 4, 2, 2, 2, 2, 0, 2, 0, 4, 3, 4, 4, 1, 2, 2, 3, 1, 2, 3, 4, 3, 1, 0, 1, 4, 2, 2, 4, 3, 2, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 1, 0, 2, 2, 0, 2, 0, 3, 3, 0, 1, 4, 3, 3, 1, 2, 2, 0, 3, 3, 1, 1, 1, 1, 3, 1, 3, 4, 4, 0, 2, 3, 1, 4, 2, 4, 2, 2, 2, 4, 3, 0, 2, 1, 1, 1, 0, 3, 1, 0, 3, 4, 0, 3, 3, 2, 2, 4, 1, 4, 0, 0, 1, 4, 0, 1, 4, 4, 1, 3, 3, 4, 3, 1, 3, 3, 4, 0, 4, 0, 2, 2, 1, 1, 3, 1, 3, 4, 1, 1, 2, 0, 3, 2, 3, 2, 4, 2, 2, 0, 1, 2, 2, 4, 3, 4, 3, 0, 3, 3, 3, 0, 3, 3, 0, 2, 3, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 2, 3, 0, 1, 2, 2, 1, 1, 3, 1, 1, 4, 4, 2, 4, 2, 4, 2, 3, 2, 0, 3, 2, 4, 4, 0, 3, 0, 3, 0, 3, 2, 0, 4, 1, 0, 0, 3, 3, 4, 4, 3, 3, 0, 2, 3, 3, 2, 2, 1, 0, 0, 4, 1, 3, 0, 2, 2, 3, 2, 4, 2, 2, 2, 3, 2, 3, 4, 0, 2, 0, 2, 4, 0, 0, 4, 1, 4, 1, 2, 3, 0, 2, 1, 0, 3, 3, 4, 4, 4, 2, 4, 1, 0, 0, 4, 2, 3, 4, 4, 0, 1, 0, 4, 3, 4, 3, 1, 2, 4, 4, 3, 4, 0, 4, 2, 4, 2, 1, 1, 2, 4, 0, 2, 1, 0, 1, 4, 3, 1, 4, 2, 1, 2, 4, 2, 0, 4, 3, 2, 3, 3, 2, 4, 2, 3, 1, 0, 4, 4, 4, 1, 3, 0, 4, 1, 0, 1, 2, 0, 3, 1, 1, 3, 3, 0, 0, 3, 4, 4, 0, 0, 4, 3, 2, 4, 2, 4, 4, 1, 3, 3, 3, 2, 3, 3, 3, 3, 0, 1, 0, 1, 4] pubkeycol1635 = [1, 1, 4, 4, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 4, 1, 3, 2, 0, 4, 0, 4, 3, 0, 3, 3, 3, 0, 1, 0, 4, 1, 0, 3, 3, 2, 2, 3, 3, 4, 1, 0, 3, 0, 2, 0, 1, 2, 0, 2, 2, 0, 4, 0, 2, 0, 2, 0, 2, 2, 0, 3, 0, 1, 1, 1, 2, 3, 4, 1, 3, 4, 0, 3, 2, 4, 3, 1, 2, 2, 3, 3, 3, 3, 1, 3, 0, 2, 3, 1, 3, 3, 0, 2, 3, 0, 1, 4, 2, 2, 0, 4, 2, 3, 4, 3, 4, 4, 3, 1, 4, 0, 2, 4, 4, 0, 4, 2, 3, 1, 4, 1, 2, 3, 4, 0, 3, 2, 1, 3, 4, 2, 3, 0, 0, 4, 4, 3, 3, 2, 0, 2, 1, 2, 4, 4, 2, 3, 4, 3, 4, 1, 0, 2, 3, 2, 2, 2, 4, 4, 1, 2, 0, 3, 3, 0, 4, 0, 1, 0, 1, 0, 4, 4, 4, 2, 2, 2, 3, 1, 0, 0, 2, 0, 2, 3, 1, 4, 4, 0, 2, 2, 2, 1, 2, 0, 4, 1, 4, 3, 4, 4, 2, 4, 1, 2, 3, 1, 0, 3, 1, 3, 4, 1, 0, 1, 3, 2, 4, 2, 4, 0, 2, 3, 0, 1, 2, 0, 0, 0, 0, 3, 4, 3, 4, 4, 1, 3, 4, 1, 2, 3, 1, 4, 4, 4, 4, 3, 4, 3, 1, 4, 1, 3, 4, 1, 2, 3, 2, 4, 3, 1, 2, 1, 1, 2, 3, 1, 4, 4, 1, 1, 1, 2, 0, 3, 1, 1, 1, 2, 1, 4, 0, 2, 3, 1, 0, 0, 1, 0, 4, 0, 0, 4, 2, 0, 2, 2, 3, 4, 1, 4, 4, 2, 0, 0, 0, 1, 2, 3, 0, 4, 3, 4, 0, 0, 0, 4, 0, 3, 0, 4, 4, 4, 2, 0, 3, 0, 2, 1, 2, 2, 2, 1, 0, 0, 3, 4, 4, 1, 1, 3, 3, 0, 3, 1, 4, 3, 3, 2, 3, 4, 1, 3, 4, 4, 1, 2, 4, 4, 4, 3, 1, 2, 3, 1, 3, 4, 3, 1, 3, 4, 1, 1, 2, 1, 1, 4, 2, 4, 1, 4, 2, 4, 2, 4, 3, 3, 2, 2, 0, 2, 2, 2, 2, 4, 1, 0, 2, 0, 0, 0, 4, 0, 3, 1, 3, 2, 2, 0, 4, 2, 1, 1, 2, 3, 1, 2, 0, 1, 2, 3, 3, 2, 2, 4, 2, 1, 4, 1, 1, 2, 2, 4, 2, 4, 4, 4, 2, 2, 2, 1, 1, 2, 2, 3, 1, 2, 1, 3, 4, 0, 0, 2, 0, 0, 2, 4, 4, 2, 4, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 4, 0, 3, 3, 3, 3, 2, 2] pubkeycol1636 = [3, 1, 2, 2, 4, 3, 1, 1, 2, 1, 4, 0, 2, 1, 3, 3, 4, 0, 1, 1, 4, 1, 3, 4, 0, 3, 1, 0, 3, 4, 2, 4, 0, 4, 1, 4, 2, 2, 4, 0, 4, 2, 2, 1, 4, 4, 2, 0, 0, 1, 1, 0, 1, 1, 3, 0, 1, 4, 0, 1, 1, 4, 3, 4, 4, 4, 3, 0, 1, 0, 3, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 3, 2, 0, 2, 0, 4, 2, 3, 0, 1, 0, 0, 4, 3, 2, 4, 3, 0, 4, 0, 2, 4, 2, 4, 0, 2, 0, 2, 3, 0, 1, 3, 0, 1, 4, 3, 2, 2, 2, 3, 4, 2, 4, 3, 0, 4, 0, 0, 0, 0, 4, 1, 2, 3, 3, 0, 3, 3, 4, 1, 2, 3, 2, 3, 1, 1, 2, 1, 3, 4, 3, 2, 1, 4, 1, 4, 0, 3, 1, 2, 0, 2, 4, 1, 0, 1, 2, 3, 0, 0, 3, 4, 2, 0, 1, 4, 4, 2, 3, 2, 3, 1, 3, 1, 4, 2, 3, 3, 0, 4, 2, 4, 4, 0, 1, 3, 0, 4, 4, 4, 0, 1, 3, 4, 1, 1, 4, 0, 1, 0, 2, 0, 1, 0, 1, 3, 0, 2, 3, 3, 4, 2, 2, 2, 0, 3, 0, 0, 3, 3, 2, 0, 3, 3, 2, 1, 1, 4, 2, 0, 2, 0, 1, 4, 2, 0, 0, 2, 2, 4, 2, 4, 2, 1, 2, 4, 1, 0, 1, 3, 0, 1, 1, 3, 4, 4, 2, 2, 2, 0, 2, 1, 0, 3, 1, 2, 1, 4, 1, 3, 3, 0, 1, 4, 1, 3, 0, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 4, 4, 1, 2, 4, 2, 4, 2, 1, 4, 4, 3, 3, 0, 3, 0, 2, 1, 1, 2, 2, 2, 2, 3, 3, 1, 0, 3, 4, 4, 4, 2, 3, 2, 4, 3, 3, 2, 1, 2, 3, 4, 4, 3, 4, 1, 2, 2, 4, 3, 2, 0, 4, 4, 0, 1, 0, 3, 1, 4, 1, 0, 4, 4, 1, 0, 3, 1, 0, 1, 0, 2, 1, 3, 4, 4, 4, 2, 1, 2, 3, 4, 1, 4, 2, 4, 3, 4, 4, 2, 4, 4, 2, 3, 3, 2, 0, 0, 4, 3, 2, 0, 4, 1, 4, 4, 3, 3, 4, 4, 4, 3, 3, 1, 0, 4, 1, 3, 0, 3, 2, 4, 2, 0, 4, 4, 4, 3, 1, 3, 3, 4, 2, 1, 1, 0, 1, 0, 4, 1, 0, 0, 1, 1, 2, 3, 3, 3, 2, 4, 3, 0, 2, 0, 0, 0, 0, 2, 2, 4, 4, 1, 4, 4, 0, 4, 3, 3, 3, 2, 4, 1, 0, 4, 4, 4, 1, 1, 3, 1] pubkeycol1637 = [0, 3, 4, 4, 2, 1, 1, 3, 1, 1, 3, 1, 4, 1, 2, 4, 4, 4, 0, 3, 1, 2, 0, 2, 2, 1, 0, 2, 3, 2, 3, 2, 0, 3, 4, 3, 4, 0, 1, 0, 0, 4, 1, 2, 3, 4, 3, 0, 4, 3, 1, 1, 3, 2, 1, 1, 1, 0, 3, 3, 4, 0, 2, 2, 2, 0, 2, 1, 4, 0, 4, 0, 4, 1, 4, 3, 1, 4, 3, 3, 0, 3, 2, 3, 3, 0, 3, 0, 1, 2, 3, 2, 2, 3, 1, 0, 1, 3, 0, 3, 3, 1, 3, 0, 3, 0, 1, 3, 3, 4, 0, 0, 2, 1, 4, 3, 2, 2, 0, 0, 3, 1, 2, 0, 1, 0, 0, 4, 4, 0, 2, 0, 3, 0, 0, 0, 3, 1, 1, 2, 3, 0, 0, 1, 1, 0, 3, 0, 0, 2, 0, 4, 4, 2, 1, 3, 0, 2, 3, 3, 0, 0, 2, 3, 1, 0, 3, 1, 2, 2, 2, 0, 3, 3, 1, 4, 1, 2, 4, 0, 1, 1, 3, 1, 4, 4, 1, 4, 1, 2, 4, 0, 2, 0, 2, 2, 3, 1, 0, 4, 0, 2, 4, 2, 4, 1, 4, 1, 1, 3, 1, 4, 1, 2, 0, 4, 4, 2, 4, 1, 4, 0, 0, 2, 3, 2, 0, 2, 1, 3, 3, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 3, 2, 2, 4, 2, 1, 2, 0, 0, 3, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 4, 2, 4, 3, 4, 0, 2, 1, 2, 0, 1, 1, 3, 4, 0, 3, 0, 4, 3, 4, 4, 1, 4, 0, 0, 4, 0, 4, 2, 4, 0, 0, 4, 4, 4, 4, 2, 4, 2, 4, 1, 0, 0, 3, 1, 1, 4, 1, 0, 4, 3, 0, 1, 0, 3, 1, 4, 3, 3, 0, 1, 4, 0, 4, 0, 0, 4, 2, 4, 4, 1, 0, 1, 0, 4, 3, 4, 0, 4, 3, 0, 1, 1, 0, 4, 1, 1, 3, 1, 3, 2, 3, 4, 0, 2, 3, 4, 0, 2, 0, 2, 3, 1, 0, 1, 4, 2, 4, 0, 0, 3, 0, 0, 4, 3, 2, 0, 1, 2, 2, 0, 0, 3, 2, 4, 0, 0, 3, 2, 0, 3, 3, 2, 3, 3, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0, 2, 4, 4, 1, 3, 3, 4, 2, 0, 1, 4, 4, 3, 1, 0, 0, 3, 2, 3, 4, 3, 1, 0, 4, 0, 3, 4, 4, 4, 3, 0, 2, 3, 2, 1, 4, 1, 4, 3, 2, 1, 4, 0, 3, 1, 4, 3, 4, 0, 4, 1, 0, 0, 0, 2, 0, 1, 4, 0, 0, 1, 0, 1, 2, 0] pubkeycol1638 = [3, 4, 4, 4, 0, 0, 0, 0, 1, 3, 4, 3, 0, 2, 0, 3, 2, 4, 3, 3, 2, 4, 4, 1, 3, 0, 0, 3, 0, 0, 2, 1, 3, 3, 1, 3, 0, 1, 2, 0, 1, 2, 4, 4, 1, 2, 2, 3, 0, 3, 0, 3, 0, 1, 4, 3, 0, 0, 1, 4, 0, 0, 4, 4, 0, 3, 3, 4, 1, 3, 3, 3, 0, 4, 0, 0, 0, 1, 4, 2, 3, 1, 3, 3, 0, 3, 3, 3, 2, 1, 3, 4, 4, 2, 2, 0, 2, 4, 0, 3, 0, 2, 2, 1, 3, 3, 4, 0, 0, 0, 3, 0, 0, 4, 3, 1, 1, 1, 1, 0, 0, 4, 1, 4, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 3, 0, 1, 4, 2, 1, 1, 2, 0, 0, 0, 3, 4, 1, 0, 1, 3, 4, 3, 1, 4, 1, 2, 1, 1, 2, 1, 2, 3, 0, 2, 1, 4, 0, 2, 0, 0, 0, 2, 4, 2, 0, 1, 3, 1, 4, 4, 3, 4, 0, 3, 4, 1, 2, 3, 4, 1, 3, 3, 0, 3, 1, 2, 1, 3, 4, 3, 3, 0, 1, 2, 4, 0, 3, 3, 2, 4, 1, 0, 2, 4, 1, 4, 2, 3, 2, 0, 3, 2, 3, 0, 0, 3, 4, 1, 2, 1, 2, 3, 4, 0, 0, 0, 4, 1, 4, 1, 2, 2, 3, 1, 0, 0, 1, 2, 0, 2, 3, 2, 4, 3, 4, 0, 3, 1, 1, 0, 2, 3, 2, 0, 2, 0, 4, 2, 1, 0, 3, 3, 2, 0, 2, 3, 3, 0, 4, 4, 2, 2, 1, 0, 4, 3, 1, 1, 1, 1, 4, 0, 2, 3, 1, 4, 1, 1, 4, 1, 2, 1, 1, 1, 2, 1, 4, 0, 2, 4, 2, 0, 0, 1, 2, 2, 2, 3, 0, 1, 1, 1, 4, 0, 2, 1, 4, 3, 2, 3, 0, 2, 1, 1, 0, 3, 3, 4, 0, 2, 2, 0, 1, 3, 2, 1, 4, 4, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 4, 0, 4, 0, 1, 1, 1, 0, 4, 2, 4, 2, 4, 3, 4, 0, 4, 0, 3, 3, 4, 4, 3, 4, 0, 4, 1, 2, 2, 3, 1, 4, 1, 4, 3, 1, 2, 1, 2, 3, 3, 2, 0, 3, 2, 4, 1, 1, 4, 4, 0, 1, 3, 0, 0, 1, 1, 3, 2, 1, 0, 2, 1, 1, 2, 4, 2, 2, 4, 1, 1, 2, 0, 0, 0, 0, 0, 4, 4, 2, 3, 0, 4, 0, 2, 4, 1, 1, 2, 0, 0, 3, 4, 3, 4, 4, 3, 1, 0, 3, 3, 2, 3, 4, 4, 4, 1, 4, 0, 2, 1] pubkeycol1639 = [2, 1, 3, 3, 1, 2, 3, 2, 2, 2, 4, 1, 2, 2, 3, 4, 4, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 4, 2, 3, 0, 0, 4, 1, 2, 1, 4, 4, 1, 3, 3, 1, 2, 3, 4, 0, 1, 1, 3, 1, 4, 3, 0, 2, 1, 2, 2, 4, 1, 3, 1, 0, 4, 0, 2, 2, 0, 4, 2, 2, 2, 3, 1, 0, 2, 1, 1, 2, 1, 3, 4, 3, 0, 4, 1, 3, 0, 3, 3, 3, 2, 3, 2, 1, 4, 0, 1, 4, 4, 3, 4, 4, 2, 0, 2, 1, 4, 2, 3, 0, 4, 3, 4, 0, 3, 2, 1, 2, 0, 1, 4, 3, 0, 4, 0, 4, 4, 0, 1, 1, 4, 4, 3, 0, 0, 3, 2, 3, 4, 4, 4, 3, 3, 2, 2, 4, 1, 0, 0, 4, 0, 3, 1, 1, 3, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 4, 1, 4, 1, 4, 0, 4, 3, 0, 0, 4, 1, 1, 3, 3, 2, 2, 2, 0, 1, 4, 4, 3, 4, 0, 4, 4, 1, 4, 4, 4, 1, 0, 4, 1, 0, 2, 0, 4, 4, 4, 4, 4, 1, 0, 2, 4, 2, 3, 1, 2, 0, 2, 3, 4, 3, 0, 2, 3, 0, 4, 2, 2, 1, 3, 3, 0, 1, 3, 1, 2, 0, 0, 3, 1, 2, 2, 1, 2, 2, 1, 4, 4, 1, 2, 4, 0, 4, 2, 2, 0, 4, 1, 3, 2, 3, 3, 3, 0, 2, 0, 1, 3, 1, 0, 1, 3, 4, 4, 4, 2, 4, 2, 0, 2, 1, 3, 0, 4, 4, 3, 1, 4, 1, 0, 3, 3, 2, 3, 0, 1, 3, 1, 2, 0, 4, 2, 2, 2, 1, 1, 0, 2, 3, 1, 4, 2, 4, 1, 2, 4, 2, 0, 4, 0, 1, 0, 1, 2, 0, 0, 0, 4, 0, 3, 3, 3, 2, 1, 4, 3, 2, 3, 3, 2, 3, 1, 1, 0, 3, 4, 0, 0, 0, 3, 2, 4, 0, 2, 3, 4, 1, 4, 2, 4, 1, 4, 2, 1, 3, 0, 3, 2, 1, 2, 2, 0, 1, 0, 3, 3, 1, 3, 0, 4, 3, 0, 4, 4, 0, 3, 1, 2, 3, 0, 0, 0, 0, 4, 4, 1, 4, 2, 0, 2, 3, 4, 1, 1, 2, 4, 1, 3, 4, 3, 2, 2, 2, 4, 3, 3, 3, 3, 0, 3, 0, 3, 4, 3, 2, 3, 2, 3, 3, 4, 0, 0, 0, 1, 4, 1, 2, 3, 0, 4, 3, 4, 2, 0, 1, 0, 3, 2, 4, 4, 0, 1, 3, 0, 2, 4, 4, 0, 2, 3, 0, 2, 1, 1, 0, 2, 3, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 4, 0] pubkeycol1640 = [0, 3, 4, 3, 3, 1, 3, 1, 4, 3, 0, 2, 0, 3, 3, 3, 2, 3, 1, 0, 4, 4, 1, 3, 3, 1, 0, 1, 3, 4, 4, 2, 3, 1, 3, 2, 4, 2, 3, 4, 0, 4, 3, 0, 0, 0, 4, 1, 1, 3, 1, 1, 3, 1, 2, 0, 4, 0, 4, 4, 2, 3, 4, 4, 1, 1, 3, 3, 4, 0, 3, 3, 0, 3, 0, 1, 4, 2, 1, 2, 3, 2, 2, 1, 2, 2, 2, 3, 3, 1, 0, 3, 3, 0, 1, 1, 4, 1, 2, 3, 4, 2, 0, 2, 0, 4, 1, 3, 3, 2, 0, 0, 4, 1, 3, 3, 0, 1, 3, 4, 4, 1, 2, 0, 4, 1, 4, 4, 0, 1, 1, 2, 1, 2, 3, 1, 1, 0, 2, 3, 1, 3, 0, 4, 3, 2, 2, 1, 2, 1, 0, 0, 3, 1, 4, 1, 4, 3, 3, 3, 1, 0, 3, 0, 2, 0, 2, 2, 1, 4, 4, 4, 3, 1, 4, 4, 4, 0, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 0, 4, 4, 2, 1, 1, 2, 2, 1, 2, 4, 0, 0, 3, 1, 3, 3, 3, 3, 3, 3, 0, 2, 1, 3, 2, 0, 2, 3, 3, 2, 0, 3, 0, 0, 2, 0, 0, 4, 2, 4, 4, 4, 0, 2, 2, 2, 2, 3, 0, 2, 0, 3, 0, 4, 2, 2, 0, 1, 2, 4, 3, 0, 3, 3, 0, 3, 0, 0, 1, 1, 0, 4, 1, 1, 3, 0, 4, 3, 0, 0, 3, 3, 2, 0, 1, 4, 4, 4, 2, 1, 3, 4, 4, 4, 3, 1, 0, 3, 3, 0, 3, 4, 3, 0, 2, 2, 2, 0, 2, 3, 1, 1, 1, 1, 1, 0, 4, 4, 2, 2, 4, 0, 1, 1, 3, 2, 3, 3, 4, 0, 1, 3, 3, 1, 3, 4, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 3, 0, 1, 3, 3, 0, 4, 3, 4, 3, 2, 0, 2, 0, 4, 3, 1, 1, 4, 4, 4, 4, 2, 2, 3, 1, 1, 1, 1, 3, 4, 2, 0, 2, 2, 0, 4, 0, 3, 4, 0, 0, 3, 0, 0, 2, 1, 1, 0, 2, 4, 1, 1, 3, 2, 2, 4, 1, 2, 0, 2, 2, 4, 1, 2, 1, 4, 3, 4, 1, 1, 0, 2, 3, 0, 4, 4, 4, 2, 4, 3, 2, 0, 3, 4, 4, 2, 3, 0, 0, 3, 1, 2, 4, 0, 3, 0, 4, 1, 4, 3, 4, 3, 2, 3, 2, 2, 4, 3, 1, 4, 1, 2, 0, 4, 4, 4, 4, 0, 3, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 3, 0, 1, 4, 2, 4, 0, 3, 4] pubkeycol1641 = [1, 1, 3, 2, 4, 1, 2, 1, 3, 3, 2, 3, 4, 2, 4, 4, 1, 2, 0, 0, 0, 3, 4, 3, 2, 0, 4, 4, 0, 1, 1, 2, 0, 0, 4, 4, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 3, 3, 3, 1, 3, 2, 2, 0, 1, 1, 0, 2, 4, 3, 2, 3, 4, 4, 1, 3, 3, 2, 3, 2, 0, 0, 0, 2, 4, 4, 1, 3, 2, 0, 4, 1, 0, 2, 1, 1, 2, 1, 1, 0, 3, 4, 4, 0, 1, 0, 1, 4, 1, 2, 3, 1, 0, 0, 3, 4, 2, 3, 1, 2, 1, 2, 2, 3, 0, 4, 2, 1, 4, 0, 4, 4, 4, 1, 2, 4, 1, 3, 4, 1, 3, 4, 1, 1, 0, 2, 3, 3, 0, 1, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 0, 2, 3, 3, 2, 4, 2, 3, 1, 3, 1, 1, 1, 3, 3, 2, 1, 0, 1, 4, 0, 2, 3, 2, 1, 4, 2, 3, 2, 4, 2, 1, 2, 1, 4, 4, 0, 1, 2, 2, 1, 0, 3, 0, 2, 4, 0, 3, 2, 1, 2, 0, 1, 2, 0, 4, 2, 0, 1, 3, 4, 3, 4, 4, 0, 4, 1, 3, 0, 4, 4, 2, 0, 3, 4, 3, 2, 0, 3, 0, 0, 2, 4, 4, 1, 4, 0, 4, 3, 1, 0, 4, 2, 2, 4, 0, 1, 2, 4, 3, 2, 2, 0, 3, 4, 4, 3, 2, 4, 0, 0, 4, 4, 1, 1, 3, 1, 4, 3, 2, 4, 2, 1, 1, 2, 0, 0, 2, 1, 3, 3, 2, 1, 3, 2, 2, 2, 2, 3, 0, 1, 1, 4, 4, 4, 1, 3, 2, 4, 3, 1, 1, 3, 1, 3, 3, 4, 2, 2, 4, 4, 4, 0, 0, 0, 2, 2, 0, 4, 2, 3, 1, 2, 0, 3, 0, 3, 3, 0, 2, 2, 2, 2, 2, 4, 0, 3, 1, 4, 3, 4, 0, 1, 4, 3, 3, 0, 0, 3, 1, 1, 3, 3, 1, 4, 2, 1, 2, 0, 4, 0, 2, 3, 1, 4, 0, 3, 4, 4, 4, 1, 2, 3, 2, 4, 1, 2, 4, 3, 4, 3, 0, 0, 4, 2, 4, 4, 0, 2, 4, 0, 0, 2, 1, 3, 4, 3, 2, 1, 0, 1, 3, 0, 4, 0, 0, 3, 0, 2, 4, 0, 3, 1, 2, 0, 1, 0, 1, 4, 4, 2, 2, 3, 4, 1, 3, 1, 4, 3, 0, 4, 3, 0, 1, 2, 4, 0, 4, 3, 2, 2, 4, 0, 2, 4, 4, 2, 1, 3, 2, 3, 1, 3, 3, 1, 0, 0, 1, 0, 4, 3, 2, 4, 4, 0, 4, 2, 3, 1, 3, 4, 1, 2, 3, 4, 2, 0, 2, 3, 1] pubkeycol1642 = [2, 2, 0, 1, 3, 3, 4, 3, 2, 3, 2, 3, 0, 4, 0, 1, 1, 2, 3, 2, 2, 4, 4, 3, 4, 2, 4, 3, 0, 1, 3, 4, 4, 1, 2, 4, 3, 0, 3, 0, 3, 4, 1, 0, 3, 0, 1, 1, 3, 3, 4, 0, 3, 3, 4, 1, 0, 3, 0, 4, 1, 3, 2, 1, 4, 1, 0, 4, 4, 0, 3, 4, 0, 1, 4, 2, 0, 0, 2, 3, 1, 1, 1, 4, 4, 1, 2, 0, 3, 0, 3, 4, 4, 4, 3, 4, 2, 4, 3, 4, 0, 4, 3, 2, 1, 4, 3, 3, 4, 1, 0, 1, 3, 2, 0, 1, 1, 0, 3, 2, 0, 0, 1, 4, 0, 4, 0, 1, 3, 4, 3, 4, 1, 1, 1, 1, 4, 4, 4, 3, 2, 1, 4, 0, 4, 1, 3, 2, 4, 1, 1, 2, 4, 4, 3, 1, 4, 4, 2, 0, 0, 4, 3, 1, 1, 3, 1, 0, 0, 2, 3, 0, 2, 3, 4, 4, 4, 3, 4, 2, 4, 2, 1, 4, 0, 1, 4, 1, 3, 4, 1, 2, 1, 4, 4, 0, 4, 0, 3, 2, 3, 2, 3, 4, 0, 1, 0, 0, 0, 1, 0, 0, 4, 0, 3, 3, 4, 4, 0, 0, 2, 2, 3, 0, 3, 4, 2, 4, 2, 1, 0, 0, 4, 1, 2, 2, 0, 0, 2, 3, 4, 2, 1, 3, 4, 4, 2, 0, 1, 4, 2, 4, 0, 3, 4, 0, 4, 0, 1, 4, 1, 1, 4, 2, 3, 2, 4, 1, 3, 4, 4, 1, 4, 1, 1, 1, 1, 2, 1, 4, 0, 4, 1, 0, 2, 0, 1, 1, 1, 0, 4, 0, 0, 3, 3, 1, 1, 3, 4, 4, 4, 2, 0, 3, 4, 4, 1, 2, 1, 4, 4, 4, 0, 4, 3, 2, 3, 1, 0, 2, 3, 4, 2, 1, 1, 4, 1, 0, 3, 1, 2, 2, 0, 1, 0, 0, 4, 4, 1, 1, 2, 2, 4, 4, 3, 3, 2, 4, 2, 1, 3, 3, 1, 4, 4, 1, 4, 1, 3, 2, 2, 0, 2, 2, 1, 2, 2, 3, 4, 2, 4, 0, 2, 0, 0, 2, 3, 0, 2, 1, 2, 2, 4, 0, 3, 1, 0, 3, 1, 0, 1, 0, 2, 0, 2, 1, 4, 2, 2, 1, 4, 4, 1, 2, 3, 0, 4, 4, 0, 4, 4, 4, 2, 4, 2, 4, 4, 0, 4, 2, 3, 0, 2, 4, 3, 3, 3, 2, 3, 1, 3, 3, 4, 0, 3, 3, 2, 1, 0, 3, 2, 0, 1, 1, 0, 3, 3, 4, 0, 3, 1, 4, 0, 0, 0, 0, 1, 4, 3, 3, 2, 0, 0, 0, 3, 3, 2, 3, 1, 1, 4, 4, 4, 3, 2, 3, 4, 3, 2, 0] pubkeycol1643 = [3, 1, 3, 4, 4, 1, 2, 1, 1, 2, 4, 3, 3, 2, 2, 4, 2, 3, 0, 3, 3, 4, 2, 3, 3, 0, 0, 2, 4, 0, 3, 4, 1, 3, 1, 0, 1, 2, 4, 1, 1, 0, 0, 1, 2, 1, 2, 4, 0, 3, 1, 1, 2, 1, 2, 0, 3, 1, 3, 3, 3, 1, 4, 2, 4, 1, 1, 1, 0, 3, 0, 2, 4, 1, 4, 4, 1, 0, 0, 0, 3, 3, 2, 1, 2, 3, 0, 2, 1, 2, 2, 1, 2, 0, 4, 3, 1, 1, 4, 4, 3, 0, 0, 1, 1, 0, 2, 3, 0, 4, 3, 1, 1, 3, 0, 1, 0, 4, 2, 3, 2, 3, 1, 2, 4, 3, 2, 0, 1, 0, 4, 4, 1, 4, 3, 3, 4, 2, 2, 4, 0, 4, 3, 3, 4, 4, 1, 0, 4, 2, 0, 1, 0, 0, 0, 1, 2, 2, 4, 2, 2, 4, 1, 4, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 3, 1, 3, 1, 1, 3, 1, 1, 1, 2, 3, 1, 0, 0, 4, 0, 1, 4, 1, 4, 1, 4, 0, 1, 0, 1, 1, 1, 0, 4, 2, 4, 0, 2, 1, 2, 3, 3, 4, 1, 3, 1, 0, 0, 3, 3, 0, 3, 4, 3, 3, 3, 2, 2, 2, 0, 2, 0, 3, 3, 1, 0, 4, 1, 2, 3, 1, 0, 3, 2, 2, 3, 0, 4, 0, 3, 2, 2, 4, 2, 2, 3, 0, 2, 3, 1, 1, 1, 3, 1, 1, 2, 2, 3, 1, 4, 1, 3, 4, 4, 2, 4, 0, 4, 3, 0, 4, 0, 3, 0, 2, 1, 4, 2, 3, 2, 4, 2, 4, 0, 1, 0, 3, 3, 2, 2, 1, 0, 3, 0, 0, 3, 2, 2, 4, 3, 2, 2, 4, 0, 1, 4, 0, 4, 3, 4, 2, 2, 2, 0, 3, 1, 4, 1, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 4, 2, 1, 2, 1, 1, 4, 0, 1, 2, 4, 2, 4, 4, 4, 3, 1, 3, 3, 2, 3, 4, 4, 2, 0, 0, 4, 0, 1, 0, 4, 4, 3, 2, 0, 1, 3, 0, 3, 2, 1, 1, 4, 3, 1, 0, 2, 2, 4, 4, 2, 1, 2, 3, 3, 3, 0, 3, 1, 2, 1, 3, 1, 2, 1, 1, 2, 4, 0, 3, 0, 0, 3, 1, 0, 2, 1, 3, 4, 1, 1, 3, 1, 1, 2, 0, 2, 3, 4, 4, 4, 2, 1, 2, 2, 1, 3, 2, 1, 4, 1, 1, 2, 0, 0, 2, 4, 2, 3, 0, 1, 2, 3, 0, 0, 0, 4, 0, 2, 0, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 3, 2, 2, 1, 1, 1] pubkeycol1644 = [2, 4, 3, 0, 0, 0, 4, 0, 2, 4, 2, 3, 4, 3, 0, 1, 0, 2, 4, 2, 2, 4, 2, 2, 4, 0, 0, 2, 0, 1, 3, 4, 1, 2, 1, 1, 3, 0, 4, 3, 2, 4, 4, 1, 0, 2, 3, 4, 3, 4, 4, 0, 0, 2, 4, 2, 1, 0, 0, 1, 3, 2, 0, 4, 0, 2, 3, 1, 4, 0, 2, 4, 0, 0, 1, 2, 4, 4, 1, 1, 1, 0, 4, 3, 4, 2, 4, 1, 1, 3, 2, 1, 0, 1, 4, 1, 4, 0, 0, 1, 2, 1, 1, 2, 2, 4, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 3, 3, 4, 4, 1, 4, 3, 2, 3, 0, 3, 0, 0, 0, 4, 0, 4, 2, 4, 3, 0, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 4, 0, 1, 1, 4, 3, 2, 3, 1, 4, 0, 0, 0, 0, 4, 0, 2, 4, 1, 0, 4, 1, 3, 4, 0, 1, 4, 2, 0, 2, 0, 3, 1, 0, 3, 1, 0, 3, 1, 0, 4, 2, 0, 0, 0, 4, 0, 2, 0, 3, 4, 4, 3, 4, 2, 3, 0, 1, 3, 4, 0, 2, 4, 2, 3, 2, 3, 4, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 3, 1, 2, 0, 3, 4, 3, 4, 4, 3, 3, 0, 0, 1, 3, 0, 1, 2, 1, 2, 3, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 3, 4, 3, 0, 3, 0, 0, 3, 3, 2, 1, 3, 2, 1, 2, 2, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 0, 2, 1, 2, 1, 4, 4, 4, 4, 0, 4, 3, 4, 4, 1, 0, 4, 1, 4, 3, 1, 3, 4, 4, 3, 3, 2, 3, 2, 0, 1, 2, 1, 0, 2, 0, 4, 3, 2, 3, 3, 4, 3, 0, 0, 0, 4, 3, 4, 2, 0, 0, 4, 2, 1, 4, 0, 4, 4, 3, 3, 2, 1, 3, 2, 2, 4, 0, 3, 2, 4, 3, 0, 4, 2, 1, 0, 4, 1, 4, 2, 3, 0, 1, 3, 0, 0, 0, 1, 4, 2, 3, 4, 2, 3, 2, 1, 3, 3, 4, 2, 3, 0, 2, 2, 2, 3, 1, 0, 3, 0, 3, 1, 4, 4, 2, 4, 3, 2, 2, 2, 4, 4, 2, 2, 0, 1, 4, 0, 1, 2, 2, 2, 4, 4, 4, 2, 3, 1, 0, 3, 4, 3, 4, 3, 4, 1, 0, 4, 1, 1, 3, 3, 1, 1, 4, 1, 2, 1, 0, 3, 3, 1, 1, 1, 4, 3, 0, 1, 2, 1, 0, 0, 1, 0, 2, 4, 1, 1, 0, 2, 1, 4, 0, 1, 3, 3, 2, 2, 3, 0, 1, 3, 2, 0, 0] pubkeycol1645 = [3, 0, 0, 1, 1, 4, 3, 1, 0, 3, 3, 3, 3, 0, 3, 4, 4, 1, 3, 2, 3, 3, 4, 2, 0, 4, 3, 2, 0, 3, 0, 2, 0, 3, 1, 4, 3, 4, 2, 4, 4, 3, 3, 0, 1, 3, 3, 0, 1, 1, 0, 0, 1, 1, 3, 0, 2, 2, 2, 1, 3, 4, 4, 4, 0, 4, 3, 3, 0, 2, 0, 0, 0, 1, 1, 3, 4, 2, 0, 4, 1, 0, 0, 1, 1, 3, 3, 4, 3, 4, 1, 4, 3, 0, 1, 2, 0, 0, 0, 4, 1, 1, 0, 4, 3, 2, 0, 3, 4, 3, 1, 0, 2, 2, 2, 1, 2, 4, 1, 3, 2, 2, 1, 4, 3, 3, 1, 4, 2, 2, 0, 2, 2, 3, 2, 3, 3, 2, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 0, 2, 1, 1, 1, 3, 4, 3, 0, 3, 3, 2, 4, 4, 1, 3, 0, 2, 0, 3, 3, 0, 0, 3, 2, 1, 2, 2, 1, 2, 3, 4, 3, 0, 3, 2, 3, 1, 1, 1, 2, 4, 0, 3, 2, 2, 0, 1, 0, 0, 4, 3, 3, 0, 0, 4, 0, 4, 3, 3, 3, 1, 4, 3, 4, 0, 2, 1, 2, 4, 4, 1, 2, 1, 4, 3, 1, 4, 4, 1, 1, 4, 3, 2, 3, 0, 4, 2, 2, 2, 0, 4, 1, 2, 3, 1, 4, 1, 1, 1, 1, 1, 4, 3, 1, 1, 4, 2, 3, 0, 0, 4, 0, 4, 1, 2, 3, 3, 3, 1, 0, 0, 4, 0, 3, 0, 4, 2, 0, 4, 1, 1, 4, 4, 4, 0, 1, 4, 0, 0, 4, 3, 4, 3, 0, 3, 1, 0, 3, 0, 4, 1, 0, 3, 4, 1, 4, 0, 4, 0, 0, 2, 2, 4, 1, 3, 1, 1, 1, 1, 0, 3, 4, 3, 2, 0, 4, 0, 1, 2, 1, 4, 3, 0, 3, 3, 2, 1, 2, 4, 2, 4, 3, 2, 3, 2, 1, 1, 4, 0, 0, 4, 2, 1, 1, 1, 0, 4, 4, 2, 0, 2, 1, 0, 4, 2, 2, 2, 4, 4, 0, 0, 1, 2, 1, 1, 1, 0, 1, 3, 2, 0, 0, 0, 4, 3, 0, 4, 3, 2, 3, 2, 3, 4, 4, 3, 2, 0, 4, 4, 3, 3, 2, 3, 3, 3, 4, 1, 3, 4, 2, 3, 1, 2, 4, 3, 4, 3, 0, 1, 4, 3, 2, 3, 0, 3, 2, 1, 4, 4, 3, 3, 4, 0, 0, 3, 1, 1, 0, 2, 1, 1, 2, 2, 3, 2, 1, 3, 0, 2, 2, 2, 4, 3, 0, 0, 3, 1, 3, 3, 2, 3, 4, 0, 4, 2, 4, 4, 3, 4, 3, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 4] pubkeycol1646 = [2, 2, 1, 2, 1, 2, 2, 1, 3, 0, 3, 3, 0, 2, 2, 4, 3, 0, 0, 1, 0, 1, 4, 2, 1, 2, 4, 3, 3, 2, 3, 1, 3, 0, 2, 3, 3, 2, 4, 4, 2, 3, 2, 4, 2, 2, 4, 1, 3, 4, 2, 4, 4, 0, 0, 4, 1, 0, 2, 0, 0, 3, 2, 1, 1, 0, 4, 0, 2, 0, 1, 1, 2, 1, 2, 1, 3, 4, 2, 1, 2, 1, 2, 0, 4, 0, 3, 1, 3, 3, 4, 3, 0, 2, 4, 4, 1, 4, 0, 0, 2, 4, 1, 4, 1, 0, 2, 1, 4, 2, 1, 0, 4, 4, 3, 0, 2, 4, 2, 0, 1, 2, 0, 4, 1, 0, 1, 3, 3, 3, 4, 3, 2, 0, 4, 0, 2, 2, 1, 4, 3, 1, 4, 2, 3, 4, 3, 2, 3, 3, 3, 2, 2, 4, 3, 1, 2, 0, 2, 4, 2, 1, 4, 4, 1, 1, 2, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 1, 3, 1, 0, 1, 0, 2, 0, 1, 3, 2, 1, 2, 0, 0, 0, 4, 1, 1, 2, 4, 2, 3, 1, 3, 2, 1, 2, 1, 0, 4, 2, 0, 2, 3, 4, 1, 2, 4, 1, 3, 2, 4, 4, 4, 0, 1, 2, 3, 2, 2, 1, 3, 4, 4, 0, 0, 0, 2, 2, 2, 3, 1, 3, 0, 4, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 3, 0, 4, 2, 3, 1, 2, 1, 4, 4, 1, 4, 0, 3, 4, 4, 4, 0, 1, 1, 0, 0, 2, 4, 1, 4, 1, 0, 2, 2, 3, 3, 4, 0, 3, 1, 2, 2, 4, 4, 4, 1, 2, 3, 2, 3, 1, 4, 0, 0, 0, 4, 3, 3, 2, 0, 0, 1, 3, 3, 3, 4, 1, 1, 2, 1, 1, 0, 2, 1, 4, 0, 4, 4, 4, 0, 3, 4, 1, 1, 4, 4, 2, 1, 0, 3, 0, 0, 1, 0, 1, 4, 0, 3, 3, 3, 4, 1, 1, 0, 1, 2, 4, 2, 3, 4, 1, 2, 0, 1, 1, 3, 1, 0, 1, 3, 1, 0, 4, 3, 0, 3, 1, 0, 3, 3, 1, 0, 2, 3, 3, 2, 2, 4, 3, 1, 4, 0, 1, 2, 3, 1, 4, 1, 2, 0, 3, 1, 1, 0, 4, 1, 3, 1, 3, 3, 1, 1, 3, 1, 0, 2, 0, 0, 0, 1, 4, 3, 0, 3, 2, 2, 4, 4, 2, 3, 3, 3, 4, 4, 4, 4, 0, 4, 3, 0, 1, 2, 1, 3, 0, 2, 1, 0, 4, 2, 4, 1, 4, 2, 0, 4, 0, 4, 3, 2, 4, 2, 3, 0, 3, 4, 1, 0, 4, 2, 0, 2, 2, 3] pubkeycol1647 = [4, 2, 1, 1, 4, 2, 4, 0, 4, 1, 2, 1, 2, 1, 4, 2, 3, 4, 2, 1, 0, 3, 4, 1, 3, 4, 4, 2, 0, 2, 4, 3, 2, 3, 3, 3, 3, 1, 1, 3, 2, 2, 2, 4, 2, 2, 2, 1, 3, 3, 2, 4, 3, 3, 1, 3, 3, 2, 1, 2, 1, 1, 2, 2, 4, 4, 3, 1, 2, 3, 1, 1, 4, 3, 2, 3, 2, 2, 2, 1, 0, 1, 1, 2, 2, 3, 1, 0, 2, 1, 3, 2, 2, 0, 2, 1, 1, 3, 2, 4, 0, 2, 3, 2, 2, 4, 2, 3, 3, 0, 3, 1, 1, 3, 0, 3, 1, 4, 1, 2, 3, 2, 1, 3, 0, 1, 4, 3, 4, 0, 1, 1, 4, 3, 3, 2, 4, 0, 2, 4, 0, 1, 0, 4, 0, 3, 2, 1, 3, 0, 4, 2, 1, 3, 1, 2, 1, 4, 0, 3, 0, 1, 2, 1, 1, 1, 2, 2, 4, 3, 1, 2, 2, 2, 2, 3, 0, 3, 2, 2, 3, 2, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 0, 4, 0, 3, 0, 2, 4, 4, 3, 1, 3, 2, 0, 4, 2, 2, 3, 4, 2, 0, 3, 2, 3, 3, 2, 0, 4, 3, 4, 3, 3, 3, 4, 3, 2, 4, 2, 3, 0, 3, 3, 4, 4, 4, 1, 3, 3, 2, 1, 1, 2, 3, 4, 3, 4, 4, 1, 3, 3, 1, 2, 1, 4, 1, 3, 2, 0, 1, 1, 3, 0, 3, 4, 4, 4, 1, 1, 2, 1, 0, 3, 3, 0, 3, 3, 4, 4, 4, 4, 1, 2, 4, 3, 1, 0, 1, 2, 0, 3, 0, 1, 1, 0, 3, 0, 3, 3, 1, 0, 2, 3, 4, 1, 3, 3, 1, 2, 2, 0, 0, 2, 3, 4, 4, 4, 3, 0, 1, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 3, 4, 3, 4, 2, 2, 0, 2, 0, 0, 0, 4, 0, 1, 1, 3, 0, 1, 1, 0, 3, 3, 1, 0, 3, 1, 3, 0, 1, 0, 2, 4, 2, 3, 1, 3, 2, 1, 0, 0, 0, 3, 3, 3, 4, 1, 1, 1, 0, 1, 0, 1, 4, 4, 0, 2, 3, 4, 3, 1, 3, 0, 2, 1, 1, 0, 2, 1, 3, 4, 3, 4, 2, 2, 0, 3, 1, 4, 0, 1, 2, 3, 0, 0, 1, 1, 3, 1, 3, 2, 4, 1, 0, 2, 2, 0, 3, 0, 3, 4, 2, 1, 2, 0, 3, 2, 1, 1, 2, 0, 4, 3, 2, 1, 3, 2, 3, 2, 1, 0, 2, 0, 2, 2, 4, 0, 0, 4, 0, 3, 3, 2, 4, 2, 2, 0, 4, 4, 1, 0, 1, 4, 3, 0, 3, 0, 1, 2] pubkeycol1648 = [0, 2, 3, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 3, 0, 3, 3, 3, 3, 2, 2, 4, 3, 4, 2, 3, 0, 3, 1, 1, 1, 0, 0, 2, 3, 4, 2, 0, 1, 0, 4, 1, 0, 2, 4, 2, 2, 0, 2, 0, 4, 3, 4, 3, 3, 4, 0, 1, 2, 2, 4, 1, 3, 2, 0, 2, 1, 4, 3, 1, 2, 0, 3, 3, 0, 0, 1, 0, 3, 4, 2, 3, 0, 3, 3, 1, 3, 4, 0, 2, 3, 2, 0, 2, 3, 0, 1, 4, 2, 0, 0, 2, 3, 0, 4, 0, 2, 1, 0, 2, 2, 3, 3, 3, 1, 1, 3, 0, 3, 2, 1, 1, 2, 2, 4, 3, 4, 2, 2, 2, 0, 1, 2, 2, 1, 3, 1, 3, 3, 0, 2, 1, 1, 1, 3, 1, 0, 0, 3, 3, 1, 2, 4, 0, 0, 4, 1, 3, 0, 3, 2, 4, 3, 4, 3, 4, 0, 2, 4, 2, 3, 3, 3, 2, 2, 4, 4, 3, 4, 0, 1, 4, 2, 0, 1, 2, 0, 0, 3, 0, 0, 4, 2, 3, 3, 2, 3, 2, 4, 2, 0, 3, 1, 2, 3, 3, 4, 3, 2, 2, 2, 2, 4, 0, 1, 3, 2, 4, 4, 4, 1, 1, 2, 1, 3, 2, 0, 4, 1, 0, 4, 1, 2, 0, 3, 1, 3, 4, 4, 3, 4, 4, 1, 2, 3, 0, 4, 2, 4, 0, 0, 4, 4, 3, 2, 4, 1, 1, 0, 3, 4, 2, 1, 4, 2, 2, 3, 3, 4, 4, 1, 0, 3, 2, 1, 3, 0, 4, 2, 1, 1, 1, 3, 1, 0, 0, 2, 2, 4, 2, 1, 2, 4, 4, 4, 0, 0, 2, 0, 1, 3, 3, 0, 4, 4, 2, 4, 2, 1, 1, 2, 0, 3, 3, 4, 3, 1, 3, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 3, 3, 3, 1, 3, 2, 2, 0, 1, 3, 3, 1, 3, 3, 1, 3, 4, 3, 1, 3, 1, 3, 3, 0, 3, 4, 4, 1, 0, 0, 3, 2, 2, 0, 1, 2, 3, 1, 3, 1, 3, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 3, 4, 4, 4, 1, 3, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 1, 1, 2, 3, 3, 2, 4, 2, 2, 2, 2, 3, 4, 0, 3, 0, 4, 3, 4, 1, 2, 0, 4, 4, 1, 0, 2, 3, 2, 2, 4, 4, 0, 0, 1, 0, 4, 4, 2, 2, 0, 4, 4, 4, 0, 4, 0, 3, 4, 4, 3, 3, 1, 0, 2, 2, 3, 3, 4, 2, 3, 3, 4, 1, 1, 0, 0, 2, 1, 0, 3, 3, 1, 4, 0, 3, 3] pubkeycol1649 = [1, 2, 2, 4, 4, 1, 0, 1, 3, 4, 0, 0, 1, 2, 0, 3, 1, 0, 2, 2, 4, 4, 3, 0, 3, 1, 0, 2, 4, 2, 4, 3, 0, 0, 3, 2, 1, 3, 1, 1, 2, 4, 1, 1, 0, 4, 3, 3, 3, 2, 2, 3, 3, 4, 0, 4, 2, 1, 4, 0, 1, 4, 3, 0, 4, 0, 2, 1, 0, 3, 3, 1, 2, 3, 1, 4, 0, 2, 4, 0, 0, 0, 1, 1, 4, 3, 4, 1, 3, 2, 2, 4, 2, 3, 2, 4, 2, 2, 3, 3, 4, 3, 0, 2, 0, 2, 0, 0, 1, 0, 3, 4, 0, 0, 0, 1, 0, 4, 4, 0, 4, 3, 0, 2, 2, 1, 3, 4, 0, 3, 4, 0, 4, 2, 2, 3, 2, 2, 3, 2, 1, 2, 1, 3, 1, 3, 4, 3, 2, 2, 0, 1, 2, 1, 2, 1, 3, 3, 2, 4, 4, 4, 1, 3, 3, 1, 4, 1, 0, 1, 1, 4, 4, 4, 4, 0, 3, 3, 0, 3, 4, 3, 2, 3, 3, 4, 0, 1, 4, 1, 0, 1, 3, 4, 4, 3, 0, 0, 0, 2, 3, 3, 0, 3, 2, 2, 1, 4, 3, 0, 4, 1, 3, 2, 2, 0, 1, 3, 0, 3, 2, 1, 4, 4, 1, 2, 1, 3, 0, 0, 0, 1, 4, 3, 0, 1, 0, 0, 0, 1, 1, 2, 0, 3, 0, 4, 1, 0, 0, 3, 2, 0, 2, 4, 0, 2, 0, 2, 4, 3, 4, 0, 0, 3, 3, 4, 4, 4, 0, 3, 4, 1, 4, 0, 4, 3, 0, 2, 4, 2, 0, 2, 4, 4, 2, 4, 1, 1, 3, 0, 3, 4, 0, 2, 0, 3, 3, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 4, 3, 1, 3, 0, 0, 1, 0, 1, 0, 3, 2, 4, 3, 3, 3, 2, 0, 0, 2, 2, 3, 4, 2, 0, 0, 4, 2, 3, 2, 4, 2, 1, 0, 3, 0, 1, 1, 1, 2, 2, 3, 1, 0, 0, 4, 3, 0, 3, 3, 0, 3, 1, 0, 4, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 3, 0, 1, 0, 1, 4, 3, 3, 4, 0, 3, 4, 2, 3, 3, 4, 2, 4, 0, 3, 3, 1, 3, 2, 0, 2, 0, 1, 4, 0, 1, 2, 0, 4, 4, 4, 0, 4, 4, 4, 0, 3, 2, 4, 2, 2, 0, 0, 2, 3, 4, 3, 2, 0, 3, 4, 2, 4, 0, 0, 1, 1, 4, 1, 4, 1, 0, 0, 2, 3, 1, 2, 2, 0, 3, 0, 0, 0, 0, 2, 0, 3, 1, 3, 1, 2, 1, 4, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 3, 2, 4, 4, 2, 4, 4, 0] pubkeycol1650 = [4, 1, 1, 3, 0, 4, 0, 4, 1, 1, 3, 2, 1, 2, 2, 2, 4, 0, 4, 3, 0, 3, 4, 2, 0, 0, 1, 2, 0, 1, 4, 3, 2, 4, 4, 2, 4, 4, 4, 0, 4, 0, 3, 3, 4, 3, 4, 2, 2, 3, 1, 1, 2, 1, 1, 4, 2, 4, 2, 4, 0, 4, 1, 3, 4, 4, 0, 1, 0, 2, 2, 3, 1, 1, 3, 3, 4, 2, 0, 1, 2, 0, 4, 3, 3, 2, 0, 2, 0, 1, 3, 4, 2, 1, 4, 0, 0, 0, 1, 1, 2, 0, 4, 3, 0, 4, 0, 2, 0, 3, 1, 3, 1, 3, 4, 3, 3, 1, 1, 0, 4, 1, 3, 2, 2, 3, 0, 4, 4, 2, 1, 0, 4, 2, 2, 1, 0, 0, 2, 4, 3, 4, 4, 1, 4, 0, 1, 4, 0, 1, 1, 4, 3, 1, 4, 2, 4, 2, 4, 0, 0, 1, 0, 4, 3, 4, 3, 3, 4, 4, 2, 1, 3, 3, 0, 0, 3, 3, 4, 3, 1, 2, 0, 3, 0, 3, 4, 1, 4, 2, 1, 3, 0, 1, 0, 4, 1, 4, 1, 3, 3, 2, 0, 0, 0, 2, 3, 0, 1, 1, 4, 2, 1, 0, 0, 1, 3, 0, 3, 3, 1, 1, 4, 4, 4, 0, 3, 3, 1, 4, 0, 0, 1, 2, 1, 2, 4, 0, 3, 0, 1, 2, 0, 3, 3, 0, 2, 2, 2, 3, 0, 2, 1, 4, 0, 1, 4, 3, 3, 4, 3, 2, 4, 3, 1, 4, 1, 4, 4, 3, 2, 0, 3, 2, 1, 4, 1, 4, 1, 4, 4, 3, 1, 2, 1, 4, 2, 2, 4, 2, 3, 0, 2, 3, 2, 4, 0, 4, 0, 3, 4, 4, 3, 2, 2, 2, 1, 2, 3, 2, 2, 3, 0, 2, 3, 1, 0, 3, 3, 4, 1, 1, 1, 4, 0, 1, 0, 1, 1, 3, 0, 1, 1, 4, 3, 1, 4, 0, 0, 2, 4, 1, 4, 2, 3, 4, 2, 0, 4, 0, 0, 1, 1, 3, 2, 2, 2, 1, 0, 3, 0, 4, 0, 2, 0, 3, 0, 2, 0, 0, 3, 4, 2, 3, 4, 4, 3, 4, 3, 4, 1, 2, 0, 1, 3, 0, 2, 1, 1, 3, 0, 1, 3, 4, 2, 0, 1, 4, 4, 2, 2, 0, 4, 4, 0, 0, 2, 0, 1, 4, 2, 2, 1, 0, 2, 1, 4, 1, 4, 4, 3, 0, 4, 1, 3, 0, 3, 0, 2, 1, 3, 3, 2, 1, 4, 3, 1, 1, 3, 2, 3, 3, 0, 0, 0, 0, 3, 3, 2, 3, 1, 0, 4, 4, 2, 2, 1, 4, 0, 1, 0, 2, 3, 0, 4, 3, 3, 0, 3, 0, 3, 4, 4, 3, 0, 3, 4, 0, 3, 3] pubkeycol1651 = [0, 4, 0, 4, 1, 2, 4, 0, 4, 1, 3, 2, 0, 0, 1, 0, 0, 4, 2, 0, 2, 4, 1, 3, 0, 2, 1, 0, 1, 2, 1, 3, 2, 0, 0, 4, 3, 0, 3, 1, 1, 1, 1, 0, 3, 3, 0, 4, 3, 0, 1, 0, 4, 2, 1, 4, 4, 2, 3, 1, 3, 3, 3, 1, 