kilobytes = 127.936191855086 q = 3 m = 7 n = 1924 s = 0 t = 32 u = 64 k = 1476 w = 48 ciphertext = [1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1] recovered_plaintext_using_secret_key = True pubkeycol448 = [2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol449 = [0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol450 = [1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1] pubkeycol451 = [0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol452 = [1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol453 = [2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0] pubkeycol454 = [1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0] pubkeycol455 = [2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2] pubkeycol456 = [1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1] pubkeycol457 = [0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol458 = [2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol459 = [0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0] pubkeycol460 = [1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol461 = [2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol462 = [1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2] pubkeycol463 = [1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol464 = [1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol465 = [1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol466 = [1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1] pubkeycol467 = [1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol468 = [2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol469 = [1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol470 = [1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2] pubkeycol471 = [0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2] pubkeycol472 = [0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0] pubkeycol473 = [0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0] pubkeycol474 = [2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol475 = [0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0] pubkeycol476 = [1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1] pubkeycol477 = [2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol478 = [1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0] pubkeycol479 = [1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol480 = [0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2] pubkeycol481 = [1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0] pubkeycol482 = [1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol483 = [1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2] pubkeycol484 = [2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol485 = [2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol486 = [1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2] pubkeycol487 = [1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol488 = [0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2] pubkeycol489 = [0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol490 = [2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0] pubkeycol491 = [1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol492 = [1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2] pubkeycol493 = [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0] pubkeycol494 = [1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol495 = [1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol496 = [2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol497 = [1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1] pubkeycol498 = [1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol499 = [1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2] pubkeycol500 = [1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1] pubkeycol501 = [0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2] pubkeycol502 = [1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol503 = [0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0] pubkeycol504 = [2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol505 = [0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1] pubkeycol506 = [0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol507 = [2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2] pubkeycol508 = [0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol509 = [1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol510 = [1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1] pubkeycol511 = [1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol512 = [0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol513 = [2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1] pubkeycol514 = [2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol515 = [0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0] pubkeycol516 = [0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol517 = [0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol518 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0] pubkeycol519 = [0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1] pubkeycol520 = [0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0] pubkeycol521 = [0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0] pubkeycol522 = [0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol523 = [0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol524 = [2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol525 = [2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1] pubkeycol526 = [2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol527 = [0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol528 = [1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol529 = [2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol530 = [2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol531 = [2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1] pubkeycol532 = [1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol533 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0] pubkeycol534 = [2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol535 = [0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1] pubkeycol536 = [0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol537 = [1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol538 = [1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol539 = [2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol540 = [1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol541 = [0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1] pubkeycol542 = [0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1] pubkeycol543 = [1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1] pubkeycol544 = [0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1] pubkeycol545 = [1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1] pubkeycol546 = [2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2] pubkeycol547 = [1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol548 = [1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol549 = [1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol550 = [0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1] pubkeycol551 = [1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2] pubkeycol552 = [0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol553 = [0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol554 = [1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol555 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol556 = [0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2] pubkeycol557 = [2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol558 = [1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol559 = [2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1] pubkeycol560 = [2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol561 = [1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol562 = [2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol563 = [0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol564 = [2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol565 = [1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol566 = [2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol567 = [1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol568 = [2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol569 = [0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1] pubkeycol570 = [0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2] pubkeycol571 = [1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0] pubkeycol572 = [0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol573 = [0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol574 = [2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0] pubkeycol575 = [1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2] pubkeycol576 = [1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol577 = [2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2] pubkeycol578 = [0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol579 = [1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol580 = [1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1] pubkeycol581 = [0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol582 = [0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol583 = [2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2] pubkeycol584 = [1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol585 = [0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol586 = [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol587 = [2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1] pubkeycol588 = [2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol589 = [0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0] pubkeycol590 = [2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol591 = [1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol592 = [1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol593 = [0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1] pubkeycol594 = [0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol595 = [1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol596 = [0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol597 = [0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol598 = [0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol599 = [0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol600 = [0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol601 = [0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol602 = [2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol603 = [1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol604 = [0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2] pubkeycol605 = [2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0] pubkeycol606 = [0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol607 = [1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1] pubkeycol608 = [2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol609 = [2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol610 = [2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol611 = [2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol612 = [2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2] pubkeycol613 = [1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol614 = [0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0] pubkeycol615 = [0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2] pubkeycol616 = [1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol617 = [2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol618 = [0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol619 = [1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol620 = [2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0] pubkeycol621 = [2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2] pubkeycol622 = [1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol623 = [0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol624 = [2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol625 = [2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol626 = [1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol627 = [1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0] pubkeycol628 = [1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol629 = [1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol630 = [0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol631 = [0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol632 = [0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2] pubkeycol633 = [2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0] pubkeycol634 = [0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol635 = [1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol636 = [1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1] pubkeycol637 = [1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol638 = [1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1] pubkeycol639 = [0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0] pubkeycol640 = [2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol641 = [1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol642 = [0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol643 = [1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0] pubkeycol644 = [0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol645 = [1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2] pubkeycol646 = [2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol647 = [0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol648 = [2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol649 = [2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol650 = [0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol651 = [2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol652 = [1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol653 = [1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol654 = [0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol655 = [2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2] pubkeycol656 = [1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol657 = [2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol658 = [1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0] pubkeycol659 = [2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol660 = [2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol661 = [1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol662 = [1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol663 = [1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol664 = [2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol665 = [1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol666 = [2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2] pubkeycol667 = [0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol668 = [0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol669 = [1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1] pubkeycol670 = [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol671 = [1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0] pubkeycol672 = [2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol673 = [0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol674 = [2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol675 = [0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1] pubkeycol676 = [2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol677 = [0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol678 = [2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2] pubkeycol679 = [2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol680 = [2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol681 = [2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol682 = [0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol683 = [0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0] pubkeycol684 = [2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol685 = [0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol686 = [0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol687 = [1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol688 = [1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0] pubkeycol689 = [1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol690 = [0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2] pubkeycol691 = [0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0] pubkeycol692 = [2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2] pubkeycol693 = [2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1] pubkeycol694 = [1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol695 = [0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol696 = [2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1] pubkeycol697 = [2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol698 = [1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1] pubkeycol699 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol700 = [0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol701 = [1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol702 = [1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol703 = [0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol704 = [0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol705 = [1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol706 = [2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2] pubkeycol707 = [2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol708 = [2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2] pubkeycol709 = [1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol710 = [0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol711 = [0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol712 = [1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol713 = [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1] pubkeycol714 = [1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol715 = [1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2] pubkeycol716 = [1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol717 = [2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol718 = [2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol719 = [1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol720 = [1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol721 = [2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2] pubkeycol722 = [1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol723 = [2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol724 = [0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol725 = [0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0] pubkeycol726 = [1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol727 = [0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1] pubkeycol728 = [0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol729 = [2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol730 = [0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol731 = [0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2] pubkeycol732 = [1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol733 = [0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol734 = [0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol735 = [2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol736 = [0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1] pubkeycol737 = [2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2] pubkeycol738 = [1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0] pubkeycol739 = [2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0] pubkeycol740 = [2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1] pubkeycol741 = [2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol742 = [0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol743 = [2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1] pubkeycol744 = [1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol745 = [1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol746 = [2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0] pubkeycol747 = [1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol748 = [0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol749 = [1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1] pubkeycol750 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol751 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0] pubkeycol752 = [0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol753 = [1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol754 = [0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol755 = [1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol756 = [1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1] pubkeycol757 = [2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0] pubkeycol758 = [0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol759 = [2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol760 = [0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol761 = [1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol762 = [1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol763 = [0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2] pubkeycol764 = [1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1] pubkeycol765 = [1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1] pubkeycol766 = [0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol767 = [2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2] pubkeycol768 = [0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0] pubkeycol769 = [2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol770 = [0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0] pubkeycol771 = [0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1] pubkeycol772 = [1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol773 = [0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol774 = [1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol775 = [2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2] pubkeycol776 = [0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1] pubkeycol777 = [1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1] pubkeycol778 = [2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1] pubkeycol779 = [2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1] pubkeycol780 = [2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol781 = [1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2] pubkeycol782 = [0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol783 = [1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2] pubkeycol784 = [1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol785 = [1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2] pubkeycol786 = [0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol787 = [2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1] pubkeycol788 = [0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol789 = [1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol790 = [0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1] pubkeycol791 = [2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol792 = [2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol793 = [2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol794 = [0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol795 = [2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol796 = [2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol797 = [0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol798 = [1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol799 = [1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol800 = [2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol801 = [2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol802 = [0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2] pubkeycol803 = [0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol804 = [2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol805 = [2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol806 = [0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0] pubkeycol807 = [1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol808 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1] pubkeycol809 = [2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol810 = [0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol811 = [2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol812 = [1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol813 = [1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol814 = [1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol815 = [2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol816 = [1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol817 = [0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol818 = [1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol819 = [0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol820 = [2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0] pubkeycol821 = [1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol822 = [2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol823 = [2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol824 = [0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol825 = [0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol826 = [2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2] pubkeycol827 = [2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol828 = [2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol829 = [1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1] pubkeycol830 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol831 = [0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol832 = [2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol833 = [0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol834 = [0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1] pubkeycol835 = [1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1] pubkeycol836 = [0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol837 = [1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0] pubkeycol838 = [2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0] pubkeycol839 = [1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1] pubkeycol840 = [2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol841 = [1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0] pubkeycol842 = [1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1] pubkeycol843 = [0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol844 = [2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1] pubkeycol845 = [2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2] pubkeycol846 = [1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0] pubkeycol847 = [1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol848 = [1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol849 = [2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol850 = [1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol851 = [0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol852 = [0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2] pubkeycol853 = [2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1] pubkeycol854 = [0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2] pubkeycol855 = [2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol856 = [0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol857 = [2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1] pubkeycol858 = [1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2] pubkeycol859 = [0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol860 = [1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol861 = [1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0] pubkeycol862 = [2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol863 = [0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1] pubkeycol864 = [0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol865 = [0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2] pubkeycol866 = [2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol867 = [0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol868 = [0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol869 = [1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol870 = [0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol871 = [0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2] pubkeycol872 = [1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol873 = [1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol874 = [0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol875 = [2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol876 = [1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1] pubkeycol877 = [2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2] pubkeycol878 = [1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2] pubkeycol879 = [0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol880 = [2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol881 = [0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol882 = [2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol883 = [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2] pubkeycol884 = [1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2] pubkeycol885 = [0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol886 = [0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1] pubkeycol887 = [2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol888 = [0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2] pubkeycol889 = [2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1] pubkeycol890 = [0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol891 = [0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol892 = [0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2] pubkeycol893 = [0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol894 = [2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol895 = [2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol896 = [2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol897 = [0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol898 = [0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol899 = [1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol900 = [2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol901 = [2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol902 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol903 = [0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1] pubkeycol904 = [2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1] pubkeycol905 = [0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol906 = [2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol907 = [2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol908 = [2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol909 = [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol910 = [2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol911 = [0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol912 = [1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1] pubkeycol913 = [2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0] pubkeycol914 = [0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol915 = [2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol916 = [1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol917 = [2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol918 = [1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1] pubkeycol919 = [1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol920 = [1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1] pubkeycol921 = [1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0] pubkeycol922 = [0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2] pubkeycol923 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0] pubkeycol924 = [0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0] pubkeycol925 = [2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1] pubkeycol926 = [2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol927 = [1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol928 = [0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol929 = [1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol930 = [1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol931 = [0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0] pubkeycol932 = [1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol933 = [2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol934 = [1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol935 = [0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1] pubkeycol936 = [0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol937 = [1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol938 = [0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol939 = [2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol940 = [1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol941 = [2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol942 = [2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol943 = [1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0] pubkeycol944 = [0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol945 = [2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol946 = [1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2] pubkeycol947 = [0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol948 = [1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol949 = [0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2] pubkeycol950 = [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2] pubkeycol951 = [0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol952 = [1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol953 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol954 = [0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1] pubkeycol955 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol956 = [1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol957 = [0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol958 = [2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol959 = [2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0] pubkeycol960 = [1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol961 = [0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0] pubkeycol962 = [0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol963 = [2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0] pubkeycol964 = [2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1] pubkeycol965 = [1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol966 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol967 = [0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1] pubkeycol968 = [0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol969 = [2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol970 = [1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0] pubkeycol971 = [1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol972 = [1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2] pubkeycol973 = [0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol974 = [0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol975 = [1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol976 = [0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol977 = [0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol978 = [2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol979 = [2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol980 = [2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol981 = [0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol982 = [1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol983 = [2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol984 = [2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol985 = [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol986 = [1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol987 = [2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol988 = [1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol989 = [2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol990 = [2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol991 = [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1] pubkeycol992 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol993 = [1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2] pubkeycol994 = [2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol995 = [1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2] pubkeycol996 = [2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol997 = [1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol998 = [1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol999 = [2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1] pubkeycol1000 = [1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2] pubkeycol1001 = [0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol1002 = [0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0] pubkeycol1003 = [2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol1004 = [2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol1005 = [2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2] pubkeycol1006 = [2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol1007 = [0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol1008 = [2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol1009 = [0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0] pubkeycol1010 = [2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1] pubkeycol1011 = [2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol1012 = [2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol1013 = [2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol1014 = [1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol1015 = [2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2] pubkeycol1016 = [2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2] pubkeycol1017 = [2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol1018 = [2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol1019 = [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol1020 = [2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1] pubkeycol1021 = [1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2] pubkeycol1022 = [0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol1023 = [2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0] pubkeycol1024 = [2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol1025 = [1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol1026 = [1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol1027 = [1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol1028 = [1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2] pubkeycol1029 = [0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol1030 = [2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol1031 = [2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol1032 = [2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol1033 = [1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1] pubkeycol1034 = [2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol1035 = [1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol1036 = [1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol1037 = [1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol1038 = [0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2] pubkeycol1039 = [1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol1040 = [1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol1041 = [2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol1042 = [2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol1043 = [1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol1044 = [0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol1045 = [2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2] pubkeycol1046 = [0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol1047 = [2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol1048 = [0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol1049 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol1050 = [2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol1051 = [1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0] pubkeycol1052 = [2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol1053 = [1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol1054 = [2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol1055 = [1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0] pubkeycol1056 = [1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol1057 = [0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol1058 = [0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol1059 = [2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0] pubkeycol1060 = [0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol1061 = [2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol1062 = [0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol1063 = [2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0] pubkeycol1064 = [2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1] pubkeycol1065 = [1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol1066 = [2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0] pubkeycol1067 = [1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol1068 = [1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol1069 = [1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1] pubkeycol1070 = [0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol1071 = [2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2] pubkeycol1072 = [0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2] pubkeycol1073 = [1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0] pubkeycol1074 = [0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0] pubkeycol1075 = [2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol1076 = [2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol1077 = [0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol1078 = [2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol1079 = [2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol1080 = [2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0] pubkeycol1081 = [1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol1082 = [2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0] pubkeycol1083 = [1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0] pubkeycol1084 = [0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol1085 = [2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol1086 = [0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol1087 = [2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol1088 = [2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol1089 = [2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol1090 = [1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol1091 = [1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol1092 = [2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol1093 = [1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0] pubkeycol1094 = [0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol1095 = [0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1096 = [2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol1097 = [1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0] pubkeycol1098 = [1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol1099 = [1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol1100 = [1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol1101 = [1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol1102 = [0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol1103 = [0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol1104 = [1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2] pubkeycol1105 = [2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol1106 = [2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1] pubkeycol1107 = [2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol1108 = [2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0] pubkeycol1109 = [2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol1110 = [0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2] pubkeycol1111 = [1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol1112 = [2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol1113 = [1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol1114 = [1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol1115 = [0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0] pubkeycol1116 = [0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol1117 = [2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0] pubkeycol1118 = [0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol1119 = [0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol1120 = [1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2] pubkeycol1121 = [1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol1122 = [1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol1123 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol1124 = [2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol1125 = [0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1] pubkeycol1126 = [1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol1127 = [1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol1128 = [0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol1129 = [0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0] pubkeycol1130 = [2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1] pubkeycol1131 = [2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2] pubkeycol1132 = [0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2] pubkeycol1133 = [2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol1134 = [1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol1135 = [0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol1136 = [1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol1137 = [0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol1138 = [1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2] pubkeycol1139 = [0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol1140 = [2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1] pubkeycol1141 = [1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol1142 = [1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol1143 = [0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol1144 = [2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol1145 = [1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol1146 = [0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2] pubkeycol1147 = [0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol1148 = [1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2] pubkeycol1149 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol1150 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1] pubkeycol1151 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol1152 = [1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1] pubkeycol1153 = [2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol1154 = [2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol1155 = [2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol1156 = [2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol1157 = [1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol1158 = [2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol1159 = [1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol1160 = [1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol1161 = [0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol1162 = [2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol1163 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol1164 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol1165 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol1166 = [2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol1167 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0] pubkeycol1168 = [0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0] pubkeycol1169 = [0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol1170 = [0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol1171 = [0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol1172 = [2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1173 = [1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol1174 = [0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol1175 = [0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol1176 = [1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol1177 = [0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol1178 = [2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol1179 = [2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2] pubkeycol1180 = [0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol1181 = [1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2] pubkeycol1182 = [0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol1183 = [2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol1184 = [1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol1185 = [0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol1186 = [1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol1187 = [0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol1188 = [2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol1189 = [1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol1190 = [0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0] pubkeycol1191 = [1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol1192 = [0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol1193 = [2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0] pubkeycol1194 = [0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol1195 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1] pubkeycol1196 = [0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol1197 = [0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol1198 = [0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2] pubkeycol1199 = [1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol1200 = [1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol1201 = [2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol1202 = [1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol1203 = [0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2] pubkeycol1204 = [0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0] pubkeycol1205 = [2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol1206 = [2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol1207 = [1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol1208 = [1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0] pubkeycol1209 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol1210 = [1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol1211 = [1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol1212 = [1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol1213 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0] pubkeycol1214 = [0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol1215 = [2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol1216 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol1217 = [2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol1218 = [0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol1219 = [2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol1220 = [0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol1221 = [2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol1222 = [0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol1223 = [0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol1224 = [1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0] pubkeycol1225 = [2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol1226 = [2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol1227 = [2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol1228 = [2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol1229 = [2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol1230 = [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0] pubkeycol1231 = [0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol1232 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol1233 = [0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1] pubkeycol1234 = [0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0] pubkeycol1235 = [0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol1236 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1] pubkeycol1237 = [1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1] pubkeycol1238 = [1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2] pubkeycol1239 = [0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol1240 = [0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol1241 = [2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol1242 = [2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol1243 = [2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol1244 = [0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0] pubkeycol1245 = [1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol1246 = [0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol1247 = [2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol1248 = [0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol1249 = [1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1] pubkeycol1250 = [2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol1251 = [2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol1252 = [2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol1253 = [2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol1254 = [2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol1255 = [2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol1256 = [0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol1257 = [2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol1258 = [2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol1259 = [0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol1260 = [2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol1261 = [2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2] pubkeycol1262 = [1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol1263 = [0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol1264 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0] pubkeycol1265 = [0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol1266 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol1267 = [0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1] pubkeycol1268 = [2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1] pubkeycol1269 = [0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol1270 = [1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol1271 = [2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol1272 = [0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol1273 = [0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol1274 = [0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol1275 = [0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol1276 = [0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol1277 = [2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol1278 = [1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol1279 = [0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol1280 = [0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0] pubkeycol1281 = [0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol1282 = [0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2] pubkeycol1283 = [0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol1284 = [1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0] pubkeycol1285 = [0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1] pubkeycol1286 = [2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0] pubkeycol1287 = [1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1] pubkeycol1288 = [2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1] pubkeycol1289 = [2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol1290 = [0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2] pubkeycol1291 = [1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol1292 = [1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol1293 = [2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol1294 = [1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol1295 = [2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol1296 = [0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol1297 = [1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol1298 = [0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol1299 = [2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol1300 = [2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol1301 = [2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol1302 = [1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol1303 = [1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol1304 = [1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1] pubkeycol1305 = [2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol1306 = [0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol1307 = [0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1] pubkeycol1308 = [2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol1309 = [0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2] pubkeycol1310 = [2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol1311 = [1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol1312 = [1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol1313 = [2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol1314 = [0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol1315 = [1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2] pubkeycol1316 = [1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol1317 = [2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1] pubkeycol1318 = [1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol1319 = [0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol1320 = [0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol1321 = [1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol1322 = [1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol1323 = [0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol1324 = [2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol1325 = [0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol1326 = [1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol1327 = [1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol1328 = [1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol1329 = [1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol1330 = [1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2] pubkeycol1331 = [1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2] pubkeycol1332 = [2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol1333 = [0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol1334 = [1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2] pubkeycol1335 = [0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0] pubkeycol1336 = [2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol1337 = [1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol1338 = [1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0] pubkeycol1339 = [1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol1340 = [2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol1341 = [0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0] pubkeycol1342 = [1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol1343 = [2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2] pubkeycol1344 = [0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0] pubkeycol1345 = [2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol1346 = [2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol1347 = [0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0] pubkeycol1348 = [0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol1349 = [2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol1350 = [1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2] pubkeycol1351 = [0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0] pubkeycol1352 = [2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol1353 = [1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol1354 = [0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol1355 = [2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol1356 = [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol1357 = [1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1] pubkeycol1358 = [1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0] pubkeycol1359 = [2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2] pubkeycol1360 = [2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0] pubkeycol1361 = [0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol1362 = [1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0] pubkeycol1363 = [1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol1364 = [2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol1365 = [1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1] pubkeycol1366 = [2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol1367 = [2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol1368 = [2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol1369 = [2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol1370 = [0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2] pubkeycol1371 = [0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2] pubkeycol1372 = [2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol1373 = [1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1] pubkeycol1374 = [1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol1375 = [2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2] pubkeycol1376 = [0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol1377 = [0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2] pubkeycol1378 = [2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2] pubkeycol1379 = [0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol1380 = [2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol1381 = [2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol1382 = [2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol1383 = [2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol1384 = [1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1] pubkeycol1385 = [0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol1386 = [2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol1387 = [2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol1388 = [2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol1389 = [1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol1390 = [2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol1391 = [0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol1392 = [2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol1393 = [0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol1394 = [1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol1395 = [0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol1396 = [2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0] pubkeycol1397 = [0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol1398 = [2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol1399 = [2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol1400 = [0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol1401 = [1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol1402 = [0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol1403 = [1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1404 = [0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol1405 = [2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol1406 = [2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol1407 = [2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol1408 = [1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0] pubkeycol1409 = [2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol1410 = [2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol1411 = [1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0] pubkeycol1412 = [2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol1413 = [1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol1414 = [1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol1415 = [1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol1416 = [1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol1417 = [0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2] pubkeycol1418 = [2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1] pubkeycol1419 = [1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0] pubkeycol1420 = [0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol1421 = [2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2] pubkeycol1422 = [0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol1423 = [2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol1424 = [0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol1425 = [1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol1426 = [1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol1427 = [0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol1428 = [0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol1429 = [1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1] pubkeycol1430 = [1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1] pubkeycol1431 = [0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol1432 = [1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol1433 = [1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol1434 = [0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol1435 = [2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol1436 = [2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0] pubkeycol1437 = [1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1] pubkeycol1438 = [2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2] pubkeycol1439 = [0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1] pubkeycol1440 = [1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol1441 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol1442 = [0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol1443 = [0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol1444 = [0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1] pubkeycol1445 = [0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol1446 = [0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol1447 = [1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1] pubkeycol1448 = [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol1449 = [1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol1450 = [0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol1451 = [0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol1452 = [1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol1453 = [1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2] pubkeycol1454 = [2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2] pubkeycol1455 = [0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol1456 = [2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol1457 = [0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol1458 = [1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol1459 = [1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol1460 = [1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0] pubkeycol1461 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol1462 = [1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1] pubkeycol1463 = [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1] pubkeycol1464 = [0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1] pubkeycol1465 = [1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol1466 = [0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2] pubkeycol1467 = [1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol1468 = [1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol1469 = [1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0] pubkeycol1470 = [1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol1471 = [2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2] pubkeycol1472 = [1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0] pubkeycol1473 = [2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2] pubkeycol1474 = [1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1] pubkeycol1475 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol1476 = [2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol1477 = [1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol1478 = [0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1] pubkeycol1479 = [0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol1480 = [2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol1481 = [2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol1482 = [1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol1483 = [1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol1484 = [0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol1485 = [0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol1486 = [1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol1487 = [1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol1488 = [2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2] pubkeycol1489 = [0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2] pubkeycol1490 = [2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol1491 = [2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol1492 = [0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol1493 = [0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2] pubkeycol1494 = [0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol1495 = [2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol1496 = [0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2] pubkeycol1497 = [0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1] pubkeycol1498 = [0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol1499 = [1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol1500 = [0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol1501 = [0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1] pubkeycol1502 = [1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol1503 = [1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol1504 = [2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0] pubkeycol1505 = [2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol1506 = [1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol1507 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1] pubkeycol1508 = [1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2] pubkeycol1509 = [2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2] pubkeycol1510 = [1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1] pubkeycol1511 = [2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol1512 = [0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2] pubkeycol1513 = [1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol1514 = [0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0] pubkeycol1515 = [0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol1516 = [2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol1517 = [2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol1518 = [0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0] pubkeycol1519 = [2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol1520 = [0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol1521 = [0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol1522 = [2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2] pubkeycol1523 = [0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol1524 = [1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1525 = [1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol1526 = [1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0] pubkeycol1527 = [1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2] pubkeycol1528 = [1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol1529 = [0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol1530 = [1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2] pubkeycol1531 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol1532 = [0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol1533 = [2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol1534 = [1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol1535 = [2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol1536 = [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol1537 = [1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol1538 = [2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol1539 = [0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol1540 = [2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol1541 = [2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol1542 = [2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol1543 = [1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0] pubkeycol1544 = [1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0] pubkeycol1545 = [1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol1546 = [1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol1547 = [0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol1548 = [2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2] pubkeycol1549 = [2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol1550 = [1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol1551 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol1552 = [0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0] pubkeycol1553 = [1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol1554 = [0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol1555 = [0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1] pubkeycol1556 = [1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol1557 = [1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol1558 = [2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol1559 = [2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0] pubkeycol1560 = [2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2] pubkeycol1561 = [1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol1562 = [0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol1563 = [1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol1564 = [0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0] pubkeycol1565 = [2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol1566 = [0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol1567 = [2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol1568 = [2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol1569 = [0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0] pubkeycol1570 = [0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol1571 = [1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol1572 = [1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol1573 = [0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1] pubkeycol1574 = [2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol1575 = [1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1] pubkeycol1576 = [2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2] pubkeycol1577 = [2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol1578 = [0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol1579 = [1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol1580 = [0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol1581 = [1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0] pubkeycol1582 = [2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1] pubkeycol1583 = [1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2] pubkeycol1584 = [1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol1585 = [0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1] pubkeycol1586 = [0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2] pubkeycol1587 = [0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1] pubkeycol1588 = [1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol1589 = [0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol1590 = [1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol1591 = [2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol1592 = [2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol1593 = [1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol1594 = [0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0] pubkeycol1595 = [2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol1596 = [1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2] pubkeycol1597 = [2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol1598 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1] pubkeycol1599 = [0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol1600 = [2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol1601 = [0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol1602 = [2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2] pubkeycol1603 = [1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol1604 = [0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol1605 = [0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol1606 = [1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol1607 = [0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1] pubkeycol1608 = [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol1609 = [1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol1610 = [0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol1611 = [0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol1612 = [2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2] pubkeycol1613 = [2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol1614 = [2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol1615 = [2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0] pubkeycol1616 = [0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol1617 = [1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol1618 = [2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol1619 = [1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0] pubkeycol1620 = [1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol1621 = [1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0] pubkeycol1622 = [1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol1623 = [0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2] pubkeycol1624 = [1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1] pubkeycol1625 = [2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol1626 = [0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0] pubkeycol1627 = [0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol1628 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0] pubkeycol1629 = [1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol1630 = [2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol1631 = [2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol1632 = [1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol1633 = [2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol1634 = [0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol1635 = [2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol1636 = [0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol1637 = [2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol1638 = [2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2] pubkeycol1639 = [1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2] pubkeycol1640 = [1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol1641 = [1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol1642 = [0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2] pubkeycol1643 = [2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0] pubkeycol1644 = [1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol1645 = [0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2] pubkeycol1646 = [0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2] pubkeycol1647 = [0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol1648 = [2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol1649 = [2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol1650 = [2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol1651 = [2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol1652 = [1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol1653 = [1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1] pubkeycol1654 = [2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol1655 = [2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol1656 = [1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2] pubkeycol1657 = [1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol1658 = [2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol1659 = [1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol1660 = [1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol1661 = [2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol1662 = [2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol1663 = [1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol1664 = [2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol1665 = [0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol1666 = [2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol1667 = [2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1] pubkeycol1668 = [2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol1669 = [1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol1670 = [2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0] pubkeycol1671 = [1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol1672 = [0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol1673 = [1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol1674 = [1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol1675 = [1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol1676 = [0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol1677 = [1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol1678 = [2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol1679 = [0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol1680 = [0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol1681 = [2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol1682 = [0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol1683 = [0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol1684 = [0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1] pubkeycol1685 = [2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol1686 = [2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1] pubkeycol1687 = [1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol1688 = [0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol1689 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2] pubkeycol1690 = [2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol1691 = [2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol1692 = [2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1] pubkeycol1693 = [0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol1694 = [1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol1695 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0] pubkeycol1696 = [1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol1697 = [0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0] pubkeycol1698 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol1699 = [2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol1700 = [2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0] pubkeycol1701 = [1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol1702 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol1703 = [0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol1704 = [0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol1705 = [0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1] pubkeycol1706 = [1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol1707 = [1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol1708 = [1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1] pubkeycol1709 = [1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol1710 = [0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol1711 = [1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1] pubkeycol1712 = [2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2] pubkeycol1713 = [0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0] pubkeycol1714 = [0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol1715 = [0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol1716 = [2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol1717 = [0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol1718 = [2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0] pubkeycol1719 = [1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol1720 = [2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol1721 = [1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol1722 = [2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2] pubkeycol1723 = [0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol1724 = [0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2] pubkeycol1725 = [0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol1726 = [2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol1727 = [2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol1728 = [2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol1729 = [1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol1730 = [0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol1731 = [1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol1732 = [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0] pubkeycol1733 = [0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol1734 = [2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol1735 = [1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol1736 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol1737 = [0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol1738 = [1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1] pubkeycol1739 = [0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol1740 = [0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol1741 = [1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2] pubkeycol1742 = [1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol1743 = [2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol1744 = [1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol1745 = [1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2] pubkeycol1746 = [1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol1747 = [0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2] pubkeycol1748 = [1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol1749 = [2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0] pubkeycol1750 = [0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1] pubkeycol1751 = [1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0] pubkeycol1752 = [1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol1753 = [2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0] pubkeycol1754 = [0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol1755 = [1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2] pubkeycol1756 = [0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2] pubkeycol1757 = [1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol1758 = [2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol1759 = [0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol1760 = [0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol1761 = [1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol1762 = [2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol1763 = [0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2] pubkeycol1764 = [0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol1765 = [1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1] pubkeycol1766 = [2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2] pubkeycol1767 = [2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol1768 = [1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol1769 = [0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol1770 = [2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol1771 = [1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1] pubkeycol1772 = [0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol1773 = [1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol1774 = [0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1] pubkeycol1775 = [2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol1776 = [1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol1777 = [2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol1778 = [2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol1779 = [2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0] pubkeycol1780 = [0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol1781 = [0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2] pubkeycol1782 = [0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol1783 = [2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol1784 = [1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol1785 = [2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol1786 = [1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol1787 = [2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol1788 = [2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol1789 = [1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol1790 = [2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol1791 = [1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol1792 = [1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol1793 = [2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol1794 = [0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2] pubkeycol1795 = [1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0] pubkeycol1796 = [0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0] pubkeycol1797 = [1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol1798 = [0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol1799 = [0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol1800 = [1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol1801 = [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol1802 = [2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol1803 = [0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1] pubkeycol1804 = [0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1] pubkeycol1805 = [2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol1806 = [0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1] pubkeycol1807 = [1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1] pubkeycol1808 = [2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2] pubkeycol1809 = [2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol1810 = [1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol1811 = [1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol1812 = [1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol1813 = [2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol1814 = [0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol1815 = [0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol1816 = [2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol1817 = [2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0] pubkeycol1818 = [1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol1819 = [1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0] pubkeycol1820 = [1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2] pubkeycol1821 = [1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol1822 = [2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2] pubkeycol1823 = [0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0] pubkeycol1824 = [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2] pubkeycol1825 = [0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2] pubkeycol1826 = [2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1] pubkeycol1827 = [1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1] pubkeycol1828 = [1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol1829 = [2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol1830 = [2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0] pubkeycol1831 = [0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol1832 = [0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol1833 = [1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2] pubkeycol1834 = [0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol1835 = [0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol1836 = [2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol1837 = [1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol1838 = [1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2] pubkeycol1839 = [2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1] pubkeycol1840 = [2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol1841 = [1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol1842 = [2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol1843 = [0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0] pubkeycol1844 = [1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1] pubkeycol1845 = [2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol1846 = [2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol1847 = [2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol1848 = [1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2] pubkeycol1849 = [0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol1850 = [0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol1851 = [2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0] pubkeycol1852 = [2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol1853 = [1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol1854 = [0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol1855 = [2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1] pubkeycol1856 = [1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol1857 = [0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol1858 = [2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol1859 = [1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2] pubkeycol1860 = [1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol1861 = [2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol1862 = [1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol1863 = [2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2] pubkeycol1864 = [1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol1865 = [1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol1866 = [1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol1867 = [2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1] pubkeycol1868 = [1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol1869 = [1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1] pubkeycol1870 = [1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2] pubkeycol1871 = [1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol1872 = [2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol1873 = [0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol1874 = [2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol1875 = [1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol1876 = [1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol1877 = [1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol1878 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol1879 = [0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol1880 = [0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1] pubkeycol1881 = [1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol1882 = [1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol1883 = [2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol1884 = [0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol1885 = [1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol1886 = [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol1887 = [1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1] pubkeycol1888 = [1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1] pubkeycol1889 = [2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol1890 = [1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol1891 = [2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol1892 = [2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0] pubkeycol1893 = [1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0] pubkeycol1894 = [2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol1895 = [1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol1896 = [0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol1897 = [0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2] pubkeycol1898 = [1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol1899 = [1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol1900 = [0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol1901 = [0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol1902 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol1903 = [1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1] pubkeycol1904 = [2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2] pubkeycol1905 = [0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol1906 = [1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol1907 = [0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol1908 = [1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol1909 = [1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1] pubkeycol1910 = [1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol1911 = [2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol1912 = [2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol1913 = [1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol1914 = [1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol1915 = [0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol1916 = [0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol1917 = [1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol1918 = [2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol1919 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol1920 = [2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol1921 = [1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol1922 = [1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol1923 = [1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2]