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,