2, 2, 0, 4, 0, 3, 4, 4, 1, 0, 2, 4, 1, 4, 3, 0, 3, 0, 0, 2, 3, 4, 3, 3, 0, 3, 1, 3, 0, 1, 2, 0, 3, 4, 2, 4, 1, 4, 0, 4, 4, 1, 1, 2, 4, 1, 1, 4, 3, 2, 2, 1, 1, 2, 3, 0, 1, 0, 1, 4, 2, 0, 1, 1, 2, 2, 2, 4, 4, 2, 4, 2, 0, 1, 0, 0, 2, 1, 3, 3, 3, 3, 2, 0, 2, 2, 1, 2, 4, 3, 4, 2, 2, 0, 1, 2, 1, 0, 4, 2, 1, 2, 1, 2, 2, 3, 4, 3, 2, 4, 0, 3, 2, 2, 4, 2, 2, 2, 1, 4, 4, 4, 4, 3, 1, 1, 2, 4, 0, 0, 3, 4, 1, 3, 3, 1, 1, 1, 0, 3, 2, 1, 3, 3, 2, 2, 2, 0, 1, 0, 1, 0, 1, 3, 1, 1, 4, 0, 2, 0, 3, 4, 3, 0, 0, 4, 4, 0, 1, 1, 4, 0, 1, 3, 0, 0, 0, 0, 4, 4, 4, 0, 2, 0, 3, 2, 2, 4, 3, 4, 3, 3, 4, 0, 1, 3, 1, 4, 0, 4, 1, 2, 4, 4, 1, 3, 2, 1, 2, 0, 0, 4, 4, 2, 2, 0, 2, 2, 0, 0, 1, 4, 3, 3, 2, 4, 1, 4, 4, 4, 0, 2, 2, 3, 3, 2, 3, 3, 2, 3, 1, 4, 3, 0, 1, 0, 2, 2, 2, 4, 3, 3, 1, 1, 3, 0, 1, 0, 1, 3, 0, 3, 2, 3, 0, 2, 0, 2, 0, 2, 4, 3, 1, 2, 3, 0, 3, 4, 3, 0, 0, 0, 1, 3, 4, 4, 2, 1, 4, 0, 3, 3, 2, 3, 3, 1, 0, 0, 2, 4, 1, 2, 0, 0, 4, 0, 1, 1, 4, 3, 2, 2, 0, 1, 1, 1, 3, 3, 0, 4, 4, 4, 0, 3, 4, 3, 3, 4, 1, 4, 2, 2, 3, 2, 0, 3, 2, 2, 4, 2, 3, 1, 3, 0, 1, 0, 3, 2, 4, 0, 0, 2, 2, 1, 0, 4, 4, 3, 1, 1, 0, 4, 0, 1, 2, 0, 3, 3, 1, 2, 4, 0, 1, 4, 4, 4, 0, 3, 4, 0, 4, 1, 2, 4, 3, 3, 4, 2, 0, 3, 1, 1, 2, 2, 0, 0, 4, 4, 2, 0, 1, 3, 1, 1, 4, 1, 0, 4, 2, 4, 0, 3, 4, 1, 2, 3] pubkeycol1652 = [3, 0, 1, 3, 0, 4, 1, 1, 2, 0, 2, 2, 0, 0, 2, 3, 2, 0, 2, 2, 4, 1, 2, 0, 1, 2, 4, 0, 1, 4, 0, 2, 4, 3, 1, 0, 4, 1, 0, 1, 4, 2, 0, 2, 2, 4, 0, 1, 4, 2, 2, 1, 2, 1, 4, 4, 2, 2, 4, 3, 2, 0, 3, 1, 2, 0, 2, 1, 0, 3, 0, 1, 0, 0, 0, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 4, 2, 0, 1, 4, 0, 1, 2, 2, 3, 3, 2, 0, 1, 1, 4, 2, 3, 4, 3, 0, 3, 0, 1, 4, 4, 3, 3, 1, 0, 4, 4, 1, 0, 0, 3, 1, 2, 2, 1, 0, 0, 3, 3, 4, 2, 1, 1, 1, 2, 0, 3, 4, 3, 0, 1, 3, 2, 4, 4, 0, 3, 4, 3, 2, 1, 1, 3, 0, 0, 3, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 3, 4, 2, 3, 1, 2, 0, 4, 1, 3, 3, 2, 1, 1, 0, 4, 0, 2, 4, 2, 2, 3, 4, 2, 3, 3, 1, 3, 2, 2, 2, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 3, 1, 3, 1, 2, 1, 3, 0, 3, 1, 4, 4, 0, 1, 4, 1, 1, 3, 1, 4, 1, 3, 3, 0, 3, 4, 1, 4, 3, 1, 3, 1, 2, 2, 3, 4, 0, 0, 3, 3, 2, 2, 1, 4, 1, 2, 1, 1, 2, 1, 2, 2, 4, 1, 4, 0, 1, 4, 1, 1, 4, 1, 2, 0, 4, 1, 0, 0, 2, 4, 4, 2, 1, 1, 4, 3, 4, 3, 3, 0, 2, 1, 1, 1, 2, 0, 2, 0, 3, 4, 1, 2, 1, 4, 2, 1, 4, 0, 3, 2, 0, 4, 1, 2, 4, 4, 2, 3, 2, 1, 3, 3, 3, 4, 1, 3, 2, 0, 4, 1, 1, 4, 2, 2, 4, 2, 1, 1, 3, 2, 1, 2, 2, 3, 0, 1, 3, 3, 1, 3, 2, 3, 0, 2, 3, 3, 1, 2, 0, 3, 3, 3, 3, 4, 2, 2, 1, 1, 1, 3, 2, 3, 4, 0, 4, 1, 3, 4, 1, 3, 4, 2, 0, 3, 0, 4, 2, 0, 2, 4, 0, 1, 3, 4, 1, 3, 0, 2, 4, 1, 0, 2, 4, 2, 4, 2, 1, 3, 4, 0, 1, 2, 0, 4, 0, 4, 1, 1, 0, 4, 0, 1, 4, 3, 0, 3, 2, 1, 2, 0, 1, 0, 3, 0, 2, 3, 1, 2, 1, 0, 2, 1, 2, 1, 4, 4, 0, 0, 2, 0, 4, 3, 4, 4, 4, 0, 1, 4, 4, 4, 3, 2, 2, 0, 3, 1, 1, 1, 1, 2, 0, 2, 0, 0, 4, 4, 4, 1, 3, 1, 0] pubkeycol1653 = [3, 2, 2, 1, 2, 4, 2, 4, 0, 1, 0, 3, 1, 0, 2, 3, 3, 2, 1, 3, 1, 4, 4, 4, 0, 3, 0, 3, 2, 0, 2, 4, 3, 3, 1, 2, 1, 3, 2, 3, 0, 3, 1, 4, 2, 0, 0, 3, 2, 3, 1, 4, 1, 2, 0, 1, 0, 4, 0, 0, 1, 4, 0, 1, 3, 3, 0, 1, 0, 1, 3, 1, 0, 0, 2, 2, 3, 4, 1, 1, 4, 1, 0, 0, 0, 1, 2, 0, 4, 3, 1, 1, 1, 3, 1, 0, 2, 4, 1, 2, 2, 4, 3, 3, 2, 1, 1, 3, 0, 0, 0, 1, 4, 0, 4, 4, 3, 1, 2, 3, 2, 0, 1, 3, 3, 0, 4, 4, 0, 3, 2, 3, 0, 0, 2, 3, 2, 1, 1, 0, 1, 1, 1, 4, 0, 3, 4, 0, 1, 4, 0, 1, 2, 4, 3, 1, 3, 4, 0, 2, 1, 1, 3, 2, 2, 3, 4, 4, 3, 1, 0, 1, 4, 4, 3, 3, 3, 0, 4, 0, 3, 2, 1, 4, 3, 3, 4, 4, 3, 0, 2, 4, 4, 1, 3, 3, 0, 0, 0, 4, 3, 1, 2, 4, 4, 0, 0, 4, 4, 4, 3, 1, 0, 4, 0, 0, 2, 0, 3, 0, 2, 1, 0, 2, 4, 2, 3, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 3, 2, 4, 4, 1, 1, 3, 2, 1, 2, 3, 2, 4, 4, 4, 3, 2, 2, 4, 4, 1, 1, 3, 2, 4, 1, 2, 0, 4, 1, 2, 4, 4, 4, 2, 0, 1, 2, 2, 4, 3, 1, 3, 4, 2, 4, 0, 4, 3, 3, 4, 3, 0, 1, 4, 0, 0, 4, 1, 0, 2, 0, 4, 2, 4, 2, 2, 3, 0, 0, 0, 1, 3, 0, 0, 1, 1, 0, 2, 2, 2, 3, 2, 4, 3, 0, 2, 2, 3, 2, 1, 3, 4, 4, 1, 1, 0, 1, 0, 4, 0, 4, 0, 4, 3, 1, 0, 3, 3, 3, 4, 3, 4, 2, 1, 3, 0, 2, 0, 4, 4, 0, 4, 2, 4, 3, 0, 2, 0, 4, 3, 4, 4, 1, 0, 3, 1, 0, 2, 1, 0, 3, 0, 3, 4, 3, 0, 3, 0, 4, 0, 3, 2, 1, 3, 1, 0, 3, 2, 4, 0, 2, 0, 3, 1, 2, 2, 0, 4, 3, 1, 0, 2, 3, 4, 4, 2, 1, 2, 1, 4, 4, 1, 0, 1, 2, 3, 2, 2, 4, 3, 4, 0, 2, 3, 0, 1, 2, 4, 1, 4, 1, 0, 4, 3, 1, 0, 1, 3, 2, 1, 2, 4, 3, 0, 1, 3, 4, 4, 0, 1, 2, 2, 3, 1, 4, 2, 1, 2, 3, 3, 0, 1, 3, 2, 1, 0, 2, 0, 0] pubkeycol1654 = [1, 1, 3, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 4, 4, 2, 1, 0, 3, 0, 4, 3, 0, 2, 0, 1, 3, 3, 4, 2, 4, 4, 0, 2, 2, 1, 3, 2, 3, 4, 0, 0, 2, 4, 3, 0, 0, 4, 1, 3, 0, 3, 0, 0, 1, 4, 1, 2, 1, 4, 2, 1, 0, 2, 0, 3, 4, 0, 0, 3, 0, 2, 0, 0, 4, 1, 2, 1, 4, 4, 2, 3, 3, 4, 2, 3, 3, 3, 3, 2, 0, 0, 1, 0, 3, 4, 0, 0, 0, 1, 4, 0, 4, 2, 4, 3, 0, 2, 2, 0, 4, 1, 1, 2, 4, 3, 1, 1, 1, 4, 0, 1, 2, 0, 3, 4, 1, 4, 3, 2, 0, 3, 4, 1, 0, 3, 2, 0, 0, 0, 1, 1, 0, 1, 2, 3, 2, 3, 4, 3, 2, 3, 2, 3, 0, 0, 2, 1, 4, 2, 0, 4, 0, 4, 2, 0, 3, 2, 3, 0, 3, 2, 0, 4, 1, 4, 3, 1, 3, 0, 0, 0, 4, 2, 2, 1, 0, 4, 1, 3, 0, 1, 0, 0, 4, 3, 2, 3, 1, 3, 3, 4, 0, 0, 2, 3, 1, 0, 3, 3, 2, 0, 1, 4, 4, 2, 2, 3, 4, 3, 4, 4, 4, 4, 3, 4, 0, 0, 2, 3, 4, 2, 2, 3, 4, 4, 0, 4, 4, 0, 0, 0, 2, 4, 4, 1, 1, 4, 4, 4, 0, 2, 2, 3, 1, 1, 3, 2, 1, 1, 1, 1, 1, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 1, 4, 3, 3, 2, 0, 3, 0, 4, 1, 2, 2, 0, 3, 2, 1, 2, 3, 1, 0, 2, 3, 0, 4, 1, 2, 1, 2, 1, 4, 3, 3, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 4, 3, 1, 1, 3, 1, 3, 4, 0, 1, 4, 1, 2, 0, 3, 0, 2, 4, 3, 0, 2, 1, 4, 1, 0, 2, 3, 1, 2, 3, 4, 1, 1, 2, 3, 3, 4, 2, 3, 2, 2, 0, 0, 3, 3, 2, 2, 2, 4, 0, 2, 0, 1, 3, 4, 2, 2, 2, 4, 1, 0, 4, 0, 1, 0, 3, 0, 3, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 4, 4, 1, 4, 2, 3, 3, 1, 2, 0, 0, 1, 3, 0, 0, 4, 3, 1, 3, 0, 3, 0, 3, 0, 3, 1, 1, 1, 3, 3, 3, 4, 3, 2, 0, 4, 3, 1, 3, 1, 2, 4, 0, 0, 4, 1, 2, 1, 4, 0, 1, 4, 0, 2, 2, 3, 4, 2, 4, 3, 2, 3, 4, 1, 4, 3, 1, 2, 1, 1, 0, 3, 4, 2, 4, 1, 4, 1, 0, 1, 1, 2, 4, 4, 3, 2] pubkeycol1655 = [0, 3, 1, 2, 2, 1, 1, 1, 1, 0, 3, 1, 1, 1, 0, 0, 3, 2, 2, 2, 4, 4, 2, 1, 0, 3, 2, 2, 2, 4, 1, 2, 2, 0, 2, 4, 1, 2, 0, 1, 1, 2, 2, 0, 4, 0, 3, 0, 3, 2, 2, 0, 3, 0, 1, 2, 1, 3, 2, 1, 2, 1, 0, 2, 4, 4, 4, 1, 4, 2, 1, 0, 2, 4, 4, 3, 4, 4, 1, 2, 3, 0, 3, 4, 3, 4, 0, 3, 3, 4, 4, 1, 1, 4, 0, 4, 1, 1, 3, 4, 1, 0, 3, 2, 2, 3, 2, 4, 4, 2, 2, 1, 2, 3, 4, 1, 4, 4, 2, 4, 2, 1, 4, 0, 3, 1, 0, 0, 0, 3, 1, 1, 0, 4, 4, 4, 2, 2, 2, 3, 0, 2, 3, 4, 4, 1, 4, 2, 2, 2, 2, 4, 3, 2, 4, 4, 0, 2, 3, 0, 0, 0, 1, 0, 0, 2, 4, 0, 4, 3, 4, 3, 3, 1, 3, 1, 2, 1, 3, 2, 0, 3, 2, 4, 1, 1, 4, 4, 3, 1, 3, 2, 1, 0, 1, 4, 2, 4, 0, 3, 4, 4, 2, 0, 2, 1, 3, 0, 3, 0, 1, 4, 0, 0, 3, 3, 4, 2, 2, 2, 1, 0, 1, 3, 2, 0, 0, 1, 2, 0, 0, 0, 4, 2, 4, 0, 2, 0, 1, 3, 3, 4, 2, 4, 0, 1, 2, 1, 2, 3, 0, 3, 1, 2, 4, 3, 2, 4, 3, 4, 4, 3, 2, 3, 0, 0, 0, 2, 1, 2, 2, 3, 4, 2, 4, 4, 2, 2, 4, 3, 2, 3, 3, 0, 4, 1, 2, 3, 1, 3, 2, 2, 2, 2, 2, 0, 4, 0, 2, 2, 0, 2, 0, 1, 3, 3, 1, 1, 0, 2, 3, 1, 4, 0, 1, 4, 1, 0, 3, 0, 1, 1, 1, 0, 3, 1, 2, 1, 0, 1, 4, 0, 3, 3, 4, 1, 3, 3, 4, 3, 1, 1, 3, 1, 2, 0, 2, 0, 0, 2, 1, 4, 2, 1, 4, 0, 2, 2, 2, 4, 0, 0, 1, 3, 0, 0, 2, 3, 3, 4, 3, 1, 4, 2, 4, 2, 2, 0, 0, 4, 3, 1, 2, 1, 1, 0, 2, 0, 2, 3, 1, 2, 1, 0, 4, 3, 4, 4, 1, 0, 0, 4, 3, 0, 1, 1, 2, 0, 1, 2, 1, 3, 2, 0, 0, 4, 3, 2, 4, 3, 0, 4, 4, 4, 0, 1, 0, 2, 3, 3, 2, 4, 1, 0, 0, 3, 2, 0, 0, 2, 3, 0, 4, 3, 1, 0, 3, 4, 1, 4, 0, 1, 2, 0, 3, 4, 3, 1, 3, 0, 3, 4, 4, 0, 4, 2, 4, 4, 0, 1, 3, 4, 2, 4, 3, 2, 3, 2, 0, 3] pubkeycol1656 = [0, 4, 4, 4, 2, 1, 0, 1, 0, 2, 1, 3, 2, 2, 3, 0, 4, 4, 3, 0, 1, 2, 1, 2, 0, 2, 4, 2, 0, 1, 4, 3, 1, 2, 1, 1, 0, 1, 4, 4, 4, 2, 2, 3, 2, 3, 0, 3, 4, 3, 2, 3, 3, 4, 4, 3, 3, 1, 1, 1, 1, 0, 0, 1, 4, 1, 2, 1, 4, 2, 2, 3, 4, 2, 4, 3, 2, 4, 0, 2, 3, 1, 4, 1, 2, 4, 4, 0, 4, 2, 0, 4, 2, 2, 3, 2, 2, 4, 3, 3, 1, 2, 3, 4, 0, 4, 3, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 3, 3, 3, 1, 2, 1, 0, 3, 2, 1, 4, 0, 1, 2, 1, 4, 2, 2, 1, 0, 4, 4, 2, 1, 4, 4, 1, 1, 0, 0, 3, 3, 4, 1, 4, 4, 1, 0, 4, 0, 3, 1, 2, 4, 3, 2, 1, 1, 1, 0, 3, 0, 1, 2, 4, 2, 1, 4, 0, 2, 3, 4, 1, 0, 0, 4, 4, 0, 2, 3, 4, 2, 2, 3, 0, 2, 1, 3, 3, 3, 1, 3, 3, 2, 0, 1, 1, 2, 2, 2, 2, 4, 4, 1, 0, 3, 4, 1, 2, 0, 4, 2, 4, 4, 0, 2, 4, 0, 1, 1, 2, 3, 4, 2, 3, 4, 0, 3, 2, 4, 3, 1, 0, 1, 4, 1, 0, 2, 4, 0, 3, 4, 1, 3, 0, 2, 2, 0, 0, 1, 1, 0, 4, 4, 2, 2, 1, 1, 1, 0, 0, 3, 0, 2, 2, 3, 0, 0, 4, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 4, 2, 3, 2, 0, 3, 3, 3, 2, 3, 1, 3, 0, 2, 1, 3, 0, 2, 4, 2, 1, 3, 4, 3, 1, 0, 2, 3, 0, 2, 3, 4, 4, 4, 2, 1, 0, 1, 4, 1, 3, 2, 2, 4, 0, 3, 0, 0, 3, 1, 0, 2, 2, 3, 1, 0, 4, 0, 4, 0, 3, 2, 3, 4, 1, 3, 2, 3, 0, 0, 3, 1, 2, 1, 3, 3, 4, 0, 4, 0, 3, 2, 0, 2, 3, 2, 4, 4, 1, 1, 0, 3, 4, 3, 3, 4, 4, 4, 2, 0, 0, 2, 3, 0, 1, 4, 1, 4, 2, 3, 0, 4, 3, 0, 1, 1, 0, 0, 2, 0, 4, 0, 3, 2, 1, 1, 1, 2, 1, 3, 3, 3, 2, 0, 4, 4, 1, 4, 1, 0, 3, 0, 0, 0, 3, 1, 2, 0, 1, 4, 3, 0, 4, 4, 3, 0, 3, 0, 2, 3, 0, 4, 0, 2, 3, 1, 1, 4, 2, 2, 1, 2, 3, 1, 3, 2, 3, 4, 0, 0, 3, 3, 3, 0, 4, 1, 3, 1, 0, 2, 4, 1, 4] pubkeycol1657 = [0, 4, 4, 0, 0, 1, 3, 3, 1, 1, 1, 0, 2, 1, 4, 4, 4, 4, 1, 0, 1, 1, 4, 2, 1, 2, 1, 2, 1, 3, 2, 4, 2, 1, 4, 3, 4, 4, 0, 4, 3, 1, 1, 1, 4, 2, 0, 1, 2, 1, 3, 0, 3, 4, 4, 2, 4, 2, 1, 3, 1, 3, 2, 2, 0, 0, 4, 2, 2, 4, 3, 2, 3, 4, 3, 4, 1, 2, 4, 0, 4, 2, 3, 0, 0, 2, 1, 0, 0, 2, 3, 0, 0, 3, 3, 4, 2, 0, 2, 0, 1, 4, 1, 0, 2, 4, 4, 4, 4, 1, 3, 2, 1, 2, 1, 1, 4, 4, 4, 0, 1, 3, 4, 2, 4, 3, 0, 0, 4, 1, 4, 4, 1, 0, 1, 4, 4, 2, 4, 3, 2, 3, 1, 1, 3, 1, 4, 1, 0, 2, 1, 3, 0, 0, 0, 4, 4, 1, 2, 3, 1, 1, 2, 0, 4, 1, 1, 0, 3, 2, 4, 3, 0, 3, 4, 1, 4, 4, 4, 2, 4, 4, 3, 4, 0, 0, 2, 3, 2, 1, 2, 2, 0, 0, 2, 4, 1, 3, 0, 2, 4, 0, 1, 3, 2, 1, 0, 3, 0, 3, 3, 2, 3, 4, 2, 4, 2, 2, 0, 2, 2, 4, 4, 2, 1, 3, 4, 2, 0, 2, 2, 2, 2, 4, 4, 4, 3, 0, 4, 0, 3, 4, 0, 2, 2, 3, 1, 3, 0, 2, 4, 4, 3, 0, 0, 3, 0, 4, 0, 0, 2, 3, 3, 0, 4, 2, 2, 2, 1, 4, 1, 2, 0, 3, 3, 4, 0, 4, 4, 1, 1, 3, 2, 1, 2, 4, 3, 0, 2, 0, 1, 2, 0, 0, 0, 4, 2, 4, 2, 4, 0, 4, 3, 0, 2, 3, 3, 2, 3, 0, 1, 2, 1, 0, 0, 4, 1, 2, 1, 1, 3, 0, 3, 2, 2, 0, 2, 0, 2, 2, 4, 4, 1, 4, 3, 1, 0, 3, 0, 2, 0, 2, 0, 0, 0, 2, 4, 2, 3, 2, 0, 1, 3, 3, 0, 0, 4, 4, 3, 0, 0, 2, 1, 1, 0, 0, 4, 3, 1, 0, 4, 4, 4, 1, 4, 2, 0, 4, 0, 0, 2, 1, 1, 3, 1, 4, 3, 4, 4, 1, 2, 3, 2, 0, 3, 1, 3, 4, 2, 0, 3, 2, 4, 4, 2, 3, 1, 1, 0, 1, 2, 3, 3, 2, 3, 1, 1, 1, 2, 2, 3, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 4, 1, 4, 0, 2, 4, 3, 4, 2, 4, 4, 4, 4, 4, 2, 2, 3, 0, 2, 2, 1, 0, 2, 2, 4, 0, 4, 2, 0, 1, 2, 3, 2, 1, 3, 3, 2, 2, 3, 1, 1, 1, 0, 0, 3, 1, 4, 2] pubkeycol1658 = [1, 1, 4, 0, 4, 4, 1, 1, 2, 3, 4, 2, 2, 3, 1, 0, 3, 1, 0, 4, 2, 4, 4, 2, 1, 3, 2, 1, 1, 3, 1, 3, 0, 4, 0, 4, 4, 1, 0, 0, 0, 3, 1, 4, 4, 4, 4, 2, 0, 3, 1, 0, 4, 0, 1, 0, 3, 4, 1, 1, 0, 2, 4, 4, 3, 0, 2, 2, 1, 1, 4, 1, 3, 0, 4, 1, 4, 4, 2, 0, 4, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 4, 3, 2, 2, 4, 3, 0, 1, 2, 0, 0, 1, 2, 1, 1, 4, 0, 1, 1, 2, 0, 4, 0, 2, 0, 2, 3, 4, 2, 4, 2, 4, 2, 4, 3, 0, 4, 4, 3, 0, 3, 4, 4, 4, 3, 3, 1, 3, 2, 1, 1, 3, 2, 0, 1, 1, 3, 2, 3, 0, 1, 0, 1, 4, 4, 0, 2, 3, 2, 2, 1, 3, 0, 3, 4, 0, 2, 2, 2, 3, 0, 2, 1, 0, 4, 2, 3, 0, 0, 2, 2, 0, 3, 4, 0, 1, 1, 0, 2, 3, 2, 1, 4, 0, 1, 2, 4, 4, 3, 3, 0, 1, 1, 0, 3, 2, 4, 1, 3, 4, 2, 1, 0, 1, 2, 2, 3, 3, 1, 0, 2, 1, 2, 0, 1, 1, 0, 3, 4, 4, 0, 3, 1, 0, 2, 2, 1, 4, 0, 1, 3, 4, 0, 3, 0, 0, 4, 4, 4, 2, 2, 4, 1, 3, 3, 4, 3, 4, 0, 0, 4, 0, 1, 1, 1, 2, 0, 2, 4, 0, 0, 2, 0, 4, 4, 2, 2, 1, 1, 2, 2, 2, 1, 3, 1, 2, 4, 2, 4, 4, 1, 0, 0, 4, 0, 0, 2, 2, 2, 4, 4, 1, 3, 4, 0, 3, 2, 0, 2, 3, 0, 4, 1, 3, 4, 3, 2, 1, 1, 0, 2, 2, 3, 3, 3, 0, 4, 2, 0, 1, 0, 0, 0, 1, 4, 0, 4, 3, 4, 1, 1, 1, 3, 0, 1, 4, 0, 3, 3, 2, 4, 2, 2, 3, 3, 0, 1, 1, 2, 1, 3, 4, 4, 0, 1, 4, 0, 1, 1, 1, 3, 4, 3, 1, 0, 2, 0, 2, 4, 2, 4, 0, 4, 4, 1, 3, 4, 3, 4, 3, 1, 2, 3, 1, 2, 0, 3, 0, 0, 4, 4, 1, 1, 2, 3, 4, 3, 4, 3, 2, 0, 0, 3, 0, 3, 2, 0, 1, 3, 2, 2, 3, 2, 3, 0, 1, 0, 0, 2, 2, 0, 3, 1, 3, 1, 0, 1, 2, 0, 0, 3, 2, 0, 1, 1, 2, 2, 1, 3, 1, 4, 2, 4, 0, 0, 0, 4, 2, 1, 2, 4, 3, 2, 2, 4, 1, 2, 2, 3, 0, 4, 3, 0, 2, 4, 2, 4, 3, 2] pubkeycol1659 = [1, 2, 3, 0, 3, 4, 0, 2, 0, 4, 4, 2, 4, 3, 4, 1, 1, 1, 2, 1, 1, 3, 1, 4, 1, 4, 4, 1, 4, 1, 4, 0, 4, 2, 1, 3, 1, 2, 4, 3, 1, 0, 4, 4, 3, 3, 3, 0, 2, 1, 0, 0, 0, 1, 0, 3, 0, 2, 4, 1, 4, 2, 2, 4, 2, 0, 0, 4, 0, 2, 4, 0, 3, 2, 3, 0, 4, 0, 4, 1, 0, 4, 2, 1, 1, 1, 0, 0, 2, 4, 4, 0, 2, 3, 0, 1, 3, 1, 1, 3, 1, 3, 0, 1, 3, 2, 4, 4, 4, 0, 0, 2, 4, 3, 0, 3, 3, 0, 3, 2, 0, 0, 2, 2, 1, 3, 2, 3, 3, 1, 0, 3, 4, 1, 4, 2, 3, 2, 4, 2, 4, 4, 4, 0, 3, 1, 1, 0, 0, 0, 1, 4, 0, 2, 2, 1, 3, 2, 4, 0, 4, 2, 2, 3, 2, 0, 0, 0, 2, 3, 0, 0, 1, 4, 4, 3, 4, 1, 3, 1, 2, 2, 0, 3, 4, 2, 3, 3, 2, 3, 0, 2, 0, 3, 2, 3, 1, 1, 2, 0, 1, 1, 0, 4, 2, 0, 0, 4, 1, 2, 0, 3, 4, 0, 3, 2, 4, 2, 1, 1, 0, 1, 0, 1, 1, 4, 2, 1, 4, 3, 2, 4, 0, 1, 1, 2, 2, 4, 1, 3, 2, 3, 4, 0, 4, 1, 4, 4, 3, 0, 0, 2, 4, 0, 2, 2, 1, 2, 0, 0, 2, 3, 3, 0, 4, 3, 0, 1, 4, 3, 4, 2, 3, 3, 2, 4, 1, 3, 1, 0, 4, 2, 0, 2, 1, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 3, 2, 4, 1, 2, 3, 3, 1, 1, 2, 4, 4, 0, 3, 3, 0, 1, 3, 1, 4, 1, 0, 2, 1, 1, 3, 3, 0, 4, 2, 0, 0, 1, 4, 1, 0, 2, 2, 4, 2, 1, 1, 4, 2, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 0, 4, 4, 1, 4, 4, 1, 1, 3, 3, 0, 1, 3, 0, 1, 0, 0, 1, 1, 0, 4, 2, 1, 2, 3, 0, 1, 3, 3, 4, 0, 1, 4, 3, 3, 1, 4, 1, 3, 3, 3, 3, 3, 2, 4, 3, 3, 4, 2, 1, 2, 1, 3, 2, 2, 4, 1, 1, 3, 3, 2, 1, 1, 3, 4, 1, 0, 2, 0, 2, 2, 1, 0, 4, 3, 3, 4, 2, 0, 3, 2, 3, 2, 4, 1, 1, 1, 3, 2, 4, 1, 3, 4, 3, 2, 4, 3, 2, 2, 1, 0, 4, 4, 1, 0, 2, 1, 2, 1, 3, 4, 4, 0, 3, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol1660 = [3, 1, 3, 1, 2, 1, 1, 1, 2, 1, 3, 3, 4, 4, 2, 4, 2, 4, 3, 1, 0, 1, 3, 4, 1, 1, 2, 2, 3, 4, 4, 0, 3, 2, 4, 0, 4, 2, 4, 1, 0, 0, 0, 0, 2, 4, 3, 0, 4, 2, 3, 0, 0, 3, 0, 3, 2, 3, 3, 2, 3, 2, 4, 2, 3, 0, 1, 3, 4, 1, 0, 1, 2, 1, 3, 4, 3, 2, 4, 2, 2, 1, 3, 1, 2, 3, 1, 3, 2, 3, 4, 4, 4, 4, 1, 1, 2, 4, 1, 4, 2, 1, 3, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 3, 3, 3, 1, 1, 1, 4, 4, 3, 2, 0, 0, 0, 4, 0, 0, 4, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 0, 4, 4, 0, 0, 3, 4, 0, 0, 3, 3, 0, 4, 3, 2, 4, 0, 4, 3, 3, 2, 2, 1, 3, 1, 4, 3, 2, 4, 4, 0, 3, 0, 4, 1, 3, 4, 2, 3, 0, 3, 3, 3, 1, 3, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 4, 0, 0, 1, 1, 2, 2, 2, 4, 2, 2, 1, 3, 1, 4, 4, 1, 0, 4, 1, 2, 3, 2, 1, 0, 2, 0, 4, 2, 4, 0, 0, 1, 4, 3, 2, 4, 2, 3, 3, 0, 0, 0, 4, 3, 4, 3, 3, 4, 3, 3, 4, 0, 1, 2, 4, 3, 0, 2, 3, 1, 1, 3, 0, 4, 2, 3, 2, 4, 3, 1, 2, 1, 0, 4, 0, 3, 3, 3, 1, 4, 2, 2, 0, 3, 0, 4, 0, 4, 2, 1, 4, 0, 1, 4, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 4, 4, 0, 4, 3, 3, 4, 1, 4, 2, 0, 1, 2, 4, 1, 0, 4, 4, 4, 0, 1, 3, 0, 2, 1, 0, 1, 4, 4, 2, 0, 0, 1, 2, 4, 1, 2, 1, 2, 1, 2, 1, 3, 4, 4, 0, 4, 0, 3, 3, 2, 2, 4, 2, 1, 2, 4, 3, 3, 2, 3, 3, 4, 4, 0, 1, 1, 2, 3, 4, 0, 2, 3, 4, 2, 1, 3, 2, 4, 1, 4, 2, 4, 3, 3, 3, 4, 0, 1, 4, 4, 4, 2, 4, 3, 0, 3, 0, 1, 0, 2, 2, 3, 1, 3, 3, 1, 3, 3, 2, 4, 2, 2, 0, 1, 1, 0, 4, 0, 4, 2, 1, 0, 3, 1, 1, 4, 3, 4, 1, 0, 4, 4, 0, 3, 3, 0, 3, 4, 0, 4, 0, 0, 3, 0, 3, 2, 4, 0, 2, 2, 1, 1, 3, 0, 1, 4, 2, 1, 2, 0, 3, 2, 1, 1, 4, 4, 3, 3, 4, 0, 2, 0, 4, 4, 0, 3, 2] pubkeycol1661 = [1, 2, 3, 3, 0, 0, 4, 1, 0, 1, 2, 3, 3, 4, 1, 1, 4, 4, 3, 0, 3, 4, 4, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 3, 4, 0, 1, 4, 3, 4, 1, 2, 1, 3, 3, 1, 4, 1, 4, 1, 4, 3, 2, 1, 1, 4, 1, 3, 3, 2, 0, 0, 1, 3, 2, 3, 4, 4, 0, 2, 3, 2, 4, 2, 4, 0, 4, 3, 1, 3, 2, 1, 2, 0, 4, 2, 2, 4, 2, 2, 0, 2, 1, 3, 3, 3, 4, 1, 2, 0, 1, 3, 1, 2, 0, 1, 2, 3, 0, 1, 0, 4, 1, 1, 2, 1, 0, 0, 1, 3, 2, 2, 3, 4, 0, 4, 0, 4, 4, 0, 4, 1, 2, 0, 3, 4, 3, 0, 3, 2, 4, 0, 3, 0, 4, 1, 4, 1, 4, 0, 2, 2, 4, 3, 1, 3, 4, 1, 1, 0, 1, 3, 3, 2, 1, 4, 3, 2, 1, 0, 2, 0, 0, 3, 2, 3, 1, 0, 0, 0, 4, 0, 4, 4, 2, 0, 3, 3, 4, 2, 1, 3, 1, 4, 1, 3, 0, 3, 4, 3, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 3, 3, 0, 4, 0, 3, 4, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 4, 4, 1, 3, 2, 3, 2, 1, 1, 3, 1, 3, 0, 0, 1, 2, 3, 0, 4, 0, 1, 4, 1, 3, 4, 0, 1, 2, 4, 4, 0, 2, 4, 3, 0, 4, 1, 2, 3, 2, 4, 0, 1, 2, 1, 3, 0, 1, 2, 3, 4, 3, 0, 2, 3, 4, 4, 0, 3, 4, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 2, 1, 0, 0, 4, 4, 4, 4, 3, 3, 4, 2, 3, 0, 1, 1, 4, 1, 2, 3, 0, 3, 1, 4, 4, 0, 4, 0, 1, 4, 1, 2, 0, 2, 1, 4, 4, 2, 1, 1, 3, 1, 1, 3, 1, 0, 0, 0, 3, 4, 0, 3, 4, 4, 0, 2, 4, 1, 3, 3, 0, 1, 4, 3, 1, 1, 1, 0, 0, 3, 3, 4, 2, 2, 3, 3, 2, 1, 3, 1, 1, 2, 3, 1, 3, 2, 3, 0, 3, 4, 4, 2, 0, 3, 1, 2, 3, 2, 3, 2, 1, 4, 0, 4, 2, 1, 0, 1, 4, 1, 3, 2, 0, 4, 2, 2, 1, 0, 4, 2, 3, 4, 4, 4, 3, 1, 0, 3, 4, 4, 0, 0, 4, 2, 3, 0, 0, 3, 3, 2, 1, 4, 3, 4, 0, 4, 3, 1, 4, 2, 3, 1, 0, 1, 0, 2, 0, 0, 2, 3, 1, 3, 4, 3, 0, 4, 0] pubkeycol1662 = [4, 2, 1, 1, 3, 3, 1, 3, 4, 0, 4, 4, 4, 4, 1, 4, 1, 3, 1, 3, 3, 0, 2, 1, 0, 1, 1, 0, 3, 3, 2, 1, 0, 1, 4, 3, 0, 3, 3, 2, 2, 1, 3, 4, 1, 1, 2, 3, 0, 4, 4, 3, 1, 2, 2, 4, 2, 3, 3, 3, 0, 1, 3, 2, 0, 2, 3, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 4, 0, 2, 1, 0, 4, 1, 4, 1, 2, 4, 1, 4, 1, 3, 0, 0, 4, 1, 0, 4, 3, 3, 1, 0, 1, 4, 1, 4, 2, 4, 1, 4, 4, 3, 3, 4, 1, 4, 1, 3, 1, 3, 2, 4, 1, 2, 0, 1, 3, 0, 0, 0, 0, 4, 3, 3, 2, 0, 1, 2, 3, 4, 0, 2, 2, 2, 1, 0, 0, 3, 4, 4, 0, 4, 1, 0, 1, 3, 4, 0, 3, 0, 1, 4, 0, 0, 2, 3, 1, 4, 0, 4, 4, 3, 0, 3, 3, 1, 3, 4, 2, 3, 0, 4, 2, 4, 3, 0, 2, 4, 1, 4, 4, 0, 2, 0, 4, 3, 1, 0, 3, 3, 1, 0, 4, 4, 3, 1, 3, 1, 4, 1, 1, 4, 0, 1, 4, 2, 3, 3, 0, 0, 1, 1, 2, 4, 1, 2, 2, 3, 0, 2, 1, 3, 0, 2, 4, 2, 0, 1, 2, 4, 0, 0, 4, 0, 4, 3, 4, 0, 2, 4, 4, 0, 1, 0, 1, 2, 4, 0, 3, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 3, 0, 0, 1, 2, 0, 2, 1, 3, 2, 0, 2, 0, 1, 0, 3, 2, 1, 0, 2, 3, 4, 2, 0, 2, 0, 1, 4, 2, 0, 2, 4, 1, 0, 0, 1, 0, 1, 4, 2, 4, 1, 0, 4, 4, 3, 3, 4, 4, 2, 1, 1, 0, 2, 2, 3, 2, 2, 0, 1, 3, 4, 4, 2, 1, 0, 0, 4, 4, 1, 2, 2, 3, 0, 4, 4, 2, 0, 3, 3, 0, 4, 1, 2, 3, 0, 2, 3, 1, 0, 1, 2, 2, 2, 0, 0, 1, 4, 4, 0, 3, 2, 4, 2, 0, 3, 4, 4, 3, 3, 1, 3, 0, 0, 3, 0, 4, 2, 1, 1, 4, 3, 4, 1, 2, 0, 0, 1, 0, 3, 1, 3, 4, 3, 4, 4, 0, 0, 2, 1, 1, 1, 1, 3, 3, 4, 2, 0, 1, 1, 1, 4, 0, 2, 1, 2, 4, 1, 2, 1, 3, 4, 2, 4, 3, 0, 4, 3, 1, 0, 2, 4, 3, 0, 1, 4, 1, 2, 4, 1, 1, 0, 4, 0, 2, 4, 0, 3, 0, 3, 2, 0, 2, 4, 3, 0, 3, 2, 2, 3, 0, 0, 2, 1, 0, 3, 1, 4, 4] pubkeycol1663 = [2, 2, 4, 3, 2, 3, 2, 1, 4, 0, 1, 0, 4, 2, 3, 2, 4, 1, 2, 0, 4, 1, 0, 4, 4, 0, 4, 3, 0, 0, 0, 4, 0, 1, 1, 4, 4, 1, 4, 2, 2, 3, 2, 0, 1, 1, 0, 2, 3, 1, 3, 1, 0, 0, 4, 3, 4, 0, 1, 0, 4, 1, 4, 1, 3, 4, 1, 0, 0, 3, 1, 0, 3, 4, 0, 2, 4, 1, 4, 4, 0, 1, 4, 0, 0, 3, 3, 2, 4, 4, 4, 3, 3, 2, 3, 3, 2, 3, 2, 4, 2, 2, 2, 4, 1, 3, 4, 4, 4, 0, 0, 4, 3, 2, 3, 4, 3, 1, 2, 1, 3, 3, 0, 3, 3, 2, 0, 2, 2, 1, 4, 0, 1, 1, 3, 4, 4, 0, 0, 2, 1, 1, 4, 1, 4, 1, 4, 4, 4, 1, 4, 0, 1, 4, 1, 3, 4, 0, 0, 1, 3, 2, 4, 1, 2, 1, 2, 3, 3, 2, 4, 3, 4, 4, 0, 2, 3, 0, 0, 3, 0, 2, 4, 1, 0, 0, 4, 3, 1, 3, 1, 0, 1, 3, 3, 0, 4, 3, 1, 2, 4, 4, 0, 4, 4, 1, 1, 1, 3, 1, 3, 0, 0, 0, 4, 0, 4, 3, 2, 1, 0, 1, 1, 2, 0, 2, 3, 3, 2, 3, 4, 3, 3, 4, 0, 2, 1, 2, 2, 3, 1, 4, 1, 3, 2, 1, 2, 4, 4, 4, 4, 2, 3, 4, 3, 1, 0, 1, 1, 1, 0, 1, 3, 4, 0, 1, 4, 2, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 1, 3, 1, 3, 2, 3, 0, 2, 4, 4, 3, 4, 3, 0, 3, 3, 2, 4, 2, 2, 1, 1, 2, 1, 4, 0, 0, 2, 4, 1, 3, 1, 4, 3, 3, 2, 2, 1, 4, 0, 1, 1, 3, 3, 3, 0, 3, 1, 1, 4, 0, 2, 3, 1, 2, 1, 0, 1, 4, 0, 4, 3, 3, 2, 3, 1, 1, 4, 2, 1, 1, 2, 3, 2, 4, 0, 2, 2, 2, 1, 2, 2, 4, 4, 2, 4, 4, 1, 4, 4, 2, 3, 2, 2, 2, 4, 4, 1, 3, 1, 1, 1, 0, 1, 3, 2, 3, 0, 1, 4, 0, 4, 2, 0, 4, 2, 3, 2, 4, 3, 1, 3, 1, 0, 4, 2, 4, 3, 2, 3, 1, 3, 4, 3, 4, 3, 3, 2, 2, 0, 3, 4, 0, 2, 4, 0, 0, 2, 1, 3, 2, 0, 3, 3, 4, 2, 2, 2, 1, 2, 1, 4, 2, 2, 4, 0, 1, 4, 4, 3, 0, 2, 3, 3, 1, 0, 2, 4, 3, 3, 4, 4, 2, 3, 0, 4, 4, 2, 1, 2, 2, 0, 0, 3, 1, 1, 4, 3, 4, 3, 1] pubkeycol1664 = [2, 3, 4, 3, 1, 3, 0, 1, 3, 4, 2, 4, 0, 3, 0, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 4, 3, 2, 0, 2, 1, 1, 2, 4, 1, 4, 1, 2, 1, 3, 3, 1, 4, 4, 3, 3, 0, 0, 4, 0, 1, 2, 4, 2, 1, 1, 4, 4, 1, 2, 4, 2, 4, 0, 2, 1, 2, 4, 3, 0, 2, 0, 1, 4, 3, 3, 1, 2, 0, 0, 1, 4, 3, 3, 2, 2, 0, 3, 4, 2, 3, 4, 1, 3, 2, 4, 1, 4, 3, 1, 3, 0, 4, 0, 1, 1, 0, 0, 0, 3, 4, 0, 4, 3, 0, 0, 3, 0, 1, 3, 4, 2, 4, 1, 0, 1, 1, 0, 3, 2, 2, 2, 3, 0, 2, 2, 2, 0, 1, 0, 1, 0, 4, 3, 1, 3, 2, 4, 0, 3, 1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 0, 4, 3, 0, 3, 4, 0, 1, 4, 2, 3, 1, 1, 3, 0, 1, 1, 2, 4, 1, 4, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 4, 0, 0, 4, 0, 1, 0, 0, 4, 1, 1, 3, 2, 3, 3, 0, 0, 1, 0, 4, 4, 2, 4, 0, 4, 4, 4, 0, 2, 2, 2, 4, 3, 0, 1, 1, 0, 1, 4, 1, 4, 3, 1, 4, 2, 0, 2, 3, 4, 0, 3, 4, 4, 0, 2, 0, 2, 4, 3, 0, 2, 4, 1, 0, 1, 4, 4, 4, 0, 4, 2, 1, 3, 2, 4, 4, 4, 3, 4, 4, 3, 1, 0, 4, 2, 0, 3, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 4, 4, 4, 0, 0, 4, 3, 0, 3, 2, 1, 0, 1, 2, 1, 1, 1, 4, 0, 1, 3, 2, 3, 3, 1, 0, 1, 4, 4, 1, 3, 4, 4, 2, 2, 4, 0, 0, 2, 0, 3, 0, 1, 1, 3, 3, 0, 4, 0, 3, 0, 0, 1, 3, 3, 1, 0, 4, 4, 0, 1, 4, 1, 3, 4, 3, 0, 3, 2, 3, 3, 0, 4, 1, 2, 2, 1, 1, 1, 0, 0, 2, 3, 3, 1, 3, 2, 1, 2, 1, 2, 4, 1, 1, 2, 0, 3, 1, 3, 1, 3, 1, 2, 4, 4, 4, 3, 4, 2, 4, 4, 3, 3, 3, 2, 2, 0, 4, 0, 3, 2, 1, 1, 1, 0, 3, 0, 2, 3, 4, 4, 0, 3, 3, 2, 3, 3, 2, 4, 2, 2, 1, 0, 0, 2, 0, 0, 0, 3, 3, 1, 1, 1, 4, 3, 2, 0, 4, 2, 3, 0, 0, 2, 4, 1, 4, 3, 4, 3, 0, 0, 2, 4, 2, 3, 3, 0, 1, 1, 4, 1, 2] pubkeycol1665 = [1, 4, 3, 3, 4, 4, 0, 1, 1, 3, 2, 1, 1, 4, 2, 1, 4, 1, 0, 3, 3, 0, 2, 2, 2, 0, 4, 0, 0, 2, 0, 0, 0, 1, 3, 2, 1, 3, 0, 2, 1, 1, 2, 1, 0, 4, 4, 3, 2, 1, 4, 3, 1, 3, 2, 3, 3, 1, 0, 4, 1, 2, 0, 3, 2, 3, 3, 2, 0, 4, 4, 2, 0, 2, 0, 2, 3, 4, 2, 3, 0, 3, 4, 0, 3, 0, 0, 3, 4, 3, 1, 4, 2, 2, 4, 4, 2, 2, 2, 0, 3, 0, 0, 4, 0, 1, 3, 3, 0, 0, 2, 2, 0, 0, 3, 4, 3, 0, 2, 0, 0, 1, 3, 1, 4, 2, 1, 1, 3, 3, 4, 0, 3, 4, 3, 0, 1, 1, 0, 3, 4, 1, 4, 2, 1, 1, 0, 0, 1, 3, 0, 4, 1, 3, 1, 0, 0, 2, 0, 2, 3, 1, 3, 3, 4, 3, 3, 3, 0, 3, 0, 0, 1, 1, 0, 3, 2, 1, 2, 2, 3, 0, 1, 3, 4, 1, 2, 3, 3, 1, 4, 0, 4, 0, 3, 3, 4, 1, 1, 2, 4, 1, 1, 4, 3, 2, 3, 3, 4, 4, 0, 2, 2, 4, 1, 1, 1, 3, 4, 1, 4, 4, 3, 1, 3, 1, 1, 0, 2, 2, 1, 0, 3, 2, 3, 3, 2, 0, 0, 3, 2, 4, 0, 1, 3, 2, 4, 1, 0, 0, 1, 1, 1, 0, 2, 3, 4, 0, 3, 0, 0, 3, 0, 2, 4, 0, 0, 2, 4, 4, 0, 3, 1, 1, 4, 2, 1, 3, 4, 3, 0, 2, 4, 4, 3, 4, 1, 0, 3, 1, 4, 3, 1, 4, 4, 1, 2, 3, 3, 0, 2, 2, 1, 2, 4, 2, 1, 2, 2, 1, 4, 2, 4, 4, 0, 1, 0, 4, 2, 1, 3, 2, 2, 0, 3, 1, 4, 1, 1, 4, 1, 1, 0, 4, 3, 1, 3, 1, 2, 1, 1, 2, 0, 4, 4, 0, 1, 0, 3, 4, 3, 1, 4, 3, 3, 4, 4, 0, 1, 4, 1, 1, 2, 2, 4, 0, 4, 3, 2, 3, 1, 4, 0, 2, 2, 0, 0, 1, 3, 2, 3, 2, 4, 1, 4, 1, 1, 1, 2, 2, 1, 0, 3, 0, 4, 3, 0, 4, 1, 2, 3, 1, 2, 0, 4, 3, 1, 4, 3, 1, 3, 1, 3, 3, 0, 2, 3, 4, 4, 0, 3, 1, 2, 4, 1, 3, 3, 0, 1, 2, 2, 3, 1, 4, 0, 0, 0, 4, 3, 0, 0, 1, 3, 0, 1, 3, 0, 3, 0, 1, 4, 4, 2, 4, 3, 2, 4, 1, 1, 1, 3, 4, 4, 2, 0, 2, 4, 4, 2, 4, 2, 0, 4, 1, 1, 0, 2, 4, 1, 1] pubkeycol1666 = [0, 1, 4, 4, 4, 0, 1, 2, 0, 1, 1, 0, 2, 4, 1, 0, 1, 4, 0, 3, 0, 0, 3, 0, 1, 2, 1, 2, 4, 3, 2, 3, 0, 4, 1, 3, 3, 2, 3, 0, 2, 3, 1, 4, 2, 1, 4, 1, 1, 3, 4, 3, 0, 2, 0, 3, 3, 1, 4, 2, 1, 0, 4, 1, 3, 0, 0, 0, 3, 3, 1, 0, 2, 2, 4, 2, 3, 4, 4, 2, 3, 0, 2, 2, 1, 4, 0, 4, 2, 3, 2, 2, 2, 1, 4, 4, 2, 0, 0, 0, 4, 3, 4, 1, 3, 4, 2, 4, 0, 2, 0, 4, 4, 1, 4, 3, 0, 2, 2, 0, 2, 2, 4, 3, 4, 0, 4, 1, 2, 1, 4, 2, 3, 1, 2, 2, 0, 1, 1, 0, 2, 4, 2, 3, 2, 0, 1, 0, 4, 0, 4, 1, 1, 1, 3, 0, 0, 4, 4, 1, 3, 0, 0, 2, 2, 1, 1, 3, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 4, 1, 2, 2, 4, 1, 0, 0, 3, 4, 0, 1, 1, 2, 2, 2, 3, 1, 4, 1, 4, 4, 1, 2, 4, 4, 1, 2, 3, 2, 4, 2, 3, 3, 0, 1, 0, 2, 1, 1, 0, 4, 4, 4, 1, 3, 2, 3, 3, 2, 1, 1, 0, 2, 0, 1, 1, 3, 2, 2, 2, 2, 3, 0, 3, 3, 2, 3, 3, 1, 1, 4, 0, 0, 1, 1, 4, 1, 4, 4, 1, 4, 2, 2, 0, 0, 2, 3, 2, 2, 3, 1, 4, 3, 0, 4, 4, 3, 0, 3, 2, 3, 4, 1, 3, 0, 3, 0, 2, 1, 4, 0, 1, 2, 1, 1, 2, 3, 3, 4, 2, 0, 0, 0, 1, 4, 2, 2, 2, 1, 0, 4, 1, 4, 4, 2, 1, 0, 2, 1, 2, 3, 1, 0, 3, 0, 4, 1, 1, 1, 3, 4, 3, 3, 2, 2, 1, 0, 3, 3, 4, 4, 3, 0, 4, 2, 2, 1, 0, 3, 3, 2, 2, 1, 3, 4, 1, 0, 3, 1, 3, 3, 0, 4, 3, 0, 3, 3, 1, 2, 0, 0, 4, 4, 2, 0, 2, 4, 3, 1, 4, 3, 1, 3, 4, 2, 0, 3, 0, 3, 1, 1, 3, 0, 2, 1, 4, 0, 2, 2, 4, 1, 1, 2, 4, 2, 2, 1, 1, 4, 3, 2, 2, 4, 1, 1, 1, 0, 3, 2, 4, 0, 1, 4, 3, 4, 4, 1, 0, 0, 4, 2, 3, 1, 0, 0, 2, 2, 3, 1, 0, 4, 4, 1, 2, 3, 0, 3, 3, 0, 1, 4, 1, 4, 0, 3, 2, 0, 2, 3, 0, 3, 4, 2, 0, 0, 0, 2, 4, 0, 0, 4, 1, 3, 2, 0, 0, 3, 4, 1] pubkeycol1667 = [1, 3, 4, 1, 3, 0, 3, 1, 4, 1, 0, 3, 2, 1, 4, 2, 0, 4, 2, 1, 0, 1, 3, 0, 3, 2, 2, 1, 4, 2, 1, 0, 2, 2, 2, 3, 4, 4, 3, 3, 3, 1, 0, 3, 4, 4, 1, 3, 4, 2, 1, 3, 0, 0, 4, 1, 1, 1, 1, 4, 2, 3, 1, 1, 0, 0, 3, 0, 2, 2, 4, 2, 4, 3, 1, 3, 2, 2, 1, 3, 3, 0, 0, 3, 0, 4, 1, 2, 3, 1, 1, 4, 2, 3, 3, 0, 3, 0, 1, 0, 4, 1, 2, 2, 1, 1, 0, 0, 3, 0, 2, 1, 2, 1, 3, 1, 0, 3, 2, 0, 4, 2, 2, 3, 4, 0, 4, 1, 3, 2, 4, 4, 1, 4, 2, 2, 4, 3, 2, 2, 0, 3, 0, 3, 3, 0, 2, 0, 4, 0, 4, 0, 2, 3, 4, 1, 2, 2, 2, 2, 1, 4, 4, 3, 4, 2, 0, 0, 1, 3, 2, 4, 1, 0, 4, 4, 2, 1, 1, 0, 0, 0, 3, 0, 4, 1, 2, 1, 1, 4, 4, 2, 3, 2, 1, 3, 3, 0, 4, 4, 1, 0, 0, 2, 3, 2, 0, 1, 3, 1, 0, 3, 1, 0, 4, 3, 0, 2, 4, 0, 2, 1, 4, 1, 3, 0, 4, 4, 0, 4, 4, 2, 1, 3, 1, 4, 0, 2, 0, 2, 1, 3, 0, 0, 3, 4, 1, 0, 1, 0, 1, 4, 2, 1, 2, 1, 0, 3, 2, 4, 4, 1, 0, 0, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 4, 3, 3, 0, 0, 4, 4, 3, 4, 3, 1, 0, 0, 3, 3, 4, 3, 3, 0, 2, 4, 0, 0, 3, 2, 3, 1, 2, 4, 4, 3, 4, 3, 4, 2, 2, 4, 2, 2, 0, 1, 1, 0, 0, 4, 0, 3, 1, 1, 0, 2, 3, 4, 0, 0, 4, 1, 0, 2, 1, 3, 0, 2, 3, 4, 3, 2, 1, 3, 3, 1, 2, 3, 0, 3, 3, 3, 0, 2, 2, 0, 3, 1, 2, 3, 3, 2, 3, 2, 2, 1, 0, 0, 2, 3, 2, 4, 1, 0, 2, 3, 2, 4, 1, 0, 3, 3, 2, 0, 4, 3, 3, 0, 2, 2, 2, 4, 4, 1, 4, 4, 3, 3, 1, 0, 3, 1, 4, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 2, 0, 0, 1, 2, 1, 2, 4, 0, 0, 2, 4, 1, 4, 3, 3, 3, 0, 3, 4, 0, 0, 4, 4, 1, 1, 4, 1, 0, 0, 0, 1, 4, 0, 4, 3, 2, 1, 3, 3, 0, 4, 0, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 0, 4, 3, 4, 1, 3, 2, 2, 1, 2] pubkeycol1668 = [2, 2, 2, 1, 1, 3, 2, 0, 3, 2, 1, 2, 0, 2, 3, 1, 3, 4, 3, 2, 2, 0, 3, 0, 4, 0, 0, 3, 2, 3, 1, 3, 3, 1, 2, 0, 0, 4, 1, 4, 4, 2, 3, 3, 3, 3, 4, 1, 3, 1, 2, 4, 0, 0, 2, 3, 1, 3, 4, 2, 1, 4, 3, 2, 3, 0, 0, 3, 1, 0, 2, 0, 4, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 3, 4, 2, 4, 1, 4, 2, 1, 3, 1, 3, 4, 3, 1, 1, 2, 1, 0, 4, 2, 3, 2, 3, 1, 4, 1, 4, 4, 1, 0, 1, 3, 2, 4, 1, 4, 0, 2, 2, 0, 0, 0, 1, 1, 3, 2, 4, 3, 0, 2, 4, 1, 3, 0, 0, 2, 4, 4, 2, 2, 3, 3, 3, 1, 1, 4, 4, 2, 2, 2, 2, 0, 4, 3, 3, 1, 1, 4, 2, 3, 2, 3, 3, 0, 4, 4, 4, 2, 3, 2, 3, 1, 3, 2, 0, 4, 4, 0, 0, 4, 2, 1, 0, 4, 2, 0, 2, 1, 3, 0, 2, 2, 4, 2, 0, 2, 2, 3, 1, 2, 1, 3, 2, 4, 0, 1, 2, 3, 0, 3, 0, 0, 0, 2, 4, 3, 4, 2, 1, 1, 2, 3, 3, 2, 0, 3, 1, 3, 3, 4, 4, 4, 2, 1, 3, 4, 3, 1, 2, 4, 4, 2, 0, 2, 0, 4, 2, 0, 1, 1, 0, 3, 3, 0, 3, 0, 2, 3, 0, 4, 2, 4, 3, 1, 1, 4, 4, 4, 4, 0, 2, 1, 2, 3, 0, 0, 1, 1, 0, 0, 4, 2, 2, 3, 3, 4, 1, 3, 1, 3, 0, 2, 2, 2, 4, 4, 4, 2, 0, 0, 2, 2, 4, 2, 1, 4, 1, 4, 0, 1, 0, 0, 3, 2, 1, 3, 0, 0, 1, 2, 1, 0, 4, 4, 0, 0, 1, 4, 3, 1, 2, 1, 2, 3, 3, 3, 4, 2, 3, 3, 3, 0, 0, 2, 2, 2, 2, 0, 2, 3, 0, 0, 0, 0, 1, 2, 4, 0, 2, 3, 4, 2, 3, 3, 2, 0, 1, 0, 3, 4, 1, 2, 4, 1, 2, 3, 0, 0, 4, 4, 1, 2, 0, 1, 2, 4, 3, 1, 2, 1, 2, 2, 3, 3, 4, 4, 3, 3, 1, 1, 2, 0, 3, 4, 2, 4, 3, 2, 2, 2, 2, 2, 3, 1, 0, 3, 4, 3, 3, 3, 2, 0, 3, 3, 0, 2, 3, 1, 0, 0, 2, 3, 2, 0, 0, 2, 1, 4, 4, 3, 0, 2, 0, 0, 2, 4, 0, 1, 0, 4, 3, 4, 3, 4, 3, 2, 0, 3, 0, 0, 0, 1, 1, 0, 2, 0, 4, 0, 0, 3, 3, 3, 2, 3, 0] pubkeycol1669 = [3, 1, 3, 4, 0, 3, 2, 1, 0, 1, 2, 0, 4, 1, 0, 3, 2, 4, 2, 2, 1, 2, 1, 3, 3, 4, 4, 0, 0, 0, 4, 2, 2, 4, 4, 1, 0, 1, 1, 0, 4, 3, 4, 3, 1, 0, 0, 3, 2, 1, 2, 3, 4, 0, 4, 2, 0, 3, 2, 0, 4, 2, 2, 4, 1, 0, 3, 4, 1, 2, 3, 2, 2, 1, 3, 0, 0, 4, 1, 4, 1, 4, 4, 0, 3, 0, 0, 4, 2, 4, 0, 1, 4, 0, 0, 4, 0, 2, 4, 2, 3, 4, 3, 4, 1, 2, 1, 0, 2, 3, 2, 4, 1, 3, 4, 1, 4, 1, 3, 1, 1, 1, 0, 4, 3, 2, 3, 4, 3, 2, 1, 1, 4, 4, 3, 4, 4, 1, 4, 0, 2, 4, 4, 3, 4, 4, 0, 1, 2, 4, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 4, 3, 0, 0, 1, 2, 3, 4, 0, 3, 0, 2, 3, 2, 4, 2, 4, 3, 1, 0, 3, 1, 3, 2, 2, 0, 4, 0, 0, 0, 3, 2, 0, 3, 1, 1, 1, 3, 0, 3, 3, 3, 0, 2, 3, 0, 1, 3, 1, 1, 1, 0, 0, 2, 0, 1, 4, 3, 1, 4, 2, 0, 2, 1, 0, 2, 0, 4, 0, 1, 4, 3, 2, 0, 4, 2, 3, 0, 3, 1, 1, 0, 2, 0, 2, 4, 2, 0, 3, 4, 3, 2, 1, 4, 0, 0, 2, 3, 2, 0, 3, 3, 3, 3, 2, 3, 2, 3, 2, 1, 4, 2, 0, 3, 2, 3, 0, 3, 1, 2, 2, 0, 3, 4, 1, 4, 0, 2, 2, 4, 1, 4, 2, 0, 3, 1, 0, 2, 1, 2, 3, 1, 0, 0, 2, 0, 2, 2, 4, 2, 3, 3, 2, 0, 3, 3, 0, 2, 3, 4, 3, 1, 0, 3, 3, 1, 3, 4, 0, 3, 1, 4, 0, 1, 0, 3, 4, 4, 3, 4, 2, 4, 0, 4, 4, 4, 1, 1, 4, 0, 2, 4, 1, 0, 3, 2, 4, 1, 2, 2, 0, 1, 2, 3, 4, 0, 3, 3, 1, 3, 0, 1, 4, 0, 0, 4, 0, 2, 3, 3, 0, 1, 1, 3, 3, 1, 4, 1, 1, 2, 4, 1, 2, 4, 0, 2, 0, 0, 2, 1, 2, 4, 3, 1, 1, 2, 1, 4, 3, 4, 4, 3, 0, 4, 2, 3, 3, 1, 1, 4, 3, 1, 3, 2, 4, 1, 1, 0, 1, 4, 1, 4, 4, 1, 4, 4, 1, 3, 0, 2, 3, 3, 0, 0, 3, 0, 1, 0, 0, 4, 3, 1, 0, 1, 4, 1, 0, 0, 4, 4, 3, 3, 2, 4, 3, 0, 4, 1, 4, 0, 0, 4, 0, 4, 4, 3, 3, 3, 3] pubkeycol1670 = [4, 1, 1, 1, 4, 1, 1, 0, 1, 0, 3, 3, 4, 4, 4, 0, 0, 4, 3, 0, 2, 1, 4, 4, 0, 2, 2, 0, 1, 2, 3, 4, 1, 1, 1, 2, 4, 1, 0, 2, 0, 4, 4, 4, 4, 4, 1, 1, 4, 1, 1, 0, 1, 1, 2, 3, 0, 3, 4, 2, 3, 3, 1, 4, 0, 3, 0, 4, 2, 1, 0, 1, 4, 1, 3, 4, 3, 1, 3, 1, 1, 0, 0, 2, 4, 4, 1, 1, 0, 0, 3, 4, 3, 4, 3, 3, 2, 1, 2, 3, 4, 0, 4, 1, 3, 4, 3, 4, 0, 2, 0, 4, 1, 4, 0, 4, 0, 1, 3, 0, 2, 1, 3, 1, 0, 1, 3, 4, 4, 0, 4, 0, 0, 1, 4, 0, 0, 2, 3, 4, 3, 4, 1, 4, 1, 0, 3, 3, 3, 1, 3, 4, 2, 4, 0, 3, 0, 0, 1, 3, 0, 4, 4, 4, 1, 1, 3, 4, 1, 1, 3, 1, 0, 2, 1, 2, 1, 1, 1, 2, 4, 2, 3, 2, 3, 2, 1, 0, 4, 2, 1, 4, 3, 3, 4, 3, 0, 4, 3, 1, 1, 2, 1, 1, 3, 3, 2, 1, 3, 2, 1, 4, 0, 4, 1, 1, 1, 0, 0, 4, 2, 2, 0, 4, 0, 2, 2, 2, 2, 1, 0, 4, 4, 1, 4, 0, 4, 1, 0, 1, 3, 2, 3, 4, 2, 0, 4, 2, 0, 4, 3, 0, 0, 1, 3, 4, 3, 1, 0, 2, 2, 4, 2, 2, 0, 3, 2, 0, 3, 0, 3, 0, 0, 2, 3, 4, 2, 2, 0, 2, 0, 3, 1, 2, 3, 2, 3, 3, 3, 1, 3, 0, 4, 3, 4, 0, 4, 1, 4, 0, 0, 0, 2, 4, 3, 4, 1, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 4, 1, 1, 3, 3, 3, 3, 2, 4, 1, 1, 2, 3, 2, 3, 1, 2, 2, 3, 1, 0, 0, 2, 2, 1, 3, 2, 2, 4, 1, 2, 0, 3, 0, 4, 2, 3, 3, 3, 1, 0, 0, 3, 1, 4, 4, 4, 4, 4, 1, 4, 4, 2, 3, 1, 0, 3, 1, 4, 4, 1, 0, 2, 3, 2, 4, 2, 2, 3, 0, 4, 2, 3, 4, 0, 0, 2, 2, 4, 1, 2, 1, 1, 0, 4, 0, 3, 1, 0, 2, 3, 3, 3, 0, 3, 0, 0, 1, 2, 3, 1, 0, 3, 2, 3, 2, 4, 1, 0, 1, 0, 4, 0, 1, 2, 1, 0, 3, 1, 3, 2, 1, 1, 4, 2, 3, 4, 2, 0, 4, 1, 2, 2, 4, 0, 4, 0, 3, 4, 2, 3, 3, 4, 1, 2, 1, 1, 3, 4, 1, 1, 1, 2, 2, 3, 4, 2, 2, 0, 0, 4, 2, 3] pubkeycol1671 = [1, 4, 4, 3, 1, 3, 1, 1, 2, 0, 4, 3, 1, 3, 2, 0, 1, 0, 4, 2, 1, 2, 0, 2, 2, 2, 1, 0, 3, 3, 0, 1, 2, 2, 4, 2, 0, 2, 1, 1, 2, 0, 0, 3, 1, 4, 0, 0, 1, 1, 3, 1, 3, 0, 3, 0, 1, 2, 3, 3, 4, 3, 2, 0, 0, 4, 3, 2, 2, 2, 1, 3, 1, 2, 0, 1, 3, 4, 4, 2, 3, 4, 1, 2, 2, 2, 0, 3, 0, 2, 0, 1, 1, 1, 3, 0, 4, 3, 4, 2, 4, 0, 4, 2, 2, 4, 2, 4, 3, 1, 1, 3, 2, 4, 0, 0, 3, 1, 2, 1, 0, 4, 1, 2, 4, 0, 4, 4, 4, 1, 2, 1, 2, 0, 2, 4, 3, 1, 0, 0, 2, 2, 0, 1, 2, 1, 3, 1, 0, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 3, 1, 3, 1, 3, 1, 2, 2, 0, 4, 0, 2, 3, 1, 1, 0, 0, 2, 4, 2, 0, 2, 3, 2, 0, 0, 0, 3, 3, 2, 4, 0, 1, 1, 2, 3, 2, 4, 0, 0, 1, 2, 1, 3, 0, 3, 0, 0, 2, 2, 1, 2, 1, 3, 2, 4, 2, 2, 4, 2, 4, 0, 3, 4, 0, 4, 3, 2, 3, 0, 4, 1, 4, 0, 1, 2, 4, 2, 4, 0, 0, 1, 1, 1, 4, 3, 3, 2, 3, 3, 3, 2, 4, 2, 0, 3, 0, 4, 3, 2, 3, 4, 0, 4, 3, 2, 2, 0, 1, 1, 3, 1, 0, 4, 3, 0, 0, 3, 0, 1, 0, 1, 4, 1, 0, 3, 2, 1, 4, 1, 1, 1, 1, 3, 2, 2, 0, 0, 4, 3, 4, 1, 0, 4, 2, 4, 2, 1, 2, 3, 4, 3, 3, 1, 4, 2, 4, 2, 1, 2, 2, 3, 3, 0, 3, 3, 0, 2, 4, 4, 2, 1, 2, 1, 0, 0, 3, 0, 3, 3, 2, 4, 4, 1, 0, 0, 1, 1, 4, 4, 0, 0, 2, 4, 0, 3, 1, 3, 2, 3, 3, 1, 2, 1, 3, 0, 2, 3, 2, 3, 4, 4, 4, 1, 1, 1, 0, 3, 0, 2, 2, 3, 0, 3, 3, 2, 1, 4, 3, 3, 4, 4, 3, 3, 1, 1, 1, 2, 2, 0, 3, 1, 4, 2, 3, 1, 3, 2, 4, 4, 1, 3, 1, 0, 3, 3, 0, 0, 0, 3, 3, 3, 1, 2, 4, 3, 3, 1, 4, 4, 3, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 4, 0, 0, 1, 4, 4, 1, 4, 0, 3, 1, 1, 4, 3, 3, 4, 1, 1, 0, 2, 4, 4, 0, 1, 3, 4, 4, 3, 2, 2, 2, 0, 3, 1, 2, 3, 4] pubkeycol1672 = [1, 2, 0, 4, 0, 3, 2, 2, 1, 2, 3, 0, 3, 2, 2, 4, 0, 1, 0, 4, 3, 2, 1, 4, 3, 0, 2, 2, 0, 4, 3, 1, 2, 0, 4, 1, 1, 3, 2, 2, 3, 0, 0, 3, 0, 2, 0, 3, 0, 1, 2, 3, 0, 1, 2, 4, 4, 2, 2, 0, 4, 1, 4, 2, 4, 1, 4, 0, 4, 3, 2, 4, 3, 4, 0, 3, 0, 3, 4, 4, 4, 1, 1, 3, 2, 4, 2, 3, 4, 3, 2, 4, 3, 1, 3, 0, 4, 3, 2, 2, 0, 4, 2, 0, 1, 0, 2, 2, 0, 2, 3, 1, 1, 4, 3, 1, 4, 2, 0, 0, 1, 4, 4, 4, 1, 4, 3, 4, 1, 0, 2, 3, 4, 2, 1, 1, 1, 0, 3, 1, 2, 2, 2, 3, 3, 3, 1, 2, 3, 2, 2, 3, 1, 0, 0, 1, 3, 0, 0, 1, 1, 2, 4, 0, 0, 0, 2, 2, 4, 3, 1, 4, 0, 2, 3, 2, 3, 2, 2, 1, 2, 3, 0, 0, 1, 4, 4, 4, 2, 0, 4, 2, 2, 0, 3, 1, 3, 1, 4, 1, 1, 4, 1, 3, 1, 4, 1, 3, 1, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 3, 2, 4, 2, 0, 4, 2, 2, 0, 4, 4, 0, 0, 4, 1, 1, 0, 4, 1, 3, 4, 3, 3, 4, 3, 4, 0, 2, 1, 2, 4, 0, 3, 2, 1, 1, 0, 2, 4, 3, 2, 4, 1, 3, 2, 4, 0, 0, 2, 3, 3, 2, 2, 1, 0, 4, 2, 4, 2, 1, 0, 1, 4, 2, 1, 0, 1, 4, 2, 2, 3, 1, 4, 0, 0, 1, 0, 4, 2, 0, 4, 0, 4, 2, 3, 3, 0, 4, 0, 1, 0, 4, 4, 4, 2, 0, 2, 0, 2, 0, 0, 3, 2, 4, 4, 2, 3, 4, 2, 0, 0, 3, 0, 3, 1, 0, 3, 2, 2, 1, 2, 4, 1, 0, 2, 3, 3, 3, 4, 0, 1, 4, 4, 1, 0, 2, 2, 0, 2, 3, 0, 3, 4, 2, 3, 2, 2, 0, 0, 4, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 4, 2, 2, 0, 3, 3, 4, 3, 4, 4, 1, 2, 4, 1, 2, 2, 1, 1, 2, 1, 2, 4, 4, 1, 3, 2, 1, 1, 1, 0, 4, 3, 0, 0, 3, 1, 2, 2, 4, 1, 3, 2, 1, 3, 4, 1, 4, 2, 2, 2, 0, 4, 1, 0, 4, 4, 0, 3, 2, 4, 0, 1, 3, 4, 3, 3, 0, 0, 1, 3, 0, 3, 0, 2, 1, 2, 1, 4, 4, 1, 1, 2, 1, 4, 0, 1, 2, 0, 1, 0, 4, 3, 0, 4, 1, 3, 0, 2, 3] pubkeycol1673 = [4, 2, 1, 2, 4, 4, 4, 0, 4, 0, 3, 0, 4, 3, 0, 0, 3, 2, 4, 0, 0, 3, 0, 2, 4, 2, 4, 1, 2, 1, 0, 1, 2, 4, 1, 3, 3, 0, 2, 0, 4, 2, 1, 1, 3, 2, 0, 1, 4, 0, 3, 1, 3, 1, 3, 3, 0, 1, 0, 1, 1, 0, 3, 2, 1, 2, 1, 2, 4, 3, 2, 0, 4, 4, 1, 0, 2, 1, 4, 0, 4, 4, 0, 1, 0, 3, 0, 1, 3, 3, 3, 0, 3, 2, 4, 4, 3, 2, 0, 3, 4, 4, 2, 1, 2, 1, 2, 1, 3, 0, 1, 1, 4, 2, 4, 4, 3, 1, 1, 4, 2, 0, 4, 0, 2, 4, 2, 1, 1, 4, 3, 3, 1, 1, 0, 4, 4, 1, 0, 1, 2, 3, 1, 2, 4, 2, 0, 0, 3, 3, 0, 3, 0, 2, 4, 3, 2, 0, 2, 0, 4, 0, 3, 2, 2, 4, 0, 4, 3, 4, 0, 3, 0, 3, 1, 4, 3, 3, 2, 1, 3, 1, 4, 3, 0, 4, 3, 2, 1, 0, 2, 0, 0, 3, 4, 4, 0, 0, 1, 0, 4, 0, 0, 3, 3, 2, 3, 0, 4, 0, 3, 4, 2, 2, 4, 2, 1, 0, 1, 4, 0, 3, 1, 3, 1, 3, 0, 2, 2, 4, 1, 0, 4, 3, 3, 4, 2, 4, 4, 3, 0, 1, 1, 0, 3, 0, 1, 0, 4, 2, 1, 4, 4, 2, 0, 0, 2, 2, 1, 0, 3, 2, 3, 4, 4, 2, 2, 4, 0, 1, 1, 0, 2, 4, 3, 2, 3, 2, 4, 0, 3, 4, 4, 4, 3, 1, 0, 2, 3, 2, 1, 1, 4, 2, 2, 4, 3, 2, 3, 4, 3, 4, 3, 3, 3, 0, 0, 2, 4, 4, 1, 2, 2, 1, 3, 4, 1, 1, 0, 1, 3, 3, 1, 4, 0, 3, 1, 4, 2, 4, 3, 0, 4, 3, 3, 1, 2, 2, 0, 2, 1, 3, 1, 1, 4, 2, 3, 0, 1, 3, 1, 3, 4, 3, 2, 4, 2, 1, 3, 0, 4, 4, 4, 1, 2, 3, 0, 1, 4, 0, 3, 1, 1, 1, 1, 1, 1, 2, 2, 4, 3, 1, 2, 4, 1, 1, 4, 1, 1, 2, 0, 3, 4, 2, 1, 2, 1, 4, 2, 3, 4, 1, 2, 1, 4, 3, 2, 4, 1, 1, 1, 1, 0, 4, 0, 4, 2, 0, 0, 4, 2, 2, 3, 3, 4, 1, 3, 0, 0, 1, 0, 3, 4, 1, 1, 2, 2, 1, 2, 3, 4, 4, 2, 1, 2, 4, 0, 3, 4, 1, 0, 1, 3, 4, 2, 3, 4, 2, 0, 1, 4, 1, 3, 2, 0, 4, 2, 1, 3, 4, 3, 2, 0, 4, 0, 3, 2, 2, 3, 1] pubkeycol1674 = [1, 0, 2, 3, 0, 4, 3, 2, 0, 0, 3, 3, 4, 2, 3, 2, 1, 2, 3, 3, 0, 3, 0, 1, 0, 2, 0, 2, 1, 4, 3, 2, 4, 2, 4, 0, 3, 2, 2, 4, 4, 2, 3, 3, 3, 0, 2, 0, 3, 0, 4, 1, 1, 3, 4, 4, 0, 2, 1, 1, 4, 2, 0, 1, 0, 3, 2, 0, 4, 2, 1, 3, 3, 4, 1, 3, 4, 1, 0, 0, 4, 4, 0, 3, 0, 4, 0, 1, 4, 3, 0, 2, 2, 2, 4, 2, 3, 3, 4, 2, 4, 1, 3, 3, 3, 0, 0, 3, 4, 0, 0, 4, 4, 2, 3, 4, 3, 0, 1, 4, 1, 0, 2, 1, 4, 4, 0, 2, 4, 4, 4, 3, 3, 4, 2, 3, 3, 2, 2, 4, 0, 4, 1, 4, 1, 1, 4, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 3, 0, 0, 4, 1, 1, 1, 2, 4, 1, 4, 0, 2, 3, 1, 2, 2, 1, 0, 1, 2, 1, 2, 4, 0, 3, 2, 2, 4, 4, 1, 3, 4, 2, 2, 0, 4, 1, 1, 2, 3, 4, 4, 1, 4, 0, 2, 2, 0, 1, 3, 1, 1, 2, 2, 1, 2, 4, 1, 0, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 3, 2, 3, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 4, 3, 0, 3, 2, 3, 3, 0, 0, 0, 4, 4, 2, 4, 4, 2, 2, 1, 0, 1, 1, 4, 0, 2, 3, 0, 1, 4, 2, 1, 0, 4, 0, 1, 1, 2, 4, 0, 1, 3, 3, 3, 2, 4, 1, 0, 2, 4, 1, 1, 1, 4, 0, 0, 1, 4, 3, 1, 0, 1, 3, 3, 0, 0, 4, 4, 4, 1, 3, 4, 1, 0, 4, 4, 3, 2, 2, 0, 3, 2, 1, 4, 0, 2, 3, 2, 1, 0, 4, 0, 2, 0, 4, 3, 1, 3, 0, 2, 1, 4, 0, 1, 4, 0, 3, 4, 0, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 4, 1, 4, 1, 2, 1, 2, 4, 0, 0, 1, 3, 0, 4, 1, 0, 3, 2, 2, 2, 3, 3, 0, 2, 0, 4, 3, 0, 4, 2, 4, 0, 2, 2, 2, 4, 3, 4, 1, 0, 4, 2, 3, 1, 3, 1, 2, 3, 1, 4, 3, 0, 2, 3, 1, 1, 1, 3, 1, 4, 4, 0, 0, 3, 1, 1, 3, 0, 3, 2, 0, 1, 4, 4, 4, 1, 3, 3, 3, 1, 1, 0, 0, 0, 1, 4, 0, 0, 0, 4, 0, 1, 4, 1, 0, 2, 1, 0, 3, 1, 3, 4, 2, 4, 4, 4, 4, 2, 1, 0, 1, 3, 3, 0, 2, 1, 1, 2, 0, 2, 1, 2] pubkeycol1675 = [2, 0, 1, 3, 0, 4, 3, 4, 4, 1, 2, 4, 3, 3, 2, 0, 3, 4, 0, 3, 1, 3, 4, 0, 1, 4, 2, 1, 0, 4, 1, 3, 1, 1, 1, 3, 1, 2, 2, 1, 0, 2, 1, 3, 0, 4, 4, 3, 3, 4, 3, 0, 3, 3, 2, 2, 4, 4, 4, 2, 0, 0, 3, 4, 1, 3, 1, 1, 0, 2, 3, 0, 4, 0, 4, 2, 0, 3, 1, 0, 4, 0, 3, 0, 3, 4, 2, 4, 0, 3, 2, 0, 3, 2, 0, 2, 1, 0, 0, 3, 0, 4, 0, 2, 1, 0, 3, 4, 2, 1, 1, 0, 3, 2, 3, 3, 1, 0, 3, 1, 0, 3, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 4, 3, 3, 1, 2, 0, 4, 3, 2, 3, 2, 3, 1, 3, 0, 3, 3, 3, 2, 0, 2, 0, 0, 4, 2, 0, 0, 4, 4, 3, 4, 1, 3, 0, 0, 2, 0, 2, 4, 2, 3, 0, 4, 2, 4, 2, 0, 2, 2, 0, 1, 0, 4, 4, 1, 4, 4, 1, 3, 0, 0, 3, 0, 0, 4, 2, 2, 4, 3, 4, 1, 3, 2, 0, 0, 4, 4, 0, 4, 0, 0, 1, 2, 0, 2, 1, 3, 0, 1, 2, 4, 0, 0, 1, 3, 1, 0, 0, 3, 0, 3, 4, 4, 4, 0, 2, 4, 2, 4, 4, 4, 0, 2, 4, 3, 3, 0, 3, 1, 1, 1, 4, 3, 0, 2, 4, 4, 2, 3, 0, 3, 2, 4, 4, 1, 0, 1, 1, 2, 1, 3, 2, 4, 0, 2, 1, 1, 0, 3, 1, 1, 1, 1, 4, 2, 3, 1, 4, 2, 4, 2, 1, 3, 0, 0, 4, 4, 3, 2, 3, 0, 0, 2, 2, 3, 4, 2, 1, 1, 4, 0, 1, 1, 3, 0, 1, 2, 0, 1, 0, 1, 2, 4, 4, 1, 0, 3, 2, 2, 1, 2, 0, 0, 2, 0, 4, 0, 0, 4, 1, 0, 1, 1, 4, 0, 4, 1, 0, 1, 2, 3, 2, 1, 4, 3, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 4, 3, 0, 0, 3, 1, 4, 1, 1, 2, 0, 2, 3, 2, 2, 2, 1, 3, 3, 4, 3, 0, 4, 1, 4, 3, 2, 1, 4, 0, 3, 2, 1, 4, 0, 1, 4, 3, 2, 0, 3, 3, 2, 0, 3, 3, 3, 2, 4, 4, 2, 2, 3, 2, 0, 4, 3, 0, 4, 2, 1, 1, 1, 3, 4, 0, 2, 1, 2, 2, 3, 0, 0, 1, 4, 2, 0, 0, 1, 4, 2, 4, 1, 4, 1, 4, 0, 2, 3, 3, 4, 2, 4, 1, 1, 4, 1, 3, 0, 4, 3, 0, 2, 4, 1, 1, 1, 4, 1, 3] pubkeycol1676 = [2, 4, 1, 1, 0, 4, 0, 0, 4, 1, 3, 2, 2, 4, 1, 0, 2, 0, 3, 1, 1, 1, 3, 4, 2, 3, 1, 2, 2, 2, 2, 2, 3, 4, 2, 1, 4, 2, 2, 0, 2, 3, 0, 3, 0, 4, 4, 1, 2, 4, 3, 0, 4, 4, 3, 0, 2, 3, 0, 0, 2, 4, 0, 3, 4, 4, 4, 3, 2, 3, 3, 2, 3, 1, 3, 4, 2, 3, 0, 4, 4, 2, 4, 1, 0, 1, 4, 0, 2, 0, 1, 3, 3, 3, 3, 4, 3, 3, 1, 3, 3, 4, 3, 2, 4, 2, 2, 1, 3, 1, 4, 3, 3, 2, 3, 1, 2, 3, 0, 0, 0, 0, 4, 3, 2, 1, 2, 4, 3, 4, 0, 0, 0, 4, 1, 2, 3, 4, 0, 2, 1, 3, 1, 1, 0, 2, 1, 2, 4, 3, 1, 1, 2, 0, 1, 2, 4, 2, 0, 0, 3, 4, 1, 4, 4, 4, 4, 2, 0, 1, 2, 2, 0, 4, 0, 3, 4, 1, 2, 4, 0, 0, 1, 1, 3, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 4, 2, 1, 0, 2, 4, 2, 4, 2, 1, 2, 3, 2, 0, 3, 0, 2, 2, 2, 0, 4, 3, 4, 0, 0, 1, 1, 0, 2, 2, 1, 2, 3, 2, 0, 0, 0, 3, 4, 2, 3, 4, 1, 0, 3, 3, 4, 0, 3, 2, 2, 1, 0, 0, 0, 2, 4, 4, 4, 4, 0, 1, 3, 2, 0, 0, 3, 2, 1, 4, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 4, 1, 0, 0, 4, 0, 2, 1, 3, 2, 2, 0, 1, 2, 0, 3, 0, 4, 0, 3, 2, 1, 4, 1, 3, 3, 4, 0, 2, 2, 4, 1, 1, 1, 2, 0, 3, 3, 1, 3, 3, 0, 1, 4, 0, 1, 4, 1, 0, 2, 1, 0, 3, 0, 0, 4, 0, 1, 4, 1, 0, 2, 3, 0, 1, 4, 2, 3, 4, 2, 0, 1, 4, 0, 4, 1, 1, 2, 0, 4, 4, 4, 2, 2, 3, 2, 0, 0, 1, 1, 4, 0, 1, 2, 2, 3, 4, 2, 4, 0, 3, 0, 3, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4, 1, 3, 2, 2, 2, 4, 3, 3, 3, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 3, 1, 0, 1, 2, 0, 1, 1, 4, 0, 0, 1, 1, 3, 2, 3, 0, 0, 4, 3, 0, 2, 2, 4, 3, 2, 4, 1, 3, 3, 1, 4, 4, 4, 1, 3, 4, 0, 3, 1, 1, 0, 3, 4, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 3, 2, 0, 1, 0, 1, 3, 2, 0, 3, 0, 2, 0, 0] pubkeycol1677 = [4, 1, 4, 1, 2, 4, 0, 0, 2, 3, 0, 1, 2, 0, 0, 0, 1, 4, 0, 1, 3, 2, 0, 3, 4, 3, 3, 1, 1, 1, 4, 2, 3, 2, 0, 0, 0, 3, 0, 2, 4, 2, 2, 2, 3, 3, 3, 0, 0, 1, 0, 4, 1, 3, 4, 2, 3, 2, 0, 4, 3, 1, 4, 3, 3, 4, 1, 4, 1, 1, 0, 3, 1, 3, 4, 2, 4, 1, 1, 4, 3, 3, 1, 1, 0, 0, 4, 0, 1, 4, 3, 2, 0, 0, 2, 0, 4, 1, 3, 2, 3, 1, 3, 0, 4, 1, 2, 3, 0, 4, 0, 3, 1, 0, 1, 2, 0, 0, 2, 0, 3, 0, 3, 2, 0, 3, 1, 3, 4, 4, 1, 2, 4, 3, 1, 4, 4, 0, 4, 4, 0, 4, 1, 2, 3, 4, 1, 2, 0, 3, 3, 4, 1, 0, 1, 2, 1, 4, 1, 2, 4, 3, 1, 3, 2, 4, 2, 1, 2, 1, 1, 4, 0, 4, 1, 4, 0, 1, 3, 2, 3, 0, 1, 3, 2, 2, 3, 0, 1, 3, 2, 4, 4, 1, 1, 3, 1, 3, 4, 4, 3, 2, 4, 3, 4, 1, 2, 0, 4, 4, 4, 1, 4, 3, 1, 1, 4, 2, 2, 0, 4, 1, 4, 2, 2, 3, 2, 3, 0, 2, 2, 2, 1, 3, 0, 2, 0, 4, 4, 1, 2, 4, 3, 3, 4, 0, 4, 1, 0, 4, 2, 1, 4, 4, 3, 1, 1, 4, 3, 1, 0, 1, 2, 1, 1, 3, 3, 2, 1, 4, 4, 1, 2, 0, 4, 4, 0, 4, 1, 3, 2, 3, 2, 4, 4, 1, 1, 1, 3, 0, 2, 3, 1, 0, 4, 0, 2, 1, 1, 4, 3, 4, 3, 2, 1, 1, 4, 0, 3, 1, 2, 4, 0, 3, 3, 3, 3, 4, 3, 3, 3, 1, 1, 0, 2, 3, 4, 1, 0, 0, 4, 1, 3, 3, 4, 3, 2, 1, 2, 0, 1, 4, 4, 1, 2, 4, 4, 3, 4, 4, 1, 4, 1, 1, 1, 3, 4, 0, 3, 2, 0, 0, 4, 4, 3, 0, 2, 4, 4, 1, 4, 0, 0, 4, 1, 1, 4, 0, 0, 2, 1, 2, 1, 1, 3, 3, 2, 0, 4, 3, 0, 1, 0, 2, 4, 3, 3, 2, 0, 4, 1, 1, 4, 1, 0, 3, 3, 2, 4, 3, 0, 0, 2, 4, 1, 2, 3, 0, 2, 4, 1, 2, 0, 4, 2, 1, 0, 1, 3, 1, 4, 0, 3, 2, 4, 4, 1, 3, 0, 3, 4, 0, 2, 1, 0, 3, 0, 1, 1, 1, 1, 3, 2, 1, 2, 4, 1, 3, 4, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 3, 4, 3, 2, 3, 0, 1, 2, 1, 1, 0] pubkeycol1678 = [0, 3, 4, 0, 3, 4, 2, 0, 2, 1, 2, 1, 4, 1, 1, 0, 4, 1, 3, 0, 1, 4, 2, 4, 4, 0, 0, 1, 0, 4, 4, 1, 0, 0, 2, 2, 3, 1, 3, 2, 0, 1, 0, 2, 3, 4, 0, 4, 3, 3, 2, 0, 4, 3, 4, 0, 1, 3, 1, 2, 0, 3, 4, 2, 4, 3, 0, 3, 0, 3, 2, 2, 4, 3, 3, 3, 3, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 4, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 3, 1, 4, 3, 0, 0, 4, 4, 1, 2, 3, 4, 2, 2, 3, 1, 2, 3, 0, 4, 2, 3, 1, 3, 1, 4, 2, 2, 3, 3, 0, 4, 4, 4, 0, 3, 3, 2, 0, 3, 2, 1, 4, 2, 3, 1, 0, 3, 0, 2, 2, 3, 1, 2, 3, 2, 1, 4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 4, 1, 3, 1, 4, 0, 3, 2, 1, 3, 0, 4, 0, 4, 1, 0, 4, 2, 3, 3, 3, 1, 1, 3, 3, 2, 3, 0, 1, 3, 3, 2, 3, 4, 4, 1, 0, 3, 1, 4, 1, 1, 4, 4, 4, 3, 4, 0, 1, 4, 1, 3, 0, 3, 4, 3, 1, 4, 4, 1, 3, 3, 2, 4, 2, 2, 4, 0, 1, 0, 3, 3, 2, 4, 2, 3, 3, 2, 0, 1, 1, 1, 2, 0, 2, 4, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 3, 4, 0, 2, 4, 1, 1, 1, 4, 3, 1, 2, 0, 1, 4, 4, 4, 4, 4, 1, 1, 2, 0, 1, 3, 0, 0, 0, 1, 3, 2, 2, 0, 3, 3, 4, 0, 3, 3, 2, 3, 4, 1, 2, 2, 0, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 2, 2, 4, 4, 2, 1, 4, 3, 3, 4, 4, 1, 0, 1, 3, 3, 0, 3, 3, 1, 4, 0, 4, 3, 4, 2, 1, 1, 0, 3, 1, 1, 2, 3, 2, 1, 1, 3, 0, 1, 2, 0, 4, 2, 4, 0, 0, 3, 4, 0, 3, 1, 1, 1, 4, 0, 1, 4, 4, 4, 1, 2, 0, 3, 3, 2, 4, 0, 3, 1, 0, 2, 3, 1, 2, 4, 0, 3, 0, 3, 2, 4, 2, 3, 0, 2, 2, 1, 3, 2, 0, 0, 4, 2, 1, 2, 0, 3, 3, 3, 4, 1, 2, 0, 4, 1, 2, 4, 0, 0, 0, 3, 0, 1, 1, 2, 0, 2, 3, 0, 1, 3, 2, 1, 2, 0, 1, 1, 1, 3, 4, 3, 3, 2, 2, 2, 3, 0, 2, 2, 0, 4, 4, 2, 2, 2, 2, 1, 2, 0] pubkeycol1679 = [1, 0, 1, 2, 3, 0, 1, 3, 2, 4, 1, 3, 3, 3, 4, 3, 2, 1, 3, 0, 4, 1, 0, 1, 2, 4, 0, 1, 0, 0, 3, 0, 0, 3, 0, 1, 4, 0, 3, 4, 2, 1, 0, 1, 4, 0, 1, 0, 1, 2, 1, 2, 0, 4, 3, 0, 2, 2, 2, 3, 2, 3, 3, 0, 4, 0, 2, 4, 3, 3, 2, 0, 1, 4, 0, 2, 0, 0, 4, 2, 2, 1, 1, 4, 2, 1, 3, 2, 3, 1, 4, 2, 3, 3, 0, 3, 1, 3, 1, 2, 0, 2, 4, 2, 1, 2, 2, 3, 1, 1, 0, 3, 4, 2, 3, 3, 4, 2, 2, 3, 0, 4, 3, 1, 2, 2, 0, 2, 4, 4, 1, 0, 0, 2, 2, 2, 0, 4, 3, 4, 0, 2, 0, 3, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 4, 2, 1, 3, 0, 1, 0, 4, 0, 4, 2, 3, 1, 0, 0, 3, 3, 0, 2, 2, 2, 4, 1, 2, 1, 2, 3, 0, 0, 3, 1, 1, 0, 3, 2, 2, 4, 3, 4, 3, 2, 4, 2, 4, 0, 2, 0, 2, 4, 2, 4, 1, 1, 2, 1, 3, 2, 3, 0, 4, 2, 0, 4, 1, 0, 0, 1, 0, 0, 1, 3, 1, 2, 1, 0, 2, 2, 1, 4, 2, 2, 0, 3, 4, 2, 0, 2, 4, 1, 3, 1, 4, 0, 3, 0, 1, 0, 4, 4, 1, 4, 3, 3, 2, 3, 4, 0, 1, 1, 1, 3, 3, 2, 2, 2, 0, 3, 1, 2, 2, 2, 0, 4, 4, 0, 1, 4, 3, 2, 3, 2, 4, 2, 3, 1, 1, 1, 0, 4, 0, 4, 3, 1, 4, 2, 4, 3, 3, 1, 3, 3, 0, 2, 3, 4, 0, 1, 0, 1, 2, 3, 2, 2, 3, 1, 0, 1, 4, 3, 0, 4, 1, 0, 3, 0, 1, 2, 3, 4, 3, 4, 4, 4, 0, 3, 0, 4, 1, 4, 4, 1, 0, 4, 4, 4, 4, 2, 4, 0, 3, 3, 0, 0, 4, 2, 2, 4, 3, 0, 3, 3, 2, 3, 0, 1, 1, 1, 3, 1, 2, 3, 3, 4, 0, 3, 4, 2, 4, 4, 3, 3, 0, 0, 2, 0, 2, 0, 3, 4, 3, 0, 0, 1, 2, 4, 2, 1, 3, 2, 4, 2, 3, 4, 1, 1, 2, 3, 2, 0, 4, 4, 0, 3, 4, 3, 3, 1, 4, 0, 2, 4, 3, 3, 2, 1, 2, 0, 4, 3, 0, 2, 1, 3, 1, 4, 1, 3, 2, 0, 1, 0, 4, 1, 2, 4, 4, 0, 2, 3, 2, 3, 3, 4, 0, 4, 0, 2, 1, 4, 2, 2, 0, 1, 0, 3, 2, 3, 4, 4, 0, 0, 3, 3, 4, 3, 1] pubkeycol1680 = [2, 4, 4, 0, 1, 0, 2, 4, 1, 4, 4, 4, 2, 0, 4, 0, 3, 4, 4, 0, 3, 2, 1, 2, 3, 2, 2, 4, 1, 1, 3, 1, 0, 0, 2, 4, 3, 1, 3, 1, 0, 3, 1, 1, 2, 2, 3, 0, 2, 4, 4, 2, 1, 1, 0, 3, 2, 2, 1, 3, 4, 4, 3, 4, 4, 0, 2, 1, 1, 1, 3, 4, 0, 2, 1, 4, 1, 4, 3, 1, 2, 2, 4, 0, 4, 2, 4, 0, 3, 3, 4, 4, 0, 2, 0, 1, 1, 3, 2, 3, 1, 3, 1, 4, 0, 1, 1, 1, 4, 3, 2, 0, 4, 1, 1, 3, 4, 3, 2, 2, 3, 3, 4, 0, 1, 0, 1, 0, 0, 3, 0, 0, 2, 3, 4, 3, 4, 1, 4, 4, 0, 2, 1, 2, 4, 3, 3, 4, 3, 4, 3, 3, 2, 2, 2, 0, 1, 2, 3, 4, 1, 3, 3, 4, 2, 3, 3, 2, 1, 2, 4, 1, 4, 2, 3, 4, 2, 1, 4, 2, 2, 2, 2, 4, 2, 0, 1, 3, 3, 3, 0, 1, 2, 4, 3, 0, 3, 1, 2, 1, 0, 3, 1, 2, 0, 3, 1, 4, 0, 1, 0, 1, 4, 4, 1, 0, 3, 1, 3, 2, 3, 2, 3, 4, 0, 4, 3, 1, 4, 4, 1, 1, 4, 1, 3, 1, 2, 3, 2, 2, 2, 2, 4, 1, 0, 3, 4, 3, 0, 4, 4, 4, 1, 4, 2, 4, 4, 0, 0, 0, 0, 2, 3, 4, 1, 1, 4, 3, 2, 3, 4, 0, 1, 4, 3, 2, 4, 0, 1, 4, 3, 2, 1, 3, 3, 0, 4, 1, 0, 3, 4, 2, 3, 0, 1, 2, 4, 2, 1, 0, 4, 3, 2, 4, 2, 0, 0, 1, 0, 3, 1, 2, 4, 1, 1, 3, 4, 2, 4, 0, 3, 1, 2, 2, 1, 4, 3, 0, 0, 2, 1, 1, 3, 3, 1, 0, 0, 0, 1, 3, 0, 0, 2, 0, 2, 1, 4, 4, 4, 4, 0, 3, 4, 4, 3, 1, 2, 1, 2, 0, 2, 2, 0, 2, 3, 3, 1, 2, 1, 2, 2, 4, 3, 3, 3, 4, 1, 3, 3, 2, 1, 4, 2, 1, 3, 1, 0, 1, 0, 1, 0, 4, 1, 4, 1, 2, 3, 1, 2, 0, 2, 4, 1, 2, 4, 0, 4, 0, 2, 3, 3, 4, 0, 1, 2, 2, 4, 0, 2, 2, 0, 2, 1, 4, 0, 4, 3, 4, 1, 4, 3, 0, 4, 0, 2, 3, 4, 3, 0, 4, 0, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 4, 1, 0, 4, 2, 0, 0, 1, 3, 1, 0, 4, 1, 4, 4, 4, 1, 4, 0, 3, 4, 3, 3, 0, 2, 4, 0, 4] pubkeycol1681 = [1, 1, 2, 3, 3, 4, 0, 4, 0, 0, 3, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 3, 1, 2, 3, 0, 4, 2, 4, 2, 2, 2, 3, 2, 3, 2, 2, 2, 4, 2, 4, 2, 2, 2, 3, 0, 3, 0, 0, 2, 3, 1, 1, 3, 1, 0, 2, 1, 2, 4, 2, 0, 2, 3, 3, 3, 3, 3, 1, 0, 1, 4, 0, 3, 0, 1, 3, 3, 4, 4, 3, 3, 1, 4, 3, 3, 0, 3, 3, 3, 1, 0, 4, 4, 3, 1, 4, 4, 4, 1, 4, 3, 0, 1, 2, 1, 4, 2, 0, 3, 0, 2, 4, 1, 0, 3, 0, 3, 1, 2, 4, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 4, 3, 2, 0, 3, 1, 0, 1, 4, 1, 0, 2, 0, 2, 4, 0, 4, 4, 4, 1, 1, 0, 2, 3, 2, 3, 1, 1, 4, 3, 4, 0, 4, 2, 0, 1, 3, 3, 1, 4, 0, 0, 3, 4, 0, 0, 2, 2, 3, 4, 1, 1, 3, 3, 4, 4, 4, 1, 0, 4, 4, 4, 3, 1, 3, 1, 4, 0, 2, 0, 2, 1, 3, 4, 4, 0, 0, 1, 3, 1, 2, 0, 1, 0, 0, 4, 0, 3, 0, 4, 4, 1, 4, 4, 4, 1, 3, 2, 2, 4, 0, 4, 1, 0, 4, 0, 1, 2, 4, 0, 3, 4, 1, 3, 4, 0, 3, 1, 4, 3, 0, 4, 1, 3, 0, 2, 2, 4, 0, 4, 2, 3, 4, 1, 3, 0, 1, 1, 0, 3, 3, 2, 1, 0, 2, 1, 4, 4, 3, 1, 1, 2, 3, 1, 0, 3, 4, 2, 3, 3, 3, 2, 0, 3, 1, 3, 2, 0, 1, 1, 0, 3, 1, 0, 0, 2, 4, 3, 1, 4, 1, 3, 1, 1, 3, 3, 4, 0, 0, 4, 3, 2, 2, 0, 3, 0, 4, 3, 3, 1, 0, 2, 3, 3, 4, 0, 1, 1, 3, 1, 1, 4, 4, 3, 1, 1, 0, 3, 4, 3, 0, 1, 1, 1, 3, 0, 0, 1, 1, 0, 2, 3, 1, 3, 2, 1, 4, 1, 4, 1, 2, 3, 0, 0, 1, 2, 3, 1, 1, 0, 2, 3, 2, 2, 3, 0, 1, 0, 3, 3, 1, 2, 4, 4, 3, 4, 0, 3, 4, 2, 4, 1, 4, 4, 3, 4, 3, 2, 0, 3, 1, 2, 0, 2, 3, 3, 4, 2, 3, 0, 2, 0, 0, 3, 3, 1, 4, 0, 2, 4, 2, 2, 3, 0, 1, 1, 4, 4, 4, 4, 3, 1, 0, 0, 4, 3, 2, 2, 1, 0, 3, 2, 0, 2, 3, 4, 2, 3, 4, 2, 2, 3, 0, 0, 3, 3, 4, 2, 2, 2, 2, 2, 1, 0, 3, 2, 2] pubkeycol1682 = [2, 2, 2, 2, 1, 3, 4, 1, 2, 1, 0, 2, 1, 4, 1, 0, 0, 3, 1, 3, 2, 3, 3, 2, 4, 3, 4, 4, 2, 2, 1, 1, 0, 3, 4, 1, 1, 0, 1, 4, 4, 0, 0, 3, 3, 1, 4, 2, 3, 4, 1, 4, 2, 1, 1, 1, 0, 3, 0, 0, 2, 1, 0, 2, 3, 0, 3, 0, 2, 0, 0, 3, 2, 0, 2, 2, 0, 2, 4, 1, 4, 1, 1, 2, 3, 3, 4, 4, 3, 0, 2, 2, 1, 3, 3, 0, 2, 0, 0, 0, 4, 2, 4, 4, 1, 1, 2, 3, 1, 0, 3, 3, 2, 3, 1, 1, 4, 0, 4, 2, 0, 0, 0, 0, 3, 1, 4, 2, 3, 4, 2, 4, 4, 3, 4, 2, 0, 3, 1, 2, 4, 0, 4, 1, 1, 0, 3, 2, 2, 4, 4, 3, 0, 1, 0, 0, 3, 3, 0, 1, 3, 2, 4, 2, 3, 3, 0, 0, 2, 3, 0, 2, 4, 3, 4, 4, 3, 0, 3, 4, 4, 2, 2, 3, 2, 4, 1, 1, 3, 2, 2, 3, 4, 4, 3, 3, 1, 3, 3, 1, 2, 3, 1, 3, 4, 4, 0, 1, 4, 1, 2, 4, 4, 0, 4, 3, 4, 2, 2, 3, 4, 1, 4, 0, 2, 4, 3, 4, 0, 1, 1, 2, 0, 1, 2, 4, 1, 0, 3, 3, 2, 0, 0, 2, 0, 0, 2, 4, 3, 0, 1, 2, 4, 1, 4, 2, 3, 0, 0, 0, 2, 0, 1, 4, 0, 2, 4, 2, 3, 2, 3, 3, 1, 2, 4, 0, 1, 2, 3, 4, 3, 2, 1, 0, 4, 4, 1, 2, 2, 0, 2, 3, 3, 3, 1, 4, 2, 0, 4, 3, 1, 1, 3, 4, 3, 1, 3, 3, 2, 0, 1, 2, 0, 2, 0, 4, 2, 0, 4, 4, 4, 2, 3, 3, 1, 3, 3, 4, 1, 4, 2, 2, 3, 4, 2, 1, 2, 4, 0, 0, 0, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 0, 1, 1, 3, 4, 1, 0, 1, 4, 2, 4, 0, 1, 4, 3, 1, 2, 1, 0, 1, 0, 2, 4, 3, 1, 4, 1, 3, 2, 0, 1, 4, 4, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 4, 0, 2, 4, 2, 1, 0, 4, 0, 3, 2, 0, 1, 1, 4, 3, 1, 3, 2, 4, 4, 2, 3, 2, 4, 2, 4, 2, 4, 0, 2, 0, 4, 3, 2, 4, 1, 2, 4, 0, 2, 0, 2, 3, 2, 1, 2, 4, 2, 1, 4, 1, 3, 3, 4, 0, 3, 3, 3, 1, 2, 1, 3, 4, 4, 0, 4, 4, 0, 0, 3, 4, 3, 3, 0, 0, 2, 0, 2, 4, 0, 1, 0] pubkeycol1683 = [3, 1, 3, 1, 3, 1, 1, 2, 0, 1, 3, 3, 3, 0, 1, 3, 0, 0, 1, 3, 3, 3, 2, 1, 2, 4, 0, 1, 4, 1, 2, 4, 0, 0, 2, 1, 4, 2, 0, 3, 3, 1, 2, 0, 1, 4, 0, 0, 1, 0, 2, 1, 3, 3, 2, 4, 1, 2, 2, 4, 0, 3, 1, 3, 1, 0, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 1, 3, 3, 4, 0, 3, 0, 2, 0, 3, 1, 4, 4, 3, 1, 4, 0, 3, 0, 2, 2, 0, 2, 1, 0, 2, 3, 0, 0, 3, 2, 2, 0, 4, 0, 2, 4, 1, 2, 4, 2, 1, 4, 1, 0, 2, 2, 2, 3, 4, 4, 2, 1, 3, 2, 0, 2, 2, 2, 3, 4, 4, 1, 0, 1, 0, 2, 0, 3, 1, 4, 3, 1, 4, 1, 4, 1, 4, 0, 3, 1, 2, 2, 0, 1, 4, 1, 3, 4, 2, 2, 0, 4, 0, 3, 1, 2, 2, 3, 0, 3, 1, 0, 3, 4, 3, 0, 0, 3, 1, 1, 2, 0, 3, 2, 2, 1, 1, 3, 4, 0, 2, 1, 3, 2, 1, 0, 1, 0, 1, 2, 0, 4, 2, 0, 4, 1, 4, 2, 4, 4, 1, 0, 3, 4, 0, 2, 4, 2, 3, 1, 4, 0, 4, 0, 4, 1, 4, 0, 0, 3, 1, 1, 3, 4, 0, 4, 2, 0, 0, 2, 0, 2, 0, 0, 3, 1, 2, 4, 3, 3, 1, 0, 3, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 0, 4, 3, 4, 1, 4, 2, 2, 3, 4, 2, 4, 0, 0, 3, 1, 0, 3, 2, 0, 0, 4, 1, 1, 2, 2, 0, 3, 4, 1, 3, 4, 2, 1, 4, 2, 2, 0, 1, 2, 4, 3, 1, 1, 0, 4, 0, 3, 3, 0, 4, 3, 0, 1, 0, 4, 2, 2, 0, 3, 2, 4, 4, 4, 4, 1, 1, 2, 1, 1, 4, 1, 1, 2, 1, 3, 0, 0, 1, 0, 4, 3, 4, 1, 1, 2, 1, 0, 4, 4, 4, 2, 3, 1, 4, 2, 4, 0, 1, 3, 2, 0, 1, 1, 1, 3, 1, 4, 3, 2, 4, 4, 0, 2, 0, 0, 1, 0, 3, 4, 0, 1, 4, 4, 0, 2, 2, 4, 3, 0, 2, 2, 1, 0, 1, 2, 2, 4, 1, 2, 3, 1, 3, 0, 2, 2, 2, 1, 2, 1, 0, 2, 4, 4, 2, 0, 1, 2, 3, 3, 4, 2, 2, 2, 0, 0, 4, 0, 1, 1, 0, 0, 4, 3, 4, 2, 1, 0, 3, 4, 4, 1, 3, 2, 2, 1, 3, 3, 2, 1, 4, 0, 1, 1, 4, 2, 1, 2, 1, 4, 3, 2, 4, 1, 1, 1, 0, 3] pubkeycol1684 = [3, 1, 0, 4, 1, 1, 3, 1, 4, 3, 2, 0, 0, 3, 3, 4, 3, 4, 3, 1, 3, 2, 0, 2, 2, 1, 3, 3, 2, 3, 2, 3, 1, 3, 0, 0, 3, 4, 2, 3, 1, 1, 1, 2, 4, 1, 0, 0, 4, 4, 1, 1, 0, 3, 4, 1, 3, 4, 3, 3, 3, 0, 1, 1, 2, 1, 3, 3, 4, 2, 3, 0, 0, 3, 2, 1, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 3, 0, 1, 3, 3, 0, 3, 1, 2, 1, 0, 1, 3, 4, 0, 1, 1, 4, 4, 4, 0, 4, 1, 4, 3, 0, 1, 0, 3, 1, 0, 1, 0, 2, 3, 4, 4, 3, 4, 1, 2, 0, 2, 2, 4, 2, 3, 2, 3, 4, 4, 4, 0, 0, 1, 3, 0, 4, 1, 4, 3, 3, 2, 0, 3, 2, 3, 0, 1, 1, 4, 0, 0, 0, 3, 1, 4, 4, 0, 4, 1, 4, 4, 3, 4, 4, 4, 0, 0, 1, 4, 1, 4, 1, 2, 3, 1, 3, 4, 0, 3, 1, 3, 3, 2, 0, 4, 1, 2, 2, 2, 3, 1, 4, 1, 1, 2, 2, 1, 4, 2, 3, 3, 2, 4, 0, 1, 4, 4, 1, 1, 2, 1, 2, 2, 4, 4, 4, 4, 3, 0, 4, 0, 3, 0, 2, 0, 0, 1, 1, 3, 2, 2, 0, 2, 2, 0, 4, 0, 0, 0, 2, 3, 3, 3, 4, 3, 4, 3, 4, 0, 3, 2, 3, 2, 3, 0, 3, 0, 3, 2, 3, 3, 4, 1, 2, 1, 4, 1, 3, 2, 0, 2, 1, 3, 2, 4, 3, 1, 3, 4, 3, 2, 2, 2, 3, 2, 4, 4, 3, 1, 0, 3, 0, 2, 1, 1, 0, 3, 4, 4, 2, 2, 3, 1, 2, 2, 2, 4, 0, 4, 2, 0, 2, 4, 3, 4, 1, 3, 1, 2, 1, 4, 1, 0, 4, 2, 0, 0, 0, 3, 2, 4, 1, 2, 2, 1, 2, 1, 2, 0, 2, 3, 0, 0, 1, 2, 4, 3, 0, 0, 4, 4, 3, 4, 3, 1, 1, 4, 3, 1, 1, 1, 2, 3, 2, 2, 2, 1, 4, 1, 1, 4, 2, 4, 1, 4, 4, 3, 4, 3, 0, 0, 3, 3, 2, 1, 1, 1, 2, 1, 1, 0, 2, 3, 1, 1, 0, 0, 3, 1, 1, 1, 0, 2, 0, 1, 4, 2, 1, 2, 3, 1, 0, 3, 0, 1, 4, 0, 1, 3, 4, 2, 4, 3, 4, 1, 0, 3, 2, 4, 1, 4, 3, 0, 0, 2, 3, 3, 4, 1, 0, 0, 1, 0, 1, 2, 3, 0, 4, 0, 4, 0, 0, 0, 3, 2, 1, 2, 0, 3, 1, 4, 1, 4, 3, 0, 0, 1, 2, 4, 4, 4, 0] pubkeycol1685 = [3, 4, 2, 1, 1, 1, 1, 3, 4, 2, 3, 2, 3, 0, 1, 4, 3, 4, 2, 4, 2, 2, 2, 4, 0, 2, 3, 4, 4, 3, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 0, 3, 4, 3, 4, 3, 1, 0, 1, 0, 2, 4, 0, 3, 4, 3, 3, 0, 1, 2, 2, 2, 4, 1, 1, 0, 0, 1, 0, 0, 1, 0, 4, 0, 0, 0, 0, 3, 4, 1, 1, 2, 4, 1, 2, 1, 2, 3, 3, 1, 2, 0, 2, 3, 1, 4, 2, 1, 0, 1, 2, 0, 2, 3, 3, 4, 2, 1, 2, 1, 2, 4, 3, 0, 0, 0, 1, 2, 4, 0, 4, 1, 0, 1, 3, 2, 0, 3, 1, 4, 0, 2, 4, 3, 3, 3, 2, 4, 2, 3, 2, 4, 3, 0, 3, 0, 1, 2, 2, 0, 4, 3, 0, 3, 1, 3, 3, 2, 1, 4, 1, 1, 4, 2, 0, 0, 3, 3, 1, 3, 4, 3, 3, 2, 1, 4, 0, 4, 3, 0, 3, 0, 1, 3, 3, 1, 0, 0, 4, 4, 1, 4, 3, 0, 0, 0, 0, 0, 1, 4, 1, 2, 1, 3, 2, 1, 4, 4, 1, 1, 1, 2, 1, 1, 3, 4, 3, 1, 2, 0, 3, 0, 4, 2, 0, 0, 3, 4, 2, 2, 3, 1, 1, 0, 4, 4, 2, 3, 4, 2, 4, 1, 0, 0, 3, 3, 4, 3, 0, 2, 4, 2, 3, 3, 3, 3, 2, 1, 3, 0, 3, 4, 2, 3, 2, 4, 0, 2, 3, 0, 0, 2, 4, 1, 4, 3, 4, 1, 4, 0, 1, 0, 1, 3, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 1, 2, 1, 0, 2, 4, 1, 0, 0, 2, 4, 1, 3, 4, 0, 3, 3, 2, 1, 4, 1, 4, 3, 4, 4, 4, 1, 3, 0, 0, 0, 1, 4, 0, 2, 0, 2, 1, 4, 3, 2, 0, 4, 4, 4, 0, 0, 4, 3, 2, 4, 3, 0, 0, 3, 0, 1, 4, 0, 0, 1, 4, 2, 4, 0, 2, 1, 0, 0, 4, 4, 2, 3, 3, 0, 3, 1, 3, 4, 2, 0, 2, 4, 3, 2, 4, 0, 4, 2, 3, 3, 4, 0, 4, 2, 4, 0, 4, 4, 3, 1, 0, 4, 1, 2, 2, 1, 2, 2, 4, 2, 1, 4, 0, 4, 2, 4, 0, 0, 1, 3, 1, 2, 3, 2, 4, 4, 3, 1, 1, 0, 4, 1, 2, 0, 1, 3, 1, 2, 3, 3, 4, 2, 4, 0, 0, 3, 1, 0, 1, 4, 1, 1, 3, 3, 0, 3, 2, 1, 1, 2, 1, 3, 3, 1, 1, 2, 2, 3, 2, 3, 3, 3, 1, 2, 0, 4, 4, 2, 0, 3, 0, 4, 0, 4, 4] pubkeycol1686 = [4, 4, 1, 3, 4, 4, 0, 2, 2, 3, 3, 0, 1, 4, 3, 4, 4, 0, 0, 2, 2, 4, 0, 1, 4, 3, 0, 1, 2, 0, 1, 3, 0, 0, 0, 3, 1, 1, 4, 3, 2, 3, 2, 1, 2, 3, 4, 4, 3, 4, 2, 1, 2, 3, 4, 0, 2, 4, 0, 3, 1, 1, 0, 1, 2, 2, 1, 4, 2, 2, 0, 2, 3, 1, 3, 2, 1, 4, 2, 4, 1, 4, 1, 3, 1, 2, 0, 0, 3, 2, 3, 1, 0, 0, 0, 0, 3, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 3, 1, 0, 2, 0, 0, 1, 3, 1, 3, 3, 2, 2, 3, 4, 1, 0, 3, 2, 2, 0, 2, 3, 4, 2, 0, 4, 3, 4, 3, 2, 1, 0, 1, 0, 1, 4, 2, 1, 3, 1, 3, 0, 4, 1, 3, 4, 3, 4, 4, 0, 2, 0, 0, 2, 4, 2, 3, 3, 1, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 4, 1, 1, 3, 0, 4, 2, 2, 1, 3, 0, 4, 4, 0, 3, 3, 1, 0, 2, 1, 4, 1, 4, 3, 0, 1, 0, 1, 3, 0, 0, 3, 1, 4, 4, 4, 0, 1, 0, 1, 1, 2, 3, 0, 4, 3, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 3, 2, 0, 3, 2, 4, 3, 0, 1, 3, 2, 4, 1, 0, 1, 0, 3, 3, 4, 1, 3, 2, 0, 0, 3, 0, 1, 2, 2, 2, 4, 2, 0, 0, 4, 4, 1, 0, 3, 0, 4, 3, 1, 2, 3, 1, 2, 0, 2, 0, 2, 3, 1, 3, 0, 1, 4, 2, 4, 1, 3, 1, 2, 0, 2, 2, 3, 2, 1, 2, 1, 4, 0, 4, 4, 2, 0, 4, 1, 2, 3, 0, 0, 2, 3, 3, 4, 0, 1, 3, 3, 1, 1, 2, 4, 4, 1, 4, 0, 1, 3, 1, 1, 3, 4, 0, 1, 3, 4, 1, 3, 3, 4, 3, 1, 1, 1, 1, 3, 3, 1, 3, 4, 1, 4, 0, 2, 3, 3, 1, 0, 1, 0, 0, 0, 3, 3, 4, 2, 1, 3, 1, 0, 0, 4, 1, 1, 1, 3, 4, 1, 3, 3, 3, 0, 1, 1, 3, 3, 0, 2, 3, 3, 0, 2, 3, 0, 4, 2, 1, 2, 1, 3, 2, 1, 2, 4, 4, 4, 0, 1, 4, 2, 2, 1, 4, 4, 3, 1, 1, 3, 4, 3, 3, 2, 0, 1, 2, 4, 4, 3, 3, 1, 2, 4, 0, 1, 3, 2, 3, 4, 0, 2, 1, 3, 4, 2, 4, 3, 2, 1, 0, 0, 3, 1, 4, 0, 0, 3, 3, 1, 2, 3, 4, 4, 3, 2, 1, 3, 1, 4, 0, 3, 4, 2, 1] pubkeycol1687 = [2, 4, 3, 1, 0, 0, 0, 4, 2, 4, 4, 0, 4, 0, 2, 3, 3, 4, 3, 3, 2, 1, 2, 0, 4, 1, 1, 0, 3, 1, 0, 0, 0, 4, 0, 4, 3, 0, 4, 2, 0, 4, 3, 2, 1, 1, 3, 3, 0, 1, 1, 0, 2, 3, 4, 0, 3, 3, 0, 2, 0, 2, 0, 4, 1, 2, 1, 2, 4, 4, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 3, 3, 4, 1, 4, 2, 3, 1, 0, 1, 2, 4, 2, 1, 1, 0, 1, 1, 4, 2, 1, 1, 3, 1, 0, 1, 4, 4, 4, 3, 4, 4, 1, 2, 0, 1, 0, 4, 1, 1, 1, 3, 3, 0, 2, 1, 1, 4, 1, 2, 3, 2, 4, 4, 4, 3, 4, 2, 0, 4, 4, 1, 3, 3, 1, 3, 2, 2, 4, 2, 2, 2, 1, 4, 3, 1, 2, 1, 3, 2, 1, 3, 3, 3, 0, 0, 3, 1, 3, 4, 1, 4, 0, 3, 1, 1, 2, 3, 3, 4, 4, 2, 2, 4, 4, 0, 0, 4, 1, 0, 4, 3, 0, 3, 3, 4, 2, 4, 1, 0, 4, 1, 4, 1, 2, 2, 2, 1, 1, 1, 1, 4, 4, 2, 0, 4, 2, 1, 1, 3, 0, 4, 3, 0, 2, 2, 0, 4, 0, 0, 2, 2, 1, 0, 2, 3, 0, 2, 4, 4, 2, 4, 2, 0, 0, 0, 3, 4, 1, 3, 2, 0, 2, 4, 2, 3, 3, 4, 2, 4, 0, 4, 1, 4, 3, 3, 1, 2, 0, 4, 4, 1, 4, 0, 0, 3, 2, 3, 4, 0, 3, 1, 2, 4, 1, 2, 4, 1, 1, 3, 1, 0, 0, 2, 4, 3, 1, 2, 3, 4, 0, 4, 4, 1, 1, 2, 4, 1, 2, 1, 4, 1, 4, 1, 1, 0, 3, 0, 2, 3, 3, 3, 0, 2, 3, 1, 1, 4, 2, 3, 0, 2, 4, 2, 2, 0, 0, 4, 0, 4, 0, 1, 2, 0, 1, 1, 4, 1, 4, 3, 3, 0, 4, 3, 1, 2, 0, 0, 3, 3, 1, 4, 1, 2, 3, 4, 0, 3, 3, 3, 1, 3, 3, 3, 0, 3, 3, 4, 1, 2, 3, 3, 1, 4, 1, 4, 2, 0, 3, 1, 0, 0, 3, 1, 0, 2, 3, 3, 4, 4, 2, 4, 4, 2, 2, 0, 1, 1, 4, 1, 1, 4, 2, 4, 2, 1, 1, 3, 3, 2, 2, 1, 0, 4, 3, 2, 1, 2, 0, 3, 1, 0, 3, 4, 3, 2, 3, 2, 2, 0, 2, 1, 1, 3, 0, 0, 4, 3, 2, 4, 3, 0, 3, 0, 1, 0, 3, 0, 1, 0, 0, 4, 3, 2, 1, 1, 4, 3, 2, 2, 2, 4, 2, 2, 1, 0, 2, 1, 4, 2] pubkeycol1688 = [4, 2, 2, 2, 3, 3, 3, 2, 3, 4, 0, 0, 4, 4, 4, 1, 2, 2, 2, 1, 3, 4, 2, 1, 0, 4, 0, 2, 1, 1, 3, 2, 2, 1, 0, 0, 1, 1, 3, 1, 4, 4, 3, 1, 3, 4, 2, 2, 3, 1, 4, 3, 1, 4, 0, 2, 2, 3, 4, 2, 3, 0, 1, 3, 2, 4, 2, 2, 1, 1, 3, 3, 2, 0, 1, 2, 3, 1, 1, 3, 1, 2, 0, 1, 4, 0, 2, 1, 4, 4, 3, 0, 2, 1, 2, 2, 4, 1, 0, 1, 2, 3, 0, 2, 2, 3, 3, 0, 3, 2, 4, 2, 4, 0, 0, 3, 0, 1, 1, 4, 1, 1, 3, 3, 4, 4, 0, 3, 4, 2, 1, 3, 1, 4, 1, 3, 2, 4, 1, 1, 2, 2, 0, 4, 3, 3, 1, 3, 2, 4, 2, 3, 1, 1, 4, 1, 0, 1, 0, 1, 2, 2, 4, 1, 3, 3, 1, 3, 4, 3, 3, 0, 2, 1, 0, 1, 2, 2, 3, 4, 3, 2, 0, 2, 3, 2, 2, 3, 0, 1, 2, 1, 0, 2, 2, 4, 4, 0, 1, 2, 3, 0, 2, 0, 1, 2, 0, 1, 3, 0, 1, 0, 2, 1, 2, 2, 1, 4, 0, 4, 3, 1, 1, 2, 2, 4, 3, 2, 0, 1, 1, 2, 2, 2, 3, 3, 1, 3, 3, 1, 3, 0, 2, 1, 0, 2, 3, 0, 0, 2, 1, 3, 3, 2, 3, 4, 0, 2, 0, 2, 2, 4, 0, 4, 3, 1, 0, 3, 1, 2, 4, 4, 1, 4, 2, 0, 0, 0, 4, 0, 0, 3, 4, 4, 3, 3, 0, 1, 3, 3, 4, 3, 1, 4, 4, 3, 2, 4, 4, 4, 3, 2, 1, 4, 4, 3, 0, 4, 0, 1, 2, 2, 1, 2, 4, 4, 1, 1, 4, 2, 4, 2, 3, 2, 0, 0, 1, 3, 1, 0, 2, 2, 4, 4, 3, 3, 2, 1, 1, 2, 4, 1, 4, 4, 3, 0, 3, 1, 2, 4, 2, 2, 3, 4, 3, 1, 3, 4, 0, 2, 1, 0, 2, 4, 3, 4, 3, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 4, 3, 3, 1, 4, 2, 3, 2, 1, 2, 4, 2, 2, 0, 0, 1, 0, 1, 2, 4, 0, 4, 1, 4, 3, 2, 4, 0, 4, 0, 1, 2, 4, 3, 4, 3, 2, 1, 1, 0, 1, 3, 0, 3, 4, 3, 3, 2, 1, 1, 1, 1, 3, 4, 0, 1, 1, 2, 1, 4, 3, 4, 4, 2, 4, 0, 1, 0, 0, 1, 1, 3, 3, 2, 2, 4, 4, 4, 1, 2, 3, 4, 2, 3, 4, 3, 4, 4, 4, 1, 2, 1, 1, 0, 2, 0, 1, 2, 4, 2, 4, 0, 4] pubkeycol1689 = [1, 4, 3, 1, 4, 2, 1, 0, 2, 1, 0, 0, 3, 0, 1, 0, 2, 3, 0, 3, 0, 2, 2, 0, 2, 2, 3, 4, 1, 4, 4, 0, 4, 1, 2, 0, 4, 4, 3, 2, 1, 2, 3, 0, 4, 3, 0, 1, 2, 4, 4, 1, 3, 3, 2, 2, 4, 2, 0, 4, 3, 3, 4, 2, 4, 0, 4, 0, 2, 1, 2, 0, 4, 0, 3, 2, 2, 1, 2, 0, 2, 1, 1, 3, 2, 2, 1, 2, 3, 0, 1, 3, 0, 2, 3, 4, 0, 2, 4, 4, 1, 3, 3, 1, 1, 1, 1, 3, 3, 4, 2, 1, 2, 3, 1, 0, 0, 0, 2, 1, 4, 3, 3, 1, 1, 2, 1, 0, 0, 0, 2, 3, 2, 1, 3, 4, 3, 1, 2, 4, 3, 2, 0, 4, 0, 3, 0, 0, 0, 4, 4, 2, 0, 4, 1, 2, 4, 3, 0, 1, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 1, 1, 3, 3, 3, 1, 4, 0, 1, 0, 2, 3, 0, 2, 0, 4, 4, 1, 1, 2, 3, 0, 4, 2, 3, 0, 1, 2, 4, 2, 3, 2, 1, 1, 1, 3, 1, 2, 2, 4, 0, 2, 0, 0, 4, 4, 2, 2, 4, 1, 3, 3, 0, 3, 3, 0, 1, 2, 3, 3, 3, 4, 0, 3, 1, 1, 1, 1, 3, 4, 4, 1, 4, 0, 3, 3, 3, 3, 1, 1, 2, 0, 2, 3, 0, 0, 2, 3, 3, 3, 2, 0, 4, 4, 3, 0, 1, 0, 0, 0, 3, 2, 1, 2, 0, 2, 3, 0, 4, 2, 0, 4, 3, 1, 4, 1, 1, 2, 4, 4, 1, 0, 4, 4, 1, 3, 4, 2, 0, 4, 1, 3, 4, 2, 1, 0, 1, 0, 0, 0, 0, 3, 3, 1, 4, 0, 0, 2, 4, 0, 1, 4, 2, 0, 0, 3, 0, 3, 2, 4, 2, 0, 4, 0, 3, 0, 4, 0, 2, 1, 2, 0, 2, 3, 3, 2, 2, 2, 4, 2, 3, 0, 2, 2, 0, 4, 3, 4, 0, 0, 3, 2, 0, 0, 0, 2, 4, 2, 4, 0, 4, 3, 1, 3, 0, 1, 3, 0, 3, 3, 4, 1, 4, 0, 1, 2, 1, 1, 4, 0, 4, 2, 0, 1, 0, 2, 3, 4, 0, 4, 4, 4, 2, 1, 3, 3, 3, 3, 4, 0, 3, 4, 1, 3, 2, 3, 0, 3, 1, 0, 0, 1, 4, 2, 0, 3, 4, 1, 4, 0, 0, 1, 2, 4, 4, 2, 3, 4, 2, 0, 4, 2, 4, 0, 3, 0, 0, 4, 2, 2, 0, 3, 0, 0, 4, 3, 1, 1, 1, 4, 0, 2, 0, 3, 0, 4, 4, 0, 3, 1, 1, 2, 3, 1, 3, 3, 2, 4, 0] pubkeycol1690 = [4, 2, 2, 3, 2, 0, 0, 0, 3, 0, 0, 4, 1, 4, 4, 0, 1, 4, 0, 4, 3, 0, 1, 3, 0, 4, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 4, 4, 3, 2, 2, 4, 4, 1, 0, 0, 4, 1, 2, 4, 1, 0, 1, 0, 4, 1, 0, 3, 0, 1, 4, 1, 2, 4, 2, 3, 1, 3, 3, 4, 0, 4, 2, 0, 4, 2, 3, 3, 4, 2, 4, 0, 2, 4, 0, 3, 4, 1, 1, 0, 4, 0, 0, 1, 3, 1, 3, 4, 4, 1, 0, 1, 4, 3, 2, 0, 1, 2, 0, 0, 2, 1, 4, 4, 3, 3, 2, 4, 3, 4, 2, 2, 2, 1, 0, 0, 2, 3, 4, 3, 0, 0, 4, 0, 4, 4, 2, 2, 1, 0, 1, 4, 0, 0, 0, 4, 3, 1, 3, 1, 1, 0, 0, 1, 4, 0, 2, 4, 0, 2, 3, 4, 3, 1, 0, 0, 3, 0, 0, 0, 1, 4, 4, 0, 4, 0, 1, 0, 0, 4, 1, 0, 1, 4, 3, 0, 0, 1, 1, 2, 0, 1, 2, 3, 0, 1, 1, 3, 2, 1, 0, 1, 3, 0, 3, 2, 2, 1, 0, 1, 2, 2, 4, 2, 2, 4, 4, 2, 4, 1, 2, 3, 3, 2, 3, 1, 2, 2, 4, 2, 2, 1, 0, 1, 4, 3, 1, 3, 4, 1, 2, 3, 2, 3, 3, 4, 1, 2, 3, 3, 0, 0, 1, 4, 3, 0, 0, 1, 4, 2, 1, 3, 0, 0, 2, 2, 0, 3, 0, 4, 2, 2, 1, 0, 1, 4, 1, 1, 3, 1, 2, 2, 1, 0, 3, 4, 4, 1, 0, 0, 2, 2, 4, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 4, 3, 4, 3, 3, 0, 4, 3, 2, 2, 3, 0, 3, 0, 1, 0, 2, 3, 4, 3, 2, 1, 2, 4, 3, 4, 1, 2, 3, 4, 4, 3, 1, 2, 2, 4, 0, 3, 1, 2, 2, 0, 4, 4, 4, 3, 0, 0, 1, 1, 3, 2, 0, 0, 2, 4, 0, 2, 4, 1, 4, 1, 1, 1, 1, 3, 3, 4, 0, 2, 1, 2, 3, 0, 4, 2, 4, 4, 2, 1, 2, 3, 3, 1, 1, 3, 2, 3, 4, 1, 0, 2, 2, 2, 0, 4, 0, 1, 4, 0, 2, 2, 4, 0, 2, 4, 0, 2, 0, 4, 2, 1, 1, 3, 1, 2, 3, 4, 4, 3, 0, 4, 2, 2, 1, 2, 4, 4, 2, 1, 4, 0, 2, 3, 2, 3, 4, 0, 1, 1, 0, 3, 1, 2, 3, 0, 4, 3, 3, 0, 3, 4, 4, 2, 2, 3, 1, 2, 4, 0, 1, 4, 3, 3, 2, 0, 3, 4, 0, 3, 3, 0, 0, 4, 0] pubkeycol1691 = [0, 1, 1, 3, 4, 0, 1, 0, 4, 4, 0, 1, 3, 3, 0, 4, 1, 4, 3, 1, 0, 2, 1, 2, 1, 3, 4, 0, 3, 4, 4, 1, 0, 1, 4, 3, 2, 2, 4, 1, 1, 4, 4, 0, 0, 3, 0, 3, 3, 1, 3, 4, 0, 4, 4, 0, 4, 2, 1, 3, 4, 4, 3, 2, 0, 4, 2, 0, 2, 0, 3, 4, 0, 3, 1, 4, 4, 2, 2, 2, 2, 2, 1, 4, 0, 4, 4, 1, 1, 1, 3, 1, 3, 2, 1, 4, 4, 2, 0, 2, 1, 2, 4, 1, 4, 0, 3, 3, 3, 2, 1, 0, 1, 1, 2, 3, 4, 3, 0, 4, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 1, 3, 3, 2, 0, 0, 0, 1, 3, 0, 2, 0, 3, 1, 2, 4, 2, 2, 4, 4, 3, 3, 0, 2, 3, 3, 4, 2, 0, 2, 2, 2, 0, 3, 4, 1, 2, 0, 1, 3, 0, 1, 0, 4, 0, 3, 3, 1, 0, 0, 4, 3, 1, 4, 3, 4, 0, 0, 2, 1, 4, 3, 4, 1, 0, 3, 3, 1, 1, 2, 2, 2, 4, 4, 1, 3, 2, 4, 3, 0, 2, 2, 4, 2, 3, 4, 4, 1, 0, 4, 3, 4, 2, 2, 1, 1, 4, 3, 3, 0, 2, 1, 0, 2, 4, 4, 0, 2, 3, 2, 1, 2, 2, 1, 4, 3, 2, 0, 2, 2, 4, 3, 3, 2, 0, 1, 3, 4, 2, 1, 3, 0, 0, 2, 0, 2, 2, 1, 4, 0, 1, 3, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 4, 3, 3, 0, 2, 3, 2, 1, 1, 0, 4, 3, 4, 2, 0, 1, 3, 2, 2, 4, 1, 4, 3, 1, 1, 1, 3, 1, 2, 3, 1, 2, 1, 0, 0, 3, 0, 2, 4, 0, 2, 2, 0, 0, 3, 2, 0, 4, 4, 4, 0, 3, 0, 0, 0, 3, 0, 2, 4, 4, 4, 0, 3, 4, 3, 0, 1, 1, 0, 2, 3, 3, 0, 0, 3, 4, 3, 2, 1, 0, 2, 0, 1, 3, 1, 3, 0, 2, 4, 1, 1, 3, 1, 0, 0, 1, 1, 3, 3, 4, 1, 4, 0, 1, 0, 1, 2, 4, 1, 3, 1, 2, 0, 2, 4, 3, 1, 3, 3, 0, 2, 0, 0, 2, 1, 4, 2, 1, 2, 4, 1, 4, 0, 1, 3, 0, 1, 4, 0, 1, 1, 2, 3, 4, 3, 1, 4, 1, 3, 2, 4, 1, 1, 0, 3, 0, 3, 4, 2, 4, 2, 4, 4, 4, 1, 3, 0, 2, 1, 1, 1, 1, 1, 0, 3, 1, 3, 4, 1, 4, 0, 1, 4, 0, 2, 1, 1, 1, 4, 1, 1, 2, 1, 1, 3, 3, 1] pubkeycol1692 = [3, 3, 4, 4, 4, 4, 1, 4, 2, 2, 4, 1, 0, 4, 3, 0, 2, 3, 1, 2, 4, 2, 4, 2, 4, 3, 3, 1, 2, 4, 0, 4, 1, 3, 2, 0, 3, 4, 2, 1, 3, 0, 2, 4, 3, 3, 2, 4, 4, 1, 1, 4, 4, 2, 3, 1, 1, 3, 0, 2, 2, 1, 2, 3, 0, 0, 4, 0, 4, 2, 2, 4, 4, 1, 1, 4, 1, 2, 2, 2, 3, 1, 2, 3, 0, 1, 1, 4, 4, 0, 4, 4, 3, 1, 0, 4, 1, 1, 2, 1, 2, 0, 3, 0, 4, 4, 1, 1, 3, 0, 2, 2, 0, 3, 2, 1, 4, 3, 2, 2, 4, 2, 0, 3, 3, 0, 3, 0, 3, 0, 4, 4, 1, 2, 0, 3, 2, 3, 2, 3, 2, 2, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 0, 2, 1, 1, 4, 0, 4, 1, 4, 2, 1, 0, 3, 0, 0, 4, 3, 3, 4, 4, 3, 0, 2, 4, 2, 1, 0, 2, 2, 4, 3, 4, 1, 2, 2, 4, 2, 4, 4, 1, 2, 2, 4, 4, 2, 3, 3, 3, 4, 1, 0, 4, 0, 2, 1, 3, 2, 3, 4, 3, 1, 3, 4, 2, 1, 1, 0, 4, 4, 0, 1, 2, 3, 4, 1, 4, 2, 0, 2, 0, 0, 2, 1, 1, 4, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 2, 1, 1, 4, 0, 3, 1, 2, 4, 4, 1, 4, 1, 4, 1, 2, 1, 1, 4, 3, 2, 2, 1, 3, 0, 2, 3, 1, 1, 0, 0, 4, 1, 2, 0, 4, 2, 4, 4, 4, 0, 3, 1, 3, 0, 0, 2, 3, 2, 2, 1, 0, 1, 2, 1, 1, 4, 0, 2, 1, 2, 0, 4, 0, 4, 1, 2, 2, 3, 1, 4, 2, 2, 2, 3, 1, 2, 4, 3, 1, 4, 3, 4, 2, 3, 0, 1, 0, 3, 1, 1, 4, 0, 2, 2, 3, 1, 2, 4, 3, 0, 0, 2, 4, 1, 4, 0, 3, 2, 2, 1, 1, 1, 4, 2, 2, 4, 2, 3, 0, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 4, 1, 0, 0, 0, 2, 4, 0, 3, 2, 1, 0, 1, 4, 1, 3, 0, 2, 0, 3, 3, 0, 4, 1, 0, 2, 2, 3, 1, 3, 0, 3, 4, 0, 3, 2, 3, 4, 4, 1, 0, 0, 2, 4, 3, 1, 2, 2, 4, 1, 4, 3, 1, 3, 3, 1, 0, 1, 1, 1, 2, 4, 1, 2, 4, 2, 3, 3, 0, 3, 4, 2, 3, 0, 4, 4, 2, 4, 4, 1, 3, 3, 3, 3, 3, 0, 4, 4, 0, 1, 1, 1, 1, 0, 1, 4, 1, 0, 3, 0, 0] pubkeycol1693 = [4, 3, 3, 4, 4, 3, 2, 2, 1, 1, 1, 3, 0, 1, 0, 1, 2, 1, 3, 4, 0, 1, 3, 0, 3, 1, 1, 4, 0, 2, 2, 2, 4, 4, 2, 4, 3, 0, 3, 4, 3, 4, 2, 2, 4, 2, 4, 2, 2, 2, 2, 3, 0, 3, 1, 2, 4, 4, 4, 1, 1, 4, 2, 2, 2, 4, 4, 4, 0, 2, 3, 2, 1, 4, 2, 2, 4, 1, 1, 3, 4, 4, 1, 1, 4, 4, 4, 2, 1, 3, 1, 1, 3, 1, 0, 2, 4, 3, 1, 4, 2, 2, 4, 1, 3, 0, 2, 1, 3, 2, 1, 1, 1, 3, 1, 3, 1, 0, 4, 2, 2, 3, 3, 1, 4, 4, 0, 0, 3, 3, 2, 3, 2, 3, 4, 0, 3, 2, 0, 0, 4, 0, 0, 3, 2, 0, 4, 4, 4, 2, 0, 2, 3, 0, 0, 1, 0, 1, 4, 0, 2, 4, 2, 0, 4, 1, 4, 2, 1, 0, 2, 1, 3, 4, 3, 3, 4, 3, 2, 4, 0, 3, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 1, 4, 1, 2, 2, 2, 3, 4, 3, 2, 1, 3, 0, 2, 0, 1, 3, 0, 3, 1, 4, 0, 1, 0, 0, 1, 2, 3, 4, 4, 0, 1, 2, 4, 2, 0, 0, 3, 4, 1, 3, 3, 3, 0, 3, 2, 4, 3, 4, 1, 0, 3, 2, 4, 3, 1, 4, 2, 2, 0, 0, 2, 0, 0, 3, 0, 0, 3, 0, 4, 2, 1, 1, 3, 1, 4, 2, 2, 0, 2, 3, 2, 4, 3, 2, 2, 4, 1, 0, 2, 3, 0, 1, 0, 1, 0, 0, 0, 1, 2, 4, 3, 3, 1, 3, 3, 4, 2, 0, 0, 2, 0, 4, 1, 0, 1, 3, 1, 2, 0, 2, 1, 4, 1, 4, 2, 1, 3, 4, 0, 3, 2, 0, 3, 4, 3, 1, 0, 3, 1, 0, 4, 2, 3, 2, 4, 4, 2, 1, 4, 4, 4, 1, 0, 4, 2, 0, 0, 4, 0, 0, 4, 0, 2, 0, 4, 0, 2, 0, 2, 1, 0, 4, 3, 1, 3, 1, 2, 4, 2, 1, 1, 3, 1, 2, 0, 4, 4, 1, 4, 0, 0, 0, 4, 0, 4, 2, 3, 3, 1, 2, 0, 4, 1, 4, 3, 0, 0, 0, 0, 4, 1, 0, 4, 0, 3, 1, 4, 4, 0, 4, 0, 3, 1, 0, 0, 4, 3, 4, 0, 4, 2, 4, 4, 1, 0, 0, 0, 4, 0, 4, 0, 0, 4, 3, 1, 3, 4, 4, 4, 1, 0, 4, 2, 1, 2, 1, 2, 3, 1, 3, 3, 2, 4, 4, 4, 1, 1, 4, 3, 2, 0, 4, 4, 0, 0, 2, 3, 0, 2, 1, 4, 1, 0, 1, 0, 2, 4] pubkeycol1694 = [0, 4, 2, 0, 2, 3, 0, 1, 4, 1, 0, 1, 0, 1, 0, 2, 4, 1, 0, 1, 1, 3, 1, 4, 3, 2, 3, 4, 3, 1, 0, 3, 0, 4, 0, 4, 3, 2, 3, 4, 3, 1, 1, 0, 4, 3, 0, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 3, 4, 1, 1, 1, 4, 0, 2, 3, 3, 1, 0, 3, 0, 1, 4, 0, 2, 2, 4, 2, 0, 0, 2, 4, 1, 3, 4, 4, 4, 2, 2, 1, 0, 3, 2, 0, 1, 3, 1, 2, 0, 3, 3, 0, 2, 2, 2, 2, 0, 3, 1, 4, 2, 2, 3, 3, 4, 1, 3, 1, 1, 2, 1, 3, 4, 1, 4, 1, 3, 0, 1, 0, 2, 0, 2, 1, 2, 0, 4, 4, 3, 0, 0, 3, 0, 1, 1, 4, 4, 2, 2, 3, 4, 2, 3, 2, 3, 4, 4, 4, 0, 2, 1, 0, 1, 2, 3, 4, 1, 2, 0, 2, 4, 2, 3, 3, 2, 3, 2, 4, 4, 1, 2, 3, 3, 4, 1, 2, 4, 3, 1, 4, 2, 0, 3, 4, 0, 4, 3, 3, 3, 4, 0, 3, 0, 2, 2, 2, 2, 0, 0, 0, 0, 4, 2, 4, 1, 4, 4, 3, 0, 1, 4, 3, 2, 2, 1, 4, 4, 3, 2, 0, 0, 3, 2, 4, 4, 4, 3, 3, 1, 3, 0, 0, 0, 1, 4, 1, 4, 4, 0, 1, 4, 2, 4, 1, 2, 1, 2, 1, 1, 1, 3, 4, 4, 3, 1, 3, 4, 0, 0, 0, 0, 3, 0, 3, 1, 3, 0, 4, 4, 2, 0, 4, 2, 0, 3, 0, 1, 0, 0, 3, 3, 2, 3, 3, 2, 1, 4, 0, 4, 2, 2, 3, 3, 1, 1, 1, 0, 1, 4, 2, 0, 2, 0, 2, 2, 4, 0, 4, 4, 2, 4, 0, 1, 4, 1, 3, 2, 3, 2, 2, 4, 2, 1, 4, 2, 1, 3, 1, 1, 0, 1, 3, 0, 0, 0, 4, 3, 3, 0, 3, 3, 1, 0, 4, 2, 4, 2, 3, 4, 4, 0, 3, 3, 4, 4, 2, 4, 4, 4, 2, 2, 2, 0, 2, 0, 1, 4, 2, 4, 0, 2, 0, 2, 4, 0, 0, 2, 3, 3, 2, 0, 3, 0, 0, 4, 0, 2, 0, 0, 4, 2, 3, 4, 0, 3, 2, 3, 2, 0, 4, 2, 1, 1, 1, 1, 2, 1, 2, 4, 2, 0, 3, 3, 1, 3, 2, 2, 2, 4, 2, 0, 4, 0, 4, 0, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 1, 2, 0, 3, 2, 2, 2, 3, 4, 2, 4, 0, 4, 2, 2, 0, 3, 0, 4, 0, 2, 2, 3, 1, 0, 3, 4, 0, 0, 4, 2, 1, 4, 3] pubkeycol1695 = [3, 1, 3, 2, 3, 0, 3, 2, 4, 1, 0, 4, 0, 2, 2, 0, 0, 1, 1, 1, 3, 1, 0, 1, 0, 1, 1, 4, 2, 1, 1, 2, 4, 2, 0, 4, 0, 2, 2, 3, 1, 1, 3, 1, 1, 1, 3, 0, 0, 2, 1, 0, 4, 0, 0, 2, 2, 4, 2, 3, 1, 0, 0, 3, 0, 3, 1, 2, 2, 4, 0, 0, 2, 3, 3, 0, 3, 3, 3, 2, 4, 2, 3, 4, 3, 4, 2, 3, 1, 2, 0, 4, 4, 4, 2, 3, 1, 0, 0, 1, 2, 4, 0, 2, 4, 3, 2, 4, 0, 1, 4, 4, 0, 4, 1, 0, 3, 0, 4, 1, 3, 4, 0, 1, 4, 4, 3, 4, 3, 1, 0, 1, 2, 3, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 4, 2, 1, 0, 2, 2, 4, 0, 0, 4, 3, 1, 4, 3, 3, 3, 4, 2, 4, 4, 2, 0, 0, 2, 4, 0, 1, 2, 4, 1, 2, 3, 3, 1, 1, 2, 2, 0, 3, 4, 0, 3, 1, 3, 3, 4, 0, 0, 0, 1, 0, 0, 2, 4, 1, 2, 3, 3, 1, 1, 2, 1, 2, 2, 2, 1, 3, 1, 4, 1, 0, 3, 3, 3, 4, 1, 4, 4, 4, 4, 4, 0, 3, 2, 1, 2, 2, 0, 0, 1, 4, 1, 4, 0, 2, 1, 2, 0, 3, 1, 0, 1, 4, 3, 0, 3, 2, 1, 4, 0, 1, 4, 0, 3, 2, 3, 3, 3, 1, 0, 3, 2, 4, 1, 3, 3, 3, 4, 0, 3, 4, 2, 2, 3, 0, 1, 0, 1, 4, 2, 0, 0, 2, 3, 0, 3, 3, 0, 2, 2, 3, 2, 3, 3, 3, 2, 2, 3, 0, 1, 3, 2, 4, 3, 3, 4, 0, 1, 0, 0, 3, 4, 0, 0, 0, 0, 4, 2, 2, 0, 2, 3, 2, 4, 0, 1, 4, 4, 2, 3, 3, 4, 2, 2, 2, 0, 2, 0, 2, 4, 0, 2, 0, 4, 2, 0, 0, 2, 4, 4, 1, 4, 4, 0, 4, 3, 2, 4, 0, 1, 4, 2, 0, 2, 1, 1, 3, 1, 1, 3, 4, 1, 3, 0, 3, 3, 4, 2, 0, 4, 3, 3, 3, 1, 2, 2, 3, 4, 4, 3, 4, 4, 3, 1, 4, 2, 4, 2, 4, 1, 2, 0, 2, 4, 4, 2, 4, 3, 3, 3, 1, 2, 4, 3, 0, 4, 1, 1, 2, 3, 2, 3, 4, 3, 0, 4, 4, 1, 0, 1, 0, 4, 0, 2, 0, 2, 2, 3, 0, 3, 2, 0, 1, 4, 4, 3, 4, 1, 1, 2, 3, 1, 4, 0, 2, 0, 2, 4, 1, 0, 3, 0, 3, 1, 3, 1, 4, 0, 0, 0, 0, 1, 4, 3] pubkeycol1696 = [0, 3, 0, 4, 2, 1, 4, 2, 1, 2, 3, 1, 2, 1, 1, 0, 2, 3, 1, 3, 4, 1, 1, 2, 2, 3, 0, 4, 3, 0, 1, 1, 2, 0, 4, 2, 4, 0, 2, 0, 3, 1, 2, 0, 2, 4, 0, 1, 3, 1, 2, 4, 3, 4, 0, 4, 1, 2, 3, 4, 2, 0, 1, 0, 3, 3, 2, 1, 2, 3, 0, 1, 0, 0, 4, 0, 4, 4, 3, 2, 2, 4, 1, 2, 3, 2, 0, 1, 3, 2, 3, 0, 4, 1, 2, 4, 0, 3, 3, 2, 3, 2, 0, 3, 1, 1, 2, 4, 2, 3, 0, 1, 3, 3, 0, 2, 4, 2, 4, 0, 1, 4, 4, 0, 3, 4, 2, 3, 0, 3, 2, 4, 1, 2, 3, 4, 0, 0, 3, 0, 3, 4, 4, 4, 1, 1, 3, 4, 4, 3, 2, 2, 0, 3, 1, 0, 2, 1, 4, 1, 1, 3, 4, 2, 0, 1, 4, 4, 1, 2, 3, 3, 2, 1, 1, 3, 2, 3, 0, 3, 0, 3, 1, 1, 4, 2, 2, 0, 2, 2, 4, 4, 0, 4, 3, 4, 0, 4, 3, 0, 4, 4, 3, 0, 3, 0, 3, 1, 4, 1, 0, 2, 0, 0, 4, 3, 3, 1, 3, 4, 4, 0, 3, 1, 0, 4, 0, 0, 3, 4, 3, 4, 1, 4, 2, 3, 0, 0, 0, 4, 4, 4, 1, 4, 1, 4, 2, 4, 4, 4, 1, 1, 4, 2, 2, 0, 4, 3, 3, 3, 3, 2, 1, 1, 3, 1, 2, 2, 2, 4, 4, 1, 3, 0, 2, 4, 1, 0, 4, 3, 0, 2, 0, 0, 2, 1, 1, 0, 1, 4, 4, 3, 4, 1, 4, 3, 3, 4, 2, 2, 0, 2, 3, 2, 4, 3, 4, 4, 1, 2, 1, 0, 0, 2, 2, 4, 1, 1, 0, 2, 2, 4, 3, 3, 0, 0, 4, 3, 3, 3, 2, 3, 0, 1, 4, 1, 1, 2, 0, 2, 2, 1, 1, 4, 4, 3, 0, 0, 0, 0, 2, 3, 4, 0, 4, 0, 3, 1, 0, 3, 1, 1, 0, 4, 0, 3, 0, 1, 0, 1, 4, 2, 2, 3, 1, 2, 1, 0, 1, 4, 1, 0, 1, 2, 2, 1, 3, 0, 1, 4, 4, 1, 4, 0, 4, 2, 0, 1, 1, 4, 4, 2, 0, 3, 0, 2, 0, 4, 4, 0, 3, 4, 4, 3, 2, 0, 1, 4, 3, 0, 3, 3, 2, 2, 2, 3, 1, 3, 1, 1, 1, 2, 3, 3, 2, 0, 2, 2, 2, 1, 2, 4, 1, 2, 3, 0, 0, 0, 3, 3, 2, 1, 0, 3, 3, 4, 2, 2, 0, 2, 2, 1, 2, 3, 1, 4, 2, 0, 1, 1, 4, 3, 4, 4, 3, 1, 4, 1, 3, 2] pubkeycol1697 = [1, 3, 4, 1, 2, 2, 2, 1, 2, 4, 1, 2, 0, 2, 4, 2, 2, 2, 1, 4, 1, 4, 0, 2, 4, 1, 1, 1, 2, 4, 2, 0, 0, 0, 4, 4, 2, 2, 3, 4, 0, 4, 4, 1, 3, 1, 4, 4, 4, 0, 3, 2, 1, 1, 0, 0, 3, 3, 0, 3, 1, 1, 2, 2, 3, 2, 3, 4, 2, 4, 1, 0, 0, 0, 0, 4, 0, 3, 0, 0, 2, 0, 0, 1, 4, 4, 3, 3, 3, 0, 0, 1, 2, 4, 3, 0, 3, 3, 3, 0, 3, 4, 2, 3, 3, 2, 4, 0, 2, 0, 4, 4, 0, 2, 4, 1, 4, 2, 0, 4, 0, 3, 2, 4, 1, 1, 4, 4, 0, 1, 0, 4, 3, 0, 2, 1, 2, 2, 4, 1, 0, 2, 4, 0, 2, 2, 4, 2, 3, 4, 3, 4, 0, 1, 1, 0, 2, 1, 0, 1, 4, 3, 3, 0, 0, 4, 4, 2, 4, 1, 2, 2, 1, 3, 3, 0, 1, 1, 0, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 0, 1, 2, 3, 1, 0, 4, 0, 4, 1, 3, 1, 4, 1, 0, 3, 1, 1, 0, 4, 2, 3, 2, 4, 4, 4, 0, 1, 4, 1, 2, 4, 3, 0, 1, 1, 2, 4, 1, 0, 4, 2, 1, 1, 1, 2, 0, 1, 1, 3, 1, 0, 1, 1, 0, 0, 1, 4, 2, 2, 3, 1, 2, 3, 4, 4, 0, 4, 0, 4, 1, 3, 1, 1, 1, 3, 2, 1, 1, 4, 2, 0, 2, 2, 1, 0, 3, 4, 3, 1, 0, 4, 1, 2, 0, 1, 0, 2, 1, 3, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 3, 4, 0, 4, 3, 4, 2, 2, 3, 1, 3, 1, 3, 2, 4, 2, 0, 0, 2, 0, 0, 2, 4, 1, 2, 0, 2, 2, 4, 0, 2, 0, 4, 0, 2, 4, 0, 4, 4, 2, 3, 0, 4, 4, 0, 1, 0, 4, 3, 4, 0, 0, 4, 2, 0, 1, 2, 2, 2, 2, 3, 0, 1, 3, 3, 3, 1, 0, 2, 0, 0, 2, 1, 2, 1, 3, 0, 0, 0, 4, 4, 0, 2, 4, 2, 1, 3, 1, 4, 4, 4, 2, 3, 2, 3, 2, 4, 1, 2, 2, 1, 1, 1, 3, 0, 1, 2, 4, 3, 1, 2, 3, 4, 2, 1, 0, 4, 1, 2, 1, 0, 3, 4, 1, 3, 0, 4, 0, 3, 0, 4, 3, 2, 2, 3, 0, 2, 4, 0, 3, 2, 3, 3, 4, 2, 1, 1, 0, 0, 0, 4, 3, 0, 0, 0, 2, 2, 1, 4, 3, 1, 0, 3, 4, 3, 1, 3, 4, 3, 4, 0, 1, 1, 2, 3, 3, 2, 1, 2] pubkeycol1698 = [0, 1, 3, 2, 1, 4, 2, 0, 0, 0, 3, 4, 0, 2, 1, 0, 4, 0, 1, 3, 4, 2, 0, 3, 0, 4, 1, 3, 1, 4, 3, 3, 0, 3, 0, 0, 4, 2, 4, 0, 3, 4, 2, 3, 0, 1, 4, 3, 1, 0, 0, 3, 4, 4, 3, 1, 0, 1, 0, 1, 1, 4, 0, 4, 2, 3, 1, 3, 1, 1, 4, 0, 4, 2, 3, 1, 1, 0, 1, 1, 2, 3, 4, 2, 4, 4, 0, 4, 2, 3, 3, 2, 3, 1, 0, 0, 0, 0, 1, 3, 2, 0, 3, 0, 4, 2, 3, 3, 0, 1, 1, 1, 4, 0, 4, 4, 3, 1, 4, 2, 4, 1, 1, 0, 0, 0, 0, 4, 1, 3, 3, 2, 1, 1, 0, 4, 4, 2, 0, 3, 0, 2, 3, 0, 2, 0, 3, 2, 1, 2, 3, 0, 4, 2, 2, 4, 4, 0, 4, 0, 4, 1, 0, 3, 4, 1, 0, 2, 3, 4, 2, 3, 3, 4, 0, 3, 3, 0, 1, 3, 0, 3, 0, 1, 4, 1, 1, 2, 2, 3, 2, 3, 1, 3, 4, 4, 3, 3, 0, 1, 3, 2, 2, 3, 1, 3, 4, 1, 1, 2, 1, 1, 1, 1, 3, 0, 1, 3, 4, 4, 1, 3, 0, 2, 2, 4, 2, 4, 1, 0, 1, 4, 2, 3, 3, 3, 3, 0, 3, 0, 0, 2, 1, 2, 3, 2, 0, 1, 3, 0, 0, 2, 0, 1, 0, 2, 3, 4, 1, 2, 3, 2, 0, 2, 0, 0, 1, 3, 0, 1, 1, 0, 1, 2, 3, 1, 0, 4, 3, 1, 2, 2, 4, 0, 4, 0, 4, 4, 1, 1, 3, 3, 1, 3, 3, 0, 0, 3, 0, 4, 3, 0, 1, 4, 4, 3, 3, 1, 3, 2, 2, 2, 4, 4, 0, 1, 3, 3, 1, 4, 2, 1, 3, 2, 1, 1, 1, 0, 4, 2, 4, 3, 0, 0, 1, 2, 0, 2, 4, 0, 2, 4, 0, 0, 3, 1, 3, 0, 0, 2, 3, 2, 0, 3, 3, 4, 1, 3, 2, 2, 2, 1, 3, 0, 3, 1, 1, 3, 2, 4, 2, 0, 0, 3, 2, 3, 3, 3, 1, 2, 0, 0, 3, 4, 0, 4, 3, 4, 4, 2, 4, 3, 0, 1, 2, 4, 0, 1, 0, 4, 0, 2, 1, 4, 2, 2, 1, 3, 1, 4, 2, 3, 4, 4, 1, 2, 0, 4, 2, 0, 3, 4, 0, 2, 0, 1, 0, 4, 4, 4, 2, 4, 2, 1, 0, 1, 3, 3, 4, 4, 1, 1, 1, 1, 1, 3, 0, 3, 0, 0, 1, 0, 1, 2, 3, 3, 3, 0, 0, 3, 3, 2, 4, 2, 1, 3, 2, 2, 2, 4, 0, 4, 4, 0, 4, 2, 4, 1, 2, 0] pubkeycol1699 = [2, 1, 0, 1, 3, 2, 2, 2, 1, 3, 4, 1, 0, 3, 2, 2, 0, 0, 4, 4, 2, 0, 2, 2, 0, 0, 3, 1, 3, 3, 2, 1, 4, 3, 1, 1, 0, 4, 1, 0, 1, 3, 3, 4, 1, 2, 1, 1, 3, 2, 1, 3, 1, 2, 2, 4, 1, 1, 4, 1, 1, 4, 1, 0, 3, 2, 1, 0, 0, 0, 2, 1, 0, 3, 0, 1, 2, 1, 4, 0, 4, 2, 4, 2, 2, 1, 1, 1, 2, 0, 3, 0, 1, 1, 3, 2, 3, 0, 4, 4, 1, 4, 1, 0, 2, 1, 0, 3, 4, 2, 0, 2, 3, 0, 0, 0, 4, 4, 2, 2, 0, 0, 2, 1, 4, 4, 0, 0, 3, 3, 0, 3, 1, 1, 4, 2, 0, 0, 2, 2, 0, 4, 3, 3, 2, 3, 3, 4, 2, 2, 3, 2, 1, 1, 0, 3, 0, 1, 1, 3, 1, 1, 0, 1, 3, 2, 2, 0, 2, 2, 3, 3, 4, 1, 0, 1, 1, 2, 3, 2, 2, 3, 2, 4, 0, 1, 0, 1, 4, 1, 0, 1, 2, 1, 3, 0, 0, 0, 2, 1, 0, 3, 3, 1, 4, 2, 3, 3, 0, 1, 4, 3, 3, 4, 4, 0, 1, 0, 2, 2, 1, 2, 0, 3, 4, 2, 0, 4, 4, 4, 3, 4, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 4, 3, 4, 4, 0, 0, 0, 4, 0, 0, 1, 4, 1, 0, 3, 3, 3, 0, 4, 1, 1, 4, 2, 4, 3, 3, 2, 2, 0, 4, 0, 3, 2, 4, 2, 4, 0, 1, 4, 0, 0, 3, 0, 4, 3, 2, 1, 3, 4, 4, 2, 2, 1, 1, 4, 4, 3, 0, 3, 0, 1, 2, 1, 4, 2, 4, 4, 2, 1, 2, 1, 3, 4, 0, 2, 4, 2, 3, 0, 1, 0, 1, 0, 4, 4, 0, 2, 1, 3, 0, 2, 4, 4, 1, 2, 0, 3, 0, 1, 4, 1, 4, 2, 4, 0, 0, 2, 4, 0, 1, 1, 0, 2, 4, 1, 2, 3, 3, 4, 4, 1, 1, 3, 1, 4, 4, 0, 3, 4, 2, 3, 1, 0, 0, 0, 0, 4, 4, 3, 2, 1, 2, 4, 2, 4, 3, 2, 1, 4, 4, 3, 4, 3, 0, 4, 0, 1, 0, 4, 2, 3, 0, 0, 4, 0, 1, 4, 1, 0, 0, 1, 2, 1, 4, 1, 2, 2, 3, 2, 4, 2, 1, 0, 3, 2, 4, 3, 4, 2, 3, 4, 1, 2, 4, 3, 2, 4, 1, 3, 1, 0, 4, 2, 1, 2, 1, 3, 3, 3, 3, 4, 2, 2, 0, 4, 0, 3, 1, 0, 3, 0, 2, 2, 0, 1, 1, 3, 1, 4, 3, 0, 0, 4, 2, 1, 2, 4, 1] pubkeycol1700 = [2, 1, 4, 3, 3, 2, 0, 2, 4, 3, 2, 4, 2, 2, 4, 4, 3, 4, 4, 1, 1, 2, 4, 1, 1, 3, 1, 2, 2, 1, 4, 2, 2, 2, 0, 4, 0, 1, 3, 3, 4, 4, 4, 1, 0, 2, 2, 0, 3, 4, 2, 4, 3, 2, 4, 3, 1, 3, 4, 0, 0, 0, 4, 0, 3, 4, 2, 3, 1, 0, 1, 0, 4, 1, 3, 1, 3, 2, 3, 1, 4, 3, 4, 4, 2, 1, 1, 3, 1, 4, 0, 0, 3, 4, 0, 0, 0, 4, 0, 3, 0, 0, 1, 2, 4, 2, 4, 0, 0, 3, 2, 2, 2, 4, 1, 1, 3, 2, 1, 4, 0, 4, 0, 1, 0, 0, 0, 0, 1, 3, 0, 3, 2, 1, 3, 4, 0, 4, 4, 1, 1, 1, 3, 4, 0, 1, 1, 0, 4, 4, 4, 1, 0, 0, 4, 0, 2, 1, 1, 1, 0, 3, 0, 4, 4, 2, 1, 3, 0, 3, 4, 3, 0, 0, 1, 2, 1, 3, 3, 0, 3, 1, 0, 2, 2, 3, 3, 2, 4, 4, 2, 3, 0, 0, 4, 1, 4, 3, 2, 0, 2, 0, 4, 4, 0, 4, 4, 3, 3, 0, 3, 3, 0, 3, 2, 3, 4, 1, 2, 3, 0, 2, 1, 0, 1, 0, 0, 2, 3, 0, 1, 0, 4, 4, 3, 3, 4, 0, 3, 2, 1, 4, 0, 4, 2, 2, 4, 0, 1, 4, 4, 0, 3, 2, 1, 0, 1, 1, 4, 1, 1, 1, 4, 3, 4, 1, 2, 1, 4, 0, 1, 3, 2, 2, 0, 1, 0, 3, 2, 2, 1, 3, 2, 2, 0, 3, 4, 3, 1, 3, 1, 2, 1, 1, 4, 1, 0, 3, 0, 3, 1, 1, 3, 2, 4, 0, 0, 3, 0, 1, 4, 4, 4, 3, 2, 4, 0, 0, 4, 3, 0, 1, 2, 0, 1, 1, 0, 2, 1, 4, 0, 1, 1, 0, 0, 4, 2, 1, 1, 1, 3, 2, 4, 3, 3, 1, 3, 1, 2, 1, 2, 2, 1, 1, 1, 1, 3, 1, 0, 3, 2, 2, 2, 2, 3, 4, 3, 3, 0, 0, 3, 1, 0, 3, 2, 4, 0, 1, 4, 1, 0, 2, 1, 0, 3, 3, 0, 2, 1, 0, 0, 4, 0, 3, 1, 0, 4, 2, 3, 4, 3, 0, 2, 4, 0, 1, 3, 1, 2, 2, 3, 2, 0, 1, 0, 3, 1, 0, 3, 3, 0, 0, 0, 2, 3, 2, 3, 3, 0, 2, 2, 1, 4, 3, 2, 1, 2, 4, 4, 1, 0, 1, 0, 0, 2, 4, 4, 1, 4, 0, 1, 0, 1, 0, 2, 3, 4, 2, 4, 3, 2, 0, 3, 2, 0, 2, 1, 1, 4, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2, 1] pubkeycol1701 = [4, 3, 4, 0, 2, 3, 1, 4, 4, 4, 0, 4, 0, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 0, 4, 2, 3, 2, 0, 3, 3, 1, 0, 1, 2, 2, 0, 2, 4, 4, 2, 2, 4, 1, 3, 3, 4, 3, 0, 3, 0, 0, 1, 0, 3, 3, 4, 0, 1, 0, 3, 0, 1, 3, 2, 1, 2, 1, 1, 1, 3, 4, 4, 4, 3, 0, 3, 3, 1, 0, 4, 1, 3, 4, 3, 3, 2, 1, 2, 1, 2, 4, 0, 1, 3, 3, 2, 2, 2, 2, 0, 0, 1, 2, 0, 4, 4, 1, 1, 0, 3, 2, 1, 2, 1, 0, 1, 2, 2, 3, 3, 2, 4, 2, 1, 0, 4, 2, 4, 1, 4, 4, 2, 2, 0, 1, 3, 2, 4, 0, 1, 3, 2, 3, 2, 3, 2, 4, 2, 0, 3, 1, 2, 0, 3, 0, 4, 2, 4, 4, 4, 2, 2, 3, 4, 3, 3, 1, 4, 2, 2, 0, 4, 3, 2, 4, 0, 4, 3, 0, 1, 4, 3, 2, 1, 2, 0, 1, 3, 2, 3, 3, 4, 2, 3, 2, 2, 2, 4, 0, 3, 3, 0, 0, 1, 3, 0, 3, 0, 4, 3, 2, 3, 1, 4, 0, 2, 2, 4, 2, 2, 4, 3, 3, 4, 4, 2, 1, 1, 1, 3, 2, 1, 3, 4, 2, 1, 2, 4, 3, 3, 3, 4, 4, 4, 0, 3, 4, 2, 0, 3, 3, 1, 0, 4, 3, 2, 0, 2, 4, 0, 3, 3, 4, 1, 3, 0, 2, 2, 2, 4, 4, 2, 3, 2, 2, 2, 4, 3, 0, 4, 3, 0, 1, 3, 4, 4, 2, 0, 0, 1, 0, 4, 2, 0, 1, 4, 2, 2, 3, 2, 2, 4, 2, 0, 2, 0, 3, 3, 3, 1, 0, 3, 2, 3, 4, 4, 0, 2, 0, 3, 4, 0, 0, 0, 2, 2, 3, 1, 0, 3, 0, 2, 0, 4, 4, 4, 3, 2, 1, 1, 2, 3, 2, 0, 1, 2, 2, 0, 2, 3, 4, 1, 0, 2, 2, 2, 0, 2, 1, 4, 3, 1, 1, 4, 1, 4, 3, 1, 3, 4, 0, 4, 2, 4, 4, 1, 2, 0, 0, 2, 3, 4, 3, 2, 4, 0, 3, 1, 0, 0, 4, 3, 1, 2, 1, 2, 1, 3, 4, 1, 1, 3, 2, 3, 2, 1, 4, 3, 4, 0, 3, 1, 0, 4, 4, 1, 4, 3, 0, 3, 4, 4, 3, 1, 2, 1, 4, 0, 0, 4, 0, 1, 4, 2, 0, 2, 1, 3, 3, 4, 0, 1, 2, 2, 3, 1, 1, 3, 0, 3, 0, 2, 3, 2, 2, 1, 1, 0, 3, 4, 3, 4, 2, 2, 2, 4, 3, 0, 0, 4, 3, 3, 4, 2, 0, 4, 0, 3, 1] pubkeycol1702 = [3, 2, 3, 3, 4, 4, 0, 3, 0, 3, 3, 3, 2, 2, 4, 3, 2, 4, 2, 0, 1, 4, 4, 0, 4, 4, 4, 1, 3, 4, 1, 2, 1, 2, 2, 3, 1, 4, 0, 3, 2, 2, 2, 1, 4, 1, 1, 1, 2, 2, 3, 4, 2, 0, 4, 3, 1, 3, 0, 3, 1, 3, 2, 3, 4, 1, 2, 4, 4, 4, 4, 4, 0, 4, 0, 2, 4, 3, 3, 1, 4, 4, 1, 0, 3, 1, 2, 1, 4, 1, 3, 2, 0, 4, 0, 4, 0, 1, 0, 0, 3, 1, 2, 3, 0, 2, 4, 2, 4, 4, 3, 0, 0, 3, 4, 4, 0, 3, 0, 0, 1, 2, 3, 1, 2, 4, 2, 1, 1, 1, 1, 0, 4, 3, 0, 2, 1, 0, 4, 1, 1, 4, 4, 4, 4, 3, 3, 2, 2, 3, 4, 1, 2, 4, 2, 4, 0, 2, 4, 0, 0, 2, 0, 4, 2, 1, 2, 2, 4, 4, 0, 2, 3, 0, 4, 0, 0, 4, 0, 2, 4, 3, 2, 1, 0, 4, 2, 4, 3, 2, 3, 2, 4, 3, 0, 1, 0, 2, 3, 0, 1, 1, 3, 1, 1, 0, 2, 4, 1, 0, 3, 0, 0, 0, 1, 3, 1, 3, 0, 4, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 3, 4, 2, 3, 4, 2, 4, 3, 2, 1, 0, 0, 0, 3, 4, 4, 4, 0, 3, 2, 1, 4, 2, 3, 2, 2, 0, 0, 3, 4, 4, 2, 4, 1, 2, 4, 0, 2, 3, 2, 1, 3, 3, 3, 2, 4, 3, 2, 0, 2, 0, 3, 4, 2, 0, 3, 1, 2, 0, 2, 4, 1, 3, 2, 2, 2, 0, 1, 3, 2, 2, 2, 1, 1, 2, 2, 0, 2, 3, 1, 0, 1, 0, 1, 4, 2, 3, 0, 3, 2, 3, 4, 3, 4, 0, 0, 2, 2, 4, 4, 2, 3, 2, 4, 4, 0, 3, 3, 2, 1, 2, 2, 2, 0, 3, 4, 2, 3, 4, 3, 2, 4, 0, 0, 0, 0, 2, 1, 3, 4, 1, 4, 3, 1, 3, 0, 4, 4, 4, 2, 4, 4, 2, 0, 1, 0, 0, 4, 0, 2, 4, 2, 2, 0, 1, 2, 3, 3, 4, 1, 2, 2, 3, 0, 4, 3, 3, 3, 0, 3, 3, 1, 2, 0, 3, 2, 0, 0, 0, 1, 1, 1, 4, 4, 1, 2, 4, 3, 4, 4, 2, 2, 3, 4, 3, 2, 1, 2, 4, 4, 2, 3, 1, 0, 4, 4, 2, 0, 2, 3, 1, 2, 1, 0, 4, 1, 2, 1, 0, 3, 4, 1, 0, 0, 3, 0, 4, 4, 4, 3, 1, 2, 2, 0, 0, 2, 3, 2, 1, 4, 4, 2, 4, 4, 1, 0, 0, 0, 2, 4] pubkeycol1703 = [0, 2, 3, 1, 4, 3, 4, 3, 2, 2, 2, 0, 1, 3, 3, 1, 1, 2, 4, 4, 2, 4, 1, 4, 4, 2, 0, 0, 3, 4, 1, 3, 4, 2, 3, 2, 2, 0, 0, 3, 2, 2, 0, 0, 3, 4, 1, 1, 1, 2, 4, 0, 4, 4, 2, 0, 0, 2, 2, 1, 3, 3, 3, 3, 2, 3, 1, 3, 2, 0, 1, 3, 3, 1, 4, 3, 2, 2, 4, 1, 0, 1, 4, 1, 1, 2, 1, 4, 0, 0, 3, 1, 0, 4, 4, 2, 0, 2, 0, 4, 0, 2, 4, 2, 1, 1, 4, 1, 1, 3, 1, 0, 4, 4, 1, 2, 0, 1, 2, 1, 1, 0, 3, 3, 3, 2, 0, 3, 0, 3, 3, 1, 3, 1, 4, 4, 1, 0, 3, 3, 3, 2, 1, 0, 3, 1, 4, 2, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 3, 4, 0, 3, 2, 3, 1, 0, 0, 3, 2, 4, 2, 3, 3, 2, 0, 4, 3, 1, 2, 3, 3, 1, 2, 0, 4, 4, 2, 3, 0, 1, 1, 3, 4, 4, 1, 2, 2, 0, 1, 4, 4, 4, 0, 1, 1, 3, 4, 4, 2, 2, 3, 0, 1, 4, 2, 4, 2, 3, 2, 4, 3, 0, 3, 0, 0, 3, 3, 4, 1, 2, 4, 3, 3, 4, 4, 0, 0, 1, 4, 3, 4, 4, 2, 4, 3, 4, 4, 4, 2, 0, 1, 3, 4, 4, 4, 3, 0, 4, 3, 3, 0, 1, 1, 2, 2, 3, 2, 4, 1, 0, 4, 4, 3, 4, 2, 1, 3, 2, 1, 3, 4, 4, 2, 1, 3, 4, 2, 1, 1, 3, 3, 0, 2, 0, 2, 2, 1, 2, 0, 4, 0, 4, 4, 1, 1, 3, 3, 4, 3, 0, 4, 0, 1, 4, 0, 1, 4, 4, 2, 3, 0, 0, 3, 2, 4, 0, 4, 3, 4, 1, 2, 4, 2, 2, 0, 1, 1, 1, 0, 4, 2, 0, 4, 2, 3, 3, 4, 1, 2, 0, 3, 1, 3, 4, 0, 4, 3, 0, 0, 0, 2, 1, 4, 3, 2, 1, 3, 4, 3, 4, 2, 4, 0, 2, 2, 1, 1, 3, 2, 4, 1, 1, 4, 3, 3, 2, 0, 2, 0, 3, 3, 3, 3, 0, 4, 0, 2, 3, 0, 4, 2, 4, 3, 4, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 3, 3, 3, 0, 1, 3, 3, 0, 2, 2, 0, 3, 3, 4, 3, 1, 0, 0, 4, 2, 3, 1, 3, 4, 2, 0, 2, 3, 1, 1, 0, 2, 4, 4, 0, 0, 0, 1, 1, 2, 1, 2, 0, 4, 4, 1, 2, 4, 3, 2, 2, 4, 4, 1, 0, 1, 3, 3, 4, 3, 0, 0, 3, 3, 2] pubkeycol1704 = [0, 1, 0, 4, 1, 0, 0, 3, 2, 3, 0, 4, 1, 2, 4, 1, 4, 0, 2, 4, 1, 1, 3, 0, 4, 1, 1, 0, 0, 4, 1, 0, 4, 2, 2, 3, 3, 4, 3, 1, 1, 3, 0, 4, 3, 2, 3, 4, 4, 0, 4, 2, 1, 4, 2, 1, 4, 3, 2, 2, 1, 1, 4, 2, 1, 4, 4, 1, 1, 3, 2, 0, 4, 0, 3, 1, 1, 0, 1, 2, 1, 4, 1, 0, 4, 4, 4, 0, 0, 2, 0, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 0, 2, 4, 3, 0, 4, 1, 3, 1, 2, 4, 1, 1, 0, 0, 3, 4, 1, 3, 0, 4, 3, 1, 3, 3, 3, 4, 1, 3, 4, 0, 1, 3, 1, 3, 1, 4, 1, 3, 4, 0, 2, 4, 2, 0, 2, 3, 1, 2, 2, 0, 4, 0, 4, 4, 0, 3, 3, 3, 1, 3, 0, 4, 0, 2, 0, 1, 2, 3, 1, 2, 3, 3, 1, 3, 4, 0, 1, 3, 4, 4, 4, 1, 3, 1, 3, 4, 0, 4, 3, 0, 0, 2, 0, 1, 3, 1, 3, 0, 4, 1, 2, 2, 2, 1, 2, 2, 3, 3, 4, 4, 1, 0, 3, 0, 0, 3, 0, 2, 3, 3, 4, 2, 0, 1, 1, 4, 4, 4, 3, 1, 1, 2, 1, 0, 4, 3, 0, 4, 1, 2, 2, 3, 3, 4, 4, 4, 0, 1, 2, 4, 3, 3, 1, 0, 2, 4, 1, 1, 0, 3, 4, 2, 0, 3, 3, 1, 4, 3, 3, 3, 0, 4, 3, 2, 3, 0, 0, 2, 0, 4, 4, 3, 4, 4, 0, 0, 4, 4, 3, 3, 2, 4, 3, 3, 2, 1, 4, 2, 2, 4, 2, 0, 3, 3, 4, 2, 3, 1, 1, 1, 2, 3, 4, 0, 1, 3, 2, 1, 4, 0, 4, 3, 2, 4, 1, 0, 2, 0, 4, 4, 0, 1, 4, 3, 0, 1, 3, 2, 0, 4, 1, 2, 1, 0, 4, 1, 4, 3, 4, 3, 0, 1, 2, 3, 3, 0, 4, 4, 4, 1, 2, 0, 4, 4, 2, 2, 4, 1, 2, 0, 3, 1, 1, 1, 0, 0, 3, 4, 1, 3, 2, 4, 3, 1, 4, 0, 3, 0, 0, 1, 2, 2, 2, 4, 0, 1, 3, 0, 2, 1, 0, 1, 2, 3, 2, 1, 1, 4, 1, 0, 3, 4, 3, 4, 3, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 0, 2, 3, 4, 0, 2, 0, 2, 4, 4, 4, 0, 4, 3, 1, 4, 4, 1, 4, 0, 0, 3, 1, 1, 0, 1, 3, 4, 3, 1, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 2, 0, 2, 1, 3, 4, 3, 2, 0, 2, 0, 4] pubkeycol1705 = [3, 1, 0, 1, 0, 1, 2, 2, 3, 2, 0, 1, 3, 0, 3, 1, 1, 4, 1, 0, 0, 1, 2, 0, 1, 4, 1, 2, 2, 4, 3, 0, 1, 4, 1, 4, 3, 3, 1, 1, 3, 0, 0, 3, 4, 2, 1, 3, 0, 4, 4, 3, 3, 4, 0, 2, 4, 4, 2, 0, 1, 0, 3, 3, 1, 1, 4, 3, 3, 2, 3, 3, 1, 3, 2, 3, 0, 4, 4, 2, 1, 4, 0, 2, 3, 2, 4, 3, 4, 4, 3, 0, 2, 3, 2, 2, 4, 2, 1, 1, 3, 2, 3, 1, 0, 2, 1, 1, 1, 2, 4, 2, 3, 4, 2, 0, 0, 4, 0, 2, 1, 1, 1, 2, 0, 3, 2, 3, 4, 4, 1, 0, 0, 1, 3, 2, 1, 0, 4, 2, 2, 1, 4, 0, 3, 1, 2, 1, 3, 0, 0, 2, 4, 2, 1, 4, 3, 1, 2, 0, 4, 4, 1, 4, 1, 0, 4, 2, 4, 3, 3, 2, 3, 3, 3, 3, 3, 0, 2, 0, 3, 1, 1, 3, 1, 3, 3, 2, 1, 1, 3, 1, 0, 1, 4, 1, 4, 0, 3, 4, 2, 1, 1, 3, 3, 1, 2, 0, 2, 2, 1, 3, 0, 4, 4, 4, 1, 0, 2, 4, 4, 0, 3, 3, 3, 4, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 3, 1, 3, 3, 4, 1, 0, 4, 1, 1, 2, 2, 1, 1, 3, 2, 1, 0, 2, 3, 1, 0, 3, 0, 0, 2, 2, 0, 1, 2, 4, 4, 0, 2, 0, 4, 3, 3, 1, 2, 3, 1, 4, 1, 1, 2, 0, 1, 4, 3, 3, 2, 2, 0, 0, 0, 4, 4, 0, 1, 1, 2, 4, 0, 0, 0, 1, 4, 2, 4, 0, 2, 2, 1, 2, 2, 0, 4, 1, 3, 1, 3, 1, 2, 2, 3, 3, 1, 0, 4, 1, 0, 3, 3, 1, 1, 2, 0, 2, 0, 2, 3, 1, 1, 2, 4, 1, 3, 3, 1, 3, 4, 4, 1, 4, 4, 4, 0, 1, 3, 3, 0, 4, 3, 4, 0, 4, 3, 4, 3, 2, 0, 0, 4, 4, 0, 4, 1, 1, 0, 3, 1, 1, 0, 0, 1, 3, 0, 3, 4, 4, 0, 1, 3, 0, 2, 3, 4, 2, 4, 3, 0, 3, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 3, 0, 2, 3, 1, 0, 3, 1, 2, 1, 3, 0, 2, 0, 1, 2, 2, 2, 3, 1, 2, 4, 0, 4, 2, 2, 2, 2, 3, 1, 4, 4, 2, 0, 1, 3, 4, 3, 4, 4, 2, 3, 3, 2, 0, 1, 3, 4, 1, 2, 1, 2, 3, 1, 1, 3, 0, 0, 1, 1, 2, 3, 2, 2, 0, 4, 0, 0, 4] pubkeycol1706 = [0, 2, 0, 1, 3, 1, 4, 3, 3, 3, 3, 3, 2, 1, 4, 4, 4, 4, 4, 0, 2, 4, 1, 2, 0, 3, 2, 4, 4, 3, 1, 3, 4, 2, 1, 3, 4, 3, 3, 1, 3, 0, 0, 0, 1, 2, 3, 3, 1, 1, 0, 0, 4, 0, 1, 3, 2, 3, 3, 3, 0, 0, 2, 1, 4, 3, 1, 0, 0, 3, 0, 4, 2, 2, 4, 3, 1, 1, 0, 0, 3, 4, 0, 0, 1, 4, 3, 1, 0, 4, 2, 0, 0, 0, 2, 4, 4, 3, 0, 1, 1, 3, 0, 1, 1, 0, 3, 0, 2, 3, 0, 1, 4, 2, 1, 1, 0, 3, 0, 2, 4, 2, 3, 1, 4, 2, 3, 1, 0, 0, 4, 1, 1, 3, 3, 4, 1, 2, 3, 1, 1, 4, 0, 0, 4, 3, 3, 2, 3, 1, 4, 3, 0, 0, 4, 3, 0, 3, 2, 1, 4, 0, 1, 3, 0, 3, 3, 1, 0, 1, 4, 4, 1, 4, 1, 2, 1, 4, 2, 3, 1, 1, 1, 0, 0, 0, 1, 4, 4, 0, 4, 2, 1, 0, 2, 1, 0, 4, 0, 2, 4, 0, 2, 1, 0, 4, 2, 0, 2, 0, 2, 4, 4, 4, 2, 0, 1, 0, 3, 3, 0, 0, 1, 0, 2, 2, 3, 2, 3, 3, 2, 3, 1, 3, 4, 1, 2, 2, 1, 3, 4, 2, 4, 0, 3, 4, 4, 4, 0, 0, 3, 1, 1, 0, 2, 3, 0, 2, 4, 2, 0, 0, 4, 0, 3, 4, 1, 3, 1, 3, 2, 0, 2, 2, 0, 2, 4, 3, 3, 4, 4, 3, 1, 3, 4, 0, 3, 0, 2, 4, 1, 3, 3, 2, 4, 4, 1, 3, 4, 2, 2, 2, 1, 2, 1, 1, 0, 3, 1, 0, 4, 0, 2, 3, 0, 3, 1, 3, 3, 2, 1, 3, 3, 0, 3, 4, 1, 3, 3, 3, 1, 2, 2, 0, 2, 1, 4, 1, 0, 0, 2, 3, 1, 3, 1, 4, 0, 1, 3, 3, 4, 2, 3, 2, 0, 2, 1, 1, 4, 4, 1, 0, 0, 4, 1, 1, 3, 2, 0, 0, 3, 4, 3, 0, 0, 1, 2, 4, 0, 3, 3, 4, 1, 1, 4, 2, 2, 0, 3, 1, 3, 3, 4, 4, 1, 3, 4, 4, 4, 4, 3, 1, 0, 0, 1, 4, 2, 4, 3, 4, 3, 3, 1, 1, 1, 4, 3, 2, 1, 0, 4, 2, 3, 2, 0, 2, 4, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 4, 1, 0, 2, 0, 3, 2, 3, 1, 3, 3, 4, 1, 0, 0, 3, 0, 4, 1, 4, 3, 1, 4, 1, 0, 0, 4, 3, 1, 3, 0, 2, 2, 4, 4, 0, 2, 3, 3, 0, 3, 0] pubkeycol1707 = [2, 1, 3, 0, 0, 3, 1, 1, 4, 2, 0, 0, 4, 4, 0, 1, 1, 4, 3, 4, 4, 3, 0, 2, 1, 3, 0, 4, 0, 2, 4, 3, 4, 0, 3, 0, 2, 1, 0, 0, 2, 4, 1, 3, 0, 4, 1, 0, 4, 4, 0, 2, 4, 1, 2, 4, 4, 2, 3, 2, 3, 3, 3, 0, 0, 2, 2, 3, 4, 1, 3, 3, 1, 0, 4, 2, 2, 3, 3, 1, 0, 3, 3, 2, 0, 0, 3, 0, 0, 4, 3, 2, 0, 2, 3, 2, 0, 2, 0, 4, 0, 1, 0, 1, 4, 0, 1, 0, 4, 4, 2, 3, 3, 4, 4, 0, 1, 0, 4, 3, 4, 3, 1, 3, 0, 3, 3, 2, 0, 0, 1, 0, 3, 0, 0, 0, 0, 4, 2, 0, 1, 2, 1, 1, 0, 1, 4, 0, 2, 2, 2, 4, 0, 2, 2, 0, 4, 4, 2, 1, 1, 3, 1, 0, 0, 4, 4, 0, 1, 2, 4, 1, 3, 2, 2, 0, 0, 3, 2, 3, 2, 4, 2, 4, 1, 0, 2, 4, 2, 0, 1, 1, 3, 3, 4, 1, 1, 2, 2, 1, 0, 1, 4, 1, 1, 0, 2, 4, 2, 0, 4, 0, 4, 1, 1, 3, 4, 1, 0, 4, 2, 0, 4, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 3, 0, 2, 4, 1, 3, 1, 1, 3, 3, 0, 4, 3, 4, 2, 1, 2, 4, 4, 4, 2, 3, 4, 1, 4, 4, 0, 1, 0, 4, 2, 0, 4, 0, 1, 1, 4, 3, 2, 0, 0, 0, 2, 2, 1, 2, 3, 4, 2, 1, 0, 0, 4, 3, 3, 2, 0, 1, 1, 4, 1, 4, 0, 2, 0, 2, 4, 0, 2, 2, 3, 0, 1, 0, 0, 0, 0, 4, 0, 0, 2, 4, 0, 2, 3, 1, 1, 1, 2, 4, 0, 3, 0, 3, 0, 0, 2, 3, 2, 4, 2, 4, 1, 0, 2, 4, 0, 4, 1, 2, 0, 2, 1, 3, 3, 0, 1, 4, 4, 4, 0, 2, 0, 1, 1, 0, 0, 3, 1, 1, 2, 0, 4, 2, 2, 3, 3, 3, 3, 0, 4, 4, 3, 3, 4, 2, 3, 0, 1, 1, 3, 2, 2, 0, 4, 0, 3, 3, 1, 3, 2, 2, 0, 4, 4, 4, 3, 4, 2, 1, 2, 0, 4, 3, 4, 1, 1, 2, 0, 0, 1, 2, 3, 2, 3, 3, 2, 4, 0, 4, 4, 3, 3, 4, 3, 4, 1, 2, 3, 4, 2, 1, 1, 3, 0, 2, 3, 2, 3, 1, 0, 0, 3, 1, 4, 0, 3, 0, 0, 1, 2, 2, 4, 4, 3, 1, 4, 2, 3, 3, 4, 3, 1, 2, 1, 4, 4, 2, 0, 4, 0, 1, 0, 2, 1, 0, 4] pubkeycol1708 = [2, 0, 0, 4, 4, 1, 0, 1, 1, 0, 1, 3, 2, 2, 2, 1, 3, 3, 2, 4, 0, 3, 1, 1, 4, 1, 2, 2, 2, 1, 4, 4, 3, 4, 1, 2, 2, 2, 1, 2, 2, 4, 3, 0, 3, 4, 2, 3, 4, 2, 3, 3, 2, 3, 4, 2, 1, 2, 1, 4, 0, 4, 4, 0, 3, 3, 4, 4, 3, 0, 4, 2, 4, 3, 4, 4, 2, 1, 3, 2, 1, 1, 0, 1, 0, 0, 4, 0, 2, 1, 0, 2, 1, 0, 1, 4, 4, 4, 2, 1, 0, 4, 0, 4, 0, 2, 4, 2, 0, 2, 4, 0, 2, 1, 2, 1, 3, 2, 0, 0, 1, 3, 1, 1, 4, 2, 1, 3, 2, 4, 0, 2, 2, 1, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 3, 4, 4, 2, 3, 4, 1, 1, 3, 4, 4, 4, 4, 4, 4, 1, 2, 2, 0, 1, 3, 0, 4, 3, 1, 3, 3, 0, 3, 2, 3, 3, 0, 4, 3, 1, 4, 4, 2, 0, 2, 4, 2, 4, 4, 2, 0, 0, 1, 3, 0, 4, 3, 2, 2, 4, 3, 4, 4, 3, 3, 1, 4, 4, 3, 2, 2, 2, 4, 3, 2, 3, 3, 0, 2, 2, 2, 4, 1, 1, 3, 2, 1, 3, 2, 1, 1, 4, 0, 3, 3, 1, 2, 4, 2, 2, 2, 2, 0, 3, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 3, 2, 3, 1, 1, 0, 3, 3, 4, 4, 2, 1, 2, 3, 0, 3, 4, 2, 0, 1, 4, 0, 1, 0, 0, 1, 2, 2, 0, 3, 4, 0, 3, 1, 0, 4, 3, 3, 4, 0, 0, 4, 2, 0, 0, 3, 4, 4, 4, 0, 4, 3, 0, 4, 3, 2, 0, 3, 4, 2, 1, 3, 3, 1, 0, 4, 3, 4, 2, 1, 3, 3, 4, 1, 4, 3, 4, 1, 2, 4, 3, 0, 4, 0, 1, 3, 3, 0, 4, 0, 1, 0, 1, 3, 3, 1, 1, 0, 4, 0, 1, 4, 0, 4, 2, 1, 3, 2, 1, 0, 3, 1, 3, 0, 4, 2, 4, 2, 0, 2, 1, 3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 2, 1, 4, 2, 0, 3, 0, 4, 2, 3, 1, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 2, 0, 2, 3, 4, 3, 3, 2, 2, 4, 1, 4, 0, 1, 1, 3, 1, 2, 4, 0, 4, 4, 1, 4, 0, 4, 2, 1, 0, 1, 1, 0, 4, 2, 2, 4, 0, 1, 0, 2, 4, 1, 3, 2, 2, 4, 3, 3, 3, 2, 4, 2, 4, 3, 4, 4, 0, 1, 0, 3, 2, 3, 2, 4, 3, 0, 1, 4, 2, 0, 1] pubkeycol1709 = [3, 1, 0, 2, 1, 1, 0, 2, 4, 2, 2, 4, 4, 4, 0, 1, 1, 0, 2, 2, 4, 0, 1, 2, 1, 2, 4, 0, 3, 3, 3, 3, 4, 1, 4, 1, 0, 1, 4, 1, 3, 4, 0, 2, 1, 0, 3, 1, 0, 3, 0, 4, 3, 0, 2, 3, 2, 1, 3, 0, 4, 3, 1, 4, 3, 4, 0, 1, 4, 2, 1, 3, 4, 1, 1, 3, 4, 3, 2, 1, 1, 2, 4, 2, 4, 1, 4, 4, 0, 0, 3, 3, 4, 2, 0, 3, 0, 1, 3, 1, 0, 1, 2, 3, 2, 0, 4, 4, 4, 3, 2, 4, 3, 0, 3, 2, 0, 2, 0, 4, 1, 2, 2, 0, 0, 2, 4, 2, 3, 3, 3, 3, 2, 1, 1, 4, 3, 0, 4, 3, 1, 0, 2, 2, 1, 2, 3, 0, 0, 3, 2, 2, 1, 2, 4, 1, 0, 4, 2, 0, 2, 4, 4, 2, 4, 1, 1, 0, 3, 2, 4, 1, 0, 2, 0, 2, 2, 1, 0, 3, 0, 1, 4, 0, 1, 0, 4, 3, 3, 0, 3, 3, 4, 3, 2, 2, 4, 2, 3, 1, 1, 3, 0, 3, 0, 2, 4, 2, 1, 0, 4, 1, 4, 4, 4, 4, 1, 1, 4, 2, 3, 0, 1, 0, 2, 2, 3, 1, 2, 1, 4, 4, 1, 4, 0, 3, 3, 2, 4, 4, 2, 3, 1, 2, 2, 3, 3, 2, 4, 0, 0, 0, 2, 0, 3, 4, 3, 4, 2, 4, 4, 0, 0, 2, 1, 1, 4, 2, 3, 4, 4, 1, 4, 3, 3, 1, 4, 1, 4, 0, 1, 4, 0, 4, 2, 0, 3, 1, 0, 1, 2, 0, 3, 3, 3, 4, 3, 2, 3, 1, 2, 4, 4, 3, 0, 4, 2, 3, 2, 3, 2, 3, 4, 3, 0, 4, 0, 2, 1, 3, 1, 2, 4, 3, 2, 2, 4, 2, 2, 0, 2, 1, 4, 4, 4, 2, 3, 3, 2, 3, 3, 1, 0, 0, 2, 4, 0, 1, 3, 1, 3, 0, 2, 0, 4, 0, 4, 1, 0, 1, 0, 0, 4, 0, 0, 3, 1, 4, 4, 3, 3, 1, 0, 1, 3, 3, 0, 3, 4, 3, 2, 1, 1, 1, 2, 0, 1, 4, 0, 2, 1, 2, 1, 1, 4, 4, 3, 4, 3, 2, 3, 3, 2, 1, 0, 1, 2, 3, 3, 3, 4, 1, 1, 0, 4, 1, 4, 4, 1, 1, 4, 2, 4, 1, 3, 3, 0, 2, 3, 3, 3, 0, 4, 4, 0, 0, 4, 4, 3, 2, 1, 0, 0, 1, 3, 2, 1, 0, 3, 0, 4, 2, 2, 1, 4, 3, 1, 0, 3, 0, 1, 4, 3, 4, 2, 1, 1, 4, 1, 4, 2, 2, 4, 4, 2, 2, 1, 3, 1, 3] pubkeycol1710 = [2, 2, 4, 1, 3, 0, 2, 3, 3, 0, 2, 3, 0, 3, 3, 3, 0, 0, 2, 1, 3, 4, 1, 3, 1, 3, 2, 2, 4, 4, 1, 0, 3, 0, 1, 0, 2, 4, 2, 1, 3, 0, 4, 0, 3, 1, 3, 1, 3, 3, 3, 2, 0, 0, 3, 3, 3, 4, 1, 2, 0, 3, 4, 4, 0, 2, 0, 4, 0, 2, 1, 0, 2, 2, 3, 4, 0, 2, 4, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 4, 4, 1, 4, 0, 1, 4, 2, 3, 1, 0, 3, 4, 0, 1, 2, 1, 1, 4, 0, 4, 0, 4, 1, 0, 2, 3, 0, 2, 3, 3, 3, 1, 2, 4, 2, 4, 3, 0, 3, 3, 3, 1, 2, 3, 0, 4, 0, 2, 0, 1, 3, 2, 4, 1, 2, 1, 4, 2, 4, 2, 3, 4, 3, 3, 3, 0, 3, 1, 1, 1, 4, 4, 4, 1, 2, 3, 2, 4, 3, 2, 0, 3, 1, 3, 0, 0, 1, 1, 3, 4, 4, 3, 2, 4, 0, 2, 0, 2, 2, 2, 4, 3, 3, 4, 0, 2, 0, 1, 4, 2, 4, 4, 1, 2, 3, 3, 2, 0, 3, 3, 3, 3, 2, 2, 4, 3, 1, 4, 0, 1, 2, 3, 4, 2, 2, 2, 4, 2, 1, 4, 2, 4, 4, 2, 2, 0, 3, 0, 2, 0, 1, 2, 4, 2, 1, 3, 2, 1, 4, 4, 4, 3, 0, 0, 3, 2, 2, 0, 2, 1, 4, 2, 2, 4, 1, 2, 3, 2, 3, 1, 3, 0, 4, 2, 2, 3, 4, 4, 1, 3, 3, 0, 1, 4, 3, 3, 2, 4, 1, 3, 3, 0, 0, 4, 3, 3, 3, 0, 2, 3, 2, 1, 4, 3, 4, 4, 4, 1, 0, 0, 4, 4, 1, 1, 2, 2, 2, 4, 3, 2, 1, 4, 2, 3, 2, 3, 1, 0, 3, 1, 3, 1, 0, 2, 1, 0, 2, 1, 4, 0, 3, 1, 3, 1, 2, 1, 3, 1, 1, 4, 4, 0, 3, 4, 3, 4, 0, 3, 4, 1, 3, 4, 1, 3, 1, 0, 2, 1, 1, 2, 3, 4, 3, 2, 3, 1, 3, 0, 3, 4, 4, 0, 1, 4, 2, 2, 1, 4, 4, 1, 1, 4, 4, 4, 1, 4, 4, 1, 3, 4, 2, 2, 2, 3, 2, 2, 2, 4, 1, 2, 1, 1, 2, 2, 2, 1, 0, 4, 0, 1, 1, 1, 3, 3, 3, 2, 2, 4, 0, 4, 0, 0, 1, 0, 4, 2, 4, 4, 0, 4, 3, 4, 3, 4, 4, 1, 4, 2, 2, 4, 4, 3, 0, 1, 2, 4, 1, 3, 0, 2, 4, 2, 4, 4, 3, 2, 1, 1, 4, 1, 1, 4, 1, 1, 0, 4, 1, 1, 4, 1] pubkeycol1711 = [1, 0, 3, 4, 2, 0, 1, 1, 0, 4, 2, 3, 4, 1, 4, 2, 3, 2, 2, 4, 1, 4, 2, 3, 4, 4, 1, 2, 3, 4, 4, 4, 0, 1, 3, 4, 3, 1, 3, 3, 2, 4, 3, 1, 1, 4, 1, 1, 2, 0, 4, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 4, 1, 4, 4, 1, 0, 3, 2, 2, 2, 0, 2, 1, 4, 3, 0, 0, 1, 3, 3, 2, 3, 1, 4, 4, 4, 4, 2, 2, 3, 3, 3, 4, 1, 2, 4, 3, 3, 3, 4, 0, 1, 2, 0, 1, 4, 2, 2, 1, 2, 0, 1, 4, 4, 1, 2, 0, 2, 1, 1, 3, 4, 2, 0, 1, 4, 4, 2, 0, 1, 1, 4, 1, 2, 3, 1, 2, 3, 3, 0, 2, 3, 4, 1, 2, 1, 0, 1, 4, 0, 3, 1, 3, 0, 2, 1, 0, 4, 2, 4, 1, 2, 4, 4, 2, 3, 2, 1, 0, 4, 2, 2, 1, 3, 0, 0, 4, 1, 3, 0, 1, 3, 2, 2, 1, 4, 1, 4, 2, 4, 3, 4, 3, 1, 2, 2, 0, 4, 3, 3, 1, 2, 2, 1, 1, 4, 4, 1, 1, 2, 4, 2, 0, 1, 4, 1, 4, 0, 3, 4, 1, 0, 3, 0, 3, 1, 0, 1, 0, 1, 0, 4, 4, 1, 0, 0, 2, 4, 2, 2, 2, 4, 2, 2, 0, 2, 3, 2, 0, 0, 3, 3, 2, 0, 2, 0, 0, 0, 4, 2, 0, 2, 4, 3, 1, 1, 2, 4, 3, 1, 2, 4, 0, 1, 2, 0, 0, 0, 3, 0, 1, 1, 3, 0, 3, 3, 0, 0, 4, 4, 2, 0, 0, 4, 0, 4, 4, 3, 0, 3, 3, 3, 3, 1, 3, 2, 1, 2, 2, 0, 4, 3, 2, 0, 2, 1, 0, 4, 1, 2, 4, 3, 1, 1, 4, 1, 0, 2, 3, 2, 3, 3, 0, 4, 3, 4, 4, 4, 3, 3, 3, 2, 0, 3, 2, 4, 4, 2, 3, 4, 4, 1, 2, 4, 3, 1, 3, 2, 1, 1, 3, 2, 3, 0, 0, 4, 0, 3, 4, 1, 2, 1, 1, 2, 4, 0, 4, 1, 0, 2, 1, 0, 3, 1, 2, 4, 0, 1, 1, 3, 0, 0, 1, 2, 3, 3, 3, 0, 3, 2, 2, 1, 1, 3, 4, 3, 3, 3, 1, 0, 4, 3, 1, 0, 0, 0, 4, 3, 2, 0, 0, 0, 0, 2, 1, 4, 2, 0, 3, 0, 4, 4, 0, 1, 2, 4, 3, 0, 4, 0, 2, 0, 0, 1, 1, 2, 4, 0, 0, 0, 1, 2, 3, 0, 0, 4, 4, 4, 3, 4, 4, 4, 2, 1, 4, 4, 4, 2, 1, 4, 4, 3, 4, 0, 1, 3, 3, 2, 2] pubkeycol1712 = [2, 2, 4, 4, 3, 2, 4, 1, 0, 1, 4, 4, 0, 1, 0, 4, 2, 1, 4, 0, 4, 1, 2, 0, 2, 1, 0, 2, 4, 4, 0, 3, 4, 4, 4, 2, 0, 0, 1, 4, 3, 4, 1, 2, 0, 3, 4, 2, 4, 4, 1, 4, 2, 1, 4, 0, 3, 3, 0, 3, 0, 0, 2, 0, 2, 1, 3, 0, 4, 1, 1, 0, 3, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 3, 2, 0, 0, 3, 1, 4, 2, 1, 0, 3, 4, 2, 4, 1, 3, 2, 2, 0, 3, 0, 0, 3, 2, 4, 2, 3, 2, 1, 3, 0, 0, 4, 0, 0, 2, 1, 0, 0, 3, 3, 3, 4, 2, 4, 0, 0, 3, 1, 4, 0, 3, 3, 1, 1, 2, 2, 1, 1, 0, 4, 3, 3, 2, 2, 1, 1, 2, 0, 3, 0, 2, 2, 1, 1, 1, 0, 1, 3, 1, 2, 4, 3, 2, 2, 4, 4, 0, 2, 2, 2, 3, 3, 1, 0, 1, 2, 4, 4, 4, 0, 2, 3, 4, 0, 4, 3, 4, 2, 1, 0, 4, 3, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 3, 0, 3, 0, 1, 2, 0, 3, 4, 2, 1, 3, 1, 4, 0, 1, 1, 0, 3, 0, 0, 2, 3, 0, 1, 1, 2, 2, 4, 3, 2, 0, 1, 2, 3, 1, 2, 4, 0, 3, 3, 1, 1, 0, 4, 4, 1, 4, 2, 2, 3, 3, 2, 3, 3, 4, 0, 3, 2, 1, 1, 2, 1, 1, 3, 1, 4, 4, 2, 3, 4, 1, 0, 0, 2, 0, 3, 1, 1, 4, 3, 4, 1, 0, 3, 2, 2, 3, 3, 1, 4, 4, 4, 2, 0, 0, 1, 1, 1, 2, 4, 0, 2, 1, 1, 3, 1, 1, 1, 4, 2, 4, 1, 3, 3, 1, 1, 4, 0, 0, 0, 1, 1, 4, 3, 4, 4, 2, 1, 3, 4, 1, 3, 3, 1, 3, 1, 2, 4, 1, 3, 0, 3, 4, 4, 4, 0, 1, 2, 0, 2, 1, 0, 3, 4, 4, 2, 0, 0, 2, 4, 1, 0, 3, 4, 3, 4, 2, 2, 4, 3, 0, 2, 0, 3, 2, 0, 2, 1, 2, 0, 2, 1, 0, 4, 0, 1, 2, 4, 1, 2, 2, 4, 3, 2, 2, 3, 0, 2, 2, 2, 0, 3, 2, 3, 2, 2, 1, 2, 1, 3, 3, 4, 3, 1, 3, 4, 0, 2, 1, 2, 4, 3, 2, 3, 1, 0, 3, 1, 1, 3, 1, 2, 1, 3, 1, 4, 0, 2, 0, 3, 2, 4, 0, 1, 2, 3, 0, 3, 4, 0, 4, 2, 3, 0, 3, 3, 4, 2, 4, 4, 0, 3, 1, 4, 1, 1, 0, 1, 4, 3, 1, 0] pubkeycol1713 = [0, 4, 4, 0, 2, 2, 2, 1, 2, 3, 4, 4, 2, 0, 1, 1, 4, 0, 3, 3, 2, 3, 1, 4, 0, 1, 0, 4, 1, 0, 1, 1, 3, 4, 3, 3, 0, 3, 3, 1, 2, 3, 0, 1, 4, 4, 0, 0, 1, 2, 2, 3, 3, 0, 0, 3, 2, 2, 1, 1, 0, 1, 0, 0, 3, 4, 2, 2, 1, 3, 3, 2, 1, 1, 1, 0, 4, 4, 2, 3, 1, 2, 3, 4, 1, 3, 2, 2, 1, 2, 4, 3, 0, 3, 3, 0, 4, 4, 0, 1, 4, 4, 3, 4, 2, 0, 3, 1, 1, 3, 4, 1, 1, 3, 0, 3, 3, 2, 2, 4, 2, 1, 2, 1, 0, 2, 0, 3, 3, 1, 3, 3, 0, 3, 1, 4, 3, 4, 3, 1, 1, 0, 2, 2, 3, 4, 3, 0, 0, 1, 1, 3, 1, 4, 0, 2, 4, 1, 4, 4, 3, 4, 1, 4, 2, 4, 0, 0, 2, 1, 3, 3, 3, 3, 4, 2, 1, 0, 0, 1, 0, 2, 1, 4, 4, 2, 4, 3, 1, 1, 0, 0, 2, 0, 2, 4, 1, 0, 4, 1, 3, 4, 2, 4, 0, 2, 0, 0, 2, 0, 4, 0, 4, 1, 4, 0, 1, 2, 3, 2, 4, 1, 0, 0, 4, 4, 2, 3, 4, 2, 0, 3, 1, 4, 3, 4, 3, 3, 4, 1, 1, 1, 1, 0, 3, 4, 3, 3, 4, 0, 4, 4, 4, 4, 1, 4, 2, 4, 4, 0, 4, 4, 2, 2, 0, 2, 4, 2, 1, 3, 1, 3, 0, 0, 2, 0, 3, 1, 3, 2, 4, 2, 4, 2, 0, 1, 2, 1, 0, 3, 2, 4, 2, 2, 0, 1, 1, 0, 3, 0, 2, 0, 3, 0, 0, 0, 4, 4, 0, 4, 2, 4, 3, 2, 4, 2, 1, 4, 4, 2, 3, 2, 2, 3, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 3, 3, 1, 2, 4, 3, 2, 3, 0, 3, 3, 4, 1, 3, 3, 2, 1, 1, 2, 3, 4, 2, 1, 1, 0, 2, 2, 2, 3, 1, 3, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 2, 4, 3, 0, 4, 0, 2, 1, 2, 4, 2, 1, 2, 3, 4, 2, 2, 1, 3, 3, 0, 3, 4, 3, 2, 4, 4, 1, 4, 0, 2, 4, 2, 0, 3, 2, 3, 0, 4, 0, 1, 1, 3, 2, 3, 2, 2, 0, 2, 3, 4, 4, 4, 1, 3, 2, 1, 0, 1, 3, 4, 4, 3, 2, 0, 4, 3, 2, 3, 1, 1, 0, 4, 3, 3, 3, 2, 2, 1, 2, 1, 4, 0, 1, 1, 4, 0, 3, 1, 3, 1, 2, 4, 1, 0] pubkeycol1714 = [4, 4, 3, 2, 4, 2, 0, 2, 0, 2, 1, 4, 2, 0, 4, 1, 0, 1, 4, 3, 3, 2, 1, 2, 0, 2, 0, 1, 2, 2, 4, 3, 1, 4, 1, 3, 2, 2, 3, 0, 1, 4, 3, 1, 3, 4, 3, 2, 4, 0, 2, 4, 1, 1, 2, 3, 3, 3, 3, 0, 3, 3, 4, 0, 4, 3, 0, 0, 3, 2, 3, 0, 4, 0, 0, 3, 2, 0, 1, 4, 0, 3, 3, 0, 4, 4, 1, 3, 1, 2, 3, 4, 3, 1, 1, 0, 4, 1, 4, 2, 0, 2, 1, 3, 1, 4, 2, 4, 3, 1, 4, 0, 1, 2, 3, 0, 1, 4, 0, 4, 3, 2, 3, 0, 2, 2, 3, 1, 2, 3, 0, 3, 4, 2, 3, 1, 1, 3, 3, 4, 2, 0, 4, 0, 1, 0, 2, 0, 2, 3, 2, 3, 2, 1, 1, 0, 2, 0, 3, 2, 3, 3, 1, 0, 2, 3, 0, 0, 1, 1, 0, 4, 4, 1, 2, 0, 3, 4, 4, 0, 1, 3, 3, 0, 1, 3, 0, 2, 3, 1, 1, 4, 3, 4, 0, 4, 2, 4, 2, 1, 3, 4, 0, 4, 4, 4, 0, 3, 0, 4, 3, 2, 0, 1, 4, 4, 1, 4, 2, 0, 1, 4, 0, 4, 1, 1, 3, 3, 2, 4, 2, 1, 2, 2, 1, 0, 4, 3, 0, 4, 4, 0, 0, 0, 1, 1, 3, 2, 0, 2, 2, 4, 3, 0, 2, 1, 0, 1, 4, 4, 3, 4, 4, 2, 2, 2, 1, 3, 3, 1, 4, 0, 0, 1, 3, 3, 0, 4, 3, 2, 3, 0, 2, 3, 0, 3, 4, 3, 2, 0, 3, 3, 2, 0, 3, 2, 0, 2, 4, 3, 3, 2, 3, 0, 3, 4, 3, 3, 1, 0, 1, 2, 1, 4, 0, 2, 2, 4, 2, 4, 4, 2, 0, 1, 0, 4, 3, 1, 0, 3, 3, 2, 4, 2, 4, 3, 1, 1, 0, 1, 1, 3, 2, 1, 3, 3, 0, 1, 3, 2, 2, 3, 0, 1, 0, 0, 2, 1, 2, 3, 4, 3, 0, 3, 4, 1, 3, 0, 2, 2, 0, 1, 1, 2, 4, 4, 3, 0, 3, 0, 1, 3, 0, 1, 2, 1, 3, 1, 0, 0, 4, 4, 2, 2, 0, 4, 0, 3, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 1, 2, 1, 3, 4, 2, 3, 3, 0, 1, 1, 1, 0, 2, 0, 1, 3, 0, 4, 3, 0, 1, 1, 3, 4, 4, 4, 4, 1, 1, 3, 0, 0, 1, 1, 0, 4, 3, 0, 4, 0, 1, 2, 1, 3, 0, 3, 2, 3, 3, 2, 3, 1, 2, 1, 4, 1, 1, 4, 1, 3, 1, 4, 2, 4, 4, 3] pubkeycol1715 = [2, 2, 1, 2, 3, 0, 1, 3, 3, 4, 3, 2, 4, 1, 1, 2, 0, 2, 0, 2, 4, 2, 0, 4, 2, 0, 3, 0, 3, 3, 4, 0, 3, 1, 1, 1, 0, 3, 1, 4, 4, 4, 3, 0, 4, 0, 4, 4, 2, 3, 4, 4, 3, 0, 4, 4, 3, 3, 3, 1, 4, 2, 1, 0, 4, 1, 1, 4, 0, 0, 1, 4, 2, 3, 4, 1, 2, 2, 4, 4, 2, 3, 4, 2, 2, 3, 1, 3, 3, 4, 2, 1, 0, 2, 3, 0, 3, 0, 2, 2, 0, 3, 3, 4, 0, 4, 0, 0, 2, 0, 4, 2, 0, 4, 3, 1, 4, 1, 0, 1, 4, 2, 2, 1, 3, 1, 2, 3, 3, 0, 0, 4, 1, 4, 4, 1, 3, 0, 1, 1, 0, 2, 0, 3, 2, 3, 3, 0, 0, 0, 4, 0, 1, 2, 1, 1, 1, 2, 2, 3, 4, 1, 0, 2, 2, 3, 2, 4, 2, 2, 3, 1, 1, 3, 2, 0, 1, 3, 4, 2, 2, 1, 4, 4, 2, 3, 1, 1, 4, 3, 0, 3, 0, 1, 4, 4, 3, 4, 4, 0, 0, 0, 4, 4, 2, 2, 0, 0, 2, 3, 4, 0, 4, 1, 2, 3, 0, 0, 1, 3, 4, 0, 2, 4, 0, 2, 4, 3, 2, 3, 3, 3, 2, 0, 3, 0, 3, 1, 3, 1, 4, 0, 1, 4, 0, 3, 0, 0, 0, 3, 1, 4, 2, 3, 3, 0, 3, 0, 3, 3, 4, 4, 1, 4, 1, 1, 2, 2, 0, 3, 4, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 0, 1, 3, 2, 4, 1, 4, 2, 0, 1, 4, 3, 3, 0, 4, 0, 4, 3, 1, 2, 3, 4, 4, 2, 1, 1, 1, 0, 3, 2, 4, 4, 2, 0, 2, 1, 2, 4, 2, 4, 2, 0, 3, 3, 0, 1, 0, 3, 3, 0, 4, 4, 1, 3, 4, 1, 4, 3, 2, 3, 3, 3, 3, 4, 3, 4, 1, 0, 2, 4, 4, 2, 3, 4, 2, 4, 4, 4, 4, 1, 0, 2, 2, 1, 2, 0, 2, 4, 1, 2, 3, 0, 2, 4, 4, 0, 4, 0, 2, 3, 1, 1, 2, 4, 4, 1, 4, 4, 4, 0, 4, 3, 0, 4, 2, 0, 1, 2, 1, 3, 0, 2, 0, 2, 2, 2, 4, 0, 1, 1, 0, 2, 2, 3, 4, 3, 1, 0, 3, 0, 1, 0, 3, 1, 4, 0, 0, 4, 0, 4, 0, 4, 2, 2, 3, 2, 0, 3, 1, 1, 4, 3, 1, 0, 3, 4, 3, 3, 3, 4, 0, 3, 0, 1, 4, 1, 1, 3, 2, 4, 4, 2, 2, 1, 3, 2, 2, 1, 0, 3, 1, 1, 1, 2, 1, 2, 3, 4, 4] pubkeycol1716 = [0, 2, 4, 4, 4, 1, 3, 0, 2, 3, 0, 4, 4, 1, 4, 0, 4, 4, 3, 0, 2, 4, 4, 4, 2, 1, 3, 0, 0, 0, 3, 2, 1, 2, 3, 0, 4, 0, 1, 1, 2, 1, 4, 3, 0, 1, 2, 0, 4, 3, 3, 3, 4, 4, 1, 3, 1, 4, 3, 0, 1, 1, 3, 4, 4, 1, 0, 4, 2, 0, 0, 1, 0, 1, 3, 2, 0, 2, 0, 2, 4, 2, 1, 3, 1, 2, 4, 2, 3, 3, 2, 4, 3, 1, 0, 4, 3, 2, 1, 0, 0, 3, 1, 3, 3, 4, 0, 0, 3, 3, 0, 1, 3, 3, 4, 2, 1, 4, 1, 0, 4, 4, 0, 1, 0, 3, 4, 3, 2, 0, 4, 3, 2, 1, 1, 0, 4, 1, 1, 1, 4, 2, 1, 1, 1, 0, 2, 2, 4, 0, 4, 1, 1, 1, 3, 4, 3, 0, 2, 4, 4, 1, 1, 1, 3, 3, 2, 2, 4, 4, 4, 3, 2, 2, 1, 3, 2, 4, 4, 4, 2, 1, 4, 0, 3, 2, 2, 2, 4, 2, 3, 0, 0, 2, 2, 3, 4, 1, 0, 3, 1, 2, 4, 2, 0, 1, 0, 1, 4, 4, 0, 1, 2, 2, 3, 0, 4, 3, 3, 4, 2, 1, 0, 2, 4, 3, 1, 3, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 4, 4, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 4, 2, 0, 4, 4, 2, 3, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 0, 2, 3, 2, 3, 2, 1, 4, 1, 0, 0, 3, 0, 4, 1, 0, 1, 3, 3, 3, 2, 2, 2, 1, 4, 2, 2, 4, 0, 0, 2, 0, 3, 1, 4, 3, 3, 2, 3, 3, 4, 4, 1, 4, 1, 4, 2, 0, 3, 2, 3, 3, 3, 4, 0, 1, 2, 2, 2, 0, 3, 3, 2, 4, 0, 4, 3, 0, 2, 4, 1, 4, 4, 1, 2, 1, 4, 3, 0, 1, 3, 2, 1, 2, 3, 2, 4, 2, 0, 0, 1, 2, 3, 1, 2, 3, 4, 3, 0, 4, 4, 1, 1, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 3, 1, 0, 2, 1, 0, 3, 0, 3, 2, 1, 4, 0, 0, 4, 1, 2, 3, 1, 0, 1, 4, 0, 4, 1, 4, 4, 1, 1, 0, 3, 3, 2, 4, 1, 0, 0, 0, 1, 3, 2, 0, 3, 4, 1, 3, 3, 2, 4, 1, 0, 1, 2, 3, 0, 0, 0, 1, 4, 1, 1, 2, 3, 4, 4, 0, 3, 0, 4, 3, 0, 0, 4, 1, 3, 2, 2, 0, 4, 2, 3, 3, 2, 1, 0, 1, 4, 2, 4, 2, 0, 3, 1, 3, 0, 1, 4, 1] pubkeycol1717 = [1, 3, 1, 1, 3, 4, 1, 1, 0, 2, 1, 0, 2, 3, 1, 2, 0, 1, 4, 0, 3, 1, 3, 1, 0, 3, 0, 1, 1, 2, 2, 3, 1, 4, 0, 0, 2, 1, 0, 3, 4, 3, 2, 1, 0, 0, 3, 1, 1, 1, 4, 1, 2, 2, 1, 2, 3, 3, 2, 4, 4, 2, 4, 2, 0, 1, 2, 2, 4, 2, 3, 4, 3, 0, 2, 4, 0, 3, 4, 1, 4, 2, 3, 4, 0, 0, 0, 1, 4, 1, 1, 2, 2, 3, 3, 0, 4, 4, 3, 0, 4, 2, 3, 4, 3, 4, 2, 2, 4, 2, 4, 3, 2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 1, 4, 1, 3, 3, 4, 3, 1, 0, 3, 4, 0, 2, 4, 2, 0, 2, 1, 4, 3, 4, 1, 0, 2, 3, 4, 3, 3, 3, 1, 1, 2, 4, 0, 2, 1, 3, 2, 0, 0, 2, 1, 2, 3, 0, 0, 1, 2, 3, 2, 4, 0, 2, 3, 4, 1, 4, 3, 4, 3, 3, 4, 0, 0, 1, 0, 1, 4, 2, 2, 3, 4, 4, 0, 3, 4, 4, 4, 3, 4, 4, 2, 4, 0, 4, 3, 1, 4, 4, 4, 4, 2, 4, 0, 2, 2, 4, 3, 0, 3, 4, 1, 2, 0, 4, 4, 3, 3, 3, 4, 1, 0, 3, 1, 1, 2, 4, 3, 3, 1, 3, 4, 0, 0, 1, 2, 4, 4, 4, 3, 1, 2, 4, 3, 0, 3, 0, 3, 3, 0, 4, 1, 3, 4, 2, 3, 1, 3, 3, 1, 1, 0, 4, 2, 0, 0, 2, 0, 2, 4, 3, 3, 2, 4, 3, 3, 2, 2, 1, 1, 3, 0, 2, 1, 4, 1, 3, 0, 2, 1, 1, 0, 0, 1, 4, 1, 0, 0, 1, 0, 4, 3, 2, 3, 0, 4, 2, 1, 2, 4, 1, 2, 1, 3, 2, 2, 1, 3, 4, 0, 0, 4, 2, 1, 1, 4, 4, 2, 4, 3, 2, 4, 3, 3, 3, 1, 0, 1, 0, 1, 1, 4, 1, 4, 1, 3, 1, 3, 0, 4, 4, 3, 0, 0, 0, 0, 4, 0, 2, 3, 3, 2, 4, 4, 2, 2, 3, 2, 0, 4, 2, 2, 3, 0, 1, 3, 2, 3, 0, 1, 2, 1, 3, 2, 3, 2, 3, 2, 4, 2, 2, 3, 1, 2, 0, 4, 4, 0, 3, 3, 0, 0, 0, 4, 3, 0, 0, 3, 1, 0, 4, 0, 1, 2, 2, 0, 4, 1, 1, 3, 4, 1, 1, 4, 0, 2, 2, 1, 4, 3, 1, 3, 2, 3, 1, 4, 2, 3, 3, 3, 2, 3, 3, 3, 2, 0, 2, 2, 4, 0, 0, 3, 4, 0, 3, 4, 1, 2, 2, 0, 0, 3, 0, 4, 1, 1, 2, 0] pubkeycol1718 = [3, 1, 4, 2, 2, 0, 0, 4, 1, 3, 2, 3, 1, 2, 3, 4, 4, 2, 1, 1, 4, 3, 4, 3, 1, 1, 2, 3, 0, 3, 3, 3, 2, 2, 3, 4, 3, 0, 4, 1, 4, 4, 0, 3, 3, 4, 1, 0, 2, 1, 4, 0, 2, 1, 2, 0, 0, 4, 0, 1, 4, 3, 4, 3, 0, 2, 0, 3, 1, 2, 4, 3, 3, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 0, 1, 3, 2, 0, 4, 2, 3, 4, 1, 0, 3, 2, 4, 2, 4, 3, 2, 4, 3, 1, 0, 4, 2, 3, 0, 3, 4, 4, 3, 3, 1, 2, 1, 0, 1, 1, 3, 2, 2, 3, 3, 3, 2, 1, 3, 3, 1, 3, 1, 4, 0, 2, 4, 2, 2, 0, 1, 3, 3, 2, 0, 2, 0, 3, 2, 4, 0, 4, 4, 3, 4, 1, 1, 2, 4, 2, 1, 3, 2, 1, 4, 2, 2, 3, 0, 4, 3, 3, 1, 0, 2, 0, 0, 3, 4, 1, 1, 1, 3, 1, 3, 0, 0, 2, 1, 4, 4, 2, 0, 4, 4, 1, 3, 1, 4, 1, 0, 3, 2, 0, 2, 4, 0, 3, 0, 3, 2, 4, 1, 1, 4, 0, 0, 1, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 4, 3, 3, 2, 4, 3, 2, 0, 2, 4, 3, 1, 0, 3, 1, 1, 1, 1, 2, 4, 4, 0, 1, 4, 3, 1, 0, 0, 1, 2, 2, 1, 1, 4, 1, 1, 3, 0, 1, 2, 2, 1, 2, 0, 1, 0, 4, 3, 2, 4, 1, 1, 1, 4, 2, 1, 1, 2, 3, 3, 4, 0, 2, 2, 1, 2, 1, 0, 3, 3, 4, 0, 2, 3, 0, 0, 0, 4, 0, 4, 1, 4, 0, 0, 3, 4, 0, 0, 2, 0, 1, 0, 0, 4, 2, 2, 0, 3, 2, 1, 2, 0, 0, 3, 0, 2, 4, 3, 1, 3, 4, 3, 2, 1, 0, 4, 4, 4, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 3, 3, 1, 2, 1, 1, 2, 4, 0, 3, 4, 4, 4, 2, 3, 1, 2, 3, 1, 0, 3, 0, 3, 2, 1, 0, 3, 3, 4, 3, 4, 0, 0, 0, 2, 3, 1, 4, 0, 0, 3, 4, 0, 2, 4, 0, 0, 4, 2, 3, 2, 3, 4, 0, 2, 3, 4, 1, 1, 2, 4, 1, 1, 2, 2, 4, 0, 0, 4, 1, 4, 4, 2, 0, 4, 2, 0, 1, 0, 1, 0, 0, 1, 3, 2, 2, 3, 2, 4, 1, 4, 0, 3, 3, 2, 0, 4, 0, 1, 1, 0, 1] pubkeycol1719 = [2, 4, 1, 0, 3, 4, 3, 1, 1, 4, 1, 3, 1, 0, 1, 2, 2, 0, 4, 2, 2, 0, 0, 2, 0, 0, 4, 0, 2, 4, 3, 3, 4, 3, 1, 1, 1, 1, 2, 2, 3, 1, 0, 0, 4, 2, 4, 1, 1, 2, 1, 4, 0, 4, 2, 3, 2, 1, 2, 1, 0, 0, 2, 4, 2, 4, 2, 1, 3, 4, 2, 2, 3, 4, 1, 0, 3, 0, 4, 2, 4, 1, 3, 3, 3, 1, 4, 2, 3, 0, 4, 0, 1, 0, 4, 3, 2, 0, 2, 1, 0, 3, 3, 1, 1, 2, 1, 1, 0, 2, 3, 0, 0, 0, 2, 2, 2, 3, 1, 2, 4, 1, 0, 4, 1, 4, 4, 4, 0, 2, 3, 1, 0, 1, 0, 0, 1, 2, 3, 4, 1, 4, 4, 0, 2, 0, 1, 2, 1, 4, 1, 0, 1, 2, 4, 4, 4, 1, 0, 4, 1, 2, 3, 3, 3, 0, 1, 3, 3, 1, 3, 1, 3, 3, 0, 4, 4, 0, 2, 4, 4, 1, 2, 4, 1, 0, 2, 3, 1, 2, 3, 1, 2, 0, 4, 0, 3, 1, 3, 4, 3, 1, 2, 2, 2, 0, 4, 3, 2, 3, 1, 2, 0, 1, 4, 4, 4, 2, 0, 1, 4, 3, 0, 4, 3, 2, 3, 4, 0, 3, 4, 2, 3, 2, 1, 3, 3, 4, 1, 1, 4, 1, 3, 2, 1, 1, 0, 0, 4, 4, 3, 3, 1, 3, 4, 0, 4, 3, 3, 3, 4, 4, 4, 0, 1, 1, 2, 2, 0, 0, 4, 3, 3, 0, 1, 0, 1, 1, 2, 1, 3, 0, 0, 4, 0, 2, 0, 4, 2, 4, 4, 3, 4, 3, 3, 4, 3, 1, 3, 4, 0, 0, 3, 0, 0, 1, 4, 1, 3, 2, 3, 2, 1, 0, 2, 4, 3, 2, 3, 4, 2, 3, 4, 1, 4, 2, 2, 2, 0, 1, 1, 0, 3, 2, 4, 2, 0, 4, 1, 0, 2, 4, 2, 3, 0, 3, 2, 3, 1, 1, 3, 1, 3, 1, 4, 3, 4, 4, 1, 0, 2, 3, 3, 2, 2, 4, 2, 1, 3, 3, 2, 2, 2, 0, 3, 0, 4, 2, 4, 4, 0, 3, 4, 0, 0, 3, 2, 0, 2, 1, 1, 4, 0, 4, 3, 4, 4, 2, 2, 0, 0, 3, 2, 1, 3, 4, 4, 0, 3, 4, 0, 3, 1, 2, 3, 3, 2, 0, 2, 4, 1, 1, 3, 3, 3, 2, 1, 0, 4, 3, 4, 0, 2, 2, 2, 4, 2, 1, 2, 4, 2, 2, 3, 4, 0, 1, 0, 4, 2, 1, 2, 3, 3, 3, 3, 4, 1, 0, 2, 4, 1, 1, 4, 4, 0, 3, 3, 2, 4, 1, 3, 4, 1, 1, 1, 0, 1, 4, 1, 1] pubkeycol1720 = [2, 3, 1, 1, 4, 0, 4, 1, 2, 3, 3, 2, 3, 4, 0, 1, 1, 1, 0, 0, 1, 0, 0, 3, 2, 0, 2, 4, 2, 4, 0, 4, 2, 4, 4, 4, 3, 3, 2, 1, 3, 2, 3, 1, 2, 2, 4, 4, 4, 4, 3, 4, 0, 2, 3, 1, 3, 3, 3, 2, 2, 0, 3, 4, 0, 2, 3, 2, 2, 0, 2, 4, 3, 4, 1, 0, 4, 4, 1, 2, 1, 2, 4, 1, 4, 0, 1, 4, 1, 3, 0, 0, 1, 3, 3, 4, 2, 0, 0, 4, 1, 2, 4, 0, 0, 0, 4, 0, 2, 1, 1, 3, 1, 4, 0, 0, 1, 0, 2, 4, 0, 2, 4, 3, 1, 4, 1, 2, 4, 1, 1, 1, 0, 3, 4, 2, 2, 2, 4, 0, 0, 0, 3, 3, 0, 0, 4, 4, 1, 4, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 2, 2, 3, 4, 3, 2, 0, 3, 0, 4, 2, 3, 0, 2, 2, 0, 0, 0, 2, 3, 1, 4, 0, 1, 3, 3, 4, 1, 0, 2, 3, 0, 4, 2, 2, 1, 3, 3, 3, 1, 0, 3, 0, 4, 2, 4, 2, 2, 4, 1, 0, 3, 2, 3, 2, 0, 2, 3, 4, 0, 0, 4, 3, 0, 4, 2, 0, 0, 2, 0, 0, 1, 0, 3, 4, 0, 2, 4, 1, 1, 0, 4, 3, 1, 0, 3, 2, 1, 2, 0, 0, 0, 1, 3, 2, 0, 1, 4, 4, 1, 3, 2, 1, 1, 3, 1, 2, 2, 0, 4, 0, 4, 1, 1, 0, 2, 2, 1, 1, 0, 4, 3, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 3, 0, 0, 2, 0, 1, 2, 1, 0, 3, 3, 4, 0, 3, 4, 1, 3, 3, 1, 1, 0, 3, 4, 4, 0, 0, 3, 0, 4, 1, 2, 2, 2, 4, 3, 3, 4, 2, 0, 0, 4, 1, 0, 4, 4, 4, 3, 1, 4, 4, 2, 3, 4, 0, 4, 0, 2, 1, 2, 1, 2, 3, 4, 2, 1, 2, 2, 0, 2, 0, 1, 4, 2, 4, 2, 2, 3, 3, 0, 0, 3, 2, 2, 3, 4, 3, 4, 4, 0, 0, 2, 1, 4, 3, 2, 2, 2, 3, 2, 1, 2, 1, 2, 0, 0, 3, 2, 1, 0, 1, 1, 4, 1, 1, 2, 3, 0, 4, 2, 1, 1, 0, 2, 4, 0, 0, 0, 0, 3, 0, 4, 1, 1, 3, 0, 0, 2, 3, 3, 2, 3, 4, 4, 0, 3, 0, 4, 0, 0, 2, 2, 4, 2, 3, 1, 0, 2, 2, 3, 4, 1, 4, 2, 1, 3, 2, 0, 2, 3, 4, 2, 3, 0, 1, 0, 0, 4, 1, 3, 1, 2, 3, 2, 1, 4, 4, 2] pubkeycol1721 = [0, 0, 3, 1, 2, 2, 4, 4, 3, 1, 4, 3, 1, 4, 4, 2, 1, 3, 1, 0, 1, 0, 4, 4, 0, 1, 4, 3, 3, 4, 2, 3, 0, 1, 3, 3, 4, 3, 2, 1, 1, 4, 4, 2, 2, 4, 3, 0, 2, 1, 0, 4, 3, 4, 3, 1, 3, 3, 4, 4, 2, 0, 4, 3, 4, 2, 3, 4, 0, 2, 2, 4, 4, 0, 4, 1, 3, 4, 4, 3, 3, 1, 0, 0, 0, 3, 4, 0, 1, 2, 2, 0, 1, 3, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 2, 3, 0, 2, 4, 2, 4, 3, 4, 0, 2, 1, 3, 0, 3, 4, 3, 0, 1, 4, 3, 3, 0, 3, 3, 2, 1, 1, 4, 4, 3, 1, 2, 2, 4, 3, 1, 4, 0, 3, 3, 3, 2, 0, 2, 2, 2, 1, 3, 2, 4, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 4, 1, 1, 2, 2, 3, 3, 1, 4, 0, 0, 2, 2, 0, 2, 0, 1, 1, 4, 2, 2, 3, 2, 3, 0, 3, 1, 2, 0, 4, 1, 2, 1, 4, 1, 0, 0, 1, 4, 2, 0, 3, 4, 2, 3, 4, 4, 4, 4, 1, 0, 3, 4, 3, 1, 3, 2, 0, 4, 0, 0, 3, 4, 4, 0, 4, 4, 2, 2, 0, 2, 0, 4, 3, 1, 1, 0, 4, 2, 4, 1, 3, 4, 2, 1, 3, 1, 1, 2, 3, 2, 1, 4, 4, 0, 1, 4, 2, 1, 3, 0, 4, 2, 3, 4, 1, 0, 4, 2, 0, 2, 0, 1, 0, 1, 4, 2, 2, 2, 4, 0, 3, 1, 1, 3, 1, 4, 1, 1, 0, 4, 2, 1, 1, 4, 2, 1, 3, 3, 2, 0, 0, 4, 3, 2, 2, 2, 3, 4, 4, 2, 2, 4, 2, 1, 2, 0, 4, 0, 4, 4, 3, 2, 1, 2, 0, 3, 1, 2, 0, 1, 4, 2, 1, 2, 4, 0, 3, 3, 2, 2, 0, 3, 0, 0, 1, 3, 2, 3, 3, 1, 2, 0, 3, 4, 2, 0, 1, 0, 2, 1, 0, 3, 2, 0, 4, 1, 4, 1, 0, 3, 4, 3, 3, 3, 1, 4, 1, 0, 3, 1, 4, 4, 1, 3, 2, 0, 3, 0, 2, 2, 2, 3, 0, 4, 4, 4, 3, 0, 2, 3, 1, 0, 0, 0, 3, 1, 1, 0, 3, 3, 1, 4, 2, 4, 1, 2, 3, 1, 4, 0, 3, 0, 3, 0, 4, 0, 1, 3, 1, 1, 1, 3, 3, 3, 2, 2, 2, 4, 3, 4, 1, 0, 2, 1, 0, 4, 1, 4, 0, 4, 0, 3, 0, 1, 0, 4, 4, 3, 4, 4, 3, 3, 2, 4, 0, 3, 3, 0, 0] pubkeycol1722 = [4, 2, 4, 1, 4, 0, 0, 0, 3, 4, 0, 4, 3, 1, 0, 2, 0, 0, 1, 0, 4, 0, 2, 4, 0, 4, 1, 3, 0, 4, 2, 4, 0, 4, 3, 4, 4, 0, 3, 1, 0, 1, 2, 3, 3, 3, 3, 3, 4, 1, 2, 1, 3, 3, 3, 1, 3, 1, 1, 4, 4, 1, 4, 2, 3, 1, 1, 1, 2, 0, 2, 0, 4, 0, 0, 1, 1, 2, 0, 1, 4, 1, 0, 1, 2, 2, 4, 0, 1, 0, 0, 1, 0, 0, 1, 3, 3, 2, 0, 2, 2, 1, 0, 1, 4, 3, 3, 1, 4, 2, 2, 3, 0, 1, 3, 4, 1, 0, 1, 4, 1, 1, 3, 2, 4, 4, 0, 2, 4, 2, 1, 4, 4, 3, 1, 3, 3, 1, 1, 0, 0, 2, 1, 1, 3, 0, 4, 2, 2, 0, 1, 3, 0, 0, 4, 1, 4, 4, 0, 0, 0, 4, 3, 3, 2, 3, 4, 2, 3, 2, 1, 1, 3, 0, 4, 0, 0, 0, 1, 0, 3, 1, 1, 3, 1, 0, 2, 4, 4, 3, 1, 0, 4, 0, 1, 1, 4, 2, 3, 2, 0, 4, 3, 2, 1, 1, 1, 2, 1, 3, 0, 0, 2, 1, 0, 1, 3, 4, 0, 0, 1, 1, 4, 2, 1, 0, 0, 3, 1, 3, 3, 3, 3, 3, 2, 2, 1, 3, 1, 4, 0, 2, 1, 4, 2, 3, 4, 4, 3, 1, 0, 1, 1, 4, 3, 1, 4, 1, 3, 0, 3, 1, 2, 1, 1, 1, 1, 4, 2, 1, 0, 0, 2, 4, 2, 4, 1, 1, 0, 2, 1, 3, 4, 4, 2, 0, 3, 2, 4, 0, 4, 2, 1, 3, 4, 1, 3, 0, 2, 0, 2, 1, 0, 2, 1, 0, 4, 1, 0, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 1, 3, 1, 4, 0, 3, 4, 1, 4, 2, 1, 3, 4, 2, 3, 2, 2, 3, 4, 1, 4, 1, 2, 2, 1, 2, 4, 2, 1, 2, 3, 3, 4, 4, 3, 0, 3, 1, 3, 0, 2, 4, 3, 2, 0, 4, 3, 1, 4, 2, 3, 1, 1, 0, 2, 0, 1, 0, 1, 1, 3, 3, 3, 0, 3, 2, 2, 3, 3, 4, 3, 0, 4, 2, 1, 3, 2, 4, 3, 4, 4, 1, 2, 2, 3, 3, 0, 0, 2, 2, 1, 3, 2, 2, 3, 4, 2, 2, 3, 2, 4, 0, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 3, 0, 3, 2, 0, 3, 3, 4, 1, 2, 4, 1, 2, 2, 1, 2, 1, 0, 0, 0, 4, 4, 4, 2, 3, 3, 4, 2, 0, 0, 3, 1, 1, 2, 1, 2, 4, 1, 4, 3, 1, 0, 3, 4, 3, 1, 1, 0, 2] pubkeycol1723 = [3, 4, 3, 1, 2, 4, 2, 1, 1, 4, 4, 1, 3, 2, 1, 4, 2, 4, 1, 0, 1, 3, 2, 4, 0, 4, 4, 0, 0, 0, 0, 4, 1, 3, 0, 2, 4, 3, 0, 2, 4, 2, 3, 2, 2, 2, 3, 4, 2, 0, 4, 0, 0, 3, 2, 4, 3, 0, 1, 2, 0, 3, 3, 4, 4, 3, 0, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 0, 4, 0, 3, 0, 0, 2, 1, 0, 1, 3, 1, 1, 4, 0, 4, 4, 2, 1, 4, 0, 0, 2, 0, 3, 2, 3, 0, 4, 4, 2, 1, 2, 2, 3, 0, 3, 1, 4, 2, 2, 4, 3, 4, 2, 3, 2, 0, 1, 3, 3, 0, 3, 3, 3, 0, 3, 1, 4, 2, 3, 1, 1, 2, 2, 1, 3, 0, 0, 0, 0, 0, 3, 3, 2, 0, 4, 3, 3, 2, 2, 0, 4, 1, 1, 4, 0, 3, 1, 3, 3, 0, 4, 4, 2, 1, 3, 4, 4, 4, 1, 2, 1, 2, 1, 1, 3, 4, 4, 1, 4, 4, 3, 1, 2, 4, 4, 2, 0, 0, 2, 4, 3, 3, 0, 2, 1, 4, 4, 3, 0, 2, 3, 4, 1, 3, 0, 3, 4, 3, 2, 4, 2, 0, 0, 0, 1, 4, 3, 1, 0, 0, 1, 1, 2, 0, 0, 4, 2, 2, 0, 4, 4, 0, 2, 0, 3, 4, 3, 2, 3, 2, 4, 3, 4, 4, 4, 1, 0, 3, 2, 0, 4, 0, 4, 1, 1, 2, 3, 1, 4, 0, 0, 3, 2, 1, 2, 3, 0, 1, 1, 3, 0, 0, 2, 2, 0, 1, 2, 3, 0, 4, 4, 1, 0, 0, 1, 0, 0, 3, 1, 2, 4, 0, 4, 0, 2, 0, 3, 1, 0, 2, 3, 4, 1, 4, 2, 2, 0, 3, 0, 2, 1, 4, 3, 2, 0, 4, 3, 4, 1, 0, 1, 3, 0, 2, 4, 3, 1, 4, 0, 4, 4, 2, 1, 3, 1, 1, 2, 0, 1, 1, 0, 4, 0, 2, 3, 3, 3, 2, 2, 3, 0, 3, 1, 4, 2, 4, 2, 0, 4, 3, 0, 2, 4, 4, 1, 2, 2, 0, 2, 1, 2, 4, 3, 3, 0, 0, 4, 2, 2, 4, 2, 1, 3, 3, 4, 3, 4, 0, 1, 2, 0, 3, 1, 1, 4, 2, 1, 2, 4, 1, 1, 0, 3, 2, 1, 4, 4, 2, 3, 3, 1, 2, 4, 4, 3, 2, 2, 4, 0, 3, 1, 1, 1, 1, 0, 4, 0, 0, 3, 2, 2, 4, 0, 4, 0, 4, 4, 1, 1, 1, 2, 1, 3, 0, 2, 3, 0, 2, 4, 3, 3, 4, 1, 4, 0, 0, 4, 3, 4, 1, 1, 2, 4, 3, 1, 4] pubkeycol1724 = [4, 2, 2, 1, 2, 0, 0, 1, 0, 3, 4, 3, 2, 4, 0, 0, 3, 0, 1, 1, 3, 2, 3, 1, 4, 3, 3, 2, 2, 4, 2, 1, 2, 1, 1, 0, 4, 3, 0, 4, 3, 1, 2, 3, 0, 1, 4, 4, 4, 1, 0, 0, 2, 0, 0, 3, 1, 0, 3, 4, 3, 2, 2, 4, 0, 0, 2, 4, 3, 0, 2, 2, 0, 0, 3, 3, 4, 2, 4, 4, 3, 3, 2, 3, 4, 2, 4, 2, 4, 4, 3, 3, 1, 2, 1, 0, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 0, 2, 3, 1, 1, 1, 1, 4, 4, 2, 1, 3, 3, 1, 1, 0, 2, 0, 4, 1, 1, 3, 3, 0, 1, 0, 0, 3, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 4, 4, 0, 3, 4, 2, 4, 2, 3, 4, 3, 3, 0, 2, 0, 3, 3, 4, 2, 1, 3, 0, 3, 3, 0, 0, 2, 0, 3, 3, 4, 3, 4, 0, 0, 4, 2, 2, 0, 3, 4, 4, 0, 4, 2, 2, 0, 4, 2, 2, 1, 1, 4, 4, 2, 2, 1, 1, 3, 2, 2, 4, 2, 0, 3, 4, 1, 3, 4, 4, 1, 2, 4, 1, 2, 2, 3, 0, 0, 4, 0, 2, 4, 4, 3, 4, 4, 3, 0, 0, 3, 2, 2, 3, 2, 0, 0, 0, 1, 0, 3, 4, 1, 0, 1, 3, 0, 4, 3, 1, 1, 0, 2, 4, 3, 2, 4, 1, 0, 1, 4, 3, 3, 2, 0, 0, 1, 0, 2, 3, 4, 3, 2, 4, 3, 4, 0, 4, 1, 3, 4, 0, 0, 1, 2, 4, 2, 2, 3, 0, 1, 3, 4, 2, 3, 3, 3, 4, 1, 2, 0, 4, 0, 3, 3, 3, 2, 3, 2, 3, 0, 4, 2, 1, 1, 1, 0, 3, 4, 2, 1, 3, 4, 2, 1, 4, 2, 2, 3, 4, 1, 1, 3, 1, 2, 2, 1, 1, 3, 4, 2, 0, 1, 3, 0, 3, 0, 1, 3, 1, 2, 4, 0, 3, 2, 1, 4, 3, 1, 2, 4, 3, 0, 0, 3, 1, 3, 3, 1, 3, 4, 1, 3, 4, 0, 4, 1, 0, 3, 1, 0, 4, 2, 4, 1, 0, 1, 4, 3, 3, 3, 4, 4, 3, 0, 0, 4, 1, 3, 4, 2, 0, 2, 0, 2, 0, 0, 3, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 4, 3, 4, 0, 1, 4, 0, 0, 3, 0, 4, 3, 1, 0, 0, 3, 2, 0, 2, 2, 0, 2, 2, 4, 4, 4, 0, 1, 0, 2, 3, 2, 0, 0, 4, 4, 0, 3, 1, 2, 1, 1, 2, 4, 1, 1, 3, 0, 3, 2, 3, 2, 2, 1, 4, 1] pubkeycol1725 = [0, 2, 0, 2, 1, 4, 2, 1, 1, 0, 2, 4, 3, 2, 2, 2, 2, 1, 2, 3, 1, 2, 4, 1, 3, 2, 0, 2, 1, 0, 2, 4, 4, 3, 1, 4, 1, 2, 1, 4, 1, 4, 0, 2, 3, 0, 4, 1, 3, 4, 3, 0, 2, 1, 4, 2, 3, 0, 0, 3, 1, 4, 2, 1, 0, 3, 2, 3, 2, 0, 1, 3, 0, 1, 2, 1, 1, 4, 4, 2, 1, 1, 4, 1, 3, 0, 1, 2, 0, 1, 4, 4, 4, 4, 3, 2, 4, 2, 3, 1, 2, 3, 1, 0, 3, 1, 3, 3, 0, 3, 4, 3, 2, 0, 1, 2, 4, 3, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 3, 2, 2, 3, 4, 2, 3, 1, 1, 1, 4, 1, 0, 0, 0, 3, 3, 0, 1, 1, 3, 2, 1, 3, 0, 3, 0, 2, 1, 4, 2, 0, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 0, 4, 0, 4, 2, 0, 4, 3, 1, 0, 0, 4, 1, 0, 1, 3, 3, 2, 2, 2, 1, 1, 3, 0, 2, 4, 3, 2, 0, 0, 4, 3, 1, 1, 2, 4, 4, 1, 1, 0, 2, 3, 0, 0, 1, 1, 4, 0, 0, 1, 1, 4, 3, 3, 2, 4, 0, 0, 2, 4, 2, 3, 4, 0, 3, 2, 3, 4, 1, 2, 4, 2, 4, 0, 3, 2, 4, 1, 4, 1, 0, 2, 1, 2, 3, 3, 2, 3, 2, 0, 3, 1, 2, 2, 0, 0, 3, 1, 3, 0, 2, 3, 0, 2, 4, 3, 0, 1, 2, 4, 1, 0, 0, 1, 3, 4, 4, 0, 2, 2, 0, 4, 0, 2, 3, 3, 1, 2, 3, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 3, 1, 3, 2, 1, 0, 4, 3, 3, 2, 4, 2, 1, 1, 1, 0, 2, 0, 1, 1, 4, 0, 2, 1, 0, 4, 4, 4, 4, 3, 4, 3, 1, 0, 0, 1, 3, 1, 0, 0, 1, 4, 3, 1, 2, 0, 0, 4, 4, 1, 2, 1, 2, 3, 2, 4, 4, 2, 0, 3, 1, 2, 3, 1, 2, 4, 4, 3, 2, 0, 0, 1, 4, 0, 2, 4, 3, 4, 1, 3, 1, 0, 4, 1, 0, 4, 3, 0, 0, 1, 3, 0, 2, 3, 4, 4, 0, 0, 2, 3, 1, 2, 1, 1, 0, 1, 1, 0, 3, 0, 4, 4, 4, 3, 1, 1, 2, 0, 4, 0, 4, 4, 1, 4, 2, 1, 3, 0, 2, 4, 2, 3, 0, 2, 2, 1, 1, 4, 1, 4, 2, 1, 4, 3, 3, 1, 4, 2, 2, 0, 2, 0, 2, 3, 4, 3, 2, 2, 2, 4, 0, 3, 4, 1, 0, 2, 1, 0, 3, 3] pubkeycol1726 = [0, 4, 2, 1, 4, 3, 3, 2, 2, 0, 3, 3, 2, 3, 4, 2, 1, 0, 3, 4, 0, 3, 2, 1, 0, 3, 4, 3, 1, 2, 4, 3, 2, 1, 1, 4, 4, 2, 3, 4, 1, 2, 2, 0, 3, 4, 3, 2, 4, 2, 4, 4, 2, 2, 4, 3, 3, 4, 0, 1, 0, 3, 2, 2, 4, 0, 1, 4, 4, 3, 0, 3, 1, 4, 3, 1, 3, 1, 1, 4, 3, 0, 3, 3, 1, 0, 1, 4, 3, 3, 0, 1, 0, 1, 3, 3, 4, 3, 1, 4, 1, 2, 0, 4, 2, 4, 1, 0, 4, 0, 4, 1, 4, 0, 3, 0, 0, 4, 1, 2, 2, 0, 2, 3, 1, 0, 4, 4, 3, 0, 2, 2, 4, 1, 0, 1, 1, 2, 4, 2, 4, 1, 4, 4, 2, 3, 2, 4, 2, 1, 1, 4, 1, 1, 1, 0, 1, 2, 2, 4, 3, 1, 3, 1, 3, 4, 3, 0, 4, 4, 3, 1, 2, 4, 3, 0, 0, 0, 0, 4, 0, 2, 0, 4, 0, 2, 2, 3, 3, 4, 2, 4, 1, 0, 2, 0, 2, 0, 1, 0, 3, 2, 0, 4, 3, 4, 3, 1, 1, 0, 2, 1, 0, 4, 3, 3, 0, 1, 0, 4, 0, 3, 3, 2, 1, 2, 1, 0, 3, 1, 3, 4, 3, 3, 3, 4, 4, 3, 0, 2, 0, 1, 4, 2, 3, 4, 2, 4, 1, 3, 3, 2, 0, 4, 0, 0, 4, 0, 3, 3, 0, 2, 1, 1, 2, 1, 3, 4, 4, 0, 4, 2, 3, 3, 4, 0, 0, 2, 1, 4, 4, 2, 0, 2, 2, 2, 3, 2, 3, 1, 3, 1, 0, 4, 4, 2, 3, 2, 1, 3, 0, 3, 0, 2, 0, 4, 4, 0, 1, 4, 1, 1, 3, 4, 2, 3, 4, 0, 0, 3, 3, 0, 3, 3, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 4, 0, 0, 4, 0, 2, 0, 3, 4, 0, 0, 0, 2, 3, 2, 4, 2, 1, 0, 4, 1, 3, 4, 4, 2, 0, 4, 3, 1, 2, 3, 4, 4, 1, 0, 2, 3, 1, 0, 4, 3, 0, 3, 1, 4, 0, 4, 3, 0, 4, 4, 0, 3, 4, 0, 0, 2, 1, 3, 2, 0, 2, 3, 4, 3, 3, 3, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 3, 4, 1, 2, 3, 0, 1, 2, 0, 3, 3, 4, 0, 2, 4, 3, 1, 0, 0, 0, 0, 2, 2, 0, 0, 3, 2, 3, 4, 4, 3, 4, 1, 4, 2, 4, 1, 0, 1, 3, 0, 1, 2, 2, 3, 0, 0, 0, 4, 3, 3, 3, 4, 3, 4, 0, 0, 2, 4, 4, 0, 0, 3, 0, 1, 4, 1, 3, 0] pubkeycol1727 = [0, 3, 2, 2, 2, 0, 3, 3, 2, 0, 3, 2, 1, 2, 2, 3, 3, 1, 0, 2, 0, 0, 1, 0, 4, 3, 0, 2, 2, 1, 2, 2, 0, 4, 4, 0, 3, 0, 4, 4, 0, 1, 3, 2, 2, 0, 0, 1, 2, 3, 4, 0, 3, 3, 3, 3, 3, 4, 3, 4, 3, 0, 2, 3, 1, 2, 2, 0, 3, 0, 1, 0, 0, 4, 1, 3, 3, 1, 3, 3, 4, 2, 1, 3, 0, 0, 0, 4, 1, 2, 4, 2, 4, 0, 3, 3, 2, 4, 0, 3, 0, 3, 4, 2, 4, 3, 4, 0, 4, 2, 4, 4, 4, 2, 3, 0, 2, 2, 0, 3, 3, 2, 3, 0, 0, 2, 3, 4, 3, 4, 1, 3, 1, 2, 3, 1, 4, 0, 4, 0, 2, 1, 0, 2, 3, 0, 2, 4, 1, 1, 4, 2, 4, 2, 2, 2, 2, 1, 1, 0, 3, 0, 2, 0, 0, 1, 0, 2, 3, 3, 3, 0, 1, 1, 2, 4, 4, 2, 4, 1, 3, 3, 4, 3, 2, 1, 0, 1, 0, 3, 1, 3, 3, 2, 1, 2, 0, 4, 1, 4, 2, 2, 3, 4, 0, 1, 0, 0, 1, 0, 4, 4, 0, 3, 2, 2, 1, 1, 1, 0, 4, 3, 1, 4, 3, 1, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 2, 0, 3, 2, 1, 1, 4, 0, 4, 1, 2, 3, 3, 0, 0, 3, 3, 1, 0, 3, 1, 2, 3, 4, 0, 3, 3, 4, 2, 1, 3, 4, 4, 1, 1, 0, 1, 3, 0, 1, 2, 2, 0, 2, 3, 4, 1, 3, 3, 2, 0, 2, 4, 2, 0, 2, 4, 0, 4, 3, 0, 4, 2, 0, 1, 3, 2, 0, 4, 3, 2, 2, 2, 3, 1, 3, 1, 1, 4, 0, 2, 4, 3, 2, 1, 2, 0, 2, 0, 4, 2, 1, 1, 3, 2, 1, 3, 3, 4, 2, 0, 3, 3, 0, 2, 2, 2, 2, 3, 2, 4, 0, 2, 1, 3, 3, 3, 4, 0, 1, 1, 4, 4, 0, 0, 3, 1, 0, 1, 4, 0, 2, 1, 1, 4, 4, 0, 0, 1, 1, 2, 3, 3, 0, 2, 2, 0, 3, 1, 0, 1, 0, 3, 4, 3, 1, 1, 3, 0, 0, 4, 3, 1, 3, 3, 1, 2, 1, 0, 3, 4, 0, 1, 0, 0, 4, 0, 3, 1, 2, 1, 2, 2, 2, 4, 1, 3, 2, 1, 4, 4, 0, 0, 3, 0, 3, 4, 2, 2, 3, 0, 2, 0, 1, 3, 1, 1, 1, 4, 0, 1, 3, 1, 0, 4, 2, 3, 1, 1, 3, 0, 3, 3, 4, 0, 2, 0, 1, 1, 3, 0, 0, 2, 1, 1, 4, 4, 4, 2, 2, 1, 2, 4, 0] pubkeycol1728 = [3, 1, 1, 2, 0, 4, 0, 4, 0, 2, 4, 4, 2, 3, 3, 1, 2, 0, 0, 1, 1, 4, 3, 1, 2, 2, 0, 0, 2, 4, 1, 3, 3, 4, 1, 0, 0, 0, 0, 2, 3, 2, 2, 1, 1, 4, 3, 0, 4, 0, 2, 1, 3, 0, 0, 1, 1, 0, 3, 1, 1, 2, 0, 1, 3, 0, 3, 0, 0, 4, 3, 4, 0, 1, 3, 1, 4, 2, 0, 0, 1, 1, 4, 1, 3, 4, 4, 3, 1, 3, 1, 0, 1, 0, 0, 2, 4, 2, 1, 0, 4, 4, 0, 2, 3, 2, 1, 2, 1, 4, 2, 4, 4, 2, 4, 4, 1, 4, 2, 4, 2, 2, 0, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 0, 3, 0, 2, 1, 1, 1, 4, 1, 2, 4, 1, 0, 3, 4, 2, 3, 0, 3, 0, 2, 1, 3, 4, 0, 4, 1, 1, 0, 1, 2, 1, 2, 1, 3, 1, 0, 1, 4, 0, 1, 4, 3, 4, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 0, 1, 2, 0, 4, 3, 1, 4, 4, 4, 2, 4, 2, 0, 2, 3, 2, 0, 3, 3, 4, 2, 3, 1, 3, 3, 3, 3, 0, 4, 0, 1, 1, 2, 0, 0, 0, 4, 3, 0, 2, 1, 2, 2, 4, 4, 4, 4, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 1, 0, 1, 2, 3, 1, 0, 4, 0, 0, 1, 1, 4, 4, 2, 2, 2, 3, 2, 1, 2, 3, 0, 0, 2, 0, 1, 0, 3, 4, 2, 0, 2, 3, 2, 1, 4, 4, 3, 4, 0, 3, 4, 1, 3, 3, 3, 1, 1, 0, 0, 1, 3, 4, 0, 4, 2, 1, 2, 4, 2, 0, 0, 2, 2, 1, 3, 3, 4, 3, 0, 4, 1, 0, 0, 2, 0, 0, 2, 4, 4, 0, 4, 1, 0, 2, 0, 0, 1, 1, 0, 0, 4, 4, 4, 1, 2, 2, 1, 3, 0, 0, 2, 2, 3, 2, 1, 2, 3, 4, 3, 4, 3, 2, 3, 1, 2, 2, 1, 3, 1, 3, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 4, 1, 4, 2, 0, 2, 0, 3, 1, 1, 0, 3, 3, 3, 1, 3, 3, 4, 3, 4, 4, 2, 0, 4, 4, 1, 4, 0, 4, 3, 0, 0, 2, 1, 3, 3, 2, 1, 3, 1, 4, 3, 4, 2, 4, 4, 0, 1, 3, 2, 0, 2, 2, 4, 3, 3, 1, 0, 1, 2, 4, 4, 0, 3, 0, 3, 3, 0, 1, 0, 3, 3, 1, 0, 4, 4, 2, 4, 1, 1, 1, 3, 3, 2, 0, 4, 0, 3, 3, 3, 4, 0, 1, 4, 0, 4, 2, 3, 0] pubkeycol1729 = [4, 3, 2, 3, 3, 4, 1, 1, 3, 2, 2, 3, 0, 1, 2, 1, 2, 0, 2, 3, 0, 0, 4, 0, 3, 2, 2, 4, 4, 2, 2, 1, 2, 0, 2, 4, 4, 2, 1, 4, 2, 3, 2, 4, 3, 3, 0, 1, 2, 4, 1, 3, 4, 0, 0, 4, 0, 1, 3, 4, 0, 4, 1, 3, 4, 1, 4, 3, 4, 2, 1, 4, 4, 2, 1, 0, 2, 0, 3, 4, 1, 1, 3, 0, 1, 2, 3, 2, 0, 3, 0, 4, 2, 2, 3, 1, 4, 0, 3, 1, 3, 2, 4, 3, 2, 0, 0, 4, 2, 0, 2, 3, 0, 0, 1, 0, 1, 2, 4, 0, 4, 3, 4, 1, 2, 0, 1, 1, 3, 3, 2, 2, 2, 2, 2, 4, 1, 1, 2, 3, 2, 1, 2, 4, 4, 1, 0, 4, 0, 2, 0, 1, 0, 3, 1, 2, 3, 3, 3, 4, 2, 4, 3, 4, 1, 3, 0, 1, 2, 2, 2, 3, 3, 4, 0, 1, 1, 3, 4, 4, 2, 2, 1, 0, 2, 4, 3, 0, 0, 3, 4, 1, 4, 0, 1, 1, 2, 2, 0, 2, 2, 0, 3, 2, 3, 2, 0, 0, 4, 1, 0, 2, 2, 4, 0, 1, 2, 1, 1, 3, 3, 3, 2, 3, 0, 0, 0, 1, 2, 2, 4, 4, 3, 3, 4, 0, 0, 1, 0, 2, 3, 1, 0, 3, 0, 1, 0, 1, 4, 0, 2, 1, 3, 1, 3, 1, 0, 4, 4, 1, 0, 1, 4, 4, 2, 4, 1, 1, 4, 2, 3, 1, 2, 4, 2, 3, 4, 4, 0, 4, 0, 4, 0, 0, 4, 4, 2, 0, 2, 1, 1, 2, 3, 0, 4, 2, 2, 2, 2, 0, 4, 3, 4, 1, 2, 1, 1, 2, 4, 0, 1, 2, 0, 2, 2, 1, 0, 4, 0, 1, 0, 3, 2, 3, 0, 3, 4, 2, 0, 1, 1, 1, 3, 3, 3, 4, 0, 2, 3, 2, 2, 0, 0, 2, 0, 4, 3, 2, 3, 4, 4, 1, 3, 2, 1, 2, 1, 3, 3, 1, 3, 4, 1, 1, 4, 2, 4, 4, 2, 0, 1, 4, 2, 0, 0, 0, 2, 0, 3, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 3, 3, 4, 0, 4, 0, 0, 2, 0, 0, 1, 2, 4, 1, 3, 0, 3, 1, 0, 2, 0, 1, 3, 4, 1, 2, 4, 4, 0, 2, 1, 3, 1, 2, 3, 1, 2, 3, 2, 2, 2, 1, 1, 2, 4, 2, 1, 4, 1, 4, 2, 4, 4, 1, 4, 0, 4, 3, 3, 3, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 0, 0, 0, 4, 3, 4, 2, 3, 1, 2, 1, 1, 1, 3, 0] pubkeycol1730 = [4, 1, 1, 3, 0, 4, 1, 4, 1, 4, 1, 4, 4, 1, 2, 0, 4, 4, 3, 4, 0, 1, 4, 4, 3, 4, 1, 0, 3, 4, 2, 2, 3, 0, 1, 2, 4, 3, 1, 3, 1, 2, 0, 3, 1, 1, 0, 0, 4, 0, 2, 4, 1, 4, 4, 3, 1, 1, 1, 4, 3, 1, 1, 4, 0, 3, 0, 1, 1, 2, 4, 2, 1, 4, 2, 0, 0, 2, 3, 4, 4, 0, 3, 2, 4, 3, 0, 3, 1, 1, 4, 2, 4, 4, 1, 0, 2, 0, 0, 2, 3, 2, 0, 2, 1, 2, 4, 1, 0, 2, 2, 0, 2, 2, 4, 0, 0, 3, 1, 0, 0, 4, 2, 3, 2, 3, 0, 2, 4, 4, 0, 3, 4, 1, 3, 3, 3, 1, 1, 1, 1, 4, 1, 4, 2, 2, 4, 0, 0, 0, 4, 1, 0, 0, 0, 1, 4, 0, 4, 2, 3, 4, 1, 0, 1, 2, 0, 4, 3, 0, 3, 1, 0, 3, 2, 1, 2, 2, 0, 0, 1, 0, 4, 3, 1, 1, 3, 4, 1, 0, 0, 1, 4, 0, 3, 4, 0, 2, 0, 4, 3, 3, 0, 3, 0, 1, 2, 2, 4, 2, 3, 3, 1, 4, 2, 2, 0, 3, 3, 1, 1, 0, 3, 4, 3, 0, 1, 0, 0, 0, 4, 3, 0, 4, 0, 0, 3, 0, 3, 3, 0, 4, 3, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 3, 3, 4, 1, 1, 0, 2, 3, 4, 2, 0, 4, 3, 0, 3, 1, 2, 1, 1, 0, 3, 2, 3, 0, 2, 4, 0, 4, 0, 2, 4, 1, 2, 1, 4, 3, 0, 1, 1, 4, 2, 4, 2, 0, 1, 3, 3, 4, 3, 2, 0, 2, 4, 1, 0, 3, 3, 0, 2, 1, 3, 1, 3, 4, 4, 3, 0, 0, 2, 1, 3, 2, 1, 3, 3, 0, 4, 0, 1, 3, 4, 0, 3, 1, 0, 1, 2, 4, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 3, 1, 3, 3, 1, 0, 0, 2, 0, 3, 1, 1, 1, 0, 4, 0, 1, 2, 4, 1, 3, 4, 1, 2, 1, 2, 1, 3, 4, 2, 2, 4, 1, 3, 3, 4, 1, 0, 4, 2, 0, 0, 1, 1, 2, 3, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 4, 2, 1, 3, 0, 0, 1, 0, 2, 3, 3, 4, 3, 2, 0, 4, 2, 2, 3, 3, 3, 0, 3, 0, 4, 0, 1, 3, 0, 1, 4, 2, 4, 4, 0, 4, 4, 1, 2, 2, 4, 1, 4, 4, 0, 1, 4, 1, 3, 0, 0, 4, 4, 4, 4, 1, 4, 0, 2, 4, 0, 4, 2, 4, 1, 1, 4, 0] pubkeycol1731 = [1, 2, 1, 1, 3, 4, 4, 2, 2, 1, 1, 4, 0, 4, 1, 4, 3, 2, 2, 4, 1, 3, 2, 1, 1, 4, 0, 2, 2, 4, 4, 1, 1, 4, 2, 0, 4, 1, 2, 1, 3, 2, 4, 0, 0, 0, 1, 2, 1, 2, 4, 2, 2, 3, 2, 2, 4, 1, 0, 3, 3, 3, 0, 4, 2, 4, 0, 0, 2, 3, 2, 3, 3, 1, 0, 1, 4, 4, 1, 1, 4, 0, 2, 1, 4, 1, 1, 3, 4, 3, 2, 2, 1, 4, 2, 2, 3, 2, 4, 1, 3, 4, 0, 2, 4, 0, 3, 1, 3, 4, 3, 3, 1, 1, 1, 4, 1, 0, 4, 1, 4, 4, 4, 3, 4, 1, 2, 2, 0, 4, 4, 2, 1, 3, 1, 4, 3, 1, 2, 0, 1, 4, 3, 0, 4, 1, 4, 3, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 3, 2, 4, 3, 2, 3, 3, 3, 1, 4, 3, 4, 0, 3, 3, 3, 0, 0, 0, 1, 4, 3, 4, 1, 0, 4, 1, 2, 1, 3, 0, 0, 2, 2, 0, 3, 0, 3, 1, 0, 3, 1, 2, 2, 0, 1, 4, 3, 1, 3, 4, 2, 0, 3, 3, 2, 3, 4, 3, 2, 1, 2, 4, 0, 0, 1, 3, 2, 2, 4, 3, 3, 3, 3, 4, 3, 1, 1, 2, 3, 3, 2, 0, 4, 1, 1, 1, 2, 2, 4, 1, 3, 2, 0, 2, 1, 1, 2, 3, 0, 3, 3, 0, 2, 3, 0, 1, 4, 1, 2, 0, 3, 3, 0, 2, 0, 2, 4, 1, 4, 2, 3, 0, 4, 1, 1, 3, 1, 4, 4, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 3, 0, 3, 4, 0, 2, 0, 4, 3, 3, 3, 0, 3, 0, 3, 2, 0, 0, 2, 3, 4, 4, 0, 1, 2, 2, 3, 4, 3, 0, 1, 3, 4, 2, 4, 4, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 3, 1, 4, 0, 2, 4, 3, 3, 3, 2, 3, 4, 4, 2, 1, 1, 3, 2, 3, 3, 1, 3, 0, 3, 1, 1, 2, 3, 0, 4, 2, 2, 1, 0, 4, 1, 1, 1, 3, 2, 3, 4, 3, 2, 3, 1, 0, 3, 1, 4, 3, 1, 4, 0, 3, 1, 3, 0, 0, 3, 3, 4, 3, 1, 4, 1, 0, 2, 1, 0, 1, 0, 2, 4, 1, 1, 2, 0, 2, 2, 3, 0, 3, 3, 2, 2, 2, 4, 2, 3, 3, 4, 1, 1, 2, 0, 0, 1, 3, 1, 0, 1, 0, 2, 4, 1, 0, 0, 4, 3, 1, 0, 2, 2, 3, 1, 4, 1, 1, 2, 3, 0, 1, 1, 4, 2, 1, 2, 2, 1, 0, 3, 2] pubkeycol1732 = [3, 2, 1, 0, 0, 1, 3, 0, 3, 4, 2, 3, 0, 3, 0, 1, 2, 4, 4, 3, 4, 0, 0, 1, 3, 3, 1, 0, 0, 0, 4, 2, 2, 3, 1, 3, 0, 3, 4, 1, 2, 3, 3, 4, 0, 1, 1, 2, 4, 3, 2, 3, 4, 2, 2, 3, 1, 1, 1, 4, 3, 2, 4, 2, 3, 1, 1, 1, 3, 1, 3, 3, 3, 0, 2, 4, 4, 2, 2, 2, 3, 1, 0, 3, 4, 4, 3, 1, 1, 1, 4, 0, 4, 4, 3, 0, 2, 4, 1, 3, 2, 2, 3, 4, 3, 1, 3, 3, 0, 3, 3, 1, 3, 2, 4, 3, 0, 0, 1, 1, 3, 2, 3, 4, 1, 4, 4, 2, 4, 0, 1, 0, 0, 0, 3, 4, 2, 3, 2, 3, 0, 3, 1, 0, 3, 0, 1, 4, 1, 3, 0, 1, 3, 4, 1, 1, 3, 4, 1, 0, 3, 2, 1, 0, 3, 4, 4, 4, 2, 3, 1, 0, 4, 0, 1, 2, 3, 4, 0, 1, 1, 4, 3, 4, 4, 0, 4, 0, 2, 4, 3, 1, 4, 1, 3, 3, 2, 2, 3, 3, 4, 3, 0, 0, 3, 3, 0, 0, 4, 2, 0, 3, 2, 3, 4, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 3, 0, 2, 0, 4, 4, 0, 1, 4, 1, 3, 1, 1, 2, 3, 2, 3, 2, 0, 3, 3, 0, 1, 0, 1, 2, 3, 2, 1, 3, 2, 2, 0, 2, 4, 0, 0, 2, 0, 0, 1, 2, 4, 4, 1, 0, 1, 3, 2, 0, 1, 1, 2, 4, 2, 1, 1, 0, 3, 4, 2, 2, 4, 1, 3, 0, 3, 4, 4, 0, 1, 4, 2, 3, 1, 4, 2, 0, 1, 0, 0, 0, 4, 1, 2, 3, 4, 2, 4, 2, 1, 0, 1, 0, 3, 4, 4, 0, 4, 4, 2, 2, 1, 0, 1, 2, 4, 4, 4, 1, 4, 1, 0, 2, 4, 3, 3, 2, 3, 1, 3, 4, 1, 2, 1, 1, 2, 4, 4, 1, 2, 2, 1, 2, 1, 4, 3, 1, 2, 1, 3, 3, 1, 1, 3, 4, 1, 0, 1, 4, 1, 0, 0, 4, 0, 1, 1, 4, 0, 2, 3, 1, 0, 3, 1, 3, 4, 2, 4, 1, 1, 4, 3, 1, 3, 3, 3, 1, 4, 4, 3, 0, 3, 4, 3, 0, 4, 1, 3, 2, 4, 2, 0, 3, 0, 3, 3, 4, 2, 3, 0, 1, 3, 3, 0, 2, 1, 3, 4, 2, 4, 2, 2, 0, 2, 0, 0, 0, 4, 2, 2, 3, 0, 1, 0, 3, 1, 3, 0, 1, 0, 2, 1, 4, 0, 1, 4, 4, 2, 4, 4, 1, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4] pubkeycol1733 = [4, 1, 3, 4, 3, 3, 2, 4, 1, 0, 2, 2, 2, 2, 1, 4, 0, 2, 4, 4, 1, 3, 3, 3, 3, 3, 1, 1, 0, 3, 4, 2, 0, 1, 4, 3, 3, 2, 2, 3, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 3, 4, 1, 3, 0, 3, 3, 2, 2, 1, 3, 1, 2, 0, 1, 4, 0, 0, 1, 2, 4, 1, 3, 0, 2, 3, 3, 3, 2, 1, 4, 3, 2, 0, 0, 0, 0, 0, 2, 4, 1, 0, 2, 4, 3, 2, 2, 0, 0, 0, 3, 1, 0, 0, 2, 3, 3, 1, 3, 1, 1, 4, 3, 4, 1, 4, 4, 3, 4, 0, 4, 4, 0, 0, 0, 2, 3, 2, 0, 1, 4, 4, 2, 1, 0, 4, 1, 0, 2, 3, 1, 3, 4, 0, 4, 2, 1, 1, 2, 3, 4, 3, 2, 4, 1, 4, 2, 4, 1, 3, 0, 3, 0, 3, 2, 3, 4, 0, 4, 4, 1, 1, 2, 2, 0, 2, 1, 1, 1, 4, 2, 1, 3, 3, 4, 1, 4, 0, 0, 3, 2, 4, 2, 4, 0, 4, 4, 2, 2, 1, 2, 3, 0, 0, 0, 3, 2, 4, 2, 4, 2, 1, 0, 3, 1, 1, 4, 4, 1, 1, 0, 4, 0, 2, 0, 1, 2, 2, 1, 0, 3, 1, 2, 1, 1, 1, 3, 4, 0, 2, 3, 2, 1, 1, 0, 4, 3, 3, 4, 4, 0, 0, 3, 3, 3, 4, 2, 3, 0, 1, 2, 0, 2, 4, 1, 3, 1, 1, 0, 3, 0, 2, 1, 2, 0, 2, 4, 2, 0, 3, 2, 3, 4, 2, 1, 4, 1, 0, 2, 3, 3, 4, 4, 2, 2, 1, 4, 0, 1, 3, 3, 4, 4, 3, 3, 3, 3, 1, 2, 1, 4, 3, 4, 4, 0, 4, 4, 2, 0, 1, 4, 4, 2, 4, 1, 4, 3, 1, 1, 2, 1, 4, 3, 2, 3, 1, 1, 0, 4, 4, 0, 1, 0, 1, 2, 2, 3, 3, 1, 1, 1, 4, 3, 0, 2, 0, 2, 2, 1, 4, 1, 3, 1, 4, 1, 4, 3, 0, 1, 0, 3, 0, 0, 0, 1, 4, 1, 3, 3, 3, 1, 2, 2, 3, 3, 0, 3, 3, 3, 1, 1, 0, 0, 3, 4, 2, 0, 3, 1, 1, 1, 1, 3, 3, 2, 1, 3, 2, 2, 0, 3, 2, 2, 3, 2, 2, 4, 1, 3, 0, 4, 0, 0, 2, 0, 4, 4, 1, 0, 4, 1, 4, 1, 2, 3, 4, 1, 4, 2, 0, 4, 3, 0, 1, 3, 0, 0, 3, 3, 2, 3, 4, 3, 3, 0, 2, 1, 1, 4, 4, 2, 1, 4, 2, 1, 0, 4, 1, 2, 2, 1, 1, 4, 4, 4, 2, 3, 4, 0] pubkeycol1734 = [3, 2, 0, 0, 3, 4, 4, 1, 3, 1, 1, 2, 2, 1, 2, 1, 1, 0, 4, 2, 1, 4, 1, 0, 0, 4, 0, 1, 0, 1, 2, 0, 3, 4, 2, 2, 3, 4, 4, 2, 0, 4, 0, 4, 4, 1, 2, 1, 3, 2, 3, 2, 1, 2, 0, 0, 1, 0, 3, 0, 3, 1, 3, 2, 0, 4, 0, 3, 2, 3, 4, 1, 1, 1, 1, 4, 1, 0, 4, 4, 2, 2, 0, 3, 2, 0, 0, 3, 2, 0, 3, 3, 0, 4, 3, 3, 4, 0, 2, 2, 1, 3, 0, 4, 4, 4, 3, 2, 3, 0, 3, 1, 3, 1, 3, 3, 1, 0, 3, 3, 4, 2, 2, 0, 2, 2, 4, 2, 1, 1, 4, 3, 4, 2, 4, 4, 3, 1, 1, 3, 0, 1, 4, 1, 0, 0, 0, 4, 4, 2, 0, 0, 3, 3, 3, 0, 0, 1, 3, 1, 1, 3, 4, 4, 3, 4, 1, 2, 3, 3, 1, 4, 1, 4, 2, 2, 4, 1, 4, 2, 3, 3, 0, 3, 1, 4, 1, 3, 3, 1, 0, 3, 2, 2, 0, 4, 2, 3, 2, 4, 1, 3, 1, 1, 2, 0, 1, 4, 2, 2, 0, 2, 4, 4, 1, 0, 2, 1, 1, 3, 4, 2, 3, 2, 4, 2, 2, 2, 1, 0, 2, 0, 1, 3, 2, 2, 0, 1, 2, 4, 1, 2, 4, 0, 4, 0, 2, 4, 1, 2, 2, 0, 4, 1, 2, 2, 4, 1, 3, 1, 2, 3, 3, 0, 3, 2, 4, 3, 0, 4, 4, 4, 2, 0, 2, 2, 1, 4, 3, 1, 3, 4, 3, 0, 4, 1, 2, 0, 0, 0, 3, 0, 1, 2, 3, 0, 4, 1, 1, 1, 3, 4, 3, 4, 4, 3, 3, 3, 4, 0, 1, 0, 0, 0, 1, 1, 4, 1, 2, 4, 2, 1, 2, 4, 4, 4, 3, 3, 3, 0, 1, 2, 2, 0, 2, 0, 1, 3, 2, 3, 1, 3, 0, 2, 2, 1, 1, 3, 0, 3, 1, 0, 0, 3, 4, 1, 0, 0, 2, 2, 0, 2, 2, 4, 4, 1, 4, 2, 3, 0, 4, 4, 3, 0, 0, 3, 0, 4, 3, 0, 4, 2, 4, 1, 3, 1, 3, 1, 2, 4, 3, 0, 2, 2, 2, 0, 3, 2, 4, 1, 0, 3, 1, 4, 1, 1, 4, 3, 3, 3, 4, 1, 4, 2, 3, 1, 1, 2, 2, 3, 1, 0, 3, 4, 1, 2, 4, 4, 4, 2, 0, 2, 0, 2, 1, 2, 3, 4, 3, 3, 1, 3, 1, 2, 4, 1, 2, 0, 2, 2, 2, 4, 2, 4, 1, 0, 2, 2, 2, 2, 4, 1, 4, 0, 1, 1, 4, 3, 4, 1, 1, 1, 0, 3, 0, 0, 3, 1, 3, 2] pubkeycol1735 = [1, 3, 4, 1, 2, 0, 3, 0, 1, 0, 3, 3, 2, 2, 2, 0, 2, 1, 0, 3, 1, 0, 4, 3, 4, 0, 2, 2, 3, 2, 0, 0, 3, 1, 4, 2, 4, 1, 4, 3, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 3, 4, 0, 3, 2, 2, 4, 2, 0, 2, 3, 2, 0, 3, 0, 2, 2, 3, 2, 1, 3, 1, 4, 1, 3, 2, 4, 1, 2, 3, 1, 4, 4, 4, 1, 3, 0, 4, 2, 2, 0, 1, 3, 0, 0, 0, 3, 4, 1, 3, 4, 3, 3, 2, 1, 2, 3, 2, 3, 3, 4, 4, 2, 4, 3, 3, 1, 1, 4, 2, 0, 3, 1, 2, 3, 1, 0, 2, 0, 1, 2, 2, 3, 3, 2, 4, 1, 3, 4, 0, 3, 2, 4, 1, 4, 0, 4, 2, 2, 1, 4, 4, 0, 1, 1, 2, 2, 0, 3, 1, 1, 3, 3, 4, 2, 0, 3, 0, 2, 2, 4, 1, 1, 4, 2, 2, 0, 1, 4, 4, 1, 1, 0, 3, 3, 3, 2, 4, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 4, 3, 0, 3, 4, 4, 3, 1, 3, 3, 4, 0, 1, 3, 1, 4, 2, 4, 3, 1, 4, 4, 0, 1, 0, 1, 3, 1, 1, 2, 3, 4, 0, 4, 2, 2, 0, 0, 4, 4, 3, 3, 0, 2, 3, 3, 4, 2, 3, 3, 1, 0, 1, 2, 3, 3, 2, 1, 4, 1, 4, 4, 3, 2, 3, 1, 0, 3, 4, 3, 0, 3, 3, 4, 3, 4, 3, 0, 1, 4, 2, 1, 1, 2, 0, 4, 0, 4, 0, 1, 1, 3, 1, 0, 1, 2, 2, 2, 1, 1, 3, 4, 1, 1, 4, 3, 1, 1, 3, 0, 1, 2, 0, 2, 2, 1, 1, 4, 4, 4, 4, 2, 3, 4, 1, 1, 0, 0, 4, 3, 2, 4, 0, 3, 1, 4, 4, 0, 1, 1, 0, 3, 3, 2, 1, 1, 2, 1, 4, 0, 0, 3, 1, 1, 1, 1, 4, 1, 2, 1, 3, 0, 4, 4, 4, 4, 0, 3, 1, 4, 0, 2, 4, 4, 2, 4, 1, 3, 1, 3, 0, 0, 1, 3, 2, 4, 4, 4, 3, 0, 3, 0, 1, 3, 2, 1, 2, 4, 4, 3, 4, 1, 1, 1, 2, 1, 3, 3, 2, 2, 4, 4, 0, 1, 4, 4, 3, 2, 4, 1, 4, 1, 1, 0, 4, 4, 2, 2, 3, 0, 0, 1, 3, 3, 1, 1, 3, 2, 1, 1, 1, 2, 0, 3, 1, 2, 3, 4, 0, 4, 1, 3, 4, 3, 0, 0, 3, 3, 2, 4, 1, 1, 4, 2, 0, 3, 0, 1, 3, 3, 4, 4, 1, 3, 3, 0, 4, 0, 1, 3, 2] pubkeycol1736 = [2, 3, 2, 3, 2, 0, 3, 0, 4, 1, 3, 1, 3, 4, 1, 3, 2, 3, 4, 1, 1, 3, 0, 4, 4, 2, 4, 0, 3, 4, 1, 1, 4, 2, 4, 0, 1, 2, 1, 2, 1, 0, 2, 3, 4, 1, 2, 3, 2, 3, 0, 0, 0, 3, 0, 2, 1, 1, 2, 4, 4, 2, 4, 4, 2, 4, 4, 4, 0, 0, 1, 2, 3, 3, 1, 3, 1, 1, 0, 2, 4, 4, 4, 3, 4, 0, 3, 1, 1, 3, 1, 3, 1, 4, 0, 4, 3, 4, 0, 2, 0, 1, 0, 3, 0, 0, 0, 4, 3, 2, 4, 3, 0, 4, 3, 0, 4, 4, 1, 1, 1, 2, 4, 4, 4, 3, 0, 2, 1, 4, 0, 2, 3, 3, 4, 0, 4, 3, 0, 1, 3, 4, 0, 2, 1, 2, 0, 4, 2, 4, 2, 0, 3, 2, 3, 0, 0, 3, 0, 3, 4, 3, 2, 4, 3, 1, 3, 3, 3, 4, 2, 3, 2, 1, 2, 4, 0, 1, 2, 4, 4, 2, 1, 4, 3, 1, 4, 1, 4, 1, 3, 4, 4, 2, 1, 2, 0, 3, 0, 2, 2, 0, 3, 4, 0, 1, 3, 2, 3, 4, 4, 3, 4, 4, 1, 0, 0, 4, 1, 4, 1, 0, 0, 3, 3, 3, 1, 3, 1, 2, 0, 0, 1, 1, 3, 3, 0, 4, 2, 3, 3, 4, 4, 2, 2, 0, 4, 0, 4, 1, 3, 0, 2, 2, 4, 2, 1, 0, 0, 0, 2, 4, 2, 3, 4, 1, 0, 4, 1, 1, 1, 4, 3, 2, 3, 1, 2, 3, 1, 1, 1, 0, 0, 4, 4, 0, 2, 0, 0, 3, 2, 2, 1, 4, 3, 3, 1, 2, 4, 4, 0, 3, 3, 1, 0, 2, 3, 2, 3, 3, 1, 0, 2, 1, 0, 1, 2, 0, 3, 0, 4, 4, 2, 4, 0, 2, 2, 4, 2, 4, 4, 1, 3, 2, 1, 3, 3, 2, 1, 3, 4, 2, 4, 4, 1, 1, 4, 3, 2, 0, 4, 0, 1, 0, 4, 1, 0, 3, 1, 0, 0, 3, 2, 2, 0, 0, 1, 0, 4, 3, 2, 3, 3, 4, 0, 3, 1, 0, 4, 0, 1, 2, 0, 2, 3, 1, 0, 0, 1, 2, 3, 1, 0, 2, 3, 3, 4, 1, 3, 2, 2, 2, 4, 4, 0, 2, 1, 4, 3, 2, 2, 2, 3, 1, 1, 3, 4, 1, 2, 1, 4, 4, 1, 4, 4, 3, 4, 2, 0, 3, 1, 1, 1, 3, 1, 0, 0, 4, 2, 3, 1, 2, 0, 1, 3, 2, 3, 1, 0, 4, 4, 2, 3, 3, 2, 0, 3, 1, 2, 1, 1, 1, 4, 2, 4, 1, 1, 3, 3, 1, 4, 2, 3, 2, 1, 4, 0, 3, 2, 3] pubkeycol1737 = [2, 4, 1, 4, 0, 4, 4, 0, 1, 2, 2, 4, 2, 0, 2, 4, 2, 2, 0, 1, 0, 3, 1, 2, 2, 4, 2, 1, 0, 1, 0, 2, 2, 4, 2, 1, 2, 0, 1, 2, 4, 2, 4, 0, 4, 0, 4, 1, 1, 4, 1, 2, 1, 4, 4, 3, 0, 3, 1, 0, 3, 2, 3, 4, 2, 1, 4, 2, 4, 4, 3, 0, 0, 1, 2, 2, 1, 4, 1, 4, 2, 3, 2, 3, 2, 0, 3, 2, 0, 0, 3, 0, 4, 2, 2, 1, 1, 2, 2, 3, 3, 0, 1, 4, 2, 3, 2, 2, 0, 2, 0, 1, 4, 2, 3, 1, 3, 1, 1, 1, 3, 1, 0, 2, 2, 0, 0, 1, 3, 0, 3, 3, 4, 0, 4, 4, 4, 2, 3, 1, 3, 1, 3, 4, 4, 1, 0, 2, 1, 4, 0, 1, 0, 0, 4, 1, 3, 0, 3, 1, 2, 4, 0, 2, 2, 3, 0, 3, 4, 0, 0, 2, 4, 2, 3, 3, 2, 3, 3, 1, 0, 1, 1, 1, 3, 4, 1, 3, 4, 4, 0, 0, 2, 4, 1, 4, 1, 3, 1, 3, 0, 3, 3, 1, 2, 1, 1, 2, 0, 0, 2, 4, 4, 4, 0, 4, 4, 2, 4, 0, 0, 0, 3, 3, 2, 1, 4, 1, 1, 1, 4, 1, 2, 2, 2, 0, 4, 2, 1, 0, 4, 4, 0, 2, 4, 0, 4, 1, 2, 1, 4, 4, 3, 0, 1, 4, 1, 1, 1, 0, 2, 2, 3, 2, 4, 4, 2, 1, 2, 3, 4, 3, 4, 0, 1, 3, 2, 4, 4, 4, 1, 2, 0, 4, 0, 0, 3, 2, 3, 3, 4, 3, 4, 2, 4, 4, 1, 0, 4, 2, 1, 4, 0, 4, 4, 0, 1, 4, 2, 4, 3, 3, 1, 1, 0, 2, 3, 0, 4, 0, 2, 0, 4, 4, 0, 1, 4, 0, 4, 2, 3, 2, 4, 1, 4, 1, 2, 4, 4, 4, 3, 0, 3, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 3, 2, 2, 4, 4, 1, 4, 0, 0, 3, 1, 2, 0, 3, 3, 4, 2, 0, 0, 2, 1, 2, 4, 0, 2, 3, 1, 3, 3, 2, 0, 2, 1, 2, 4, 0, 2, 1, 2, 3, 0, 0, 0, 1, 1, 4, 3, 0, 0, 2, 2, 1, 2, 3, 3, 1, 2, 2, 1, 1, 0, 4, 4, 1, 2, 0, 1, 1, 3, 4, 1, 4, 2, 3, 2, 3, 0, 2, 0, 3, 4, 3, 1, 0, 1, 2, 3, 3, 3, 4, 2, 4, 0, 2, 2, 4, 0, 4, 4, 1, 0, 4, 1, 3, 3, 1, 0, 0, 3, 1, 0, 0, 3, 1, 0, 0, 2, 1, 0, 3, 0, 0, 2, 3, 3, 1, 3] pubkeycol1738 = [2, 3, 2, 3, 4, 1, 1, 1, 4, 0, 0, 3, 4, 3, 0, 3, 0, 4, 4, 0, 0, 4, 2, 3, 4, 2, 2, 3, 0, 2, 0, 4, 4, 2, 2, 2, 0, 2, 0, 3, 0, 3, 1, 0, 0, 3, 2, 2, 1, 0, 2, 1, 1, 0, 4, 3, 1, 4, 3, 0, 4, 1, 4, 2, 2, 2, 3, 2, 3, 4, 2, 3, 3, 0, 3, 2, 2, 4, 4, 0, 3, 2, 3, 4, 0, 2, 1, 0, 1, 2, 1, 1, 4, 3, 2, 2, 1, 0, 3, 3, 1, 0, 3, 1, 4, 1, 1, 1, 2, 3, 2, 3, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 4, 1, 1, 3, 2, 4, 4, 1, 4, 2, 0, 0, 2, 0, 3, 4, 1, 0, 3, 3, 1, 1, 3, 0, 3, 4, 1, 2, 4, 1, 4, 1, 4, 2, 1, 3, 1, 1, 0, 4, 0, 3, 1, 3, 2, 0, 4, 3, 4, 3, 2, 4, 4, 3, 4, 1, 0, 4, 3, 3, 2, 2, 2, 0, 1, 4, 1, 3, 0, 4, 1, 3, 1, 0, 0, 2, 1, 1, 3, 3, 3, 2, 0, 3, 4, 4, 3, 3, 1, 3, 2, 3, 4, 3, 3, 3, 0, 4, 0, 3, 0, 0, 1, 2, 1, 3, 4, 1, 3, 0, 2, 2, 4, 0, 4, 3, 2, 0, 4, 4, 1, 0, 3, 1, 3, 4, 1, 2, 3, 2, 1, 0, 1, 3, 1, 0, 3, 4, 4, 0, 2, 3, 2, 1, 4, 2, 4, 1, 4, 0, 3, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 4, 0, 1, 1, 4, 1, 0, 4, 2, 1, 4, 0, 4, 4, 2, 2, 3, 1, 3, 4, 4, 2, 3, 2, 3, 1, 1, 3, 4, 1, 1, 1, 2, 4, 2, 3, 0, 0, 3, 0, 0, 2, 3, 3, 4, 1, 2, 2, 4, 3, 2, 1, 4, 4, 1, 4, 1, 2, 3, 0, 1, 0, 2, 0, 3, 2, 1, 1, 0, 2, 1, 2, 0, 3, 4, 4, 4, 2, 1, 4, 1, 1, 2, 4, 2, 1, 4, 2, 3, 3, 3, 3, 1, 3, 3, 1, 1, 3, 2, 1, 0, 2, 4, 4, 0, 3, 4, 0, 0, 0, 0, 1, 2, 1, 4, 1, 3, 2, 1, 0, 0, 4, 4, 3, 0, 2, 0, 0, 4, 0, 3, 1, 4, 0, 3, 4, 4, 1, 1, 2, 2, 0, 3, 0, 1, 3, 4, 4, 4, 3, 1, 2, 0, 1, 4, 1, 0, 3, 1, 3, 1, 1, 2, 2, 2, 4, 1, 4, 1, 1, 2, 3, 1, 3, 3, 0, 1, 0, 4, 1, 0, 2, 4, 0, 1, 3, 3, 0, 1] pubkeycol1739 = [0, 0, 0, 1, 2, 2, 2, 1, 3, 0, 1, 0, 2, 1, 1, 4, 4, 0, 0, 4, 4, 4, 1, 3, 1, 1, 2, 4, 2, 2, 1, 1, 2, 0, 0, 1, 4, 3, 4, 2, 4, 4, 0, 1, 0, 3, 2, 1, 4, 4, 1, 3, 1, 1, 2, 4, 2, 4, 1, 2, 0, 3, 0, 4, 1, 2, 1, 4, 4, 4, 3, 1, 2, 2, 3, 4, 0, 2, 2, 3, 2, 1, 3, 1, 1, 4, 0, 2, 0, 1, 0, 4, 0, 2, 0, 0, 4, 0, 3, 1, 1, 3, 3, 0, 3, 1, 4, 4, 3, 3, 0, 1, 2, 4, 0, 4, 1, 3, 2, 1, 2, 4, 2, 4, 2, 1, 1, 0, 3, 4, 1, 0, 0, 2, 1, 0, 0, 1, 4, 4, 1, 4, 2, 1, 3, 2, 1, 3, 0, 1, 3, 0, 0, 4, 2, 1, 2, 4, 4, 1, 3, 0, 4, 4, 4, 3, 4, 4, 4, 3, 1, 1, 1, 0, 2, 0, 2, 2, 0, 3, 3, 3, 3, 2, 0, 3, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 3, 4, 3, 3, 3, 4, 2, 3, 4, 4, 4, 2, 1, 4, 2, 0, 3, 1, 2, 0, 1, 3, 3, 0, 3, 4, 3, 0, 3, 3, 1, 4, 0, 3, 4, 0, 2, 1, 1, 4, 4, 4, 2, 4, 0, 0, 0, 1, 4, 2, 2, 1, 2, 0, 3, 4, 1, 3, 4, 1, 3, 0, 1, 0, 4, 1, 0, 2, 0, 4, 2, 1, 2, 2, 1, 4, 4, 0, 4, 2, 2, 3, 0, 4, 4, 1, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 4, 2, 0, 2, 4, 2, 3, 0, 0, 3, 3, 0, 1, 4, 4, 0, 0, 4, 4, 4, 1, 3, 2, 1, 3, 4, 4, 2, 3, 3, 2, 3, 2, 3, 3, 2, 4, 4, 4, 2, 4, 2, 2, 4, 2, 1, 0, 3, 1, 1, 3, 2, 3, 3, 4, 3, 2, 0, 4, 1, 0, 2, 0, 1, 4, 0, 1, 4, 1, 4, 4, 2, 2, 0, 3, 4, 0, 2, 3, 4, 4, 2, 0, 1, 4, 1, 0, 4, 4, 3, 0, 3, 1, 3, 1, 1, 4, 2, 0, 2, 2, 1, 2, 4, 1, 4, 2, 0, 1, 2, 1, 1, 2, 4, 3, 3, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 3, 0, 2, 1, 1, 4, 1, 0, 2, 4, 2, 2, 2, 1, 3, 1, 4, 2, 2, 1, 1, 4, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 4, 4, 2, 2, 4, 1, 3, 2, 3, 2, 0, 3, 4, 3, 2, 3, 4, 3, 0, 3, 0, 1] pubkeycol1740 = [0, 3, 3, 3, 1, 2, 1, 1, 0, 2, 3, 4, 3, 4, 1, 4, 4, 3, 1, 4, 3, 0, 0, 3, 4, 0, 1, 0, 0, 3, 0, 2, 1, 3, 3, 1, 0, 0, 4, 0, 0, 3, 2, 3, 1, 4, 3, 2, 4, 4, 4, 3, 4, 1, 2, 0, 0, 0, 2, 0, 2, 4, 3, 2, 0, 4, 4, 0, 2, 1, 2, 0, 4, 3, 1, 0, 2, 0, 4, 3, 1, 4, 3, 3, 4, 3, 2, 1, 3, 1, 1, 2, 0, 0, 3, 1, 3, 1, 1, 2, 2, 2, 2, 4, 4, 4, 0, 1, 2, 1, 2, 4, 2, 4, 2, 2, 0, 0, 1, 4, 1, 1, 4, 2, 1, 3, 0, 4, 3, 3, 1, 4, 0, 1, 1, 1, 4, 0, 4, 2, 0, 3, 3, 1, 3, 0, 4, 0, 1, 3, 0, 4, 0, 0, 3, 4, 3, 4, 1, 3, 2, 1, 2, 4, 2, 2, 4, 4, 4, 2, 3, 0, 2, 2, 0, 3, 2, 2, 1, 3, 2, 4, 4, 2, 2, 0, 2, 3, 3, 3, 3, 4, 2, 2, 2, 1, 2, 3, 1, 0, 2, 4, 1, 1, 1, 4, 4, 0, 1, 4, 2, 4, 4, 3, 3, 2, 3, 0, 2, 3, 1, 0, 3, 1, 2, 1, 1, 3, 2, 3, 4, 4, 0, 4, 0, 1, 0, 1, 4, 4, 3, 3, 2, 3, 4, 2, 1, 3, 1, 2, 2, 0, 0, 4, 0, 2, 0, 4, 1, 1, 4, 1, 3, 4, 2, 4, 2, 3, 2, 3, 2, 1, 2, 0, 3, 0, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 4, 4, 0, 0, 3, 2, 0, 0, 2, 2, 1, 1, 2, 4, 3, 2, 0, 0, 2, 3, 0, 2, 2, 0, 2, 1, 3, 3, 1, 2, 0, 3, 2, 2, 4, 3, 0, 2, 2, 3, 1, 1, 0, 0, 0, 3, 4, 0, 4, 4, 4, 1, 4, 0, 2, 0, 3, 2, 2, 0, 0, 3, 3, 2, 3, 4, 1, 2, 1, 4, 2, 3, 2, 0, 2, 4, 4, 4, 1, 0, 1, 1, 4, 0, 4, 2, 3, 4, 0, 2, 0, 3, 3, 0, 3, 2, 3, 4, 2, 4, 4, 4, 4, 1, 0, 2, 0, 1, 1, 4, 4, 1, 3, 0, 0, 0, 4, 4, 3, 2, 1, 0, 0, 4, 4, 4, 1, 3, 4, 2, 2, 4, 0, 0, 0, 1, 4, 1, 1, 0, 0, 4, 1, 4, 2, 3, 4, 1, 4, 4, 2, 1, 0, 1, 0, 3, 4, 3, 3, 2, 3, 4, 2, 3, 3, 1, 1, 1, 3, 4, 0, 4, 1, 2, 2, 0, 0, 0, 1, 0, 2, 4, 2, 0, 2, 1, 4, 3, 3, 3, 3, 1, 1, 1] pubkeycol1741 = [0, 4, 1, 1, 4, 2, 3, 2, 0, 3, 0, 2, 1, 3, 1, 0, 0, 0, 3, 4, 0, 3, 0, 4, 0, 1, 4, 0, 1, 2, 0, 1, 4, 2, 4, 2, 1, 3, 3, 3, 4, 1, 0, 0, 0, 0, 0, 4, 2, 4, 3, 4, 3, 0, 4, 4, 0, 2, 1, 2, 4, 0, 3, 2, 0, 1, 3, 3, 3, 1, 0, 1, 4, 4, 2, 1, 2, 4, 3, 0, 1, 4, 0, 2, 3, 2, 1, 2, 1, 4, 4, 3, 1, 2, 2, 2, 1, 1, 4, 0, 3, 2, 2, 3, 3, 3, 4, 0, 2, 1, 4, 3, 3, 0, 2, 3, 0, 1, 3, 4, 4, 2, 3, 0, 1, 1, 4, 4, 1, 1, 0, 0, 1, 4, 3, 2, 0, 2, 1, 2, 1, 2, 4, 2, 0, 0, 3, 0, 2, 2, 2, 3, 2, 0, 0, 0, 1, 1, 3, 0, 3, 2, 4, 4, 4, 4, 3, 0, 1, 1, 2, 3, 4, 0, 2, 2, 0, 1, 4, 4, 3, 0, 3, 1, 1, 2, 4, 1, 3, 3, 1, 1, 3, 2, 0, 3, 0, 2, 3, 1, 4, 0, 0, 2, 3, 3, 3, 4, 0, 3, 2, 4, 4, 2, 3, 0, 4, 0, 1, 1, 4, 3, 0, 2, 3, 4, 2, 3, 4, 0, 3, 4, 2, 3, 3, 1, 4, 3, 4, 3, 3, 4, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 4, 1, 2, 3, 3, 1, 2, 3, 1, 4, 4, 4, 4, 3, 4, 1, 2, 2, 3, 2, 0, 4, 0, 3, 3, 3, 0, 4, 0, 2, 3, 1, 0, 0, 0, 2, 1, 4, 0, 3, 2, 1, 0, 0, 3, 2, 1, 1, 4, 2, 0, 4, 0, 3, 4, 4, 1, 0, 1, 4, 3, 4, 1, 4, 2, 2, 0, 4, 1, 0, 2, 0, 0, 0, 3, 4, 0, 2, 3, 3, 4, 1, 2, 4, 0, 1, 4, 0, 4, 0, 1, 2, 4, 1, 0, 4, 2, 3, 2, 4, 2, 0, 3, 3, 2, 1, 1, 0, 1, 1, 3, 4, 0, 2, 2, 1, 2, 2, 3, 2, 1, 4, 1, 2, 0, 3, 2, 4, 2, 2, 4, 3, 1, 3, 4, 1, 1, 3, 2, 3, 3, 3, 1, 0, 2, 1, 3, 1, 1, 1, 1, 1, 0, 2, 1, 4, 0, 4, 3, 4, 1, 2, 4, 2, 2, 0, 4, 0, 2, 3, 2, 4, 0, 0, 2, 4, 3, 4, 2, 2, 2, 3, 2, 4, 3, 4, 4, 2, 4, 1, 1, 4, 3, 4, 4, 4, 0, 4, 3, 3, 0, 2, 0, 4, 3, 2, 3, 0, 0, 3, 0, 1, 1, 0, 2, 4, 0, 3, 3, 1, 0, 0, 0, 2, 1, 0, 3, 1] pubkeycol1742 = [2, 3, 4, 2, 3, 1, 4, 2, 4, 4, 2, 0, 2, 4, 3, 4, 1, 1, 4, 1, 2, 2, 1, 3, 3, 0, 1, 4, 2, 0, 4, 0, 0, 0, 0, 0, 0, 1, 3, 0, 2, 3, 4, 3, 4, 3, 2, 0, 2, 1, 3, 4, 3, 2, 3, 2, 0, 4, 2, 0, 3, 1, 4, 1, 0, 0, 1, 0, 3, 0, 1, 2, 3, 1, 0, 3, 1, 2, 4, 2, 1, 2, 2, 3, 4, 1, 2, 1, 0, 1, 2, 4, 2, 0, 0, 4, 1, 4, 4, 2, 1, 0, 0, 0, 2, 3, 0, 3, 2, 2, 1, 1, 3, 0, 0, 3, 0, 1, 4, 1, 1, 0, 2, 2, 3, 4, 4, 3, 0, 4, 2, 4, 1, 0, 3, 2, 3, 0, 0, 0, 2, 4, 1, 3, 4, 3, 4, 3, 2, 2, 2, 0, 0, 2, 4, 1, 4, 2, 4, 4, 4, 2, 4, 1, 4, 3, 0, 3, 0, 4, 1, 2, 2, 3, 4, 3, 0, 3, 0, 4, 3, 3, 3, 0, 3, 4, 3, 4, 1, 4, 0, 2, 0, 2, 4, 4, 3, 0, 3, 2, 3, 1, 1, 3, 2, 1, 1, 2, 3, 4, 4, 2, 2, 3, 2, 0, 4, 2, 2, 0, 1, 1, 1, 2, 4, 1, 0, 4, 1, 2, 1, 1, 0, 0, 1, 2, 4, 1, 2, 4, 0, 3, 3, 3, 4, 1, 0, 0, 1, 2, 4, 4, 4, 0, 4, 1, 1, 0, 3, 0, 3, 3, 4, 0, 2, 4, 3, 4, 4, 1, 4, 0, 2, 0, 1, 3, 2, 2, 3, 3, 1, 2, 3, 0, 3, 2, 1, 3, 3, 3, 2, 1, 3, 4, 0, 1, 1, 1, 3, 4, 2, 4, 3, 1, 4, 4, 2, 1, 3, 3, 2, 0, 2, 2, 0, 2, 2, 3, 4, 4, 3, 1, 4, 4, 4, 3, 0, 4, 0, 0, 2, 0, 0, 1, 3, 0, 4, 4, 0, 3, 4, 2, 4, 3, 2, 2, 0, 0, 0, 2, 3, 3, 4, 4, 0, 4, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 3, 1, 3, 0, 3, 3, 3, 2, 1, 2, 0, 4, 3, 1, 3, 2, 2, 1, 2, 0, 1, 2, 3, 2, 1, 3, 2, 3, 3, 0, 3, 3, 4, 0, 4, 3, 3, 4, 3, 4, 3, 1, 4, 0, 1, 3, 4, 1, 1, 4, 4, 3, 3, 2, 4, 3, 0, 2, 1, 0, 0, 4, 2, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 4, 0, 2, 2, 0, 3, 0, 2, 0, 4, 0, 0, 0, 3, 2, 0, 3, 2, 1, 0, 4, 2, 4, 1, 0, 2, 1, 3, 0, 3, 4, 0, 4, 2, 1, 3, 4, 0, 4] pubkeycol1743 = [2, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 4, 1, 0, 4, 3, 1, 3, 0, 2, 4, 1, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 3, 2, 1, 3, 1, 4, 3, 3, 4, 0, 4, 0, 3, 1, 2, 3, 4, 3, 2, 0, 3, 1, 0, 4, 1, 0, 1, 3, 2, 1, 1, 2, 4, 1, 0, 2, 1, 1, 2, 1, 1, 4, 3, 3, 1, 3, 0, 3, 0, 1, 3, 1, 0, 0, 4, 0, 1, 3, 1, 1, 3, 1, 1, 4, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 1, 2, 1, 3, 4, 2, 4, 2, 0, 2, 2, 3, 2, 3, 0, 3, 4, 1, 3, 4, 1, 2, 0, 1, 2, 0, 0, 4, 1, 2, 3, 1, 0, 2, 3, 3, 2, 2, 2, 3, 0, 1, 4, 1, 1, 1, 3, 2, 1, 4, 2, 0, 4, 3, 1, 0, 1, 4, 3, 1, 1, 2, 0, 2, 0, 4, 2, 2, 4, 0, 1, 2, 2, 2, 0, 4, 4, 4, 2, 1, 1, 2, 4, 1, 1, 4, 3, 2, 0, 2, 0, 4, 1, 0, 0, 3, 1, 4, 1, 3, 1, 0, 1, 1, 3, 1, 2, 2, 3, 2, 1, 2, 1, 3, 0, 3, 4, 2, 1, 2, 1, 3, 2, 4, 0, 1, 0, 2, 1, 4, 1, 3, 0, 2, 2, 0, 3, 3, 1, 4, 3, 2, 1, 4, 4, 0, 3, 2, 1, 0, 4, 0, 4, 3, 2, 2, 0, 1, 1, 1, 4, 0, 3, 0, 1, 1, 1, 3, 2, 1, 1, 4, 3, 4, 1, 2, 2, 4, 4, 1, 4, 0, 3, 2, 1, 3, 4, 2, 4, 1, 4, 1, 4, 1, 4, 4, 4, 2, 2, 1, 1, 3, 3, 2, 2, 0, 1, 2, 1, 3, 2, 3, 0, 0, 1, 3, 0, 4, 2, 3, 4, 0, 0, 1, 1, 3, 3, 4, 4, 3, 4, 2, 2, 3, 2, 4, 4, 2, 0, 0, 2, 3, 4, 3, 4, 1, 4, 1, 1, 2, 2, 2, 1, 4, 4, 1, 4, 1, 0, 2, 4, 2, 3, 1, 0, 1, 4, 4, 2, 0, 4, 1, 1, 4, 0, 3, 0, 0, 1, 3, 3, 4, 1, 0, 0, 4, 0, 2, 3, 4, 2, 2, 0, 1, 1, 4, 4, 4, 3, 2, 1, 0, 4, 3, 4, 3, 2, 1, 4, 1, 0, 3, 4, 3, 4, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 1, 3, 2, 3, 4, 3, 1, 1, 4, 0, 4, 2, 3, 1, 0, 2, 0, 1, 2, 2, 3, 2, 0, 2, 2, 0, 4, 3, 3, 2, 2, 2, 4, 0, 3, 2, 3, 4, 0, 2, 2, 4, 1, 1, 1, 4, 1] pubkeycol1744 = [0, 0, 0, 0, 0, 3, 4, 3, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 3, 2, 0, 4, 2, 2, 0, 3, 1, 0, 4, 0, 4, 1, 2, 1, 2, 0, 2, 4, 2, 2, 0, 1, 3, 1, 0, 0, 0, 4, 3, 0, 3, 3, 4, 4, 3, 1, 4, 3, 2, 2, 4, 0, 1, 2, 0, 2, 3, 2, 3, 0, 0, 0, 1, 0, 3, 4, 3, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 4, 3, 1, 2, 0, 1, 0, 1, 2, 3, 3, 0, 1, 3, 3, 2, 2, 4, 2, 0, 2, 4, 3, 1, 1, 2, 0, 4, 0, 3, 3, 2, 3, 0, 3, 0, 2, 3, 4, 1, 3, 4, 4, 2, 4, 0, 1, 3, 4, 0, 0, 3, 4, 2, 2, 4, 3, 2, 3, 1, 1, 2, 3, 0, 1, 0, 3, 2, 3, 1, 1, 0, 4, 1, 1, 4, 2, 3, 4, 3, 2, 2, 2, 3, 1, 2, 1, 2, 1, 4, 3, 4, 2, 0, 0, 3, 0, 2, 2, 4, 3, 3, 3, 3, 0, 1, 4, 2, 2, 2, 4, 0, 1, 4, 3, 4, 1, 3, 2, 0, 0, 0, 1, 3, 4, 2, 1, 0, 1, 0, 4, 4, 4, 0, 0, 4, 2, 1, 0, 2, 2, 3, 4, 2, 4, 1, 3, 3, 1, 3, 4, 4, 3, 0, 4, 4, 0, 1, 0, 2, 3, 3, 2, 3, 4, 3, 3, 2, 0, 1, 0, 3, 0, 4, 0, 3, 2, 4, 1, 3, 4, 4, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 3, 3, 4, 1, 0, 1, 1, 0, 2, 2, 4, 0, 2, 2, 0, 3, 2, 2, 0, 0, 0, 4, 1, 2, 1, 3, 1, 2, 4, 4, 4, 3, 0, 3, 0, 4, 1, 0, 2, 0, 3, 1, 2, 0, 1, 2, 4, 2, 4, 0, 2, 4, 4, 2, 2, 1, 3, 1, 0, 3, 2, 3, 4, 3, 4, 4, 3, 2, 0, 0, 4, 3, 4, 0, 3, 2, 1, 1, 3, 0, 2, 3, 1, 3, 3, 4, 2, 4, 1, 2, 0, 3, 2, 3, 3, 4, 2, 1, 2, 1, 1, 2, 4, 3, 4, 2, 0, 0, 2, 0, 3, 2, 2, 3, 1, 1, 1, 1, 3, 1, 3, 0, 4, 4, 0, 1, 2, 4, 1, 2, 3, 1, 1, 1, 0, 4, 2, 1, 4, 3, 4, 2, 0, 1, 4, 4, 2, 2, 0, 4, 0, 3, 3, 1, 0, 2, 3, 1, 0, 0, 0, 3, 0, 1, 3, 1, 4, 3, 1, 4, 2, 4, 0, 4, 0, 4, 0, 3, 4, 3, 4, 3, 0, 2, 4, 4, 0, 0, 0, 2, 1, 1, 3, 4, 4, 0, 1, 2] pubkeycol1745 = [2, 2, 1, 1, 1, 1, 4, 0, 4, 3, 0, 4, 1, 1, 1, 2, 0, 2, 4, 1, 2, 2, 2, 3, 1, 2, 3, 2, 4, 3, 1, 3, 4, 4, 0, 4, 2, 3, 2, 4, 0, 1, 4, 2, 1, 0, 4, 1, 2, 1, 0, 2, 2, 3, 2, 0, 4, 3, 0, 1, 4, 1, 3, 2, 3, 0, 4, 0, 1, 4, 1, 2, 2, 1, 4, 0, 1, 4, 1, 1, 0, 4, 1, 2, 0, 3, 0, 1, 3, 3, 3, 0, 2, 2, 4, 1, 0, 3, 4, 3, 0, 1, 3, 0, 3, 0, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 0, 2, 1, 4, 4, 2, 3, 1, 3, 4, 2, 0, 3, 1, 1, 1, 1, 1, 0, 4, 3, 4, 1, 1, 0, 1, 3, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 2, 1, 0, 0, 4, 2, 3, 2, 1, 1, 0, 4, 4, 3, 3, 0, 2, 0, 1, 3, 1, 2, 4, 2, 3, 3, 0, 0, 3, 1, 0, 4, 3, 0, 2, 4, 2, 3, 1, 1, 0, 1, 4, 0, 3, 2, 3, 4, 1, 0, 1, 4, 4, 4, 3, 1, 3, 0, 2, 4, 3, 3, 2, 1, 0, 1, 0, 4, 3, 2, 2, 1, 3, 3, 0, 4, 0, 4, 2, 3, 1, 1, 0, 4, 4, 1, 2, 0, 1, 2, 0, 0, 4, 1, 2, 1, 0, 2, 2, 4, 2, 4, 4, 2, 1, 4, 2, 4, 2, 4, 2, 3, 3, 1, 4, 1, 3, 1, 2, 1, 2, 0, 1, 0, 2, 4, 1, 0, 4, 2, 1, 4, 2, 4, 1, 0, 3, 3, 4, 0, 1, 1, 4, 0, 3, 4, 4, 2, 3, 0, 4, 0, 3, 4, 0, 1, 4, 1, 3, 0, 3, 4, 3, 3, 1, 0, 0, 4, 0, 0, 0, 2, 1, 1, 2, 4, 0, 4, 4, 1, 3, 1, 3, 0, 0, 0, 2, 0, 4, 4, 0, 2, 3, 4, 1, 2, 3, 4, 3, 3, 1, 3, 4, 2, 3, 0, 4, 0, 1, 1, 4, 3, 3, 4, 2, 2, 0, 0, 3, 3, 0, 4, 0, 1, 0, 4, 1, 2, 0, 2, 3, 1, 1, 3, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 3, 3, 3, 2, 3, 0, 2, 4, 0, 4, 1, 1, 4, 3, 0, 3, 2, 1, 3, 2, 0, 1, 1, 3, 2, 4, 2, 0, 1, 2, 3, 1, 2, 2, 3, 3, 4, 4, 1, 2, 4, 4, 1, 1, 3, 1, 1, 2, 0, 1, 3, 4, 3, 1, 0, 1, 1, 2, 0, 3, 3, 4, 4, 1, 3, 2, 2, 4, 2, 4, 2, 2, 2, 3, 2, 0, 2, 2, 1, 2, 2, 0] pubkeycol1746 = [2, 4, 4, 2, 4, 1, 1, 2, 3, 0, 1, 4, 1, 4, 4, 2, 1, 4, 1, 2, 2, 0, 3, 1, 0, 3, 2, 0, 4, 2, 3, 3, 3, 4, 0, 3, 1, 0, 4, 1, 3, 2, 2, 4, 2, 0, 4, 2, 4, 3, 0, 1, 1, 3, 0, 0, 2, 2, 4, 3, 4, 1, 1, 0, 3, 2, 2, 0, 2, 1, 4, 0, 4, 1, 4, 2, 3, 3, 4, 1, 2, 3, 3, 4, 2, 3, 0, 1, 2, 3, 0, 3, 1, 1, 1, 4, 2, 0, 1, 3, 4, 3, 1, 0, 0, 0, 4, 0, 2, 0, 4, 2, 3, 3, 4, 2, 4, 0, 2, 1, 4, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 3, 1, 2, 4, 2, 3, 4, 3, 0, 3, 3, 1, 4, 1, 4, 0, 1, 4, 3, 3, 4, 2, 4, 3, 2, 1, 4, 4, 2, 4, 4, 0, 0, 4, 3, 0, 2, 0, 0, 2, 0, 4, 4, 0, 2, 4, 1, 1, 2, 3, 4, 3, 0, 2, 3, 1, 3, 4, 0, 1, 4, 1, 3, 4, 0, 3, 1, 2, 4, 4, 1, 4, 3, 3, 2, 2, 1, 4, 4, 1, 2, 0, 3, 3, 4, 2, 0, 0, 2, 4, 1, 2, 4, 4, 2, 2, 3, 1, 1, 0, 3, 2, 0, 4, 3, 0, 1, 3, 0, 4, 3, 0, 0, 2, 0, 2, 2, 3, 4, 2, 3, 1, 1, 4, 4, 4, 1, 1, 4, 1, 4, 3, 0, 4, 1, 3, 1, 4, 1, 1, 2, 2, 3, 1, 2, 1, 4, 1, 2, 2, 0, 0, 1, 1, 3, 4, 0, 3, 2, 4, 3, 0, 0, 0, 2, 3, 1, 1, 3, 3, 1, 1, 4, 4, 4, 3, 4, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 0, 0, 3, 3, 4, 1, 0, 4, 3, 1, 4, 2, 2, 2, 1, 0, 3, 4, 3, 3, 3, 2, 3, 3, 1, 2, 2, 0, 2, 2, 3, 4, 3, 2, 2, 1, 1, 2, 4, 0, 4, 2, 4, 3, 4, 0, 1, 4, 3, 4, 1, 3, 0, 2, 3, 1, 0, 0, 0, 2, 0, 2, 0, 2, 4, 2, 1, 4, 3, 3, 2, 1, 0, 4, 3, 3, 3, 0, 0, 1, 3, 1, 0, 3, 0, 4, 3, 4, 4, 0, 4, 1, 1, 0, 0, 1, 2, 4, 2, 1, 2, 4, 4, 0, 3, 0, 2, 4, 3, 4, 4, 1, 1, 0, 0, 4, 4, 1, 3, 2, 2, 1, 4, 0, 0, 1, 3, 2, 0, 2, 4, 0, 4, 0, 1, 3, 0, 1, 0, 2, 4, 1, 2, 4, 1, 0, 2, 4, 3, 4, 0, 0, 2, 4, 4, 1, 0, 3, 2, 4, 0, 4] pubkeycol1747 = [4, 1, 3, 4, 0, 4, 4, 0, 0, 1, 3, 2, 3, 3, 3, 1, 4, 1, 2, 3, 2, 0, 0, 3, 2, 3, 2, 0, 4, 2, 1, 3, 1, 4, 1, 4, 3, 4, 0, 3, 0, 0, 4, 3, 3, 3, 4, 1, 3, 3, 1, 2, 0, 4, 4, 4, 3, 3, 4, 2, 4, 3, 0, 3, 1, 4, 3, 1, 2, 1, 2, 1, 4, 3, 0, 2, 1, 0, 0, 3, 4, 4, 1, 0, 2, 3, 4, 3, 4, 4, 1, 0, 0, 4, 0, 3, 2, 1, 4, 2, 4, 1, 3, 2, 3, 2, 2, 0, 0, 4, 0, 0, 3, 2, 3, 4, 1, 3, 3, 0, 3, 3, 3, 0, 2, 0, 1, 3, 0, 0, 0, 0, 1, 3, 3, 4, 3, 2, 3, 4, 3, 3, 2, 4, 3, 2, 1, 3, 4, 0, 2, 4, 2, 3, 0, 3, 3, 4, 4, 3, 1, 2, 2, 2, 3, 4, 0, 3, 3, 4, 2, 0, 2, 1, 0, 4, 3, 0, 4, 0, 4, 3, 4, 4, 3, 3, 2, 1, 4, 0, 1, 2, 1, 0, 4, 0, 4, 4, 0, 3, 0, 4, 3, 0, 4, 1, 1, 3, 2, 3, 2, 4, 4, 0, 1, 2, 1, 2, 1, 1, 2, 4, 0, 4, 4, 0, 3, 0, 4, 0, 2, 3, 0, 2, 1, 3, 3, 1, 4, 1, 1, 1, 1, 0, 3, 0, 0, 1, 4, 2, 3, 3, 1, 4, 0, 4, 2, 4, 3, 4, 2, 4, 0, 1, 3, 3, 0, 3, 4, 2, 4, 2, 1, 0, 0, 4, 1, 4, 0, 3, 1, 0, 2, 3, 3, 3, 2, 4, 0, 1, 0, 0, 4, 0, 2, 4, 4, 1, 2, 2, 0, 3, 3, 0, 3, 2, 3, 0, 4, 4, 2, 4, 4, 4, 2, 3, 2, 2, 1, 3, 2, 2, 4, 1, 3, 3, 2, 0, 2, 4, 4, 1, 1, 3, 0, 2, 2, 2, 3, 0, 0, 0, 4, 4, 2, 2, 2, 2, 3, 3, 4, 1, 4, 2, 4, 2, 1, 1, 3, 2, 3, 3, 0, 0, 3, 3, 4, 1, 3, 3, 4, 3, 4, 4, 3, 3, 4, 2, 1, 3, 4, 4, 0, 3, 2, 3, 2, 1, 3, 0, 4, 0, 1, 3, 1, 4, 2, 3, 2, 0, 4, 2, 0, 1, 4, 2, 4, 1, 3, 2, 1, 0, 0, 0, 1, 0, 2, 3, 2, 0, 3, 2, 1, 3, 1, 1, 4, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 3, 1, 2, 1, 2, 2, 1, 4, 4, 1, 2, 2, 2, 0, 0, 1, 3, 2, 2, 1, 1, 3, 2, 3, 1, 3, 4, 1, 2, 2, 2, 1, 4, 2, 1, 4, 0, 2, 3, 1, 2, 1, 1] pubkeycol1748 = [2, 2, 3, 0, 1, 0, 2, 4, 4, 4, 1, 0, 2, 3, 4, 1, 2, 2, 4, 0, 1, 1, 1, 1, 4, 1, 4, 2, 1, 2, 0, 2, 4, 1, 4, 4, 4, 4, 0, 2, 2, 3, 4, 4, 1, 2, 4, 2, 0, 0, 4, 2, 3, 0, 2, 4, 2, 1, 3, 4, 1, 0, 4, 1, 2, 2, 3, 2, 0, 4, 4, 3, 0, 1, 4, 3, 3, 2, 1, 4, 1, 1, 3, 0, 3, 2, 1, 3, 1, 3, 4, 4, 3, 0, 4, 1, 3, 3, 3, 2, 1, 2, 2, 0, 2, 3, 2, 1, 0, 2, 2, 3, 0, 2, 0, 1, 4, 0, 2, 0, 1, 1, 4, 1, 2, 4, 1, 2, 4, 4, 0, 2, 3, 3, 0, 2, 1, 4, 3, 2, 4, 3, 2, 3, 0, 0, 4, 2, 0, 1, 4, 3, 2, 3, 1, 1, 4, 2, 2, 2, 3, 2, 4, 1, 0, 2, 0, 1, 3, 3, 2, 3, 1, 1, 4, 0, 4, 1, 3, 0, 1, 1, 0, 0, 4, 1, 2, 2, 0, 4, 0, 0, 1, 4, 1, 1, 3, 2, 1, 0, 2, 0, 4, 0, 3, 2, 1, 0, 2, 3, 0, 2, 0, 0, 1, 2, 3, 0, 3, 3, 0, 3, 1, 4, 0, 3, 2, 2, 1, 2, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 2, 2, 2, 4, 2, 0, 0, 3, 3, 4, 0, 1, 0, 3, 0, 1, 4, 3, 3, 0, 0, 4, 3, 4, 2, 3, 4, 3, 0, 3, 0, 0, 4, 2, 0, 0, 3, 4, 3, 3, 1, 1, 4, 0, 2, 0, 4, 0, 3, 2, 1, 2, 3, 3, 3, 2, 3, 4, 4, 4, 0, 4, 1, 1, 4, 4, 4, 4, 1, 1, 4, 2, 1, 4, 0, 3, 1, 3, 4, 0, 4, 3, 1, 4, 3, 4, 0, 0, 0, 1, 4, 0, 4, 1, 1, 1, 0, 3, 1, 3, 1, 0, 3, 2, 2, 2, 4, 1, 1, 0, 4, 0, 0, 2, 3, 2, 1, 4, 0, 1, 4, 3, 1, 1, 4, 2, 0, 4, 4, 3, 4, 4, 2, 3, 3, 2, 1, 3, 0, 0, 2, 1, 2, 1, 2, 4, 0, 4, 1, 4, 1, 0, 3, 0, 4, 0, 1, 4, 0, 0, 3, 1, 0, 2, 3, 3, 1, 4, 4, 0, 3, 2, 0, 0, 1, 2, 4, 1, 4, 2, 4, 3, 1, 1, 2, 1, 2, 3, 1, 0, 4, 2, 4, 0, 1, 4, 3, 4, 4, 1, 3, 0, 3, 3, 2, 1, 4, 2, 1, 4, 4, 2, 1, 2, 3, 0, 3, 2, 4, 3, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 4, 0, 3, 3, 0, 1, 4] pubkeycol1749 = [1, 2, 3, 2, 1, 0, 0, 1, 3, 3, 4, 3, 3, 0, 3, 3, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 3, 3, 4, 1, 4, 1, 1, 1, 4, 2, 1, 2, 2, 2, 3, 4, 2, 4, 2, 2, 4, 3, 1, 1, 4, 1, 0, 2, 0, 1, 2, 0, 2, 3, 2, 2, 3, 4, 3, 2, 0, 0, 4, 2, 2, 0, 0, 4, 3, 4, 1, 3, 4, 2, 2, 0, 0, 0, 2, 1, 2, 0, 4, 2, 3, 3, 0, 4, 4, 0, 1, 3, 0, 4, 2, 3, 2, 2, 2, 2, 3, 2, 2, 0, 4, 4, 3, 1, 4, 2, 0, 0, 2, 0, 1, 4, 0, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 2, 4, 4, 0, 4, 1, 0, 0, 2, 1, 2, 3, 4, 4, 0, 4, 3, 3, 1, 1, 3, 2, 2, 1, 0, 0, 3, 2, 2, 2, 1, 3, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 1, 0, 1, 3, 3, 0, 1, 4, 4, 2, 4, 2, 2, 2, 2, 2, 4, 4, 4, 1, 4, 0, 1, 3, 4, 1, 0, 2, 0, 1, 2, 2, 2, 0, 4, 4, 0, 2, 0, 1, 3, 4, 4, 2, 4, 1, 0, 1, 0, 4, 4, 1, 4, 4, 0, 2, 4, 1, 2, 3, 3, 4, 1, 2, 0, 4, 2, 2, 3, 1, 1, 2, 1, 2, 4, 4, 3, 4, 2, 2, 1, 3, 4, 0, 2, 1, 0, 3, 3, 2, 2, 1, 0, 4, 4, 2, 0, 1, 1, 4, 1, 3, 1, 0, 2, 2, 4, 2, 0, 4, 4, 4, 2, 0, 2, 0, 2, 0, 1, 2, 2, 4, 3, 1, 2, 0, 3, 4, 4, 1, 2, 1, 1, 2, 2, 4, 0, 0, 3, 2, 0, 2, 0, 2, 1, 4, 3, 4, 3, 4, 2, 4, 1, 3, 3, 1, 0, 1, 1, 2, 2, 4, 4, 3, 4, 3, 0, 4, 3, 2, 3, 0, 2, 0, 3, 2, 2, 4, 1, 3, 4, 0, 2, 3, 4, 4, 2, 2, 4, 2, 2, 0, 3, 3, 1, 3, 1, 4, 0, 0, 1, 1, 3, 0, 0, 0, 0, 2, 3, 1, 2, 0, 2, 3, 3, 0, 3, 1, 0, 4, 4, 1, 2, 4, 1, 1, 4, 4, 4, 3, 3, 1, 4, 3, 1, 4, 0, 0, 2, 4, 3, 2, 1, 2, 0, 3, 0, 2, 3, 2, 3, 4, 1, 1, 1, 0, 2, 4, 0, 1, 4, 4, 3, 2, 1, 4, 3, 2, 1, 2, 0, 4, 3, 4, 3, 1, 0, 1, 3, 4, 3, 2, 2, 0, 4, 2, 2, 2, 1, 0, 0, 2, 2, 4, 3, 1, 2] pubkeycol1750 = [0, 4, 0, 3, 4, 2, 2, 1, 4, 3, 1, 0, 0, 2, 4, 4, 3, 0, 2, 3, 2, 4, 2, 2, 2, 0, 2, 3, 3, 4, 3, 0, 3, 1, 4, 4, 0, 4, 2, 4, 3, 0, 3, 0, 2, 1, 4, 4, 4, 2, 0, 2, 3, 4, 0, 0, 0, 4, 2, 4, 0, 4, 4, 4, 2, 4, 0, 0, 3, 4, 2, 4, 2, 0, 1, 0, 2, 0, 4, 1, 4, 4, 3, 4, 0, 4, 2, 2, 0, 1, 4, 0, 3, 0, 4, 1, 0, 3, 4, 3, 0, 2, 4, 4, 1, 0, 4, 1, 1, 0, 0, 1, 4, 4, 2, 2, 3, 0, 0, 0, 4, 1, 1, 3, 4, 3, 1, 0, 1, 4, 3, 0, 3, 1, 0, 0, 4, 2, 2, 1, 2, 2, 4, 4, 4, 1, 2, 3, 2, 0, 4, 4, 2, 0, 0, 2, 0, 1, 1, 4, 3, 0, 2, 1, 2, 4, 1, 3, 4, 2, 0, 4, 0, 1, 0, 4, 0, 1, 2, 1, 0, 2, 0, 2, 4, 1, 0, 0, 4, 3, 1, 1, 1, 4, 0, 4, 3, 0, 0, 2, 2, 4, 0, 3, 3, 0, 0, 4, 4, 0, 2, 0, 0, 2, 3, 4, 1, 3, 0, 2, 1, 2, 3, 4, 4, 3, 4, 3, 4, 1, 4, 0, 2, 4, 1, 2, 0, 4, 0, 0, 4, 1, 1, 1, 3, 2, 2, 3, 2, 3, 3, 2, 0, 3, 0, 0, 3, 1, 1, 1, 1, 1, 1, 2, 3, 4, 1, 1, 0, 4, 4, 2, 0, 0, 0, 1, 3, 4, 3, 2, 3, 0, 3, 4, 2, 4, 1, 0, 0, 1, 0, 2, 0, 4, 4, 1, 2, 4, 4, 1, 4, 0, 4, 3, 2, 4, 2, 4, 4, 0, 0, 4, 1, 2, 4, 4, 3, 3, 2, 1, 4, 4, 1, 1, 0, 1, 3, 1, 4, 1, 0, 1, 2, 1, 0, 2, 1, 0, 3, 1, 4, 4, 3, 1, 4, 1, 0, 3, 4, 0, 0, 4, 3, 1, 2, 1, 2, 4, 1, 2, 0, 1, 2, 3, 3, 2, 2, 3, 1, 2, 3, 3, 4, 1, 2, 0, 0, 2, 0, 0, 0, 1, 3, 2, 3, 1, 0, 2, 3, 2, 0, 0, 1, 2, 3, 3, 0, 4, 0, 3, 3, 1, 3, 0, 2, 0, 3, 4, 1, 1, 2, 4, 4, 2, 2, 0, 2, 0, 4, 3, 3, 1, 4, 2, 4, 4, 0, 0, 0, 3, 4, 1, 4, 0, 3, 3, 0, 3, 4, 1, 4, 2, 0, 1, 0, 3, 2, 4, 0, 2, 4, 4, 3, 3, 4, 1, 1, 0, 3, 2, 3, 1, 0, 2, 0, 3, 3, 3, 4, 0, 1, 0, 3, 3, 2, 0, 4, 1, 2, 3] pubkeycol1751 = [4, 1, 0, 1, 3, 2, 3, 0, 2, 0, 0, 4, 4, 0, 1, 0, 3, 0, 4, 2, 0, 3, 1, 1, 1, 4, 3, 2, 0, 3, 2, 0, 2, 3, 2, 3, 4, 1, 4, 0, 2, 0, 4, 2, 0, 0, 1, 0, 0, 2, 0, 4, 1, 0, 1, 0, 0, 4, 4, 4, 3, 4, 0, 0, 4, 1, 1, 4, 0, 1, 1, 4, 2, 2, 0, 1, 1, 2, 0, 2, 4, 0, 3, 0, 1, 4, 4, 4, 4, 4, 4, 3, 4, 3, 1, 0, 1, 2, 2, 3, 2, 3, 0, 1, 3, 3, 1, 0, 0, 3, 4, 2, 2, 0, 0, 2, 4, 2, 0, 4, 0, 0, 2, 4, 1, 4, 3, 3, 3, 1, 2, 1, 0, 0, 0, 3, 3, 0, 4, 3, 2, 1, 4, 0, 3, 0, 2, 4, 4, 3, 1, 3, 3, 0, 2, 3, 3, 1, 4, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 2, 0, 4, 2, 0, 2, 3, 0, 0, 0, 4, 2, 2, 0, 0, 0, 3, 2, 1, 4, 1, 0, 0, 4, 2, 2, 3, 4, 3, 3, 2, 0, 0, 1, 3, 4, 1, 3, 0, 1, 2, 4, 1, 3, 4, 4, 4, 4, 0, 3, 0, 4, 1, 1, 3, 1, 2, 2, 2, 3, 1, 1, 0, 1, 0, 1, 3, 2, 0, 3, 3, 2, 4, 0, 3, 1, 0, 0, 1, 4, 2, 3, 2, 4, 1, 2, 2, 3, 2, 2, 0, 2, 3, 1, 3, 0, 4, 2, 1, 3, 0, 0, 3, 3, 4, 3, 0, 2, 1, 4, 4, 2, 1, 4, 2, 2, 1, 4, 1, 0, 3, 4, 2, 2, 1, 1, 1, 4, 0, 2, 2, 4, 1, 3, 1, 0, 4, 1, 4, 2, 0, 1, 3, 2, 0, 1, 1, 2, 3, 3, 0, 1, 3, 1, 2, 4, 3, 0, 4, 0, 3, 2, 0, 1, 3, 2, 3, 3, 4, 2, 1, 4, 1, 3, 2, 1, 4, 0, 0, 4, 4, 4, 4, 1, 3, 4, 0, 4, 1, 0, 0, 2, 3, 3, 4, 1, 2, 0, 3, 2, 0, 1, 0, 2, 0, 0, 1, 4, 0, 3, 2, 1, 0, 4, 1, 3, 1, 1, 1, 2, 0, 3, 0, 4, 3, 0, 3, 3, 4, 0, 2, 4, 4, 4, 4, 4, 2, 1, 0, 3, 1, 3, 3, 2, 2, 4, 2, 0, 4, 0, 0, 2, 0, 3, 2, 2, 3, 1, 4, 1, 0, 1, 1, 2, 3, 3, 3, 2, 1, 3, 3, 2, 1, 0, 4, 4, 1, 1, 4, 1, 0, 4, 3, 3, 2, 0, 4, 3, 0, 1, 4, 1, 2, 0, 0, 1, 1, 2, 4, 3, 0, 3, 3, 4, 2, 0, 0, 2, 2, 0, 0] pubkeycol1752 = [0, 2, 3, 3, 1, 1, 0, 0, 1, 4, 2, 3, 3, 3, 0, 1, 2, 1, 0, 3, 4, 0, 3, 3, 4, 1, 1, 4, 3, 4, 3, 0, 0, 3, 3, 3, 3, 3, 1, 4, 1, 2, 1, 4, 1, 4, 0, 1, 1, 4, 0, 3, 3, 0, 0, 1, 4, 1, 2, 1, 2, 0, 3, 0, 0, 3, 4, 4, 2, 2, 1, 3, 2, 1, 0, 3, 2, 3, 1, 3, 2, 4, 1, 2, 4, 3, 2, 4, 0, 4, 1, 4, 4, 3, 4, 1, 4, 1, 0, 4, 4, 1, 1, 3, 3, 0, 1, 4, 4, 3, 0, 4, 4, 0, 2, 2, 3, 4, 3, 4, 2, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 2, 4, 3, 2, 2, 3, 2, 2, 4, 3, 3, 0, 2, 1, 3, 3, 0, 2, 3, 0, 3, 4, 2, 4, 0, 1, 2, 4, 2, 4, 1, 0, 3, 1, 3, 2, 0, 1, 1, 2, 4, 1, 1, 3, 3, 4, 4, 1, 0, 0, 3, 2, 3, 1, 4, 3, 3, 3, 4, 3, 1, 0, 4, 4, 3, 3, 2, 1, 3, 0, 4, 3, 0, 3, 0, 4, 2, 3, 0, 1, 1, 3, 0, 4, 1, 4, 4, 3, 1, 3, 4, 4, 2, 2, 1, 0, 1, 0, 3, 4, 1, 2, 1, 3, 4, 0, 0, 0, 1, 1, 0, 4, 3, 2, 1, 3, 0, 4, 3, 1, 2, 1, 3, 0, 3, 0, 2, 3, 1, 1, 2, 3, 2, 4, 3, 2, 2, 1, 2, 4, 4, 1, 2, 0, 2, 2, 3, 0, 3, 0, 1, 4, 3, 0, 2, 1, 4, 3, 2, 2, 1, 1, 1, 0, 4, 3, 3, 3, 2, 3, 0, 2, 4, 0, 1, 1, 1, 0, 2, 1, 3, 1, 3, 0, 1, 3, 2, 0, 3, 4, 0, 4, 2, 1, 4, 1, 4, 3, 3, 3, 4, 3, 3, 0, 1, 3, 4, 2, 2, 0, 0, 4, 2, 4, 1, 2, 3, 1, 4, 3, 0, 2, 1, 4, 3, 1, 4, 0, 1, 2, 2, 1, 0, 3, 4, 2, 4, 1, 1, 2, 3, 2, 4, 2, 4, 3, 0, 0, 1, 3, 1, 3, 0, 2, 0, 1, 2, 3, 3, 0, 4, 3, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 3, 3, 4, 0, 1, 3, 2, 3, 1, 4, 0, 3, 3, 4, 3, 4, 3, 0, 3, 4, 2, 2, 0, 2, 4, 3, 3, 4, 1, 3, 3, 3, 0, 3, 0, 0, 4, 0, 0, 2, 3, 3, 1, 2, 1, 4, 4, 1, 3, 3, 4, 2, 3, 2, 1, 3, 3, 4, 3, 0, 4, 3, 2, 3, 2, 1, 1, 4, 3, 0, 1, 1, 2, 4] pubkeycol1753 = [4, 1, 4, 1, 1, 1, 4, 0, 0, 2, 1, 4, 4, 0, 2, 1, 2, 3, 1, 1, 3, 2, 4, 3, 2, 0, 3, 4, 2, 1, 1, 1, 3, 4, 0, 4, 2, 4, 3, 1, 3, 3, 2, 0, 2, 0, 0, 0, 3, 4, 4, 0, 0, 4, 1, 0, 0, 1, 3, 1, 3, 1, 0, 1, 0, 1, 4, 0, 4, 2, 2, 1, 4, 0, 1, 2, 3, 2, 4, 0, 1, 4, 0, 2, 0, 4, 1, 4, 3, 3, 4, 2, 0, 4, 4, 1, 0, 3, 3, 2, 0, 0, 0, 4, 4, 2, 2, 4, 2, 3, 3, 2, 2, 0, 0, 0, 2, 3, 2, 2, 3, 0, 0, 1, 2, 4, 4, 3, 0, 4, 0, 3, 0, 2, 4, 2, 3, 0, 4, 4, 0, 0, 0, 0, 2, 0, 4, 2, 3, 0, 2, 0, 2, 0, 0, 3, 0, 3, 1, 2, 1, 4, 4, 4, 4, 1, 4, 2, 1, 3, 0, 1, 3, 3, 1, 3, 2, 1, 2, 4, 0, 0, 1, 3, 4, 3, 0, 2, 2, 0, 3, 3, 1, 1, 2, 3, 3, 0, 1, 4, 1, 2, 2, 3, 3, 3, 2, 4, 2, 4, 0, 1, 2, 4, 4, 3, 4, 0, 2, 0, 4, 2, 3, 0, 1, 0, 0, 1, 0, 4, 3, 0, 4, 1, 0, 0, 4, 1, 3, 4, 4, 3, 2, 1, 1, 0, 4, 1, 1, 0, 3, 3, 2, 1, 3, 0, 3, 2, 2, 4, 1, 0, 1, 0, 0, 2, 4, 1, 3, 3, 1, 1, 0, 2, 1, 2, 3, 2, 1, 4, 0, 1, 3, 3, 2, 0, 1, 1, 4, 4, 1, 1, 4, 4, 0, 3, 1, 2, 1, 3, 1, 3, 0, 0, 3, 4, 3, 4, 0, 3, 3, 0, 0, 2, 0, 3, 1, 1, 0, 3, 3, 1, 0, 4, 4, 1, 0, 2, 2, 3, 2, 2, 0, 0, 0, 0, 2, 1, 0, 4, 2, 0, 2, 0, 0, 3, 2, 4, 1, 1, 3, 1, 0, 0, 1, 4, 2, 4, 4, 1, 0, 2, 0, 0, 1, 2, 1, 2, 3, 0, 2, 3, 3, 2, 3, 4, 1, 1, 0, 2, 3, 4, 2, 4, 4, 4, 3, 3, 0, 0, 2, 4, 1, 1, 4, 2, 4, 4, 4, 2, 3, 2, 0, 1, 3, 4, 3, 1, 4, 2, 3, 1, 4, 1, 1, 1, 2, 2, 3, 0, 0, 4, 4, 3, 0, 3, 3, 1, 4, 1, 2, 1, 1, 4, 2, 3, 0, 1, 2, 3, 4, 1, 4, 2, 1, 3, 3, 3, 2, 2, 2, 2, 1, 4, 0, 0, 2, 3, 0, 0, 1, 2, 0, 2, 0, 3, 3, 1, 1, 1, 2, 3, 0, 4, 1, 0, 1, 1, 2, 1] pubkeycol1754 = [3, 2, 4, 1, 4, 3, 4, 2, 3, 0, 4, 3, 1, 4, 1, 1, 1, 1, 0, 1, 2, 0, 3, 0, 2, 2, 4, 3, 0, 0, 0, 4, 4, 1, 3, 1, 3, 1, 0, 0, 1, 1, 2, 4, 1, 4, 1, 0, 2, 4, 4, 2, 3, 4, 0, 4, 0, 1, 3, 4, 3, 0, 1, 4, 2, 1, 2, 4, 3, 3, 0, 1, 2, 4, 1, 3, 2, 0, 4, 1, 3, 4, 0, 0, 3, 2, 0, 4, 1, 2, 1, 3, 1, 2, 1, 0, 2, 3, 2, 0, 4, 2, 0, 3, 0, 1, 4, 3, 0, 0, 4, 4, 2, 4, 0, 2, 3, 1, 3, 1, 3, 2, 3, 1, 0, 0, 2, 3, 4, 3, 2, 4, 2, 0, 3, 3, 0, 2, 4, 1, 0, 1, 4, 0, 2, 2, 4, 3, 4, 4, 3, 2, 1, 1, 3, 3, 2, 0, 3, 3, 2, 3, 4, 1, 2, 0, 0, 3, 0, 1, 4, 0, 4, 2, 0, 2, 3, 0, 2, 1, 2, 2, 0, 4, 1, 1, 1, 1, 1, 2, 3, 0, 2, 1, 2, 2, 3, 4, 2, 0, 0, 1, 3, 0, 3, 4, 3, 3, 3, 2, 0, 2, 0, 1, 0, 1, 0, 2, 4, 1, 4, 2, 4, 4, 3, 0, 3, 0, 0, 0, 0, 1, 1, 0, 2, 2, 3, 0, 2, 3, 0, 4, 3, 4, 1, 0, 1, 2, 4, 2, 1, 4, 3, 0, 1, 1, 4, 3, 1, 4, 2, 4, 1, 2, 2, 1, 3, 4, 0, 2, 3, 3, 3, 1, 4, 2, 1, 0, 1, 4, 0, 2, 1, 0, 3, 1, 0, 4, 4, 2, 0, 1, 1, 4, 2, 0, 1, 2, 3, 3, 1, 1, 1, 2, 0, 2, 3, 4, 3, 1, 0, 3, 1, 3, 2, 4, 4, 2, 3, 0, 2, 2, 1, 4, 0, 1, 0, 3, 0, 4, 2, 1, 3, 3, 1, 0, 0, 1, 1, 2, 0, 4, 2, 1, 3, 3, 0, 2, 4, 0, 3, 1, 0, 2, 2, 3, 4, 0, 4, 0, 3, 4, 3, 3, 4, 0, 3, 1, 3, 3, 3, 1, 3, 0, 3, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 4, 3, 0, 1, 0, 2, 2, 2, 1, 0, 0, 4, 1, 3, 1, 4, 2, 3, 1, 1, 4, 2, 0, 4, 2, 3, 1, 4, 0, 0, 4, 1, 2, 2, 1, 3, 2, 1, 3, 1, 4, 2, 2, 0, 1, 0, 2, 4, 4, 2, 2, 2, 1, 4, 1, 3, 3, 0, 0, 2, 1, 3, 3, 0, 3, 4, 1, 2, 4, 0, 4, 2, 0, 4, 1, 2, 0, 4, 4, 1, 3, 3, 3, 0, 2, 1, 3, 1, 1, 4, 1, 2, 4, 4, 3] pubkeycol1755 = [3, 4, 3, 4, 1, 4, 1, 4, 1, 1, 3, 1, 0, 1, 3, 3, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 0, 4, 0, 4, 2, 4, 3, 0, 2, 0, 3, 0, 3, 0, 0, 1, 2, 3, 4, 1, 3, 3, 0, 3, 4, 2, 1, 3, 3, 0, 1, 0, 3, 0, 0, 0, 0, 2, 4, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 2, 1, 4, 3, 3, 4, 1, 3, 0, 0, 1, 4, 2, 3, 1, 3, 3, 4, 4, 3, 2, 3, 0, 4, 3, 2, 1, 1, 0, 1, 3, 0, 4, 4, 3, 2, 1, 2, 3, 2, 3, 0, 3, 0, 2, 1, 0, 1, 2, 3, 1, 1, 3, 3, 0, 4, 3, 0, 1, 1, 2, 0, 1, 0, 4, 2, 2, 1, 2, 3, 3, 3, 2, 0, 0, 0, 3, 3, 0, 3, 2, 3, 1, 1, 0, 1, 3, 1, 4, 0, 0, 2, 1, 2, 3, 3, 3, 1, 0, 4, 1, 2, 1, 4, 0, 2, 3, 4, 3, 3, 0, 2, 4, 4, 3, 3, 3, 1, 0, 4, 3, 4, 1, 2, 2, 3, 3, 4, 2, 1, 3, 3, 1, 1, 2, 1, 0, 1, 1, 3, 2, 2, 3, 2, 2, 0, 1, 3, 1, 0, 4, 0, 2, 0, 1, 1, 0, 0, 1, 2, 3, 1, 4, 0, 1, 4, 0, 3, 3, 3, 3, 3, 3, 1, 4, 3, 4, 3, 0, 4, 0, 4, 3, 2, 1, 4, 2, 2, 4, 2, 0, 0, 1, 0, 4, 2, 1, 2, 2, 4, 0, 3, 3, 2, 3, 4, 3, 2, 0, 4, 3, 0, 1, 4, 1, 3, 3, 1, 0, 1, 0, 2, 1, 0, 2, 4, 3, 0, 2, 4, 3, 0, 0, 0, 3, 4, 1, 4, 2, 4, 0, 2, 1, 4, 4, 2, 0, 3, 1, 1, 4, 4, 1, 3, 4, 1, 3, 3, 2, 2, 3, 3, 0, 0, 3, 0, 0, 1, 4, 3, 1, 3, 2, 0, 3, 1, 3, 1, 3, 1, 4, 3, 1, 2, 0, 1, 1, 3, 2, 4, 0, 0, 0, 3, 1, 1, 4, 1, 4, 3, 1, 3, 0, 2, 0, 4, 0, 1, 3, 2, 3, 1, 2, 2, 3, 3, 0, 3, 2, 3, 1, 0, 3, 1, 1, 1, 4, 3, 2, 3, 4, 3, 1, 0, 3, 1, 0, 3, 2, 1, 3, 1, 1, 3, 0, 3, 1, 2, 2, 4, 1, 2, 2, 2, 1, 3, 3, 2, 2, 1, 0, 3, 3, 1, 3, 0, 4, 4, 0, 0, 2, 0, 4, 3, 3, 1, 0, 4, 2, 0, 4, 3, 0, 1, 3, 3, 4, 2, 0, 0, 3, 0, 3, 2, 1, 1, 1, 2, 4, 1] pubkeycol1756 = [2, 3, 3, 4, 4, 4, 1, 1, 1, 3, 4, 1, 4, 1, 1, 3, 2, 0, 2, 4, 0, 3, 3, 4, 2, 2, 0, 1, 4, 2, 0, 2, 3, 0, 1, 0, 1, 0, 4, 2, 0, 1, 1, 4, 1, 3, 3, 4, 1, 2, 4, 4, 3, 3, 2, 2, 3, 1, 0, 4, 3, 4, 1, 3, 2, 1, 0, 3, 4, 0, 2, 1, 2, 4, 2, 3, 3, 3, 2, 2, 0, 2, 0, 3, 3, 0, 2, 2, 1, 3, 1, 2, 3, 4, 0, 3, 2, 0, 0, 2, 0, 0, 1, 4, 3, 4, 0, 4, 0, 2, 3, 4, 2, 4, 4, 0, 0, 3, 2, 0, 3, 2, 3, 4, 4, 2, 3, 4, 2, 0, 2, 0, 3, 1, 1, 0, 0, 0, 2, 2, 1, 1, 4, 0, 1, 1, 4, 2, 1, 4, 0, 2, 3, 3, 1, 2, 3, 3, 1, 2, 4, 4, 3, 2, 1, 4, 1, 4, 0, 0, 1, 3, 2, 1, 2, 4, 1, 1, 1, 4, 3, 4, 0, 4, 2, 0, 0, 3, 2, 2, 0, 1, 2, 0, 2, 3, 4, 4, 2, 2, 2, 2, 4, 4, 1, 3, 0, 0, 3, 3, 3, 1, 3, 4, 2, 1, 4, 4, 2, 1, 2, 0, 4, 0, 0, 4, 0, 0, 3, 4, 2, 2, 1, 4, 1, 4, 0, 3, 3, 4, 3, 4, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 4, 2, 2, 2, 0, 4, 0, 2, 1, 3, 0, 1, 2, 4, 2, 1, 4, 2, 1, 4, 3, 1, 2, 2, 3, 2, 1, 2, 0, 4, 3, 1, 2, 4, 4, 0, 4, 4, 2, 4, 4, 1, 1, 3, 2, 1, 0, 2, 0, 0, 4, 2, 2, 3, 4, 2, 2, 3, 2, 3, 0, 3, 1, 4, 2, 2, 0, 2, 2, 1, 4, 3, 0, 2, 2, 0, 1, 4, 4, 2, 4, 0, 3, 1, 3, 2, 4, 4, 1, 0, 1, 0, 1, 4, 1, 4, 0, 4, 4, 0, 1, 2, 1, 2, 1, 4, 0, 4, 0, 4, 4, 4, 1, 2, 0, 3, 1, 2, 1, 2, 4, 0, 1, 4, 3, 2, 3, 1, 4, 4, 0, 4, 3, 2, 4, 2, 4, 2, 2, 3, 4, 4, 3, 2, 2, 4, 2, 1, 1, 0, 3, 2, 1, 4, 0, 4, 0, 0, 0, 4, 2, 0, 2, 4, 0, 4, 1, 1, 3, 3, 2, 0, 1, 0, 2, 3, 1, 4, 2, 4, 2, 0, 2, 4, 1, 2, 1, 0, 3, 3, 3, 2, 2, 3, 3, 0, 4, 0, 3, 4, 4, 2, 4, 2, 0, 3, 1, 3, 4, 1, 0, 3, 2, 4, 4, 0, 1, 4, 2, 0, 3, 2, 2, 3, 3, 3, 0, 2] pubkeycol1757 = [0, 2, 3, 2, 4, 2, 1, 0, 3, 2, 4, 2, 0, 1, 4, 4, 1, 4, 0, 3, 4, 1, 2, 1, 1, 3, 0, 2, 0, 0, 2, 4, 3, 1, 1, 0, 0, 3, 2, 3, 4, 1, 1, 4, 4, 1, 3, 0, 1, 0, 2, 2, 0, 2, 3, 0, 2, 1, 3, 0, 2, 0, 1, 4, 0, 2, 0, 1, 3, 3, 4, 0, 4, 2, 0, 4, 3, 2, 1, 1, 3, 4, 3, 1, 1, 0, 0, 4, 4, 0, 1, 3, 0, 3, 3, 3, 1, 1, 4, 3, 4, 2, 2, 3, 3, 2, 4, 4, 0, 4, 2, 3, 0, 4, 1, 1, 0, 0, 4, 0, 0, 3, 3, 0, 1, 4, 2, 0, 3, 4, 2, 4, 3, 4, 3, 3, 3, 0, 1, 2, 1, 0, 1, 4, 0, 3, 2, 2, 0, 1, 2, 3, 3, 2, 3, 1, 3, 3, 3, 4, 1, 1, 3, 2, 4, 1, 1, 3, 2, 2, 1, 1, 1, 0, 2, 3, 0, 2, 1, 0, 0, 4, 3, 2, 4, 4, 3, 1, 0, 1, 2, 4, 2, 1, 3, 0, 1, 1, 4, 2, 0, 3, 3, 0, 3, 0, 4, 4, 4, 1, 1, 0, 2, 2, 2, 0, 3, 0, 2, 3, 3, 3, 3, 4, 4, 1, 3, 3, 0, 4, 3, 4, 4, 2, 4, 0, 3, 0, 2, 0, 1, 2, 0, 2, 4, 3, 1, 1, 2, 1, 3, 2, 3, 0, 4, 4, 4, 1, 3, 2, 3, 2, 0, 0, 3, 3, 3, 2, 2, 3, 2, 4, 3, 0, 0, 0, 3, 1, 1, 0, 2, 1, 0, 3, 0, 4, 1, 1, 4, 1, 2, 2, 3, 1, 3, 3, 2, 2, 2, 4, 0, 3, 2, 0, 2, 1, 4, 3, 3, 2, 4, 2, 0, 1, 1, 3, 1, 0, 1, 3, 1, 2, 0, 2, 2, 3, 0, 0, 4, 1, 3, 0, 3, 2, 4, 4, 2, 2, 0, 4, 4, 4, 3, 3, 0, 0, 4, 1, 2, 3, 2, 4, 4, 3, 3, 4, 4, 3, 2, 2, 4, 1, 0, 2, 4, 4, 3, 3, 1, 4, 2, 1, 4, 0, 1, 0, 0, 0, 3, 4, 2, 1, 3, 4, 0, 4, 0, 4, 0, 3, 1, 0, 2, 1, 4, 0, 2, 0, 2, 0, 1, 1, 1, 1, 3, 4, 3, 1, 4, 2, 2, 4, 1, 3, 2, 2, 1, 1, 2, 4, 0, 0, 3, 1, 0, 4, 3, 0, 0, 1, 2, 2, 4, 1, 1, 4, 4, 1, 2, 0, 4, 2, 2, 1, 2, 0, 2, 2, 1, 4, 3, 3, 2, 1, 0, 2, 3, 0, 2, 2, 0, 2, 4, 2, 4, 4, 4, 4, 0, 1, 4, 2, 0, 0, 0, 1, 1, 0, 1, 4] pubkeycol1758 = [0, 0, 1, 2, 3, 1, 1, 4, 1, 2, 4, 0, 4, 0, 0, 1, 0, 2, 3, 1, 2, 1, 2, 2, 1, 3, 0, 2, 3, 3, 1, 1, 1, 3, 3, 1, 0, 4, 3, 4, 2, 0, 0, 3, 0, 4, 2, 3, 0, 0, 2, 1, 3, 2, 3, 4, 3, 2, 3, 4, 0, 1, 1, 4, 3, 4, 1, 0, 4, 4, 3, 3, 0, 3, 3, 3, 4, 0, 1, 4, 3, 3, 1, 0, 0, 3, 1, 4, 0, 2, 3, 1, 1, 0, 1, 4, 2, 1, 3, 0, 1, 2, 0, 3, 4, 1, 4, 3, 0, 4, 0, 0, 2, 4, 1, 2, 4, 1, 2, 2, 3, 4, 4, 3, 4, 0, 1, 2, 2, 4, 3, 0, 1, 2, 0, 3, 0, 3, 0, 3, 1, 0, 1, 1, 2, 4, 1, 3, 0, 2, 0, 2, 4, 4, 2, 2, 4, 3, 1, 0, 0, 0, 2, 4, 4, 3, 3, 4, 1, 0, 4, 2, 4, 3, 1, 0, 4, 4, 3, 1, 1, 3, 0, 2, 1, 2, 4, 0, 4, 0, 4, 4, 4, 1, 2, 4, 1, 0, 2, 0, 0, 3, 2, 3, 1, 1, 4, 4, 0, 3, 2, 2, 0, 0, 3, 4, 4, 4, 3, 3, 4, 2, 4, 2, 0, 3, 0, 4, 3, 0, 1, 4, 4, 2, 1, 2, 4, 1, 3, 2, 3, 4, 0, 2, 4, 0, 2, 2, 0, 0, 2, 1, 3, 0, 0, 0, 1, 1, 3, 2, 2, 0, 0, 3, 3, 0, 2, 0, 4, 4, 2, 1, 1, 0, 3, 2, 4, 2, 0, 2, 4, 4, 2, 2, 2, 2, 4, 1, 2, 2, 3, 1, 0, 3, 1, 4, 1, 4, 0, 2, 1, 3, 3, 0, 2, 1, 4, 3, 4, 1, 1, 2, 4, 1, 1, 3, 4, 3, 2, 2, 3, 0, 2, 2, 1, 0, 3, 4, 0, 1, 0, 3, 4, 2, 2, 0, 3, 3, 1, 2, 2, 1, 4, 1, 1, 0, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 2, 4, 4, 0, 0, 4, 3, 3, 0, 4, 2, 3, 3, 0, 2, 4, 2, 3, 4, 0, 1, 2, 4, 2, 1, 2, 4, 2, 3, 0, 4, 1, 2, 4, 4, 0, 1, 2, 1, 2, 2, 4, 0, 0, 3, 1, 3, 0, 4, 1, 3, 0, 0, 1, 2, 2, 2, 1, 2, 4, 2, 2, 4, 2, 0, 4, 1, 0, 0, 0, 4, 1, 1, 4, 3, 1, 4, 3, 2, 3, 1, 1, 2, 2, 0, 1, 0, 1, 1, 3, 2, 0, 0, 1, 3, 4, 2, 2, 3, 1, 1, 1, 0, 0, 3, 2, 3, 4, 4, 4, 1, 2, 1, 2, 4, 3, 0, 0, 2, 1, 0, 1, 0, 3] pubkeycol1759 = [0, 4, 3, 2, 4, 1, 4, 4, 1, 0, 2, 2, 1, 1, 2, 2, 2, 4, 1, 3, 4, 1, 0, 0, 2, 0, 3, 0, 4, 4, 3, 0, 3, 2, 1, 2, 2, 2, 2, 3, 2, 1, 4, 3, 1, 4, 2, 4, 1, 2, 3, 4, 3, 2, 0, 1, 3, 1, 3, 1, 0, 0, 3, 3, 3, 2, 2, 2, 0, 2, 2, 1, 3, 4, 2, 2, 4, 4, 4, 4, 0, 2, 3, 1, 3, 3, 4, 4, 0, 2, 0, 1, 1, 2, 1, 2, 1, 4, 0, 3, 1, 0, 4, 2, 3, 0, 0, 2, 4, 2, 0, 0, 1, 3, 0, 1, 4, 4, 1, 4, 0, 1, 3, 0, 1, 0, 1, 2, 3, 0, 4, 1, 0, 2, 2, 4, 3, 1, 2, 0, 4, 0, 4, 3, 3, 0, 3, 3, 0, 0, 4, 1, 3, 1, 2, 2, 3, 2, 3, 3, 0, 0, 4, 1, 4, 4, 1, 1, 2, 1, 2, 3, 1, 4, 3, 1, 2, 3, 4, 1, 1, 0, 2, 0, 0, 4, 0, 0, 2, 1, 2, 0, 1, 1, 4, 3, 1, 3, 2, 2, 4, 0, 0, 1, 3, 0, 3, 4, 0, 1, 4, 1, 1, 2, 0, 2, 2, 4, 4, 2, 4, 2, 4, 2, 0, 3, 0, 1, 1, 0, 2, 2, 3, 0, 4, 0, 2, 3, 3, 4, 0, 1, 1, 0, 3, 2, 3, 3, 3, 0, 4, 1, 3, 1, 4, 4, 3, 4, 3, 0, 0, 1, 4, 3, 0, 4, 1, 1, 4, 4, 4, 3, 0, 2, 1, 1, 2, 2, 3, 0, 3, 2, 0, 4, 1, 2, 0, 1, 2, 1, 0, 3, 2, 4, 4, 3, 2, 2, 1, 1, 0, 3, 4, 4, 3, 3, 2, 2, 0, 4, 2, 1, 2, 2, 0, 0, 3, 3, 1, 0, 1, 3, 2, 3, 3, 4, 2, 2, 0, 3, 3, 0, 3, 0, 4, 0, 4, 0, 2, 2, 3, 1, 1, 3, 1, 1, 0, 1, 4, 3, 0, 0, 1, 0, 3, 0, 1, 3, 4, 3, 4, 0, 3, 1, 4, 2, 4, 4, 4, 4, 4, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 4, 2, 4, 2, 4, 1, 4, 4, 3, 2, 3, 0, 2, 0, 1, 2, 2, 1, 3, 4, 1, 0, 1, 1, 1, 1, 4, 2, 2, 3, 0, 3, 1, 3, 1, 4, 0, 4, 3, 4, 0, 2, 4, 0, 4, 2, 1, 1, 0, 0, 0, 3, 1, 1, 3, 1, 3, 3, 1, 0, 3, 3, 0, 2, 0, 2, 3, 0, 0, 4, 2, 2, 1, 4, 3, 0, 0, 1, 2, 0, 4, 4, 1, 4, 0, 3, 1, 4, 2, 0, 0, 1, 1, 3, 4, 1, 0, 1, 1] pubkeycol1760 = [3, 1, 1, 1, 1, 2, 0, 2, 0, 3, 1, 2, 1, 3, 3, 4, 1, 0, 3, 2, 0, 2, 0, 3, 3, 0, 3, 4, 0, 1, 3, 1, 0, 4, 0, 2, 0, 4, 3, 3, 1, 4, 3, 0, 0, 3, 0, 1, 3, 3, 3, 2, 3, 2, 4, 0, 3, 3, 4, 3, 1, 3, 3, 3, 1, 4, 2, 3, 2, 1, 4, 2, 2, 0, 2, 0, 4, 0, 1, 3, 3, 3, 0, 2, 1, 4, 1, 3, 3, 0, 0, 2, 4, 4, 0, 0, 0, 3, 0, 0, 1, 1, 3, 1, 3, 1, 1, 1, 2, 1, 3, 0, 2, 1, 1, 0, 0, 4, 0, 2, 3, 1, 4, 0, 4, 0, 3, 4, 2, 3, 4, 3, 2, 2, 1, 3, 3, 2, 0, 4, 2, 0, 0, 1, 3, 4, 3, 1, 2, 1, 0, 4, 2, 2, 4, 3, 3, 0, 4, 1, 0, 0, 3, 3, 4, 1, 2, 4, 4, 4, 3, 4, 4, 0, 1, 1, 0, 4, 2, 1, 4, 4, 3, 4, 4, 1, 2, 3, 4, 3, 3, 4, 0, 0, 3, 2, 4, 0, 4, 1, 3, 1, 1, 0, 2, 2, 4, 1, 0, 0, 1, 4, 0, 4, 0, 2, 4, 3, 4, 2, 3, 1, 1, 3, 4, 3, 3, 4, 4, 0, 4, 3, 4, 1, 2, 1, 1, 3, 3, 4, 2, 0, 3, 2, 3, 1, 3, 0, 2, 3, 4, 1, 3, 4, 4, 1, 3, 3, 1, 0, 4, 3, 4, 1, 3, 4, 3, 3, 2, 1, 4, 1, 4, 3, 1, 2, 1, 0, 2, 1, 1, 0, 1, 3, 4, 1, 1, 3, 2, 4, 2, 3, 3, 1, 3, 2, 1, 0, 2, 2, 1, 4, 0, 3, 0, 1, 4, 0, 0, 0, 0, 3, 0, 1, 4, 2, 3, 0, 2, 4, 4, 4, 3, 4, 0, 1, 3, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 2, 2, 4, 1, 4, 2, 0, 0, 2, 4, 1, 3, 4, 3, 0, 2, 3, 2, 2, 4, 1, 4, 2, 0, 1, 3, 0, 3, 0, 4, 1, 3, 4, 0, 0, 0, 4, 4, 4, 3, 0, 1, 4, 0, 4, 0, 2, 0, 2, 4, 1, 4, 0, 1, 4, 1, 4, 4, 2, 3, 1, 1, 0, 1, 3, 0, 2, 3, 3, 0, 4, 4, 3, 2, 3, 2, 4, 4, 2, 1, 2, 4, 3, 4, 3, 4, 4, 3, 2, 4, 1, 4, 4, 0, 2, 3, 1, 3, 1, 0, 4, 2, 0, 4, 4, 1, 3, 1, 0, 1, 4, 1, 4, 1, 3, 3, 2, 1, 2, 4, 0, 0, 1, 3, 1, 2, 3, 3, 1, 3, 0, 3, 1, 3, 2, 0, 1, 3, 0, 0, 2, 0, 2] pubkeycol1761 = [2, 1, 3, 2, 3, 4, 0, 4, 3, 4, 0, 3, 4, 4, 2, 3, 0, 0, 2, 0, 1, 4, 1, 3, 2, 1, 0, 2, 1, 0, 0, 0, 2, 4, 2, 4, 4, 1, 2, 2, 2, 2, 2, 0, 4, 4, 2, 2, 1, 3, 1, 3, 1, 1, 4, 1, 4, 4, 0, 0, 4, 1, 4, 4, 2, 0, 0, 0, 3, 1, 4, 1, 2, 3, 4, 0, 1, 0, 4, 4, 4, 0, 0, 3, 3, 2, 1, 0, 2, 2, 2, 4, 3, 1, 3, 0, 4, 2, 0, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 4, 4, 0, 0, 1, 4, 1, 1, 3, 1, 2, 1, 1, 1, 3, 0, 4, 3, 3, 2, 2, 2, 0, 3, 4, 3, 4, 3, 2, 2, 0, 2, 1, 0, 2, 2, 1, 4, 0, 1, 3, 3, 4, 0, 1, 2, 2, 0, 1, 3, 2, 4, 4, 4, 3, 4, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 4, 0, 2, 3, 0, 4, 0, 4, 1, 3, 2, 2, 0, 2, 0, 4, 1, 0, 0, 1, 0, 4, 3, 1, 1, 0, 4, 4, 3, 3, 4, 0, 1, 1, 1, 2, 3, 3, 4, 3, 1, 0, 2, 2, 1, 2, 2, 1, 2, 3, 1, 4, 3, 2, 3, 3, 4, 3, 0, 4, 4, 4, 0, 1, 4, 4, 1, 2, 3, 2, 4, 3, 0, 3, 1, 1, 1, 1, 1, 3, 0, 1, 3, 3, 3, 0, 1, 0, 1, 1, 2, 3, 2, 4, 0, 4, 1, 1, 4, 1, 4, 0, 3, 0, 4, 1, 4, 2, 2, 0, 4, 2, 2, 0, 3, 0, 4, 2, 0, 0, 1, 2, 4, 0, 4, 3, 4, 4, 4, 4, 4, 0, 4, 0, 1, 0, 0, 4, 2, 0, 4, 1, 3, 0, 2, 0, 1, 2, 1, 2, 3, 0, 4, 3, 4, 0, 0, 3, 1, 4, 1, 4, 4, 1, 1, 4, 0, 1, 3, 0, 4, 0, 3, 3, 4, 2, 2, 0, 1, 3, 3, 3, 0, 3, 0, 3, 4, 3, 4, 3, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 4, 0, 0, 3, 4, 3, 3, 2, 0, 2, 2, 4, 2, 3, 3, 3, 2, 0, 3, 1, 4, 2, 3, 0, 4, 0, 4, 2, 2, 2, 2, 4, 0, 0, 3, 3, 2, 1, 1, 1, 0, 4, 3, 2, 0, 0, 3, 3, 0, 2, 1, 2, 3, 3, 2, 1, 3, 2, 4, 0, 1, 0, 1, 1, 4, 0, 4, 4, 0, 3, 4, 4, 1, 0, 3, 3, 0, 4, 0, 1, 1, 0, 2, 4, 0, 3, 1, 3, 0, 2, 4, 0, 3, 1, 3, 0, 0, 2, 4, 2, 3, 4, 1] pubkeycol1762 = [3, 0, 0, 3, 2, 0, 1, 1, 0, 2, 4, 3, 4, 4, 0, 1, 4, 4, 3, 0, 1, 1, 0, 0, 4, 4, 3, 0, 3, 3, 2, 3, 2, 3, 2, 2, 0, 1, 1, 1, 3, 2, 3, 3, 4, 0, 0, 0, 4, 3, 4, 2, 3, 0, 0, 1, 3, 4, 1, 1, 3, 2, 1, 0, 2, 1, 4, 2, 3, 0, 3, 2, 3, 3, 3, 1, 1, 4, 2, 3, 4, 0, 3, 3, 4, 0, 4, 0, 0, 3, 3, 0, 2, 4, 3, 3, 0, 0, 2, 4, 0, 0, 3, 4, 4, 2, 0, 0, 1, 0, 3, 1, 2, 3, 3, 0, 4, 2, 4, 0, 1, 2, 1, 0, 2, 0, 2, 4, 4, 1, 0, 0, 2, 0, 3, 2, 0, 0, 1, 4, 4, 4, 2, 1, 4, 2, 3, 3, 1, 1, 4, 4, 1, 0, 4, 2, 4, 2, 4, 0, 3, 3, 3, 2, 4, 4, 1, 3, 3, 0, 4, 1, 0, 4, 4, 0, 4, 0, 3, 2, 1, 0, 2, 3, 2, 3, 2, 4, 1, 3, 3, 3, 3, 3, 4, 3, 3, 3, 0, 1, 2, 0, 3, 4, 4, 2, 0, 4, 4, 2, 0, 3, 2, 2, 0, 0, 4, 4, 3, 1, 1, 4, 4, 1, 1, 4, 3, 0, 1, 2, 1, 4, 4, 1, 0, 0, 3, 2, 2, 1, 3, 1, 4, 4, 1, 0, 1, 1, 0, 2, 0, 4, 4, 2, 3, 4, 3, 3, 2, 1, 4, 3, 1, 1, 2, 4, 4, 0, 1, 4, 1, 2, 2, 4, 4, 3, 0, 4, 0, 4, 0, 0, 0, 4, 1, 4, 4, 4, 0, 2, 4, 2, 4, 2, 0, 4, 0, 4, 4, 4, 4, 2, 4, 4, 1, 4, 2, 4, 1, 0, 0, 3, 0, 2, 3, 2, 2, 1, 3, 1, 3, 0, 3, 2, 0, 4, 0, 3, 4, 0, 0, 4, 1, 1, 0, 2, 0, 1, 0, 0, 2, 4, 1, 3, 1, 3, 0, 1, 4, 1, 4, 0, 2, 4, 3, 0, 3, 1, 2, 4, 3, 0, 0, 0, 4, 4, 2, 1, 3, 0, 1, 0, 1, 2, 1, 0, 3, 2, 0, 3, 1, 0, 2, 4, 1, 0, 2, 4, 1, 1, 0, 2, 1, 1, 3, 0, 4, 2, 4, 4, 2, 0, 3, 3, 0, 0, 4, 2, 1, 4, 2, 0, 4, 3, 2, 0, 2, 3, 3, 3, 3, 4, 0, 4, 3, 1, 3, 3, 2, 2, 0, 1, 3, 4, 1, 1, 1, 2, 3, 0, 0, 2, 3, 0, 2, 2, 2, 2, 4, 1, 3, 4, 4, 3, 0, 0, 1, 4, 3, 0, 0, 4, 3, 4, 0, 2, 3, 2, 4, 2, 3, 4, 3, 4, 4, 3, 4, 4, 3, 2] pubkeycol1763 = [0, 0, 4, 2, 3, 1, 0, 3, 2, 3, 0, 1, 1, 3, 1, 3, 2, 4, 2, 3, 3, 2, 3, 1, 1, 2, 1, 1, 4, 0, 1, 3, 3, 0, 2, 4, 0, 0, 1, 2, 0, 3, 0, 2, 3, 4, 0, 3, 0, 3, 4, 3, 1, 3, 4, 3, 2, 1, 2, 3, 4, 3, 4, 3, 2, 1, 3, 0, 3, 0, 2, 2, 2, 4, 4, 4, 2, 4, 2, 3, 1, 0, 1, 2, 1, 0, 2, 2, 2, 3, 4, 0, 2, 2, 0, 3, 0, 0, 4, 3, 1, 1, 3, 1, 3, 1, 2, 2, 3, 4, 3, 4, 3, 0, 3, 1, 4, 1, 1, 3, 1, 3, 2, 4, 4, 0, 4, 4, 4, 4, 1, 3, 3, 4, 3, 4, 3, 4, 4, 0, 1, 4, 1, 0, 1, 4, 4, 1, 0, 2, 0, 2, 1, 4, 0, 3, 2, 4, 4, 3, 2, 1, 1, 2, 0, 1, 1, 1, 4, 3, 3, 0, 0, 2, 3, 1, 2, 1, 4, 3, 3, 1, 3, 2, 0, 0, 4, 1, 2, 0, 4, 2, 1, 1, 2, 3, 0, 0, 1, 3, 1, 1, 2, 2, 3, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 3, 4, 2, 4, 1, 4, 4, 0, 4, 0, 0, 3, 4, 0, 3, 1, 0, 3, 0, 3, 2, 2, 3, 4, 2, 4, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 3, 2, 1, 2, 2, 0, 0, 4, 4, 0, 3, 2, 0, 1, 2, 1, 1, 2, 3, 1, 1, 2, 0, 3, 4, 4, 1, 4, 3, 4, 4, 2, 0, 0, 0, 1, 1, 0, 0, 4, 3, 1, 1, 1, 1, 0, 1, 0, 1, 4, 4, 1, 0, 4, 4, 0, 2, 3, 0, 3, 0, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 0, 2, 4, 0, 1, 2, 1, 4, 2, 3, 2, 3, 1, 1, 0, 2, 4, 4, 4, 4, 1, 1, 0, 4, 2, 2, 0, 3, 1, 1, 0, 0, 4, 0, 2, 3, 0, 2, 3, 0, 3, 1, 1, 0, 3, 3, 4, 2, 3, 2, 3, 4, 2, 2, 0, 1, 0, 1, 3, 4, 3, 4, 3, 3, 0, 3, 0, 2, 4, 4, 2, 4, 0, 4, 4, 4, 1, 0, 2, 3, 3, 3, 2, 3, 4, 3, 0, 1, 4, 2, 2, 2, 1, 3, 4, 0, 4, 4, 0, 3, 2, 3, 2, 0, 4, 1, 3, 2, 4, 0, 1, 1, 3, 1, 0, 4, 3, 4, 4, 3, 0, 4, 2, 1, 4, 4, 3, 0, 2, 0, 3, 0, 1, 3, 2, 1, 1, 4, 0, 0, 1, 0, 4, 4, 1, 2, 0, 4, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol1764 = [4, 0, 2, 4, 1, 0, 2, 3, 4, 1, 2, 4, 0, 3, 2, 4, 1, 2, 0, 4, 2, 3, 4, 1, 2, 3, 4, 2, 0, 1, 4, 3, 2, 0, 3, 2, 3, 0, 4, 2, 3, 3, 4, 1, 0, 3, 2, 1, 0, 1, 1, 3, 0, 3, 4, 1, 4, 3, 4, 0, 2, 1, 0, 1, 2, 0, 1, 4, 4, 2, 0, 0, 3, 2, 2, 1, 0, 3, 0, 1, 1, 4, 4, 0, 4, 3, 2, 1, 2, 1, 2, 3, 1, 4, 1, 3, 3, 0, 3, 1, 1, 2, 4, 1, 3, 3, 0, 3, 4, 3, 3, 1, 4, 2, 2, 4, 4, 3, 4, 0, 0, 2, 3, 0, 3, 1, 2, 2, 3, 0, 4, 3, 1, 1, 4, 4, 0, 1, 4, 4, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 3, 3, 4, 4, 1, 4, 4, 0, 3, 2, 4, 0, 3, 4, 4, 4, 0, 0, 3, 2, 0, 1, 4, 4, 0, 0, 0, 3, 0, 0, 3, 0, 0, 1, 4, 1, 2, 4, 4, 3, 0, 4, 1, 2, 1, 1, 0, 4, 0, 1, 4, 0, 4, 3, 1, 2, 0, 0, 2, 4, 2, 0, 2, 3, 1, 4, 4, 0, 2, 3, 1, 2, 4, 0, 4, 3, 2, 2, 4, 4, 0, 1, 2, 0, 4, 3, 1, 2, 3, 0, 0, 4, 0, 1, 4, 4, 4, 3, 3, 3, 1, 0, 0, 1, 3, 3, 2, 2, 1, 2, 0, 4, 0, 2, 3, 0, 2, 4, 2, 4, 4, 0, 2, 3, 2, 4, 4, 2, 0, 0, 1, 3, 1, 1, 2, 1, 2, 3, 4, 1, 2, 1, 0, 1, 0, 1, 2, 3, 4, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 2, 0, 1, 1, 3, 1, 0, 1, 3, 4, 2, 3, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 4, 3, 0, 1, 4, 1, 4, 1, 2, 3, 4, 4, 3, 4, 2, 4, 0, 0, 1, 1, 3, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 3, 3, 1, 4, 0, 1, 4, 3, 4, 2, 0, 0, 3, 4, 2, 3, 2, 2, 1, 3, 0, 4, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 3, 1, 1, 2, 4, 4, 4, 1, 1, 1, 4, 0, 2, 4, 2, 0, 3, 1, 1, 1, 2, 1, 4, 2, 0, 2, 2, 0, 0, 4, 1, 3, 0, 4, 1, 1, 1, 3, 0, 3, 0, 4, 0, 0, 3, 0, 1, 0, 3, 4, 3, 3, 1, 0, 4, 1, 1, 1, 2, 3, 1, 3, 1, 1, 4, 2, 3, 3, 0, 2, 3, 1, 4, 4, 1, 3, 4, 3] pubkeycol1765 = [0, 4, 1, 0, 2, 0, 4, 3, 3, 0, 2, 4, 4, 1, 3, 2, 3, 4, 4, 2, 3, 4, 0, 1, 4, 2, 4, 4, 4, 3, 2, 3, 2, 2, 1, 4, 2, 4, 2, 0, 4, 1, 2, 0, 2, 0, 3, 0, 4, 2, 1, 0, 1, 1, 1, 3, 4, 2, 4, 4, 4, 3, 3, 3, 0, 0, 0, 0, 2, 1, 3, 4, 2, 4, 1, 1, 3, 4, 4, 0, 0, 0, 2, 4, 1, 1, 4, 1, 2, 3, 1, 3, 1, 3, 2, 0, 0, 3, 4, 1, 4, 4, 3, 4, 2, 1, 3, 1, 4, 3, 1, 1, 3, 3, 4, 4, 4, 3, 2, 2, 0, 1, 2, 3, 2, 1, 4, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 0, 0, 4, 0, 0, 1, 1, 0, 1, 0, 1, 3, 4, 3, 4, 1, 0, 3, 0, 1, 0, 2, 4, 2, 3, 0, 1, 0, 0, 2, 1, 0, 2, 3, 4, 2, 4, 4, 0, 4, 3, 4, 3, 1, 3, 4, 4, 0, 3, 1, 4, 3, 2, 0, 3, 0, 2, 1, 4, 3, 3, 4, 3, 2, 2, 4, 1, 3, 2, 4, 4, 0, 4, 4, 3, 3, 2, 2, 3, 3, 2, 3, 2, 2, 4, 4, 1, 1, 1, 4, 4, 4, 4, 2, 3, 0, 3, 4, 0, 4, 4, 4, 3, 1, 0, 0, 3, 2, 3, 1, 1, 4, 4, 1, 2, 2, 1, 1, 2, 2, 0, 4, 3, 3, 4, 0, 3, 2, 0, 1, 1, 1, 3, 2, 4, 1, 0, 2, 0, 4, 1, 3, 4, 3, 2, 0, 4, 4, 4, 3, 4, 3, 2, 3, 0, 1, 3, 2, 1, 3, 1, 0, 3, 0, 0, 0, 4, 4, 1, 4, 4, 1, 4, 0, 3, 1, 3, 0, 0, 1, 1, 1, 0, 0, 2, 4, 0, 1, 2, 3, 3, 2, 4, 1, 3, 4, 0, 4, 4, 1, 4, 1, 2, 2, 0, 2, 4, 0, 3, 4, 4, 1, 3, 0, 2, 3, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 3, 3, 4, 2, 0, 1, 0, 2, 2, 1, 3, 3, 1, 3, 2, 3, 3, 1, 1, 2, 0, 4, 0, 3, 2, 2, 1, 0, 2, 3, 2, 1, 0, 2, 2, 3, 3, 0, 2, 4, 4, 0, 4, 1, 1, 4, 1, 1, 1, 2, 0, 0, 1, 0, 2, 3, 0, 1, 2, 2, 0, 3, 0, 0, 4, 1, 2, 4, 2, 4, 3, 0, 3, 0, 4, 1, 3, 4, 1, 1, 3, 3, 4, 0, 1, 2, 3, 0, 0, 4, 3, 4, 0, 2, 3, 1, 1, 0, 0, 0, 3, 3, 3, 2, 3, 0, 2, 0, 1, 1, 3, 3, 2, 1, 4, 0, 1] pubkeycol1766 = [1, 0, 4, 3, 1, 3, 3, 2, 4, 1, 1, 4, 3, 4, 4, 3, 1, 1, 2, 1, 0, 3, 0, 0, 3, 4, 1, 3, 2, 2, 2, 1, 3, 4, 2, 0, 1, 3, 3, 1, 4, 0, 0, 0, 3, 4, 0, 0, 3, 3, 0, 2, 1, 1, 3, 0, 4, 3, 4, 3, 3, 0, 4, 4, 2, 0, 2, 1, 4, 0, 1, 3, 2, 4, 4, 0, 4, 2, 4, 0, 3, 3, 1, 2, 0, 3, 2, 1, 2, 4, 2, 3, 3, 4, 2, 2, 4, 4, 0, 2, 3, 3, 3, 2, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 1, 0, 0, 1, 2, 3, 3, 0, 3, 2, 1, 2, 1, 2, 1, 2, 3, 3, 4, 4, 1, 4, 0, 1, 4, 4, 2, 3, 1, 1, 2, 4, 3, 0, 2, 4, 1, 3, 1, 3, 3, 2, 3, 3, 0, 0, 4, 4, 3, 4, 0, 0, 4, 0, 2, 2, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 4, 3, 1, 4, 3, 4, 4, 3, 2, 0, 0, 3, 3, 2, 0, 3, 1, 1, 1, 1, 3, 2, 2, 4, 1, 1, 1, 3, 4, 4, 4, 4, 3, 3, 1, 2, 4, 3, 1, 2, 4, 4, 3, 3, 1, 4, 4, 4, 2, 1, 1, 2, 4, 4, 1, 4, 3, 0, 4, 1, 1, 1, 2, 4, 1, 0, 4, 0, 3, 3, 0, 2, 4, 0, 2, 4, 4, 1, 4, 0, 3, 0, 1, 0, 3, 2, 2, 1, 1, 2, 0, 4, 1, 3, 3, 0, 0, 1, 4, 3, 4, 1, 1, 1, 2, 1, 4, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 4, 4, 4, 1, 0, 4, 0, 4, 4, 3, 2, 4, 1, 4, 4, 4, 0, 1, 4, 3, 4, 0, 3, 0, 1, 4, 1, 1, 3, 0, 0, 2, 3, 0, 3, 3, 2, 4, 0, 4, 1, 3, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 1, 2, 2, 2, 3, 4, 0, 4, 1, 1, 0, 2, 4, 1, 2, 3, 3, 1, 2, 0, 0, 3, 3, 0, 1, 0, 3, 1, 1, 1, 4, 2, 3, 3, 2, 2, 4, 0, 3, 4, 3, 0, 3, 2, 3, 2, 4, 2, 3, 0, 1, 1, 0, 2, 1, 2, 0, 3, 2, 0, 4, 2, 3, 0, 3, 2, 3, 2, 4, 2, 2, 4, 3, 0, 2, 4, 1, 4, 3, 4, 1, 1, 2, 0, 3, 3, 2, 1, 3, 0, 4, 3, 4, 4, 3, 2, 3, 0, 4, 3, 4, 2, 4, 4, 3, 2, 1, 3, 2, 1, 1, 2, 3, 4, 3, 3, 1, 0, 3, 3, 4, 3, 2, 4, 0, 2, 3, 4, 3, 1, 3] pubkeycol1767 = [4, 3, 4, 4, 4, 4, 3, 2, 2, 2, 1, 4, 3, 2, 1, 4, 2, 0, 1, 3, 0, 3, 3, 0, 4, 0, 1, 0, 0, 3, 4, 1, 3, 4, 3, 1, 3, 4, 1, 3, 2, 3, 0, 4, 4, 4, 2, 2, 2, 1, 3, 2, 2, 4, 0, 2, 0, 3, 4, 2, 4, 4, 0, 4, 3, 4, 2, 4, 2, 0, 0, 1, 4, 4, 2, 2, 0, 0, 0, 4, 4, 4, 3, 0, 3, 2, 0, 2, 1, 1, 3, 3, 4, 3, 2, 3, 2, 2, 3, 3, 2, 0, 3, 0, 3, 2, 3, 4, 3, 1, 1, 3, 0, 2, 0, 2, 4, 3, 1, 3, 4, 2, 4, 4, 3, 4, 1, 1, 0, 1, 0, 2, 3, 4, 2, 3, 3, 1, 3, 0, 1, 2, 4, 0, 1, 0, 4, 0, 0, 0, 0, 1, 4, 2, 0, 0, 3, 4, 3, 3, 4, 1, 1, 3, 2, 4, 2, 0, 3, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 4, 0, 4, 2, 3, 0, 2, 2, 2, 0, 4, 2, 4, 0, 4, 1, 3, 0, 3, 1, 2, 0, 3, 2, 4, 0, 2, 3, 1, 0, 3, 0, 0, 3, 4, 0, 2, 0, 4, 1, 2, 1, 4, 1, 3, 3, 0, 3, 4, 1, 2, 1, 4, 3, 3, 4, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 4, 4, 3, 3, 0, 2, 2, 3, 3, 0, 1, 0, 0, 3, 4, 2, 2, 4, 0, 2, 1, 0, 1, 1, 0, 0, 0, 4, 2, 3, 0, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 3, 3, 0, 0, 0, 4, 1, 2, 0, 4, 3, 3, 2, 1, 3, 3, 4, 3, 2, 2, 0, 2, 3, 3, 0, 1, 4, 1, 0, 3, 1, 3, 4, 2, 2, 3, 4, 4, 0, 0, 4, 3, 3, 0, 0, 4, 1, 4, 0, 3, 1, 0, 4, 3, 0, 0, 1, 3, 3, 4, 3, 1, 4, 2, 3, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 3, 0, 3, 1, 0, 4, 2, 4, 2, 1, 4, 4, 3, 0, 3, 2, 0, 0, 4, 0, 3, 1, 4, 2, 4, 3, 2, 3, 3, 3, 1, 0, 0, 4, 0, 3, 3, 4, 4, 1, 3, 4, 3, 4, 4, 4, 3, 2, 2, 2, 0, 3, 1, 0, 0, 1, 2, 4, 2, 3, 1, 4, 4, 4, 1, 2, 3, 4, 1, 3, 0, 4, 1, 0, 0, 2, 2, 4, 4, 3, 2, 0, 1, 0, 2, 4, 0, 4, 3, 4, 0, 4, 1, 2, 3, 3, 3, 4, 0, 2, 3, 2, 2, 4, 3, 3, 0, 2, 2, 1, 0, 4, 4, 4, 4, 0] pubkeycol1768 = [2, 4, 4, 1, 4, 4, 4, 1, 3, 3, 2, 4, 0, 2, 0, 1, 3, 1, 1, 0, 1, 4, 1, 3, 2, 4, 0, 2, 4, 2, 1, 4, 2, 3, 3, 3, 2, 0, 1, 3, 3, 2, 0, 4, 4, 3, 1, 4, 1, 4, 1, 1, 3, 3, 4, 4, 4, 3, 3, 1, 3, 4, 0, 1, 0, 2, 4, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 3, 2, 3, 3, 3, 1, 0, 1, 4, 1, 1, 4, 1, 3, 2, 3, 0, 3, 4, 4, 2, 1, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 4, 0, 2, 2, 4, 2, 2, 1, 2, 0, 2, 3, 1, 4, 1, 2, 4, 4, 0, 3, 4, 3, 1, 0, 3, 4, 1, 2, 4, 4, 0, 3, 0, 3, 0, 1, 2, 3, 1, 0, 0, 0, 0, 3, 1, 3, 3, 0, 2, 3, 4, 1, 0, 4, 0, 3, 3, 1, 2, 4, 0, 0, 3, 2, 1, 0, 3, 1, 4, 1, 1, 0, 2, 1, 2, 2, 0, 3, 3, 1, 3, 0, 4, 0, 0, 0, 3, 1, 1, 1, 3, 4, 2, 2, 3, 2, 3, 1, 2, 3, 2, 0, 3, 1, 1, 3, 4, 2, 4, 3, 1, 3, 4, 1, 4, 4, 1, 2, 2, 0, 3, 4, 1, 3, 0, 1, 0, 1, 0, 4, 3, 0, 4, 2, 2, 0, 1, 1, 4, 4, 2, 2, 0, 1, 4, 2, 4, 2, 4, 2, 1, 1, 4, 4, 3, 1, 0, 2, 0, 3, 3, 1, 0, 2, 1, 0, 1, 3, 4, 3, 2, 1, 3, 4, 2, 1, 3, 0, 3, 0, 4, 4, 3, 1, 4, 0, 4, 4, 3, 1, 4, 2, 3, 3, 3, 1, 2, 3, 3, 1, 4, 4, 1, 3, 1, 3, 4, 0, 3, 4, 1, 2, 4, 3, 3, 2, 3, 1, 3, 3, 0, 4, 4, 2, 4, 0, 4, 4, 4, 1, 1, 2, 4, 4, 4, 4, 2, 3, 0, 4, 3, 3, 0, 3, 3, 0, 3, 2, 2, 0, 4, 2, 3, 4, 3, 1, 2, 2, 4, 4, 3, 0, 2, 4, 3, 1, 0, 0, 1, 3, 1, 1, 1, 1, 2, 0, 2, 2, 4, 0, 1, 1, 4, 3, 1, 0, 3, 4, 3, 4, 2, 0, 1, 4, 1, 4, 1, 1, 1, 3, 2, 2, 0, 0, 2, 1, 0, 1, 3, 4, 2, 0, 0, 3, 3, 1, 2, 1, 3, 0, 1, 4, 0, 0, 1, 2, 3, 2, 1, 4, 3, 3, 4, 4, 0, 4, 3, 4, 1, 4, 4, 0, 3, 3, 2, 2, 3, 3, 3, 4, 4, 0, 2, 1, 3, 0, 0, 2, 0, 2, 2, 1, 3, 1, 2, 0, 4] pubkeycol1769 = [4, 1, 4, 4, 4, 2, 4, 0, 4, 1, 0, 0, 2, 3, 4, 4, 4, 4, 2, 1, 1, 0, 4, 0, 1, 2, 3, 1, 2, 1, 1, 4, 3, 3, 4, 1, 0, 4, 2, 0, 2, 2, 4, 1, 1, 4, 1, 2, 4, 0, 0, 1, 2, 0, 1, 3, 2, 2, 1, 4, 1, 0, 2, 2, 3, 0, 4, 3, 0, 1, 0, 2, 2, 2, 2, 3, 1, 3, 3, 3, 1, 0, 0, 0, 1, 1, 0, 1, 2, 4, 4, 4, 0, 3, 4, 4, 0, 1, 3, 3, 4, 3, 3, 1, 3, 4, 4, 1, 0, 3, 4, 0, 4, 4, 4, 3, 2, 4, 4, 1, 2, 2, 4, 3, 0, 0, 3, 3, 4, 2, 1, 2, 1, 0, 0, 0, 1, 3, 2, 3, 1, 2, 3, 0, 2, 1, 4, 3, 2, 1, 1, 0, 4, 3, 1, 2, 0, 3, 3, 0, 1, 0, 3, 2, 4, 2, 1, 1, 0, 0, 0, 4, 3, 0, 3, 0, 4, 3, 4, 4, 0, 3, 4, 4, 1, 0, 4, 2, 3, 2, 2, 0, 0, 4, 3, 4, 3, 2, 2, 1, 0, 3, 0, 1, 0, 3, 0, 2, 1, 2, 2, 4, 0, 1, 4, 1, 4, 4, 2, 3, 4, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 4, 3, 3, 0, 1, 2, 4, 1, 0, 0, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 0, 0, 4, 3, 4, 4, 1, 4, 3, 3, 1, 4, 3, 0, 2, 0, 2, 2, 4, 0, 4, 1, 4, 3, 2, 2, 3, 4, 4, 4, 0, 2, 1, 0, 3, 3, 2, 3, 3, 4, 3, 3, 3, 2, 1, 4, 0, 1, 1, 2, 0, 3, 2, 0, 4, 2, 4, 3, 0, 1, 3, 0, 0, 2, 3, 2, 3, 0, 1, 0, 4, 3, 3, 3, 0, 3, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 4, 0, 0, 0, 1, 0, 1, 3, 1, 4, 2, 3, 4, 3, 1, 2, 0, 0, 0, 4, 0, 1, 2, 0, 2, 2, 4, 1, 1, 4, 3, 4, 1, 3, 0, 3, 3, 1, 4, 0, 1, 3, 4, 1, 4, 2, 1, 4, 1, 2, 1, 2, 2, 2, 4, 1, 3, 2, 4, 3, 0, 4, 0, 0, 3, 3, 3, 1, 0, 3, 0, 1, 3, 2, 4, 4, 0, 4, 2, 1, 3, 2, 3, 3, 0, 4, 4, 1, 4, 0, 4, 1, 2, 2, 3, 2, 2, 0, 0, 4, 4, 1, 1, 4, 2, 4, 0, 1, 4, 4, 4, 4, 2, 1, 2, 3, 4, 3, 0, 1, 0, 2, 2, 4, 3, 0, 2, 0, 4, 1, 2, 4, 4, 0, 4, 2, 3, 1, 4, 3, 4, 1]